iProverMo---2.5-0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV598-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n021.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  : 600s
% DateTime : Wed Jul 20 19:20:31 EDT 2022

% Result   : Unsatisfiable 7.80s 8.73s
% Output   : CNFRefutation 7.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      : 1339
% Syntax   : Number of formulae    : 10267 (1363 unt;   0 def)
%            Number of atoms       : 29703 (6467 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 37275 (17839   ~;19436   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   80 (  78 usr;   1 prp; 0-3 aty)
%            Number of functors    :   47 (  47 usr;   8 con; 0-3 aty)
%            Number of variables   : 26580 ( 596 sgn9831   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X39,X40,X1,X41,X42,X2,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X39,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X39,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X40,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X40,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,X39,X3)
      | ~ c_lessequals(X40,X1,X3)
      | ~ c_lessequals(X2,X41,X3)
      | ~ c_lessequals(X42,X2,X3) ),
    file('<stdin>',cls_mult__ge__prts_0) ).

fof(c_0_1,axiom,
    ! [X39,X40,X1,X41,X42,X2,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X39,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X39,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X40,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X40,X3),X3),X3),X3)
      | ~ c_lessequals(X1,X39,X3)
      | ~ c_lessequals(X40,X1,X3)
      | ~ c_lessequals(X2,X41,X3)
      | ~ c_lessequals(X42,X2,X3) ),
    file('<stdin>',cls_mult__le__prts_0) ).

fof(c_0_2,axiom,
    ! [X37,X1,X2] : c_HOL_Ominus__class_Ominus(hAPP(X37,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X37,X1),hAPP(X37,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X37,X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X37,X1),hAPP(X37,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_lemma__MVT_0) ).

fof(c_0_3,axiom,
    ! [X4,X5,X30,X32] : c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X32,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X30,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X32,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X30,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_abs__sum__triangle__ineq_0) ).

fof(c_0_4,axiom,
    ! [X4,X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X4,X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X3),c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X3),X1,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X3) ),
    file('<stdin>',cls_mult_Oprod__diff__prod_0) ).

fof(c_0_5,axiom,
    ! [X4,X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X5,X4,X3),c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X5,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X5,X2,tc_RealDef_Oreal),X1,X3),X3),c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X3) ),
    file('<stdin>',cls_scaleR_Oprod__diff__prod_0) ).

fof(c_0_6,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X8,X15,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X8,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X15,X3),X3),X3),X3) ),
    file('<stdin>',cls_abs__diff__triangle__ineq_0) ).

fof(c_0_7,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X8,X15,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X8,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X15,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__diff__triangle__ineq_0) ).

fof(c_0_8,axiom,
    ! [X10,X15,X8,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X8,X15,X3),X3),X10,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X15,X3),X10,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X8,X3),X10,X3),X15,X3),X3) ),
    file('<stdin>',cls_DERIV__mult__lemma_0) ).

fof(c_0_9,axiom,
    ! [X10,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),X10,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X1,X3),X10,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_DERIV__inverse__lemma_0) ).

fof(c_0_10,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3) ),
    file('<stdin>',cls_less__add__iff2_1) ).

fof(c_0_11,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3) ),
    file('<stdin>',cls_less__add__iff1_1) ).

fof(c_0_12,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3) ),
    file('<stdin>',cls_le__add__iff1_1) ).

fof(c_0_13,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3) ),
    file('<stdin>',cls_le__add__iff2_1) ).

fof(c_0_14,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    file('<stdin>',cls_less__add__iff2_0) ).

fof(c_0_15,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    file('<stdin>',cls_less__add__iff1_0) ).

fof(c_0_16,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    file('<stdin>',cls_le__add__iff1_0) ).

fof(c_0_17,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    file('<stdin>',cls_le__add__iff2_0) ).

fof(c_0_18,axiom,
    ! [X5] :
      ( c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_aux5_0) ).

fof(c_0_19,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_arctan__add_0) ).

fof(c_0_20,axiom,
    ! [X4,X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__mult__self__sum__ge__zero_0) ).

fof(c_0_21,axiom,
    ! [X4,X5] : c_lessequals(X5,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    file('<stdin>',cls_le__real__sqrt__sumsq_0) ).

fof(c_0_22,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),X3),X3) ),
    file('<stdin>',cls_sum__squares__gt__zero__iff_0) ).

fof(c_0_23,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,X8,X3) ),
    file('<stdin>',cls_div__mod__equality2_0) ).

fof(c_0_24,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,X8,X3) ),
    file('<stdin>',cls_div__mod__equality_0) ).

fof(c_0_25,axiom,
    ! [X33,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X3) ),
    file('<stdin>',cls_eq__add__iff1_1) ).

fof(c_0_26,axiom,
    ! [X33,X15,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3) ),
    file('<stdin>',cls_eq__add__iff2_1) ).

fof(c_0_27,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_Deriv_Oinverse__diff__inverse_0) ).

fof(c_0_28,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Oinverse__class_Odivide(X7,X6,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X7,X4,X3),X3),c_HOL_Otimes__class_Otimes(X4,X6,X3),X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_add__frac__eq_0) ).

fof(c_0_29,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Oinverse__class_Odivide(X7,X6,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X7,X4,X3),X3),c_HOL_Otimes__class_Otimes(X4,X6,X3),X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_diff__frac__eq_0) ).

fof(c_0_30,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sum__squares__le__zero__iff_0) ).

fof(c_0_31,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sum__squares__le__zero__iff_1) ).

fof(c_0_32,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_not__sum__squares__lt__zero_0) ).

fof(c_0_33,axiom,
    ! [X4,X44,X5,X36] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X36,c_HOL_Oinverse__class_Oinverse(X44,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X44,X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X44,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__inverse__cancel2_0) ).

fof(c_0_34,axiom,
    ! [X4,X44,X5,X36] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X44,tc_RealDef_Oreal),X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X44,X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X44,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__inverse__cancel_0) ).

fof(c_0_35,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3),X3) ),
    file('<stdin>',cls_distrib__inf__le_0) ).

fof(c_0_36,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3),X3) ),
    file('<stdin>',cls_distrib__sup__le_0) ).

fof(c_0_37,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3)
      | X8 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3) ),
    file('<stdin>',cls_eq__add__iff2_0) ).

fof(c_0_38,axiom,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3) = X15 ),
    file('<stdin>',cls_eq__add__iff1_0) ).

fof(c_0_39,axiom,
    ! [X33,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Osemiring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X8,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X33,X3),X8,X3) ),
    file('<stdin>',cls_combine__common__factor_0) ).

fof(c_0_40,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X4,X3),c_HOL_Otimes__class_Otimes(X5,X6,X3),X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X6,X3),c_HOL_Otimes__class_Otimes(X5,X4,X3),X3)
      | X4 = X6
      | X7 = X5 ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_0) ).

fof(c_0_41,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X15,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | X8 = X15
      | X2 = X1 ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_0) ).

fof(c_0_42,axiom,
    ! [X5,X38,X36] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X5,X36,tc_RealDef_Oreal),X5,tc_RealDef_Oreal),tc_RealDef_Oreal),X38,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X36,tc_RealDef_Oreal),X38,tc_RealDef_Oreal) ),
    file('<stdin>',cls_sin__bound__lemma_0) ).

fof(c_0_43,axiom,
    ! [X5,X9,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X2,X3),X3),X9,X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X2,X9,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X9,X3),X5,X3) ),
    file('<stdin>',cls_abs__diff__less__iff_2) ).

fof(c_0_44,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__le__eq_9) ).

fof(c_0_45,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_le__divide__eq_9) ).

fof(c_0_46,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_less__divide__eq_9) ).

fof(c_0_47,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_less__divide__eq_8) ).

fof(c_0_48,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__less__eq_9) ).

fof(c_0_49,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__less__eq_8) ).

fof(c_0_50,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__le__eq_8) ).

fof(c_0_51,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_le__divide__eq_8) ).

fof(c_0_52,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_tan__add_0) ).

fof(c_0_53,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X8,X3),c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    file('<stdin>',cls_mod__mult__eq_0) ).

fof(c_0_54,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X8,X3),c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    file('<stdin>',cls_mod__diff__eq_0) ).

fof(c_0_55,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X8,X3),c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    file('<stdin>',cls_mod__add__eq_0) ).

fof(c_0_56,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),X3) ),
    file('<stdin>',cls_abs__triangle__ineq3_0) ).

fof(c_0_57,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq3_0) ).

fof(c_0_58,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_less__half__sum_0) ).

fof(c_0_59,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_gt__half__sum_0) ).

fof(c_0_60,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_divide__left__mono__neg_0) ).

fof(c_0_61,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_divide__strict__left__mono__neg_0) ).

fof(c_0_62,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    file('<stdin>',cls_divide__strict__left__mono_0) ).

fof(c_0_63,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X1,X2,X3) ),
    file('<stdin>',cls_divide__left__mono_0) ).

fof(c_0_64,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sum__squares__le__zero__iff_2) ).

fof(c_0_65,axiom,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X2,X5,X3),c_RealVector_Odist__class_Odist(X2,X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_dist__triangle3_0) ).

fof(c_0_66,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X5,X6,X3),c_RealVector_Odist__class_Odist(X4,X6,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_dist__triangle2_0) ).

fof(c_0_67,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X6,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X5,X4,X3),c_RealVector_Odist__class_Odist(X4,X6,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_dist__triangle_0) ).

fof(c_0_68,axiom,
    ! [X8,X18,X1,X20,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(X1,X8,X3) != c_Divides_Odiv__class_Omod(X18,X8,X3)
      | c_Divides_Odiv__class_Omod(X2,X8,X3) != c_Divides_Odiv__class_Omod(X20,X8,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X20,X18,X3),X8,X3) ),
    file('<stdin>',cls_mod__diff__cong_0) ).

fof(c_0_69,axiom,
    ! [X8,X18,X1,X20,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X1,X8,X3) != c_Divides_Odiv__class_Omod(X18,X8,X3)
      | c_Divides_Odiv__class_Omod(X2,X8,X3) != c_Divides_Odiv__class_Omod(X20,X8,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X20,X18,X3),X8,X3) ),
    file('<stdin>',cls_mod__mult__cong_0) ).

fof(c_0_70,axiom,
    ! [X8,X18,X1,X20,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X1,X8,X3) != c_Divides_Odiv__class_Omod(X18,X8,X3)
      | c_Divides_Odiv__class_Omod(X2,X8,X3) != c_Divides_Odiv__class_Omod(X20,X8,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X20,X18,X3),X8,X3) ),
    file('<stdin>',cls_mod__add__cong_0) ).

fof(c_0_71,axiom,
    ! [X4,X5,X21,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),c_HOL_Otimes__class_Otimes(X9,X21,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X3),X21,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X3),X9,tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__mult__less_0) ).

fof(c_0_72,axiom,
    ! [X4,X5,X21,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3),c_HOL_Oplus__class_Oplus(X9,X21,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X3),X21,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X3),X9,tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__add__less_0) ).

fof(c_0_73,axiom,
    ! [X22,X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X24,c_HOL_Otimes__class_Otimes(X23,X22,X3),X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I14_J_0) ).

fof(c_0_74,axiom,
    ! [X22,X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(X23,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),X22,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I15_J_0) ).

fof(c_0_75,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_mult__less__le__imp__less_0) ).

fof(c_0_76,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_mult__le__less__imp__less_0) ).

fof(c_0_77,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X6,X3),c_HOL_Oinverse__class_Odivide(X4,X7,X3),X3)
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X7,X3)
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_frac__le_0) ).

fof(c_0_78,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X3),c_HOL_Oinverse__class_Odivide(X4,X7,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X7,X3)
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_frac__less2_0) ).

fof(c_0_79,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_mult__strict__mono_0) ).

fof(c_0_80,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_mult__mono_H_0) ).

fof(c_0_81,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_mult__mono_0) ).

fof(c_0_82,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X3),c_HOL_Oinverse__class_Odivide(X4,X7,X3),X3)
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X7,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_frac__less_0) ).

fof(c_0_83,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_mult__strict__mono_H_0) ).

fof(c_0_84,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),c_HOL_Otimes__class_Otimes(X8,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X15,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X8,X3) ),
    file('<stdin>',cls_abs__mult__less_0) ).

fof(c_0_85,axiom,
    ! [X5,X9,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X2,X9,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X2,X3),X3),X9,X3) ),
    file('<stdin>',cls_abs__diff__less__iff_1) ).

fof(c_0_86,axiom,
    ! [X5,X9,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X9,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X2,X3),X3),X9,X3) ),
    file('<stdin>',cls_abs__diff__less__iff_0) ).

fof(c_0_87,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__gt__zero__iff_1) ).

fof(c_0_88,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__gt__zero__iff_2) ).

fof(c_0_89,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),X3) ),
    file('<stdin>',cls_sum__squares__ge__zero_0) ).

fof(c_0_90,axiom,
    ! [X4,X5] :
      ( c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_lemma__tan__add1_0) ).

fof(c_0_91,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_le__divide__eq_4) ).

fof(c_0_92,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_le__divide__eq_1) ).

fof(c_0_93,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_divide__le__eq_4) ).

fof(c_0_94,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    file('<stdin>',cls_divide__le__eq_1) ).

fof(c_0_95,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_less__divide__eq_7) ).

fof(c_0_96,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_less__divide__eq_5) ).

fof(c_0_97,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_less__divide__eq_4) ).

fof(c_0_98,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_less__divide__eq_1) ).

fof(c_0_99,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__less__eq_7) ).

fof(c_0_100,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_divide__less__eq_5) ).

fof(c_0_101,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_divide__less__eq_4) ).

fof(c_0_102,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    file('<stdin>',cls_divide__less__eq_1) ).

fof(c_0_103,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_le__divide__eq_7) ).

fof(c_0_104,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_le__divide__eq_5) ).

fof(c_0_105,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__le__eq_7) ).

fof(c_0_106,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_divide__le__eq_5) ).

fof(c_0_107,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__neg_0) ).

fof(c_0_108,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_mult__less__cancel__left__pos_0) ).

fof(c_0_109,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X1,X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__cancel__left__neg_0) ).

fof(c_0_110,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_mult__le__cancel__left__pos_0) ).

fof(c_0_111,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    file('<stdin>',cls_mult__left__le__imp__le_0) ).

fof(c_0_112,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_mult__right__le__imp__le_0) ).

fof(c_0_113,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    file('<stdin>',cls_mult__left__less__imp__less_0) ).

fof(c_0_114,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_mult__right__less__imp__less_0) ).

fof(c_0_115,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    file('<stdin>',cls_mult__less__imp__less__left_0) ).

fof(c_0_116,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_mult__less__imp__less__right_0) ).

fof(c_0_117,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__square__gt__zero_0) ).

fof(c_0_118,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__square__gt__zero2_0) ).

fof(c_0_119,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_division__ring__inverse__diff_0) ).

fof(c_0_120,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_division__ring__inverse__add_0) ).

fof(c_0_121,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__add_0) ).

fof(c_0_122,axiom,
    ! [X4,X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__mult__self__sum__ge__zero_0) ).

fof(c_0_123,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oplus__class_Oplus(X6,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3),X4,X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_add__num__frac_0) ).

fof(c_0_124,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3),X4,X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_add__frac__num_0) ).

fof(c_0_125,axiom,
    ! [X6,X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__less__iff1_0) ).

fof(c_0_126,axiom,
    ! [X6,X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__le__cancel__iff1_0) ).

fof(c_0_127,axiom,
    ! [X6,X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__le__cancel__iff2_0) ).

fof(c_0_128,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_0) ).

fof(c_0_129,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_0) ).

fof(c_0_130,axiom,
    ! [X5,X15,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X8,X3),c_HOL_Otimes__class_Otimes(X5,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X15,X3),c_HOL_Otimes__class_Otimes(X5,X8,X3),X3) ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_1) ).

fof(c_0_131,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X3),c_HOL_Otimes__class_Otimes(X5,X6,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_1) ).

fof(c_0_132,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Oinverse__class_Odivide(X6,X7,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X4,X7,X3),X3) ),
    file('<stdin>',cls_mult__frac__frac_0) ).

fof(c_0_133,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X8,X3),X3),X1,X3) = c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__mult__self2_0) ).

fof(c_0_134,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X8,X1,X3),X3),X1,X3) = c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__mult__self1_0) ).

fof(c_0_135,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_2) ).

fof(c_0_136,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_1) ).

fof(c_0_137,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_2) ).

fof(c_0_138,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_1) ).

fof(c_0_139,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    file('<stdin>',cls_mod__diff__right__eq_0) ).

fof(c_0_140,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) ),
    file('<stdin>',cls_mod__diff__left__eq_0) ).

fof(c_0_141,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) ),
    file('<stdin>',cls_mod__mult__left__eq_0) ).

fof(c_0_142,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    file('<stdin>',cls_mod__mult__right__eq_0) ).

fof(c_0_143,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ominus__class_Ominus(X8,X15,X3),X3) ),
    file('<stdin>',cls_Deriv_Oadd__diff__add_0) ).

fof(c_0_144,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) ),
    file('<stdin>',cls_mod__add__left__eq_0) ).

fof(c_0_145,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    file('<stdin>',cls_mod__add__right__eq_0) ).

fof(c_0_146,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X8,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).

fof(c_0_147,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) ),
    file('<stdin>',cls_zmod__simps_I4_J_0) ).

fof(c_0_148,axiom,
    ! [X22,X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X23,X3),c_HOL_Otimes__class_Otimes(X24,X22,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I13_J_0) ).

fof(c_0_149,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) ),
    file('<stdin>',cls_zmod__simps_I1_J_0) ).

fof(c_0_150,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) ),
    file('<stdin>',cls_zmod__simps_I2_J_0) ).

fof(c_0_151,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_3) ).

fof(c_0_152,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_3) ).

fof(c_0_153,axiom,
    ! [X5,X9,X15,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X9,X8,X3),X3) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X9,X15,X3),X3)
      | X8 = X15
      | X9 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Oadd__scale__eq__noteq_0) ).

fof(c_0_154,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    file('<stdin>',cls_divide__le__eq_0) ).

fof(c_0_155,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__le__eq_6) ).

fof(c_0_156,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_le__divide__eq_0) ).

fof(c_0_157,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_le__divide__eq_6) ).

fof(c_0_158,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_less__divide__eq_6) ).

fof(c_0_159,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_less__divide__eq_0) ).

fof(c_0_160,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    file('<stdin>',cls_divide__less__eq_6) ).

fof(c_0_161,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    file('<stdin>',cls_divide__less__eq_0) ).

fof(c_0_162,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3)
      | ~ c_lessequals(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    file('<stdin>',cls_mult__imp__div__pos__le_0) ).

fof(c_0_163,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(X6,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X4,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    file('<stdin>',cls_mult__imp__le__div__pos_0) ).

fof(c_0_164,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X4,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    file('<stdin>',cls_mult__imp__less__div__pos_0) ).

fof(c_0_165,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    file('<stdin>',cls_mult__imp__div__pos__less_0) ).

fof(c_0_166,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) ),
    file('<stdin>',cls_abs__triangle__ineq4_0) ).

fof(c_0_167,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) ),
    file('<stdin>',cls_abs__triangle__ineq_0) ).

fof(c_0_168,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) ),
    file('<stdin>',cls_abs__le__mult_0) ).

fof(c_0_169,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),X3) ),
    file('<stdin>',cls_abs__triangle__ineq2_0) ).

fof(c_0_170,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_le__add__right__mono_0) ).

fof(c_0_171,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X3),c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq_0) ).

fof(c_0_172,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq2_0) ).

fof(c_0_173,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__diff__ineq_0) ).

fof(c_0_174,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X3),c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__mult__ineq_0) ).

fof(c_0_175,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq4_0) ).

fof(c_0_176,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X4),X4,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__x__over__x__mono_0) ).

fof(c_0_177,axiom,
    ! [X5,X1,X2] :
      ( c_Log_Olog(X2,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal),c_Log_Olog(X1,X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__eq__div__ln__mult__log_0) ).

fof(c_0_178,axiom,
    ! [X4,X5,X2] :
      ( c_Log_Olog(X2,c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__divide_0) ).

fof(c_0_179,axiom,
    ! [X4,X5,X2] :
      ( c_Log_Olog(X2,c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__mult_0) ).

fof(c_0_180,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X1,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),X3) = X2 ),
    file('<stdin>',cls_semiring__div__class_Omod__div__equality_H_0) ).

fof(c_0_181,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2 ),
    file('<stdin>',cls_mod__div__equality2_0) ).

fof(c_0_182,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2 ),
    file('<stdin>',cls_mod__div__equality_0) ).

fof(c_0_183,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | X2 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) ),
    file('<stdin>',cls_mod__div__decomp_0) ).

fof(c_0_184,axiom,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__less__cancel__iff_0) ).

fof(c_0_185,axiom,
    ! [X4,X5,X2] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__le__cancel__iff_0) ).

fof(c_0_186,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_add__less__cancel__right_0) ).

fof(c_0_187,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3) ),
    file('<stdin>',cls_add__less__cancel__left_0) ).

fof(c_0_188,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3) ),
    file('<stdin>',cls_add__le__cancel__left_0) ).

fof(c_0_189,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_add__le__cancel__right_0) ).

fof(c_0_190,axiom,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__one__minus__pos__upper__bound_0) ).

fof(c_0_191,axiom,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
    file('<stdin>',cls_CHAINED_0_02) ).

fof(c_0_192,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X8,c_HOL_Oabs__class_Oabs(X1,X3),X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) ),
    file('<stdin>',cls_estimate__by__abs_0) ).

fof(c_0_193,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_add__tan__eq_0) ).

fof(c_0_194,axiom,
    ! [X4,X5,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X3),c_HOL_Otimes__class_Otimes(X8,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__ratiotest__lemma_0) ).

fof(c_0_195,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),c_HOL_Oinverse__class_Odivide(X2,X8,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_divide__right__mono__neg_0) ).

fof(c_0_196,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_divide__right__mono_0) ).

fof(c_0_197,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__neg_1) ).

fof(c_0_198,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_mult__less__cancel__left__pos_1) ).

fof(c_0_199,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    file('<stdin>',cls_mult__strict__left__mono__neg_0) ).

fof(c_0_200,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_mult__strict__left__mono_0) ).

fof(c_0_201,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_4) ).

fof(c_0_202,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_5) ).

fof(c_0_203,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    file('<stdin>',cls_mult__strict__right__mono__neg_0) ).

fof(c_0_204,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_mult__strict__right__mono_0) ).

fof(c_0_205,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_4) ).

fof(c_0_206,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_5) ).

fof(c_0_207,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_mult__strict__left__mono__comm_0) ).

fof(c_0_208,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__cancel__left__neg_1) ).

fof(c_0_209,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_mult__le__cancel__left__pos_1) ).

fof(c_0_210,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    file('<stdin>',cls_divide__strict__right__mono__neg_0) ).

fof(c_0_211,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_divide__strict__right__mono_0) ).

fof(c_0_212,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,X2,X3) ),
    file('<stdin>',cls_mult__right__mono__neg_0) ).

fof(c_0_213,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,X2,X3) ),
    file('<stdin>',cls_mult__left__mono__neg_0) ).

fof(c_0_214,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_mult__right__mono_0) ).

fof(c_0_215,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_mult__left__mono_0) ).

fof(c_0_216,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Omult__mono1(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_mult__mono1_0) ).

fof(c_0_217,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X5,X3),X5,X3)
      | ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_mult__left__le__one__le_0) ).

fof(c_0_218,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X3),X5,X3)
      | ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_mult__right__le__one__le_0) ).

fof(c_0_219,axiom,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__less__cancel__iff_1) ).

fof(c_0_220,axiom,
    ! [X4,X5,X2] :
      ( c_lessequals(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__le__cancel__iff_1) ).

fof(c_0_221,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    file('<stdin>',cls_divide__le__eq_2) ).

fof(c_0_222,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_le__divide__eq_2) ).

fof(c_0_223,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_less__divide__eq_2) ).

fof(c_0_224,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    file('<stdin>',cls_divide__less__eq_2) ).

fof(c_0_225,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_add__strict__mono_0) ).

fof(c_0_226,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_add__le__less__mono_0) ).

fof(c_0_227,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_add__less__le__mono_0) ).

fof(c_0_228,axiom,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_add__mono_0) ).

fof(c_0_229,axiom,
    ! [X4,X5,X8] :
      ( X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,c_HOL_Oabs__class_Oabs(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_rabs__ratiotest__lemma_0) ).

fof(c_0_230,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_1) ).

fof(c_0_231,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_0) ).

fof(c_0_232,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X1,X3),X8,X3) ),
    file('<stdin>',cls_mod__mult__mult2_0) ).

fof(c_0_233,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) = c_HOL_Otimes__class_Otimes(X8,c_Divides_Odiv__class_Omod(X2,X1,X3),X3) ),
    file('<stdin>',cls_mod__mult__mult1_0) ).

fof(c_0_234,axiom,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X4,X3),X26,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X26,X3),c_HOL_Oinverse__class_Odivide(X4,X26,X3),X3) ),
    file('<stdin>',cls_divide_Oadd_0) ).

fof(c_0_235,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_add__divide__distrib_0) ).

fof(c_0_236,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X8,X1,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    file('<stdin>',cls_mod__mult__self1_0) ).

fof(c_0_237,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X8,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    file('<stdin>',cls_mod__mult__self2_0) ).

fof(c_0_238,axiom,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Oplus__class_Oplus(X1,X18,X3),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X2,X18,X3),X3) ),
    file('<stdin>',cls_scaleR_Oadd__right_0) ).

fof(c_0_239,axiom,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X2,X4,X3),X3) ),
    file('<stdin>',cls_scaleR__right_Oadd_0) ).

fof(c_0_240,axiom,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X4,X3),X26,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X26,X3),c_HOL_Otimes__class_Otimes(X4,X26,X3),X3) ),
    file('<stdin>',cls_mult__left_Odiff_0) ).

fof(c_0_241,axiom,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X20,X3),X1,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X20,X1,X3),X3) ),
    file('<stdin>',cls_mult_Odiff__left_0) ).

fof(c_0_242,axiom,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X1,X18,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X2,X18,X3),X3) ),
    file('<stdin>',cls_mult_Odiff__right_0) ).

fof(c_0_243,axiom,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X19,X5,X3),c_HOL_Otimes__class_Otimes(X19,X4,X3),X3) ),
    file('<stdin>',cls_mult__right_Odiff_0) ).

fof(c_0_244,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X8,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_add__inf__distrib__right_0) ).

fof(c_0_245,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X8,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    file('<stdin>',cls_add__inf__distrib__left_0) ).

fof(c_0_246,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X8,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0) ).

fof(c_0_247,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X8,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0) ).

fof(c_0_248,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0) ).

fof(c_0_249,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0) ).

fof(c_0_250,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    file('<stdin>',cls_add__sup__distrib__left_0) ).

fof(c_0_251,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_add__sup__distrib__right_0) ).

fof(c_0_252,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__distrib1_0) ).

fof(c_0_253,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X5,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3),c_Lattices_Olower__semilattice__class_Oinf(X6,X5,X3),X3) ),
    file('<stdin>',cls_inf__sup__distrib2_0) ).

fof(c_0_254,axiom,
    ! [X30,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X30,X3),c_HOL_Otimes__class_Otimes(X1,X30,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X30,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I1_J_0) ).

fof(c_0_255,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_comm__semiring__class_Odistrib_0) ).

fof(c_0_256,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X3),c_HOL_Otimes__class_Otimes(X5,X6,X3),X3) ),
    file('<stdin>',cls_class__semiring_Omul__d_0) ).

fof(c_0_257,axiom,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X20,X3),X1,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X20,X1,X3),X3) ),
    file('<stdin>',cls_mult_Oadd__left_0) ).

fof(c_0_258,axiom,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X4,X3),X26,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X26,X3),c_HOL_Otimes__class_Otimes(X4,X26,X3),X3) ),
    file('<stdin>',cls_mult__left_Oadd_0) ).

fof(c_0_259,axiom,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,X18,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X2,X18,X3),X3) ),
    file('<stdin>',cls_mult_Oadd__right_0) ).

fof(c_0_260,axiom,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X5,X3),c_HOL_Otimes__class_Otimes(X19,X4,X3),X3) ),
    file('<stdin>',cls_mult__right_Oadd_0) ).

fof(c_0_261,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I8_J_0) ).

fof(c_0_262,axiom,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X4,X3),X26,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X26,X3),c_HOL_Oinverse__class_Odivide(X4,X26,X3),X3) ),
    file('<stdin>',cls_divide_Odiff_0) ).

fof(c_0_263,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    file('<stdin>',cls_diff__divide__distrib_0) ).

fof(c_0_264,axiom,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X1,X18,X3),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X2,X18,X3),X3) ),
    file('<stdin>',cls_scaleR_Odiff__right_0) ).

fof(c_0_265,axiom,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X2,X4,X3),X3) ),
    file('<stdin>',cls_scaleR__right_Odiff_0) ).

fof(c_0_266,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X5,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X3),c_Lattices_Oupper__semilattice__class_Osup(X6,X5,X3),X3) ),
    file('<stdin>',cls_sup__inf__distrib2_0) ).

fof(c_0_267,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3) ),
    file('<stdin>',cls_sup__inf__distrib1_0) ).

fof(c_0_268,axiom,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X2,X20,tc_RealDef_Oreal),X1,X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X20,X1,X3),X3) ),
    file('<stdin>',cls_scaleR_Oadd__left_0) ).

fof(c_0_269,axiom,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),X19,X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X5,X19,X3),c_RealVector_OscaleR__class_OscaleR(X4,X19,X3),X3) ),
    file('<stdin>',cls_scaleR__left_Oadd_0) ).

fof(c_0_270,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),X5,X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) ),
    file('<stdin>',cls_real__vector_Oscale__left__distrib_0) ).

fof(c_0_271,axiom,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X2,X20,tc_RealDef_Oreal),X1,X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X20,X1,X3),X3) ),
    file('<stdin>',cls_scaleR_Odiff__left_0) ).

fof(c_0_272,axiom,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),X19,X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X5,X19,X3),c_RealVector_OscaleR__class_OscaleR(X4,X19,X3),X3) ),
    file('<stdin>',cls_scaleR__left_Odiff_0) ).

fof(c_0_273,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),X5,X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) ),
    file('<stdin>',cls_scaleR__left__diff__distrib_0) ).

fof(c_0_274,axiom,
    ! [X6,X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__less__iff1_1) ).

fof(c_0_275,axiom,
    ! [X6,X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__less__mono2_0) ).

fof(c_0_276,axiom,
    ! [X6,X4,X5] :
      ( c_lessequals(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__le__cancel__iff1_1) ).

fof(c_0_277,axiom,
    ! [X6,X4,X5] :
      ( c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__le__cancel__iff2_1) ).

fof(c_0_278,axiom,
    ! [X5] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__squared__diff__one__factored_0) ).

fof(c_0_279,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__less__mult__pos_0) ).

fof(c_0_280,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    file('<stdin>',cls_zero__less__mult__pos2_0) ).

fof(c_0_281,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_abs__eq__mult_0) ).

fof(c_0_282,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_abs__eq__mult_1) ).

fof(c_0_283,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__eq__mult_2) ).

fof(c_0_284,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__eq__mult_3) ).

fof(c_0_285,axiom,
    ! [X5,X2] :
      ( c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X5),X2),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X2,X2),X5,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_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__powr__bound2_0) ).

fof(c_0_286,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__squares__cancel2_0) ).

fof(c_0_287,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__squares__cancel_0) ).

fof(c_0_288,axiom,
    ! [X4,X5] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__add_0) ).

fof(c_0_289,axiom,
    ! [X4,X5] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X4),c_Transcendental_Osin(X5),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__diff2_0) ).

fof(c_0_290,axiom,
    ! [X4,X5] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__diff_0) ).

fof(c_0_291,axiom,
    ! [X4,X5] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_cos__diff_0) ).

fof(c_0_292,axiom,
    ! [X4,X5] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X4),c_Transcendental_Osin(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_cos__diff2_0) ).

fof(c_0_293,axiom,
    ! [X4,X5] : c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_cos__add_0) ).

fof(c_0_294,axiom,
    ! [X28,X29,X7] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X29,X28,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X28,X7,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__add__mult__distrib_0) ).

fof(c_0_295,axiom,
    ! [X6,X4,X5,X36,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) != c_HOL_Oplus__class_Oplus(X4,X36,X3)
      | c_HOL_Oplus__class_Oplus(X5,X6,X3) = X36 ),
    file('<stdin>',cls_add__cancel__21_0) ).

fof(c_0_296,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__less__0__iff_0) ).

fof(c_0_297,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__less__0__iff_1) ).

fof(c_0_298,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__less__0__iff_2) ).

fof(c_0_299,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__less__0__iff_3) ).

fof(c_0_300,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__le__0__iff_3) ).

fof(c_0_301,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__le__0__iff_2) ).

fof(c_0_302,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__le__0__iff_1) ).

fof(c_0_303,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__le__0__iff_0) ).

fof(c_0_304,axiom,
    ! [X4,X5,X2] :
      ( c_Log_Opowr(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),X2) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__mult_0) ).

fof(c_0_305,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__divide__iff_0) ).

fof(c_0_306,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__divide__iff_1) ).

fof(c_0_307,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__divide__iff_2) ).

fof(c_0_308,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__divide__iff_3) ).

fof(c_0_309,axiom,
    ! [X4,X5,X2] :
      ( c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__divide_0) ).

fof(c_0_310,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__less__divide__iff_3) ).

fof(c_0_311,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__less__divide__iff_2) ).

fof(c_0_312,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__less__divide__iff_1) ).

fof(c_0_313,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__less__divide__iff_0) ).

fof(c_0_314,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_divide__le__eq_3) ).

fof(c_0_315,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_le__divide__eq_3) ).

fof(c_0_316,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_less__divide__eq_3) ).

fof(c_0_317,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_divide__less__eq_3) ).

fof(c_0_318,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_3) ).

fof(c_0_319,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_2) ).

fof(c_0_320,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_1) ).

fof(c_0_321,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_0) ).

fof(c_0_322,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_3) ).

fof(c_0_323,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_2) ).

fof(c_0_324,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_1) ).

fof(c_0_325,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_0) ).

fof(c_0_326,axiom,
    ! [X5,X2] :
      ( c_lessequals(c_Transcendental_Oln(X5),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X5,X2),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_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__powr__bound_0) ).

fof(c_0_327,axiom,
    ! [X5,X36] : c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X36,X36,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__minus__mult__self__le_0) ).

fof(c_0_328,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X1,X3) ),
    file('<stdin>',cls_mod__minus__eq_0) ).

fof(c_0_329,axiom,
    ! [X34,X35] :
      ( c_HOL_Oord__class_Oless(X34,X35,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X35,c_HOL_Ouminus__class_Ouminus(X34,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__gt__zero__less_0) ).

fof(c_0_330,axiom,
    ! [X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X5,X3),X3),c_HOL_Oinverse__class_Oinverse(X9,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
      | ~ c_lessequals(X9,c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_Bseq__inverse__lemma_0) ).

fof(c_0_331,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__less__0__iff_5) ).

fof(c_0_332,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_divide__less__0__iff_4) ).

fof(c_0_333,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_zero__le__divide__iff_5) ).

fof(c_0_334,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_zero__le__divide__iff_4) ).

fof(c_0_335,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_divide__le__0__iff_4) ).

fof(c_0_336,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__le__0__iff_5) ).

fof(c_0_337,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_zero__less__divide__iff_5) ).

fof(c_0_338,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_zero__less__divide__iff_4) ).

fof(c_0_339,axiom,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__add__one__self__le__self_0) ).

fof(c_0_340,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_add__nonpos__nonpos_0) ).

fof(c_0_341,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_divide__pos__neg_0) ).

fof(c_0_342,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__neg__pos_0) ).

fof(c_0_343,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_add__pos__pos_0) ).

fof(c_0_344,axiom,
    ! [X45,X30,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Otimes__class_Otimes(X30,X45,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X45,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X30,X3) ),
    file('<stdin>',cls_less__1__mult_0) ).

fof(c_0_345,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_add__nonneg__nonneg_0) ).

fof(c_0_346,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_add__neg__neg_0) ).

fof(c_0_347,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_add__pos__nonneg_0) ).

fof(c_0_348,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_add__nonneg__pos_0) ).

fof(c_0_349,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_mult__nonneg__nonpos2_0) ).

fof(c_0_350,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__nonpos__nonneg_0) ).

fof(c_0_351,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_mult__nonneg__nonpos_0) ).

fof(c_0_352,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_split__mult__neg__le_1) ).

fof(c_0_353,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_split__mult__neg__le_0) ).

fof(c_0_354,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_5) ).

fof(c_0_355,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_mult__le__0__iff_4) ).

fof(c_0_356,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__nonpos__neg_0) ).

fof(c_0_357,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_divide__nonneg__pos_0) ).

fof(c_0_358,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_divide__pos__pos_0) ).

fof(c_0_359,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__neg__neg_0) ).

fof(c_0_360,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_mult__nonneg__nonneg_0) ).

fof(c_0_361,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_5) ).

fof(c_0_362,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_zero__le__mult__iff_4) ).

fof(c_0_363,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__nonpos__nonpos_0) ).

fof(c_0_364,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_split__mult__pos__le_1) ).

fof(c_0_365,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_split__mult__pos__le_0) ).

fof(c_0_366,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__neg__neg_0) ).

fof(c_0_367,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_mult__pos__pos_0) ).

fof(c_0_368,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_add__neg__nonpos_0) ).

fof(c_0_369,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_add__nonpos__neg_0) ).

fof(c_0_370,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__nonpos__pos_0) ).

fof(c_0_371,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_divide__nonneg__neg_0) ).

fof(c_0_372,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_mult__pos__neg2_0) ).

fof(c_0_373,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_mult__pos__neg_0) ).

fof(c_0_374,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__neg__pos_0) ).

fof(c_0_375,axiom,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X4,X2),c_Log_Opowr(X5,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__less__mono2__neg_0) ).

fof(c_0_376,axiom,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__less__mono2_0) ).

fof(c_0_377,axiom,
    ! [X4,X5,X2] :
      ( c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__mono2_0) ).

fof(c_0_378,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_0) ).

fof(c_0_379,axiom,
    ! [X4,X5] :
      ( c_lessequals(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_1) ).

fof(c_0_380,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_add__strict__right__mono_0) ).

fof(c_0_381,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_add__less__cancel__right_1) ).

fof(c_0_382,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_add__strict__left__mono_0) ).

fof(c_0_383,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_add__less__cancel__left_1) ).

fof(c_0_384,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_add__left__mono_0) ).

fof(c_0_385,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_add__right__mono_0) ).

fof(c_0_386,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_add__le__cancel__left_1) ).

fof(c_0_387,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_add__le__cancel__right_1) ).

fof(c_0_388,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3) ),
    file('<stdin>',cls_zero__le__divide__1__iff_0) ).

fof(c_0_389,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__le__0__1__iff_0) ).

fof(c_0_390,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__less__0__1__iff_0) ).

fof(c_0_391,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3) ),
    file('<stdin>',cls_zero__less__divide__1__iff_0) ).

fof(c_0_392,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_lessequals(X1,X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_add__strict__increasing_0) ).

fof(c_0_393,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_add__strict__increasing2_0) ).

fof(c_0_394,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_lessequals(X1,X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_add__increasing_0) ).

fof(c_0_395,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_lessequals(X1,X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    file('<stdin>',cls_add__increasing2_0) ).

fof(c_0_396,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__monotone__minus__pi__0_0) ).

fof(c_0_397,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__monotone__minus__pi__0_H_0) ).

fof(c_0_398,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__eq__neg_1) ).

fof(c_0_399,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_pos__add__strict_0) ).

fof(c_0_400,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__div_0) ).

fof(c_0_401,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__mult_0) ).

fof(c_0_402,axiom,
    ! [X6,X4,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__left__mono_0) ).

fof(c_0_403,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__divide__mult__cancel__left_0) ).

fof(c_0_404,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__divide__mult__cancel__right_0) ).

fof(c_0_405,axiom,
    ! [X30,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X30,c_HOL_Otimes__class_Otimes(X2,X30,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X30,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I3_J_0) ).

fof(c_0_406,axiom,
    ! [X30,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X30,X3),X30,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X30,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I2_J_0) ).

fof(c_0_407,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3)
      | ~ c_lessequals(X4,X6,X3)
      | ~ c_lessequals(X5,X6,X3) ),
    file('<stdin>',cls_le__sup__iff_2) ).

fof(c_0_408,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X5,X3)
      | ~ c_lessequals(X6,X5,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_sup__least_0) ).

fof(c_0_409,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X5,X3)
      | ~ c_lessequals(X1,X5,X3)
      | ~ c_lessequals(X2,X5,X3) ),
    file('<stdin>',cls_le__supI_0) ).

fof(c_0_410,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3)
      | ~ c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_inf__greatest_0) ).

fof(c_0_411,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3)
      | ~ c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_le__inf__iff_2) ).

fof(c_0_412,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3)
      | ~ c_lessequals(X5,X1,X3)
      | ~ c_lessequals(X5,X2,X3) ),
    file('<stdin>',cls_le__infI_0) ).

fof(c_0_413,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_HOL_Oone__class_Oone(X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__add__self1_0) ).

fof(c_0_414,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X1,X3),X1,X3) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_HOL_Oone__class_Oone(X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__add__self2_0) ).

fof(c_0_415,axiom,
    ! [X1,X20,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,X1,X3) != c_Divides_Odiv__class_Omod(X20,X1,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X20,X3),X1,X3) ),
    file('<stdin>',cls_mod__minus__cong_0) ).

fof(c_0_416,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3) ),
    file('<stdin>',cls_abs__add__abs_0) ).

fof(c_0_417,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_5) ).

fof(c_0_418,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_4) ).

fof(c_0_419,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_3) ).

fof(c_0_420,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_2) ).

fof(c_0_421,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__order_0) ).

fof(c_0_422,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3) ),
    file('<stdin>',cls_mult__frac__num_0) ).

fof(c_0_423,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) = c_Divides_Odiv__class_Odiv(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__mult__mult2_0) ).

fof(c_0_424,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) = c_Divides_Odiv__class_Odiv(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__mult__mult1_0) ).

fof(c_0_425,axiom,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__le__cancel__iff_0) ).

fof(c_0_426,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__less__cancel__iff_0) ).

fof(c_0_427,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_0) ).

fof(c_0_428,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3) ),
    file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_0) ).

fof(c_0_429,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3) ),
    file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_0) ).

fof(c_0_430,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_even__less__0__iff_0) ).

fof(c_0_431,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_0) ).

fof(c_0_432,axiom,
    ! [X5,X43,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X43,c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_RealVector_OscaleR__class_OscaleR(X43,X5,X3),X3) ),
    file('<stdin>',cls_scaleR__right_OscaleR_0) ).

fof(c_0_433,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) ),
    file('<stdin>',cls_scaleR__left__commute_0) ).

fof(c_0_434,axiom,
    ! [X9,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X9,X1,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) ),
    file('<stdin>',cls_scaleR_OscaleR__right_0) ).

fof(c_0_435,axiom,
    ! [X4,X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3) ),
    file('<stdin>',cls_divide_OscaleR_0) ).

fof(c_0_436,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I6_J_0) ).

fof(c_0_437,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I7_J_0) ).

fof(c_0_438,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) ),
    file('<stdin>',cls_sup__assoc_0) ).

fof(c_0_439,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3) ),
    file('<stdin>',cls_sup__left__commute_0) ).

fof(c_0_440,axiom,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_RealVector_OscaleR__class_OscaleR(X2,X4,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    file('<stdin>',cls_mult__scaleR__right_0) ).

fof(c_0_441,axiom,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    file('<stdin>',cls_mult__scaleR__left_0) ).

fof(c_0_442,axiom,
    ! [X19,X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X19,X5,X3),X3) ),
    file('<stdin>',cls_mult__right_OscaleR_0) ).

fof(c_0_443,axiom,
    ! [X9,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X9,X1,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_mult_OscaleR__right_0) ).

fof(c_0_444,axiom,
    ! [X4,X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    file('<stdin>',cls_mult__left_OscaleR_0) ).

fof(c_0_445,axiom,
    ! [X9,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X9,X2,X3),X1,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_mult_OscaleR__left_0) ).

fof(c_0_446,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).

fof(c_0_447,axiom,
    ! [X15,X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X8,X15,X3),X3) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X2,X15,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).

fof(c_0_448,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X8,X3),X1,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).

fof(c_0_449,axiom,
    ! [X15,X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X8,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X8,X3),X15,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).

fof(c_0_450,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

fof(c_0_451,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X5,X6,X3),X3) ),
    file('<stdin>',cls_add__cancel__21_1) ).

fof(c_0_452,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X4,X3),X6,X3) ),
    file('<stdin>',cls_class__semiring_Oadd__a_0) ).

fof(c_0_453,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).

fof(c_0_454,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).

fof(c_0_455,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) ),
    file('<stdin>',cls_add__eq__inf__sup_0) ).

fof(c_0_456,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X4,X6,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X4,X3),X6,X3) ),
    file('<stdin>',cls_class__semiring_Omul__a_0) ).

fof(c_0_457,axiom,
    ! [X22,X23,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(X23,c_HOL_Otimes__class_Otimes(X25,X22,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I19_J_0) ).

fof(c_0_458,axiom,
    ! [X22,X23,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X23,X3),X22,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I18_J_0) ).

fof(c_0_459,axiom,
    ! [X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),X23,X3) = c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X24,X23,X3),X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I17_J_0) ).

fof(c_0_460,axiom,
    ! [X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),X23,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X23,X3),X24,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I16_J_0) ).

fof(c_0_461,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    file('<stdin>',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).

fof(c_0_462,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I2_J_0) ).

fof(c_0_463,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I3_J_0) ).

fof(c_0_464,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    file('<stdin>',cls_inf__assoc_0) ).

fof(c_0_465,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3) ),
    file('<stdin>',cls_inf__left__commute_0) ).

fof(c_0_466,axiom,
    ! [X5] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal),
    file('<stdin>',cls_abs__add__one__not__less__self_0) ).

fof(c_0_467,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_2) ).

fof(c_0_468,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__add__iff_0) ).

fof(c_0_469,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__less__0__iff_0) ).

fof(c_0_470,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__less__add__iff_0) ).

fof(c_0_471,axiom,
    ! [X4,X5] :
      ( c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__le__0__iff_0) ).

fof(c_0_472,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__le__cancel__iff_1) ).

fof(c_0_473,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__less__cancel__iff_1) ).

fof(c_0_474,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X5,X3) ),
    file('<stdin>',cls_real__vector_Oscale__scale_0) ).

fof(c_0_475,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__iff__diff__less__0_1) ).

fof(c_0_476,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__iff__diff__le__0_1) ).

fof(c_0_477,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    file('<stdin>',cls_inverse__le__imp__le__neg_0) ).

fof(c_0_478,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    file('<stdin>',cls_inverse__le__imp__le_0) ).

fof(c_0_479,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    file('<stdin>',cls_inverse__less__imp__less__neg_0) ).

fof(c_0_480,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    file('<stdin>',cls_inverse__less__imp__less_0) ).

fof(c_0_481,axiom,
    ! [X4,X5] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_abs__minus__add__cancel_0) ).

fof(c_0_482,axiom,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_lessequals(X16,X17,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_le__eqI_0) ).

fof(c_0_483,axiom,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X16,X17,X3) ),
    file('<stdin>',cls_le__eqI_1) ).

fof(c_0_484,axiom,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_HOL_Oord__class_Oless(X17,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_less__eqI_0) ).

fof(c_0_485,axiom,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X3) ),
    file('<stdin>',cls_less__eqI_1) ).

fof(c_0_486,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_lessequals(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__monotone__0__pi_H_0) ).

fof(c_0_487,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__monotone__0__pi_0) ).

fof(c_0_488,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    file('<stdin>',cls_le__inf__iff_1) ).

fof(c_0_489,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X4,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    file('<stdin>',cls_le__inf__iff_0) ).

fof(c_0_490,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X1,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) ),
    file('<stdin>',cls_le__infE_1) ).

fof(c_0_491,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X2,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) ),
    file('<stdin>',cls_le__infE_0) ).

fof(c_0_492,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X4,X6,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) ),
    file('<stdin>',cls_le__sup__iff_1) ).

fof(c_0_493,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,X6,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) ),
    file('<stdin>',cls_le__sup__iff_0) ).

fof(c_0_494,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X1,X5,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X5,X3) ),
    file('<stdin>',cls_le__supE_1) ).

fof(c_0_495,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X2,X5,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X5,X3) ),
    file('<stdin>',cls_le__supE_0) ).

fof(c_0_496,axiom,
    ! [X9,X2] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X9,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X9,tc_RealDef_Oreal),
    file('<stdin>',cls_real__divide__square__eq_0) ).

fof(c_0_497,axiom,
    ! [X27,X28,X29] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X29,X28,tc_RealDef_Oreal),X27,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X29,c_HOL_Otimes__class_Otimes(X28,X27,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__mult__assoc_0) ).

fof(c_0_498,axiom,
    ! [X5] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X5),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_sin__cos__squared__add3_0) ).

fof(c_0_499,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X3),X4,X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    file('<stdin>',cls_abs__div__pos_0) ).

fof(c_0_500,axiom,
    ! [X5,X1,X2] :
      ( c_lessequals(X2,X1,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__le__cancel__iff_0) ).

fof(c_0_501,axiom,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__less__cancel_0) ).

fof(c_0_502,axiom,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__less__cancel__iff_0) ).

fof(c_0_503,axiom,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__eq__diff_1) ).

fof(c_0_504,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X4,X3),X5,X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_abs__mult__pos_0) ).

fof(c_0_505,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X2,X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X1,X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__mult__mult1__if_0) ).

fof(c_0_506,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_le__eq__neg_0) ).

fof(c_0_507,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_abs__le__iff_2) ).

fof(c_0_508,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_abs__leI_0) ).

fof(c_0_509,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_abs__less__iff_2) ).

fof(c_0_510,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Otimes__class_Otimes(X5,X6,X3) != c_HOL_Otimes__class_Otimes(X7,X4,X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X3) = c_HOL_Oinverse__class_Odivide(X7,X6,X3) ),
    file('<stdin>',cls_frac__eq__eq_1) ).

fof(c_0_511,axiom,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X3) != c_HOL_Oinverse__class_Odivide(X7,X6,X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Otimes__class_Otimes(X5,X6,X3) = c_HOL_Otimes__class_Otimes(X7,X4,X3) ),
    file('<stdin>',cls_frac__eq__eq_0) ).

fof(c_0_512,axiom,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) != c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_add__nonneg__eq__0__iff_0) ).

fof(c_0_513,axiom,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) != c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_add__nonneg__eq__0__iff_1) ).

fof(c_0_514,axiom,
    ! [X4,X5,X1] :
      ( c_Log_Olog(X1,c_Log_Opowr(X5,X4)) = c_HOL_Otimes__class_Otimes(X4,c_Log_Olog(X1,X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__powr_0) ).

fof(c_0_515,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_le__imp__inverse__le__neg_0) ).

fof(c_0_516,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_le__imp__inverse__le_0) ).

fof(c_0_517,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_less__imp__inverse__less__neg_0) ).

fof(c_0_518,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_less__imp__inverse__less_0) ).

fof(c_0_519,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_one__less__inverse__iff_2) ).

fof(c_0_520,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    file('<stdin>',cls_one__le__inverse__iff_2) ).

fof(c_0_521,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    file('<stdin>',cls_zero__le__divide__1__iff_1) ).

fof(c_0_522,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__le__0__1__iff_1) ).

fof(c_0_523,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_divide__less__0__1__iff_1) ).

fof(c_0_524,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    file('<stdin>',cls_zero__less__divide__1__iff_1) ).

fof(c_0_525,axiom,
    ! [X34,X35] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X35,c_HOL_Ouminus__class_Ouminus(X34,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X34,X35,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__sum__gt__zero_0) ).

fof(c_0_526,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_add__nonneg__eq__0__iff_2) ).

fof(c_0_527,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_real__two__squares__add__zero__iff_2) ).

fof(c_0_528,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3),X3) ),
    file('<stdin>',cls_sup__eq__neg__inf_0) ).

fof(c_0_529,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3),X3) ),
    file('<stdin>',cls_inf__eq__neg__sup_0) ).

fof(c_0_530,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__add__iff_1) ).

fof(c_0_531,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__less__0__iff_1) ).

fof(c_0_532,axiom,
    ! [X5,X9] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_abs__le__interval__iff_2) ).

fof(c_0_533,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__less__add__iff_1) ).

fof(c_0_534,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__le__0__iff_1) ).

fof(c_0_535,axiom,
    ! [X5,X1,X2] :
      ( c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__le__cancel__iff_1) ).

fof(c_0_536,axiom,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__less__mono_0) ).

fof(c_0_537,axiom,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__less__cancel__iff_1) ).

fof(c_0_538,axiom,
    ! [X5,X1,X2] :
      ( c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__mono_0) ).

fof(c_0_539,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) != X4
      | X5 = c_HOL_Ouminus__class_Ouminus(X6,X3) ),
    file('<stdin>',cls_add__cancel__end_0) ).

fof(c_0_540,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__ge__add__one__self__aux_0) ).

fof(c_0_541,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oone__class_Oone(X3),X5,X3)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3) ),
    file('<stdin>',cls_inverse__le__1__iff_0) ).

fof(c_0_542,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X5,X3)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3) ),
    file('<stdin>',cls_inverse__less__1__iff_0) ).

fof(c_0_543,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_1) ).

fof(c_0_544,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('<stdin>',cls_not__real__square__gt__zero_1) ).

fof(c_0_545,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_1) ).

fof(c_0_546,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_not__square__less__zero_0) ).

fof(c_0_547,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_1) ).

fof(c_0_548,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_even__less__0__iff_1) ).

fof(c_0_549,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_1) ).

fof(c_0_550,axiom,
    ! [X4,X5] :
      ( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__squares__cancel__a_1) ).

fof(c_0_551,axiom,
    ! [X4,X5] :
      ( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__squares__cancel__a_0) ).

fof(c_0_552,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Oln(c_Log_Opowr(X5,X4)) = c_HOL_Otimes__class_Otimes(X4,c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__powr_0) ).

fof(c_0_553,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X5 = X4
      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_dist__le__zero__iff_0) ).

fof(c_0_554,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X5,X5,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_zero__less__dist__iff_0) ).

fof(c_0_555,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_dist__not__less__zero_0) ).

fof(c_0_556,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_less__iff__diff__less__0_0) ).

fof(c_0_557,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_le__iff__diff__le__0_0) ).

fof(c_0_558,axiom,
    ! [X5,X2] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X5,X2),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ge__one__powr__ge__zero_0) ).

fof(c_0_559,axiom,
    ! [X4] :
      ( c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X4),c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_lemma__exp__total_1) ).

fof(c_0_560,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__inverse__gt__one_0) ).

fof(c_0_561,axiom,
    ! [X5,X2] :
      ( c_Log_Olog(X2,c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X2,X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__inverse_0) ).

fof(c_0_562,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_lessequals(X1,X5,X3) ),
    file('<stdin>',cls_le__infI2_0) ).

fof(c_0_563,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_lessequals(X2,X5,X3) ),
    file('<stdin>',cls_le__infI1_0) ).

fof(c_0_564,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,X1,X3) ),
    file('<stdin>',cls_less__supI2_0) ).

fof(c_0_565,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,X2,X3) ),
    file('<stdin>',cls_less__supI1_0) ).

fof(c_0_566,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X5,X3) ),
    file('<stdin>',cls_less__infI1_0) ).

fof(c_0_567,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(X1,X5,X3) ),
    file('<stdin>',cls_less__infI2_0) ).

fof(c_0_568,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_lessequals(X5,X1,X3) ),
    file('<stdin>',cls_le__supI2_0) ).

fof(c_0_569,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_lessequals(X5,X2,X3) ),
    file('<stdin>',cls_le__supI1_0) ).

fof(c_0_570,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) ),
    file('<stdin>',cls_norm__minus__commute_0) ).

fof(c_0_571,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) ),
    file('<stdin>',cls_abs__minus__commute_0) ).

fof(c_0_572,axiom,
    ! [X30,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X30,X30,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X30,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I4_J_0) ).

fof(c_0_573,axiom,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_CHAINED_0) ).

fof(c_0_574,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__mult__distrib_0) ).

fof(c_0_575,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__eq__diff_0) ).

fof(c_0_576,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__gt__zero__iff_0) ).

fof(c_0_577,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__gt__zero__imp__gt__one_0) ).

fof(c_0_578,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__less__zero__iff_0) ).

fof(c_0_579,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__ge__zero__iff_0) ).

fof(c_0_580,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__ge__zero__imp__ge__one_0) ).

fof(c_0_581,axiom,
    ! [X4,X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X3),c_Transcendental_Oexp(X4,X3),X3) ),
    file('<stdin>',cls_exp__add_0) ).

fof(c_0_582,axiom,
    ! [X4,X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X3),c_Transcendental_Oexp(X4,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) ),
    file('<stdin>',cls_mult__exp__exp_0) ).

fof(c_0_583,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3) ),
    file('<stdin>',cls_abs__divide_0) ).

fof(c_0_584,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    file('<stdin>',cls_inverse__mult__distrib_0) ).

fof(c_0_585,axiom,
    ! [X4,X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X5,X3),c_Transcendental_Oexp(X4,X3),X3) ),
    file('<stdin>',cls_exp__diff_0) ).

fof(c_0_586,axiom,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__div__algebra(X3)
      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X5,X3),X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_nonzero__inverse__scaleR__distrib_0) ).

fof(c_0_587,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__divide_0) ).

fof(c_0_588,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__gt__zero__iff_1) ).

fof(c_0_589,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__less__zero_0) ).

fof(c_0_590,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__ge__zero__iff_1) ).

fof(c_0_591,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__abs__divide_0) ).

fof(c_0_592,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    file('<stdin>',cls_of__real_Oadd_0) ).

fof(c_0_593,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    file('<stdin>',cls_of__real_Odiff_0) ).

fof(c_0_594,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__field(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    file('<stdin>',cls_of__real__divide_0) ).

fof(c_0_595,axiom,
    ! [X5,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__div__algebra(X3)
      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    file('<stdin>',cls_inverse__scaleR__distrib_0) ).

fof(c_0_596,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__norm__divide_0) ).

fof(c_0_597,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__field(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_nonzero__of__real__divide_0) ).

fof(c_0_598,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X6,X5,X3)
      | ~ c_lessequals(X6,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_599,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X5,X3)
      | ~ c_lessequals(X6,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    file('<stdin>',cls_xt1_I7_J_0) ).

fof(c_0_600,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_xt1_I8_J_0) ).

fof(c_0_601,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X4,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_602,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X6,X3)
      | ~ c_lessequals(X4,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_order__less__le__trans_0) ).

fof(c_0_603,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_order__le__less__trans_0) ).

fof(c_0_604,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_order__less__trans_0) ).

fof(c_0_605,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    file('<stdin>',cls_xt1_I10_J_0) ).

fof(c_0_606,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_minus__add__distrib_0) ).

fof(c_0_607,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_minus__add_0) ).

fof(c_0_608,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X2,X3),c_HOL_Osgn__class_Osgn(X1,X3),X3) ),
    file('<stdin>',cls_sgn__times_0) ).

fof(c_0_609,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X3),c_HOL_Osgn__class_Osgn(X4,X3),X3) ),
    file('<stdin>',cls_sgn__mult_0) ).

fof(c_0_610,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    file('<stdin>',cls_Lim_Ominus__diff__minus_0) ).

fof(c_0_611,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X5,X3),c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    file('<stdin>',cls_compl__inf_0) ).

fof(c_0_612,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_neg__inf__eq__sup_0) ).

fof(c_0_613,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_neg__sup__eq__inf_0) ).

fof(c_0_614,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X5,X3),c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    file('<stdin>',cls_compl__sup_0) ).

fof(c_0_615,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3) ),
    file('<stdin>',cls_abs__mult_0) ).

fof(c_0_616,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X3),c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__mult_0) ).

fof(c_0_617,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_sin__ge__zero_0) ).

fof(c_0_618,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_sin__gt__zero__pi_0) ).

fof(c_0_619,axiom,
    ! [X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X9,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X5,X3),X3) ),
    file('<stdin>',cls_sgn__scaleR_0) ).

fof(c_0_620,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    file('<stdin>',cls_of__real__add_0) ).

fof(c_0_621,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    file('<stdin>',cls_of__real__diff_0) ).

fof(c_0_622,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    file('<stdin>',cls_of__real__mult_0) ).

fof(c_0_623,axiom,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__scaleR_0) ).

fof(c_0_624,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_neg__le__iff__le_0) ).

fof(c_0_625,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_neg__less__iff__less_0) ).

fof(c_0_626,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
    file('<stdin>',cls_inf__left__idem_0) ).

fof(c_0_627,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
    file('<stdin>',cls_inf__sup__aci_I4_J_0) ).

fof(c_0_628,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) ),
    file('<stdin>',cls_inf__sup__aci_I8_J_0) ).

fof(c_0_629,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) ),
    file('<stdin>',cls_sup__left__idem_0) ).

fof(c_0_630,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    file('<stdin>',cls_mod__mod__trivial_0) ).

fof(c_0_631,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    file('<stdin>',cls_mod__add__self2_0) ).

fof(c_0_632,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    file('<stdin>',cls_mod__add__self1_0) ).

fof(c_0_633,axiom,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X5,X4,X3) ),
    file('<stdin>',cls_mult__left__idem_0) ).

fof(c_0_634,axiom,
    ! [X5,X1,X2] : c_Log_Opowr(X5,c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal),
    file('<stdin>',cls_powr__add_0) ).

fof(c_0_635,axiom,
    ! [X5,X1,X2] : c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal) = c_Log_Opowr(X5,c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal)),
    file('<stdin>',cls_powr__divide2_0) ).

fof(c_0_636,axiom,
    ! [X5,X2] :
      ( c_Log_Opowr(X2,c_Log_Olog(X2,X5)) = X5
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__log__cancel_0) ).

fof(c_0_637,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3),X3) = X1 ),
    file('<stdin>',cls_add__minus__cancel_0) ).

fof(c_0_638,axiom,
    ! [X31,X47,X48] :
      ( c_lessequals(X48,X31,tc_RealDef_Oreal)
      | ~ c_lessequals(X47,X31,tc_RealDef_Oreal)
      | ~ c_lessequals(X48,X47,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__trans_0) ).

fof(c_0_639,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_minus__divide__right_0) ).

fof(c_0_640,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_le__minus__iff_0) ).

fof(c_0_641,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_le__minus__iff_1) ).

fof(c_0_642,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    file('<stdin>',cls_minus__le__iff_0) ).

fof(c_0_643,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) ),
    file('<stdin>',cls_minus__le__iff_1) ).

fof(c_0_644,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_less__minus__iff_0) ).

fof(c_0_645,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_less__minus__iff_1) ).

fof(c_0_646,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    file('<stdin>',cls_minus__less__iff_0) ).

fof(c_0_647,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) ),
    file('<stdin>',cls_minus__less__iff_1) ).

fof(c_0_648,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    file('<stdin>',cls_abs__less__iff_1) ).

fof(c_0_649,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    file('<stdin>',cls_abs__le__D2_0) ).

fof(c_0_650,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__minus__divide__right_0) ).

fof(c_0_651,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    file('<stdin>',cls_one__less__inverse__iff_0) ).

fof(c_0_652,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_inverse__negative__iff__negative_0) ).

fof(c_0_653,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    file('<stdin>',cls_one__le__inverse__iff_1) ).

fof(c_0_654,axiom,
    ! [X5] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_abs__add__one__gt__zero_0) ).

fof(c_0_655,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    file('<stdin>',cls_inverse__nonnegative__iff__nonnegative_0) ).

fof(c_0_656,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    file('<stdin>',cls_inverse__positive__iff__positive_0) ).

fof(c_0_657,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_inverse__nonpositive__iff__nonpositive_0) ).

fof(c_0_658,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    file('<stdin>',cls_one__le__inverse__iff_0) ).

fof(c_0_659,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    file('<stdin>',cls_one__less__inverse__iff_1) ).

fof(c_0_660,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    file('<stdin>',cls_inverse__positive__imp__positive_0) ).

fof(c_0_661,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_inverse__negative__imp__negative_0) ).

fof(c_0_662,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__less__cancel_0) ).

fof(c_0_663,axiom,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__le__cancel__iff_0) ).

fof(c_0_664,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X3),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3) ),
    file('<stdin>',cls_divide_Ominus_0) ).

fof(c_0_665,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) ),
    file('<stdin>',cls_scaleR_Ominus__right_0) ).

fof(c_0_666,axiom,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) ),
    file('<stdin>',cls_scaleR__minus__right_0) ).

fof(c_0_667,axiom,
    ! [X19,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X19,X5,X3),X3) ),
    file('<stdin>',cls_mult__right_Ominus_0) ).

fof(c_0_668,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_mult_Ominus__right_0) ).

fof(c_0_669,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X3),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    file('<stdin>',cls_mult__left_Ominus_0) ).

fof(c_0_670,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    file('<stdin>',cls_mult_Ominus__left_0) ).

fof(c_0_671,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    file('<stdin>',cls_minus__divide__left_0) ).

fof(c_0_672,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    file('<stdin>',cls_minus__mult__left_0) ).

fof(c_0_673,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_minus__mult__right_0) ).

fof(c_0_674,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) ),
    file('<stdin>',cls_scaleR_Ominus__left_0) ).

fof(c_0_675,axiom,
    ! [X19,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X19,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X5,X19,X3),X3) ),
    file('<stdin>',cls_scaleR__left_Ominus_0) ).

fof(c_0_676,axiom,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X5,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) ),
    file('<stdin>',cls_scaleR__minus__left_0) ).

fof(c_0_677,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_neg__0__less__iff__less_0) ).

fof(c_0_678,axiom,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sup__eq__if_0) ).

fof(c_0_679,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_neg__0__le__iff__le_0) ).

fof(c_0_680,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__less_0) ).

fof(c_0_681,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__less__0__iff__less_0) ).

fof(c_0_682,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__greater_0) ).

fof(c_0_683,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__le__0__iff__le_0) ).

fof(c_0_684,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_less__le__not__le_2) ).

fof(c_0_685,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_le__imp__neg__le_0) ).

fof(c_0_686,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_neg__less__iff__less_1) ).

fof(c_0_687,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3) ),
    file('<stdin>',cls_zero__less__two_0) ).

fof(c_0_688,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X5,X3) ),
    file('<stdin>',cls_inverse__less__1__iff_2) ).

fof(c_0_689,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_inverse__le__1__iff_1) ).

fof(c_0_690,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_inverse__negative__iff__negative_1) ).

fof(c_0_691,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X5,X3) ),
    file('<stdin>',cls_inverse__le__1__iff_2) ).

fof(c_0_692,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_inverse__nonnegative__iff__nonnegative_1) ).

fof(c_0_693,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_inverse__positive__iff__positive_1) ).

fof(c_0_694,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_inverse__nonpositive__iff__nonpositive_1) ).

fof(c_0_695,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_inverse__less__1__iff_1) ).

fof(c_0_696,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | c_HOL_Otimes__class_Otimes(X2,X2,X3) != c_HOL_Otimes__class_Otimes(X1,X1,X3)
      | X2 = c_HOL_Ouminus__class_Ouminus(X1,X3)
      | X2 = X1 ),
    file('<stdin>',cls_square__eq__iff_0) ).

fof(c_0_697,axiom,
    ! [X5,X9] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
    file('<stdin>',cls_abs__le__interval__iff_0) ).

fof(c_0_698,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3) = X1 ),
    file('<stdin>',cls_minus__add__cancel_0) ).

fof(c_0_699,axiom,
    ! [X6,X4,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X3),c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = X4 ),
    file('<stdin>',cls_add__cancel__end_1) ).

fof(c_0_700,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_less__minus__self__iff_0) ).

fof(c_0_701,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) ),
    file('<stdin>',cls_neg__less__eq__nonneg_0) ).

fof(c_0_702,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_less__eq__neg__nonpos_0) ).

fof(c_0_703,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) ),
    file('<stdin>',cls_minus__le__self__iff_0) ).

fof(c_0_704,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_le__minus__self__iff_0) ).

fof(c_0_705,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Oln(X5) != c_Transcendental_Oln(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = X4 ),
    file('<stdin>',cls_ln__inj__iff_0) ).

fof(c_0_706,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X8,X3),X8,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__eq__eq_4) ).

fof(c_0_707,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Ozero__class_Ozero(X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X8,X3),X8,X3) ),
    file('<stdin>',cls_eq__divide__eq_4) ).

fof(c_0_708,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__0__less__iff__less_1) ).

fof(c_0_709,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_negative__imp__inverse__negative_0) ).

fof(c_0_710,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_positive__imp__inverse__positive_0) ).

fof(c_0_711,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__0__le__iff__le_1) ).

fof(c_0_712,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__less_1) ).

fof(c_0_713,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_neg__less__0__iff__less_1) ).

fof(c_0_714,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Osgn__class_Osgn(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__greater_1) ).

fof(c_0_715,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_neg__le__0__iff__le_1) ).

fof(c_0_716,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3) ),
    file('<stdin>',cls_inverse__divide_0) ).

fof(c_0_717,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    file('<stdin>',cls_abs__less__iff_0) ).

fof(c_0_718,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    file('<stdin>',cls_abs__le__D1_0) ).

fof(c_0_719,axiom,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) != c_HOL_Oplus__class_Oplus(X5,X6,X3)
      | X4 = X6 ),
    file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).

fof(c_0_720,axiom,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,X5,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    file('<stdin>',cls_scaleR__cancel__right_0) ).

fof(c_0_721,axiom,
    ! [X5] : c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_exp__ge__add__one__self_0) ).

fof(c_0_722,axiom,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,X5,X3) != c_RealVector_OscaleR__class_OscaleR(X2,X4,X3)
      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X4 ),
    file('<stdin>',cls_scaleR__cancel__left_0) ).

fof(c_0_723,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__minus__self__iff_1) ).

fof(c_0_724,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_neg__less__eq__nonneg_1) ).

fof(c_0_725,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__eq__neg__nonpos_1) ).

fof(c_0_726,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_minus__le__self__iff_1) ).

fof(c_0_727,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__minus__self__iff_1) ).

fof(c_0_728,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__less__mono_0) ).

fof(c_0_729,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__le__cancel__iff_1) ).

fof(c_0_730,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Odist__norm(X3)
      | c_RealVector_Odist__class_Odist(X5,X4,X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) ),
    file('<stdin>',cls_dist__norm_0) ).

fof(c_0_731,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    file('<stdin>',cls_minus__diff__eq_0) ).

fof(c_0_732,axiom,
    ! [X8,X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X8,X3) = X1
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_eq__divide__eq_0) ).

fof(c_0_733,axiom,
    ! [X8,X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | X1 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X8,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__eq__eq_0) ).

fof(c_0_734,axiom,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3) = X2
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__eq__eq_3) ).

fof(c_0_735,axiom,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_eq__divide__eq_3) ).

fof(c_0_736,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | ~ c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_737,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | ~ c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_738,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_739,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_one__less__exp__iff_0) ).

fof(c_0_740,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_one__le__exp__iff_0) ).

fof(c_0_741,axiom,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__le__one__iff_0) ).

fof(c_0_742,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__less__one__iff_0) ).

fof(c_0_743,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X3) ),
    file('<stdin>',cls_less__add__one_0) ).

fof(c_0_744,axiom,
    ! [X4,X19,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X19,X4,X3) != c_HOL_Ominus__class_Ominus(X5,X5,X3)
      | X19 = X4 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_745,axiom,
    ! [X16,X17,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | X17 = X16 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_746,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Oplus__class_Oplus(X8,X2,X3)
      | X1 = X8 ),
    file('<stdin>',cls_add__right__cancel_0) ).

fof(c_0_747,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Oplus__class_Oplus(X2,X8,X3)
      | X1 = X8 ),
    file('<stdin>',cls_add__left__cancel_0) ).

fof(c_0_748,axiom,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Oplus__class_Oplus(X2,X8,X3)
      | X1 = X8 ),
    file('<stdin>',cls_add__imp__eq_0) ).

fof(c_0_749,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    file('<stdin>',cls_xt1_I9_J_0) ).

fof(c_0_750,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).

fof(c_0_751,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_order__less__asym_0) ).

fof(c_0_752,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    file('<stdin>',cls_order__less__asym_H_0) ).

fof(c_0_753,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    file('<stdin>',cls_linorder__not__le_1) ).

fof(c_0_754,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_linorder__not__less_1) ).

fof(c_0_755,axiom,
    ! [X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X5,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_1) ).

fof(c_0_756,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X4,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_less__le__not__le_1) ).

fof(c_0_757,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3) ),
    file('<stdin>',cls_minus__divide__divide_0) ).

fof(c_0_758,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X2,X3),X3) ),
    file('<stdin>',cls_zero__le__square_0) ).

fof(c_0_759,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = X2
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__mult__self1__is__id_0) ).

fof(c_0_760,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X1,X3),X1,X3) = X2
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__mult__self2__is__id_0) ).

fof(c_0_761,axiom,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3) = X2 ),
    file('<stdin>',cls_divide__eq__imp_0) ).

fof(c_0_762,axiom,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3) ),
    file('<stdin>',cls_eq__divide__imp_0) ).

fof(c_0_763,axiom,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
    file('<stdin>',cls_CHAINED_0_04) ).

fof(c_0_764,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__minus__divide__divide_0) ).

fof(c_0_765,axiom,
    ! [X5,X9] :
      ( c_lessequals(X5,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
    file('<stdin>',cls_abs__le__interval__iff_1) ).

fof(c_0_766,axiom,
    ! [X4,X5] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__mult_0) ).

fof(c_0_767,axiom,
    ! [X4,X5] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__divide_0) ).

fof(c_0_768,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mod__mult__self2__is__0_0) ).

fof(c_0_769,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mod__mult__self1__is__0_0) ).

fof(c_0_770,axiom,
    ! [X8,X1,X2] :
      ( c_HOL_Otimes__class_Otimes(X8,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X8,X1,tc_RealDef_Oreal)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X2 = X1 ),
    file('<stdin>',cls_real__mult__left__cancel_0) ).

fof(c_0_771,axiom,
    ! [X8,X1,X2] :
      ( c_HOL_Otimes__class_Otimes(X2,X8,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X8,tc_RealDef_Oreal)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X2 = X1 ),
    file('<stdin>',cls_real__mult__right__cancel_0) ).

fof(c_0_772,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X2,X1,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mod__div__trivial_0) ).

fof(c_0_773,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X5,X4,X3),tc_RealDef_Oreal)
      | X5 = X4 ),
    file('<stdin>',cls_zero__less__dist__iff_1) ).

fof(c_0_774,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X5,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_dist__le__zero__iff_1) ).

fof(c_0_775,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X5,X4,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_zero__le__dist_0) ).

fof(c_0_776,axiom,
    ! [X6,X7] :
      ( X6 = X7
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__antisym_0) ).

fof(c_0_777,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = X5 ),
    file('<stdin>',cls_sup__inf__absorb_0) ).

fof(c_0_778,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X1,X3) = X2 ),
    file('<stdin>',cls_add__diff__cancel_0) ).

fof(c_0_779,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,X3),X1,X3) = X2 ),
    file('<stdin>',cls_diff__add__cancel_0) ).

fof(c_0_780,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = X5 ),
    file('<stdin>',cls_inf__sup__absorb_0) ).

fof(c_0_781,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    file('<stdin>',cls_sup__ge2_0) ).

fof(c_0_782,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    file('<stdin>',cls_sup__ge1_0) ).

fof(c_0_783,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I4_J_0) ).

fof(c_0_784,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I3_J_0) ).

fof(c_0_785,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X4,X3) ),
    file('<stdin>',cls_inf__le2_0) ).

fof(c_0_786,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X5,X3) ),
    file('<stdin>',cls_inf__le1_0) ).

fof(c_0_787,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X4,X3) ),
    file('<stdin>',cls_inf__sup__ord_I2_J_0) ).

fof(c_0_788,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X5,X3) ),
    file('<stdin>',cls_inf__sup__ord_I1_J_0) ).

fof(c_0_789,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_minus__mult__commute_0) ).

fof(c_0_790,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Otimes__class_Otimes(X2,X2,X3) ),
    file('<stdin>',cls_abs__mult__self_0) ).

fof(c_0_791,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3) ),
    file('<stdin>',cls_minus__mult__minus_0) ).

fof(c_0_792,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X1,X3) ),
    file('<stdin>',cls_square__eq__iff_1) ).

fof(c_0_793,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__gt__one_0) ).

fof(c_0_794,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_one__le__exp__iff_1) ).

fof(c_0_795,axiom,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__le__one__iff_1) ).

fof(c_0_796,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__less__one__iff_1) ).

fof(c_0_797,axiom,
    ! [X5] :
      ( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X5),X5,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_sqrt__divide__self__eq_0) ).

fof(c_0_798,axiom,
    ! [X4] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__arg__i__mult__zero__pos_0) ).

fof(c_0_799,axiom,
    ! [X4] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__arg__i__mult__zero__neg_0) ).

fof(c_0_800,axiom,
    ! [X5] :
      ( X5 = 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(X5,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_not__real__square__gt__zero_0) ).

fof(c_0_801,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X3),X3),X3) ),
    file('<stdin>',cls_zero__less__abs__iff_0) ).

fof(c_0_802,axiom,
    ! [X5,X1,X2] : c_Log_Opowr(c_Log_Opowr(X5,X2),X1) = c_Log_Opowr(X5,c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)),
    file('<stdin>',cls_powr__powr_0) ).

fof(c_0_803,axiom,
    ! [X6,X5] : X5 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X5,X6,tc_RealDef_Oreal),X6,tc_RealDef_Oreal),
    file('<stdin>',cls_eq__diff__eq_H_1) ).

fof(c_0_804,axiom,
    ! [X6,X4] : X4 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,X6,tc_RealDef_Oreal),X6,tc_RealDef_Oreal),
    file('<stdin>',cls_eq__diff__eq_H_0) ).

fof(c_0_805,axiom,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = X2
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sup__eq__if_1) ).

fof(c_0_806,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__less__iff_0) ).

fof(c_0_807,axiom,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__iff_0) ).

fof(c_0_808,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X3),X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_zero__less__norm__iff_0) ).

fof(c_0_809,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__1__iff_0) ).

fof(c_0_810,axiom,
    ! [X4] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__1__iff_0) ).

fof(c_0_811,axiom,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__0__iff_0) ).

fof(c_0_812,axiom,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__1__iff_0) ).

fof(c_0_813,axiom,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__0__iff_0) ).

fof(c_0_814,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__0__iff_0) ).

fof(c_0_815,axiom,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__1__iff_0) ).

fof(c_0_816,axiom,
    ! [X4] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__0__iff_0) ).

fof(c_0_817,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__gt__zero_0) ).

fof(c_0_818,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__ge__zero_0) ).

fof(c_0_819,axiom,
    ! [X4] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_lemma__exp__total_0) ).

fof(c_0_820,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__1__iff_1) ).

fof(c_0_821,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__one_0) ).

fof(c_0_822,axiom,
    ! [X4] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__1__iff_1) ).

fof(c_0_823,axiom,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__0__iff_1) ).

fof(c_0_824,axiom,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__1__iff_1) ).

fof(c_0_825,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__zero_0) ).

fof(c_0_826,axiom,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__0__iff_1) ).

fof(c_0_827,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__0__iff_1) ).

fof(c_0_828,axiom,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__1__iff_1) ).

fof(c_0_829,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__zero_0) ).

fof(c_0_830,axiom,
    ! [X4] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__0__iff_1) ).

fof(c_0_831,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | X2 = X1
      | ~ c_lessequals(X1,X2,X3) ),
    file('<stdin>',cls_xt1_I11_J_0) ).

fof(c_0_832,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_lessequals(X1,X2,X3)
      | X2 = X1 ),
    file('<stdin>',cls_xt1_I12_J_0) ).

fof(c_0_833,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_0) ).

fof(c_0_834,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | ~ c_lessequals(X5,X4,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_0) ).

fof(c_0_835,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(X2,X1,X3)
      | X2 = X1 ),
    file('<stdin>',cls_order__neq__le__trans_0) ).

fof(c_0_836,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | X2 = X1
      | ~ c_lessequals(X2,X1,X3) ),
    file('<stdin>',cls_order__le__neq__trans_0) ).

fof(c_0_837,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_order__le__less_0) ).

fof(c_0_838,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | X5 = X4
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_order__less__le_2) ).

fof(c_0_839,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Osgn__div__norm(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal),X5,X3) ),
    file('<stdin>',cls_sgn__div__norm_0) ).

fof(c_0_840,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) != X4
      | c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_le__iff__sup_1) ).

fof(c_0_841,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) != X5
      | c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_le__iff__inf_1) ).

fof(c_0_842,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__less__iff_1) ).

fof(c_0_843,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_arctan__monotone_0) ).

fof(c_0_844,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__iff_1) ).

fof(c_0_845,axiom,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_arctan__monotone_H_0) ).

fof(c_0_846,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X3) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(X4,X3),X3) ),
    file('<stdin>',cls_class__fieldgb_Odivide__inverse_0) ).

fof(c_0_847,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = X5
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_sup__absorb1_0) ).

fof(c_0_848,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = X4
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_le__iff__sup_0) ).

fof(c_0_849,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = X5
      | ~ c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_le__iff__inf_0) ).

fof(c_0_850,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = X4
      | ~ c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_inf__absorb2_0) ).

fof(c_0_851,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__le__zero__iff_0) ).

fof(c_0_852,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_order__less__imp__le_0) ).

fof(c_0_853,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_order__le__less_1) ).

fof(c_0_854,axiom,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__bound_0) ).

fof(c_0_855,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__less__self_0) ).

fof(c_0_856,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__minus__le__zero_0) ).

fof(c_0_857,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inf__0__imp__0_0) ).

fof(c_0_858,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sup__0__imp__0_0) ).

fof(c_0_859,axiom,
    ! [X5] : c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('<stdin>',cls_complex__mod__minus__le__complex__mod_0) ).

fof(c_0_860,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__not__less__zero_0) ).

fof(c_0_861,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,X2) = c_Transcendental_Oexp(c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_powr__def_0) ).

fof(c_0_862,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X1,X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    file('<stdin>',cls_divide__inverse_0) ).

fof(c_0_863,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    file('<stdin>',cls_diff__minus__eq__add_0) ).

fof(c_0_864,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    file('<stdin>',cls_diff__eq_0) ).

fof(c_0_865,axiom,
    ! [X5,X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_OscaleR__class_OscaleR(X9,X5,X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X9,X3),X5,X3) ),
    file('<stdin>',cls_scaleR__conv__of__real_0) ).

fof(c_0_866,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_ab__diff__minus_0) ).

fof(c_0_867,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_diff__minus_0) ).

fof(c_0_868,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    file('<stdin>',cls_class__ring_Osub__add_0) ).

fof(c_0_869,axiom,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    file('<stdin>',cls_diff__def_0) ).

fof(c_0_870,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__le__zero__iff_0) ).

fof(c_0_871,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | X5 = X4
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__def_2) ).

fof(c_0_872,axiom,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if__lattice_0) ).

fof(c_0_873,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sgn__neg_0) ).

fof(c_0_874,axiom,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__def_0) ).

fof(c_0_875,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__not__less__zero_0) ).

fof(c_0_876,axiom,
    ! [X5] :
      ( c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__inverse_0) ).

fof(c_0_877,axiom,
    ! [X4,X2] :
      ( c_Log_Olog(X2,c_Log_Opowr(X2,X4)) = X4
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__powr__cancel_0) ).

fof(c_0_878,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__of__nonpos_0) ).

fof(c_0_879,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if_0) ).

fof(c_0_880,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__of__neg_0) ).

fof(c_0_881,axiom,
    ! [X35,X46] : c_HOL_Oinverse__class_Odivide(X46,X35,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X46,c_HOL_Oinverse__class_Oinverse(X35,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__divide__def_0) ).

fof(c_0_882,axiom,
    ! [X21,X9] : c_HOL_Ominus__class_Ominus(X9,X21,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Ouminus__class_Ouminus(X21,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__diff__def_0) ).

fof(c_0_883,axiom,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_scaleR__cancel__right_1) ).

fof(c_0_884,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3),X3) ),
    file('<stdin>',cls_abs__prts_0) ).

fof(c_0_885,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Osgn__if(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) = c_HOL_Oone__class_Oone(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sgn__if_1) ).

fof(c_0_886,axiom,
    ! [X5,X2] :
      ( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X2 ),
    file('<stdin>',cls_real__add__minus__iff_0) ).

fof(c_0_887,axiom,
    ! [X5] : ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_not__exp__le__zero_0) ).

fof(c_0_888,axiom,
    ! [X5] : ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_not__exp__less__zero_0) ).

fof(c_0_889,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__periodic__pi_0) ).

fof(c_0_890,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__periodic__pi2_0) ).

fof(c_0_891,axiom,
    ! [X5] : c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_cos__periodic__pi_0) ).

fof(c_0_892,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__periodic__pi__diff_0) ).

fof(c_0_893,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,X3) ),
    file('<stdin>',cls_scaleR__cancel__left_1) ).

fof(c_0_894,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sgn__1__neg_0) ).

fof(c_0_895,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) = c_HOL_Oone__class_Oone(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_sgn__pos_0) ).

fof(c_0_896,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__zero__iff__zero__pprt_0) ).

fof(c_0_897,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_zero__le__iff__zero__nprt_0) ).

fof(c_0_898,axiom,
    ! [X5] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__abs2_0) ).

fof(c_0_899,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | X5 = X4 ),
    file('<stdin>',cls_linorder__neqE_0) ).

fof(c_0_900,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_linorder__less__linear_0) ).

fof(c_0_901,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    file('<stdin>',cls_linorder__antisym__conv3_0) ).

fof(c_0_902,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).

fof(c_0_903,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | X5 = X4 ),
    file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).

fof(c_0_904,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X5,X2),tc_RealDef_Oreal),
    file('<stdin>',cls_powr__minus__divide_0) ).

fof(c_0_905,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) = X2
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_zero__le__iff__nprt__id_0) ).

fof(c_0_906,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) = X2
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_le__zero__iff__pprt__id_0) ).

fof(c_0_907,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_abs__of__pos_0) ).

fof(c_0_908,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_abs__of__nonneg_0) ).

fof(c_0_909,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X4,X5,X3)
      | c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_910,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_lessequals(X5,X4,X3) ),
    file('<stdin>',cls_linorder__not__le_0) ).

fof(c_0_911,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    file('<stdin>',cls_linorder__not__less_0) ).

fof(c_0_912,axiom,
    ! [X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X5,X5,X3)
      | c_lessequals(X5,X5,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_1) ).

fof(c_0_913,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | c_lessequals(X4,X5,X3) ),
    file('<stdin>',cls_not__leE_0) ).

fof(c_0_914,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X3) ),
    file('<stdin>',cls_inf__sup__aci_I5_J_0) ).

fof(c_0_915,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X3) ),
    file('<stdin>',cls_sup__commute_0) ).

fof(c_0_916,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3) ),
    file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).

fof(c_0_917,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) = c_HOL_Oplus__class_Oplus(X4,X5,X3) ),
    file('<stdin>',cls_class__semiring_Oadd__c_0) ).

fof(c_0_918,axiom,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,X8,X3) = c_HOL_Oplus__class_Oplus(X8,X2,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).

fof(c_0_919,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
    file('<stdin>',cls_inf__sup__aci_I1_J_0) ).

fof(c_0_920,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
    file('<stdin>',cls_inf__commute_0) ).

fof(c_0_921,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_RealVector_Odist__class_Odist(X5,X4,X3) = c_RealVector_Odist__class_Odist(X4,X5,X3) ),
    file('<stdin>',cls_dist__commute_0) ).

fof(c_0_922,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I7_J_0) ).

fof(c_0_923,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X5,X4,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3) ),
    file('<stdin>',cls_class__semiring_Omul__c_0) ).

fof(c_0_924,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ouminus__class_Ouminus(X1,X3) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_1) ).

fof(c_0_925,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) = X1 ),
    file('<stdin>',cls_minus__unique_0) ).

fof(c_0_926,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X3),c_HOL_Oabs__class_Oabs(X5,X3),X3) = X5 ),
    file('<stdin>',cls_mult__sgn__abs_0) ).

fof(c_0_927,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Oone__class_Oone(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) = X1 ),
    file('<stdin>',cls_inverse__unique_0) ).

fof(c_0_928,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | X2 = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3),X3) ),
    file('<stdin>',cls_prts_0) ).

fof(c_0_929,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    file('<stdin>',cls_abs__ge__minus__self_0) ).

fof(c_0_930,axiom,
    ! [X5,X3] :
      ( ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ouminus__class_Ouminus(X5,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3),X5,X3) ),
    file('<stdin>',cls_class__ring_Oneg__mul_0) ).

fof(c_0_931,axiom,
    ! [X9] :
      ( c_HOL_Oabs__class_Oabs(X9,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__abs__def_0) ).

fof(c_0_932,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_real__mult__is__one_2) ).

fof(c_0_933,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_not__one__less__zero_0) ).

fof(c_0_934,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_not__one__le__zero_0) ).

fof(c_0_935,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_no__zero__divirors__neq0_0) ).

fof(c_0_936,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_no__zero__divisors_0) ).

fof(c_0_937,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_0) ).

fof(c_0_938,axiom,
    ! [X2] :
      ( c_Log_Olog(X2,X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_log__eq__one_0) ).

fof(c_0_939,axiom,
    ! [X5] : c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X5),
    file('<stdin>',cls_tan__periodic__pi_0) ).

fof(c_0_940,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = X4 ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).

fof(c_0_941,axiom,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,X5,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__eq__0__iff_0) ).

fof(c_0_942,axiom,
    ! [X5] :
      ( c_Transcendental_Oexp(c_Transcendental_Oln(X5),tc_RealDef_Oreal) = X5
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__ln_0) ).

fof(c_0_943,axiom,
    ! [X4] :
      ( c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X4),tc_RealDef_Oreal) = X4
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_lemma__exp__total_2) ).

fof(c_0_944,axiom,
    ! [X5] :
      ( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__is__one_0) ).

fof(c_0_945,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Osgn__if(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sgn__if_2) ).

fof(c_0_946,axiom,
    ! [X5] :
      ( c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sgn__def_1) ).

fof(c_0_947,axiom,
    ! [X5,X2,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X5 != c_HOL_Oplus__class_Oplus(X5,X2,X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).

fof(c_0_948,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X1,X3) != c_HOL_Oone__class_Oone(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    file('<stdin>',cls_right__inverse__eq_0) ).

fof(c_0_949,axiom,
    ! [X5] :
      ( c_Log_Opowr(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X5
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__one__gt__zero__iff_1) ).

fof(c_0_950,axiom,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | c_lessequals(X6,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__linear_0) ).

fof(c_0_951,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__le__zero__iff_1) ).

fof(c_0_952,axiom,
    ! [X6,X7] : c_HOL_Otimes__class_Otimes(X6,X7,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),
    file('<stdin>',cls_real__mult__commute_0) ).

fof(c_0_953,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_double__eq__0__iff_0) ).

fof(c_0_954,axiom,
    ! [X5] :
      ( c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sgn__pos_0) ).

fof(c_0_955,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__eq__zero__iff_1) ).

fof(c_0_956,axiom,
    ! [X5] :
      ( c_Transcendental_Oln(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_ln__eq__zero__iff_0) ).

fof(c_0_957,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__eq__zero__cancel_0) ).

fof(c_0_958,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__le__zero__iff_1) ).

fof(c_0_959,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    file('<stdin>',cls_right__minus__eq_0) ).

fof(c_0_960,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    file('<stdin>',cls_eq__iff__diff__eq__0_1) ).

fof(c_0_961,axiom,
    ! [X31,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oabs__class_Oabs(X31,X3) = c_HOL_Otimes__class_Otimes(X31,c_HOL_Osgn__class_Osgn(X31,X3),X3) ),
    file('<stdin>',cls_abs__sgn_0) ).

fof(c_0_962,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_abs__lattice_0) ).

fof(c_0_963,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X4 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__eq__0__iff_0) ).

fof(c_0_964,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oabs__class_Oabs(X2,X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_zero__less__abs__iff_1) ).

fof(c_0_965,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__not__eq__zero_0) ).

fof(c_0_966,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_RealVector_Odist__class_Odist(X5,X4,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X4 ),
    file('<stdin>',cls_dist__eq__0__iff_0) ).

fof(c_0_967,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_field__inverse_0) ).

fof(c_0_968,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_left__inverse_0) ).

fof(c_0_969,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_right__inverse_0) ).

fof(c_0_970,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) != c_HOL_Oone__class_Oone(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_sgn__1__pos_0) ).

fof(c_0_971,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__zero__iff__zero__pprt_1) ).

fof(c_0_972,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_zero__le__iff__zero__nprt_1) ).

fof(c_0_973,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_zero__less__norm__iff_1) ).

fof(c_0_974,axiom,
    ! [X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X5,X3),X3) ),
    file('<stdin>',cls_exp__minus_0) ).

fof(c_0_975,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    file('<stdin>',cls_abs__inverse_0) ).

fof(c_0_976,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    file('<stdin>',cls_inverse__minus__eq_0) ).

fof(c_0_977,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    file('<stdin>',cls_abs__ge__zero_0) ).

fof(c_0_978,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_nprt__le__zero_0) ).

fof(c_0_979,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3),X3) ),
    file('<stdin>',cls_zero__le__pprt_0) ).

fof(c_0_980,axiom,
    ! [X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    file('<stdin>',cls_order__less__irrefl_0) ).

fof(c_0_981,axiom,
    ! [X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    file('<stdin>',cls_order__less__le_1) ).

fof(c_0_982,axiom,
    ! [X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    file('<stdin>',cls_linorder__neq__iff_1) ).

fof(c_0_983,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__inverse_0) ).

fof(c_0_984,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__minus__eq_0) ).

fof(c_0_985,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__abs__inverse_0) ).

fof(c_0_986,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) != X2
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_zero__le__iff__nprt__id_1) ).

fof(c_0_987,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) != X2
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    file('<stdin>',cls_le__zero__iff__pprt__id_1) ).

fof(c_0_988,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_left__minus_0) ).

fof(c_0_989,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_right__minus_0) ).

fof(c_0_990,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_ab__left__minus_0) ).

fof(c_0_991,axiom,
    ! [X1,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_0) ).

fof(c_0_992,axiom,
    ! [X5] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X5),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_abs__sin__le__one_0) ).

fof(c_0_993,axiom,
    ! [X5] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X5),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_abs__cos__le__one_0) ).

fof(c_0_994,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X3),X3) ),
    file('<stdin>',cls_of__real_Ominus_0) ).

fof(c_0_995,axiom,
    ! [X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_RealVector_Oof__real(X5,X3),X3) = c_RealVector_Oof__real(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),X3) ),
    file('<stdin>',cls_exp__of__real_0) ).

fof(c_0_996,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__div__algebra(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X5,X3),X3) ),
    file('<stdin>',cls_of__real__inverse_0) ).

fof(c_0_997,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__norm__inverse_0) ).

fof(c_0_998,axiom,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if__lattice_1) ).

fof(c_0_999,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__ge__zero_0) ).

fof(c_0_1000,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(X5,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X5,X3) ),
    file('<stdin>',cls_class__fieldgb_Oinverse__divide_0) ).

fof(c_0_1001,axiom,
    ! [X5] :
      ( c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sgn__def_2) ).

fof(c_0_1002,axiom,
    ! [X5] : c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_real__sgn__eq_0) ).

fof(c_0_1003,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__div__algebra(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X5,X3),X3)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_nonzero__of__real__inverse_0) ).

fof(c_0_1004,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X2,c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    file('<stdin>',cls_abs__ge__self_0) ).

fof(c_0_1005,axiom,
    ! [X5] :
      ( c_Transcendental_Oexp(c_Transcendental_Oln(X5),tc_RealDef_Oreal) != X5
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__ln__iff_0) ).

fof(c_0_1006,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X2,X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__eq__divide_0) ).

fof(c_0_1007,axiom,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3) ),
    file('<stdin>',cls_nprt__neg_0) ).

fof(c_0_1008,axiom,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3) ),
    file('<stdin>',cls_pprt__neg_0) ).

fof(c_0_1009,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X5,X3),X3) ),
    file('<stdin>',cls_sgn__minus_0) ).

fof(c_0_1010,axiom,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_pi__not__less__zero_0) ).

fof(c_0_1011,axiom,
    ! [X5,X3] : ~ c_Ring__and__Field_Ozero__neq__one(X5,X5,X3),
    file('<stdin>',cls_zero__neq__one_Oone__neq__zero_0) ).

fof(c_0_1012,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__self__if_0) ).

fof(c_0_1013,axiom,
    ! [X5] :
      ( c_Log_Opowr(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X5
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_powr__one__gt__zero__iff_0) ).

fof(c_0_1014,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X9,X3),X3) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X9,tc_RealDef_Oreal),X3) ),
    file('<stdin>',cls_sgn__of__real_0) ).

fof(c_0_1015,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X3),X3) ),
    file('<stdin>',cls_of__real__minus_0) ).

fof(c_0_1016,axiom,
    ! [X5] : ~ c_HOL_Oord__class_Oless(X5,X5,tc_RealDef_Oreal),
    file('<stdin>',cls_real__less__def_1) ).

fof(c_0_1017,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if_1) ).

fof(c_0_1018,axiom,
    ! [X5] :
      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__inverse__left_0) ).

fof(c_0_1019,axiom,
    ! [X4,X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X5,X4),tc_RealDef_Oreal),
    file('<stdin>',cls_powr__ge__pzero_0) ).

fof(c_0_1020,axiom,
    ! [X5,X2] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X5,X2),tc_RealDef_Oreal),
    file('<stdin>',cls_powr__gt__zero_0) ).

fof(c_0_1021,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X2,X3) ),
    file('<stdin>',cls_inverse__eq__divide_0) ).

fof(c_0_1022,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ),
    file('<stdin>',cls_group__add__class_Odiff__0_0) ).

fof(c_0_1023,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(X9,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Oone__class_Oone(X3),X3) ),
    file('<stdin>',cls_of__real__def_0) ).

fof(c_0_1024,axiom,
    ! [X4] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__arg__i__mult__zero_0) ).

fof(c_0_1025,axiom,
    ! [X5,X1,X2] : c_Log_Opowr(c_Log_Opowr(X5,X2),X1) = c_Log_Opowr(c_Log_Opowr(X5,X1),X2),
    file('<stdin>',cls_powr__powr__swap_0) ).

fof(c_0_1026,axiom,
    ! [X5] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_exp__gt__zero_0) ).

fof(c_0_1027,axiom,
    ! [X5,X2] : c_Log_Olog(X2,X5) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X5),c_Transcendental_Oln(X2),tc_RealDef_Oreal),
    file('<stdin>',cls_Log_Olog__def_0) ).

fof(c_0_1028,axiom,
    ! [X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_exp__ge__zero_0) ).

fof(c_0_1029,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__zero_0) ).

fof(c_0_1030,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__eq__eq_1) ).

fof(c_0_1031,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Ozero__class_Ozero(X3) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_eq__divide__eq_2) ).

fof(c_0_1032,axiom,
    ! [X5] : c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_real__add__eq__0__iff_1) ).

fof(c_0_1033,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__self__if_1) ).

fof(c_0_1034,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_double__eq__0__iff_1) ).

fof(c_0_1035,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).

fof(c_0_1036,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(X5,X2),tc_RealDef_Oreal),
    file('<stdin>',cls_powr__minus_0) ).

fof(c_0_1037,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_zero__neq__one__class_Oaxioms_0) ).

fof(c_0_1038,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oone__class_Oone(X3),X3) ),
    file('<stdin>',cls_zero__le__one_0) ).

fof(c_0_1039,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oone__class_Oone(X3),X3) ),
    file('<stdin>',cls_zero__less__one_0) ).

fof(c_0_1040,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).

fof(c_0_1041,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mod__by__1_0) ).

fof(c_0_1042,axiom,
    ! [X4,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X3),X4,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide_Ozero_0) ).

fof(c_0_1043,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__zero__left_0) ).

fof(c_0_1044,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR__eq__0__iff_2) ).

fof(c_0_1045,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR_Ozero__right_0) ).

fof(c_0_1046,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mod__0_0) ).

fof(c_0_1047,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__0_0) ).

fof(c_0_1048,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__by__0_0) ).

fof(c_0_1049,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I9_J_0) ).

fof(c_0_1050,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I10_J_0) ).

fof(c_0_1051,axiom,
    ! [X4,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X4,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__left_Ozero_0) ).

fof(c_0_1052,axiom,
    ! [X1,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult_Ozero__left_0) ).

fof(c_0_1053,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult_Ozero__right_0) ).

fof(c_0_1054,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__right_Ozero_0) ).

fof(c_0_1055,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Omul__0_0) ).

fof(c_0_1056,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__zero__left_0) ).

fof(c_0_1057,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__zero__right_0) ).

fof(c_0_1058,axiom,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_1) ).

fof(c_0_1059,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_2) ).

fof(c_0_1060,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_divide__self_0) ).

fof(c_0_1061,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X5,X3) = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_right__inverse__eq_1) ).

fof(c_0_1062,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(X2,X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_div__self_0) ).

fof(c_0_1063,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) = c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    file('<stdin>',cls_nprt__def__raw_0) ).

fof(c_0_1064,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    file('<stdin>',cls_pprt__def__raw_0) ).

fof(c_0_1065,axiom,
    ! [X9] :
      ( c_HOL_Oabs__class_Oabs(X9,tc_RealDef_Oreal) = X9
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__abs__def_1) ).

fof(c_0_1066,axiom,
    ! [X5] : c_Transcendental_Otan(X5) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X5),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_tan__def_0) ).

fof(c_0_1067,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR__eq__0__iff_1) ).

fof(c_0_1068,axiom,
    ! [X1,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR_Ozero__left_0) ).

fof(c_0_1069,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    file('<stdin>',cls_div__by__1_0) ).

fof(c_0_1070,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X2,X3) = X2 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I11_J_0) ).

fof(c_0_1071,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I12_J_0) ).

fof(c_0_1072,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X5,X3) = X5 ),
    file('<stdin>',cls_class__semiring_Omul__1_0) ).

fof(c_0_1073,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X2,X3) = X2 ),
    file('<stdin>',cls_mult__1_0) ).

fof(c_0_1074,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__mult(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X2,X3) = X2 ),
    file('<stdin>',cls_mult__1__left_0) ).

fof(c_0_1075,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__mult(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    file('<stdin>',cls_mult__1__right_0) ).

fof(c_0_1076,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    file('<stdin>',cls_divide__1_0) ).

fof(c_0_1077,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = X2 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).

fof(c_0_1078,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).

fof(c_0_1079,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = X2 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).

fof(c_0_1080,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X5,X3) = X5 ),
    file('<stdin>',cls_class__semiring_Oadd__0_0) ).

fof(c_0_1081,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).

fof(c_0_1082,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = X2 ),
    file('<stdin>',cls_add__0__left_0) ).

fof(c_0_1083,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).

fof(c_0_1084,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    file('<stdin>',cls_diff__0__right_0) ).

fof(c_0_1085,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    file('<stdin>',cls_mod__by__0_0) ).

fof(c_0_1086,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,X3) = X5 ),
    file('<stdin>',cls_real__vector_Oscale__one_0) ).

fof(c_0_1087,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_diff__self_0) ).

fof(c_0_1088,axiom,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_right__minus__eq_1) ).

fof(c_0_1089,axiom,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_eq__iff__diff__eq__0_0) ).

fof(c_0_1090,axiom,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mod__self_0) ).

fof(c_0_1091,axiom,
    ! [X2] : c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X2)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_cmod__unit__one_0) ).

fof(c_0_1092,axiom,
    ! [X5] :
      ( c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X5),X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__mult__inverse__left__ex_0) ).

fof(c_0_1093,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Oinverse__class_Oinverse(X1,X3)
      | X2 = X1
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__eq__imp__eq_0) ).

fof(c_0_1094,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_RealVector_Odist__class_Odist(X5,X5,X3) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_dist__self_0) ).

fof(c_0_1095,axiom,
    ! [X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X5,X3) = X5 ),
    file('<stdin>',cls_inf__idem_0) ).

fof(c_0_1096,axiom,
    ! [X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X5,X3) = X5 ),
    file('<stdin>',cls_sup__idem_0) ).

fof(c_0_1097,axiom,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | c_HOL_Otimes__class_Otimes(X5,X5,X3) = X5 ),
    file('<stdin>',cls_mult__idem_0) ).

fof(c_0_1098,axiom,
    ! [X5] : c_lessequals(c_Transcendental_Osin(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__le__one_0) ).

fof(c_0_1099,axiom,
    ! [X5] : c_lessequals(c_Transcendental_Ocos(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('<stdin>',cls_cos__le__one_0) ).

fof(c_0_1100,axiom,
    ! [X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X5,X5,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_1101,axiom,
    ! [X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X5,X5,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_1102,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3),X3) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__sgn_0) ).

fof(c_0_1103,axiom,
    c_Transcendental_Otan(v_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(v_x),c_Transcendental_Ocos(v_x),tc_RealDef_Oreal),
    file('<stdin>',cls_tan__def__raw_0) ).

fof(c_0_1104,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_real__mult__is__one_1) ).

fof(c_0_1105,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_RealVector_Onorm__class_Onorm(X5,X3) ),
    file('<stdin>',cls_norm__minus__cancel_0) ).

fof(c_0_1106,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(X2,X3) ),
    file('<stdin>',cls_abs__idempotent_0) ).

fof(c_0_1107,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oabs__class_Oabs(X2,X3) ),
    file('<stdin>',cls_abs__minus__cancel_0) ).

fof(c_0_1108,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(X2,X3) ),
    file('<stdin>',cls_sgn__sgn_0) ).

fof(c_0_1109,axiom,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Oinverse__class_Oinverse(X1,X3)
      | X2 = X1 ),
    file('<stdin>',cls_inverse__eq__iff__eq_0) ).

fof(c_0_1110,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X9,X3),X3) = c_HOL_Oabs__class_Oabs(X9,tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__of__real_0) ).

fof(c_0_1111,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X2,X3) ),
    file('<stdin>',cls_abs__norm__cancel_0) ).

fof(c_0_1112,axiom,
    ! [X6] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) = X6,
    file('<stdin>',cls_real__mult__1_0) ).

fof(c_0_1113,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = X2 ),
    file('<stdin>',cls_inverse__inverse__eq_0) ).

fof(c_0_1114,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X5,X3),X3) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_norm__sgn_1) ).

fof(c_0_1115,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    file('<stdin>',cls_CHAINED_0_01) ).

fof(c_0_1116,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    file('<stdin>',cls_0_0) ).

fof(c_0_1117,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    file('<stdin>',cls_pi__gt__zero_0) ).

fof(c_0_1118,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    file('<stdin>',cls_pi__ge__zero_0) ).

fof(c_0_1119,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal),
    file('<stdin>',cls_cos__is__zero_0) ).

fof(c_0_1120,axiom,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(X5,X3) != c_RealVector_Oof__real(X4,X3)
      | X5 = X4 ),
    file('<stdin>',cls_of__real__eq__iff_0) ).

fof(c_0_1121,axiom,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) != c_HOL_Ouminus__class_Ouminus(X1,X3)
      | X2 = X1 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_1122,axiom,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(X5,X3) != c_HOL_Ouminus__class_Ouminus(X4,X3)
      | X5 = X4 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_1123,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = X2
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__inverse__eq_0) ).

fof(c_0_1124,axiom,
    ! [X7] : c_lessequals(X7,X7,tc_RealDef_Oreal),
    file('<stdin>',cls_real__le__refl_0) ).

fof(c_0_1125,axiom,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(X5,X3) != c_HOL_Oone__class_Oone(X3)
      | X5 = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_inverse__eq__1__iff_0) ).

fof(c_0_1126,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_0) ).

fof(c_0_1127,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = X2 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_1128,axiom,
    ! [X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = X5 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_1129,axiom,
    ! [X1,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_1130,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_1131,axiom,
    ! [X1,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = X1 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_1132,axiom,
    ! [X5] : c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X5,tc_RealDef_Oreal),
    file('<stdin>',cls_abs__exp__cancel_0) ).

fof(c_0_1133,axiom,
    ! [X5] : c_Transcendental_Oln(X5) = c_Log_Olog(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X5),
    file('<stdin>',cls_log__ln_0) ).

fof(c_0_1134,axiom,
    ! [X11,X12,X13,X14] :
      ( c_Complex_Ocomplex_OComplex(X14,X12) != c_Complex_Ocomplex_OComplex(X13,X11)
      | X14 = X13 ),
    file('<stdin>',cls_complex_Oinject_0) ).

fof(c_0_1135,axiom,
    ! [X11,X12,X13,X14] :
      ( c_Complex_Ocomplex_OComplex(X14,X12) != c_Complex_Ocomplex_OComplex(X13,X11)
      | X12 = X11 ),
    file('<stdin>',cls_complex_Oinject_1) ).

fof(c_0_1136,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_sin__minus_0) ).

fof(c_0_1137,axiom,
    ! [X5] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__inverse_0) ).

fof(c_0_1138,axiom,
    ! [X5] : c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__minus_0) ).

fof(c_0_1139,axiom,
    ! [X5] : c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_arctan__minus_0) ).

fof(c_0_1140,axiom,
    ! [X5] : c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X5),tc_RealDef_Oreal),
    file('<stdin>',cls_tan__minus_0) ).

fof(c_0_1141,axiom,
    ! [X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(X5,X3) != c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_exp__not__eq__zero_0) ).

fof(c_0_1142,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Oexp(X5,tc_RealDef_Oreal) != c_Transcendental_Oexp(X4,tc_RealDef_Oreal)
      | X5 = X4 ),
    file('<stdin>',cls_exp__inj__iff_0) ).

fof(c_0_1143,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sgn__zero__iff_0) ).

fof(c_0_1144,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sgn__0__0_0) ).

fof(c_0_1145,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
      | c_HOL_Ozero__class_Ozero(X3) = X2 ),
    file('<stdin>',cls_neg__0__equal__iff__equal_0) ).

fof(c_0_1146,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__0__iff__equal_0) ).

fof(c_0_1147,axiom,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__zero__imp__zero_0) ).

fof(c_0_1148,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_abs__eq__0_0) ).

fof(c_0_1149,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(X5,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real__eq__0__iff_0) ).

fof(c_0_1150,axiom,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(X5,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_norm__eq__zero_0) ).

fof(c_0_1151,axiom,
    ! [X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_exp__zero_0) ).

fof(c_0_1152,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_inverse__eq__1__iff_1) ).

fof(c_0_1153,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_1) ).

fof(c_0_1154,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) != X2
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_0) ).

fof(c_0_1155,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__real_Ozero_0) ).

fof(c_0_1156,axiom,
    ! [X5] :
      ( c_Transcendental_Osin(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X5),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_sin__zero__abs__cos__one_0) ).

fof(c_0_1157,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_sgn__one_0) ).

fof(c_0_1158,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_abs__one_0) ).

fof(c_0_1159,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_inverse__1_0) ).

fof(c_0_1160,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_abs__eq__0_1) ).

fof(c_0_1161,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_pprt__0_0) ).

fof(c_0_1162,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nprt__0_0) ).

fof(c_0_1163,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__zero_0) ).

fof(c_0_1164,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sgn__zero_0) ).

fof(c_0_1165,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Osgn__if(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sgn0_0) ).

fof(c_0_1166,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sgn__0__0_1) ).

fof(c_0_1167,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__0__equal__iff__equal_1) ).

fof(c_0_1168,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_minus__zero_0) ).

fof(c_0_1169,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_1) ).

fof(c_0_1170,axiom,
    ! [X5] : c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X5),
    file('<stdin>',cls_cos__minus_0) ).

fof(c_0_1171,axiom,
    ! [X2] : c_Complex_Ocis(X2) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X2)),
    file('<stdin>',cls_cis__def_0) ).

fof(c_0_1172,axiom,
    ! [X1,X2] :
      ( c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_Complex__eq__1_1) ).

fof(c_0_1173,axiom,
    ! [X1,X2] :
      ( c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_Complex__eq__1_0) ).

fof(c_0_1174,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__one_0) ).

fof(c_0_1175,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__zero_0) ).

fof(c_0_1176,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3) = c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_of__real__1_0) ).

fof(c_0_1177,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__real__0_0) ).

fof(c_0_1178,axiom,
    ! [X5] : c_Transcendental_Oln(c_Transcendental_Oexp(X5,tc_RealDef_Oreal)) = X5,
    file('<stdin>',cls_ln__exp_0) ).

fof(c_0_1179,axiom,
    ! [X36] : c_Transcendental_Oln(c_Transcendental_Oexp(X36,tc_RealDef_Oreal)) = X36,
    file('<stdin>',cls_exp__ln__eq_0) ).

fof(c_0_1180,axiom,
    ! [X4] : c_Transcendental_Oln(c_Transcendental_Oexp(X4,tc_RealDef_Oreal)) = X4,
    file('<stdin>',cls_ln__unique_0) ).

fof(c_0_1181,axiom,
    ! [X5] :
      ( c_Transcendental_Oexp(X5,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__eq__one__iff_0) ).

fof(c_0_1182,axiom,
    ! [X4,X5] :
      ( c_Complex_Ocomplex_OComplex(X5,X4) != c_Complex_Oii
      | X4 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_Complex__eq__i_1) ).

fof(c_0_1183,axiom,
    ! [X4,X5] :
      ( c_Complex_Ocomplex_OComplex(X5,X4) != c_Complex_Oii
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_Complex__eq__i_0) ).

fof(c_0_1184,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_powr__not__zero_0) ).

fof(c_0_1185,axiom,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    file('<stdin>',cls_complex__one__def_0) ).

fof(c_0_1186,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('<stdin>',cls_Complex__eq__1_2) ).

fof(c_0_1187,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    file('<stdin>',cls_Complex__eq__i_2) ).

fof(c_0_1188,axiom,
    c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
    file('<stdin>',cls_i__def_0) ).

fof(c_0_1189,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | c_HOL_Oone__class_Oone(X3) != c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_one__neq__zero_0) ).

fof(c_0_1190,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | c_HOL_Ozero__class_Ozero(X3) != c_HOL_Oone__class_Oone(X3) ),
    file('<stdin>',cls_zero__neq__one_0) ).

fof(c_0_1191,axiom,
    ! [X5] : c_Transcendental_Ocos(c_Transcendental_Oarctan(X5)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_cos__arctan__not__zero_0) ).

fof(c_0_1192,axiom,
    ! [X2] : c_Log_Olog(X2,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_log__one_0) ).

fof(c_0_1193,axiom,
    ! [X5] : c_Log_Opowr(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_powr__zero__eq__one_0) ).

fof(c_0_1194,axiom,
    ! [X2] : c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_powr__one__eq__one_0) ).

fof(c_0_1195,axiom,
    c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_exp__eq__one__iff_1) ).

fof(c_0_1196,axiom,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_INVERSE__ZERO_0) ).

fof(c_0_1197,axiom,
    c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_real__sgn__def_0) ).

fof(c_0_1198,axiom,
    ! [X5] :
      ( c_Transcendental_Ocos(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | c_Transcendental_Osin(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__one__sin__zero_0) ).

fof(c_0_1199,axiom,
    ! [X4,X5] :
      ( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X4)
      | X5 = X4 ),
    file('<stdin>',cls_real__sqrt__eq__iff_0) ).

fof(c_0_1200,axiom,
    ! [X5,X3] : c_Fun_Oid(X5,X3) = X5,
    file('<stdin>',cls_id__apply_0) ).

fof(c_0_1201,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__eq__1__iff_0) ).

fof(c_0_1202,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__eq__0__iff_0) ).

fof(c_0_1203,axiom,
    c_Fun_Oid(v_x,t_a) = v_x,
    file('<stdin>',cls_id__def_0) ).

fof(c_0_1204,axiom,
    ! [X4] : c_Transcendental_Otan(c_Transcendental_Oarctan(X4)) = X4,
    file('<stdin>',cls_arctan_2) ).

fof(c_0_1205,axiom,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_sin__zero_0) ).

fof(c_0_1206,axiom,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_cos__zero_0) ).

fof(c_0_1207,axiom,
    c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_ln__one_0) ).

fof(c_0_1208,axiom,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__one_0) ).

fof(c_0_1209,axiom,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_arctan__zero__zero_0) ).

fof(c_0_1210,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_real__sqrt__zero_0) ).

fof(c_0_1211,axiom,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_tan__zero_0) ).

fof(c_0_1212,axiom,
    c_Complex_Ocis(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('<stdin>',cls_cis__zero_0) ).

fof(c_0_1213,axiom,
    ( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | v_x != c_Transcendental_Opi ),
    file('<stdin>',cls_CHAINED_0_03) ).

fof(c_0_1214,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_real__zero__not__eq__one_0) ).

fof(c_0_1215,axiom,
    c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_sin__pi_0) ).

fof(c_0_1216,axiom,
    c_Transcendental_Ocos(c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_cos__is__zero_2) ).

fof(c_0_1217,axiom,
    c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_tan__pi_0) ).

fof(c_0_1218,axiom,
    c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_pi__neq__zero_0) ).

fof(c_0_1219,axiom,
    c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('<stdin>',cls_complex__i__not__one_0) ).

fof(c_0_1220,axiom,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__SEQ_Obanach) ).

fof(c_0_1221,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).

fof(c_0_1222,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).

fof(c_0_1223,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Oring) ).

fof(c_0_1224,axiom,
    class_RealVector_Odist__norm(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Odist__norm) ).

fof(c_0_1225,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).

fof(c_0_1226,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__field) ).

fof(c_0_1227,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).

fof(c_0_1228,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__vector) ).

fof(c_0_1229,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).

fof(c_0_1230,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Ometric__space) ).

fof(c_0_1231,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__algebra) ).

fof(c_0_1232,axiom,
    class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Osgn__div__norm) ).

fof(c_0_1233,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) ).

fof(c_0_1234,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

fof(c_0_1235,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) ).

fof(c_0_1236,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).

fof(c_0_1237,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1) ).

fof(c_0_1238,axiom,
    class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__div__algebra) ).

fof(c_0_1239,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).

fof(c_0_1240,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).

fof(c_0_1241,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).

fof(c_0_1242,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) ).

fof(c_0_1243,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).

fof(c_0_1244,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) ).

fof(c_0_1245,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).

fof(c_0_1246,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

fof(c_0_1247,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).

fof(c_0_1248,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).

fof(c_0_1249,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

fof(c_0_1250,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).

fof(c_0_1251,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) ).

fof(c_0_1252,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).

fof(c_0_1253,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) ).

fof(c_0_1254,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).

fof(c_0_1255,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) ).

fof(c_0_1256,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    file('<stdin>',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).

fof(c_0_1257,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__SEQ_Obanach) ).

fof(c_0_1258,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Int_Onumber__ring) ).

fof(c_0_1259,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Orderings_Oorder) ).

fof(c_0_1260,axiom,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Lattices_Olattice) ).

fof(c_0_1261,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

fof(c_0_1262,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Orderings_Opreorder) ).

fof(c_0_1263,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oidom) ).

fof(c_0_1264,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oring) ).

fof(c_0_1265,axiom,
    class_RealVector_Odist__norm(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Odist__norm) ).

fof(c_0_1266,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).

fof(c_0_1267,axiom,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__field) ).

fof(c_0_1268,axiom,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if) ).

fof(c_0_1269,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if) ).

fof(c_0_1270,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).

fof(c_0_1271,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__vector) ).

fof(c_0_1272,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).

fof(c_0_1273,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Ometric__space) ).

fof(c_0_1274,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__algebra) ).

fof(c_0_1275,axiom,
    class_RealVector_Osgn__div__norm(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Osgn__div__norm) ).

fof(c_0_1276,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) ).

fof(c_0_1277,axiom,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Lattices_Odistrib__lattice) ).

fof(c_0_1278,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).

fof(c_0_1279,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono) ).

fof(c_0_1280,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).

fof(c_0_1281,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).

fof(c_0_1282,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1) ).

fof(c_0_1283,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1) ).

fof(c_0_1284,axiom,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Lattices_Olower__semilattice) ).

fof(c_0_1285,axiom,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Lattices_Oupper__semilattice) ).

fof(c_0_1286,axiom,
    class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__div__algebra) ).

fof(c_0_1287,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).

fof(c_0_1288,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one) ).

fof(c_0_1289,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).

fof(c_0_1290,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) ).

fof(c_0_1291,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) ).

fof(c_0_1292,axiom,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring) ).

fof(c_0_1293,axiom,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring) ).

fof(c_0_1294,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).

fof(c_0_1295,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring) ).

fof(c_0_1296,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) ).

fof(c_0_1297,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) ).

fof(c_0_1298,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).

fof(c_0_1299,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) ).

fof(c_0_1300,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).

fof(c_0_1301,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).

fof(c_0_1302,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).

fof(c_0_1303,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).

fof(c_0_1304,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) ).

fof(c_0_1305,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring) ).

fof(c_0_1306,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) ).

fof(c_0_1307,axiom,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs) ).

fof(c_0_1308,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring) ).

fof(c_0_1309,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) ).

fof(c_0_1310,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) ).

fof(c_0_1311,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).

fof(c_0_1312,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).

fof(c_0_1313,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).

fof(c_0_1314,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) ).

fof(c_0_1315,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) ).

fof(c_0_1316,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).

fof(c_0_1317,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add) ).

fof(c_0_1318,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs) ).

fof(c_0_1319,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).

fof(c_0_1320,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).

fof(c_0_1321,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict) ).

fof(c_0_1322,axiom,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join) ).

fof(c_0_1323,axiom,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet) ).

fof(c_0_1324,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring) ).

fof(c_0_1325,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict) ).

fof(c_0_1326,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

fof(c_0_1327,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    file('<stdin>',clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

fof(c_0_1328,plain,
    ! [X39,X40,X1,X41,X42,X2,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X39,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X39,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X40,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X40,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,X39,X3)
      | ~ c_lessequals(X40,X1,X3)
      | ~ c_lessequals(X2,X41,X3)
      | ~ c_lessequals(X42,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_1329,plain,
    ! [X39,X40,X1,X41,X42,X2,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X39,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X39,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X41,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X40,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X42,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X40,X3),X3),X3),X3)
      | ~ c_lessequals(X1,X39,X3)
      | ~ c_lessequals(X40,X1,X3)
      | ~ c_lessequals(X2,X41,X3)
      | ~ c_lessequals(X42,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_1330,axiom,
    ! [X37,X1,X2] : c_HOL_Ominus__class_Ominus(hAPP(X37,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X37,X1),hAPP(X37,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X37,X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X37,X1),hAPP(X37,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_2 ).

fof(c_0_1331,axiom,
    ! [X4,X5,X30,X32] : c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X32,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X30,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X32,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X30,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_3 ).

fof(c_0_1332,plain,
    ! [X4,X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X4,X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X3),c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X3),X1,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_1333,plain,
    ! [X4,X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X5,X4,X3),c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X5,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X5,X2,tc_RealDef_Oreal),X1,X3),X3),c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_1334,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X8,X15,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X8,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X15,X3),X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_1335,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X8,X15,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X8,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X15,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_1336,plain,
    ! [X10,X15,X8,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X8,X15,X3),X3),X10,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X15,X3),X10,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X8,X3),X10,X3),X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_1337,plain,
    ! [X10,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),X10,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X1,X3),X10,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_1338,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_1339,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_1340,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_1341,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_1342,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_1343,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_1344,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X15,X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_1345,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(X8,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_1346,plain,
    ! [X5] :
      ( c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_1347,plain,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_1348,axiom,
    ! [X4,X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    c_0_20 ).

fof(c_0_1349,axiom,
    ! [X4,X5] : c_lessequals(X5,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    c_0_21 ).

fof(c_0_1350,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_1351,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_1352,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_1353,plain,
    ! [X33,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_1354,plain,
    ! [X33,X15,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_1355,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_1356,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Oinverse__class_Odivide(X7,X6,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X7,X4,X3),X3),c_HOL_Otimes__class_Otimes(X4,X6,X3),X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_1357,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Oinverse__class_Odivide(X7,X6,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X7,X4,X3),X3),c_HOL_Otimes__class_Otimes(X4,X6,X3),X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_1358,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_1359,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_1360,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_1361,plain,
    ! [X4,X44,X5,X36] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X36,c_HOL_Oinverse__class_Oinverse(X44,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X44,X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X44,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_1362,plain,
    ! [X4,X44,X5,X36] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X44,tc_RealDef_Oreal),X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X44,X4,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X44,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_1363,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_1364,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_1365,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3)
      | X8 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X33,X3),X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_1366,plain,
    ! [X33,X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),X8,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X15,X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,X3),X33,X3),X8,X3) = X15 ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_1367,plain,
    ! [X33,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Osemiring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X33,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X33,X3),X8,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X33,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_1368,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X4,X3),c_HOL_Otimes__class_Otimes(X5,X6,X3),X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X6,X3),c_HOL_Otimes__class_Otimes(X5,X4,X3),X3)
      | X4 = X6
      | X7 = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_1369,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X15,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | X8 = X15
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_1370,plain,
    ! [X5,X38,X36] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X5,X36,tc_RealDef_Oreal),X5,tc_RealDef_Oreal),tc_RealDef_Oreal),X38,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X36,tc_RealDef_Oreal),X38,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_1371,plain,
    ! [X5,X9,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X2,X3),X3),X9,X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X2,X9,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X9,X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_1372,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_1373,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_1374,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_1375,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_1376,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_1377,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_1378,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_1379,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_1380,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_52 ).

fof(c_0_1381,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X8,X3),c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_1382,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X8,X3),c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_1383,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X8,X3),c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_1384,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_1385,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_1386,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_1387,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_1388,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_1389,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_1390,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_1391,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X8,X2,X3),c_HOL_Oinverse__class_Odivide(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_1392,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_1393,plain,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X2,X5,X3),c_RealVector_Odist__class_Odist(X2,X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_1394,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X5,X6,X3),c_RealVector_Odist__class_Odist(X4,X6,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_1395,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X6,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X5,X4,X3),c_RealVector_Odist__class_Odist(X4,X6,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_1396,plain,
    ! [X8,X18,X1,X20,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(X1,X8,X3) != c_Divides_Odiv__class_Omod(X18,X8,X3)
      | c_Divides_Odiv__class_Omod(X2,X8,X3) != c_Divides_Odiv__class_Omod(X20,X8,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X20,X18,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_1397,plain,
    ! [X8,X18,X1,X20,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X1,X8,X3) != c_Divides_Odiv__class_Omod(X18,X8,X3)
      | c_Divides_Odiv__class_Omod(X2,X8,X3) != c_Divides_Odiv__class_Omod(X20,X8,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X20,X18,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_1398,plain,
    ! [X8,X18,X1,X20,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X1,X8,X3) != c_Divides_Odiv__class_Omod(X18,X8,X3)
      | c_Divides_Odiv__class_Omod(X2,X8,X3) != c_Divides_Odiv__class_Omod(X20,X8,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X20,X18,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_1399,plain,
    ! [X4,X5,X21,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),c_HOL_Otimes__class_Otimes(X9,X21,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X3),X21,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X3),X9,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_1400,plain,
    ! [X4,X5,X21,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3),c_HOL_Oplus__class_Oplus(X9,X21,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X3),X21,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X3),X9,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_1401,plain,
    ! [X22,X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X24,c_HOL_Otimes__class_Otimes(X23,X22,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_1402,plain,
    ! [X22,X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(X23,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),X22,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_1403,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_1404,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_1405,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X6,X3),c_HOL_Oinverse__class_Odivide(X4,X7,X3),X3)
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X7,X3)
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_1406,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X3),c_HOL_Oinverse__class_Odivide(X4,X7,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X7,X3)
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_1407,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_1408,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_1409,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_1410,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X3),c_HOL_Oinverse__class_Odivide(X4,X7,X3),X3)
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X7,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_1411,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X15,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_1412,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),c_HOL_Otimes__class_Otimes(X8,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X15,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_1413,plain,
    ! [X5,X9,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X2,X9,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X2,X3),X3),X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_1414,plain,
    ! [X5,X9,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X9,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X2,X3),X3),X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_1415,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_1416,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_1417,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_1418,axiom,
    ! [X4,X5] :
      ( c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_90 ).

fof(c_0_1419,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_1420,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_1421,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_1422,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_1423,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_1424,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_1425,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_1426,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_1427,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_1428,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_1429,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_1430,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_1431,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_1432,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_1433,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_1434,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_1435,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_1436,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_1437,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X1,X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_1438,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_1439,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_1440,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_1441,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_1442,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_1443,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_1444,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_1445,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_117 ).

fof(c_0_1446,axiom,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_118 ).

fof(c_0_1447,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_1448,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_1449,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_1450,axiom,
    ! [X4,X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_122 ).

fof(c_0_1451,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oplus__class_Oplus(X6,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3),X4,X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_1452,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3),X4,X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_1453,plain,
    ! [X6,X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_1454,plain,
    ! [X6,X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_1455,plain,
    ! [X6,X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_1456,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_1457,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_1458,plain,
    ! [X5,X15,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X8,X3),c_HOL_Otimes__class_Otimes(X5,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X15,X3),c_HOL_Otimes__class_Otimes(X5,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_1459,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X3),c_HOL_Otimes__class_Otimes(X5,X6,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_1460,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Oinverse__class_Odivide(X6,X7,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X3),c_HOL_Otimes__class_Otimes(X4,X7,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_1461,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X8,X3),X3),X1,X3) = c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_1462,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X8,X1,X3),X3),X1,X3) = c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_1463,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_1464,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_1465,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_1466,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_1467,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_1468,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_1469,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_1470,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_1471,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ominus__class_Ominus(X8,X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_1472,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_1473,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_1474,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X8,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_1475,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_1476,plain,
    ! [X22,X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X23,X3),c_HOL_Otimes__class_Otimes(X24,X22,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_1477,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X8,X3),X1,X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_1478,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X1,X8,X3),X3),X8,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_1479,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_1480,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_1481,plain,
    ! [X5,X9,X15,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X9,X8,X3),X3) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X9,X15,X3),X3)
      | X8 = X15
      | X9 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_1482,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_1483,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_1484,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_1485,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_1486,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_1487,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_1488,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_1489,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_1490,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3)
      | ~ c_lessequals(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_1491,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(X6,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X4,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_1492,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X4,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_1493,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Otimes__class_Otimes(X6,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_1494,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_1495,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_1496,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_1497,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_1498,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_1499,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X3),c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_1500,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_1501,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_1502,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X3),c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_1503,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_1504,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X4),X4,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_1505,plain,
    ! [X5,X1,X2] :
      ( c_Log_Olog(X2,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal),c_Log_Olog(X1,X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_1506,plain,
    ! [X4,X5,X2] :
      ( c_Log_Olog(X2,c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_1507,plain,
    ! [X4,X5,X2] :
      ( c_Log_Olog(X2,c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_1508,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X1,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_1509,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_1510,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_1511,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | X2 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_1512,plain,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_1513,plain,
    ! [X4,X5,X2] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_1514,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_1515,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_1516,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_1517,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_1518,plain,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_1519,plain,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_1520,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X8,c_HOL_Oabs__class_Oabs(X1,X3),X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_1521,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X5),c_Transcendental_Otan(X4),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_193 ).

fof(c_0_1522,plain,
    ! [X4,X5,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X3),c_HOL_Otimes__class_Otimes(X8,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_1523,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),c_HOL_Oinverse__class_Odivide(X2,X8,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_1524,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_1525,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_1526,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_1527,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_1528,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_1529,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_1530,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_1531,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_1532,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_1533,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_1534,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_1535,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_1536,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_1537,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_1538,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_1539,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_1540,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_1541,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_1542,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_1543,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_1544,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Omult__mono1(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_1545,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X5,X3),X5,X3)
      | ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_1546,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X3),X5,X3)
      | ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_1547,plain,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_1548,plain,
    ! [X4,X5,X2] :
      ( c_lessequals(c_Log_Olog(X2,X5),c_Log_Olog(X2,X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_1549,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_1550,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_1551,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_1552,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_1553,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_1554,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_1555,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_1556,plain,
    ! [X15,X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X15,X3),X3)
      | ~ c_lessequals(X8,X15,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_1557,plain,
    ! [X4,X5,X8] :
      ( X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,c_HOL_Oabs__class_Oabs(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_1558,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_1559,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X3),c_HOL_Otimes__class_Otimes(X4,X4,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_1560,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X1,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_1561,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) = c_HOL_Otimes__class_Otimes(X8,c_Divides_Odiv__class_Omod(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_1562,plain,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X4,X3),X26,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X26,X3),c_HOL_Oinverse__class_Odivide(X4,X26,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_1563,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_1564,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X8,X1,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_1565,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X8,X3),X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_1566,plain,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Oplus__class_Oplus(X1,X18,X3),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X2,X18,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_1567,plain,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X2,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_1568,plain,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X4,X3),X26,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X26,X3),c_HOL_Otimes__class_Otimes(X4,X26,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_1569,plain,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X20,X3),X1,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X20,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_1570,plain,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X1,X18,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X2,X18,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_1571,plain,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X19,X5,X3),c_HOL_Otimes__class_Otimes(X19,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_1572,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X8,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_1573,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X8,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_1574,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X8,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_1575,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X8,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_1576,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_1577,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_1578,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X8,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_1579,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X3)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X8,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_1580,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_1581,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X5,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3),c_Lattices_Olower__semilattice__class_Oinf(X6,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_1582,plain,
    ! [X30,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X30,X3),c_HOL_Otimes__class_Otimes(X1,X30,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X30,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_1583,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_1584,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X3),c_HOL_Otimes__class_Otimes(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_1585,plain,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X20,X3),X1,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X20,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_1586,plain,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X4,X3),X26,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X26,X3),c_HOL_Otimes__class_Otimes(X4,X26,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_1587,plain,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X1,X18,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Otimes__class_Otimes(X2,X18,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_1588,plain,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X5,X3),c_HOL_Otimes__class_Otimes(X19,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_1589,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_1590,plain,
    ! [X26,X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X4,X3),X26,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X26,X3),c_HOL_Oinverse__class_Odivide(X4,X26,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_1591,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X1,X3),X8,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X8,X3),c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_1592,plain,
    ! [X18,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X1,X18,X3),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X2,X18,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_1593,plain,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X2,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_1594,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X5,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X3),c_Lattices_Oupper__semilattice__class_Osup(X6,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_1595,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_1596,plain,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X2,X20,tc_RealDef_Oreal),X1,X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X20,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_1597,plain,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),X19,X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X5,X19,X3),c_RealVector_OscaleR__class_OscaleR(X4,X19,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_1598,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),X5,X3) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_1599,plain,
    ! [X1,X20,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X2,X20,tc_RealDef_Oreal),X1,X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),c_RealVector_OscaleR__class_OscaleR(X20,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_1600,plain,
    ! [X4,X19,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),X19,X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X5,X19,X3),c_RealVector_OscaleR__class_OscaleR(X4,X19,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_1601,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),X5,X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_1602,plain,
    ! [X6,X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_1603,plain,
    ! [X6,X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_1604,plain,
    ! [X6,X4,X5] :
      ( c_lessequals(c_HOL_Otimes__class_Otimes(X5,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_1605,plain,
    ! [X6,X4,X5] :
      ( c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_1606,axiom,
    ! [X5] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_278 ).

fof(c_0_1607,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_1608,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_1609,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_1610,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_1611,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_1612,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_1613,plain,
    ! [X5,X2] :
      ( c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X5),X2),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X2,X2),X5,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_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_1614,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_286 ).

fof(c_0_1615,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_287 ).

fof(c_0_1616,axiom,
    ! [X4,X5] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_288 ).

fof(c_0_1617,axiom,
    ! [X4,X5] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X4),c_Transcendental_Osin(X5),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_289 ).

fof(c_0_1618,axiom,
    ! [X4,X5] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_290 ).

fof(c_0_1619,axiom,
    ! [X4,X5] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_291 ).

fof(c_0_1620,axiom,
    ! [X4,X5] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X4),c_Transcendental_Osin(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_292 ).

fof(c_0_1621,axiom,
    ! [X4,X5] : c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_293 ).

fof(c_0_1622,axiom,
    ! [X28,X29,X7] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X29,X28,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X28,X7,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_294 ).

fof(c_0_1623,plain,
    ! [X6,X4,X5,X36,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) != c_HOL_Oplus__class_Oplus(X4,X36,X3)
      | c_HOL_Oplus__class_Oplus(X5,X6,X3) = X36 ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_1624,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_1625,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_1626,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_1627,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_1628,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_1629,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_1630,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_1631,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_1632,plain,
    ! [X4,X5,X2] :
      ( c_Log_Opowr(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),X2) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_1633,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_1634,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_1635,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_1636,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_1637,plain,
    ! [X4,X5,X2] :
      ( c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_1638,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_1639,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_1640,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_1641,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_1642,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_1643,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_1644,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_1645,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_1646,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_1647,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_1648,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_1649,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_1650,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_1651,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_1652,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_1653,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_1654,plain,
    ! [X5,X2] :
      ( c_lessequals(c_Transcendental_Oln(X5),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X5,X2),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_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_1655,axiom,
    ! [X5,X36] : c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X36,X36,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_327 ).

fof(c_0_1656,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_1657,plain,
    ! [X34,X35] :
      ( c_HOL_Oord__class_Oless(X34,X35,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X35,c_HOL_Ouminus__class_Ouminus(X34,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_1658,plain,
    ! [X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X5,X3),X3),c_HOL_Oinverse__class_Oinverse(X9,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
      | ~ c_lessequals(X9,c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_1659,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_1660,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_1661,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_1662,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_1663,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_1664,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_1665,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_1666,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_1667,plain,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_1668,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_1669,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_1670,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_1671,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_1672,plain,
    ! [X45,X30,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Otimes__class_Otimes(X30,X45,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X45,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X30,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_1673,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_1674,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_1675,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_1676,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_1677,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_1678,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_1679,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_1680,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_1681,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_1682,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_1683,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_1684,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_1685,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_1686,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_1687,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_1688,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_1689,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_1690,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_1691,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_1692,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_1693,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_1694,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_1695,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_1696,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_1697,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_1698,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_1699,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_1700,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_1701,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_1702,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_1703,plain,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X4,X2),c_Log_Opowr(X5,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_1704,plain,
    ! [X4,X5,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_1705,plain,
    ! [X4,X5,X2] :
      ( c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X4,X2),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_1706,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_1707,plain,
    ! [X4,X5] :
      ( c_lessequals(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_379]) ).

fof(c_0_1708,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_380]) ).

fof(c_0_1709,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_381]) ).

fof(c_0_1710,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_382]) ).

fof(c_0_1711,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_1712,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_384]) ).

fof(c_0_1713,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_1714,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X8,X2,X3),c_HOL_Oplus__class_Oplus(X8,X1,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_386]) ).

fof(c_0_1715,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X8,X3),c_HOL_Oplus__class_Oplus(X1,X8,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_387]) ).

fof(c_0_1716,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_388]) ).

fof(c_0_1717,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_1718,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_390]) ).

fof(c_0_1719,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_391]) ).

fof(c_0_1720,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_lessequals(X1,X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_392]) ).

fof(c_0_1721,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_393]) ).

fof(c_0_1722,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_lessequals(X1,X8,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_1723,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_lessequals(X1,X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_1724,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_1725,plain,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_1726,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_398]) ).

fof(c_0_1727,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,X8,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_1728,plain,
    ! [X4,X5] :
      ( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_400]) ).

fof(c_0_1729,plain,
    ! [X4,X5] :
      ( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_1730,plain,
    ! [X6,X4,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X6,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_402]) ).

fof(c_0_1731,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_1732,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_404]) ).

fof(c_0_1733,plain,
    ! [X30,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X30,c_HOL_Otimes__class_Otimes(X2,X30,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X30,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_405]) ).

fof(c_0_1734,plain,
    ! [X30,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X30,X3),X30,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X30,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_406]) ).

fof(c_0_1735,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3)
      | ~ c_lessequals(X4,X6,X3)
      | ~ c_lessequals(X5,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_407]) ).

fof(c_0_1736,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X5,X3)
      | ~ c_lessequals(X6,X5,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_408]) ).

fof(c_0_1737,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X5,X3)
      | ~ c_lessequals(X1,X5,X3)
      | ~ c_lessequals(X2,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_1738,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3)
      | ~ c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_410]) ).

fof(c_0_1739,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3)
      | ~ c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_1740,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3)
      | ~ c_lessequals(X5,X1,X3)
      | ~ c_lessequals(X5,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_412]) ).

fof(c_0_1741,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_HOL_Oone__class_Oone(X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_1742,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X1,X3),X1,X3) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_HOL_Oone__class_Oone(X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_414]) ).

fof(c_0_1743,plain,
    ! [X1,X20,X2,X3] :
      ( ~ class_Divides_Oring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,X1,X3) != c_Divides_Odiv__class_Omod(X20,X1,X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X20,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_415]) ).

fof(c_0_1744,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_416]) ).

fof(c_0_1745,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_417]) ).

fof(c_0_1746,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_418]) ).

fof(c_0_1747,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_419]) ).

fof(c_0_1748,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_420]) ).

fof(c_0_1749,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_1750,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X6,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_422]) ).

fof(c_0_1751,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X8,X3),c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) = c_Divides_Odiv__class_Odiv(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_423]) ).

fof(c_0_1752,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X8,X2,X3),c_HOL_Otimes__class_Otimes(X8,X1,X3),X3) = c_Divides_Odiv__class_Odiv(X2,X1,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_1753,plain,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_1754,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_1755,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_427]) ).

fof(c_0_1756,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_1757,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_429]) ).

fof(c_0_1758,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_430]) ).

fof(c_0_1759,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_431]) ).

fof(c_0_1760,plain,
    ! [X5,X43,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X43,c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_RealVector_OscaleR__class_OscaleR(X43,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_432]) ).

fof(c_0_1761,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_433]) ).

fof(c_0_1762,plain,
    ! [X9,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X9,X1,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_1763,plain,
    ! [X4,X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_435]) ).

fof(c_0_1764,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_436]) ).

fof(c_0_1765,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_437]) ).

fof(c_0_1766,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_438]) ).

fof(c_0_1767,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X4,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_439]) ).

fof(c_0_1768,plain,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_RealVector_OscaleR__class_OscaleR(X2,X4,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_440]) ).

fof(c_0_1769,plain,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_441]) ).

fof(c_0_1770,plain,
    ! [X19,X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X19,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_442]) ).

fof(c_0_1771,plain,
    ! [X9,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X9,X1,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_443]) ).

fof(c_0_1772,plain,
    ! [X4,X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_444]) ).

fof(c_0_1773,plain,
    ! [X9,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X9,X2,X3),X1,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_445]) ).

fof(c_0_1774,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_446]) ).

fof(c_0_1775,plain,
    ! [X15,X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X8,X15,X3),X3) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X2,X15,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_447]) ).

fof(c_0_1776,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X8,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_448]) ).

fof(c_0_1777,plain,
    ! [X15,X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X8,X15,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X8,X3),X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_449]) ).

fof(c_0_1778,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_450]) ).

fof(c_0_1779,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_451]) ).

fof(c_0_1780,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X4,X3),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_452]) ).

fof(c_0_1781,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X8,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_453]) ).

fof(c_0_1782,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X8,X3),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_454]) ).

fof(c_0_1783,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_455]) ).

fof(c_0_1784,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X4,X6,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X4,X3),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_456]) ).

fof(c_0_1785,plain,
    ! [X22,X23,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(X23,c_HOL_Otimes__class_Otimes(X25,X22,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_457]) ).

fof(c_0_1786,plain,
    ! [X22,X23,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X23,X22,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X23,X3),X22,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_458]) ).

fof(c_0_1787,plain,
    ! [X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),X23,X3) = c_HOL_Otimes__class_Otimes(X25,c_HOL_Otimes__class_Otimes(X24,X23,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_459]) ).

fof(c_0_1788,plain,
    ! [X23,X24,X25,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X24,X3),X23,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X25,X23,X3),X24,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_460]) ).

fof(c_0_1789,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X1,X3),X8,X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X8,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_461]) ).

fof(c_0_1790,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_462]) ).

fof(c_0_1791,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_463]) ).

fof(c_0_1792,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_464]) ).

fof(c_0_1793,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_465]) ).

fof(c_0_1794,plain,
    ! [X5] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[c_0_466]) ).

fof(c_0_1795,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_467]) ).

fof(c_0_1796,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_468]) ).

fof(c_0_1797,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_469]) ).

fof(c_0_1798,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_470]) ).

fof(c_0_1799,plain,
    ! [X4,X5] :
      ( c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_471]) ).

fof(c_0_1800,plain,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_472]) ).

fof(c_0_1801,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_473]) ).

fof(c_0_1802,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_474]) ).

fof(c_0_1803,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_475]) ).

fof(c_0_1804,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_476]) ).

fof(c_0_1805,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_477]) ).

fof(c_0_1806,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_478]) ).

fof(c_0_1807,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_479]) ).

fof(c_0_1808,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_480]) ).

fof(c_0_1809,axiom,
    ! [X4,X5] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_481 ).

fof(c_0_1810,plain,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_lessequals(X16,X17,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_482]) ).

fof(c_0_1811,plain,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X16,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_483]) ).

fof(c_0_1812,plain,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_HOL_Oord__class_Oless(X17,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_484]) ).

fof(c_0_1813,plain,
    ! [X16,X4,X17,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_485]) ).

fof(c_0_1814,plain,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_lessequals(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_486]) ).

fof(c_0_1815,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_487]) ).

fof(c_0_1816,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_488]) ).

fof(c_0_1817,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X4,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_489]) ).

fof(c_0_1818,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X1,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_490]) ).

fof(c_0_1819,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X5,X2,X3)
      | ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_491]) ).

fof(c_0_1820,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X4,X6,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_492]) ).

fof(c_0_1821,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,X6,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_493]) ).

fof(c_0_1822,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X1,X5,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_494]) ).

fof(c_0_1823,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X2,X5,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_495]) ).

fof(c_0_1824,axiom,
    ! [X9,X2] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X9,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X9,tc_RealDef_Oreal),
    c_0_496 ).

fof(c_0_1825,axiom,
    ! [X27,X28,X29] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X29,X28,tc_RealDef_Oreal),X27,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X29,c_HOL_Otimes__class_Otimes(X28,X27,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_497 ).

fof(c_0_1826,axiom,
    ! [X5] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X5),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_498 ).

fof(c_0_1827,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X3),X4,X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_499]) ).

fof(c_0_1828,plain,
    ! [X5,X1,X2] :
      ( c_lessequals(X2,X1,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_500]) ).

fof(c_0_1829,plain,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_501]) ).

fof(c_0_1830,plain,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_502]) ).

fof(c_0_1831,plain,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_503]) ).

fof(c_0_1832,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X4,X3),X5,X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_504]) ).

fof(c_0_1833,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X2,X3),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X1,X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_505]) ).

fof(c_0_1834,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_506]) ).

fof(c_0_1835,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_507]) ).

fof(c_0_1836,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_508]) ).

fof(c_0_1837,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_509]) ).

fof(c_0_1838,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Otimes__class_Otimes(X5,X6,X3) != c_HOL_Otimes__class_Otimes(X7,X4,X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X3) = c_HOL_Oinverse__class_Odivide(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_510]) ).

fof(c_0_1839,plain,
    ! [X6,X4,X5,X7,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X3) != c_HOL_Oinverse__class_Odivide(X7,X6,X3)
      | X6 = c_HOL_Ozero__class_Ozero(X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Otimes__class_Otimes(X5,X6,X3) = c_HOL_Otimes__class_Otimes(X7,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_511]) ).

fof(c_0_1840,plain,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) != c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_512]) ).

fof(c_0_1841,plain,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) != c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_513]) ).

fof(c_0_1842,plain,
    ! [X4,X5,X1] :
      ( c_Log_Olog(X1,c_Log_Opowr(X5,X4)) = c_HOL_Otimes__class_Otimes(X4,c_Log_Olog(X1,X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_514]) ).

fof(c_0_1843,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_515]) ).

fof(c_0_1844,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_516]) ).

fof(c_0_1845,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_517]) ).

fof(c_0_1846,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_518]) ).

fof(c_0_1847,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_519]) ).

fof(c_0_1848,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_520]) ).

fof(c_0_1849,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_521]) ).

fof(c_0_1850,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_522]) ).

fof(c_0_1851,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_523]) ).

fof(c_0_1852,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_524]) ).

fof(c_0_1853,plain,
    ! [X34,X35] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X35,c_HOL_Ouminus__class_Ouminus(X34,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X34,X35,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_525]) ).

fof(c_0_1854,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_526]) ).

fof(c_0_1855,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_527 ).

fof(c_0_1856,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_528]) ).

fof(c_0_1857,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_529]) ).

fof(c_0_1858,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_530]) ).

fof(c_0_1859,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_531]) ).

fof(c_0_1860,plain,
    ! [X5,X9] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_532]) ).

fof(c_0_1861,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_533]) ).

fof(c_0_1862,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_534]) ).

fof(c_0_1863,plain,
    ! [X5,X1,X2] :
      ( c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_535]) ).

fof(c_0_1864,plain,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_536]) ).

fof(c_0_1865,plain,
    ! [X5,X1,X2] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_537]) ).

fof(c_0_1866,plain,
    ! [X5,X1,X2] :
      ( c_lessequals(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_538]) ).

fof(c_0_1867,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) != X4
      | X5 = c_HOL_Ouminus__class_Ouminus(X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_539]) ).

fof(c_0_1868,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_540]) ).

fof(c_0_1869,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oone__class_Oone(X3),X5,X3)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_541]) ).

fof(c_0_1870,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X5,X3)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_542]) ).

fof(c_0_1871,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_543]) ).

fof(c_0_1872,plain,
    ~ 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),
    inference(fof_simplification,[status(thm)],[c_0_544]) ).

fof(c_0_1873,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_545]) ).

fof(c_0_1874,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_546]) ).

fof(c_0_1875,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X2,X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_547]) ).

fof(c_0_1876,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_548]) ).

fof(c_0_1877,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_549]) ).

fof(c_0_1878,axiom,
    ! [X4,X5] :
      ( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_550 ).

fof(c_0_1879,axiom,
    ! [X4,X5] :
      ( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_551 ).

fof(c_0_1880,plain,
    ! [X4,X5] :
      ( c_Transcendental_Oln(c_Log_Opowr(X5,X4)) = c_HOL_Otimes__class_Otimes(X4,c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_552]) ).

fof(c_0_1881,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X5 = X4
      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_553]) ).

fof(c_0_1882,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X5,X5,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_554]) ).

fof(c_0_1883,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X5,X4,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_555]) ).

fof(c_0_1884,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_556]) ).

fof(c_0_1885,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_557]) ).

fof(c_0_1886,plain,
    ! [X5,X2] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X5,X2),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_558]) ).

fof(c_0_1887,plain,
    ! [X4] :
      ( c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X4),c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_559]) ).

fof(c_0_1888,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_560]) ).

fof(c_0_1889,plain,
    ! [X5,X2] :
      ( c_Log_Olog(X2,c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X2,X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_561]) ).

fof(c_0_1890,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_lessequals(X1,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_562]) ).

fof(c_0_1891,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_lessequals(X2,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_563]) ).

fof(c_0_1892,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_564]) ).

fof(c_0_1893,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X5,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_565]) ).

fof(c_0_1894,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_566]) ).

fof(c_0_1895,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(X1,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_567]) ).

fof(c_0_1896,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_lessequals(X5,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_568]) ).

fof(c_0_1897,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
      | ~ c_lessequals(X5,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_569]) ).

fof(c_0_1898,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_570]) ).

fof(c_0_1899,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_571]) ).

fof(c_0_1900,plain,
    ! [X30,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X30,X30,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X30,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_572]) ).

fof(c_0_1901,axiom,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_573 ).

fof(c_0_1902,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_574]) ).

fof(c_0_1903,plain,
    ! [X4,X5] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_575]) ).

fof(c_0_1904,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_576]) ).

fof(c_0_1905,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_577]) ).

fof(c_0_1906,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_578]) ).

fof(c_0_1907,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_579]) ).

fof(c_0_1908,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_580]) ).

fof(c_0_1909,plain,
    ! [X4,X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X3),c_Transcendental_Oexp(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_581]) ).

fof(c_0_1910,plain,
    ! [X4,X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X3),c_Transcendental_Oexp(X4,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_582]) ).

fof(c_0_1911,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_583]) ).

fof(c_0_1912,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_584]) ).

fof(c_0_1913,plain,
    ! [X4,X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X5,X3),c_Transcendental_Oexp(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_585]) ).

fof(c_0_1914,plain,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__div__algebra(X3)
      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X5,X3),X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_586]) ).

fof(c_0_1915,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_587]) ).

fof(c_0_1916,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_588]) ).

fof(c_0_1917,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_589]) ).

fof(c_0_1918,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_590]) ).

fof(c_0_1919,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_591]) ).

fof(c_0_1920,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_592]) ).

fof(c_0_1921,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_593]) ).

fof(c_0_1922,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__field(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_594]) ).

fof(c_0_1923,plain,
    ! [X5,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__div__algebra(X3)
      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_595]) ).

fof(c_0_1924,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Onorm__class_Onorm(X1,X3),tc_RealDef_Oreal)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_596]) ).

fof(c_0_1925,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__field(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_597]) ).

fof(c_0_1926,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X6,X5,X3)
      | ~ c_lessequals(X6,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_598]) ).

fof(c_0_1927,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X5,X3)
      | ~ c_lessequals(X6,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_599]) ).

fof(c_0_1928,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_600]) ).

fof(c_0_1929,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X5,X6,X3)
      | ~ c_lessequals(X4,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_601]) ).

fof(c_0_1930,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X6,X3)
      | ~ c_lessequals(X4,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_602]) ).

fof(c_0_1931,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X6,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_603]) ).

fof(c_0_1932,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_604]) ).

fof(c_0_1933,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X6,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_605]) ).

fof(c_0_1934,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_606]) ).

fof(c_0_1935,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_607]) ).

fof(c_0_1936,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X2,X3),c_HOL_Osgn__class_Osgn(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_608]) ).

fof(c_0_1937,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X3),c_HOL_Osgn__class_Osgn(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_609]) ).

fof(c_0_1938,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_610]) ).

fof(c_0_1939,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X5,X3),c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_611]) ).

fof(c_0_1940,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_612]) ).

fof(c_0_1941,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_613]) ).

fof(c_0_1942,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X5,X3),c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_614]) ).

fof(c_0_1943,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_615]) ).

fof(c_0_1944,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X3),c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_616]) ).

fof(c_0_1945,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_617]) ).

fof(c_0_1946,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_618]) ).

fof(c_0_1947,plain,
    ! [X5,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X9,X5,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X9,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_619]) ).

fof(c_0_1948,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_620]) ).

fof(c_0_1949,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_621]) ).

fof(c_0_1950,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X5,X3),c_RealVector_Oof__real(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_622]) ).

fof(c_0_1951,plain,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_623]) ).

fof(c_0_1952,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_624]) ).

fof(c_0_1953,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_625]) ).

fof(c_0_1954,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_626]) ).

fof(c_0_1955,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_627]) ).

fof(c_0_1956,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_628]) ).

fof(c_0_1957,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_629]) ).

fof(c_0_1958,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X1,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_630]) ).

fof(c_0_1959,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X1,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_631]) ).

fof(c_0_1960,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_632]) ).

fof(c_0_1961,plain,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_633]) ).

fof(c_0_1962,axiom,
    ! [X5,X1,X2] : c_Log_Opowr(X5,c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal),
    c_0_634 ).

fof(c_0_1963,axiom,
    ! [X5,X1,X2] : c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X5,X2),c_Log_Opowr(X5,X1),tc_RealDef_Oreal) = c_Log_Opowr(X5,c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal)),
    c_0_635 ).

fof(c_0_1964,plain,
    ! [X5,X2] :
      ( c_Log_Opowr(X2,c_Log_Olog(X2,X5)) = X5
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_636]) ).

fof(c_0_1965,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3),X3) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_637]) ).

fof(c_0_1966,plain,
    ! [X31,X47,X48] :
      ( c_lessequals(X48,X31,tc_RealDef_Oreal)
      | ~ c_lessequals(X47,X31,tc_RealDef_Oreal)
      | ~ c_lessequals(X48,X47,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_638]) ).

fof(c_0_1967,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_639]) ).

fof(c_0_1968,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_640]) ).

fof(c_0_1969,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_641]) ).

fof(c_0_1970,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_642]) ).

fof(c_0_1971,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_643]) ).

fof(c_0_1972,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_644]) ).

fof(c_0_1973,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_645]) ).

fof(c_0_1974,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_646]) ).

fof(c_0_1975,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_647]) ).

fof(c_0_1976,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_648]) ).

fof(c_0_1977,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_649]) ).

fof(c_0_1978,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_650]) ).

fof(c_0_1979,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_651]) ).

fof(c_0_1980,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_652]) ).

fof(c_0_1981,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_653]) ).

fof(c_0_1982,axiom,
    ! [X5] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_654 ).

fof(c_0_1983,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_655]) ).

fof(c_0_1984,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_656]) ).

fof(c_0_1985,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_657]) ).

fof(c_0_1986,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_658]) ).

fof(c_0_1987,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Oinverse__class_Oinverse(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_659]) ).

fof(c_0_1988,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_660]) ).

fof(c_0_1989,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_661]) ).

fof(c_0_1990,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_662]) ).

fof(c_0_1991,plain,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_663]) ).

fof(c_0_1992,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X3),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_664]) ).

fof(c_0_1993,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_665]) ).

fof(c_0_1994,plain,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_666]) ).

fof(c_0_1995,plain,
    ! [X19,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X19,c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X19,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_667]) ).

fof(c_0_1996,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_668]) ).

fof(c_0_1997,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X3),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_669]) ).

fof(c_0_1998,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_670]) ).

fof(c_0_1999,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_671]) ).

fof(c_0_2000,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_672]) ).

fof(c_0_2001,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_673]) ).

fof(c_0_2002,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_674]) ).

fof(c_0_2003,plain,
    ! [X19,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X19,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X5,X19,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_675]) ).

fof(c_0_2004,plain,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X5,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X2,X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_676]) ).

fof(c_0_2005,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_677]) ).

fof(c_0_2006,plain,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_678]) ).

fof(c_0_2007,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_679]) ).

fof(c_0_2008,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_680]) ).

fof(c_0_2009,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_681]) ).

fof(c_0_2010,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_682]) ).

fof(c_0_2011,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_683]) ).

fof(c_0_2012,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_684]) ).

fof(c_0_2013,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_685]) ).

fof(c_0_2014,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_686]) ).

fof(c_0_2015,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_687]) ).

fof(c_0_2016,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_688]) ).

fof(c_0_2017,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_689]) ).

fof(c_0_2018,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_690]) ).

fof(c_0_2019,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_691]) ).

fof(c_0_2020,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_692]) ).

fof(c_0_2021,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_693]) ).

fof(c_0_2022,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_694]) ).

fof(c_0_2023,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X3),c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_695]) ).

fof(c_0_2024,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | c_HOL_Otimes__class_Otimes(X2,X2,X3) != c_HOL_Otimes__class_Otimes(X1,X1,X3)
      | X2 = c_HOL_Ouminus__class_Ouminus(X1,X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_696]) ).

fof(c_0_2025,plain,
    ! [X5,X9] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_697]) ).

fof(c_0_2026,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Oplus__class_Oplus(X2,X1,X3),X3) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_698]) ).

fof(c_0_2027,plain,
    ! [X6,X4,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X3),c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_699]) ).

fof(c_0_2028,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_700]) ).

fof(c_0_2029,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_701]) ).

fof(c_0_2030,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_702]) ).

fof(c_0_2031,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_703]) ).

fof(c_0_2032,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_704]) ).

fof(c_0_2033,plain,
    ! [X4,X5] :
      ( c_Transcendental_Oln(X5) != c_Transcendental_Oln(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_705]) ).

fof(c_0_2034,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X8,X3),X8,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_706]) ).

fof(c_0_2035,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Ozero__class_Ozero(X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X8,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_707]) ).

fof(c_0_2036,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_708]) ).

fof(c_0_2037,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_709]) ).

fof(c_0_2038,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_710]) ).

fof(c_0_2039,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_711]) ).

fof(c_0_2040,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_712]) ).

fof(c_0_2041,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_713]) ).

fof(c_0_2042,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Osgn__class_Osgn(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_714]) ).

fof(c_0_2043,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_715]) ).

fof(c_0_2044,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_716]) ).

fof(c_0_2045,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_717]) ).

fof(c_0_2046,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X2,X1,X3)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_718]) ).

fof(c_0_2047,plain,
    ! [X6,X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) != c_HOL_Oplus__class_Oplus(X5,X6,X3)
      | X4 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_719]) ).

fof(c_0_2048,plain,
    ! [X5,X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,X5,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_720]) ).

fof(c_0_2049,axiom,
    ! [X5] : c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_721 ).

fof(c_0_2050,plain,
    ! [X4,X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,X5,X3) != c_RealVector_OscaleR__class_OscaleR(X2,X4,X3)
      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_722]) ).

fof(c_0_2051,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_723]) ).

fof(c_0_2052,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_724]) ).

fof(c_0_2053,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_725]) ).

fof(c_0_2054,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_726]) ).

fof(c_0_2055,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_727]) ).

fof(c_0_2056,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_728]) ).

fof(c_0_2057,plain,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_729]) ).

fof(c_0_2058,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Odist__norm(X3)
      | c_RealVector_Odist__class_Odist(X5,X4,X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_730]) ).

fof(c_0_2059,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_731]) ).

fof(c_0_2060,plain,
    ! [X8,X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X8,X3) = X1
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_732]) ).

fof(c_0_2061,plain,
    ! [X8,X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | X1 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X8,X3),X8,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_733]) ).

fof(c_0_2062,plain,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3) = X2
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_734]) ).

fof(c_0_2063,plain,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_735]) ).

fof(c_0_2064,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | ~ c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_736]) ).

fof(c_0_2065,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | ~ c_lessequals(X4,X5,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_737]) ).

fof(c_0_2066,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_738]) ).

fof(c_0_2067,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_739]) ).

fof(c_0_2068,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_740]) ).

fof(c_0_2069,plain,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_741]) ).

fof(c_0_2070,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_742]) ).

fof(c_0_2071,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_743]) ).

fof(c_0_2072,plain,
    ! [X4,X19,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X19,X4,X3) != c_HOL_Ominus__class_Ominus(X5,X5,X3)
      | X19 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_744]) ).

fof(c_0_2073,plain,
    ! [X16,X17,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) != c_HOL_Ominus__class_Ominus(X17,X16,X3)
      | X17 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_745]) ).

fof(c_0_2074,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Oplus__class_Oplus(X8,X2,X3)
      | X1 = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_746]) ).

fof(c_0_2075,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Oplus__class_Oplus(X2,X8,X3)
      | X1 = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_747]) ).

fof(c_0_2076,plain,
    ! [X8,X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Oplus__class_Oplus(X2,X8,X3)
      | X1 = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_748]) ).

fof(c_0_2077,plain,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_749]) ).

fof(c_0_2078,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_750]) ).

fof(c_0_2079,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_751]) ).

fof(c_0_2080,plain,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_752]) ).

fof(c_0_2081,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_753]) ).

fof(c_0_2082,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_754]) ).

fof(c_0_2083,plain,
    ! [X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X5,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_755]) ).

fof(c_0_2084,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X4,X5,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_756]) ).

fof(c_0_2085,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_757]) ).

fof(c_0_2086,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_758]) ).

fof(c_0_2087,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = X2
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_759]) ).

fof(c_0_2088,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X1,X3),X1,X3) = X2
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_760]) ).

fof(c_0_2089,plain,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_761]) ).

fof(c_0_2090,plain,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X8,X3),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_762]) ).

fof(c_0_2091,plain,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_763]) ).

fof(c_0_2092,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_764]) ).

fof(c_0_2093,plain,
    ! [X5,X9] :
      ( c_lessequals(X5,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_765]) ).

fof(c_0_2094,axiom,
    ! [X4,X5] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal),
    c_0_766 ).

fof(c_0_2095,axiom,
    ! [X4,X5] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X5,X4,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal),
    c_0_767 ).

fof(c_0_2096,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X1,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_768]) ).

fof(c_0_2097,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_769]) ).

fof(c_0_2098,axiom,
    ! [X8,X1,X2] :
      ( c_HOL_Otimes__class_Otimes(X8,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X8,X1,tc_RealDef_Oreal)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X2 = X1 ),
    c_0_770 ).

fof(c_0_2099,axiom,
    ! [X8,X1,X2] :
      ( c_HOL_Otimes__class_Otimes(X2,X8,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X8,tc_RealDef_Oreal)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X2 = X1 ),
    c_0_771 ).

fof(c_0_2100,plain,
    ! [X1,X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X2,X1,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_772]) ).

fof(c_0_2101,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X5,X4,X3),tc_RealDef_Oreal)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_773]) ).

fof(c_0_2102,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_RealVector_Odist__class_Odist(X5,X5,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_774]) ).

fof(c_0_2103,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X5,X4,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_775]) ).

fof(c_0_2104,plain,
    ! [X6,X7] :
      ( X6 = X7
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_776]) ).

fof(c_0_2105,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_777]) ).

fof(c_0_2106,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,X3),X1,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_778]) ).

fof(c_0_2107,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,X3),X1,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_779]) ).

fof(c_0_2108,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_780]) ).

fof(c_0_2109,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_781]) ).

fof(c_0_2110,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_782]) ).

fof(c_0_2111,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_783]) ).

fof(c_0_2112,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_784]) ).

fof(c_0_2113,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_785]) ).

fof(c_0_2114,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_786]) ).

fof(c_0_2115,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_787]) ).

fof(c_0_2116,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_788]) ).

fof(c_0_2117,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_789]) ).

fof(c_0_2118,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Otimes__class_Otimes(X2,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_790]) ).

fof(c_0_2119,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_791]) ).

fof(c_0_2120,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_792]) ).

fof(c_0_2121,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_793]) ).

fof(c_0_2122,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_794]) ).

fof(c_0_2123,plain,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_795]) ).

fof(c_0_2124,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_796]) ).

fof(c_0_2125,plain,
    ! [X5] :
      ( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X5),X5,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_797]) ).

fof(c_0_2126,plain,
    ! [X4] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_798]) ).

fof(c_0_2127,plain,
    ! [X4] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_799]) ).

fof(c_0_2128,axiom,
    ! [X5] :
      ( X5 = 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(X5,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_800 ).

fof(c_0_2129,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_801]) ).

fof(c_0_2130,axiom,
    ! [X5,X1,X2] : c_Log_Opowr(c_Log_Opowr(X5,X2),X1) = c_Log_Opowr(X5,c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)),
    c_0_802 ).

fof(c_0_2131,axiom,
    ! [X6,X5] : X5 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X5,X6,tc_RealDef_Oreal),X6,tc_RealDef_Oreal),
    c_0_803 ).

fof(c_0_2132,axiom,
    ! [X6,X4] : X4 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,X6,tc_RealDef_Oreal),X6,tc_RealDef_Oreal),
    c_0_804 ).

fof(c_0_2133,plain,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = X2
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_805]) ).

fof(c_0_2134,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_806]) ).

fof(c_0_2135,plain,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_807]) ).

fof(c_0_2136,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X3),X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_808]) ).

fof(c_0_2137,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_809]) ).

fof(c_0_2138,plain,
    ! [X4] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_810]) ).

fof(c_0_2139,plain,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_811]) ).

fof(c_0_2140,plain,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_812]) ).

fof(c_0_2141,plain,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_813]) ).

fof(c_0_2142,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_814]) ).

fof(c_0_2143,plain,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_815]) ).

fof(c_0_2144,plain,
    ! [X4] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_816]) ).

fof(c_0_2145,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_817]) ).

fof(c_0_2146,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_818]) ).

fof(c_0_2147,plain,
    ! [X4] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_819]) ).

fof(c_0_2148,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_820]) ).

fof(c_0_2149,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_821]) ).

fof(c_0_2150,plain,
    ! [X4] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_822]) ).

fof(c_0_2151,plain,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_823]) ).

fof(c_0_2152,plain,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_824]) ).

fof(c_0_2153,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_825]) ).

fof(c_0_2154,plain,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_826]) ).

fof(c_0_2155,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_827]) ).

fof(c_0_2156,plain,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_828]) ).

fof(c_0_2157,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_829]) ).

fof(c_0_2158,plain,
    ! [X4] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_830]) ).

fof(c_0_2159,plain,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | X2 = X1
      | ~ c_lessequals(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_831]) ).

fof(c_0_2160,plain,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X1,X2,X3)
      | ~ c_lessequals(X1,X2,X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_832]) ).

fof(c_0_2161,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_833]) ).

fof(c_0_2162,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | ~ c_lessequals(X5,X4,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_834]) ).

fof(c_0_2163,plain,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | ~ c_lessequals(X2,X1,X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_835]) ).

fof(c_0_2164,plain,
    ! [X1,X2,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X2,X1,X3)
      | X2 = X1
      | ~ c_lessequals(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_836]) ).

fof(c_0_2165,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_837]) ).

fof(c_0_2166,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | X5 = X4
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_838]) ).

fof(c_0_2167,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Osgn__div__norm(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_839]) ).

fof(c_0_2168,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) != X4
      | c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_840]) ).

fof(c_0_2169,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) != X5
      | c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_841]) ).

fof(c_0_2170,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_842]) ).

fof(c_0_2171,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_843]) ).

fof(c_0_2172,plain,
    ! [X4,X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_844]) ).

fof(c_0_2173,plain,
    ! [X4,X5] :
      ( c_lessequals(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_845]) ).

fof(c_0_2174,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X3) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_846]) ).

fof(c_0_2175,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = X5
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_847]) ).

fof(c_0_2176,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = X4
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_848]) ).

fof(c_0_2177,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = X5
      | ~ c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_849]) ).

fof(c_0_2178,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = X4
      | ~ c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_850]) ).

fof(c_0_2179,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_851]) ).

fof(c_0_2180,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_852]) ).

fof(c_0_2181,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X5,X4,X3)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_853]) ).

fof(c_0_2182,plain,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_854]) ).

fof(c_0_2183,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_855]) ).

fof(c_0_2184,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_856]) ).

fof(c_0_2185,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_857]) ).

fof(c_0_2186,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_858]) ).

fof(c_0_2187,axiom,
    ! [X5] : c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    c_0_859 ).

fof(c_0_2188,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_860]) ).

fof(c_0_2189,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,X2) = c_Transcendental_Oexp(c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_861 ).

fof(c_0_2190,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X1,X3) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_862]) ).

fof(c_0_2191,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_863]) ).

fof(c_0_2192,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_864]) ).

fof(c_0_2193,plain,
    ! [X5,X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_OscaleR__class_OscaleR(X9,X5,X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X9,X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_865]) ).

fof(c_0_2194,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_866]) ).

fof(c_0_2195,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_867]) ).

fof(c_0_2196,plain,
    ! [X4,X5,X3] :
      ( ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_868]) ).

fof(c_0_2197,plain,
    ! [X4,X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_869]) ).

fof(c_0_2198,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_870]) ).

fof(c_0_2199,plain,
    ! [X4,X5] :
      ( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
      | X5 = X4
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_871]) ).

fof(c_0_2200,plain,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_872]) ).

fof(c_0_2201,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_873]) ).

fof(c_0_2202,plain,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_874]) ).

fof(c_0_2203,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_875]) ).

fof(c_0_2204,plain,
    ! [X5] :
      ( c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_876]) ).

fof(c_0_2205,plain,
    ! [X4,X2] :
      ( c_Log_Olog(X2,c_Log_Opowr(X2,X4)) = X4
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_877]) ).

fof(c_0_2206,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_878]) ).

fof(c_0_2207,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_879]) ).

fof(c_0_2208,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_880]) ).

fof(c_0_2209,axiom,
    ! [X35,X46] : c_HOL_Oinverse__class_Odivide(X46,X35,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X46,c_HOL_Oinverse__class_Oinverse(X35,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_881 ).

fof(c_0_2210,axiom,
    ! [X21,X9] : c_HOL_Ominus__class_Ominus(X9,X21,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Ouminus__class_Ouminus(X21,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_882 ).

fof(c_0_2211,plain,
    ! [X1,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_883]) ).

fof(c_0_2212,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_884]) ).

fof(c_0_2213,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Osgn__if(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) = c_HOL_Oone__class_Oone(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_885]) ).

fof(c_0_2214,axiom,
    ! [X5,X2] :
      ( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X2 ),
    c_0_886 ).

fof(c_0_2215,plain,
    ! [X5] : ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[c_0_887]) ).

fof(c_0_2216,plain,
    ! [X5] : ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[c_0_888]) ).

fof(c_0_2217,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    c_0_889 ).

fof(c_0_2218,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    c_0_890 ).

fof(c_0_2219,axiom,
    ! [X5] : c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X5),tc_RealDef_Oreal),
    c_0_891 ).

fof(c_0_2220,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    c_0_892 ).

fof(c_0_2221,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_893]) ).

fof(c_0_2222,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_894]) ).

fof(c_0_2223,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) = c_HOL_Oone__class_Oone(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_895]) ).

fof(c_0_2224,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_896]) ).

fof(c_0_2225,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_897]) ).

fof(c_0_2226,axiom,
    ! [X5] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),
    c_0_898 ).

fof(c_0_2227,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_899]) ).

fof(c_0_2228,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_900]) ).

fof(c_0_2229,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_901]) ).

fof(c_0_2230,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X5 = X4
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_902]) ).

fof(c_0_2231,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_903]) ).

fof(c_0_2232,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X5,X2),tc_RealDef_Oreal),
    c_0_904 ).

fof(c_0_2233,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) = X2
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_905]) ).

fof(c_0_2234,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) = X2
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_906]) ).

fof(c_0_2235,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_907]) ).

fof(c_0_2236,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_908]) ).

fof(c_0_2237,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X4,X5,X3)
      | c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_909]) ).

fof(c_0_2238,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X4,X5,X3)
      | c_lessequals(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_910]) ).

fof(c_0_2239,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X4,X5,X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_911]) ).

fof(c_0_2240,plain,
    ! [X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X5,X5,X3)
      | c_lessequals(X5,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_912]) ).

fof(c_0_2241,plain,
    ! [X4,X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X5,X4,X3)
      | c_lessequals(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_913]) ).

fof(c_0_2242,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_914]) ).

fof(c_0_2243,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_915]) ).

fof(c_0_2244,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_916]) ).

fof(c_0_2245,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X5,X4,X3) = c_HOL_Oplus__class_Oplus(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_917]) ).

fof(c_0_2246,plain,
    ! [X8,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,X8,X3) = c_HOL_Oplus__class_Oplus(X8,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_918]) ).

fof(c_0_2247,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_919]) ).

fof(c_0_2248,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_920]) ).

fof(c_0_2249,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_RealVector_Odist__class_Odist(X5,X4,X3) = c_RealVector_Odist__class_Odist(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_921]) ).

fof(c_0_2250,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_922]) ).

fof(c_0_2251,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X5,X4,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_923]) ).

fof(c_0_2252,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ouminus__class_Ouminus(X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_924]) ).

fof(c_0_2253,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_925]) ).

fof(c_0_2254,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X3),c_HOL_Oabs__class_Oabs(X5,X3),X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_926]) ).

fof(c_0_2255,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Oone__class_Oone(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_927]) ).

fof(c_0_2256,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | X2 = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_928]) ).

fof(c_0_2257,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_929]) ).

fof(c_0_2258,plain,
    ! [X5,X3] :
      ( ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ouminus__class_Ouminus(X5,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_930]) ).

fof(c_0_2259,plain,
    ! [X9] :
      ( c_HOL_Oabs__class_Oabs(X9,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_931]) ).

fof(c_0_2260,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_932 ).

fof(c_0_2261,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_933]) ).

fof(c_0_2262,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_934]) ).

fof(c_0_2263,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_935]) ).

fof(c_0_2264,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_936]) ).

fof(c_0_2265,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_937]) ).

fof(c_0_2266,plain,
    ! [X2] :
      ( c_Log_Olog(X2,X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_938]) ).

fof(c_0_2267,axiom,
    ! [X5] : c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X5,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X5),
    c_0_939 ).

fof(c_0_2268,plain,
    ! [X4,X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_940]) ).

fof(c_0_2269,plain,
    ! [X5,X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,X5,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_941]) ).

fof(c_0_2270,plain,
    ! [X5] :
      ( c_Transcendental_Oexp(c_Transcendental_Oln(X5),tc_RealDef_Oreal) = X5
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_942]) ).

fof(c_0_2271,plain,
    ! [X4] :
      ( c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X4),tc_RealDef_Oreal) = X4
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_943]) ).

fof(c_0_2272,axiom,
    ! [X5] :
      ( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_944 ).

fof(c_0_2273,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Osgn__if(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_945]) ).

fof(c_0_2274,plain,
    ! [X5] :
      ( c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_946]) ).

fof(c_0_2275,plain,
    ! [X5,X2,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X5 != c_HOL_Oplus__class_Oplus(X5,X2,X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_947]) ).

fof(c_0_2276,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X1,X3) != c_HOL_Oone__class_Oone(X3)
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_948]) ).

fof(c_0_2277,plain,
    ! [X5] :
      ( c_Log_Opowr(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X5
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_949]) ).

fof(c_0_2278,axiom,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | c_lessequals(X6,X7,tc_RealDef_Oreal) ),
    c_0_950 ).

fof(c_0_2279,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_951]) ).

fof(c_0_2280,axiom,
    ! [X6,X7] : c_HOL_Otimes__class_Otimes(X6,X7,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),
    c_0_952 ).

fof(c_0_2281,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_953]) ).

fof(c_0_2282,plain,
    ! [X5] :
      ( c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_954]) ).

fof(c_0_2283,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_955]) ).

fof(c_0_2284,plain,
    ! [X5] :
      ( c_Transcendental_Oln(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_956]) ).

fof(c_0_2285,plain,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_957]) ).

fof(c_0_2286,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X3),X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_958]) ).

fof(c_0_2287,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_959]) ).

fof(c_0_2288,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_960]) ).

fof(c_0_2289,plain,
    ! [X31,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oabs__class_Oabs(X31,X3) = c_HOL_Otimes__class_Otimes(X31,c_HOL_Osgn__class_Osgn(X31,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_961]) ).

fof(c_0_2290,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_962]) ).

fof(c_0_2291,axiom,
    ! [X4,X5] :
      ( c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X4 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
    c_0_963 ).

fof(c_0_2292,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oabs__class_Oabs(X2,X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_964]) ).

fof(c_0_2293,plain,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_965]) ).

fof(c_0_2294,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_RealVector_Odist__class_Odist(X5,X4,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_966]) ).

fof(c_0_2295,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_967]) ).

fof(c_0_2296,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X3),X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_968]) ).

fof(c_0_2297,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_969]) ).

fof(c_0_2298,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) != c_HOL_Oone__class_Oone(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_970]) ).

fof(c_0_2299,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_971]) ).

fof(c_0_2300,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_972]) ).

fof(c_0_2301,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_973]) ).

fof(c_0_2302,plain,
    ! [X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_974]) ).

fof(c_0_2303,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_975]) ).

fof(c_0_2304,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_976]) ).

fof(c_0_2305,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_977]) ).

fof(c_0_2306,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_978]) ).

fof(c_0_2307,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_979]) ).

fof(c_0_2308,plain,
    ! [X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_980]) ).

fof(c_0_2309,plain,
    ! [X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_981]) ).

fof(c_0_2310,plain,
    ! [X5,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_982]) ).

fof(c_0_2311,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_983]) ).

fof(c_0_2312,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_984]) ).

fof(c_0_2313,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__field(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X3),X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_985]) ).

fof(c_0_2314,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X3) != X2
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_986]) ).

fof(c_0_2315,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X3) != X2
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_987]) ).

fof(c_0_2316,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_988]) ).

fof(c_0_2317,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_989]) ).

fof(c_0_2318,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_990]) ).

fof(c_0_2319,plain,
    ! [X1,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_991]) ).

fof(c_0_2320,axiom,
    ! [X5] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X5),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_992 ).

fof(c_0_2321,axiom,
    ! [X5] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X5),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_993 ).

fof(c_0_2322,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_994]) ).

fof(c_0_2323,plain,
    ! [X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_RealVector_Oof__real(X5,X3),X3) = c_RealVector_Oof__real(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_995]) ).

fof(c_0_2324,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | ~ class_RealVector_Oreal__div__algebra(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_996]) ).

fof(c_0_2325,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_997]) ).

fof(c_0_2326,plain,
    ! [X2,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_998]) ).

fof(c_0_2327,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_999]) ).

fof(c_0_2328,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(X5,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1000]) ).

fof(c_0_2329,axiom,
    ! [X5] :
      ( c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1001 ).

fof(c_0_2330,axiom,
    ! [X5] : c_HOL_Osgn__class_Osgn(X5,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_1002 ).

fof(c_0_2331,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__div__algebra(X3)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X5,X3),X3)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1003]) ).

fof(c_0_2332,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X2,c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1004]) ).

fof(c_0_2333,axiom,
    ! [X5] :
      ( c_Transcendental_Oexp(c_Transcendental_Oln(X5),tc_RealDef_Oreal) != X5
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    c_0_1005 ).

fof(c_0_2334,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X2,X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1006]) ).

fof(c_0_2335,plain,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1007]) ).

fof(c_0_2336,plain,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1008]) ).

fof(c_0_2337,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1009]) ).

fof(c_0_2338,plain,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[c_0_1010]) ).

fof(c_0_2339,plain,
    ! [X5,X3] : ~ c_Ring__and__Field_Ozero__neq__one(X5,X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_1011]) ).

fof(c_0_2340,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1012]) ).

fof(c_0_2341,axiom,
    ! [X5] :
      ( c_Log_Opowr(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X5
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    c_0_1013 ).

fof(c_0_2342,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X9,X3),X3) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X9,tc_RealDef_Oreal),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1014]) ).

fof(c_0_2343,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1015]) ).

fof(c_0_2344,plain,
    ! [X5] : ~ c_HOL_Oord__class_Oless(X5,X5,tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[c_0_1016]) ).

fof(c_0_2345,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) = X2
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1017]) ).

fof(c_0_2346,axiom,
    ! [X5] :
      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1018 ).

fof(c_0_2347,axiom,
    ! [X4,X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X5,X4),tc_RealDef_Oreal),
    c_0_1019 ).

fof(c_0_2348,axiom,
    ! [X5,X2] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X5,X2),tc_RealDef_Oreal),
    c_0_1020 ).

fof(c_0_2349,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1021]) ).

fof(c_0_2350,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1022]) ).

fof(c_0_2351,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(X9,X3) = c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Oone__class_Oone(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1023]) ).

fof(c_0_2352,axiom,
    ! [X4] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1024 ).

fof(c_0_2353,axiom,
    ! [X5,X1,X2] : c_Log_Opowr(c_Log_Opowr(X5,X2),X1) = c_Log_Opowr(c_Log_Opowr(X5,X1),X2),
    c_0_1025 ).

fof(c_0_2354,axiom,
    ! [X5] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_1026 ).

fof(c_0_2355,axiom,
    ! [X5,X2] : c_Log_Olog(X2,X5) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X5),c_Transcendental_Oln(X2),tc_RealDef_Oreal),
    c_0_1027 ).

fof(c_0_2356,axiom,
    ! [X5] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_1028 ).

fof(c_0_2357,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1029]) ).

fof(c_0_2358,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1030]) ).

fof(c_0_2359,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Ozero__class_Ozero(X3) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1031]) ).

fof(c_0_2360,axiom,
    ! [X5] : c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1032 ).

fof(c_0_2361,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1033]) ).

fof(c_0_2362,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1034]) ).

fof(c_0_2363,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1035]) ).

fof(c_0_2364,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(X5,X2),tc_RealDef_Oreal),
    c_0_1036 ).

fof(c_0_2365,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1037]) ).

fof(c_0_2366,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oone__class_Oone(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1038]) ).

fof(c_0_2367,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oone__class_Oone(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1039]) ).

fof(c_0_2368,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1040]) ).

fof(c_0_2369,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1041]) ).

fof(c_0_2370,plain,
    ! [X4,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X3),X4,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1042]) ).

fof(c_0_2371,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1043]) ).

fof(c_0_2372,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1044]) ).

fof(c_0_2373,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1045]) ).

fof(c_0_2374,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1046]) ).

fof(c_0_2375,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1047]) ).

fof(c_0_2376,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1048]) ).

fof(c_0_2377,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1049]) ).

fof(c_0_2378,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1050]) ).

fof(c_0_2379,plain,
    ! [X4,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X4,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1051]) ).

fof(c_0_2380,plain,
    ! [X1,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1052]) ).

fof(c_0_2381,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1053]) ).

fof(c_0_2382,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1054]) ).

fof(c_0_2383,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1055]) ).

fof(c_0_2384,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1056]) ).

fof(c_0_2385,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1057]) ).

fof(c_0_2386,plain,
    ! [X1,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1058]) ).

fof(c_0_2387,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1059]) ).

fof(c_0_2388,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1060]) ).

fof(c_0_2389,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3)
      | c_HOL_Oinverse__class_Odivide(X5,X5,X3) = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1061]) ).

fof(c_0_2390,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(X2,X2,X3) = c_HOL_Oone__class_Oone(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1062]) ).

fof(c_0_2391,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) = c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_1063]) ).

fof(c_0_2392,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_1064]) ).

fof(c_0_2393,axiom,
    ! [X9] :
      ( c_HOL_Oabs__class_Oabs(X9,tc_RealDef_Oreal) = X9
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_1065 ).

fof(c_0_2394,axiom,
    ! [X5] : c_Transcendental_Otan(X5) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X5),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),
    c_0_1066 ).

fof(c_0_2395,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1067]) ).

fof(c_0_2396,plain,
    ! [X1,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1068]) ).

fof(c_0_2397,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Odiv(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1069]) ).

fof(c_0_2398,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X2,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1070]) ).

fof(c_0_2399,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1071]) ).

fof(c_0_2400,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X5,X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_1072]) ).

fof(c_0_2401,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X2,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1073]) ).

fof(c_0_2402,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__mult(X3)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X3),X2,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1074]) ).

fof(c_0_2403,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__mult(X3)
      | c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1075]) ).

fof(c_0_2404,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1076]) ).

fof(c_0_2405,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1077]) ).

fof(c_0_2406,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1078]) ).

fof(c_0_2407,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1079]) ).

fof(c_0_2408,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X5,X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_1080]) ).

fof(c_0_2409,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1081]) ).

fof(c_0_2410,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X2,X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1082]) ).

fof(c_0_2411,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1083]) ).

fof(c_0_2412,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1084]) ).

fof(c_0_2413,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1085]) ).

fof(c_0_2414,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_1086]) ).

fof(c_0_2415,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X2,X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1087]) ).

fof(c_0_2416,plain,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1088]) ).

fof(c_0_2417,plain,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X5,X5,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1089]) ).

fof(c_0_2418,plain,
    ! [X2,X3] :
      ( ~ class_Divides_Osemiring__div(X3)
      | c_Divides_Odiv__class_Omod(X2,X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1090]) ).

fof(c_0_2419,axiom,
    ! [X2] : c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X2)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1091 ).

fof(c_0_2420,axiom,
    ! [X5] :
      ( c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X5),X5,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1092 ).

fof(c_0_2421,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Oinverse__class_Oinverse(X1,X3)
      | X2 = X1
      | X1 = c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1093]) ).

fof(c_0_2422,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_RealVector_Odist__class_Odist(X5,X5,X3) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1094]) ).

fof(c_0_2423,plain,
    ! [X5,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X5,X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_1095]) ).

fof(c_0_2424,plain,
    ! [X5,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X5,X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_1096]) ).

fof(c_0_2425,plain,
    ! [X5,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | c_HOL_Otimes__class_Otimes(X5,X5,X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_1097]) ).

fof(c_0_2426,axiom,
    ! [X5] : c_lessequals(c_Transcendental_Osin(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_1098 ).

fof(c_0_2427,axiom,
    ! [X5] : c_lessequals(c_Transcendental_Ocos(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_1099 ).

fof(c_0_2428,plain,
    ! [X5,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X5,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1100]) ).

fof(c_0_2429,plain,
    ! [X5,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X5,X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1101]) ).

fof(c_0_2430,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3),X3) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1102]) ).

fof(c_0_2431,axiom,
    c_Transcendental_Otan(v_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(v_x),c_Transcendental_Ocos(v_x),tc_RealDef_Oreal),
    c_0_1103 ).

fof(c_0_2432,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1104 ).

fof(c_0_2433,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = c_RealVector_Onorm__class_Onorm(X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1105]) ).

fof(c_0_2434,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1106]) ).

fof(c_0_2435,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oabs__class_Oabs(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1107]) ).

fof(c_0_2436,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1108]) ).

fof(c_0_2437,plain,
    ! [X1,X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Oinverse__class_Oinverse(X1,X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_1109]) ).

fof(c_0_2438,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X9,X3),X3) = c_HOL_Oabs__class_Oabs(X9,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1110]) ).

fof(c_0_2439,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1111]) ).

fof(c_0_2440,axiom,
    ! [X6] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) = X6,
    c_0_1112 ).

fof(c_0_2441,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1113]) ).

fof(c_0_2442,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X5,X3),X3) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1114]) ).

fof(c_0_2443,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    c_0_1115 ).

fof(c_0_2444,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    c_0_1116 ).

fof(c_0_2445,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    c_0_1117 ).

fof(c_0_2446,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    c_0_1118 ).

fof(c_0_2447,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal),
    c_0_1119 ).

fof(c_0_2448,plain,
    ! [X4,X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(X5,X3) != c_RealVector_Oof__real(X4,X3)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_1120]) ).

fof(c_0_2449,plain,
    ! [X1,X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) != c_HOL_Ouminus__class_Ouminus(X1,X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_1121]) ).

fof(c_0_2450,plain,
    ! [X4,X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(X5,X3) != c_HOL_Ouminus__class_Ouminus(X4,X3)
      | X5 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_1122]) ).

fof(c_0_2451,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = X2
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1123]) ).

fof(c_0_2452,axiom,
    ! [X7] : c_lessequals(X7,X7,tc_RealDef_Oreal),
    c_0_1124 ).

fof(c_0_2453,plain,
    ! [X5,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(X5,X3) != c_HOL_Oone__class_Oone(X3)
      | X5 = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1125]) ).

fof(c_0_2454,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1126]) ).

fof(c_0_2455,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1127]) ).

fof(c_0_2456,plain,
    ! [X5,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X3),X3) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_1128]) ).

fof(c_0_2457,plain,
    ! [X1,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1129]) ).

fof(c_0_2458,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1130]) ).

fof(c_0_2459,plain,
    ! [X1,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_1131]) ).

fof(c_0_2460,axiom,
    ! [X5] : c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X5,tc_RealDef_Oreal),
    c_0_1132 ).

fof(c_0_2461,axiom,
    ! [X5] : c_Transcendental_Oln(X5) = c_Log_Olog(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X5),
    c_0_1133 ).

fof(c_0_2462,axiom,
    ! [X11,X12,X13,X14] :
      ( c_Complex_Ocomplex_OComplex(X14,X12) != c_Complex_Ocomplex_OComplex(X13,X11)
      | X14 = X13 ),
    c_0_1134 ).

fof(c_0_2463,axiom,
    ! [X11,X12,X13,X14] :
      ( c_Complex_Ocomplex_OComplex(X14,X12) != c_Complex_Ocomplex_OComplex(X13,X11)
      | X12 = X11 ),
    c_0_1135 ).

fof(c_0_2464,axiom,
    ! [X5] : c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X5),tc_RealDef_Oreal),
    c_0_1136 ).

fof(c_0_2465,axiom,
    ! [X5] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(X5,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X5),tc_RealDef_Oreal),
    c_0_1137 ).

fof(c_0_2466,axiom,
    ! [X5] : c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X5),tc_RealDef_Oreal),
    c_0_1138 ).

fof(c_0_2467,axiom,
    ! [X5] : c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X5),tc_RealDef_Oreal),
    c_0_1139 ).

fof(c_0_2468,axiom,
    ! [X5] : c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X5),tc_RealDef_Oreal),
    c_0_1140 ).

fof(c_0_2469,plain,
    ! [X5,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(X5,X3) != c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1141]) ).

fof(c_0_2470,axiom,
    ! [X4,X5] :
      ( c_Transcendental_Oexp(X5,tc_RealDef_Oreal) != c_Transcendental_Oexp(X4,tc_RealDef_Oreal)
      | X5 = X4 ),
    c_0_1142 ).

fof(c_0_2471,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(X5,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1143]) ).

fof(c_0_2472,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1144]) ).

fof(c_0_2473,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
      | c_HOL_Ozero__class_Ozero(X3) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_1145]) ).

fof(c_0_2474,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1146]) ).

fof(c_0_2475,plain,
    ! [X2,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1147]) ).

fof(c_0_2476,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1148]) ).

fof(c_0_2477,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(X5,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1149]) ).

fof(c_0_2478,plain,
    ! [X5,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(X5,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1150]) ).

fof(c_0_2479,plain,
    ! [X3] :
      ( ~ class_SEQ_Obanach(X3)
      | ~ class_RealVector_Oreal__normed__field(X3)
      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1151]) ).

fof(c_0_2480,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1152]) ).

fof(c_0_2481,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1153]) ).

fof(c_0_2482,plain,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(X2,X3) != X2
      | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1154]) ).

fof(c_0_2483,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1155]) ).

fof(c_0_2484,axiom,
    ! [X5] :
      ( c_Transcendental_Osin(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X5),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_1156 ).

fof(c_0_2485,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1157]) ).

fof(c_0_2486,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1158]) ).

fof(c_0_2487,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1159]) ).

fof(c_0_2488,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1160]) ).

fof(c_0_2489,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1161]) ).

fof(c_0_2490,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1162]) ).

fof(c_0_2491,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1163]) ).

fof(c_0_2492,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1164]) ).

fof(c_0_2493,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Osgn__if(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1165]) ).

fof(c_0_2494,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1166]) ).

fof(c_0_2495,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1167]) ).

fof(c_0_2496,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1168]) ).

fof(c_0_2497,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1169]) ).

fof(c_0_2498,axiom,
    ! [X5] : c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X5),
    c_0_1170 ).

fof(c_0_2499,axiom,
    ! [X2] : c_Complex_Ocis(X2) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X2)),
    c_0_1171 ).

fof(c_0_2500,axiom,
    ! [X1,X2] :
      ( c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1172 ).

fof(c_0_2501,axiom,
    ! [X1,X2] :
      ( c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_1173 ).

fof(c_0_2502,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X3),X3) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1174]) ).

fof(c_0_2503,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1175]) ).

fof(c_0_2504,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3) = c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1176]) ).

fof(c_0_2505,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1177]) ).

fof(c_0_2506,axiom,
    ! [X5] : c_Transcendental_Oln(c_Transcendental_Oexp(X5,tc_RealDef_Oreal)) = X5,
    c_0_1178 ).

fof(c_0_2507,axiom,
    ! [X36] : c_Transcendental_Oln(c_Transcendental_Oexp(X36,tc_RealDef_Oreal)) = X36,
    c_0_1179 ).

fof(c_0_2508,axiom,
    ! [X4] : c_Transcendental_Oln(c_Transcendental_Oexp(X4,tc_RealDef_Oreal)) = X4,
    c_0_1180 ).

fof(c_0_2509,axiom,
    ! [X5] :
      ( c_Transcendental_Oexp(X5,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1181 ).

fof(c_0_2510,axiom,
    ! [X4,X5] :
      ( c_Complex_Ocomplex_OComplex(X5,X4) != c_Complex_Oii
      | X4 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_1182 ).

fof(c_0_2511,axiom,
    ! [X4,X5] :
      ( c_Complex_Ocomplex_OComplex(X5,X4) != c_Complex_Oii
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1183 ).

fof(c_0_2512,axiom,
    ! [X5,X2] : c_Log_Opowr(X5,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1184 ).

fof(c_0_2513,axiom,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    c_0_1185 ).

fof(c_0_2514,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_1186 ).

fof(c_0_2515,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    c_0_1187 ).

fof(c_0_2516,axiom,
    c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
    c_0_1188 ).

fof(c_0_2517,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | c_HOL_Oone__class_Oone(X3) != c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1189]) ).

fof(c_0_2518,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | c_HOL_Ozero__class_Ozero(X3) != c_HOL_Oone__class_Oone(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1190]) ).

fof(c_0_2519,axiom,
    ! [X5] : c_Transcendental_Ocos(c_Transcendental_Oarctan(X5)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1191 ).

fof(c_0_2520,axiom,
    ! [X2] : c_Log_Olog(X2,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1192 ).

fof(c_0_2521,axiom,
    ! [X5] : c_Log_Opowr(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1193 ).

fof(c_0_2522,axiom,
    ! [X2] : c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1194 ).

fof(c_0_2523,axiom,
    c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1195 ).

fof(c_0_2524,axiom,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1196 ).

fof(c_0_2525,axiom,
    c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1197 ).

fof(c_0_2526,axiom,
    ! [X5] :
      ( c_Transcendental_Ocos(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | c_Transcendental_Osin(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1198 ).

fof(c_0_2527,axiom,
    ! [X4,X5] :
      ( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X4)
      | X5 = X4 ),
    c_0_1199 ).

fof(c_0_2528,axiom,
    ! [X5,X3] : c_Fun_Oid(X5,X3) = X5,
    c_0_1200 ).

fof(c_0_2529,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_1201 ).

fof(c_0_2530,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_1202 ).

fof(c_0_2531,axiom,
    c_Fun_Oid(v_x,t_a) = v_x,
    c_0_1203 ).

fof(c_0_2532,axiom,
    ! [X4] : c_Transcendental_Otan(c_Transcendental_Oarctan(X4)) = X4,
    c_0_1204 ).

fof(c_0_2533,axiom,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1205 ).

fof(c_0_2534,axiom,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1206 ).

fof(c_0_2535,axiom,
    c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1207 ).

fof(c_0_2536,axiom,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1208 ).

fof(c_0_2537,axiom,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1209 ).

fof(c_0_2538,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1210 ).

fof(c_0_2539,axiom,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1211 ).

fof(c_0_2540,axiom,
    c_Complex_Ocis(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_1212 ).

fof(c_0_2541,axiom,
    ( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | v_x != c_Transcendental_Opi ),
    c_0_1213 ).

fof(c_0_2542,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_1214 ).

fof(c_0_2543,axiom,
    c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1215 ).

fof(c_0_2544,axiom,
    c_Transcendental_Ocos(c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1216 ).

fof(c_0_2545,axiom,
    c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1217 ).

fof(c_0_2546,axiom,
    c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1218 ).

fof(c_0_2547,axiom,
    c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_1219 ).

fof(c_0_2548,axiom,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    c_0_1220 ).

fof(c_0_2549,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    c_0_1221 ).

fof(c_0_2550,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    c_0_1222 ).

fof(c_0_2551,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    c_0_1223 ).

fof(c_0_2552,axiom,
    class_RealVector_Odist__norm(tc_Complex_Ocomplex),
    c_0_1224 ).

fof(c_0_2553,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    c_0_1225 ).

fof(c_0_2554,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    c_0_1226 ).

fof(c_0_2555,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    c_0_1227 ).

fof(c_0_2556,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    c_0_1228 ).

fof(c_0_2557,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    c_0_1229 ).

fof(c_0_2558,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    c_0_1230 ).

fof(c_0_2559,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    c_0_1231 ).

fof(c_0_2560,axiom,
    class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex),
    c_0_1232 ).

fof(c_0_2561,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    c_0_1233 ).

fof(c_0_2562,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    c_0_1234 ).

fof(c_0_2563,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    c_0_1235 ).

fof(c_0_2564,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    c_0_1236 ).

fof(c_0_2565,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    c_0_1237 ).

fof(c_0_2566,axiom,
    class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex),
    c_0_1238 ).

fof(c_0_2567,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    c_0_1239 ).

fof(c_0_2568,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    c_0_1240 ).

fof(c_0_2569,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    c_0_1241 ).

fof(c_0_2570,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    c_0_1242 ).

fof(c_0_2571,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    c_0_1243 ).

fof(c_0_2572,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    c_0_1244 ).

fof(c_0_2573,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    c_0_1245 ).

fof(c_0_2574,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    c_0_1246 ).

fof(c_0_2575,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    c_0_1247 ).

fof(c_0_2576,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    c_0_1248 ).

fof(c_0_2577,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    c_0_1249 ).

fof(c_0_2578,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    c_0_1250 ).

fof(c_0_2579,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    c_0_1251 ).

fof(c_0_2580,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    c_0_1252 ).

fof(c_0_2581,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    c_0_1253 ).

fof(c_0_2582,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    c_0_1254 ).

fof(c_0_2583,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    c_0_1255 ).

fof(c_0_2584,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    c_0_1256 ).

fof(c_0_2585,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    c_0_1257 ).

fof(c_0_2586,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    c_0_1258 ).

fof(c_0_2587,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    c_0_1259 ).

fof(c_0_2588,axiom,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    c_0_1260 ).

fof(c_0_2589,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    c_0_1261 ).

fof(c_0_2590,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    c_0_1262 ).

fof(c_0_2591,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    c_0_1263 ).

fof(c_0_2592,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    c_0_1264 ).

fof(c_0_2593,axiom,
    class_RealVector_Odist__norm(tc_RealDef_Oreal),
    c_0_1265 ).

fof(c_0_2594,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    c_0_1266 ).

fof(c_0_2595,axiom,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    c_0_1267 ).

fof(c_0_2596,axiom,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    c_0_1268 ).

fof(c_0_2597,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    c_0_1269 ).

fof(c_0_2598,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    c_0_1270 ).

fof(c_0_2599,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    c_0_1271 ).

fof(c_0_2600,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    c_0_1272 ).

fof(c_0_2601,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    c_0_1273 ).

fof(c_0_2602,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    c_0_1274 ).

fof(c_0_2603,axiom,
    class_RealVector_Osgn__div__norm(tc_RealDef_Oreal),
    c_0_1275 ).

fof(c_0_2604,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    c_0_1276 ).

fof(c_0_2605,axiom,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    c_0_1277 ).

fof(c_0_2606,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    c_0_1278 ).

fof(c_0_2607,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    c_0_1279 ).

fof(c_0_2608,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    c_0_1280 ).

fof(c_0_2609,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    c_0_1281 ).

fof(c_0_2610,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    c_0_1282 ).

fof(c_0_2611,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    c_0_1283 ).

fof(c_0_2612,axiom,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    c_0_1284 ).

fof(c_0_2613,axiom,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    c_0_1285 ).

fof(c_0_2614,axiom,
    class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal),
    c_0_1286 ).

fof(c_0_2615,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    c_0_1287 ).

fof(c_0_2616,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    c_0_1288 ).

fof(c_0_2617,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    c_0_1289 ).

fof(c_0_2618,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    c_0_1290 ).

fof(c_0_2619,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    c_0_1291 ).

fof(c_0_2620,axiom,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    c_0_1292 ).

fof(c_0_2621,axiom,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    c_0_1293 ).

fof(c_0_2622,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    c_0_1294 ).

fof(c_0_2623,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    c_0_1295 ).

fof(c_0_2624,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    c_0_1296 ).

fof(c_0_2625,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    c_0_1297 ).

fof(c_0_2626,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    c_0_1298 ).

fof(c_0_2627,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    c_0_1299 ).

fof(c_0_2628,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    c_0_1300 ).

fof(c_0_2629,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    c_0_1301 ).

fof(c_0_2630,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    c_0_1302 ).

fof(c_0_2631,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    c_0_1303 ).

fof(c_0_2632,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    c_0_1304 ).

fof(c_0_2633,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    c_0_1305 ).

fof(c_0_2634,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    c_0_1306 ).

fof(c_0_2635,axiom,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    c_0_1307 ).

fof(c_0_2636,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    c_0_1308 ).

fof(c_0_2637,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    c_0_1309 ).

fof(c_0_2638,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    c_0_1310 ).

fof(c_0_2639,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    c_0_1311 ).

fof(c_0_2640,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    c_0_1312 ).

fof(c_0_2641,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    c_0_1313 ).

fof(c_0_2642,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    c_0_1314 ).

fof(c_0_2643,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_1315 ).

fof(c_0_2644,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    c_0_1316 ).

fof(c_0_2645,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    c_0_1317 ).

fof(c_0_2646,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    c_0_1318 ).

fof(c_0_2647,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    c_0_1319 ).

fof(c_0_2648,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_1320 ).

fof(c_0_2649,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    c_0_1321 ).

fof(c_0_2650,axiom,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    c_0_1322 ).

fof(c_0_2651,axiom,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    c_0_1323 ).

fof(c_0_2652,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    c_0_1324 ).

fof(c_0_2653,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    c_0_1325 ).

fof(c_0_2654,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    c_0_1326 ).

fof(c_0_2655,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_1327 ).

fof(c_0_2656,plain,
    ! [X43,X44,X45,X46,X47,X48,X49] :
      ( ~ class_Ring__and__Field_Olordered__ring(X49)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X47,X49),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X43,X49),X49),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X46,X49),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X43,X49),X49),X49),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X47,X49),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X44,X49),X49),X49),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X49),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X44,X49),X49),X49),c_HOL_Otimes__class_Otimes(X48,X45,X49),X49)
      | ~ c_lessequals(X45,X43,X49)
      | ~ c_lessequals(X44,X45,X49)
      | ~ c_lessequals(X48,X46,X49)
      | ~ c_lessequals(X47,X48,X49) ),
    inference(variable_rename,[status(thm)],[c_0_1328]) ).

fof(c_0_2657,plain,
    ! [X43,X44,X45,X46,X47,X48,X49] :
      ( ~ class_Ring__and__Field_Olordered__ring(X49)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X48,X45,X49),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X49),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X43,X49),X49),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X47,X49),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X43,X49),X49),X49),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X46,X49),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X44,X49),X49),X49),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X47,X49),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X44,X49),X49),X49),X49)
      | ~ c_lessequals(X45,X43,X49)
      | ~ c_lessequals(X44,X45,X49)
      | ~ c_lessequals(X48,X46,X49)
      | ~ c_lessequals(X47,X48,X49) ),
    inference(variable_rename,[status(thm)],[c_0_1329]) ).

fof(c_0_2658,plain,
    ! [X38,X39,X40] : c_HOL_Ominus__class_Ominus(hAPP(X38,X40),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X38,X39),hAPP(X38,X40),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X39,X40,tc_RealDef_Oreal),tc_RealDef_Oreal),X40,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X38,X39),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X38,X39),hAPP(X38,X40),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X39,X40,tc_RealDef_Oreal),tc_RealDef_Oreal),X39,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1330]) ).

fof(c_0_2659,plain,
    ! [X33,X34,X35,X36] : c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X34,X33,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X36,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X35,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X34,c_HOL_Ouminus__class_Ouminus(X36,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X33,c_HOL_Ouminus__class_Ouminus(X35,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1331]) ).

fof(c_0_2660,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ class_RealVector_Oreal__normed__algebra(X10)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X7,X6,X10),c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X7,X9,X10),c_HOL_Ominus__class_Ominus(X6,X8,X10),X10),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X7,X9,X10),X8,X10),X10),c_HOL_Otimes__class_Otimes(X9,c_HOL_Ominus__class_Ominus(X6,X8,X10),X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1332]) ).

fof(c_0_2661,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ class_RealVector_Oreal__normed__vector(X10)
      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X7,X6,X10),c_RealVector_OscaleR__class_OscaleR(X9,X8,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X7,X9,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X6,X8,X10),X10),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X7,X9,tc_RealDef_Oreal),X8,X10),X10),c_RealVector_OscaleR__class_OscaleR(X9,c_HOL_Ominus__class_Ominus(X6,X8,X10),X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1333]) ).

fof(c_0_2662,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X20)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X17,X16,X20),X20),X20),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X19,X17,X20),X20),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X18,X16,X20),X20),X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1334]) ).

fof(c_0_2663,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X17,X16,X20),X20),X20),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X19,X17,X20),X20),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X18,X16,X20),X20),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1335]) ).

fof(c_0_2664,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__field(X21)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X20,X19,X21),c_HOL_Otimes__class_Otimes(X18,X17,X21),X21),X16,X21) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X20,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X19,X17,X21),X16,X21),X21),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X20,X18,X21),X16,X21),X17,X21),X21) ),
    inference(variable_rename,[status(thm)],[c_0_1336]) ).

fof(c_0_2665,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__field(X14)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X13,X14),c_HOL_Oinverse__class_Oinverse(X12,X14),X14),X11,X14) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X13,X14),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X13,X12,X14),X11,X14),X14),c_HOL_Oinverse__class_Oinverse(X12,X14),X14),X14)
      | X12 = c_HOL_Ozero__class_Ozero(X14)
      | X13 = c_HOL_Ozero__class_Ozero(X14) ),
    inference(variable_rename,[status(thm)],[c_0_1337]) ).

fof(c_0_2666,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39)
      | ~ c_HOL_Oord__class_Oless(X36,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X37,X38,X39),X34,X39),X35,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1338]) ).

fof(c_0_2667,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X38,X37,X39),X34,X39),X36,X39),X35,X39) ),
    inference(variable_rename,[status(thm)],[c_0_1339]) ).

fof(c_0_2668,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X38,X37,X39),X34,X39),X36,X39),X35,X39) ),
    inference(variable_rename,[status(thm)],[c_0_1340]) ).

fof(c_0_2669,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39)
      | ~ c_lessequals(X36,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X37,X38,X39),X34,X39),X35,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1341]) ).

fof(c_0_2670,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_HOL_Oord__class_Oless(X36,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X37,X38,X39),X34,X39),X35,X39),X39)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1342]) ).

fof(c_0_2671,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X38,X37,X39),X34,X39),X36,X39),X35,X39)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1343]) ).

fof(c_0_2672,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X38,X37,X39),X34,X39),X36,X39),X35,X39)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1344]) ).

fof(c_0_2673,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Opordered__ring(X39)
      | c_lessequals(X36,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X37,X38,X39),X34,X39),X35,X39),X39)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1345]) ).

fof(c_0_2674,plain,
    ! [X6] :
      ( c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1346]) ).

fof(c_0_2675,plain,
    ! [X6,X7] :
      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X7),c_Transcendental_Oarctan(X6),tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1347]) ).

fof(c_0_2676,plain,
    ! [X6,X7] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1348]) ).

fof(c_0_2677,plain,
    ! [X6,X7] : c_lessequals(X7,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1349]) ).

fof(c_0_2678,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_1350]) ).

fof(c_0_2679,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,c_Divides_Odiv__class_Odiv(X11,X10,X12),X12),c_Divides_Odiv__class_Omod(X11,X10,X12),X12),X9,X12) = c_HOL_Oplus__class_Oplus(X11,X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1351]) ).

fof(c_0_2680,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X11,X10,X12),X10,X12),c_Divides_Odiv__class_Omod(X11,X10,X12),X12),X9,X12) = c_HOL_Oplus__class_Oplus(X11,X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1352]) ).

fof(c_0_2681,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oring(X38)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X38),X35,X38) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X36,X34,X38),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X37,X36,X38),X34,X38),X35,X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_1353]) ).

fof(c_0_2682,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oring(X38)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X38),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X36,X37,X38),X34,X38),X35,X38),X38) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X36,X34,X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_1354]) ).

fof(c_0_2683,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ominus__class_Ominus(X5,X4,X6),X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1355]) ).

fof(c_0_2684,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X10,X9,X12),c_HOL_Oinverse__class_Odivide(X11,X8,X12),X12) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X8,X12),c_HOL_Otimes__class_Otimes(X11,X9,X12),X12),c_HOL_Otimes__class_Otimes(X9,X8,X12),X12)
      | X8 = c_HOL_Ozero__class_Ozero(X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1356]) ).

fof(c_0_2685,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X10,X9,X12),c_HOL_Oinverse__class_Odivide(X11,X8,X12),X12) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X10,X8,X12),c_HOL_Otimes__class_Otimes(X11,X9,X12),X12),c_HOL_Otimes__class_Otimes(X9,X8,X12),X12)
      | X8 = c_HOL_Ozero__class_Ozero(X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1357]) ).

fof(c_0_2686,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | X7 = c_HOL_Ozero__class_Ozero(X8)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8),c_HOL_Ozero__class_Ozero(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1358]) ).

fof(c_0_2687,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8),c_HOL_Ozero__class_Ozero(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1359]) ).

fof(c_0_2688,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8),c_HOL_Ozero__class_Ozero(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1360]) ).

fof(c_0_2689,plain,
    ! [X45,X46,X47,X48] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X45,c_HOL_Oinverse__class_Oinverse(X47,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X48,c_HOL_Oinverse__class_Oinverse(X46,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X46,X45,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X47,X48,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X46,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X47,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1361]) ).

fof(c_0_2690,plain,
    ! [X45,X46,X47,X48] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X47,tc_RealDef_Oreal),X45,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X46,tc_RealDef_Oreal),X48,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X46,X45,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X47,X48,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X46,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X47,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1362]) ).

fof(c_0_2691,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),c_Lattices_Olower__semilattice__class_Oinf(X9,X7,X10),X10),c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1363]) ).

fof(c_0_2692,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),c_Lattices_Oupper__semilattice__class_Osup(X9,X7,X10),X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1364]) ).

fof(c_0_2693,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Oring(X39)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39)
      | X36 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X37,X38,X39),X34,X39),X35,X39) ),
    inference(variable_rename,[status(thm)],[c_0_1365]) ).

fof(c_0_2694,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Oring(X39)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X38,X34,X39),X36,X39) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X39),X35,X39)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X38,X37,X39),X34,X39),X36,X39) = X35 ),
    inference(variable_rename,[status(thm)],[c_0_1366]) ).

fof(c_0_2695,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Osemiring(X38)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X37,X34,X38),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X36,X34,X38),X35,X38),X38) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X37,X36,X38),X34,X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_1367]) ).

fof(c_0_2696,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oidom(X12)
      | ~ class_Int_Onumber__ring(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X8,X12),X12) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X11,X8,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12)
      | X9 = X8
      | X11 = X10 ),
    inference(variable_rename,[status(thm)],[c_0_1368]) ).

fof(c_0_2697,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oidom(X20)
      | ~ class_Int_Onumber__ring(X20)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X16,X20),X20) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X16,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | X17 = X16
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_1369]) ).

fof(c_0_2698,plain,
    ! [X39,X40,X41] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X39,X41,tc_RealDef_Oreal),X39,tc_RealDef_Oreal),tc_RealDef_Oreal),X40,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X41,tc_RealDef_Oreal),X40,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1370]) ).

fof(c_0_2699,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__idom(X13)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X12,X13),X13),X11,X13)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Oplus__class_Oplus(X12,X11,X13),X13)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X12,X11,X13),X10,X13) ),
    inference(variable_rename,[status(thm)],[c_0_1371]) ).

fof(c_0_2700,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1372]) ).

fof(c_0_2701,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1373]) ).

fof(c_0_2702,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1374]) ).

fof(c_0_2703,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1375]) ).

fof(c_0_2704,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1376]) ).

fof(c_0_2705,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1377]) ).

fof(c_0_2706,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1378]) ).

fof(c_0_2707,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1379]) ).

fof(c_0_2708,plain,
    ! [X6,X7] :
      ( c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X7),c_Transcendental_Otan(X6),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X7),c_Transcendental_Otan(X6),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X6) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X7) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1380]) ).

fof(c_0_2709,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X11,X9,X12),c_Divides_Odiv__class_Omod(X10,X9,X12),X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1381]) ).

fof(c_0_2710,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Oring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X11,X9,X12),c_Divides_Odiv__class_Omod(X10,X9,X12),X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1382]) ).

fof(c_0_2711,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X11,X9,X12),c_Divides_Odiv__class_Omod(X10,X9,X12),X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1383]) ).

fof(c_0_2712,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1384]) ).

fof(c_0_2713,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1385]) ).

fof(c_0_2714,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X6),c_HOL_Oone__class_Oone(X6),X6),X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1386]) ).

fof(c_0_2715,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X6),c_HOL_Oone__class_Oone(X6),X6),X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1387]) ).

fof(c_0_2716,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X9,X11,X12),c_HOL_Oinverse__class_Odivide(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Otimes__class_Otimes(X11,X10,X12),X12)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1388]) ).

fof(c_0_2717,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X9,X11,X12),c_HOL_Oinverse__class_Odivide(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Otimes__class_Otimes(X11,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1389]) ).

fof(c_0_2718,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X9,X11,X12),c_HOL_Oinverse__class_Odivide(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Otimes__class_Otimes(X11,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1390]) ).

fof(c_0_2719,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X9,X11,X12),c_HOL_Oinverse__class_Odivide(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Otimes__class_Otimes(X11,X10,X12),X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1391]) ).

fof(c_0_2720,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_1392]) ).

fof(c_0_2721,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Ometric__space(X9)
      | c_lessequals(c_RealVector_Odist__class_Odist(X7,X6,X9),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X8,X7,X9),c_RealVector_Odist__class_Odist(X8,X6,X9),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1393]) ).

fof(c_0_2722,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_RealVector_Ometric__space(X10)
      | c_lessequals(c_RealVector_Odist__class_Odist(X9,X8,X10),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X9,X7,X10),c_RealVector_Odist__class_Odist(X8,X7,X10),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1394]) ).

fof(c_0_2723,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_RealVector_Ometric__space(X10)
      | c_lessequals(c_RealVector_Odist__class_Odist(X9,X7,X10),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X9,X8,X10),c_RealVector_Odist__class_Odist(X8,X7,X10),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1395]) ).

fof(c_0_2724,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( ~ class_Divides_Oring__div(X26)
      | c_Divides_Odiv__class_Omod(X23,X21,X26) != c_Divides_Odiv__class_Omod(X22,X21,X26)
      | c_Divides_Odiv__class_Omod(X25,X21,X26) != c_Divides_Odiv__class_Omod(X24,X21,X26)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X25,X23,X26),X21,X26) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X24,X22,X26),X21,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1396]) ).

fof(c_0_2725,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( ~ class_Divides_Osemiring__div(X26)
      | c_Divides_Odiv__class_Omod(X23,X21,X26) != c_Divides_Odiv__class_Omod(X22,X21,X26)
      | c_Divides_Odiv__class_Omod(X25,X21,X26) != c_Divides_Odiv__class_Omod(X24,X21,X26)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X25,X23,X26),X21,X26) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X24,X22,X26),X21,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1397]) ).

fof(c_0_2726,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( ~ class_Divides_Osemiring__div(X26)
      | c_Divides_Odiv__class_Omod(X23,X21,X26) != c_Divides_Odiv__class_Omod(X22,X21,X26)
      | c_Divides_Odiv__class_Omod(X25,X21,X26) != c_Divides_Odiv__class_Omod(X24,X21,X26)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X25,X23,X26),X21,X26) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X24,X22,X26),X21,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1398]) ).

fof(c_0_2727,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ class_RealVector_Oreal__normed__algebra(X26)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X23,X22,X26),X26),c_HOL_Otimes__class_Otimes(X25,X24,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X22,X26),X24,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X23,X26),X25,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1399]) ).

fof(c_0_2728,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ class_RealVector_Oreal__normed__vector(X26)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X23,X22,X26),X26),c_HOL_Oplus__class_Oplus(X25,X24,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X22,X26),X24,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X23,X26),X25,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1400]) ).

fof(c_0_2729,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X30)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X29,X28,X30),c_HOL_Otimes__class_Otimes(X27,X26,X30),X30) = c_HOL_Otimes__class_Otimes(X29,c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X30),X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1401]) ).

fof(c_0_2730,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X30)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X29,X28,X30),c_HOL_Otimes__class_Otimes(X27,X26,X30),X30) = c_HOL_Otimes__class_Otimes(X27,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X29,X28,X30),X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1402]) ).

fof(c_0_2731,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X16,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1403]) ).

fof(c_0_2732,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X16,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1404]) ).

fof(c_0_2733,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X8,X12),c_HOL_Oinverse__class_Odivide(X9,X11,X12),X12)
      | ~ c_lessequals(X11,X8,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | ~ c_lessequals(X10,X9,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1405]) ).

fof(c_0_2734,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X8,X12),c_HOL_Oinverse__class_Odivide(X9,X11,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X8,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | ~ c_lessequals(X10,X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1406]) ).

fof(c_0_2735,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X16,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1407]) ).

fof(c_0_2736,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X16,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1408]) ).

fof(c_0_2737,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X16,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1409]) ).

fof(c_0_2738,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X8,X12),c_HOL_Oinverse__class_Odivide(X9,X11,X12),X12)
      | ~ c_lessequals(X11,X8,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(X10,X9,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1410]) ).

fof(c_0_2739,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X16,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1411]) ).

fof(c_0_2740,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__idom(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X19,X20),c_HOL_Oabs__class_Oabs(X18,X20),X20),c_HOL_Otimes__class_Otimes(X17,X16,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X18,X20),X16,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X19,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1412]) ).

fof(c_0_2741,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__idom(X13)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Oplus__class_Oplus(X12,X11,X13),X13)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X12,X13),X13),X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_1413]) ).

fof(c_0_2742,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__idom(X13)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X12,X11,X13),X10,X13)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X12,X13),X13),X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_1414]) ).

fof(c_0_2743,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8),X8)
      | X7 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_1415]) ).

fof(c_0_2744,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8),X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_1416]) ).

fof(c_0_2745,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1417]) ).

fof(c_0_2746,plain,
    ! [X6,X7] :
      ( c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X7),c_Transcendental_Otan(X6),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X6) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X7) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1418]) ).

fof(c_0_2747,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1419]) ).

fof(c_0_2748,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1420]) ).

fof(c_0_2749,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1421]) ).

fof(c_0_2750,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1422]) ).

fof(c_0_2751,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1423]) ).

fof(c_0_2752,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1424]) ).

fof(c_0_2753,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1425]) ).

fof(c_0_2754,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1426]) ).

fof(c_0_2755,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1427]) ).

fof(c_0_2756,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1428]) ).

fof(c_0_2757,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1429]) ).

fof(c_0_2758,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1430]) ).

fof(c_0_2759,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1431]) ).

fof(c_0_2760,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1432]) ).

fof(c_0_2761,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1433]) ).

fof(c_0_2762,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1434]) ).

fof(c_0_2763,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X10,X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1435]) ).

fof(c_0_2764,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1436]) ).

fof(c_0_2765,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_lessequals(X10,X11,X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1437]) ).

fof(c_0_2766,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_lessequals(X11,X10,X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1438]) ).

fof(c_0_2767,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X12)
      | c_lessequals(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1439]) ).

fof(c_0_2768,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X12)
      | c_lessequals(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1440]) ).

fof(c_0_2769,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1441]) ).

fof(c_0_2770,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1442]) ).

fof(c_0_2771,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1443]) ).

fof(c_0_2772,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1444]) ).

fof(c_0_2773,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1445]) ).

fof(c_0_2774,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1446])])]) ).

fof(c_0_2775,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ominus__class_Ominus(X4,X5,X6),X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1447]) ).

fof(c_0_2776,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oplus__class_Oplus(X5,X4,X6),X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1448]) ).

fof(c_0_2777,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1449]) ).

fof(c_0_2778,plain,
    ! [X6,X7] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1450]) ).

fof(c_0_2779,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oplus__class_Oplus(X7,c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X9,c_HOL_Otimes__class_Otimes(X7,X8,X10),X10),X8,X10)
      | X8 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1451]) ).

fof(c_0_2780,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X7,X10) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X9,c_HOL_Otimes__class_Otimes(X7,X8,X10),X10),X8,X10)
      | X8 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1452]) ).

fof(c_0_2781,plain,
    ! [X7,X8,X9] :
      ( c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1453]) ).

fof(c_0_2782,plain,
    ! [X7,X8,X9] :
      ( c_lessequals(X9,X8,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X9,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1454]) ).

fof(c_0_2783,plain,
    ! [X7,X8,X9] :
      ( c_lessequals(X9,X8,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,X9,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1455]) ).

fof(c_0_2784,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1456]) ).

fof(c_0_2785,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1457]) ).

fof(c_0_2786,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Oidom(X19)
      | ~ class_Int_Onumber__ring(X19)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X17,X19),c_HOL_Otimes__class_Otimes(X16,X18,X19),X19) ),
    inference(variable_rename,[status(thm)],[c_0_1458]) ).

fof(c_0_2787,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oidom(X10)
      | ~ class_Int_Onumber__ring(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X8,X10),c_HOL_Otimes__class_Otimes(X9,X7,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X7,X10),c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1459]) ).

fof(c_0_2788,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X9,X12),c_HOL_Oinverse__class_Odivide(X8,X11,X12),X12) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X10,X8,X12),c_HOL_Otimes__class_Otimes(X9,X11,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1460]) ).

fof(c_0_2789,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X11,c_HOL_Otimes__class_Otimes(X10,X9,X12),X12),X10,X12) = c_HOL_Oplus__class_Oplus(X9,c_Divides_Odiv__class_Odiv(X11,X10,X12),X12)
      | X10 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1461]) ).

fof(c_0_2790,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X11,c_HOL_Otimes__class_Otimes(X9,X10,X12),X12),X10,X12) = c_HOL_Oplus__class_Oplus(X9,c_Divides_Odiv__class_Odiv(X11,X10,X12),X12)
      | X10 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1462]) ).

fof(c_0_2791,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1463]) ).

fof(c_0_2792,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X10,X11,X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1464]) ).

fof(c_0_2793,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1465]) ).

fof(c_0_2794,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X10,X11,X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1466]) ).

fof(c_0_2795,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Oring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X11,c_Divides_Odiv__class_Omod(X10,X9,X12),X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1467]) ).

fof(c_0_2796,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Oring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X11,X9,X12),X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1468]) ).

fof(c_0_2797,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X11,X9,X12),X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1469]) ).

fof(c_0_2798,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X11,c_Divides_Odiv__class_Omod(X10,X9,X12),X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1470]) ).

fof(c_0_2799,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Oab__group__add(X20)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X19,X18,X20),c_HOL_Ominus__class_Ominus(X17,X16,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1471]) ).

fof(c_0_2800,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X11,X9,X12),X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1472]) ).

fof(c_0_2801,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,c_Divides_Odiv__class_Omod(X10,X9,X12),X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1473]) ).

fof(c_0_2802,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X17,X16,X20),X20) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1474]) ).

fof(c_0_2803,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X11,X9,X12),X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X11,X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1475]) ).

fof(c_0_2804,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X30)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X29,X28,X30),c_HOL_Otimes__class_Otimes(X27,X26,X30),X30) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X29,X27,X30),c_HOL_Otimes__class_Otimes(X28,X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1476]) ).

fof(c_0_2805,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X11,X9,X12),X10,X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1477]) ).

fof(c_0_2806,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,c_Divides_Odiv__class_Omod(X10,X9,X12),X12),X9,X12) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1478]) ).

fof(c_0_2807,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X10,X11,X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1479]) ).

fof(c_0_2808,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(X10,X11,X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1480]) ).

fof(c_0_2809,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oidom(X20)
      | ~ class_Int_Onumber__ring(X20)
      | c_HOL_Oplus__class_Oplus(X16,c_HOL_Otimes__class_Otimes(X17,X19,X20),X20) != c_HOL_Oplus__class_Oplus(X16,c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | X19 = X18
      | X17 = c_HOL_Ozero__class_Ozero(X20) ),
    inference(variable_rename,[status(thm)],[c_0_1481]) ).

fof(c_0_2810,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1482]) ).

fof(c_0_2811,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1483]) ).

fof(c_0_2812,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1484]) ).

fof(c_0_2813,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1485]) ).

fof(c_0_2814,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1486]) ).

fof(c_0_2815,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1487]) ).

fof(c_0_2816,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1488]) ).

fof(c_0_2817,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1489]) ).

fof(c_0_2818,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X7,X10)
      | ~ c_lessequals(X9,c_HOL_Otimes__class_Otimes(X7,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1490]) ).

fof(c_0_2819,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,X8,X10),X9,X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1491]) ).

fof(c_0_2820,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,X8,X10),X9,X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1492]) ).

fof(c_0_2821,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X7,X10)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Otimes__class_Otimes(X7,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1493]) ).

fof(c_0_2822,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1494]) ).

fof(c_0_2823,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1495]) ).

fof(c_0_2824,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Olordered__ring(X6)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1496]) ).

fof(c_0_2825,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1497]) ).

fof(c_0_2826,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(X19,c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_lessequals(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1498]) ).

fof(c_0_2827,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X7,X6,X8),X8),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X7,X8),c_RealVector_Onorm__class_Onorm(X6,X8),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1499]) ).

fof(c_0_2828,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1500]) ).

fof(c_0_2829,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1501]) ).

fof(c_0_2830,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__algebra(X8)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X7,X6,X8),X8),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X7,X8),c_RealVector_Onorm__class_Onorm(X6,X8),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1502]) ).

fof(c_0_2831,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1503]) ).

fof(c_0_2832,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X6),X6,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X7),X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1504]) ).

fof(c_0_2833,plain,
    ! [X6,X7,X8] :
      ( c_Log_Olog(X8,X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X7),c_Transcendental_Oln(X8),tc_RealDef_Oreal),c_Log_Olog(X7,X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X7 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | X8 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1505]) ).

fof(c_0_2834,plain,
    ! [X6,X7,X8] :
      ( c_Log_Olog(X8,c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Log_Olog(X8,X7),c_Log_Olog(X8,X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | X8 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1506]) ).

fof(c_0_2835,plain,
    ! [X6,X7,X8] :
      ( c_Log_Olog(X8,c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Log_Olog(X8,X7),c_Log_Olog(X8,X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | X8 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1507]) ).

fof(c_0_2836,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X5,X4,X6),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X5,X4,X6),X4,X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1508]) ).

fof(c_0_2837,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,c_Divides_Odiv__class_Odiv(X5,X4,X6),X6),c_Divides_Odiv__class_Omod(X5,X4,X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1509]) ).

fof(c_0_2838,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X5,X4,X6),X4,X6),c_Divides_Odiv__class_Omod(X5,X4,X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1510]) ).

fof(c_0_2839,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | X5 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X5,X4,X6),X4,X6),c_Divides_Odiv__class_Omod(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1511]) ).

fof(c_0_2840,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X8,X7),c_Log_Olog(X8,X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1512])])]) ).

fof(c_0_2841,plain,
    ! [X6,X7,X8] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Log_Olog(X8,X7),c_Log_Olog(X8,X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1513])])]) ).

fof(c_0_2842,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1514]) ).

fof(c_0_2843,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X9,X11,X12),c_HOL_Oplus__class_Oplus(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1515]) ).

fof(c_0_2844,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_lessequals(X11,X10,X12)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X9,X11,X12),c_HOL_Oplus__class_Oplus(X9,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1516]) ).

fof(c_0_2845,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_lessequals(X11,X10,X12)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1517]) ).

fof(c_0_2846,plain,
    ! [X6] :
      ( c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1518]) ).

fof(c_0_2847,plain,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
    c_0_1519 ).

fof(c_0_2848,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X12)
      | c_lessequals(X11,c_HOL_Oplus__class_Oplus(X9,c_HOL_Oabs__class_Oabs(X10,X12),X12),X12)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1520]) ).

fof(c_0_2849,plain,
    ! [X6,X7] :
      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X7),c_Transcendental_Otan(X6),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X6) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_Transcendental_Ocos(X7) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1521]) ).

fof(c_0_2850,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__vector(X12)
      | X10 = c_HOL_Ozero__class_Ozero(X12)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X10,X12),c_HOL_Otimes__class_Otimes(X11,c_RealVector_Onorm__class_Onorm(X9,X12),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1522]) ).

fof(c_0_2851,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),c_HOL_Oinverse__class_Odivide(X11,X9,X12),X12)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1523]) ).

fof(c_0_2852,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X11,X9,X12),c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1524]) ).

fof(c_0_2853,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1525]) ).

fof(c_0_2854,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1526]) ).

fof(c_0_2855,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1527]) ).

fof(c_0_2856,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1528]) ).

fof(c_0_2857,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1529]) ).

fof(c_0_2858,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1530]) ).

fof(c_0_2859,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1531]) ).

fof(c_0_2860,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1532]) ).

fof(c_0_2861,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1533]) ).

fof(c_0_2862,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1534]) ).

fof(c_0_2863,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1535]) ).

fof(c_0_2864,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_lessequals(X10,X11,X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1536]) ).

fof(c_0_2865,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_lessequals(X11,X10,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1537]) ).

fof(c_0_2866,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X11,X9,X12),c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1538]) ).

fof(c_0_2867,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X11,X9,X12),c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1539]) ).

fof(c_0_2868,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Opordered__ring(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1540]) ).

fof(c_0_2869,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Opordered__ring(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | ~ c_lessequals(X10,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1541]) ).

fof(c_0_2870,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Omult__mono(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1542]) ).

fof(c_0_2871,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Omult__mono(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1543]) ).

fof(c_0_2872,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Omult__mono1(X12)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1544]) ).

fof(c_0_2873,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__idom(X8)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X6,X7,X8),X7,X8)
      | ~ c_lessequals(X6,c_HOL_Oone__class_Oone(X8),X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1545]) ).

fof(c_0_2874,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__idom(X8)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X7,X6,X8),X7,X8)
      | ~ c_lessequals(X6,c_HOL_Oone__class_Oone(X8),X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1546]) ).

fof(c_0_2875,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(c_Log_Olog(X8,X7),c_Log_Olog(X8,X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1547]) ).

fof(c_0_2876,plain,
    ! [X6,X7,X8] :
      ( c_lessequals(c_Log_Olog(X8,X7),c_Log_Olog(X8,X6),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1548]) ).

fof(c_0_2877,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1549]) ).

fof(c_0_2878,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1550]) ).

fof(c_0_2879,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1551]) ).

fof(c_0_2880,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1552]) ).

fof(c_0_2881,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1553]) ).

fof(c_0_2882,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1554]) ).

fof(c_0_2883,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1555]) ).

fof(c_0_2884,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X20)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1556]) ).

fof(c_0_2885,plain,
    ! [X9,X10,X11] :
      ( X10 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X11,c_HOL_Oabs__class_Oabs(X9,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1557])])]) ).

fof(c_0_2886,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8) != c_HOL_Ozero__class_Ozero(X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_1558]) ).

fof(c_0_2887,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8) != c_HOL_Ozero__class_Ozero(X8)
      | X7 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_1559]) ).

fof(c_0_2888,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X11,X10,X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1560]) ).

fof(c_0_2889,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) = c_HOL_Otimes__class_Otimes(X9,c_Divides_Odiv__class_Omod(X11,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1561]) ).

fof(c_0_2890,plain,
    ! [X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__normed__field(X30)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X29,X28,X30),X27,X30) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X29,X27,X30),c_HOL_Oinverse__class_Odivide(X28,X27,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1562]) ).

fof(c_0_2891,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X11,X9,X12),c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1563]) ).

fof(c_0_2892,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,c_HOL_Otimes__class_Otimes(X9,X10,X12),X12),X10,X12) = c_Divides_Odiv__class_Omod(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1564]) ).

fof(c_0_2893,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,c_HOL_Otimes__class_Otimes(X10,X9,X12),X12),X10,X12) = c_Divides_Odiv__class_Omod(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1565]) ).

fof(c_0_2894,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__vector(X22)
      | c_RealVector_OscaleR__class_OscaleR(X21,c_HOL_Oplus__class_Oplus(X20,X19,X22),X22) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X21,X20,X22),c_RealVector_OscaleR__class_OscaleR(X21,X19,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1566]) ).

fof(c_0_2895,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,c_HOL_Oplus__class_Oplus(X7,X6,X9),X9) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X8,X7,X9),c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1567]) ).

fof(c_0_2896,plain,
    ! [X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__normed__algebra(X30)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X29,X28,X30),X27,X30) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X29,X27,X30),c_HOL_Otimes__class_Otimes(X28,X27,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1568]) ).

fof(c_0_2897,plain,
    ! [X21,X22,X23,X24] :
      ( ~ class_RealVector_Oreal__normed__algebra(X24)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X22,X24),X21,X24) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X23,X21,X24),c_HOL_Otimes__class_Otimes(X22,X21,X24),X24) ),
    inference(variable_rename,[status(thm)],[c_0_1569]) ).

fof(c_0_2898,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | c_HOL_Otimes__class_Otimes(X21,c_HOL_Ominus__class_Ominus(X20,X19,X22),X22) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X21,X20,X22),c_HOL_Otimes__class_Otimes(X21,X19,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1570]) ).

fof(c_0_2899,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__normed__algebra(X23)
      | c_HOL_Otimes__class_Otimes(X21,c_HOL_Ominus__class_Ominus(X22,X20,X23),X23) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X21,X22,X23),c_HOL_Otimes__class_Otimes(X21,X20,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_1571]) ).

fof(c_0_2900,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X12)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X12),X9,X12) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1572]) ).

fof(c_0_2901,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X12)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X12),X12) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X10,X12),c_HOL_Oplus__class_Oplus(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1573]) ).

fof(c_0_2902,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X12),X12) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X10,X12),c_HOL_Oplus__class_Oplus(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1574]) ).

fof(c_0_2903,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X12),X9,X12) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1575]) ).

fof(c_0_2904,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X9,X12) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1576]) ).

fof(c_0_2905,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X9,X12),X12) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X10,X12),c_HOL_Oplus__class_Oplus(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1577]) ).

fof(c_0_2906,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X12)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X9,X12),X12) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X10,X12),c_HOL_Oplus__class_Oplus(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1578]) ).

fof(c_0_2907,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X12)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X12),X9,X12) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1579]) ).

fof(c_0_2908,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Odistrib__lattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X10) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),c_Lattices_Olower__semilattice__class_Oinf(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1580]) ).

fof(c_0_2909,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Odistrib__lattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X9,X10) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X8,X9,X10),c_Lattices_Olower__semilattice__class_Oinf(X7,X9,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1581]) ).

fof(c_0_2910,plain,
    ! [X31,X32,X33,X34] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X34)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X33,X31,X34),c_HOL_Otimes__class_Otimes(X32,X31,X34),X34) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X33,X32,X34),X31,X34) ),
    inference(variable_rename,[status(thm)],[c_0_1582]) ).

fof(c_0_2911,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X12)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1583]) ).

fof(c_0_2912,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X8,X10),c_HOL_Otimes__class_Otimes(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1584]) ).

fof(c_0_2913,plain,
    ! [X21,X22,X23,X24] :
      ( ~ class_RealVector_Oreal__normed__algebra(X24)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X23,X22,X24),X21,X24) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X21,X24),c_HOL_Otimes__class_Otimes(X22,X21,X24),X24) ),
    inference(variable_rename,[status(thm)],[c_0_1585]) ).

fof(c_0_2914,plain,
    ! [X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__normed__algebra(X30)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X29,X28,X30),X27,X30) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X27,X30),c_HOL_Otimes__class_Otimes(X28,X27,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1586]) ).

fof(c_0_2915,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | c_HOL_Otimes__class_Otimes(X21,c_HOL_Oplus__class_Oplus(X20,X19,X22),X22) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X21,X20,X22),c_HOL_Otimes__class_Otimes(X21,X19,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1587]) ).

fof(c_0_2916,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__normed__algebra(X23)
      | c_HOL_Otimes__class_Otimes(X21,c_HOL_Oplus__class_Oplus(X22,X20,X23),X23) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X21,X22,X23),c_HOL_Otimes__class_Otimes(X21,X20,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_1588]) ).

fof(c_0_2917,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1589]) ).

fof(c_0_2918,plain,
    ! [X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__normed__field(X30)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X29,X28,X30),X27,X30) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X29,X27,X30),c_HOL_Oinverse__class_Odivide(X28,X27,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1590]) ).

fof(c_0_2919,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X11,X10,X12),X9,X12) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X11,X9,X12),c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1591]) ).

fof(c_0_2920,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__vector(X22)
      | c_RealVector_OscaleR__class_OscaleR(X21,c_HOL_Ominus__class_Ominus(X20,X19,X22),X22) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X21,X20,X22),c_RealVector_OscaleR__class_OscaleR(X21,X19,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1592]) ).

fof(c_0_2921,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,c_HOL_Ominus__class_Ominus(X7,X6,X9),X9) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X8,X7,X9),c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1593]) ).

fof(c_0_2922,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Odistrib__lattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X9,X10) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X10),c_Lattices_Oupper__semilattice__class_Osup(X7,X9,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1594]) ).

fof(c_0_2923,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Odistrib__lattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),c_Lattices_Oupper__semilattice__class_Osup(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1595]) ).

fof(c_0_2924,plain,
    ! [X21,X22,X23,X24] :
      ( ~ class_RealVector_Oreal__normed__vector(X24)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X23,X22,tc_RealDef_Oreal),X21,X24) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X23,X21,X24),c_RealVector_OscaleR__class_OscaleR(X22,X21,X24),X24) ),
    inference(variable_rename,[status(thm)],[c_0_1596]) ).

fof(c_0_2925,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__vector(X23)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X22,X20,tc_RealDef_Oreal),X21,X23) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X22,X21,X23),c_RealVector_OscaleR__class_OscaleR(X20,X21,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_1597]) ).

fof(c_0_2926,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X8,X7,tc_RealDef_Oreal),X6,X9) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),c_RealVector_OscaleR__class_OscaleR(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1598]) ).

fof(c_0_2927,plain,
    ! [X21,X22,X23,X24] :
      ( ~ class_RealVector_Oreal__normed__vector(X24)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X23,X22,tc_RealDef_Oreal),X21,X24) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X23,X21,X24),c_RealVector_OscaleR__class_OscaleR(X22,X21,X24),X24) ),
    inference(variable_rename,[status(thm)],[c_0_1599]) ).

fof(c_0_2928,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__vector(X23)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X22,X20,tc_RealDef_Oreal),X21,X23) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X22,X21,X23),c_RealVector_OscaleR__class_OscaleR(X20,X21,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_1600]) ).

fof(c_0_2929,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X8,X7,tc_RealDef_Oreal),X6,X9) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),c_RealVector_OscaleR__class_OscaleR(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1601]) ).

fof(c_0_2930,plain,
    ! [X7,X8,X9] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1602]) ).

fof(c_0_2931,plain,
    ! [X7,X8,X9] :
      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,X9,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1603]) ).

fof(c_0_2932,plain,
    ! [X7,X8,X9] :
      ( c_lessequals(c_HOL_Otimes__class_Otimes(X9,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X9,X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1604]) ).

fof(c_0_2933,plain,
    ! [X7,X8,X9] :
      ( c_lessequals(c_HOL_Otimes__class_Otimes(X7,X9,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X9,X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1605]) ).

fof(c_0_2934,plain,
    ! [X6] : c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1606]) ).

fof(c_0_2935,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1607]) ).

fof(c_0_2936,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X4,X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1608]) ).

fof(c_0_2937,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1609]) ).

fof(c_0_2938,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1610]) ).

fof(c_0_2939,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1611]) ).

fof(c_0_2940,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1612]) ).

fof(c_0_2941,plain,
    ! [X6,X7] :
      ( c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X6),X7),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X7,X7),X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1613]) ).

fof(c_0_2942,plain,
    ! [X6,X7] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1614])])]) ).

fof(c_0_2943,plain,
    ! [X6,X7] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1615]) ).

fof(c_0_2944,plain,
    ! [X6,X7] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X7),c_Transcendental_Osin(X6),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1616]) ).

fof(c_0_2945,plain,
    ! [X6,X7] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X6),c_Transcendental_Osin(X7),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X6),c_Transcendental_Ocos(X7),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1617]) ).

fof(c_0_2946,plain,
    ! [X6,X7] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X7),c_Transcendental_Osin(X6),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1618]) ).

fof(c_0_2947,plain,
    ! [X6,X7] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X7),c_Transcendental_Osin(X6),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1619]) ).

fof(c_0_2948,plain,
    ! [X6,X7] : c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X6),c_Transcendental_Ocos(X7),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X6),c_Transcendental_Osin(X7),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1620]) ).

fof(c_0_2949,plain,
    ! [X6,X7] : c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X7),c_Transcendental_Osin(X6),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1621]) ).

fof(c_0_2950,plain,
    ! [X30,X31,X32] : c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X31,X30,tc_RealDef_Oreal),X32,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X31,X32,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X30,X32,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1622]) ).

fof(c_0_2951,plain,
    ! [X37,X38,X39,X40,X41] :
      ( ~ class_OrderedGroup_Oab__group__add(X41)
      | c_HOL_Oplus__class_Oplus(X39,c_HOL_Oplus__class_Oplus(X38,X37,X41),X41) != c_HOL_Oplus__class_Oplus(X38,X40,X41)
      | c_HOL_Oplus__class_Oplus(X39,X37,X41) = X40 ),
    inference(variable_rename,[status(thm)],[c_0_1623]) ).

fof(c_0_2952,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1624]) ).

fof(c_0_2953,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1625]) ).

fof(c_0_2954,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1626]) ).

fof(c_0_2955,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1627]) ).

fof(c_0_2956,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1628]) ).

fof(c_0_2957,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1629]) ).

fof(c_0_2958,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1630]) ).

fof(c_0_2959,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1631]) ).

fof(c_0_2960,plain,
    ! [X6,X7,X8] :
      ( c_Log_Opowr(c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X7,X8),c_Log_Opowr(X6,X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1632])])]) ).

fof(c_0_2961,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1633]) ).

fof(c_0_2962,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1634]) ).

fof(c_0_2963,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1635]) ).

fof(c_0_2964,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1636]) ).

fof(c_0_2965,plain,
    ! [X6,X7,X8] :
      ( c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X7,X8),c_Log_Opowr(X6,X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1637])])]) ).

fof(c_0_2966,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1638]) ).

fof(c_0_2967,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1639]) ).

fof(c_0_2968,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1640]) ).

fof(c_0_2969,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1641]) ).

fof(c_0_2970,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1642]) ).

fof(c_0_2971,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1643]) ).

fof(c_0_2972,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1644]) ).

fof(c_0_2973,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__field(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X12),X11,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
      | c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X12),X12)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1645]) ).

fof(c_0_2974,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1646]) ).

fof(c_0_2975,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1647]) ).

fof(c_0_2976,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1648]) ).

fof(c_0_2977,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1649]) ).

fof(c_0_2978,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1650]) ).

fof(c_0_2979,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1651]) ).

fof(c_0_2980,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1652]) ).

fof(c_0_2981,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1653]) ).

fof(c_0_2982,plain,
    ! [X6,X7] :
      ( c_lessequals(c_Transcendental_Oln(X6),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X6,X7),X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1654]) ).

fof(c_0_2983,plain,
    ! [X37,X38] : c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X38,X38,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X37,X37,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1655]) ).

fof(c_0_2984,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Oring__div(X6)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X5,X4,X6),X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1656]) ).

fof(c_0_2985,plain,
    ! [X36,X37] :
      ( c_HOL_Oord__class_Oless(X36,X37,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X37,c_HOL_Ouminus__class_Ouminus(X36,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1657]) ).

fof(c_0_2986,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X12)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X10,X12),X12),c_HOL_Oinverse__class_Oinverse(X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal)
      | ~ c_lessequals(X11,c_RealVector_Onorm__class_Onorm(X10,X12),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1658]) ).

fof(c_0_2987,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1659]) ).

fof(c_0_2988,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1660]) ).

fof(c_0_2989,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1661]) ).

fof(c_0_2990,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1662]) ).

fof(c_0_2991,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1663]) ).

fof(c_0_2992,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1664]) ).

fof(c_0_2993,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1665]) ).

fof(c_0_2994,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1666]) ).

fof(c_0_2995,plain,
    ! [X6] :
      ( c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)),X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1667]) ).

fof(c_0_2996,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1668]) ).

fof(c_0_2997,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X7,X6,X8),c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1669]) ).

fof(c_0_2998,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X7,X6,X8),c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1670]) ).

fof(c_0_2999,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X4,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1671]) ).

fof(c_0_3000,plain,
    ! [X46,X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X48)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X48),c_HOL_Otimes__class_Otimes(X47,X46,X48),X48)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X48),X46,X48)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X48),X47,X48) ),
    inference(variable_rename,[status(thm)],[c_0_1672]) ).

fof(c_0_3001,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1673]) ).

fof(c_0_3002,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1674]) ).

fof(c_0_3003,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1675]) ).

fof(c_0_3004,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X4,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1676]) ).

fof(c_0_3005,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1677]) ).

fof(c_0_3006,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1678]) ).

fof(c_0_3007,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1679]) ).

fof(c_0_3008,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1680]) ).

fof(c_0_3009,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1681]) ).

fof(c_0_3010,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1682]) ).

fof(c_0_3011,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1683]) ).

fof(c_0_3012,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oinverse__class_Odivide(X7,X6,X8),X8)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1684]) ).

fof(c_0_3013,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oinverse__class_Odivide(X7,X6,X8),X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1685]) ).

fof(c_0_3014,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oinverse__class_Odivide(X7,X6,X8),X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1686]) ).

fof(c_0_3015,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oinverse__class_Odivide(X7,X6,X8),X8)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1687]) ).

fof(c_0_3016,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1688]) ).

fof(c_0_3017,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1689]) ).

fof(c_0_3018,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1690]) ).

fof(c_0_3019,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__ring(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1691]) ).

fof(c_0_3020,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__ring(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1692]) ).

fof(c_0_3021,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Opordered__ring(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1693]) ).

fof(c_0_3022,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1694]) ).

fof(c_0_3023,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1695]) ).

fof(c_0_3024,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1696]) ).

fof(c_0_3025,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1697]) ).

fof(c_0_3026,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X7,X6,X8),c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1698]) ).

fof(c_0_3027,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X7,X6,X8),c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1699]) ).

fof(c_0_3028,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1700]) ).

fof(c_0_3029,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1701]) ).

fof(c_0_3030,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1702]) ).

fof(c_0_3031,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X6,X8),c_Log_Opowr(X7,X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1703]) ).

fof(c_0_3032,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X7,X8),c_Log_Opowr(X6,X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1704]) ).

fof(c_0_3033,plain,
    ! [X6,X7,X8] :
      ( c_lessequals(c_Log_Opowr(X7,X8),c_Log_Opowr(X6,X8),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1705]) ).

fof(c_0_3034,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1706])])]) ).

fof(c_0_3035,plain,
    ! [X6,X7] :
      ( c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1707])])]) ).

fof(c_0_3036,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1708]) ).

fof(c_0_3037,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1709]) ).

fof(c_0_3038,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X9,X11,X12),c_HOL_Oplus__class_Oplus(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1710]) ).

fof(c_0_3039,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X9,X11,X12),c_HOL_Oplus__class_Oplus(X9,X10,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1711]) ).

fof(c_0_3040,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X12)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X9,X11,X12),c_HOL_Oplus__class_Oplus(X9,X10,X12),X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1712]) ).

fof(c_0_3041,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X12)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1713]) ).

fof(c_0_3042,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X9,X11,X12),c_HOL_Oplus__class_Oplus(X9,X10,X12),X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1714]) ).

fof(c_0_3043,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X9,X12),c_HOL_Oplus__class_Oplus(X10,X9,X12),X12)
      | ~ c_lessequals(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1715]) ).

fof(c_0_3044,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1716]) ).

fof(c_0_3045,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1717]) ).

fof(c_0_3046,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1718]) ).

fof(c_0_3047,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1719]) ).

fof(c_0_3048,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X12)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Oplus__class_Oplus(X11,X9,X12),X12)
      | ~ c_lessequals(X10,X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1720]) ).

fof(c_0_3049,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X12)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Oplus__class_Oplus(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X9,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1721]) ).

fof(c_0_3050,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X12)
      | c_lessequals(X10,c_HOL_Oplus__class_Oplus(X11,X9,X12),X12)
      | ~ c_lessequals(X10,X9,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1722]) ).

fof(c_0_3051,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X12)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X12)
      | c_lessequals(X10,c_HOL_Oplus__class_Oplus(X11,X9,X12),X12)
      | ~ c_lessequals(X10,X11,X12)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1723]) ).

fof(c_0_3052,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X6),c_Transcendental_Ocos(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1724]) ).

fof(c_0_3053,plain,
    ! [X6,X7] :
      ( c_lessequals(c_Transcendental_Ocos(X6),c_Transcendental_Ocos(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1725]) ).

fof(c_0_3054,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1726]) ).

fof(c_0_3055,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X12)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Oplus__class_Oplus(X11,X9,X12),X12)
      | ~ c_HOL_Oord__class_Oless(X10,X9,X12)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1727]) ).

fof(c_0_3056,plain,
    ! [X6,X7] :
      ( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X7),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1728]) ).

fof(c_0_3057,plain,
    ! [X6,X7] :
      ( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X7),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1729]) ).

fof(c_0_3058,plain,
    ! [X7,X8,X9] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X7,X9,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X9,X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1730]) ).

fof(c_0_3059,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) = c_HOL_Oinverse__class_Odivide(X11,X10,X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1731]) ).

fof(c_0_3060,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) = c_HOL_Oinverse__class_Odivide(X11,X10,X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1732]) ).

fof(c_0_3061,plain,
    ! [X31,X32,X33] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X33)
      | c_HOL_Oplus__class_Oplus(X31,c_HOL_Otimes__class_Otimes(X32,X31,X33),X33) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X32,c_HOL_Oone__class_Oone(X33),X33),X31,X33) ),
    inference(variable_rename,[status(thm)],[c_0_1733]) ).

fof(c_0_3062,plain,
    ! [X31,X32,X33] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X33)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X32,X31,X33),X31,X33) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X32,c_HOL_Oone__class_Oone(X33),X33),X31,X33) ),
    inference(variable_rename,[status(thm)],[c_0_1734]) ).

fof(c_0_3063,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X7,X10)
      | ~ c_lessequals(X8,X7,X10)
      | ~ c_lessequals(X9,X7,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1735]) ).

fof(c_0_3064,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X9,X10)
      | ~ c_lessequals(X7,X9,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1736]) ).

fof(c_0_3065,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9)
      | ~ c_lessequals(X7,X6,X9)
      | ~ c_lessequals(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1737]) ).

fof(c_0_3066,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10)
      | ~ c_lessequals(X9,X7,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1738]) ).

fof(c_0_3067,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10)
      | ~ c_lessequals(X9,X7,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1739]) ).

fof(c_0_3068,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9)
      | ~ c_lessequals(X6,X7,X9)
      | ~ c_lessequals(X6,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1740]) ).

fof(c_0_3069,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X4,X5,X6),X4,X6) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X5,X4,X6),c_HOL_Oone__class_Oone(X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1741]) ).

fof(c_0_3070,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X5,X4,X6),X4,X6) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X5,X4,X6),c_HOL_Oone__class_Oone(X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1742]) ).

fof(c_0_3071,plain,
    ! [X21,X22,X23,X24] :
      ( ~ class_Divides_Oring__div(X24)
      | c_Divides_Odiv__class_Omod(X23,X21,X24) != c_Divides_Odiv__class_Omod(X22,X21,X24)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X23,X24),X21,X24) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X22,X24),X21,X24) ),
    inference(variable_rename,[status(thm)],[c_0_1743]) ).

fof(c_0_3072,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1744]) ).

fof(c_0_3073,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1745])])]) ).

fof(c_0_3074,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1746]) ).

fof(c_0_3075,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1747]) ).

fof(c_0_3076,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1748]) ).

fof(c_0_3077,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1749]) ).

fof(c_0_3078,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X7,X10) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X9,X7,X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1750]) ).

fof(c_0_3079,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X11,X9,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) = c_Divides_Odiv__class_Odiv(X11,X10,X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1751]) ).

fof(c_0_3080,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Divides_Osemiring__div(X12)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X9,X11,X12),c_HOL_Otimes__class_Otimes(X9,X10,X12),X12) = c_Divides_Odiv__class_Odiv(X11,X10,X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_1752]) ).

fof(c_0_3081,plain,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oln(X7),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1753]) ).

fof(c_0_3082,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X7),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1754]) ).

fof(c_0_3083,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1755]) ).

fof(c_0_3084,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(X4,X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1756]) ).

fof(c_0_3085,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(X4,X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1757]) ).

fof(c_0_3086,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1758]) ).

fof(c_0_3087,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1759]) ).

fof(c_0_3088,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_RealVector_Oreal__normed__vector(X47)
      | c_RealVector_OscaleR__class_OscaleR(X45,c_RealVector_OscaleR__class_OscaleR(X46,X44,X47),X47) = c_RealVector_OscaleR__class_OscaleR(X46,c_RealVector_OscaleR__class_OscaleR(X45,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_1760]) ).

fof(c_0_3089,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,c_RealVector_OscaleR__class_OscaleR(X7,X6,X9),X9) = c_RealVector_OscaleR__class_OscaleR(X7,c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1761]) ).

fof(c_0_3090,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_RealVector_OscaleR__class_OscaleR(X12,c_RealVector_OscaleR__class_OscaleR(X10,X11,X13),X13) = c_RealVector_OscaleR__class_OscaleR(X10,c_RealVector_OscaleR__class_OscaleR(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1762]) ).

fof(c_0_3091,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__field(X13)
      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X12,X11,X13),X10,X13) = c_RealVector_OscaleR__class_OscaleR(X12,c_HOL_Oinverse__class_Odivide(X11,X10,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1763]) ).

fof(c_0_3092,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X7,X10) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1764]) ).

fof(c_0_3093,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X10) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1765]) ).

fof(c_0_3094,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X7,X10) = c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1766]) ).

fof(c_0_3095,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X10),X10) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1767]) ).

fof(c_0_3096,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__algebra(X9)
      | c_HOL_Otimes__class_Otimes(X7,c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),X9) = c_RealVector_OscaleR__class_OscaleR(X8,c_HOL_Otimes__class_Otimes(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1768]) ).

fof(c_0_3097,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__algebra(X9)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X8,X7,X9),X6,X9) = c_RealVector_OscaleR__class_OscaleR(X8,c_HOL_Otimes__class_Otimes(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1769]) ).

fof(c_0_3098,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__normed__algebra(X23)
      | c_HOL_Otimes__class_Otimes(X20,c_RealVector_OscaleR__class_OscaleR(X22,X21,X23),X23) = c_RealVector_OscaleR__class_OscaleR(X22,c_HOL_Otimes__class_Otimes(X20,X21,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_1770]) ).

fof(c_0_3099,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_HOL_Otimes__class_Otimes(X12,c_RealVector_OscaleR__class_OscaleR(X10,X11,X13),X13) = c_RealVector_OscaleR__class_OscaleR(X10,c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1771]) ).

fof(c_0_3100,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X12,X11,X13),X10,X13) = c_RealVector_OscaleR__class_OscaleR(X12,c_HOL_Otimes__class_Otimes(X11,X10,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1772]) ).

fof(c_0_3101,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X10,X12,X13),X11,X13) = c_RealVector_OscaleR__class_OscaleR(X10,c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1773]) ).

fof(c_0_3102,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1774]) ).

fof(c_0_3103,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) = c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19) ),
    inference(variable_rename,[status(thm)],[c_0_1775]) ).

fof(c_0_3104,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X9,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1776]) ).

fof(c_0_3105,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) ),
    inference(variable_rename,[status(thm)],[c_0_1777]) ).

fof(c_0_3106,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1778]) ).

fof(c_0_3107,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_OrderedGroup_Oab__group__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1779]) ).

fof(c_0_3108,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X9,X8,X10),X7,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1780]) ).

fof(c_0_3109,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X12),X9,X12) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1781]) ).

fof(c_0_3110,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X12)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X9,X12),X12) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X11,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1782]) ).

fof(c_0_3111,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X6),c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1783]) ).

fof(c_0_3112,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Otimes__class_Otimes(X8,X7,X10),X10) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X9,X8,X10),X7,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1784]) ).

fof(c_0_3113,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X29)
      | c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X29),X29) = c_HOL_Otimes__class_Otimes(X27,c_HOL_Otimes__class_Otimes(X28,X26,X29),X29) ),
    inference(variable_rename,[status(thm)],[c_0_1785]) ).

fof(c_0_3114,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X29)
      | c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X29),X29) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X29),X26,X29) ),
    inference(variable_rename,[status(thm)],[c_0_1786]) ).

fof(c_0_3115,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X29)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X29),X26,X29) = c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X29),X29) ),
    inference(variable_rename,[status(thm)],[c_0_1787]) ).

fof(c_0_3116,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X29)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X29),X26,X29) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X26,X29),X27,X29) ),
    inference(variable_rename,[status(thm)],[c_0_1788]) ).

fof(c_0_3117,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X12)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X11,X10,X12),X9,X12) = c_HOL_Otimes__class_Otimes(X11,c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1789]) ).

fof(c_0_3118,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X7,X10) = c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1790]) ).

fof(c_0_3119,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) = c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1791]) ).

fof(c_0_3120,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X7,X10) = c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1792]) ).

fof(c_0_3121,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) = c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X9,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1793]) ).

fof(c_0_3122,plain,
    ! [X6] : ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X6,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1794]) ).

fof(c_0_3123,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1795]) ).

fof(c_0_3124,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1796]) ).

fof(c_0_3125,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1797]) ).

fof(c_0_3126,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1798]) ).

fof(c_0_3127,plain,
    ! [X6,X7] :
      ( c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1799]) ).

fof(c_0_3128,plain,
    ! [X6,X7] :
      ( c_lessequals(c_Transcendental_Oln(X7),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1800]) ).

fof(c_0_3129,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X7),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1801]) ).

fof(c_0_3130,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,c_RealVector_OscaleR__class_OscaleR(X7,X6,X9),X9) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1802]) ).

fof(c_0_3131,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(X5,X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1803]) ).

fof(c_0_3132,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(X5,X4,X6)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1804]) ).

fof(c_0_3133,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_lessequals(X4,X5,X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1805]) ).

fof(c_0_3134,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_lessequals(X4,X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1806]) ).

fof(c_0_3135,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(X4,X5,X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1807]) ).

fof(c_0_3136,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(X4,X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1808]) ).

fof(c_0_3137,plain,
    ! [X6,X7] : c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X7,c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1809]) ).

fof(c_0_3138,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X22)
      | c_HOL_Ominus__class_Ominus(X21,X19,X22) != c_HOL_Ominus__class_Ominus(X20,X18,X22)
      | c_lessequals(X18,X20,X22)
      | ~ c_lessequals(X19,X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1810]) ).

fof(c_0_3139,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X22)
      | c_HOL_Ominus__class_Ominus(X21,X19,X22) != c_HOL_Ominus__class_Ominus(X20,X18,X22)
      | c_lessequals(X19,X21,X22)
      | ~ c_lessequals(X18,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1811]) ).

fof(c_0_3140,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X22)
      | c_HOL_Ominus__class_Ominus(X21,X19,X22) != c_HOL_Ominus__class_Ominus(X20,X18,X22)
      | c_HOL_Oord__class_Oless(X20,X18,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X19,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1812]) ).

fof(c_0_3141,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X22)
      | c_HOL_Ominus__class_Ominus(X21,X19,X22) != c_HOL_Ominus__class_Ominus(X20,X18,X22)
      | c_HOL_Oord__class_Oless(X21,X19,X22)
      | ~ c_HOL_Oord__class_Oless(X20,X18,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1813]) ).

fof(c_0_3142,plain,
    ! [X6,X7] :
      ( c_lessequals(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1814]) ).

fof(c_0_3143,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1815]) ).

fof(c_0_3144,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_lessequals(X9,X7,X10)
      | ~ c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1816]) ).

fof(c_0_3145,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_lessequals(X9,X8,X10)
      | ~ c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1817]) ).

fof(c_0_3146,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(X6,X7,X9)
      | ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1818]) ).

fof(c_0_3147,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(X6,X8,X9)
      | ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1819]) ).

fof(c_0_3148,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(X8,X7,X10)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X7,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1820]) ).

fof(c_0_3149,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(X9,X7,X10)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X7,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1821]) ).

fof(c_0_3150,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(X7,X6,X9)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1822]) ).

fof(c_0_3151,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(X8,X6,X9)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1823]) ).

fof(c_0_3152,plain,
    ! [X10,X11] : c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X10,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X10,X10,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X11,X10,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1824]) ).

fof(c_0_3153,plain,
    ! [X30,X31,X32] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,tc_RealDef_Oreal),X30,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X31,X30,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1825]) ).

fof(c_0_3154,plain,
    ! [X6] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X6),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X6),c_Transcendental_Osin(X6),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1826]) ).

fof(c_0_3155,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__field(X8)
      | ~ class_Ring__and__Field_Odivision__by__zero(X8)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X7,X8),X6,X8) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X7,X6,X8),X8)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1827]) ).

fof(c_0_3156,plain,
    ! [X6,X7,X8] :
      ( c_lessequals(X8,X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1828]) ).

fof(c_0_3157,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(X8,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1829]) ).

fof(c_0_3158,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(X8,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1830]) ).

fof(c_0_3159,plain,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1831]) ).

fof(c_0_3160,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__idom(X8)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X8),X7,X8) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X7,X8),X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1832]) ).

fof(c_0_3161,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X4,X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1833]) ).

fof(c_0_3162,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1834]) ).

fof(c_0_3163,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X5,X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6)
      | ~ c_lessequals(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1835]) ).

fof(c_0_3164,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X5,X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6)
      | ~ c_lessequals(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1836]) ).

fof(c_0_3165,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X5,X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1837]) ).

fof(c_0_3166,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_HOL_Otimes__class_Otimes(X10,X8,X12) != c_HOL_Otimes__class_Otimes(X11,X9,X12)
      | X8 = c_HOL_Ozero__class_Ozero(X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12)
      | c_HOL_Oinverse__class_Odivide(X10,X9,X12) = c_HOL_Oinverse__class_Odivide(X11,X8,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1838]) ).

fof(c_0_3167,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_HOL_Oinverse__class_Odivide(X10,X9,X12) != c_HOL_Oinverse__class_Odivide(X11,X8,X12)
      | X8 = c_HOL_Ozero__class_Ozero(X12)
      | X9 = c_HOL_Ozero__class_Ozero(X12)
      | c_HOL_Otimes__class_Otimes(X10,X8,X12) = c_HOL_Otimes__class_Otimes(X11,X9,X12) ),
    inference(variable_rename,[status(thm)],[c_0_1839]) ).

fof(c_0_3168,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X8)
      | c_HOL_Oplus__class_Oplus(X7,X6,X8) != c_HOL_Ozero__class_Ozero(X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8)
      | X7 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_1840]) ).

fof(c_0_3169,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X8)
      | c_HOL_Oplus__class_Oplus(X7,X6,X8) != c_HOL_Ozero__class_Ozero(X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X6,X8)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_1841]) ).

fof(c_0_3170,plain,
    ! [X6,X7,X8] :
      ( c_Log_Olog(X8,c_Log_Opowr(X7,X6)) = c_HOL_Otimes__class_Otimes(X6,c_Log_Olog(X8,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1842])])]) ).

fof(c_0_3171,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X4,X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1843]) ).

fof(c_0_3172,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X4,X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1844]) ).

fof(c_0_3173,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X4,X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1845]) ).

fof(c_0_3174,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X4,X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1846]) ).

fof(c_0_3175,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1847]) ).

fof(c_0_3176,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_lessequals(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1848]) ).

fof(c_0_3177,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_1849]) ).

fof(c_0_3178,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1850]) ).

fof(c_0_3179,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1851]) ).

fof(c_0_3180,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_1852]) ).

fof(c_0_3181,plain,
    ! [X36,X37] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X37,c_HOL_Ouminus__class_Ouminus(X36,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X36,X37,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1853]) ).

fof(c_0_3182,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1854]) ).

fof(c_0_3183,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1855 ).

fof(c_0_3184,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X6) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1856]) ).

fof(c_0_3185,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1857]) ).

fof(c_0_3186,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1858]) ).

fof(c_0_3187,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1859]) ).

fof(c_0_3188,plain,
    ! [X10,X11] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal),X11,tc_RealDef_Oreal)
      | ~ c_lessequals(X10,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal),X10,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1860]) ).

fof(c_0_3189,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1861]) ).

fof(c_0_3190,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1862]) ).

fof(c_0_3191,plain,
    ! [X6,X7,X8] :
      ( c_lessequals(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1863]) ).

fof(c_0_3192,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X8,X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1864]) ).

fof(c_0_3193,plain,
    ! [X6,X7,X8] :
      ( c_HOL_Oord__class_Oless(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X8,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1865]) ).

fof(c_0_3194,plain,
    ! [X6,X7,X8] :
      ( c_lessequals(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1866]) ).

fof(c_0_3195,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_OrderedGroup_Oab__group__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) != X8
      | X9 = c_HOL_Ouminus__class_Ouminus(X7,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1867]) ).

fof(c_0_3196,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1868]) ).

fof(c_0_3197,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oone__class_Oone(X7),X6,X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1869]) ).

fof(c_0_3198,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),X6,X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1870]) ).

fof(c_0_3199,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1871]) ).

fof(c_0_3200,plain,
    ~ 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),
    c_0_1872 ).

fof(c_0_3201,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(X4,X4,X5),X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_1873]) ).

fof(c_0_3202,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1874]) ).

fof(c_0_3203,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(X4,X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_1875]) ).

fof(c_0_3204,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1876]) ).

fof(c_0_3205,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1877]) ).

fof(c_0_3206,plain,
    ! [X6,X7] :
      ( c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1878])])]) ).

fof(c_0_3207,plain,
    ! [X6,X7] :
      ( c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1879]) ).

fof(c_0_3208,plain,
    ! [X6,X7] :
      ( c_Transcendental_Oln(c_Log_Opowr(X7,X6)) = c_HOL_Otimes__class_Otimes(X6,c_Transcendental_Oln(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1880]) ).

fof(c_0_3209,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Ometric__space(X8)
      | X7 = X6
      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X7,X6,X8),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1881]) ).

fof(c_0_3210,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Ometric__space(X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X6,X6,X7),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1882]) ).

fof(c_0_3211,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Ometric__space(X8)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X7,X6,X8),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1883]) ).

fof(c_0_3212,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1884]) ).

fof(c_0_3213,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1885]) ).

fof(c_0_3214,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X6,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1886]) ).

fof(c_0_3215,plain,
    ! [X5] :
      ( c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X5),c_HOL_Ominus__class_Ominus(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1887]) ).

fof(c_0_3216,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1888]) ).

fof(c_0_3217,plain,
    ! [X6,X7] :
      ( c_Log_Olog(X7,c_HOL_Oinverse__class_Oinverse(X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X7,X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X7 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1889]) ).

fof(c_0_3218,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X6,X9)
      | ~ c_lessequals(X7,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1890]) ).

fof(c_0_3219,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X6,X9)
      | ~ c_lessequals(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1891]) ).

fof(c_0_3220,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_HOL_Oord__class_Oless(X6,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X9)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1892]) ).

fof(c_0_3221,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_HOL_Oord__class_Oless(X6,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X9)
      | ~ c_HOL_Oord__class_Oless(X6,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1893]) ).

fof(c_0_3222,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X6,X9)
      | ~ c_HOL_Oord__class_Oless(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1894]) ).

fof(c_0_3223,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X6,X9)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1895]) ).

fof(c_0_3224,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X9)
      | ~ c_lessequals(X6,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1896]) ).

fof(c_0_3225,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X9)
      | ~ c_lessequals(X6,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1897]) ).

fof(c_0_3226,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X4,X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1898]) ).

fof(c_0_3227,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1899]) ).

fof(c_0_3228,plain,
    ! [X31,X32] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X32)
      | c_HOL_Oplus__class_Oplus(X31,X31,X32) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X32),c_HOL_Oone__class_Oone(X32),X32),X31,X32) ),
    inference(variable_rename,[status(thm)],[c_0_1900]) ).

fof(c_0_3229,axiom,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_1901 ).

fof(c_0_3230,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X4,X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1902]) ).

fof(c_0_3231,plain,
    ! [X6,X7] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1903]) ).

fof(c_0_3232,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1904]) ).

fof(c_0_3233,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1905]) ).

fof(c_0_3234,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1906]) ).

fof(c_0_3235,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1907]) ).

fof(c_0_3236,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1908]) ).

fof(c_0_3237,plain,
    ! [X6,X7,X8] :
      ( ~ class_SEQ_Obanach(X8)
      | ~ class_RealVector_Oreal__normed__field(X8)
      | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X7,X6,X8),X8) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X7,X8),c_Transcendental_Oexp(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1909]) ).

fof(c_0_3238,plain,
    ! [X6,X7,X8] :
      ( ~ class_SEQ_Obanach(X8)
      | ~ class_RealVector_Oreal__normed__field(X8)
      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X7,X8),c_Transcendental_Oexp(X6,X8),X8) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1910]) ).

fof(c_0_3239,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1911]) ).

fof(c_0_3240,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Oinverse__class_Oinverse(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1912]) ).

fof(c_0_3241,plain,
    ! [X6,X7,X8] :
      ( ~ class_SEQ_Obanach(X8)
      | ~ class_RealVector_Oreal__normed__field(X8)
      | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X7,X6,X8),X8) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X7,X8),c_Transcendental_Oexp(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1913]) ).

fof(c_0_3242,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__div__algebra(X8)
      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X7,X6,X8),X8) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X7,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X6,X8),X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1914]) ).

fof(c_0_3243,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | ~ class_RealVector_Oreal__normed__field(X6)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1915]) ).

fof(c_0_3244,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1916]) ).

fof(c_0_3245,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1917]) ).

fof(c_0_3246,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1918]) ).

fof(c_0_3247,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1919]) ).

fof(c_0_3248,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | ~ class_RealVector_Oreal__algebra__1(X8)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X7,X8),c_RealVector_Oof__real(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1920]) ).

fof(c_0_3249,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | ~ class_RealVector_Oreal__algebra__1(X8)
      | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X7,X8),c_RealVector_Oof__real(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1921]) ).

fof(c_0_3250,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X8)
      | ~ class_RealVector_Oreal__field(X8)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X7,X8),c_RealVector_Oof__real(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1922]) ).

fof(c_0_3251,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X8)
      | ~ class_RealVector_Oreal__div__algebra(X8)
      | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X7,X6,X8),X8) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X7,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1923]) ).

fof(c_0_3252,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__field(X6)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1924]) ).

fof(c_0_3253,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__field(X8)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X7,X8),c_RealVector_Oof__real(X6,X8),X8)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1925]) ).

fof(c_0_3254,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_lessequals(X7,X9,X10)
      | ~ c_lessequals(X7,X8,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1926]) ).

fof(c_0_3255,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_HOL_Oord__class_Oless(X7,X9,X10)
      | ~ c_lessequals(X7,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1927]) ).

fof(c_0_3256,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_HOL_Oord__class_Oless(X7,X9,X10)
      | ~ c_HOL_Oord__class_Oless(X7,X8,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1928]) ).

fof(c_0_3257,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_lessequals(X9,X7,X10)
      | ~ c_lessequals(X8,X7,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1929]) ).

fof(c_0_3258,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_HOL_Oord__class_Oless(X9,X7,X10)
      | ~ c_lessequals(X8,X7,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1930]) ).

fof(c_0_3259,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_HOL_Oord__class_Oless(X9,X7,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X7,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1931]) ).

fof(c_0_3260,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_HOL_Oord__class_Oless(X9,X7,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X7,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1932]) ).

fof(c_0_3261,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_HOL_Oord__class_Oless(X7,X9,X10)
      | ~ c_HOL_Oord__class_Oless(X7,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1933]) ).

fof(c_0_3262,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Oab__group__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1934]) ).

fof(c_0_3263,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X4,X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1935]) ).

fof(c_0_3264,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X6),c_HOL_Osgn__class_Osgn(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1936]) ).

fof(c_0_3265,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X8)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X7,X6,X8),X8) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X7,X8),c_HOL_Osgn__class_Osgn(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1937]) ).

fof(c_0_3266,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Oab__group__add(X6)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1938]) ).

fof(c_0_3267,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X7,X8),c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1939]) ).

fof(c_0_3268,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X6) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1940]) ).

fof(c_0_3269,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1941]) ).

fof(c_0_3270,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X7,X8),c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1942]) ).

fof(c_0_3271,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1943]) ).

fof(c_0_3272,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X8)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X7,X6,X8),X8) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X7,X8),c_RealVector_Onorm__class_Onorm(X6,X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1944]) ).

fof(c_0_3273,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1945]) ).

fof(c_0_3274,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1946]) ).

fof(c_0_3275,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__vector(X12)
      | c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X11,X10,X12),X12) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X11,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1947]) ).

fof(c_0_3276,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__algebra__1(X8)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X7,X8),c_RealVector_Oof__real(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1948]) ).

fof(c_0_3277,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__algebra__1(X8)
      | c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X7,X8),c_RealVector_Oof__real(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1949]) ).

fof(c_0_3278,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__algebra__1(X8)
      | c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),X8) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X7,X8),c_RealVector_Oof__real(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1950]) ).

fof(c_0_3279,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X7,X6,X8),X8) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1951]) ).

fof(c_0_3280,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(X5,X4,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1952]) ).

fof(c_0_3281,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(X5,X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X4,X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1953]) ).

fof(c_0_3282,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1954]) ).

fof(c_0_3283,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1955]) ).

fof(c_0_3284,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1956]) ).

fof(c_0_3285,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1957]) ).

fof(c_0_3286,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X5,X4,X6),X4,X6) = c_Divides_Odiv__class_Omod(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1958]) ).

fof(c_0_3287,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X4,X6),X4,X6) = c_Divides_Odiv__class_Omod(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1959]) ).

fof(c_0_3288,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X6),X4,X6) = c_Divides_Odiv__class_Omod(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1960]) ).

fof(c_0_3289,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X8)
      | c_HOL_Otimes__class_Otimes(X7,c_HOL_Otimes__class_Otimes(X7,X6,X8),X8) = c_HOL_Otimes__class_Otimes(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1961]) ).

fof(c_0_3290,plain,
    ! [X6,X7,X8] : c_Log_Opowr(X6,c_HOL_Oplus__class_Oplus(X8,X7,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1962]) ).

fof(c_0_3291,plain,
    ! [X6,X7,X8] : c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X6,X8),c_Log_Opowr(X6,X7),tc_RealDef_Oreal) = c_Log_Opowr(X6,c_HOL_Ominus__class_Ominus(X8,X7,tc_RealDef_Oreal)),
    inference(variable_rename,[status(thm)],[c_0_1963]) ).

fof(c_0_3292,plain,
    ! [X6,X7] :
      ( c_Log_Opowr(X7,c_Log_Olog(X7,X6)) = X6
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X7 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1964]) ).

fof(c_0_3293,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6),X6) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_1965]) ).

fof(c_0_3294,plain,
    ! [X49,X50,X51] :
      ( c_lessequals(X51,X49,tc_RealDef_Oreal)
      | ~ c_lessequals(X50,X49,tc_RealDef_Oreal)
      | ~ c_lessequals(X51,X50,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1966]) ).

fof(c_0_3295,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1967]) ).

fof(c_0_3296,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1968]) ).

fof(c_0_3297,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6)
      | ~ c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1969]) ).

fof(c_0_3298,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1970]) ).

fof(c_0_3299,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1971]) ).

fof(c_0_3300,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1972]) ).

fof(c_0_3301,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1973]) ).

fof(c_0_3302,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X4,X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1974]) ).

fof(c_0_3303,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X4,X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1975]) ).

fof(c_0_3304,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1976]) ).

fof(c_0_3305,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1977]) ).

fof(c_0_3306,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1978]) ).

fof(c_0_3307,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1979]) ).

fof(c_0_3308,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1980]) ).

fof(c_0_3309,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1981]) ).

fof(c_0_3310,plain,
    ! [X6] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_1982]) ).

fof(c_0_3311,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Oinverse(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1983]) ).

fof(c_0_3312,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Oinverse(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1984]) ).

fof(c_0_3313,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1985]) ).

fof(c_0_3314,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1986]) ).

fof(c_0_3315,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1987]) ).

fof(c_0_3316,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Oinverse(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1988]) ).

fof(c_0_3317,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1989]) ).

fof(c_0_3318,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1990]) ).

fof(c_0_3319,plain,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1991]) ).

fof(c_0_3320,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__field(X8)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X7,X8),X6,X8) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1992]) ).

fof(c_0_3321,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_RealVector_OscaleR__class_OscaleR(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1993]) ).

fof(c_0_3322,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__vector(X8)
      | c_RealVector_OscaleR__class_OscaleR(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1994]) ).

fof(c_0_3323,plain,
    ! [X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | c_HOL_Otimes__class_Otimes(X20,c_HOL_Ouminus__class_Ouminus(X21,X22),X22) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X20,X21,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1995]) ).

fof(c_0_3324,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__algebra(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1996]) ).

fof(c_0_3325,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__algebra(X8)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X7,X8),X6,X8) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1997]) ).

fof(c_0_3326,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__algebra(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1998]) ).

fof(c_0_3327,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1999]) ).

fof(c_0_3328,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oring(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2000]) ).

fof(c_0_3329,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oring(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_2001]) ).

fof(c_0_3330,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,X6) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X5,X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_2002]) ).

fof(c_0_3331,plain,
    ! [X20,X21,X22] :
      ( ~ class_RealVector_Oreal__vector(X22)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X21,tc_RealDef_Oreal),X20,X22) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X21,X20,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_2003]) ).

fof(c_0_3332,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__vector(X8)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,X8) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2004]) ).

fof(c_0_3333,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2005]) ).

fof(c_0_3334,plain,
    ! [X4,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = c_HOL_Ouminus__class_Ouminus(X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2006]) ).

fof(c_0_3335,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2007]) ).

fof(c_0_3336,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2008]) ).

fof(c_0_3337,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2009]) ).

fof(c_0_3338,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Osgn__class_Osgn(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2010]) ).

fof(c_0_3339,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2011]) ).

fof(c_0_3340,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | c_lessequals(X6,X7,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2012]) ).

fof(c_0_3341,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_lessequals(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2013]) ).

fof(c_0_3342,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X4,X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2014]) ).

fof(c_0_3343,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2015]) ).

fof(c_0_3344,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2016]) ).

fof(c_0_3345,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2017]) ).

fof(c_0_3346,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2018]) ).

fof(c_0_3347,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2019]) ).

fof(c_0_3348,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Oinverse(X4,X5),X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2020]) ).

fof(c_0_3349,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Oinverse(X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2021]) ).

fof(c_0_3350,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2022]) ).

fof(c_0_3351,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2023]) ).

fof(c_0_3352,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oidom(X6)
      | c_HOL_Otimes__class_Otimes(X5,X5,X6) != c_HOL_Otimes__class_Otimes(X4,X4,X6)
      | X5 = c_HOL_Ouminus__class_Ouminus(X4,X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2024]) ).

fof(c_0_3353,plain,
    ! [X10,X11] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal),X10,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2025]) ).

fof(c_0_3354,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2026]) ).

fof(c_0_3355,plain,
    ! [X7,X8,X9] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X7,X9),c_HOL_Oplus__class_Oplus(X8,X7,X9),X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_2027]) ).

fof(c_0_3356,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2028]) ).

fof(c_0_3357,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2029]) ).

fof(c_0_3358,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2030]) ).

fof(c_0_3359,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2031]) ).

fof(c_0_3360,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2032]) ).

fof(c_0_3361,plain,
    ! [X6,X7] :
      ( c_Transcendental_Oln(X7) != c_Transcendental_Oln(X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2033]) ).

fof(c_0_3362,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X10),X9,X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_2034]) ).

fof(c_0_3363,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Ozero__class_Ozero(X10) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X10),X9,X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_2035]) ).

fof(c_0_3364,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2036]) ).

fof(c_0_3365,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2037]) ).

fof(c_0_3366,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Oinverse(X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2038]) ).

fof(c_0_3367,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2039]) ).

fof(c_0_3368,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2040]) ).

fof(c_0_3369,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2041]) ).

fof(c_0_3370,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Osgn__class_Osgn(X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2042]) ).

fof(c_0_3371,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2043]) ).

fof(c_0_3372,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X5,X4,X6),X6) = c_HOL_Oinverse__class_Odivide(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2044]) ).

fof(c_0_3373,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(X5,X4,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2045]) ).

fof(c_0_3374,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(X5,X4,X6)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,X6),X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2046]) ).

fof(c_0_3375,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oidom(X10)
      | ~ class_Int_Onumber__ring(X10)
      | c_HOL_Oplus__class_Oplus(X9,X8,X10) != c_HOL_Oplus__class_Oplus(X9,X7,X10)
      | X8 = X7 ),
    inference(variable_rename,[status(thm)],[c_0_2047]) ).

fof(c_0_3376,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,X6,X9) != c_RealVector_OscaleR__class_OscaleR(X7,X6,X9)
      | X6 = c_HOL_Ozero__class_Ozero(X9)
      | X8 = X7 ),
    inference(variable_rename,[status(thm)],[c_0_2048]) ).

fof(c_0_3377,plain,
    ! [X6] : c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2049]) ).

fof(c_0_3378,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,X7,X9) != c_RealVector_OscaleR__class_OscaleR(X8,X6,X9)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2050]) ).

fof(c_0_3379,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2051]) ).

fof(c_0_3380,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2052]) ).

fof(c_0_3381,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2053]) ).

fof(c_0_3382,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2054]) ).

fof(c_0_3383,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2055]) ).

fof(c_0_3384,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2056]) ).

fof(c_0_3385,plain,
    ! [X6,X7] :
      ( c_lessequals(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2057]) ).

fof(c_0_3386,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Odist__norm(X8)
      | c_RealVector_Odist__class_Odist(X7,X6,X8) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2058]) ).

fof(c_0_3387,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Oab__group__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X5,X4,X6),X6) = c_HOL_Ominus__class_Ominus(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2059]) ).

fof(c_0_3388,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X9,X11),X9,X11) = X10
      | X9 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_2060]) ).

fof(c_0_3389,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | X10 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X9,X11),X9,X11)
      | X9 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_2061]) ).

fof(c_0_3390,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X10,X9,X11),X9,X11) = X10
      | X9 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_2062]) ).

fof(c_0_3391,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | X10 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X10,X9,X11),X9,X11)
      | X9 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_2063]) ).

fof(c_0_3392,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2064]) ).

fof(c_0_3393,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2065]) ).

fof(c_0_3394,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X8)
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2066]) ).

fof(c_0_3395,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2067]) ).

fof(c_0_3396,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2068]) ).

fof(c_0_3397,plain,
    ! [X6] :
      ( c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2069]) ).

fof(c_0_3398,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2070]) ).

fof(c_0_3399,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(X5),X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2071]) ).

fof(c_0_3400,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_OrderedGroup_Oab__group__add(X23)
      | c_HOL_Ominus__class_Ominus(X21,X20,X23) != c_HOL_Ominus__class_Ominus(X22,X22,X23)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_2072]) ).

fof(c_0_3401,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_OrderedGroup_Oab__group__add(X21)
      | c_HOL_Ominus__class_Ominus(X20,X20,X21) != c_HOL_Ominus__class_Ominus(X19,X18,X21)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_2073]) ).

fof(c_0_3402,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X12)
      | c_HOL_Oplus__class_Oplus(X10,X11,X12) != c_HOL_Oplus__class_Oplus(X9,X11,X12)
      | X10 = X9 ),
    inference(variable_rename,[status(thm)],[c_0_2074]) ).

fof(c_0_3403,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X12)
      | c_HOL_Oplus__class_Oplus(X11,X10,X12) != c_HOL_Oplus__class_Oplus(X11,X9,X12)
      | X10 = X9 ),
    inference(variable_rename,[status(thm)],[c_0_2075]) ).

fof(c_0_3404,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X12)
      | c_HOL_Oplus__class_Oplus(X11,X10,X12) != c_HOL_Oplus__class_Oplus(X11,X9,X12)
      | X10 = X9 ),
    inference(variable_rename,[status(thm)],[c_0_2076]) ).

fof(c_0_3405,plain,
    ! [X4,X5,X6] :
      ( ~ class_Orderings_Oorder(X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2077]) ).

fof(c_0_3406,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2078]) ).

fof(c_0_3407,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2079]) ).

fof(c_0_3408,plain,
    ! [X4,X5,X6] :
      ( ~ class_Orderings_Opreorder(X6)
      | ~ c_HOL_Oord__class_Oless(X4,X5,X6)
      | ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2080]) ).

fof(c_0_3409,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_lessequals(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2081]) ).

fof(c_0_3410,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2082]) ).

fof(c_0_3411,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | ~ c_lessequals(X6,X6,X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2083]) ).

fof(c_0_3412,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | ~ c_lessequals(X6,X7,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2084]) ).

fof(c_0_3413,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6) = c_HOL_Oinverse__class_Odivide(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2085]) ).

fof(c_0_3414,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Otimes__class_Otimes(X4,X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2086]) ).

fof(c_0_3415,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X5,X6),X4,X6) = X5
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2087]) ).

fof(c_0_3416,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X5,X4,X6),X4,X6) = X5
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2088]) ).

fof(c_0_3417,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | X9 = c_HOL_Ozero__class_Ozero(X11)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X10,X9,X11),X9,X11) = X10 ),
    inference(variable_rename,[status(thm)],[c_0_2089]) ).

fof(c_0_3418,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | X9 = c_HOL_Ozero__class_Ozero(X11)
      | X10 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X10,X9,X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_2090]) ).

fof(c_0_3419,plain,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
    c_0_2091 ).

fof(c_0_3420,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6) = c_HOL_Oinverse__class_Odivide(X5,X4,X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2092]) ).

fof(c_0_3421,plain,
    ! [X10,X11] :
      ( c_lessequals(X10,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2093]) ).

fof(c_0_3422,plain,
    ! [X6,X7] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2094]) ).

fof(c_0_3423,plain,
    ! [X6,X7] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X7,X6,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2095]) ).

fof(c_0_3424,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X4,X6),X4,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2096]) ).

fof(c_0_3425,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X6),X4,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2097]) ).

fof(c_0_3426,plain,
    ! [X9,X10,X11] :
      ( c_HOL_Otimes__class_Otimes(X9,X11,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X9,X10,tc_RealDef_Oreal)
      | X9 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X11 = X10 ),
    inference(variable_rename,[status(thm)],[c_0_2098]) ).

fof(c_0_3427,plain,
    ! [X9,X10,X11] :
      ( c_HOL_Otimes__class_Otimes(X11,X9,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X10,X9,tc_RealDef_Oreal)
      | X9 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X11 = X10 ),
    inference(variable_rename,[status(thm)],[c_0_2099]) ).

fof(c_0_3428,plain,
    ! [X4,X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X5,X4,X6),X4,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2100]) ).

fof(c_0_3429,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Ometric__space(X8)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X7,X6,X8),tc_RealDef_Oreal)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2101]) ).

fof(c_0_3430,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Ometric__space(X7)
      | c_lessequals(c_RealVector_Odist__class_Odist(X6,X6,X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2102]) ).

fof(c_0_3431,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Ometric__space(X8)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X7,X6,X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2103]) ).

fof(c_0_3432,plain,
    ! [X8,X9] :
      ( X8 = X9
      | ~ c_lessequals(X9,X8,tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X9,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2104]) ).

fof(c_0_3433,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_2105]) ).

fof(c_0_3434,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X5,X4,X6),X4,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_2106]) ).

fof(c_0_3435,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X5,X4,X6),X4,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_2107]) ).

fof(c_0_3436,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_2108]) ).

fof(c_0_3437,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2109]) ).

fof(c_0_3438,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2110]) ).

fof(c_0_3439,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2111]) ).

fof(c_0_3440,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2112]) ).

fof(c_0_3441,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2113]) ).

fof(c_0_3442,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2114]) ).

fof(c_0_3443,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2115]) ).

fof(c_0_3444,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2116]) ).

fof(c_0_3445,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oring(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_2117]) ).

fof(c_0_3446,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X4,X5),c_HOL_Oabs__class_Oabs(X4,X5),X5) = c_HOL_Otimes__class_Otimes(X4,X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2118]) ).

fof(c_0_3447,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oring(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X4,X6),X6) = c_HOL_Otimes__class_Otimes(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2119]) ).

fof(c_0_3448,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X4,X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = c_HOL_Otimes__class_Otimes(X4,X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2120]) ).

fof(c_0_3449,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2121]) ).

fof(c_0_3450,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2122]) ).

fof(c_0_3451,plain,
    ! [X6] :
      ( c_lessequals(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2123]) ).

fof(c_0_3452,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2124]) ).

fof(c_0_3453,plain,
    ! [X6] :
      ( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X6),X6,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2125]) ).

fof(c_0_3454,plain,
    ! [X5] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2126]) ).

fof(c_0_3455,plain,
    ! [X5] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2127]) ).

fof(c_0_3456,plain,
    ! [X6] :
      ( X6 = 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(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2128]) ).

fof(c_0_3457,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2129]) ).

fof(c_0_3458,plain,
    ! [X6,X7,X8] : c_Log_Opowr(c_Log_Opowr(X6,X8),X7) = c_Log_Opowr(X6,c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal)),
    inference(variable_rename,[status(thm)],[c_0_2130]) ).

fof(c_0_3459,plain,
    ! [X7,X8] : X8 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X8,X7,tc_RealDef_Oreal),X7,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2131]) ).

fof(c_0_3460,plain,
    ! [X7,X8] : X8 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X8,X7,tc_RealDef_Oreal),X7,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2132]) ).

fof(c_0_3461,plain,
    ! [X4,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = X4
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2133]) ).

fof(c_0_3462,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2134]) ).

fof(c_0_3463,plain,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2135]) ).

fof(c_0_3464,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2136]) ).

fof(c_0_3465,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2137]) ).

fof(c_0_3466,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2138]) ).

fof(c_0_3467,plain,
    ! [X6] :
      ( c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2139]) ).

fof(c_0_3468,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2140]) ).

fof(c_0_3469,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2141]) ).

fof(c_0_3470,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2142]) ).

fof(c_0_3471,plain,
    ! [X6] :
      ( c_lessequals(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2143]) ).

fof(c_0_3472,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2144]) ).

fof(c_0_3473,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2145]) ).

fof(c_0_3474,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2146]) ).

fof(c_0_3475,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2147]) ).

fof(c_0_3476,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2148]) ).

fof(c_0_3477,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2149]) ).

fof(c_0_3478,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2150]) ).

fof(c_0_3479,plain,
    ! [X6] :
      ( c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2151]) ).

fof(c_0_3480,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2152]) ).

fof(c_0_3481,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2153]) ).

fof(c_0_3482,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2154]) ).

fof(c_0_3483,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2155]) ).

fof(c_0_3484,plain,
    ! [X6] :
      ( c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2156]) ).

fof(c_0_3485,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2157]) ).

fof(c_0_3486,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2158]) ).

fof(c_0_3487,plain,
    ! [X4,X5,X6] :
      ( ~ class_Orderings_Oorder(X6)
      | c_HOL_Oord__class_Oless(X4,X5,X6)
      | X5 = X4
      | ~ c_lessequals(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2159]) ).

fof(c_0_3488,plain,
    ! [X4,X5,X6] :
      ( ~ class_Orderings_Oorder(X6)
      | c_HOL_Oord__class_Oless(X4,X5,X6)
      | ~ c_lessequals(X4,X5,X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2160]) ).

fof(c_0_3489,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2161]) ).

fof(c_0_3490,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2162]) ).

fof(c_0_3491,plain,
    ! [X4,X5,X6] :
      ( ~ class_Orderings_Oorder(X6)
      | c_HOL_Oord__class_Oless(X5,X4,X6)
      | ~ c_lessequals(X5,X4,X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2163]) ).

fof(c_0_3492,plain,
    ! [X4,X5,X6] :
      ( ~ class_Orderings_Oorder(X6)
      | c_HOL_Oord__class_Oless(X5,X4,X6)
      | X5 = X4
      | ~ c_lessequals(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2164]) ).

fof(c_0_3493,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2165]) ).

fof(c_0_3494,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2166]) ).

fof(c_0_3495,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Osgn__div__norm(X7)
      | c_HOL_Osgn__class_Osgn(X6,X7) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X6,X7),tc_RealDef_Oreal),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2167]) ).

fof(c_0_3496,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) != X6
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2168]) ).

fof(c_0_3497,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) != X7
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2169]) ).

fof(c_0_3498,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2170]) ).

fof(c_0_3499,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X7),c_Transcendental_Oarctan(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2171]) ).

fof(c_0_3500,plain,
    ! [X6,X7] :
      ( c_lessequals(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2172]) ).

fof(c_0_3501,plain,
    ! [X6,X7] :
      ( c_lessequals(c_Transcendental_Oarctan(X7),c_Transcendental_Oarctan(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2173]) ).

fof(c_0_3502,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ofield(X8)
      | ~ class_Int_Onumber__ring(X8)
      | c_HOL_Oinverse__class_Odivide(X7,X6,X8) = c_HOL_Otimes__class_Otimes(X7,c_HOL_Oinverse__class_Oinverse(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2174]) ).

fof(c_0_3503,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = X7
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2175]) ).

fof(c_0_3504,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = X6
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2176]) ).

fof(c_0_3505,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = X7
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2177]) ).

fof(c_0_3506,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = X6
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2178]) ).

fof(c_0_3507,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2179]) ).

fof(c_0_3508,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | c_lessequals(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2180]) ).

fof(c_0_3509,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | c_lessequals(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2181]) ).

fof(c_0_3510,plain,
    ! [X6] :
      ( c_lessequals(c_Transcendental_Oln(X6),X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2182]) ).

fof(c_0_3511,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X6),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2183]) ).

fof(c_0_3512,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X4,X5),X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2184]) ).

fof(c_0_3513,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2185]) ).

fof(c_0_3514,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2186]) ).

fof(c_0_3515,plain,
    ! [X6] : c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X6,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2187]) ).

fof(c_0_3516,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2188]) ).

fof(c_0_3517,plain,
    ! [X6,X7] : c_Log_Opowr(X6,X7) = c_Transcendental_Oexp(c_HOL_Otimes__class_Otimes(X7,c_Transcendental_Oln(X6),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2189]) ).

fof(c_0_3518,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X6) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_2190]) ).

fof(c_0_3519,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ominus__class_Ominus(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) = c_HOL_Oplus__class_Oplus(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2191]) ).

fof(c_0_3520,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2192]) ).

fof(c_0_3521,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__algebra__1(X12)
      | c_RealVector_OscaleR__class_OscaleR(X11,X10,X12) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X11,X12),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_2193]) ).

fof(c_0_3522,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Oab__group__add(X6)
      | c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_2194]) ).

fof(c_0_3523,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_2195]) ).

fof(c_0_3524,plain,
    ! [X6,X7,X8] :
      ( ~ class_Int_Onumber__ring(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2196]) ).

fof(c_0_3525,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Oab__group__add(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_2197]) ).

fof(c_0_3526,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X6,X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2198]) ).

fof(c_0_3527,plain,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
      | X7 = X6
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2199]) ).

fof(c_0_3528,plain,
    ! [X4,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = c_HOL_Ouminus__class_Ouminus(X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2200]) ).

fof(c_0_3529,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Osgn__class_Osgn(X4,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X5),X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2201]) ).

fof(c_0_3530,plain,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2202]) ).

fof(c_0_3531,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X6,X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2203]) ).

fof(c_0_3532,plain,
    ! [X6] :
      ( c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2204]) ).

fof(c_0_3533,plain,
    ! [X5,X6] :
      ( c_Log_Olog(X6,c_Log_Opowr(X6,X5)) = X5
      | X6 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2205]) ).

fof(c_0_3534,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = c_HOL_Ouminus__class_Ouminus(X4,X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2206]) ).

fof(c_0_3535,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oabs__if(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = c_HOL_Ouminus__class_Ouminus(X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2207]) ).

fof(c_0_3536,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = c_HOL_Ouminus__class_Ouminus(X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2208]) ).

fof(c_0_3537,plain,
    ! [X47,X48] : c_HOL_Oinverse__class_Odivide(X48,X47,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X48,c_HOL_Oinverse__class_Oinverse(X47,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2209]) ).

fof(c_0_3538,plain,
    ! [X22,X23] : c_HOL_Ominus__class_Ominus(X23,X22,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X23,c_HOL_Ouminus__class_Ouminus(X22,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2210]) ).

fof(c_0_3539,plain,
    ! [X4,X5,X6] :
      ( ~ class_RealVector_Oreal__vector(X6)
      | c_RealVector_OscaleR__class_OscaleR(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_RealVector_OscaleR__class_OscaleR(X4,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_2211]) ).

fof(c_0_3540,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X5),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2212]) ).

fof(c_0_3541,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Osgn__if(X7)
      | c_HOL_Osgn__class_Osgn(X6,X7) = c_HOL_Oone__class_Oone(X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2213]) ).

fof(c_0_3542,plain,
    ! [X6,X7] :
      ( c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = X7 ),
    inference(variable_rename,[status(thm)],[c_0_2214]) ).

fof(c_0_3543,plain,
    ! [X6] : ~ c_lessequals(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2215]) ).

fof(c_0_3544,plain,
    ! [X6] : ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2216]) ).

fof(c_0_3545,plain,
    ! [X6] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X6,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2217]) ).

fof(c_0_3546,plain,
    ! [X6] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2218]) ).

fof(c_0_3547,plain,
    ! [X6] : c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X6,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2219]) ).

fof(c_0_3548,plain,
    ! [X6] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X6,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2220]) ).

fof(c_0_3549,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__vector(X8)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,X8) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2221]) ).

fof(c_0_3550,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Osgn__class_Osgn(X4,X5) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X5),X5)
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2222]) ).

fof(c_0_3551,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Osgn__class_Osgn(X4,X5) = c_HOL_Oone__class_Oone(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2223]) ).

fof(c_0_3552,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X5) = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2224]) ).

fof(c_0_3553,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X5) = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2225]) ).

fof(c_0_3554,plain,
    ! [X6] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2226]) ).

fof(c_0_3555,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2227]) ).

fof(c_0_3556,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2228]) ).

fof(c_0_3557,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2229]) ).

fof(c_0_3558,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2230]) ).

fof(c_0_3559,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__idom(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2231]) ).

fof(c_0_3560,plain,
    ! [X6,X7] : c_Log_Opowr(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X6,X7),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2232]) ).

fof(c_0_3561,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X5) = X4
      | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2233]) ).

fof(c_0_3562,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X5) = X4
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2234]) ).

fof(c_0_3563,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = X4
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2235]) ).

fof(c_0_3564,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = X4
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2236]) ).

fof(c_0_3565,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(X6,X7,X8)
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2237]) ).

fof(c_0_3566,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2238]) ).

fof(c_0_3567,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2239]) ).

fof(c_0_3568,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | c_HOL_Oord__class_Oless(X6,X6,X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2240]) ).

fof(c_0_3569,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2241]) ).

fof(c_0_3570,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2242]) ).

fof(c_0_3571,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2243]) ).

fof(c_0_3572,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2244]) ).

fof(c_0_3573,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X8)
      | c_HOL_Oplus__class_Oplus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2245]) ).

fof(c_0_3574,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X11)
      | c_HOL_Oplus__class_Oplus(X10,X9,X11) = c_HOL_Oplus__class_Oplus(X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_2246]) ).

fof(c_0_3575,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2247]) ).

fof(c_0_3576,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2248]) ).

fof(c_0_3577,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Ometric__space(X8)
      | c_RealVector_Odist__class_Odist(X7,X6,X8) = c_RealVector_Odist__class_Odist(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2249]) ).

fof(c_0_3578,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_HOL_Otimes__class_Otimes(X5,X4,X6) = c_HOL_Otimes__class_Otimes(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2250]) ).

fof(c_0_3579,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X8)
      | c_HOL_Otimes__class_Otimes(X7,X6,X8) = c_HOL_Otimes__class_Otimes(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_2251]) ).

fof(c_0_3580,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ouminus__class_Ouminus(X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_2252]) ).

fof(c_0_3581,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
      | c_HOL_Ouminus__class_Ouminus(X5,X6) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2253]) ).

fof(c_0_3582,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X6,X7),c_HOL_Oabs__class_Oabs(X6,X7),X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2254]) ).

fof(c_0_3583,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Otimes__class_Otimes(X5,X4,X6) != c_HOL_Oone__class_Oone(X6)
      | c_HOL_Oinverse__class_Oinverse(X5,X6) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2255]) ).

fof(c_0_3584,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | X4 = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X5),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2256]) ).

fof(c_0_3585,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,X5),c_HOL_Oabs__class_Oabs(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2257]) ).

fof(c_0_3586,plain,
    ! [X6,X7] :
      ( ~ class_Int_Onumber__ring(X7)
      | c_HOL_Ouminus__class_Ouminus(X6,X7) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X7),X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2258]) ).

fof(c_0_3587,plain,
    ! [X10] :
      ( c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X10,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2259]) ).

fof(c_0_3588,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_2260 ).

fof(c_0_3589,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2261]) ).

fof(c_0_3590,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2262]) ).

fof(c_0_3591,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X6)
      | c_HOL_Otimes__class_Otimes(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2263]) ).

fof(c_0_3592,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X6)
      | c_HOL_Otimes__class_Otimes(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2264]) ).

fof(c_0_3593,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
      | c_HOL_Otimes__class_Otimes(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2265]) ).

fof(c_0_3594,plain,
    ! [X3] :
      ( c_Log_Olog(X3,X3) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X3 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2266]) ).

fof(c_0_3595,plain,
    ! [X6] : c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X6,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X6),
    inference(variable_rename,[status(thm)],[c_0_2267]) ).

fof(c_0_3596,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oidom(X8)
      | ~ class_Int_Onumber__ring(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) != c_HOL_Ozero__class_Ozero(X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2268]) ).

fof(c_0_3597,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__vector(X8)
      | c_RealVector_OscaleR__class_OscaleR(X7,X6,X8) != c_HOL_Ozero__class_Ozero(X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2269]) ).

fof(c_0_3598,plain,
    ! [X6] :
      ( c_Transcendental_Oexp(c_Transcendental_Oln(X6),tc_RealDef_Oreal) = X6
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2270]) ).

fof(c_0_3599,plain,
    ! [X5] :
      ( c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X5),tc_RealDef_Oreal) = X5
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2271]) ).

fof(c_0_3600,plain,
    ! [X6] :
      ( c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | X6 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2272]) ).

fof(c_0_3601,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Osgn__if(X7)
      | c_HOL_Osgn__class_Osgn(X6,X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X7),X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2273]) ).

fof(c_0_3602,plain,
    ! [X6] :
      ( c_HOL_Osgn__class_Osgn(X6,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2274]) ).

fof(c_0_3603,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oidom(X8)
      | ~ class_Int_Onumber__ring(X8)
      | X6 != c_HOL_Oplus__class_Oplus(X6,X7,X8)
      | X7 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_2275]) ).

fof(c_0_3604,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Odivide(X5,X4,X6) != c_HOL_Oone__class_Oone(X6)
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2276]) ).

fof(c_0_3605,plain,
    ! [X6] :
      ( c_Log_Opowr(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X6
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2277]) ).

fof(c_0_3606,plain,
    ! [X8,X9] :
      ( c_lessequals(X9,X8,tc_RealDef_Oreal)
      | c_lessequals(X8,X9,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2278]) ).

fof(c_0_3607,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2279]) ).

fof(c_0_3608,plain,
    ! [X8,X9] : c_HOL_Otimes__class_Otimes(X8,X9,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X9,X8,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2280]) ).

fof(c_0_3609,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X4,X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2281]) ).

fof(c_0_3610,plain,
    ! [X6] :
      ( c_HOL_Osgn__class_Osgn(X6,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2282]) ).

fof(c_0_3611,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_2283 ).

fof(c_0_3612,plain,
    ! [X6] :
      ( c_Transcendental_Oln(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X6 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2284]) ).

fof(c_0_3613,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2285]) ).

fof(c_0_3614,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2286]) ).

fof(c_0_3615,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2287]) ).

fof(c_0_3616,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Oab__group__add(X6)
      | c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2288]) ).

fof(c_0_3617,plain,
    ! [X32,X33] :
      ( ~ class_Ring__and__Field_Oordered__idom(X33)
      | c_HOL_Oabs__class_Oabs(X32,X33) = c_HOL_Otimes__class_Otimes(X32,c_HOL_Osgn__class_Osgn(X32,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_2289]) ).

fof(c_0_3618,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2290]) ).

fof(c_0_3619,plain,
    ! [X6,X7] :
      ( c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2291]) ).

fof(c_0_3620,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oabs__class_Oabs(X4,X5),X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2292]) ).

fof(c_0_3621,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2293]) ).

fof(c_0_3622,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Ometric__space(X8)
      | c_RealVector_Odist__class_Odist(X7,X6,X8) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2294]) ).

fof(c_0_3623,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X4,X5),X4,X5) = c_HOL_Oone__class_Oone(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2295]) ).

fof(c_0_3624,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X4,X5),X4,X5) = c_HOL_Oone__class_Oone(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2296]) ).

fof(c_0_3625,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X4,X5),X5) = c_HOL_Oone__class_Oone(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2297]) ).

fof(c_0_3626,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Osgn__class_Osgn(X4,X5) != c_HOL_Oone__class_Oone(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2298]) ).

fof(c_0_3627,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2299]) ).

fof(c_0_3628,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2300]) ).

fof(c_0_3629,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7),tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2301]) ).

fof(c_0_3630,plain,
    ! [X6,X7] :
      ( ~ class_SEQ_Obanach(X7)
      | ~ class_RealVector_Oreal__normed__field(X7)
      | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2302]) ).

fof(c_0_3631,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X4,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2303]) ).

fof(c_0_3632,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2304]) ).

fof(c_0_3633,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oabs__class_Oabs(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2305]) ).

fof(c_0_3634,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2306]) ).

fof(c_0_3635,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2307]) ).

fof(c_0_3636,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Opreorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2308]) ).

fof(c_0_3637,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2309]) ).

fof(c_0_3638,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2310]) ).

fof(c_0_3639,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | ~ class_RealVector_Oreal__normed__div__algebra(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X4,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X4,X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2311]) ).

fof(c_0_3640,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X4,X5),X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2312]) ).

fof(c_0_3641,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X4,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X4,X5),X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2313]) ).

fof(c_0_3642,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X5) != X4
      | c_lessequals(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2314]) ).

fof(c_0_3643,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X5) != X4
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2315]) ).

fof(c_0_3644,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2316]) ).

fof(c_0_3645,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X4,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2317]) ).

fof(c_0_3646,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2318]) ).

fof(c_0_3647,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X4,X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2319]) ).

fof(c_0_3648,plain,
    ! [X6] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X6),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2320]) ).

fof(c_0_3649,plain,
    ! [X6] : c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X6),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2321]) ).

fof(c_0_3650,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | ~ class_RealVector_Oreal__algebra__1(X7)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X7) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2322]) ).

fof(c_0_3651,plain,
    ! [X6,X7] :
      ( ~ class_SEQ_Obanach(X7)
      | ~ class_RealVector_Oreal__normed__field(X7)
      | c_Transcendental_Oexp(c_RealVector_Oof__real(X6,X7),X7) = c_RealVector_Oof__real(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2323]) ).

fof(c_0_3652,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | ~ class_RealVector_Oreal__div__algebra(X7)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X6,tc_RealDef_Oreal),X7) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2324]) ).

fof(c_0_3653,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X4,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X4,X5),tc_RealDef_Oreal)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2325]) ).

fof(c_0_3654,plain,
    ! [X4,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = X4
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2326]) ).

fof(c_0_3655,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2327]) ).

fof(c_0_3656,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Int_Onumber__ring(X7)
      | c_HOL_Oinverse__class_Oinverse(X6,X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2328]) ).

fof(c_0_3657,plain,
    ! [X6] :
      ( c_HOL_Osgn__class_Osgn(X6,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2329]) ).

fof(c_0_3658,plain,
    ! [X6] : c_HOL_Osgn__class_Osgn(X6,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X6,c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2330]) ).

fof(c_0_3659,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__div__algebra(X7)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X6,tc_RealDef_Oreal),X7) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X6,X7),X7)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2331]) ).

fof(c_0_3660,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(X4,c_HOL_Oabs__class_Oabs(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2332]) ).

fof(c_0_3661,plain,
    ! [X6] :
      ( c_Transcendental_Oexp(c_Transcendental_Oln(X6),tc_RealDef_Oreal) != X6
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2333]) ).

fof(c_0_3662,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Oinverse(X4,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2334]) ).

fof(c_0_3663,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X7)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2335]) ).

fof(c_0_3664,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X7)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2336]) ).

fof(c_0_3665,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2337]) ).

fof(c_0_3666,plain,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_2338 ).

fof(c_0_3667,plain,
    ! [X6,X7] : ~ c_Ring__and__Field_Ozero__neq__one(X6,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_2339]) ).

fof(c_0_3668,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2340]) ).

fof(c_0_3669,plain,
    ! [X6] :
      ( c_Log_Opowr(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X6
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2341]) ).

fof(c_0_3670,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X11)
      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X10,X11),X11) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X10,tc_RealDef_Oreal),X11) ),
    inference(variable_rename,[status(thm)],[c_0_2342]) ).

fof(c_0_3671,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__algebra__1(X7)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X7) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2343]) ).

fof(c_0_3672,plain,
    ! [X6] : ~ c_HOL_Oord__class_Oless(X6,X6,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2344]) ).

fof(c_0_3673,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oabs__if(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) = X4
      | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2345]) ).

fof(c_0_3674,plain,
    ! [X6] :
      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X6,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2346]) ).

fof(c_0_3675,plain,
    ! [X6,X7] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X7,X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2347]) ).

fof(c_0_3676,plain,
    ! [X6,X7] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X6,X7),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2348]) ).

fof(c_0_3677,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Oinverse(X4,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2349]) ).

fof(c_0_3678,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ouminus__class_Ouminus(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2350]) ).

fof(c_0_3679,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__algebra__1(X11)
      | c_RealVector_Oof__real(X10,X11) = c_RealVector_OscaleR__class_OscaleR(X10,c_HOL_Oone__class_Oone(X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_2351]) ).

fof(c_0_3680,plain,
    ! [X5] :
      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2352]) ).

fof(c_0_3681,plain,
    ! [X6,X7,X8] : c_Log_Opowr(c_Log_Opowr(X6,X8),X7) = c_Log_Opowr(c_Log_Opowr(X6,X7),X8),
    inference(variable_rename,[status(thm)],[c_0_2353]) ).

fof(c_0_3682,plain,
    ! [X6] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2354]) ).

fof(c_0_3683,plain,
    ! [X6,X7] : c_Log_Olog(X7,X6) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X6),c_Transcendental_Oln(X7),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2355]) ).

fof(c_0_3684,plain,
    ! [X6] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2356]) ).

fof(c_0_3685,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2357]) ).

fof(c_0_3686,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2358]) ).

fof(c_0_3687,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Ozero__class_Ozero(X5) = c_HOL_Oinverse__class_Odivide(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2359]) ).

fof(c_0_3688,plain,
    ! [X6] : c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2360]) ).

fof(c_0_3689,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X4,X4,X5) = c_HOL_Oone__class_Oone(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2361]) ).

fof(c_0_3690,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2362]) ).

fof(c_0_3691,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oidom(X7)
      | ~ class_Int_Onumber__ring(X7)
      | X6 = c_HOL_Oplus__class_Oplus(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_2363]) ).

fof(c_0_3692,plain,
    ! [X6,X7] : c_Log_Opowr(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(X6,X7),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2364]) ).

fof(c_0_3693,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X4)
      | c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2365]) ).

fof(c_0_3694,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2366]) ).

fof(c_0_3695,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2367]) ).

fof(c_0_3696,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oidom(X7)
      | ~ class_Int_Onumber__ring(X7)
      | c_HOL_Ominus__class_Ominus(X6,X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2368]) ).

fof(c_0_3697,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X4,c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2369]) ).

fof(c_0_3698,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__normed__field(X6)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2370]) ).

fof(c_0_3699,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2371]) ).

fof(c_0_3700,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__vector(X5)
      | c_RealVector_OscaleR__class_OscaleR(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2372]) ).

fof(c_0_3701,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_OscaleR__class_OscaleR(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2373]) ).

fof(c_0_3702,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2374]) ).

fof(c_0_3703,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2375]) ).

fof(c_0_3704,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2376]) ).

fof(c_0_3705,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2377]) ).

fof(c_0_3706,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2378]) ).

fof(c_0_3707,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__normed__algebra(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2379]) ).

fof(c_0_3708,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2380]) ).

fof(c_0_3709,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2381]) ).

fof(c_0_3710,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__algebra(X7)
      | c_HOL_Otimes__class_Otimes(X6,c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2382]) ).

fof(c_0_3711,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2383]) ).

fof(c_0_3712,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Omult__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2384]) ).

fof(c_0_3713,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Omult__zero(X5)
      | c_HOL_Otimes__class_Otimes(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2385]) ).

fof(c_0_3714,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2386]) ).

fof(c_0_3715,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X4,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2387]) ).

fof(c_0_3716,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X4,X4,X5) = c_HOL_Oone__class_Oone(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2388]) ).

fof(c_0_3717,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7)
      | c_HOL_Oinverse__class_Odivide(X6,X6,X7) = c_HOL_Oone__class_Oone(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2389]) ).

fof(c_0_3718,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X4,X4,X5) = c_HOL_Oone__class_Oone(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2390]) ).

fof(c_0_3719,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) = c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    c_0_2391 ).

fof(c_0_3720,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    c_0_2392 ).

fof(c_0_3721,plain,
    ! [X10] :
      ( c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal) = X10
      | c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2393]) ).

fof(c_0_3722,plain,
    ! [X6] : c_Transcendental_Otan(X6) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X6),c_Transcendental_Ocos(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2394]) ).

fof(c_0_3723,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__vector(X7)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2395]) ).

fof(c_0_3724,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2396]) ).

fof(c_0_3725,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X4,c_HOL_Oone__class_Oone(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2397]) ).

fof(c_0_3726,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X4,X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2398]) ).

fof(c_0_3727,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X4,c_HOL_Oone__class_Oone(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2399]) ).

fof(c_0_3728,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X7),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2400]) ).

fof(c_0_3729,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X4,X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2401]) ).

fof(c_0_3730,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X4,X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2402]) ).

fof(c_0_3731,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(X4,c_HOL_Oone__class_Oone(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2403]) ).

fof(c_0_3732,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X4,c_HOL_Oone__class_Oone(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2404]) ).

fof(c_0_3733,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X4,X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2405]) ).

fof(c_0_3734,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X4,c_HOL_Ozero__class_Ozero(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2406]) ).

fof(c_0_3735,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X4,X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2407]) ).

fof(c_0_3736,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X7),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2408]) ).

fof(c_0_3737,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X4,c_HOL_Ozero__class_Ozero(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2409]) ).

fof(c_0_3738,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Omonoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X4,X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2410]) ).

fof(c_0_3739,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Omonoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X4,c_HOL_Ozero__class_Ozero(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2411]) ).

fof(c_0_3740,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X4,c_HOL_Ozero__class_Ozero(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2412]) ).

fof(c_0_3741,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X4,c_HOL_Ozero__class_Ozero(X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2413]) ).

fof(c_0_3742,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__vector(X7)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2414]) ).

fof(c_0_3743,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X4,X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2415]) ).

fof(c_0_3744,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2416]) ).

fof(c_0_3745,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Oab__group__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2417]) ).

fof(c_0_3746,plain,
    ! [X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X4,X4,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2418]) ).

fof(c_0_3747,plain,
    ! [X3] : c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X3),c_Transcendental_Osin(X3)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2419]) ).

fof(c_0_3748,plain,
    ! [X6] :
      ( c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X6),X6,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2420]) ).

fof(c_0_3749,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Oinverse__class_Oinverse(X5,X6) != c_HOL_Oinverse__class_Oinverse(X4,X6)
      | X5 = X4
      | X4 = c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_2421]) ).

fof(c_0_3750,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Ometric__space(X7)
      | c_RealVector_Odist__class_Odist(X6,X6,X7) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2422]) ).

fof(c_0_3751,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Olower__semilattice(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2423]) ).

fof(c_0_3752,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oupper__semilattice(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2424]) ).

fof(c_0_3753,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X7)
      | c_HOL_Otimes__class_Otimes(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2425]) ).

fof(c_0_3754,plain,
    ! [X6] : c_lessequals(c_Transcendental_Osin(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2426]) ).

fof(c_0_3755,plain,
    ! [X6] : c_lessequals(c_Transcendental_Ocos(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2427]) ).

fof(c_0_3756,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2428]) ).

fof(c_0_3757,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Opreorder(X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2429]) ).

fof(c_0_3758,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2430]) ).

fof(c_0_3759,axiom,
    c_Transcendental_Otan(v_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(v_x),c_Transcendental_Ocos(v_x),tc_RealDef_Oreal),
    c_0_2431 ).

fof(c_0_3760,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_2432 ).

fof(c_0_3761,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_RealVector_Onorm__class_Onorm(X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_2433]) ).

fof(c_0_3762,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X4,X5),X5) = c_HOL_Oabs__class_Oabs(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2434]) ).

fof(c_0_3763,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = c_HOL_Oabs__class_Oabs(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2435]) ).

fof(c_0_3764,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X4,X5),X5) = c_HOL_Osgn__class_Osgn(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2436]) ).

fof(c_0_3765,plain,
    ! [X4,X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(X5,X6) != c_HOL_Oinverse__class_Oinverse(X4,X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2437]) ).

fof(c_0_3766,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X11)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X10,X11),X11) = c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2438]) ).

fof(c_0_3767,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X4,X5),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_2439]) ).

fof(c_0_3768,plain,
    ! [X7] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) = X7,
    inference(variable_rename,[status(thm)],[c_0_2440]) ).

fof(c_0_3769,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X4,X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2441]) ).

fof(c_0_3770,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X6,X7),X7) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2442]) ).

fof(c_0_3771,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    c_0_2443 ).

fof(c_0_3772,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    c_0_2444 ).

fof(c_0_3773,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    c_0_2445 ).

fof(c_0_3774,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    c_0_2446 ).

fof(c_0_3775,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal),
    c_0_2447 ).

fof(c_0_3776,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__algebra__1(X8)
      | c_RealVector_Oof__real(X7,X8) != c_RealVector_Oof__real(X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2448]) ).

fof(c_0_3777,plain,
    ! [X4,X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ouminus__class_Ouminus(X5,X6) != c_HOL_Ouminus__class_Ouminus(X4,X6)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2449]) ).

fof(c_0_3778,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(X7,X8) != c_HOL_Ouminus__class_Ouminus(X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2450]) ).

fof(c_0_3779,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X4,X5),X5) = X4
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2451]) ).

fof(c_0_3780,plain,
    ! [X8] : c_lessequals(X8,X8,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2452]) ).

fof(c_0_3781,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oinverse__class_Oinverse(X6,X7) != c_HOL_Oone__class_Oone(X7)
      | X6 = c_HOL_Oone__class_Oone(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2453]) ).

fof(c_0_3782,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2454]) ).

fof(c_0_3783,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2455]) ).

fof(c_0_3784,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oboolean__algebra(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2456]) ).

fof(c_0_3785,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X4 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2457]) ).

fof(c_0_3786,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X4 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_2458]) ).

fof(c_0_3787,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,X5),X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2459]) ).

fof(c_0_3788,plain,
    ! [X6] : c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X6,tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2460]) ).

fof(c_0_3789,plain,
    ! [X6] : c_Transcendental_Oln(X6) = c_Log_Olog(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X6),
    inference(variable_rename,[status(thm)],[c_0_2461]) ).

fof(c_0_3790,plain,
    ! [X15,X16,X17,X18] :
      ( c_Complex_Ocomplex_OComplex(X18,X16) != c_Complex_Ocomplex_OComplex(X17,X15)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_2462]) ).

fof(c_0_3791,plain,
    ! [X15,X16,X17,X18] :
      ( c_Complex_Ocomplex_OComplex(X18,X16) != c_Complex_Ocomplex_OComplex(X17,X15)
      | X16 = X15 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2463])])]) ).

fof(c_0_3792,plain,
    ! [X6] : c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2464]) ).

fof(c_0_3793,plain,
    ! [X6] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(X6,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2465]) ).

fof(c_0_3794,plain,
    ! [X6] : c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2466]) ).

fof(c_0_3795,plain,
    ! [X6] : c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2467]) ).

fof(c_0_3796,plain,
    ! [X6] : c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X6),tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2468]) ).

fof(c_0_3797,plain,
    ! [X6,X7] :
      ( ~ class_SEQ_Obanach(X7)
      | ~ class_RealVector_Oreal__normed__field(X7)
      | c_Transcendental_Oexp(X6,X7) != c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2469]) ).

fof(c_0_3798,plain,
    ! [X6,X7] :
      ( c_Transcendental_Oexp(X7,tc_RealDef_Oreal) != c_Transcendental_Oexp(X6,tc_RealDef_Oreal)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2470]) ).

fof(c_0_3799,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_HOL_Osgn__class_Osgn(X6,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2471]) ).

fof(c_0_3800,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Osgn__class_Osgn(X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2472]) ).

fof(c_0_3801,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ozero__class_Ozero(X5) != c_HOL_Ouminus__class_Ouminus(X4,X5)
      | c_HOL_Ozero__class_Ozero(X5) = X4 ),
    inference(variable_rename,[status(thm)],[c_0_2473]) ).

fof(c_0_3802,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2474]) ).

fof(c_0_3803,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2475]) ).

fof(c_0_3804,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2476]) ).

fof(c_0_3805,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__algebra__1(X7)
      | c_RealVector_Oof__real(X6,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2477]) ).

fof(c_0_3806,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(X6,X7) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_2478]) ).

fof(c_0_3807,plain,
    ! [X4] :
      ( ~ class_SEQ_Obanach(X4)
      | ~ class_RealVector_Oreal__normed__field(X4)
      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2479]) ).

fof(c_0_3808,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2480]) ).

fof(c_0_3809,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2481]) ).

fof(c_0_3810,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X4,X5) != X4
      | X4 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_2482]) ).

fof(c_0_3811,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2483]) ).

fof(c_0_3812,plain,
    ! [X6] :
      ( c_Transcendental_Osin(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X6),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2484]) ).

fof(c_0_3813,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2485]) ).

fof(c_0_3814,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2486]) ).

fof(c_0_3815,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2487]) ).

fof(c_0_3816,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2488]) ).

fof(c_0_3817,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2489]) ).

fof(c_0_3818,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2490]) ).

fof(c_0_3819,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2491]) ).

fof(c_0_3820,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2492]) ).

fof(c_0_3821,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Osgn__if(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2493]) ).

fof(c_0_3822,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2494]) ).

fof(c_0_3823,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_2495]) ).

fof(c_0_3824,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2496]) ).

fof(c_0_3825,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2497]) ).

fof(c_0_3826,plain,
    ! [X6] : c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X6),
    inference(variable_rename,[status(thm)],[c_0_2498]) ).

fof(c_0_3827,plain,
    ! [X3] : c_Complex_Ocis(X3) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X3),c_Transcendental_Osin(X3)),
    inference(variable_rename,[status(thm)],[c_0_2499]) ).

fof(c_0_3828,plain,
    ! [X3,X4] :
      ( c_Complex_Ocomplex_OComplex(X4,X3) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
      | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2500])])]) ).

fof(c_0_3829,plain,
    ! [X3,X4] :
      ( c_Complex_Ocomplex_OComplex(X4,X3) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
      | X4 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2501]) ).

fof(c_0_3830,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2502]) ).

fof(c_0_3831,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2503]) ).

fof(c_0_3832,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2504]) ).

fof(c_0_3833,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2505]) ).

fof(c_0_3834,plain,
    ! [X6] : c_Transcendental_Oln(c_Transcendental_Oexp(X6,tc_RealDef_Oreal)) = X6,
    inference(variable_rename,[status(thm)],[c_0_2506]) ).

fof(c_0_3835,plain,
    ! [X37] : c_Transcendental_Oln(c_Transcendental_Oexp(X37,tc_RealDef_Oreal)) = X37,
    inference(variable_rename,[status(thm)],[c_0_2507]) ).

fof(c_0_3836,plain,
    ! [X5] : c_Transcendental_Oln(c_Transcendental_Oexp(X5,tc_RealDef_Oreal)) = X5,
    inference(variable_rename,[status(thm)],[c_0_2508]) ).

fof(c_0_3837,plain,
    ! [X6] :
      ( c_Transcendental_Oexp(X6,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2509]) ).

fof(c_0_3838,plain,
    ! [X6,X7] :
      ( c_Complex_Ocomplex_OComplex(X7,X6) != c_Complex_Oii
      | X6 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2510])])]) ).

fof(c_0_3839,plain,
    ! [X6,X7] :
      ( c_Complex_Ocomplex_OComplex(X7,X6) != c_Complex_Oii
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2511]) ).

fof(c_0_3840,plain,
    ! [X6,X7] : c_Log_Opowr(X6,X7) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2512]) ).

fof(c_0_3841,axiom,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    c_0_2513 ).

fof(c_0_3842,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_2514 ).

fof(c_0_3843,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    c_0_2515 ).

fof(c_0_3844,axiom,
    c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
    c_0_2516 ).

fof(c_0_3845,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X4)
      | c_HOL_Oone__class_Oone(X4) != c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2517]) ).

fof(c_0_3846,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X4)
      | c_HOL_Ozero__class_Ozero(X4) != c_HOL_Oone__class_Oone(X4) ),
    inference(variable_rename,[status(thm)],[c_0_2518]) ).

fof(c_0_3847,plain,
    ! [X6] : c_Transcendental_Ocos(c_Transcendental_Oarctan(X6)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2519]) ).

fof(c_0_3848,plain,
    ! [X3] : c_Log_Olog(X3,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2520]) ).

fof(c_0_3849,plain,
    ! [X6] : c_Log_Opowr(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2521]) ).

fof(c_0_3850,plain,
    ! [X3] : c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(variable_rename,[status(thm)],[c_0_2522]) ).

fof(c_0_3851,axiom,
    c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_2523 ).

fof(c_0_3852,axiom,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2524 ).

fof(c_0_3853,axiom,
    c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2525 ).

fof(c_0_3854,plain,
    ! [X6] :
      ( c_Transcendental_Ocos(X6) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | c_Transcendental_Osin(X6) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2526]) ).

fof(c_0_3855,plain,
    ! [X6,X7] :
      ( c_NthRoot_Osqrt(X7) != c_NthRoot_Osqrt(X6)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_2527]) ).

fof(c_0_3856,plain,
    ! [X6,X7] : c_Fun_Oid(X6,X7) = X6,
    inference(variable_rename,[status(thm)],[c_0_2528]) ).

fof(c_0_3857,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2529]) ).

fof(c_0_3858,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_2530]) ).

fof(c_0_3859,axiom,
    c_Fun_Oid(v_x,t_a) = v_x,
    c_0_2531 ).

fof(c_0_3860,plain,
    ! [X5] : c_Transcendental_Otan(c_Transcendental_Oarctan(X5)) = X5,
    inference(variable_rename,[status(thm)],[c_0_2532]) ).

fof(c_0_3861,axiom,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2533 ).

fof(c_0_3862,axiom,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_2534 ).

fof(c_0_3863,axiom,
    c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2535 ).

fof(c_0_3864,axiom,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_2536 ).

fof(c_0_3865,axiom,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2537 ).

fof(c_0_3866,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2538 ).

fof(c_0_3867,axiom,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2539 ).

fof(c_0_3868,axiom,
    c_Complex_Ocis(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_2540 ).

fof(c_0_3869,axiom,
    ( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | v_x != c_Transcendental_Opi ),
    c_0_2541 ).

fof(c_0_3870,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_2542 ).

fof(c_0_3871,axiom,
    c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2543 ).

fof(c_0_3872,axiom,
    c_Transcendental_Ocos(c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2544 ).

fof(c_0_3873,axiom,
    c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2545 ).

fof(c_0_3874,axiom,
    c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_2546 ).

fof(c_0_3875,axiom,
    c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_2547 ).

fof(c_0_3876,axiom,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    c_0_2548 ).

fof(c_0_3877,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    c_0_2549 ).

fof(c_0_3878,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    c_0_2550 ).

fof(c_0_3879,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    c_0_2551 ).

fof(c_0_3880,axiom,
    class_RealVector_Odist__norm(tc_Complex_Ocomplex),
    c_0_2552 ).

fof(c_0_3881,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    c_0_2553 ).

fof(c_0_3882,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    c_0_2554 ).

fof(c_0_3883,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    c_0_2555 ).

fof(c_0_3884,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    c_0_2556 ).

fof(c_0_3885,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    c_0_2557 ).

fof(c_0_3886,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    c_0_2558 ).

fof(c_0_3887,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    c_0_2559 ).

fof(c_0_3888,axiom,
    class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex),
    c_0_2560 ).

fof(c_0_3889,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    c_0_2561 ).

fof(c_0_3890,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    c_0_2562 ).

fof(c_0_3891,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    c_0_2563 ).

fof(c_0_3892,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    c_0_2564 ).

fof(c_0_3893,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    c_0_2565 ).

fof(c_0_3894,axiom,
    class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex),
    c_0_2566 ).

fof(c_0_3895,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    c_0_2567 ).

fof(c_0_3896,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    c_0_2568 ).

fof(c_0_3897,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    c_0_2569 ).

fof(c_0_3898,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    c_0_2570 ).

fof(c_0_3899,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    c_0_2571 ).

fof(c_0_3900,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    c_0_2572 ).

fof(c_0_3901,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    c_0_2573 ).

fof(c_0_3902,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    c_0_2574 ).

fof(c_0_3903,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    c_0_2575 ).

fof(c_0_3904,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    c_0_2576 ).

fof(c_0_3905,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    c_0_2577 ).

fof(c_0_3906,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    c_0_2578 ).

fof(c_0_3907,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    c_0_2579 ).

fof(c_0_3908,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    c_0_2580 ).

fof(c_0_3909,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    c_0_2581 ).

fof(c_0_3910,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    c_0_2582 ).

fof(c_0_3911,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    c_0_2583 ).

fof(c_0_3912,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    c_0_2584 ).

fof(c_0_3913,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    c_0_2585 ).

fof(c_0_3914,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    c_0_2586 ).

fof(c_0_3915,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    c_0_2587 ).

fof(c_0_3916,axiom,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    c_0_2588 ).

fof(c_0_3917,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    c_0_2589 ).

fof(c_0_3918,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    c_0_2590 ).

fof(c_0_3919,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    c_0_2591 ).

fof(c_0_3920,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    c_0_2592 ).

fof(c_0_3921,axiom,
    class_RealVector_Odist__norm(tc_RealDef_Oreal),
    c_0_2593 ).

fof(c_0_3922,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    c_0_2594 ).

fof(c_0_3923,axiom,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    c_0_2595 ).

fof(c_0_3924,axiom,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    c_0_2596 ).

fof(c_0_3925,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    c_0_2597 ).

fof(c_0_3926,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    c_0_2598 ).

fof(c_0_3927,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    c_0_2599 ).

fof(c_0_3928,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    c_0_2600 ).

fof(c_0_3929,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    c_0_2601 ).

fof(c_0_3930,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    c_0_2602 ).

fof(c_0_3931,axiom,
    class_RealVector_Osgn__div__norm(tc_RealDef_Oreal),
    c_0_2603 ).

fof(c_0_3932,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    c_0_2604 ).

fof(c_0_3933,axiom,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    c_0_2605 ).

fof(c_0_3934,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    c_0_2606 ).

fof(c_0_3935,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    c_0_2607 ).

fof(c_0_3936,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    c_0_2608 ).

fof(c_0_3937,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    c_0_2609 ).

fof(c_0_3938,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    c_0_2610 ).

fof(c_0_3939,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    c_0_2611 ).

fof(c_0_3940,axiom,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    c_0_2612 ).

fof(c_0_3941,axiom,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    c_0_2613 ).

fof(c_0_3942,axiom,
    class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal),
    c_0_2614 ).

fof(c_0_3943,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    c_0_2615 ).

fof(c_0_3944,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    c_0_2616 ).

fof(c_0_3945,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    c_0_2617 ).

fof(c_0_3946,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    c_0_2618 ).

fof(c_0_3947,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    c_0_2619 ).

fof(c_0_3948,axiom,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    c_0_2620 ).

fof(c_0_3949,axiom,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    c_0_2621 ).

fof(c_0_3950,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    c_0_2622 ).

fof(c_0_3951,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    c_0_2623 ).

fof(c_0_3952,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    c_0_2624 ).

fof(c_0_3953,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    c_0_2625 ).

fof(c_0_3954,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    c_0_2626 ).

fof(c_0_3955,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    c_0_2627 ).

fof(c_0_3956,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    c_0_2628 ).

fof(c_0_3957,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    c_0_2629 ).

fof(c_0_3958,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    c_0_2630 ).

fof(c_0_3959,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    c_0_2631 ).

fof(c_0_3960,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    c_0_2632 ).

fof(c_0_3961,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    c_0_2633 ).

fof(c_0_3962,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    c_0_2634 ).

fof(c_0_3963,axiom,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    c_0_2635 ).

fof(c_0_3964,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    c_0_2636 ).

fof(c_0_3965,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    c_0_2637 ).

fof(c_0_3966,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    c_0_2638 ).

fof(c_0_3967,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    c_0_2639 ).

fof(c_0_3968,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    c_0_2640 ).

fof(c_0_3969,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    c_0_2641 ).

fof(c_0_3970,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    c_0_2642 ).

fof(c_0_3971,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_2643 ).

fof(c_0_3972,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    c_0_2644 ).

fof(c_0_3973,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    c_0_2645 ).

fof(c_0_3974,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    c_0_2646 ).

fof(c_0_3975,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    c_0_2647 ).

fof(c_0_3976,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_2648 ).

fof(c_0_3977,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    c_0_2649 ).

fof(c_0_3978,axiom,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    c_0_2650 ).

fof(c_0_3979,axiom,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    c_0_2651 ).

fof(c_0_3980,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    c_0_2652 ).

fof(c_0_3981,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    c_0_2653 ).

fof(c_0_3982,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    c_0_2654 ).

fof(c_0_3983,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_2655 ).

cnf(c_0_3984,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2656]) ).

cnf(c_0_3985,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2657]) ).

cnf(c_0_3986,plain,
    c_HOL_Ominus__class_Ominus(hAPP(X1,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X1,X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2658]) ).

cnf(c_0_3987,plain,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2659]) ).

cnf(c_0_3988,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2660]) ).

cnf(c_0_3989,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2661]) ).

cnf(c_0_3990,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2662]) ).

cnf(c_0_3991,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2663]) ).

cnf(c_0_3992,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2664]) ).

cnf(c_0_3993,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2665]) ).

cnf(c_0_3994,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2666]) ).

cnf(c_0_3995,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2667]) ).

cnf(c_0_3996,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2668]) ).

cnf(c_0_3997,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2669]) ).

cnf(c_0_3998,plain,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2670]) ).

cnf(c_0_3999,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2671]) ).

cnf(c_0_4000,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2672]) ).

cnf(c_0_4001,plain,
    ( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2673]) ).

cnf(c_0_4002,plain,
    ( c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2674]) ).

cnf(c_0_4003,plain,
    ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) = c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2675]) ).

cnf(c_0_4004,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2676]) ).

cnf(c_0_4005,plain,
    c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2677]) ).

cnf(c_0_4006,plain,
    ( ~ 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)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2678]) ).

cnf(c_0_4007,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2679]) ).

cnf(c_0_4008,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2680]) ).

cnf(c_0_4009,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2681]) ).

cnf(c_0_4010,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2682]) ).

cnf(c_0_4011,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2683]) ).

cnf(c_0_4012,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2684]) ).

cnf(c_0_4013,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2685]) ).

cnf(c_0_4014,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2686]) ).

cnf(c_0_4015,plain,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2687]) ).

cnf(c_0_4016,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2688]) ).

cnf(c_0_4017,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2689]) ).

cnf(c_0_4018,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2690]) ).

cnf(c_0_4019,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2691]) ).

cnf(c_0_4020,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2692]) ).

cnf(c_0_4021,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2693]) ).

cnf(c_0_4022,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2694]) ).

cnf(c_0_4023,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Osemiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2695]) ).

cnf(c_0_4024,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2696]) ).

cnf(c_0_4025,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2697]) ).

cnf(c_0_4026,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2698]) ).

cnf(c_0_4027,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2699]) ).

cnf(c_0_4028,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2700]) ).

cnf(c_0_4029,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2701]) ).

cnf(c_0_4030,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2702]) ).

cnf(c_0_4031,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2703]) ).

cnf(c_0_4032,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2704]) ).

cnf(c_0_4033,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2705]) ).

cnf(c_0_4034,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2706]) ).

cnf(c_0_4035,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2707]) ).

cnf(c_0_4036,plain,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2708]) ).

cnf(c_0_4037,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2709]) ).

cnf(c_0_4038,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2710]) ).

cnf(c_0_4039,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2711]) ).

cnf(c_0_4040,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2712]) ).

cnf(c_0_4041,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2713]) ).

cnf(c_0_4042,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2714]) ).

cnf(c_0_4043,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2715]) ).

cnf(c_0_4044,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2716]) ).

cnf(c_0_4045,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2717]) ).

cnf(c_0_4046,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2718]) ).

cnf(c_0_4047,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2719]) ).

cnf(c_0_4048,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2720]) ).

cnf(c_0_4049,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X4,X1,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2721]) ).

cnf(c_0_4050,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X2,X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2722]) ).

cnf(c_0_4051,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2723]) ).

cnf(c_0_4052,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2724]) ).

cnf(c_0_4053,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2725]) ).

cnf(c_0_4054,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2726]) ).

cnf(c_0_4055,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2727]) ).

cnf(c_0_4056,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2728]) ).

cnf(c_0_4057,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2729]) ).

cnf(c_0_4058,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2730]) ).

cnf(c_0_4059,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2731]) ).

cnf(c_0_4060,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2732]) ).

cnf(c_0_4061,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2733]) ).

cnf(c_0_4062,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2734]) ).

cnf(c_0_4063,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2735]) ).

cnf(c_0_4064,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2736]) ).

cnf(c_0_4065,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2737]) ).

cnf(c_0_4066,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2738]) ).

cnf(c_0_4067,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2739]) ).

cnf(c_0_4068,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2740]) ).

cnf(c_0_4069,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2741]) ).

cnf(c_0_4070,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2742]) ).

cnf(c_0_4071,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2743]) ).

cnf(c_0_4072,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2744]) ).

cnf(c_0_4073,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2745]) ).

cnf(c_0_4074,plain,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2746]) ).

cnf(c_0_4075,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2747]) ).

cnf(c_0_4076,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2748]) ).

cnf(c_0_4077,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2749]) ).

cnf(c_0_4078,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2750]) ).

cnf(c_0_4079,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2751]) ).

cnf(c_0_4080,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2752]) ).

cnf(c_0_4081,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2753]) ).

cnf(c_0_4082,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2754]) ).

cnf(c_0_4083,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2755]) ).

cnf(c_0_4084,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2756]) ).

cnf(c_0_4085,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2757]) ).

cnf(c_0_4086,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2758]) ).

cnf(c_0_4087,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2759]) ).

cnf(c_0_4088,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2760]) ).

cnf(c_0_4089,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2761]) ).

cnf(c_0_4090,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2762]) ).

cnf(c_0_4091,plain,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(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) ),
    inference(split_conjunct,[status(thm)],[c_0_2763]) ).

cnf(c_0_4092,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2764]) ).

cnf(c_0_4093,plain,
    ( c_lessequals(X4,X3,X2)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2765]) ).

cnf(c_0_4094,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2766]) ).

cnf(c_0_4095,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2767]) ).

cnf(c_0_4096,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2768]) ).

cnf(c_0_4097,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2769]) ).

cnf(c_0_4098,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2770]) ).

cnf(c_0_4099,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2771]) ).

cnf(c_0_4100,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2772]) ).

cnf(c_0_4101,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2773]) ).

cnf(c_0_4102,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2774]) ).

cnf(c_0_4103,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2775]) ).

cnf(c_0_4104,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2776]) ).

cnf(c_0_4105,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2777]) ).

cnf(c_0_4106,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2778]) ).

cnf(c_0_4107,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2779]) ).

cnf(c_0_4108,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2780]) ).

cnf(c_0_4109,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2781]) ).

cnf(c_0_4110,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2782]) ).

cnf(c_0_4111,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2783]) ).

cnf(c_0_4112,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2784]) ).

cnf(c_0_4113,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2785]) ).

cnf(c_0_4114,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2786]) ).

cnf(c_0_4115,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2787]) ).

cnf(c_0_4116,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2788]) ).

cnf(c_0_4117,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2789]) ).

cnf(c_0_4118,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2790]) ).

cnf(c_0_4119,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2791]) ).

cnf(c_0_4120,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2792]) ).

cnf(c_0_4121,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2793]) ).

cnf(c_0_4122,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2794]) ).

cnf(c_0_4123,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2795]) ).

cnf(c_0_4124,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2796]) ).

cnf(c_0_4125,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2797]) ).

cnf(c_0_4126,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2798]) ).

cnf(c_0_4127,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2799]) ).

cnf(c_0_4128,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2800]) ).

cnf(c_0_4129,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2801]) ).

cnf(c_0_4130,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2802]) ).

cnf(c_0_4131,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2803]) ).

cnf(c_0_4132,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2804]) ).

cnf(c_0_4133,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2805]) ).

cnf(c_0_4134,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2806]) ).

cnf(c_0_4135,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2807]) ).

cnf(c_0_4136,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2808]) ).

cnf(c_0_4137,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2809]) ).

cnf(c_0_4138,plain,
    ( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2810]) ).

cnf(c_0_4139,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2811]) ).

cnf(c_0_4140,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2812]) ).

cnf(c_0_4141,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2813]) ).

cnf(c_0_4142,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2814]) ).

cnf(c_0_4143,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2815]) ).

cnf(c_0_4144,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2816]) ).

cnf(c_0_4145,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2817]) ).

cnf(c_0_4146,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2818]) ).

cnf(c_0_4147,plain,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2819]) ).

cnf(c_0_4148,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2820]) ).

cnf(c_0_4149,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2821]) ).

cnf(c_0_4150,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2822]) ).

cnf(c_0_4151,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2823]) ).

cnf(c_0_4152,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2824]) ).

cnf(c_0_4153,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2825]) ).

cnf(c_0_4154,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2826]) ).

cnf(c_0_4155,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2827]) ).

cnf(c_0_4156,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2828]) ).

cnf(c_0_4157,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2829]) ).

cnf(c_0_4158,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2830]) ).

cnf(c_0_4159,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2831]) ).

cnf(c_0_4160,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2832]) ).

cnf(c_0_4161,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2833]) ).

cnf(c_0_4162,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2834]) ).

cnf(c_0_4163,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2835]) ).

cnf(c_0_4164,plain,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2836]) ).

cnf(c_0_4165,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2837]) ).

cnf(c_0_4166,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2838]) ).

cnf(c_0_4167,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2839]) ).

cnf(c_0_4168,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2840]) ).

cnf(c_0_4169,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2841]) ).

cnf(c_0_4170,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2842]) ).

cnf(c_0_4171,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2843]) ).

cnf(c_0_4172,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2844]) ).

cnf(c_0_4173,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2845]) ).

cnf(c_0_4174,plain,
    ( c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2846]) ).

cnf(c_0_4175,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2847]) ).

cnf(c_0_4176,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2848]) ).

cnf(c_0_4177,plain,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2849]) ).

cnf(c_0_4178,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2850]) ).

cnf(c_0_4179,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2851]) ).

cnf(c_0_4180,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2852]) ).

cnf(c_0_4181,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2853]) ).

cnf(c_0_4182,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2854]) ).

cnf(c_0_4183,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2855]) ).

cnf(c_0_4184,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2856]) ).

cnf(c_0_4185,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2857]) ).

cnf(c_0_4186,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2858]) ).

cnf(c_0_4187,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2859]) ).

cnf(c_0_4188,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2860]) ).

cnf(c_0_4189,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2861]) ).

cnf(c_0_4190,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2862]) ).

cnf(c_0_4191,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2863]) ).

cnf(c_0_4192,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2864]) ).

cnf(c_0_4193,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2865]) ).

cnf(c_0_4194,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2866]) ).

cnf(c_0_4195,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2867]) ).

cnf(c_0_4196,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2868]) ).

cnf(c_0_4197,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2869]) ).

cnf(c_0_4198,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2870]) ).

cnf(c_0_4199,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2871]) ).

cnf(c_0_4200,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2872]) ).

cnf(c_0_4201,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2873]) ).

cnf(c_0_4202,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2874]) ).

cnf(c_0_4203,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2875]) ).

cnf(c_0_4204,plain,
    ( c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2876]) ).

cnf(c_0_4205,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2877]) ).

cnf(c_0_4206,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2878]) ).

cnf(c_0_4207,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2879]) ).

cnf(c_0_4208,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2880]) ).

cnf(c_0_4209,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2881]) ).

cnf(c_0_4210,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2882]) ).

cnf(c_0_4211,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2883]) ).

cnf(c_0_4212,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2884]) ).

cnf(c_0_4213,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2885]) ).

cnf(c_0_4214,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2886]) ).

cnf(c_0_4215,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2887]) ).

cnf(c_0_4216,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2888]) ).

cnf(c_0_4217,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2889]) ).

cnf(c_0_4218,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2890]) ).

cnf(c_0_4219,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2891]) ).

cnf(c_0_4220,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2892]) ).

cnf(c_0_4221,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2893]) ).

cnf(c_0_4222,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2894]) ).

cnf(c_0_4223,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2895]) ).

cnf(c_0_4224,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2896]) ).

cnf(c_0_4225,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2897]) ).

cnf(c_0_4226,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2898]) ).

cnf(c_0_4227,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2899]) ).

cnf(c_0_4228,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2900]) ).

cnf(c_0_4229,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2901]) ).

cnf(c_0_4230,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2902]) ).

cnf(c_0_4231,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2903]) ).

cnf(c_0_4232,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2904]) ).

cnf(c_0_4233,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2905]) ).

cnf(c_0_4234,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2906]) ).

cnf(c_0_4235,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2907]) ).

cnf(c_0_4236,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2908]) ).

cnf(c_0_4237,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2909]) ).

cnf(c_0_4238,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2910]) ).

cnf(c_0_4239,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2911]) ).

cnf(c_0_4240,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2912]) ).

cnf(c_0_4241,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2913]) ).

cnf(c_0_4242,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2914]) ).

cnf(c_0_4243,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2915]) ).

cnf(c_0_4244,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2916]) ).

cnf(c_0_4245,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2917]) ).

cnf(c_0_4246,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2918]) ).

cnf(c_0_4247,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2919]) ).

cnf(c_0_4248,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2920]) ).

cnf(c_0_4249,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2921]) ).

cnf(c_0_4250,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2922]) ).

cnf(c_0_4251,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2923]) ).

cnf(c_0_4252,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2924]) ).

cnf(c_0_4253,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2925]) ).

cnf(c_0_4254,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2926]) ).

cnf(c_0_4255,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2927]) ).

cnf(c_0_4256,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2928]) ).

cnf(c_0_4257,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2929]) ).

cnf(c_0_4258,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2930]) ).

cnf(c_0_4259,plain,
    ( 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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2931]) ).

cnf(c_0_4260,plain,
    ( 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2932]) ).

cnf(c_0_4261,plain,
    ( 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2933]) ).

cnf(c_0_4262,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2934]) ).

cnf(c_0_4263,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2935]) ).

cnf(c_0_4264,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_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2936]) ).

cnf(c_0_4265,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2937]) ).

cnf(c_0_4266,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2938]) ).

cnf(c_0_4267,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2939]) ).

cnf(c_0_4268,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2940]) ).

cnf(c_0_4269,plain,
    ( c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X1),X2),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X2,X2),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2941]) ).

cnf(c_0_4270,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2942]) ).

cnf(c_0_4271,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2943]) ).

cnf(c_0_4272,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2944]) ).

cnf(c_0_4273,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2945]) ).

cnf(c_0_4274,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2946]) ).

cnf(c_0_4275,plain,
    c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2947]) ).

cnf(c_0_4276,plain,
    c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2948]) ).

cnf(c_0_4277,plain,
    c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2949]) ).

cnf(c_0_4278,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2950]) ).

cnf(c_0_4279,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2951]) ).

cnf(c_0_4280,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2952]) ).

cnf(c_0_4281,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2953]) ).

cnf(c_0_4282,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2954]) ).

cnf(c_0_4283,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2955]) ).

cnf(c_0_4284,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2956]) ).

cnf(c_0_4285,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2957]) ).

cnf(c_0_4286,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2958]) ).

cnf(c_0_4287,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2959]) ).

cnf(c_0_4288,plain,
    ( c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2960]) ).

cnf(c_0_4289,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2961]) ).

cnf(c_0_4290,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_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2962]) ).

cnf(c_0_4291,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2963]) ).

cnf(c_0_4292,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2964]) ).

cnf(c_0_4293,plain,
    ( c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2965]) ).

cnf(c_0_4294,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,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),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2966]) ).

cnf(c_0_4295,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2967]) ).

cnf(c_0_4296,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_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2968]) ).

cnf(c_0_4297,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_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2969]) ).

cnf(c_0_4298,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(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2970]) ).

cnf(c_0_4299,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(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2971]) ).

cnf(c_0_4300,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(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2972]) ).

cnf(c_0_4301,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(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2973]) ).

cnf(c_0_4302,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2974]) ).

cnf(c_0_4303,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2975]) ).

cnf(c_0_4304,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_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2976]) ).

cnf(c_0_4305,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_2977]) ).

cnf(c_0_4306,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2978]) ).

cnf(c_0_4307,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2979]) ).

cnf(c_0_4308,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2980]) ).

cnf(c_0_4309,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2981]) ).

cnf(c_0_4310,plain,
    ( c_lessequals(c_Transcendental_Oln(X1),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2982]) ).

cnf(c_0_4311,plain,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2983]) ).

cnf(c_0_4312,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2984]) ).

cnf(c_0_4313,plain,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2985]) ).

cnf(c_0_4314,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2986]) ).

cnf(c_0_4315,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2987]) ).

cnf(c_0_4316,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2988]) ).

cnf(c_0_4317,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2989]) ).

cnf(c_0_4318,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2990]) ).

cnf(c_0_4319,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2991]) ).

cnf(c_0_4320,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2992]) ).

cnf(c_0_4321,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2993]) ).

cnf(c_0_4322,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2994]) ).

cnf(c_0_4323,plain,
    ( c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2995]) ).

cnf(c_0_4324,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2996]) ).

cnf(c_0_4325,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2997]) ).

cnf(c_0_4326,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2998]) ).

cnf(c_0_4327,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ 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_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2999]) ).

cnf(c_0_4328,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3000]) ).

cnf(c_0_4329,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3001]) ).

cnf(c_0_4330,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3002]) ).

cnf(c_0_4331,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3003]) ).

cnf(c_0_4332,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3004]) ).

cnf(c_0_4333,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3005]) ).

cnf(c_0_4334,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3006]) ).

cnf(c_0_4335,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3007]) ).

cnf(c_0_4336,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3008]) ).

cnf(c_0_4337,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3009]) ).

cnf(c_0_4338,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3010]) ).

cnf(c_0_4339,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3011]) ).

cnf(c_0_4340,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3012]) ).

cnf(c_0_4341,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(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) ),
    inference(split_conjunct,[status(thm)],[c_0_3013]) ).

cnf(c_0_4342,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3014]) ).

cnf(c_0_4343,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3015]) ).

cnf(c_0_4344,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3016]) ).

cnf(c_0_4345,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3017]) ).

cnf(c_0_4346,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3018]) ).

cnf(c_0_4347,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3019]) ).

cnf(c_0_4348,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3020]) ).

cnf(c_0_4349,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3021]) ).

cnf(c_0_4350,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3022]) ).

cnf(c_0_4351,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ 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__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3023]) ).

cnf(c_0_4352,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3024]) ).

cnf(c_0_4353,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3025]) ).

cnf(c_0_4354,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3026]) ).

cnf(c_0_4355,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3027]) ).

cnf(c_0_4356,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3028]) ).

cnf(c_0_4357,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3029]) ).

cnf(c_0_4358,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3030]) ).

cnf(c_0_4359,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3031]) ).

cnf(c_0_4360,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3032]) ).

cnf(c_0_4361,plain,
    ( c_lessequals(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_lessequals(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),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3033]) ).

cnf(c_0_4362,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3034]) ).

cnf(c_0_4363,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3035]) ).

cnf(c_0_4364,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3036]) ).

cnf(c_0_4365,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3037]) ).

cnf(c_0_4366,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3038]) ).

cnf(c_0_4367,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3039]) ).

cnf(c_0_4368,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3040]) ).

cnf(c_0_4369,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3041]) ).

cnf(c_0_4370,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3042]) ).

cnf(c_0_4371,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3043]) ).

cnf(c_0_4372,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3044]) ).

cnf(c_0_4373,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3045]) ).

cnf(c_0_4374,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3046]) ).

cnf(c_0_4375,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_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3047]) ).

cnf(c_0_4376,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3048]) ).

cnf(c_0_4377,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3049]) ).

cnf(c_0_4378,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3050]) ).

cnf(c_0_4379,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3051]) ).

cnf(c_0_4380,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3052]) ).

cnf(c_0_4381,plain,
    ( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3053]) ).

cnf(c_0_4382,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3054]) ).

cnf(c_0_4383,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3055]) ).

cnf(c_0_4384,plain,
    ( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3056]) ).

cnf(c_0_4385,plain,
    ( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3057]) ).

cnf(c_0_4386,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3058]) ).

cnf(c_0_4387,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3059]) ).

cnf(c_0_4388,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3060]) ).

cnf(c_0_4389,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3061]) ).

cnf(c_0_4390,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3062]) ).

cnf(c_0_4391,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3063]) ).

cnf(c_0_4392,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3064]) ).

cnf(c_0_4393,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3065]) ).

cnf(c_0_4394,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3066]) ).

cnf(c_0_4395,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3067]) ).

cnf(c_0_4396,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3068]) ).

cnf(c_0_4397,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3069]) ).

cnf(c_0_4398,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3070]) ).

cnf(c_0_4399,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3071]) ).

cnf(c_0_4400,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3072]) ).

cnf(c_0_4401,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3073]) ).

cnf(c_0_4402,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3074]) ).

cnf(c_0_4403,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3075]) ).

cnf(c_0_4404,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3076]) ).

cnf(c_0_4405,plain,
    ( 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),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3077]) ).

cnf(c_0_4406,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3078]) ).

cnf(c_0_4407,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3079]) ).

cnf(c_0_4408,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3080]) ).

cnf(c_0_4409,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3081]) ).

cnf(c_0_4410,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3082]) ).

cnf(c_0_4411,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(split_conjunct,[status(thm)],[c_0_3083]) ).

cnf(c_0_4412,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(split_conjunct,[status(thm)],[c_0_3084]) ).

cnf(c_0_4413,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(split_conjunct,[status(thm)],[c_0_3085]) ).

cnf(c_0_4414,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(split_conjunct,[status(thm)],[c_0_3086]) ).

cnf(c_0_4415,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(split_conjunct,[status(thm)],[c_0_3087]) ).

cnf(c_0_4416,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3088]) ).

cnf(c_0_4417,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3089]) ).

cnf(c_0_4418,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3090]) ).

cnf(c_0_4419,plain,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3091]) ).

cnf(c_0_4420,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3092]) ).

cnf(c_0_4421,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3093]) ).

cnf(c_0_4422,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3094]) ).

cnf(c_0_4423,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3095]) ).

cnf(c_0_4424,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3096]) ).

cnf(c_0_4425,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3097]) ).

cnf(c_0_4426,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3098]) ).

cnf(c_0_4427,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3099]) ).

cnf(c_0_4428,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3100]) ).

cnf(c_0_4429,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3101]) ).

cnf(c_0_4430,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3102]) ).

cnf(c_0_4431,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3103]) ).

cnf(c_0_4432,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3104]) ).

cnf(c_0_4433,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3105]) ).

cnf(c_0_4434,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3106]) ).

cnf(c_0_4435,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3107]) ).

cnf(c_0_4436,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3108]) ).

cnf(c_0_4437,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3109]) ).

cnf(c_0_4438,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3110]) ).

cnf(c_0_4439,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3111]) ).

cnf(c_0_4440,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3112]) ).

cnf(c_0_4441,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3113]) ).

cnf(c_0_4442,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3114]) ).

cnf(c_0_4443,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3115]) ).

cnf(c_0_4444,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3116]) ).

cnf(c_0_4445,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3117]) ).

cnf(c_0_4446,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3118]) ).

cnf(c_0_4447,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3119]) ).

cnf(c_0_4448,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3120]) ).

cnf(c_0_4449,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3121]) ).

cnf(c_0_4450,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3122]) ).

cnf(c_0_4451,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3123]) ).

cnf(c_0_4452,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3124]) ).

cnf(c_0_4453,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3125]) ).

cnf(c_0_4454,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3126]) ).

cnf(c_0_4455,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3127]) ).

cnf(c_0_4456,plain,
    ( 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),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3128]) ).

cnf(c_0_4457,plain,
    ( 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),X1,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(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3129]) ).

cnf(c_0_4458,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3130]) ).

cnf(c_0_4459,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3131]) ).

cnf(c_0_4460,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3132]) ).

cnf(c_0_4461,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3133]) ).

cnf(c_0_4462,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3134]) ).

cnf(c_0_4463,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3135]) ).

cnf(c_0_4464,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3136]) ).

cnf(c_0_4465,plain,
    c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3137]) ).

cnf(c_0_4466,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3138]) ).

cnf(c_0_4467,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3139]) ).

cnf(c_0_4468,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3140]) ).

cnf(c_0_4469,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3141]) ).

cnf(c_0_4470,plain,
    ( c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3142]) ).

cnf(c_0_4471,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3143]) ).

cnf(c_0_4472,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3144]) ).

cnf(c_0_4473,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3145]) ).

cnf(c_0_4474,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3146]) ).

cnf(c_0_4475,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3147]) ).

cnf(c_0_4476,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3148]) ).

cnf(c_0_4477,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3149]) ).

cnf(c_0_4478,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3150]) ).

cnf(c_0_4479,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3151]) ).

cnf(c_0_4480,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3152]) ).

cnf(c_0_4481,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(split_conjunct,[status(thm)],[c_0_3153]) ).

cnf(c_0_4482,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3154]) ).

cnf(c_0_4483,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3155]) ).

cnf(c_0_4484,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3156]) ).

cnf(c_0_4485,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3157]) ).

cnf(c_0_4486,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3158]) ).

cnf(c_0_4487,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3159]) ).

cnf(c_0_4488,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3160]) ).

cnf(c_0_4489,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3161]) ).

cnf(c_0_4490,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3162]) ).

cnf(c_0_4491,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3163]) ).

cnf(c_0_4492,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3164]) ).

cnf(c_0_4493,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3165]) ).

cnf(c_0_4494,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3166]) ).

cnf(c_0_4495,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3167]) ).

cnf(c_0_4496,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3168]) ).

cnf(c_0_4497,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3169]) ).

cnf(c_0_4498,plain,
    ( c_Log_Olog(X3,c_Log_Opowr(X1,X2)) = c_HOL_Otimes__class_Otimes(X2,c_Log_Olog(X3,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3170]) ).

cnf(c_0_4499,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3171]) ).

cnf(c_0_4500,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3172]) ).

cnf(c_0_4501,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3173]) ).

cnf(c_0_4502,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3174]) ).

cnf(c_0_4503,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3175]) ).

cnf(c_0_4504,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3176]) ).

cnf(c_0_4505,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3177]) ).

cnf(c_0_4506,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3178]) ).

cnf(c_0_4507,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3179]) ).

cnf(c_0_4508,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3180]) ).

cnf(c_0_4509,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3181]) ).

cnf(c_0_4510,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(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)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3182]) ).

cnf(c_0_4511,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3183]) ).

cnf(c_0_4512,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3184]) ).

cnf(c_0_4513,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3185]) ).

cnf(c_0_4514,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3186]) ).

cnf(c_0_4515,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3187]) ).

cnf(c_0_4516,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3188]) ).

cnf(c_0_4517,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3189]) ).

cnf(c_0_4518,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3190]) ).

cnf(c_0_4519,plain,
    ( c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3191]) ).

cnf(c_0_4520,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3192]) ).

cnf(c_0_4521,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3193]) ).

cnf(c_0_4522,plain,
    ( c_lessequals(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3194]) ).

cnf(c_0_4523,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3195]) ).

cnf(c_0_4524,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3196]) ).

cnf(c_0_4525,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3197]) ).

cnf(c_0_4526,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3198]) ).

cnf(c_0_4527,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3199]) ).

cnf(c_0_4528,plain,
    ~ 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),
    inference(split_conjunct,[status(thm)],[c_0_3200]) ).

cnf(c_0_4529,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3201]) ).

cnf(c_0_4530,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3202]) ).

cnf(c_0_4531,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3203]) ).

cnf(c_0_4532,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3204]) ).

cnf(c_0_4533,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3205]) ).

cnf(c_0_4534,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3206]) ).

cnf(c_0_4535,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3207]) ).

cnf(c_0_4536,plain,
    ( c_Transcendental_Oln(c_Log_Opowr(X1,X2)) = c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3208]) ).

cnf(c_0_4537,plain,
    ( X1 = X2
    | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3209]) ).

cnf(c_0_4538,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3210]) ).

cnf(c_0_4539,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3211]) ).

cnf(c_0_4540,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3212]) ).

cnf(c_0_4541,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3213]) ).

cnf(c_0_4542,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3214]) ).

cnf(c_0_4543,plain,
    ( c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3215]) ).

cnf(c_0_4544,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3216]) ).

cnf(c_0_4545,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3217]) ).

cnf(c_0_4546,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3218]) ).

cnf(c_0_4547,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3219]) ).

cnf(c_0_4548,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3220]) ).

cnf(c_0_4549,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3221]) ).

cnf(c_0_4550,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3222]) ).

cnf(c_0_4551,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3223]) ).

cnf(c_0_4552,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3224]) ).

cnf(c_0_4553,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3225]) ).

cnf(c_0_4554,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3226]) ).

cnf(c_0_4555,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3227]) ).

cnf(c_0_4556,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3228]) ).

cnf(c_0_4557,plain,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3229]) ).

cnf(c_0_4558,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3230]) ).

cnf(c_0_4559,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3231]) ).

cnf(c_0_4560,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3232]) ).

cnf(c_0_4561,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3233]) ).

cnf(c_0_4562,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3234]) ).

cnf(c_0_4563,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3235]) ).

cnf(c_0_4564,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3236]) ).

cnf(c_0_4565,plain,
    ( c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_SEQ_Obanach(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3237]) ).

cnf(c_0_4566,plain,
    ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3238]) ).

cnf(c_0_4567,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3239]) ).

cnf(c_0_4568,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3240]) ).

cnf(c_0_4569,plain,
    ( c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_SEQ_Obanach(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3241]) ).

cnf(c_0_4570,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_RealVector_Oreal__div__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3242]) ).

cnf(c_0_4571,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3243]) ).

cnf(c_0_4572,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3244]) ).

cnf(c_0_4573,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3245]) ).

cnf(c_0_4574,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3246]) ).

cnf(c_0_4575,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3247]) ).

cnf(c_0_4576,plain,
    ( c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3248]) ).

cnf(c_0_4577,plain,
    ( c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3249]) ).

cnf(c_0_4578,plain,
    ( c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3250]) ).

cnf(c_0_4579,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_RealVector_Oreal__div__algebra(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3251]) ).

cnf(c_0_4580,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3252]) ).

cnf(c_0_4581,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3253]) ).

cnf(c_0_4582,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3254]) ).

cnf(c_0_4583,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3255]) ).

cnf(c_0_4584,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3256]) ).

cnf(c_0_4585,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3257]) ).

cnf(c_0_4586,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3258]) ).

cnf(c_0_4587,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3259]) ).

cnf(c_0_4588,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3260]) ).

cnf(c_0_4589,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3261]) ).

cnf(c_0_4590,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3262]) ).

cnf(c_0_4591,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3263]) ).

cnf(c_0_4592,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3264]) ).

cnf(c_0_4593,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3265]) ).

cnf(c_0_4594,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3266]) ).

cnf(c_0_4595,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3267]) ).

cnf(c_0_4596,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3268]) ).

cnf(c_0_4597,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3269]) ).

cnf(c_0_4598,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3270]) ).

cnf(c_0_4599,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3271]) ).

cnf(c_0_4600,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3272]) ).

cnf(c_0_4601,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3273]) ).

cnf(c_0_4602,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3274]) ).

cnf(c_0_4603,plain,
    ( c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3275]) ).

cnf(c_0_4604,plain,
    ( c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3276]) ).

cnf(c_0_4605,plain,
    ( c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3277]) ).

cnf(c_0_4606,plain,
    ( c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3278]) ).

cnf(c_0_4607,plain,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3279]) ).

cnf(c_0_4608,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3280]) ).

cnf(c_0_4609,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3281]) ).

cnf(c_0_4610,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3282]) ).

cnf(c_0_4611,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3283]) ).

cnf(c_0_4612,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3284]) ).

cnf(c_0_4613,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3285]) ).

cnf(c_0_4614,plain,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3286]) ).

cnf(c_0_4615,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3287]) ).

cnf(c_0_4616,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3288]) ).

cnf(c_0_4617,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3289]) ).

cnf(c_0_4618,plain,
    c_Log_Opowr(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3290]) ).

cnf(c_0_4619,plain,
    c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) = c_Log_Opowr(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[c_0_3291]) ).

cnf(c_0_4620,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_Log_Olog(X1,X2)) = X2
    | ~ 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),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3292]) ).

cnf(c_0_4621,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3293]) ).

cnf(c_0_4622,plain,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3294]) ).

cnf(c_0_4623,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3295]) ).

cnf(c_0_4624,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3296]) ).

cnf(c_0_4625,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3297]) ).

cnf(c_0_4626,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3298]) ).

cnf(c_0_4627,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3299]) ).

cnf(c_0_4628,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3300]) ).

cnf(c_0_4629,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3301]) ).

cnf(c_0_4630,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3302]) ).

cnf(c_0_4631,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3303]) ).

cnf(c_0_4632,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3304]) ).

cnf(c_0_4633,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3305]) ).

cnf(c_0_4634,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3306]) ).

cnf(c_0_4635,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3307]) ).

cnf(c_0_4636,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3308]) ).

cnf(c_0_4637,plain,
    ( c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3309]) ).

cnf(c_0_4638,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3310]) ).

cnf(c_0_4639,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3311]) ).

cnf(c_0_4640,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_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3312]) ).

cnf(c_0_4641,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3313]) ).

cnf(c_0_4642,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3314]) ).

cnf(c_0_4643,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3315]) ).

cnf(c_0_4644,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | 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_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3316]) ).

cnf(c_0_4645,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3317]) ).

cnf(c_0_4646,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3318]) ).

cnf(c_0_4647,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3319]) ).

cnf(c_0_4648,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3320]) ).

cnf(c_0_4649,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3321]) ).

cnf(c_0_4650,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3322]) ).

cnf(c_0_4651,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3323]) ).

cnf(c_0_4652,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3324]) ).

cnf(c_0_4653,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3325]) ).

cnf(c_0_4654,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3326]) ).

cnf(c_0_4655,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3327]) ).

cnf(c_0_4656,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3328]) ).

cnf(c_0_4657,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3329]) ).

cnf(c_0_4658,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3330]) ).

cnf(c_0_4659,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3331]) ).

cnf(c_0_4660,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3332]) ).

cnf(c_0_4661,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3333]) ).

cnf(c_0_4662,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3334]) ).

cnf(c_0_4663,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3335]) ).

cnf(c_0_4664,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(split_conjunct,[status(thm)],[c_0_3336]) ).

cnf(c_0_4665,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3337]) ).

cnf(c_0_4666,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(split_conjunct,[status(thm)],[c_0_3338]) ).

cnf(c_0_4667,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3339]) ).

cnf(c_0_4668,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3340]) ).

cnf(c_0_4669,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3341]) ).

cnf(c_0_4670,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3342]) ).

cnf(c_0_4671,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3343]) ).

cnf(c_0_4672,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3344]) ).

cnf(c_0_4673,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3345]) ).

cnf(c_0_4674,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3346]) ).

cnf(c_0_4675,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3347]) ).

cnf(c_0_4676,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3348]) ).

cnf(c_0_4677,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3349]) ).

cnf(c_0_4678,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3350]) ).

cnf(c_0_4679,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3351]) ).

cnf(c_0_4680,plain,
    ( X1 = X2
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3352]) ).

cnf(c_0_4681,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3353]) ).

cnf(c_0_4682,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3354]) ).

cnf(c_0_4683,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3355]) ).

cnf(c_0_4684,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3356]) ).

cnf(c_0_4685,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3357]) ).

cnf(c_0_4686,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3358]) ).

cnf(c_0_4687,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3359]) ).

cnf(c_0_4688,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3360]) ).

cnf(c_0_4689,plain,
    ( X1 = X2
    | ~ 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),X2,tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3361]) ).

cnf(c_0_4690,plain,
    ( 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3362]) ).

cnf(c_0_4691,plain,
    ( 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3363]) ).

cnf(c_0_4692,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3364]) ).

cnf(c_0_4693,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3365]) ).

cnf(c_0_4694,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3366]) ).

cnf(c_0_4695,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3367]) ).

cnf(c_0_4696,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3368]) ).

cnf(c_0_4697,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3369]) ).

cnf(c_0_4698,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3370]) ).

cnf(c_0_4699,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3371]) ).

cnf(c_0_4700,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3372]) ).

cnf(c_0_4701,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3373]) ).

cnf(c_0_4702,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3374]) ).

cnf(c_0_4703,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3375]) ).

cnf(c_0_4704,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3376]) ).

cnf(c_0_4705,plain,
    c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3377]) ).

cnf(c_0_4706,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3378]) ).

cnf(c_0_4707,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3379]) ).

cnf(c_0_4708,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3380]) ).

cnf(c_0_4709,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3381]) ).

cnf(c_0_4710,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3382]) ).

cnf(c_0_4711,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3383]) ).

cnf(c_0_4712,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3384]) ).

cnf(c_0_4713,plain,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3385]) ).

cnf(c_0_4714,plain,
    ( c_RealVector_Odist__class_Odist(X1,X2,X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
    | ~ class_RealVector_Odist__norm(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3386]) ).

cnf(c_0_4715,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3387]) ).

cnf(c_0_4716,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3388]) ).

cnf(c_0_4717,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3389]) ).

cnf(c_0_4718,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3390]) ).

cnf(c_0_4719,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3391]) ).

cnf(c_0_4720,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3392]) ).

cnf(c_0_4721,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3393]) ).

cnf(c_0_4722,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3394]) ).

cnf(c_0_4723,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3395]) ).

cnf(c_0_4724,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3396]) ).

cnf(c_0_4725,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3397]) ).

cnf(c_0_4726,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3398]) ).

cnf(c_0_4727,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3399]) ).

cnf(c_0_4728,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3400]) ).

cnf(c_0_4729,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3401]) ).

cnf(c_0_4730,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3402]) ).

cnf(c_0_4731,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3403]) ).

cnf(c_0_4732,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3404]) ).

cnf(c_0_4733,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3405]) ).

cnf(c_0_4734,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3406]) ).

cnf(c_0_4735,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3407]) ).

cnf(c_0_4736,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3408]) ).

cnf(c_0_4737,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3409]) ).

cnf(c_0_4738,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3410]) ).

cnf(c_0_4739,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3411]) ).

cnf(c_0_4740,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3412]) ).

cnf(c_0_4741,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3413]) ).

cnf(c_0_4742,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3414]) ).

cnf(c_0_4743,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3415]) ).

cnf(c_0_4744,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3416]) ).

cnf(c_0_4745,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3417]) ).

cnf(c_0_4746,plain,
    ( X1 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3418]) ).

cnf(c_0_4747,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3419]) ).

cnf(c_0_4748,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3420]) ).

cnf(c_0_4749,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3421]) ).

cnf(c_0_4750,plain,
    c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3422]) ).

cnf(c_0_4751,plain,
    c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3423]) ).

cnf(c_0_4752,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3424]) ).

cnf(c_0_4753,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3425]) ).

cnf(c_0_4754,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3426]) ).

cnf(c_0_4755,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3427]) ).

cnf(c_0_4756,plain,
    ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3428]) ).

cnf(c_0_4757,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3429]) ).

cnf(c_0_4758,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3430]) ).

cnf(c_0_4759,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3431]) ).

cnf(c_0_4760,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3432]) ).

cnf(c_0_4761,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3433]) ).

cnf(c_0_4762,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3434]) ).

cnf(c_0_4763,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3435]) ).

cnf(c_0_4764,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3436]) ).

cnf(c_0_4765,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3437]) ).

cnf(c_0_4766,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3438]) ).

cnf(c_0_4767,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3439]) ).

cnf(c_0_4768,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3440]) ).

cnf(c_0_4769,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3441]) ).

cnf(c_0_4770,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3442]) ).

cnf(c_0_4771,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3443]) ).

cnf(c_0_4772,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3444]) ).

cnf(c_0_4773,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3445]) ).

cnf(c_0_4774,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3446]) ).

cnf(c_0_4775,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3447]) ).

cnf(c_0_4776,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3448]) ).

cnf(c_0_4777,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3449]) ).

cnf(c_0_4778,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3450]) ).

cnf(c_0_4779,plain,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3451]) ).

cnf(c_0_4780,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3452]) ).

cnf(c_0_4781,plain,
    ( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3453]) ).

cnf(c_0_4782,plain,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3454]) ).

cnf(c_0_4783,plain,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3455]) ).

cnf(c_0_4784,plain,
    ( 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)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3456]) ).

cnf(c_0_4785,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3457]) ).

cnf(c_0_4786,plain,
    c_Log_Opowr(c_Log_Opowr(X1,X2),X3) = c_Log_Opowr(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[c_0_3458]) ).

cnf(c_0_4787,plain,
    X1 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3459]) ).

cnf(c_0_4788,plain,
    X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3460]) ).

cnf(c_0_4789,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3461]) ).

cnf(c_0_4790,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3462]) ).

cnf(c_0_4791,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3463]) ).

cnf(c_0_4792,plain,
    ( ~ 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)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3464]) ).

cnf(c_0_4793,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3465]) ).

cnf(c_0_4794,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3466]) ).

cnf(c_0_4795,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3467]) ).

cnf(c_0_4796,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3468]) ).

cnf(c_0_4797,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3469]) ).

cnf(c_0_4798,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3470]) ).

cnf(c_0_4799,plain,
    ( c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3471]) ).

cnf(c_0_4800,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3472]) ).

cnf(c_0_4801,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3473]) ).

cnf(c_0_4802,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3474]) ).

cnf(c_0_4803,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3475]) ).

cnf(c_0_4804,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3476]) ).

cnf(c_0_4805,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3477]) ).

cnf(c_0_4806,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3478]) ).

cnf(c_0_4807,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3479]) ).

cnf(c_0_4808,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3480]) ).

cnf(c_0_4809,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3481]) ).

cnf(c_0_4810,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3482]) ).

cnf(c_0_4811,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3483]) ).

cnf(c_0_4812,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3484]) ).

cnf(c_0_4813,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3485]) ).

cnf(c_0_4814,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3486]) ).

cnf(c_0_4815,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3487]) ).

cnf(c_0_4816,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3488]) ).

cnf(c_0_4817,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3489]) ).

cnf(c_0_4818,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3490]) ).

cnf(c_0_4819,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3491]) ).

cnf(c_0_4820,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3492]) ).

cnf(c_0_4821,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3493]) ).

cnf(c_0_4822,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3494]) ).

cnf(c_0_4823,plain,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),X1,X2)
    | ~ class_RealVector_Osgn__div__norm(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3495]) ).

cnf(c_0_4824,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3496]) ).

cnf(c_0_4825,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3497]) ).

cnf(c_0_4826,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3498]) ).

cnf(c_0_4827,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3499]) ).

cnf(c_0_4828,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3500]) ).

cnf(c_0_4829,plain,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3501]) ).

cnf(c_0_4830,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3502]) ).

cnf(c_0_4831,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3503]) ).

cnf(c_0_4832,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3504]) ).

cnf(c_0_4833,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3505]) ).

cnf(c_0_4834,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3506]) ).

cnf(c_0_4835,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3507]) ).

cnf(c_0_4836,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3508]) ).

cnf(c_0_4837,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3509]) ).

cnf(c_0_4838,plain,
    ( c_lessequals(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3510]) ).

cnf(c_0_4839,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3511]) ).

cnf(c_0_4840,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3512]) ).

cnf(c_0_4841,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3513]) ).

cnf(c_0_4842,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3514]) ).

cnf(c_0_4843,plain,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3515]) ).

cnf(c_0_4844,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3516]) ).

cnf(c_0_4845,plain,
    c_Log_Opowr(X1,X2) = c_Transcendental_Oexp(c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3517]) ).

cnf(c_0_4846,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3518]) ).

cnf(c_0_4847,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3519]) ).

cnf(c_0_4848,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3520]) ).

cnf(c_0_4849,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3521]) ).

cnf(c_0_4850,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3522]) ).

cnf(c_0_4851,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3523]) ).

cnf(c_0_4852,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3524]) ).

cnf(c_0_4853,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3525]) ).

cnf(c_0_4854,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3526]) ).

cnf(c_0_4855,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3527]) ).

cnf(c_0_4856,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3528]) ).

cnf(c_0_4857,plain,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3529]) ).

cnf(c_0_4858,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3530]) ).

cnf(c_0_4859,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3531]) ).

cnf(c_0_4860,plain,
    ( c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3532]) ).

cnf(c_0_4861,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_Log_Opowr(X1,X2)) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3533]) ).

cnf(c_0_4862,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3534]) ).

cnf(c_0_4863,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3535]) ).

cnf(c_0_4864,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3536]) ).

cnf(c_0_4865,plain,
    c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3537]) ).

cnf(c_0_4866,plain,
    c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3538]) ).

cnf(c_0_4867,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3539]) ).

cnf(c_0_4868,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3540]) ).

cnf(c_0_4869,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3541]) ).

cnf(c_0_4870,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3542]) ).

cnf(c_0_4871,plain,
    ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3543]) ).

cnf(c_0_4872,plain,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3544]) ).

cnf(c_0_4873,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3545]) ).

cnf(c_0_4874,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3546]) ).

cnf(c_0_4875,plain,
    c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3547]) ).

cnf(c_0_4876,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3548]) ).

cnf(c_0_4877,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3549]) ).

cnf(c_0_4878,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3550]) ).

cnf(c_0_4879,plain,
    ( c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3551]) ).

cnf(c_0_4880,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3552]) ).

cnf(c_0_4881,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3553]) ).

cnf(c_0_4882,plain,
    c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3554]) ).

cnf(c_0_4883,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3555]) ).

cnf(c_0_4884,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3556]) ).

cnf(c_0_4885,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3557]) ).

cnf(c_0_4886,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3558]) ).

cnf(c_0_4887,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3559]) ).

cnf(c_0_4888,plain,
    c_Log_Opowr(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3560]) ).

cnf(c_0_4889,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) = X1
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3561]) ).

cnf(c_0_4890,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3562]) ).

cnf(c_0_4891,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3563]) ).

cnf(c_0_4892,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3564]) ).

cnf(c_0_4893,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3565]) ).

cnf(c_0_4894,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3566]) ).

cnf(c_0_4895,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3567]) ).

cnf(c_0_4896,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3568]) ).

cnf(c_0_4897,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3569]) ).

cnf(c_0_4898,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3570]) ).

cnf(c_0_4899,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3571]) ).

cnf(c_0_4900,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3572]) ).

cnf(c_0_4901,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3573]) ).

cnf(c_0_4902,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3574]) ).

cnf(c_0_4903,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3575]) ).

cnf(c_0_4904,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3576]) ).

cnf(c_0_4905,plain,
    ( c_RealVector_Odist__class_Odist(X1,X2,X3) = c_RealVector_Odist__class_Odist(X2,X1,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3577]) ).

cnf(c_0_4906,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3578]) ).

cnf(c_0_4907,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3579]) ).

cnf(c_0_4908,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3580]) ).

cnf(c_0_4909,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3581]) ).

cnf(c_0_4910,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3582]) ).

cnf(c_0_4911,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3583]) ).

cnf(c_0_4912,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3584]) ).

cnf(c_0_4913,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3585]) ).

cnf(c_0_4914,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3586]) ).

cnf(c_0_4915,plain,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3587]) ).

cnf(c_0_4916,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3588]) ).

cnf(c_0_4917,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3589]) ).

cnf(c_0_4918,plain,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3590]) ).

cnf(c_0_4919,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3591]) ).

cnf(c_0_4920,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3592]) ).

cnf(c_0_4921,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3593]) ).

cnf(c_0_4922,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3594]) ).

cnf(c_0_4923,plain,
    c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
    inference(split_conjunct,[status(thm)],[c_0_3595]) ).

cnf(c_0_4924,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3596]) ).

cnf(c_0_4925,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3597]) ).

cnf(c_0_4926,plain,
    ( c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3598]) ).

cnf(c_0_4927,plain,
    ( c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal) = X1
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3599]) ).

cnf(c_0_4928,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3600]) ).

cnf(c_0_4929,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3601]) ).

cnf(c_0_4930,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3602]) ).

cnf(c_0_4931,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 != c_HOL_Oplus__class_Oplus(X3,X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3603]) ).

cnf(c_0_4932,plain,
    ( X1 = X2
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3604]) ).

cnf(c_0_4933,plain,
    ( c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3605]) ).

cnf(c_0_4934,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3606]) ).

cnf(c_0_4935,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3607]) ).

cnf(c_0_4936,plain,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3608]) ).

cnf(c_0_4937,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3609]) ).

cnf(c_0_4938,plain,
    ( c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3610]) ).

cnf(c_0_4939,plain,
    ( c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3611]) ).

cnf(c_0_4940,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3612]) ).

cnf(c_0_4941,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3613]) ).

cnf(c_0_4942,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3614]) ).

cnf(c_0_4943,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3615]) ).

cnf(c_0_4944,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3616]) ).

cnf(c_0_4945,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3617]) ).

cnf(c_0_4946,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3618]) ).

cnf(c_0_4947,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3619]) ).

cnf(c_0_4948,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3620]) ).

cnf(c_0_4949,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3621]) ).

cnf(c_0_4950,plain,
    ( X1 = X2
    | c_RealVector_Odist__class_Odist(X1,X2,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3622]) ).

cnf(c_0_4951,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3623]) ).

cnf(c_0_4952,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3624]) ).

cnf(c_0_4953,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3625]) ).

cnf(c_0_4954,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3626]) ).

cnf(c_0_4955,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3627]) ).

cnf(c_0_4956,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3628]) ).

cnf(c_0_4957,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3629]) ).

cnf(c_0_4958,plain,
    ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3630]) ).

cnf(c_0_4959,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3631]) ).

cnf(c_0_4960,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3632]) ).

cnf(c_0_4961,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3633]) ).

cnf(c_0_4962,plain,
    ( c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3634]) ).

cnf(c_0_4963,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3635]) ).

cnf(c_0_4964,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3636]) ).

cnf(c_0_4965,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3637]) ).

cnf(c_0_4966,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3638]) ).

cnf(c_0_4967,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3639]) ).

cnf(c_0_4968,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3640]) ).

cnf(c_0_4969,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3641]) ).

cnf(c_0_4970,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) != X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3642]) ).

cnf(c_0_4971,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3643]) ).

cnf(c_0_4972,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3644]) ).

cnf(c_0_4973,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3645]) ).

cnf(c_0_4974,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3646]) ).

cnf(c_0_4975,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3647]) ).

cnf(c_0_4976,plain,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3648]) ).

cnf(c_0_4977,plain,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3649]) ).

cnf(c_0_4978,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3650]) ).

cnf(c_0_4979,plain,
    ( c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3651]) ).

cnf(c_0_4980,plain,
    ( c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__div__algebra(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3652]) ).

cnf(c_0_4981,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3653]) ).

cnf(c_0_4982,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3654]) ).

cnf(c_0_4983,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3655]) ).

cnf(c_0_4984,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3656]) ).

cnf(c_0_4985,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3657]) ).

cnf(c_0_4986,plain,
    c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3658]) ).

cnf(c_0_4987,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__div__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3659]) ).

cnf(c_0_4988,plain,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3660]) ).

cnf(c_0_4989,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_3661]) ).

cnf(c_0_4990,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3662]) ).

cnf(c_0_4991,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3663]) ).

cnf(c_0_4992,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3664]) ).

cnf(c_0_4993,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3665]) ).

cnf(c_0_4994,plain,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3666]) ).

cnf(c_0_4995,plain,
    ~ c_Ring__and__Field_Ozero__neq__one(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_3667]) ).

cnf(c_0_4996,plain,
    ( 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3668]) ).

cnf(c_0_4997,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_3669]) ).

cnf(c_0_4998,plain,
    ( c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3670]) ).

cnf(c_0_4999,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3671]) ).

cnf(c_0_5000,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3672]) ).

cnf(c_0_5001,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3673]) ).

cnf(c_0_5002,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3674]) ).

cnf(c_0_5003,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3675]) ).

cnf(c_0_5004,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3676]) ).

cnf(c_0_5005,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3677]) ).

cnf(c_0_5006,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3678]) ).

cnf(c_0_5007,plain,
    ( c_RealVector_Oof__real(X1,X2) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3679]) ).

cnf(c_0_5008,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3680]) ).

cnf(c_0_5009,plain,
    c_Log_Opowr(c_Log_Opowr(X1,X2),X3) = c_Log_Opowr(c_Log_Opowr(X1,X3),X2),
    inference(split_conjunct,[status(thm)],[c_0_3681]) ).

cnf(c_0_5010,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3682]) ).

cnf(c_0_5011,plain,
    c_Log_Olog(X1,X2) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3683]) ).

cnf(c_0_5012,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3684]) ).

cnf(c_0_5013,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3685]) ).

cnf(c_0_5014,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3686]) ).

cnf(c_0_5015,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3687]) ).

cnf(c_0_5016,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3688]) ).

cnf(c_0_5017,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3689]) ).

cnf(c_0_5018,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3690]) ).

cnf(c_0_5019,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3691]) ).

cnf(c_0_5020,plain,
    c_Log_Opowr(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3692]) ).

cnf(c_0_5021,plain,
    ( c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3693]) ).

cnf(c_0_5022,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3694]) ).

cnf(c_0_5023,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3695]) ).

cnf(c_0_5024,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3696]) ).

cnf(c_0_5025,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3697]) ).

cnf(c_0_5026,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3698]) ).

cnf(c_0_5027,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3699]) ).

cnf(c_0_5028,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3700]) ).

cnf(c_0_5029,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3701]) ).

cnf(c_0_5030,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3702]) ).

cnf(c_0_5031,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3703]) ).

cnf(c_0_5032,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3704]) ).

cnf(c_0_5033,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3705]) ).

cnf(c_0_5034,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3706]) ).

cnf(c_0_5035,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3707]) ).

cnf(c_0_5036,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3708]) ).

cnf(c_0_5037,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3709]) ).

cnf(c_0_5038,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3710]) ).

cnf(c_0_5039,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3711]) ).

cnf(c_0_5040,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3712]) ).

cnf(c_0_5041,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3713]) ).

cnf(c_0_5042,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3714]) ).

cnf(c_0_5043,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3715]) ).

cnf(c_0_5044,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3716]) ).

cnf(c_0_5045,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3717]) ).

cnf(c_0_5046,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3718]) ).

cnf(c_0_5047,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) = c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    inference(split_conjunct,[status(thm)],[c_0_3719]) ).

cnf(c_0_5048,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    inference(split_conjunct,[status(thm)],[c_0_3720]) ).

cnf(c_0_5049,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_3721]) ).

cnf(c_0_5050,plain,
    c_Transcendental_Otan(X1) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3722]) ).

cnf(c_0_5051,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3723]) ).

cnf(c_0_5052,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3724]) ).

cnf(c_0_5053,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3725]) ).

cnf(c_0_5054,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3726]) ).

cnf(c_0_5055,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3727]) ).

cnf(c_0_5056,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3728]) ).

cnf(c_0_5057,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3729]) ).

cnf(c_0_5058,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3730]) ).

cnf(c_0_5059,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3731]) ).

cnf(c_0_5060,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3732]) ).

cnf(c_0_5061,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3733]) ).

cnf(c_0_5062,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3734]) ).

cnf(c_0_5063,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3735]) ).

cnf(c_0_5064,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3736]) ).

cnf(c_0_5065,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3737]) ).

cnf(c_0_5066,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3738]) ).

cnf(c_0_5067,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3739]) ).

cnf(c_0_5068,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3740]) ).

cnf(c_0_5069,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3741]) ).

cnf(c_0_5070,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3742]) ).

cnf(c_0_5071,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3743]) ).

cnf(c_0_5072,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3744]) ).

cnf(c_0_5073,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3745]) ).

cnf(c_0_5074,plain,
    ( c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3746]) ).

cnf(c_0_5075,plain,
    c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3747]) ).

cnf(c_0_5076,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X1),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3748]) ).

cnf(c_0_5077,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3749]) ).

cnf(c_0_5078,plain,
    ( c_RealVector_Odist__class_Odist(X1,X1,X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3750]) ).

cnf(c_0_5079,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3751]) ).

cnf(c_0_5080,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3752]) ).

cnf(c_0_5081,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3753]) ).

cnf(c_0_5082,plain,
    c_lessequals(c_Transcendental_Osin(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3754]) ).

cnf(c_0_5083,plain,
    c_lessequals(c_Transcendental_Ocos(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3755]) ).

cnf(c_0_5084,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3756]) ).

cnf(c_0_5085,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3757]) ).

cnf(c_0_5086,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3758]) ).

cnf(c_0_5087,plain,
    c_Transcendental_Otan(v_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(v_x),c_Transcendental_Ocos(v_x),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3759]) ).

cnf(c_0_5088,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3760]) ).

cnf(c_0_5089,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3761]) ).

cnf(c_0_5090,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3762]) ).

cnf(c_0_5091,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3763]) ).

cnf(c_0_5092,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3764]) ).

cnf(c_0_5093,plain,
    ( X1 = X2
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3765]) ).

cnf(c_0_5094,plain,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3766]) ).

cnf(c_0_5095,plain,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3767]) ).

cnf(c_0_5096,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
    inference(split_conjunct,[status(thm)],[c_0_3768]) ).

cnf(c_0_5097,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3769]) ).

cnf(c_0_5098,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3770]) ).

cnf(c_0_5099,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3771]) ).

cnf(c_0_5100,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3772]) ).

cnf(c_0_5101,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3773]) ).

cnf(c_0_5102,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3774]) ).

cnf(c_0_5103,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3775]) ).

cnf(c_0_5104,plain,
    ( X1 = X2
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3776]) ).

cnf(c_0_5105,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3777]) ).

cnf(c_0_5106,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3778]) ).

cnf(c_0_5107,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3779]) ).

cnf(c_0_5108,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3780]) ).

cnf(c_0_5109,plain,
    ( X1 = c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3781]) ).

cnf(c_0_5110,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3782]) ).

cnf(c_0_5111,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3783]) ).

cnf(c_0_5112,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3784]) ).

cnf(c_0_5113,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3785]) ).

cnf(c_0_5114,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3786]) ).

cnf(c_0_5115,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3787]) ).

cnf(c_0_5116,plain,
    c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X1,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3788]) ).

cnf(c_0_5117,plain,
    c_Transcendental_Oln(X1) = c_Log_Olog(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1),
    inference(split_conjunct,[status(thm)],[c_0_3789]) ).

cnf(c_0_5118,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3790]) ).

cnf(c_0_5119,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3791]) ).

cnf(c_0_5120,plain,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3792]) ).

cnf(c_0_5121,plain,
    c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3793]) ).

cnf(c_0_5122,plain,
    c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3794]) ).

cnf(c_0_5123,plain,
    c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3795]) ).

cnf(c_0_5124,plain,
    c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X1),tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3796]) ).

cnf(c_0_5125,plain,
    ( c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3797]) ).

cnf(c_0_5126,plain,
    ( X1 = X2
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3798]) ).

cnf(c_0_5127,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3799]) ).

cnf(c_0_5128,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3800]) ).

cnf(c_0_5129,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3801]) ).

cnf(c_0_5130,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3802]) ).

cnf(c_0_5131,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3803]) ).

cnf(c_0_5132,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3804]) ).

cnf(c_0_5133,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3805]) ).

cnf(c_0_5134,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3806]) ).

cnf(c_0_5135,plain,
    ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__field(X1)
    | ~ class_SEQ_Obanach(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3807]) ).

cnf(c_0_5136,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3808]) ).

cnf(c_0_5137,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3809]) ).

cnf(c_0_5138,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3810]) ).

cnf(c_0_5139,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3811]) ).

cnf(c_0_5140,plain,
    ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3812]) ).

cnf(c_0_5141,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3813]) ).

cnf(c_0_5142,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3814]) ).

cnf(c_0_5143,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3815]) ).

cnf(c_0_5144,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3816]) ).

cnf(c_0_5145,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3817]) ).

cnf(c_0_5146,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3818]) ).

cnf(c_0_5147,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3819]) ).

cnf(c_0_5148,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3820]) ).

cnf(c_0_5149,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3821]) ).

cnf(c_0_5150,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3822]) ).

cnf(c_0_5151,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3823]) ).

cnf(c_0_5152,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3824]) ).

cnf(c_0_5153,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3825]) ).

cnf(c_0_5154,plain,
    c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
    inference(split_conjunct,[status(thm)],[c_0_3826]) ).

cnf(c_0_5155,plain,
    c_Complex_Ocis(X1) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)),
    inference(split_conjunct,[status(thm)],[c_0_3827]) ).

cnf(c_0_5156,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_3828]) ).

cnf(c_0_5157,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_3829]) ).

cnf(c_0_5158,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3830]) ).

cnf(c_0_5159,plain,
    ( 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) ),
    inference(split_conjunct,[status(thm)],[c_0_3831]) ).

cnf(c_0_5160,plain,
    ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3832]) ).

cnf(c_0_5161,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3833]) ).

cnf(c_0_5162,plain,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_3834]) ).

cnf(c_0_5163,plain,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_3835]) ).

cnf(c_0_5164,plain,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_3836]) ).

cnf(c_0_5165,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3837]) ).

cnf(c_0_5166,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Complex_Oii ),
    inference(split_conjunct,[status(thm)],[c_0_3838]) ).

cnf(c_0_5167,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Complex_Oii ),
    inference(split_conjunct,[status(thm)],[c_0_3839]) ).

cnf(c_0_5168,plain,
    c_Log_Opowr(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3840]) ).

cnf(c_0_5169,plain,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[c_0_3841]) ).

cnf(c_0_5170,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3842]) ).

cnf(c_0_5171,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    inference(split_conjunct,[status(thm)],[c_0_3843]) ).

cnf(c_0_5172,plain,
    c_Complex_Oii = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(split_conjunct,[status(thm)],[c_0_3844]) ).

cnf(c_0_5173,plain,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3845]) ).

cnf(c_0_5174,plain,
    ( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3846]) ).

cnf(c_0_5175,plain,
    c_Transcendental_Ocos(c_Transcendental_Oarctan(X1)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3847]) ).

cnf(c_0_5176,plain,
    c_Log_Olog(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3848]) ).

cnf(c_0_5177,plain,
    c_Log_Opowr(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3849]) ).

cnf(c_0_5178,plain,
    c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3850]) ).

cnf(c_0_5179,plain,
    c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3851]) ).

cnf(c_0_5180,plain,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3852]) ).

cnf(c_0_5181,plain,
    c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3853]) ).

cnf(c_0_5182,plain,
    ( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3854]) ).

cnf(c_0_5183,plain,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3855]) ).

cnf(c_0_5184,plain,
    c_Fun_Oid(X1,X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_3856]) ).

cnf(c_0_5185,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3857]) ).

cnf(c_0_5186,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3858]) ).

cnf(c_0_5187,plain,
    c_Fun_Oid(v_x,t_a) = v_x,
    inference(split_conjunct,[status(thm)],[c_0_3859]) ).

cnf(c_0_5188,plain,
    c_Transcendental_Otan(c_Transcendental_Oarctan(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_3860]) ).

cnf(c_0_5189,plain,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3861]) ).

cnf(c_0_5190,plain,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3862]) ).

cnf(c_0_5191,plain,
    c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3863]) ).

cnf(c_0_5192,plain,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3864]) ).

cnf(c_0_5193,plain,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3865]) ).

cnf(c_0_5194,plain,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3866]) ).

cnf(c_0_5195,plain,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3867]) ).

cnf(c_0_5196,plain,
    c_Complex_Ocis(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3868]) ).

cnf(c_0_5197,plain,
    ( v_x != c_Transcendental_Opi
    | c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_3869]) ).

cnf(c_0_5198,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3870]) ).

cnf(c_0_5199,plain,
    c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3871]) ).

cnf(c_0_5200,plain,
    c_Transcendental_Ocos(c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3872]) ).

cnf(c_0_5201,plain,
    c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3873]) ).

cnf(c_0_5202,plain,
    c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3874]) ).

cnf(c_0_5203,plain,
    c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3875]) ).

cnf(c_0_5204,plain,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3876]) ).

cnf(c_0_5205,plain,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3877]) ).

cnf(c_0_5206,plain,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3878]) ).

cnf(c_0_5207,plain,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3879]) ).

cnf(c_0_5208,plain,
    class_RealVector_Odist__norm(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3880]) ).

cnf(c_0_5209,plain,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3881]) ).

cnf(c_0_5210,plain,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3882]) ).

cnf(c_0_5211,plain,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3883]) ).

cnf(c_0_5212,plain,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3884]) ).

cnf(c_0_5213,plain,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3885]) ).

cnf(c_0_5214,plain,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3886]) ).

cnf(c_0_5215,plain,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3887]) ).

cnf(c_0_5216,plain,
    class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3888]) ).

cnf(c_0_5217,plain,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3889]) ).

cnf(c_0_5218,plain,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3890]) ).

cnf(c_0_5219,plain,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3891]) ).

cnf(c_0_5220,plain,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3892]) ).

cnf(c_0_5221,plain,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3893]) ).

cnf(c_0_5222,plain,
    class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3894]) ).

cnf(c_0_5223,plain,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3895]) ).

cnf(c_0_5224,plain,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3896]) ).

cnf(c_0_5225,plain,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3897]) ).

cnf(c_0_5226,plain,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3898]) ).

cnf(c_0_5227,plain,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3899]) ).

cnf(c_0_5228,plain,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3900]) ).

cnf(c_0_5229,plain,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3901]) ).

cnf(c_0_5230,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3902]) ).

cnf(c_0_5231,plain,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3903]) ).

cnf(c_0_5232,plain,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3904]) ).

cnf(c_0_5233,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3905]) ).

cnf(c_0_5234,plain,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3906]) ).

cnf(c_0_5235,plain,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3907]) ).

cnf(c_0_5236,plain,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3908]) ).

cnf(c_0_5237,plain,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3909]) ).

cnf(c_0_5238,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3910]) ).

cnf(c_0_5239,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3911]) ).

cnf(c_0_5240,plain,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[c_0_3912]) ).

cnf(c_0_5241,plain,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3913]) ).

cnf(c_0_5242,plain,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3914]) ).

cnf(c_0_5243,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3915]) ).

cnf(c_0_5244,plain,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3916]) ).

cnf(c_0_5245,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3917]) ).

cnf(c_0_5246,plain,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3918]) ).

cnf(c_0_5247,plain,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3919]) ).

cnf(c_0_5248,plain,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3920]) ).

cnf(c_0_5249,plain,
    class_RealVector_Odist__norm(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3921]) ).

cnf(c_0_5250,plain,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3922]) ).

cnf(c_0_5251,plain,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3923]) ).

cnf(c_0_5252,plain,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3924]) ).

cnf(c_0_5253,plain,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3925]) ).

cnf(c_0_5254,plain,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3926]) ).

cnf(c_0_5255,plain,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3927]) ).

cnf(c_0_5256,plain,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3928]) ).

cnf(c_0_5257,plain,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3929]) ).

cnf(c_0_5258,plain,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3930]) ).

cnf(c_0_5259,plain,
    class_RealVector_Osgn__div__norm(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3931]) ).

cnf(c_0_5260,plain,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3932]) ).

cnf(c_0_5261,plain,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3933]) ).

cnf(c_0_5262,plain,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3934]) ).

cnf(c_0_5263,plain,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3935]) ).

cnf(c_0_5264,plain,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3936]) ).

cnf(c_0_5265,plain,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3937]) ).

cnf(c_0_5266,plain,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3938]) ).

cnf(c_0_5267,plain,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3939]) ).

cnf(c_0_5268,plain,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3940]) ).

cnf(c_0_5269,plain,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3941]) ).

cnf(c_0_5270,plain,
    class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3942]) ).

cnf(c_0_5271,plain,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3943]) ).

cnf(c_0_5272,plain,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3944]) ).

cnf(c_0_5273,plain,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3945]) ).

cnf(c_0_5274,plain,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3946]) ).

cnf(c_0_5275,plain,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3947]) ).

cnf(c_0_5276,plain,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3948]) ).

cnf(c_0_5277,plain,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3949]) ).

cnf(c_0_5278,plain,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3950]) ).

cnf(c_0_5279,plain,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3951]) ).

cnf(c_0_5280,plain,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3952]) ).

cnf(c_0_5281,plain,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3953]) ).

cnf(c_0_5282,plain,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3954]) ).

cnf(c_0_5283,plain,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3955]) ).

cnf(c_0_5284,plain,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3956]) ).

cnf(c_0_5285,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3957]) ).

cnf(c_0_5286,plain,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3958]) ).

cnf(c_0_5287,plain,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3959]) ).

cnf(c_0_5288,plain,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3960]) ).

cnf(c_0_5289,plain,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3961]) ).

cnf(c_0_5290,plain,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3962]) ).

cnf(c_0_5291,plain,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3963]) ).

cnf(c_0_5292,plain,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3964]) ).

cnf(c_0_5293,plain,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3965]) ).

cnf(c_0_5294,plain,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3966]) ).

cnf(c_0_5295,plain,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3967]) ).

cnf(c_0_5296,plain,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3968]) ).

cnf(c_0_5297,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3969]) ).

cnf(c_0_5298,plain,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3970]) ).

cnf(c_0_5299,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3971]) ).

cnf(c_0_5300,plain,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3972]) ).

cnf(c_0_5301,plain,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3973]) ).

cnf(c_0_5302,plain,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3974]) ).

cnf(c_0_5303,plain,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3975]) ).

cnf(c_0_5304,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3976]) ).

cnf(c_0_5305,plain,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3977]) ).

cnf(c_0_5306,plain,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3978]) ).

cnf(c_0_5307,plain,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3979]) ).

cnf(c_0_5308,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3980]) ).

cnf(c_0_5309,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3981]) ).

cnf(c_0_5310,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3982]) ).

cnf(c_0_5311,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_3983]) ).

cnf(c_0_5312,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    c_0_3984,
    [final] ).

cnf(c_0_5313,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    c_0_3985,
    [final] ).

cnf(c_0_5314,plain,
    c_HOL_Ominus__class_Ominus(hAPP(X1,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X1,X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_3986,
    [final] ).

cnf(c_0_5315,plain,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_3987,
    [final] ).

cnf(c_0_5316,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_3988,
    [final] ).

cnf(c_0_5317,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X5,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_3989,
    [final] ).

cnf(c_0_5318,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_3990,
    [final] ).

cnf(c_0_5319,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_3991,
    [final] ).

cnf(c_0_5320,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    c_0_3992,
    [final] ).

cnf(c_0_5321,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    c_0_3993,
    [final] ).

cnf(c_0_5322,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    c_0_3994,
    [final] ).

cnf(c_0_5323,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_3995,
    [final] ).

cnf(c_0_5324,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_3996,
    [final] ).

cnf(c_0_5325,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    c_0_3997,
    [final] ).

cnf(c_0_5326,plain,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_3998,
    [final] ).

cnf(c_0_5327,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_3999,
    [final] ).

cnf(c_0_5328,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_4000,
    [final] ).

cnf(c_0_5329,plain,
    ( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_4001,
    [final] ).

cnf(c_0_5330,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4002,
    [final] ).

cnf(c_0_5331,plain,
    ( c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4003,
    [final] ).

cnf(c_0_5332,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    c_0_4004,
    [final] ).

cnf(c_0_5333,plain,
    c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    c_0_4005,
    [final] ).

cnf(c_0_5334,plain,
    ( ~ 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)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_4006,
    [final] ).

cnf(c_0_5335,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4007,
    [final] ).

cnf(c_0_5336,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4008,
    [final] ).

cnf(c_0_5337,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_4009,
    [final] ).

cnf(c_0_5338,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_4010,
    [final] ).

cnf(c_0_5339,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4011,
    [final] ).

cnf(c_0_5340,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4012,
    [final] ).

cnf(c_0_5341,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4013,
    [final] ).

cnf(c_0_5342,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4014,
    [final] ).

cnf(c_0_5343,plain,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4015,
    [final] ).

cnf(c_0_5344,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4016,
    [final] ).

cnf(c_0_5345,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4017,
    [final] ).

cnf(c_0_5346,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4018,
    [final] ).

cnf(c_0_5347,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4019,
    [final] ).

cnf(c_0_5348,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_4020,
    [final] ).

cnf(c_0_5349,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    c_0_4021,
    [final] ).

cnf(c_0_5350,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_4022,
    [final] ).

cnf(c_0_5351,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Osemiring(X3) ),
    c_0_4023,
    [final] ).

cnf(c_0_5352,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    c_0_4024,
    [final] ).

cnf(c_0_5353,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    c_0_4025,
    [final] ).

cnf(c_0_5354,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4026,
    [final] ).

cnf(c_0_5355,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_4027,
    [final] ).

cnf(c_0_5356,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4028,
    [final] ).

cnf(c_0_5357,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4029,
    [final] ).

cnf(c_0_5358,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4030,
    [final] ).

cnf(c_0_5359,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4031,
    [final] ).

cnf(c_0_5360,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4032,
    [final] ).

cnf(c_0_5361,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4033,
    [final] ).

cnf(c_0_5362,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4034,
    [final] ).

cnf(c_0_5363,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4035,
    [final] ).

cnf(c_0_5364,plain,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) ),
    c_0_4036,
    [final] ).

cnf(c_0_5365,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4037,
    [final] ).

cnf(c_0_5366,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_4038,
    [final] ).

cnf(c_0_5367,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4039,
    [final] ).

cnf(c_0_5368,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4040,
    [final] ).

cnf(c_0_5369,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4041,
    [final] ).

cnf(c_0_5370,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4042,
    [final] ).

cnf(c_0_5371,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4043,
    [final] ).

cnf(c_0_5372,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4044,
    [final] ).

cnf(c_0_5373,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4045,
    [final] ).

cnf(c_0_5374,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4046,
    [final] ).

cnf(c_0_5375,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4047,
    [final] ).

cnf(c_0_5376,plain,
    ( 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) ),
    c_0_4048,
    [final] ).

cnf(c_0_5377,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X4,X1,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4049,
    [final] ).

cnf(c_0_5378,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X2,X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4050,
    [final] ).

cnf(c_0_5379,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4051,
    [final] ).

cnf(c_0_5380,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_4052,
    [final] ).

cnf(c_0_5381,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4053,
    [final] ).

cnf(c_0_5382,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4054,
    [final] ).

cnf(c_0_5383,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_4055,
    [final] ).

cnf(c_0_5384,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4056,
    [final] ).

cnf(c_0_5385,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4057,
    [final] ).

cnf(c_0_5386,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4058,
    [final] ).

cnf(c_0_5387,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4059,
    [final] ).

cnf(c_0_5388,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4060,
    [final] ).

cnf(c_0_5389,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4061,
    [final] ).

cnf(c_0_5390,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4062,
    [final] ).

cnf(c_0_5391,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4063,
    [final] ).

cnf(c_0_5392,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    c_0_4064,
    [final] ).

cnf(c_0_5393,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    c_0_4065,
    [final] ).

cnf(c_0_5394,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4066,
    [final] ).

cnf(c_0_5395,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4067,
    [final] ).

cnf(c_0_5396,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4068,
    [final] ).

cnf(c_0_5397,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_4069,
    [final] ).

cnf(c_0_5398,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_4070,
    [final] ).

cnf(c_0_5399,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4071,
    [final] ).

cnf(c_0_5400,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4072,
    [final] ).

cnf(c_0_5401,plain,
    ( 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) ),
    c_0_4073,
    [final] ).

cnf(c_0_5402,plain,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4074,
    [final] ).

cnf(c_0_5403,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4075,
    [final] ).

cnf(c_0_5404,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4076,
    [final] ).

cnf(c_0_5405,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4077,
    [final] ).

cnf(c_0_5406,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4078,
    [final] ).

cnf(c_0_5407,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4079,
    [final] ).

cnf(c_0_5408,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4080,
    [final] ).

cnf(c_0_5409,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4081,
    [final] ).

cnf(c_0_5410,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4082,
    [final] ).

cnf(c_0_5411,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4083,
    [final] ).

cnf(c_0_5412,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4084,
    [final] ).

cnf(c_0_5413,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4085,
    [final] ).

cnf(c_0_5414,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4086,
    [final] ).

cnf(c_0_5415,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4087,
    [final] ).

cnf(c_0_5416,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4088,
    [final] ).

cnf(c_0_5417,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4089,
    [final] ).

cnf(c_0_5418,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4090,
    [final] ).

cnf(c_0_5419,plain,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(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_0_4091,
    [final] ).

cnf(c_0_5420,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ 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_0_4092,
    [final] ).

cnf(c_0_5421,plain,
    ( c_lessequals(X4,X3,X2)
    | ~ 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_0_4093,
    [final] ).

cnf(c_0_5422,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ 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_0_4094,
    [final] ).

cnf(c_0_5423,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4095,
    [final] ).

cnf(c_0_5424,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4096,
    [final] ).

cnf(c_0_5425,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    c_0_4097,
    [final] ).

cnf(c_0_5426,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    c_0_4098,
    [final] ).

cnf(c_0_5427,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4099,
    [final] ).

cnf(c_0_5428,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4100,
    [final] ).

cnf(c_0_5429,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4101,
    [final] ).

cnf(c_0_5430,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4102,
    [final] ).

cnf(c_0_5431,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4103,
    [final] ).

cnf(c_0_5432,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4104,
    [final] ).

cnf(c_0_5433,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4105,
    [final] ).

cnf(c_0_5434,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4106,
    [final] ).

cnf(c_0_5435,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4107,
    [final] ).

cnf(c_0_5436,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4108,
    [final] ).

cnf(c_0_5437,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4109,
    [final] ).

cnf(c_0_5438,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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_0_4110,
    [final] ).

cnf(c_0_5439,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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_0_4111,
    [final] ).

cnf(c_0_5440,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4112,
    [final] ).

cnf(c_0_5441,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4113,
    [final] ).

cnf(c_0_5442,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_4114,
    [final] ).

cnf(c_0_5443,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_4115,
    [final] ).

cnf(c_0_5444,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4116,
    [final] ).

cnf(c_0_5445,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4117,
    [final] ).

cnf(c_0_5446,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4118,
    [final] ).

cnf(c_0_5447,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4119,
    [final] ).

cnf(c_0_5448,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4120,
    [final] ).

cnf(c_0_5449,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4121,
    [final] ).

cnf(c_0_5450,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4122,
    [final] ).

cnf(c_0_5451,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_4123,
    [final] ).

cnf(c_0_5452,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_4124,
    [final] ).

cnf(c_0_5453,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4125,
    [final] ).

cnf(c_0_5454,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4126,
    [final] ).

cnf(c_0_5455,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4127,
    [final] ).

cnf(c_0_5456,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4128,
    [final] ).

cnf(c_0_5457,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4129,
    [final] ).

cnf(c_0_5458,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4130,
    [final] ).

cnf(c_0_5459,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4131,
    [final] ).

cnf(c_0_5460,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4132,
    [final] ).

cnf(c_0_5461,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4133,
    [final] ).

cnf(c_0_5462,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    c_0_4134,
    [final] ).

cnf(c_0_5463,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4135,
    [final] ).

cnf(c_0_5464,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4136,
    [final] ).

cnf(c_0_5465,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_4137,
    [final] ).

cnf(c_0_5466,plain,
    ( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4138,
    [final] ).

cnf(c_0_5467,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4139,
    [final] ).

cnf(c_0_5468,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4140,
    [final] ).

cnf(c_0_5469,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4141,
    [final] ).

cnf(c_0_5470,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4142,
    [final] ).

cnf(c_0_5471,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4143,
    [final] ).

cnf(c_0_5472,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4144,
    [final] ).

cnf(c_0_5473,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4145,
    [final] ).

cnf(c_0_5474,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4146,
    [final] ).

cnf(c_0_5475,plain,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4147,
    [final] ).

cnf(c_0_5476,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4148,
    [final] ).

cnf(c_0_5477,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4149,
    [final] ).

cnf(c_0_5478,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_4150,
    [final] ).

cnf(c_0_5479,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_4151,
    [final] ).

cnf(c_0_5480,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    c_0_4152,
    [final] ).

cnf(c_0_5481,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4153,
    [final] ).

cnf(c_0_5482,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    c_0_4154,
    [final] ).

cnf(c_0_5483,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4155,
    [final] ).

cnf(c_0_5484,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4156,
    [final] ).

cnf(c_0_5485,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4157,
    [final] ).

cnf(c_0_5486,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4158,
    [final] ).

cnf(c_0_5487,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4159,
    [final] ).

cnf(c_0_5488,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4160,
    [final] ).

cnf(c_0_5489,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,X3)
    | ~ 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),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    c_0_4161,
    [final] ).

cnf(c_0_5490,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    c_0_4162,
    [final] ).

cnf(c_0_5491,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    c_0_4163,
    [final] ).

cnf(c_0_5492,plain,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4164,
    [final] ).

cnf(c_0_5493,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4165,
    [final] ).

cnf(c_0_5494,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4166,
    [final] ).

cnf(c_0_5495,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4167,
    [final] ).

cnf(c_0_5496,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    c_0_4168,
    [final] ).

cnf(c_0_5497,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    c_0_4169,
    [final] ).

cnf(c_0_5498,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4170,
    [final] ).

cnf(c_0_5499,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4171,
    [final] ).

cnf(c_0_5500,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4172,
    [final] ).

cnf(c_0_5501,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4173,
    [final] ).

cnf(c_0_5502,plain,
    ( c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4174,
    [final] ).

cnf(c_0_5503,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4175,
    [final] ).

cnf(c_0_5504,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    c_0_4176,
    [final] ).

cnf(c_0_5505,plain,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
    c_0_4177,
    [final] ).

cnf(c_0_5506,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4178,
    [final] ).

cnf(c_0_5507,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4179,
    [final] ).

cnf(c_0_5508,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4180,
    [final] ).

cnf(c_0_5509,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4181,
    [final] ).

cnf(c_0_5510,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_4182,
    [final] ).

cnf(c_0_5511,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4183,
    [final] ).

cnf(c_0_5512,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4184,
    [final] ).

cnf(c_0_5513,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_4185,
    [final] ).

cnf(c_0_5514,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4186,
    [final] ).

cnf(c_0_5515,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4187,
    [final] ).

cnf(c_0_5516,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_4188,
    [final] ).

cnf(c_0_5517,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_4189,
    [final] ).

cnf(c_0_5518,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4190,
    [final] ).

cnf(c_0_5519,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    c_0_4191,
    [final] ).

cnf(c_0_5520,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4192,
    [final] ).

cnf(c_0_5521,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_4193,
    [final] ).

cnf(c_0_5522,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4194,
    [final] ).

cnf(c_0_5523,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4195,
    [final] ).

cnf(c_0_5524,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_4196,
    [final] ).

cnf(c_0_5525,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_4197,
    [final] ).

cnf(c_0_5526,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    c_0_4198,
    [final] ).

cnf(c_0_5527,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    c_0_4199,
    [final] ).

cnf(c_0_5528,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    c_0_4200,
    [final] ).

cnf(c_0_5529,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_4201,
    [final] ).

cnf(c_0_5530,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_4202,
    [final] ).

cnf(c_0_5531,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    c_0_4203,
    [final] ).

cnf(c_0_5532,plain,
    ( c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_4204,
    [final] ).

cnf(c_0_5533,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4205,
    [final] ).

cnf(c_0_5534,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4206,
    [final] ).

cnf(c_0_5535,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_4207,
    [final] ).

cnf(c_0_5536,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4208,
    [final] ).

cnf(c_0_5537,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_4209,
    [final] ).

cnf(c_0_5538,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_4210,
    [final] ).

cnf(c_0_5539,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_4211,
    [final] ).

cnf(c_0_5540,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_4212,
    [final] ).

cnf(c_0_5541,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4213,
    [final] ).

cnf(c_0_5542,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4214,
    [final] ).

cnf(c_0_5543,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4215,
    [final] ).

cnf(c_0_5544,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4216,
    [final] ).

cnf(c_0_5545,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4217,
    [final] ).

cnf(c_0_5546,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_4218,
    [final] ).

cnf(c_0_5547,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4219,
    [final] ).

cnf(c_0_5548,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    c_0_4220,
    [final] ).

cnf(c_0_5549,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    c_0_4221,
    [final] ).

cnf(c_0_5550,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_4222,
    [final] ).

cnf(c_0_5551,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4223,
    [final] ).

cnf(c_0_5552,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4224,
    [final] ).

cnf(c_0_5553,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4225,
    [final] ).

cnf(c_0_5554,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_4226,
    [final] ).

cnf(c_0_5555,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_4227,
    [final] ).

cnf(c_0_5556,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
    c_0_4228,
    [final] ).

cnf(c_0_5557,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
    c_0_4229,
    [final] ).

cnf(c_0_5558,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    c_0_4230,
    [final] ).

cnf(c_0_5559,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4231,
    [final] ).

cnf(c_0_5560,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4232,
    [final] ).

cnf(c_0_5561,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    c_0_4233,
    [final] ).

cnf(c_0_5562,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X4) ),
    c_0_4234,
    [final] ).

cnf(c_0_5563,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X3) ),
    c_0_4235,
    [final] ).

cnf(c_0_5564,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    c_0_4236,
    [final] ).

cnf(c_0_5565,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    c_0_4237,
    [final] ).

cnf(c_0_5566,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4238,
    [final] ).

cnf(c_0_5567,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring(X3) ),
    c_0_4239,
    [final] ).

cnf(c_0_5568,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_4240,
    [final] ).

cnf(c_0_5569,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4241,
    [final] ).

cnf(c_0_5570,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4242,
    [final] ).

cnf(c_0_5571,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_4243,
    [final] ).

cnf(c_0_5572,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_4244,
    [final] ).

cnf(c_0_5573,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4245,
    [final] ).

cnf(c_0_5574,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_4246,
    [final] ).

cnf(c_0_5575,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4247,
    [final] ).

cnf(c_0_5576,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_4248,
    [final] ).

cnf(c_0_5577,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4249,
    [final] ).

cnf(c_0_5578,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    c_0_4250,
    [final] ).

cnf(c_0_5579,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    c_0_4251,
    [final] ).

cnf(c_0_5580,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_4252,
    [final] ).

cnf(c_0_5581,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4253,
    [final] ).

cnf(c_0_5582,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4254,
    [final] ).

cnf(c_0_5583,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_4255,
    [final] ).

cnf(c_0_5584,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4256,
    [final] ).

cnf(c_0_5585,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4257,
    [final] ).

cnf(c_0_5586,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    c_0_4258,
    [final] ).

cnf(c_0_5587,plain,
    ( 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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    c_0_4259,
    [final] ).

cnf(c_0_5588,plain,
    ( 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_4260,
    [final] ).

cnf(c_0_5589,plain,
    ( 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_4261,
    [final] ).

cnf(c_0_5590,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4262,
    [final] ).

cnf(c_0_5591,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_4263,
    [final] ).

cnf(c_0_5592,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_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_4264,
    [final] ).

cnf(c_0_5593,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    c_0_4265,
    [final] ).

cnf(c_0_5594,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    c_0_4266,
    [final] ).

cnf(c_0_5595,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    c_0_4267,
    [final] ).

cnf(c_0_5596,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    c_0_4268,
    [final] ).

cnf(c_0_5597,plain,
    ( c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X1),X2),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X2,X2),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4269,
    [final] ).

cnf(c_0_5598,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4270,
    [final] ).

cnf(c_0_5599,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4271,
    [final] ).

cnf(c_0_5600,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),
    c_0_4272,
    [final] ).

cnf(c_0_5601,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    c_0_4273,
    [final] ).

cnf(c_0_5602,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    c_0_4274,
    [final] ).

cnf(c_0_5603,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    c_0_4275,
    [final] ).

cnf(c_0_5604,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    c_0_4276,
    [final] ).

cnf(c_0_5605,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),
    c_0_4277,
    [final] ).

cnf(c_0_5606,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
    c_0_4278,
    [final] ).

cnf(c_0_5607,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4279,
    [final] ).

cnf(c_0_5608,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4280,
    [final] ).

cnf(c_0_5609,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4281,
    [final] ).

cnf(c_0_5610,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4282,
    [final] ).

cnf(c_0_5611,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4283,
    [final] ).

cnf(c_0_5612,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4284,
    [final] ).

cnf(c_0_5613,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4285,
    [final] ).

cnf(c_0_5614,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4286,
    [final] ).

cnf(c_0_5615,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4287,
    [final] ).

cnf(c_0_5616,plain,
    ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3)
    | ~ 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),X2,tc_RealDef_Oreal) ),
    c_0_4288,
    [final] ).

cnf(c_0_5617,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4289,
    [final] ).

cnf(c_0_5618,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_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4290,
    [final] ).

cnf(c_0_5619,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4291,
    [final] ).

cnf(c_0_5620,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4292,
    [final] ).

cnf(c_0_5621,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ 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),X2,tc_RealDef_Oreal) ),
    c_0_4293,
    [final] ).

cnf(c_0_5622,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,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),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4294,
    [final] ).

cnf(c_0_5623,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4295,
    [final] ).

cnf(c_0_5624,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_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4296,
    [final] ).

cnf(c_0_5625,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_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4297,
    [final] ).

cnf(c_0_5626,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(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4298,
    [final] ).

cnf(c_0_5627,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(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4299,
    [final] ).

cnf(c_0_5628,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(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4300,
    [final] ).

cnf(c_0_5629,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(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4301,
    [final] ).

cnf(c_0_5630,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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_0_4302,
    [final] ).

cnf(c_0_5631,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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_0_4303,
    [final] ).

cnf(c_0_5632,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_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_4304,
    [final] ).

cnf(c_0_5633,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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_0_4305,
    [final] ).

cnf(c_0_5634,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4306,
    [final] ).

cnf(c_0_5635,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4307,
    [final] ).

cnf(c_0_5636,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4308,
    [final] ).

cnf(c_0_5637,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_4309,
    [final] ).

cnf(c_0_5638,plain,
    ( c_lessequals(c_Transcendental_Oln(X1),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4310,
    [final] ).

cnf(c_0_5639,plain,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4311,
    [final] ).

cnf(c_0_5640,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    c_0_4312,
    [final] ).

cnf(c_0_5641,plain,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4313,
    [final] ).

cnf(c_0_5642,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    c_0_4314,
    [final] ).

cnf(c_0_5643,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4315,
    [final] ).

cnf(c_0_5644,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4316,
    [final] ).

cnf(c_0_5645,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4317,
    [final] ).

cnf(c_0_5646,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4318,
    [final] ).

cnf(c_0_5647,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4319,
    [final] ).

cnf(c_0_5648,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4320,
    [final] ).

cnf(c_0_5649,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4321,
    [final] ).

cnf(c_0_5650,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4322,
    [final] ).

cnf(c_0_5651,plain,
    ( c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4323,
    [final] ).

cnf(c_0_5652,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_4324,
    [final] ).

cnf(c_0_5653,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4325,
    [final] ).

cnf(c_0_5654,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4326,
    [final] ).

cnf(c_0_5655,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ 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_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_4327,
    [final] ).

cnf(c_0_5656,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_4328,
    [final] ).

cnf(c_0_5657,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_4329,
    [final] ).

cnf(c_0_5658,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_4330,
    [final] ).

cnf(c_0_5659,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_4331,
    [final] ).

cnf(c_0_5660,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_4332,
    [final] ).

cnf(c_0_5661,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_4333,
    [final] ).

cnf(c_0_5662,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    c_0_4334,
    [final] ).

cnf(c_0_5663,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_4335,
    [final] ).

cnf(c_0_5664,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    c_0_4336,
    [final] ).

cnf(c_0_5665,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_4337,
    [final] ).

cnf(c_0_5666,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4338,
    [final] ).

cnf(c_0_5667,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_4339,
    [final] ).

cnf(c_0_5668,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4340,
    [final] ).

cnf(c_0_5669,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(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) ),
    c_0_4341,
    [final] ).

cnf(c_0_5670,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ 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) ),
    c_0_4342,
    [final] ).

cnf(c_0_5671,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4343,
    [final] ).

cnf(c_0_5672,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_4344,
    [final] ).

cnf(c_0_5673,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4345,
    [final] ).

cnf(c_0_5674,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ 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_0_4346,
    [final] ).

cnf(c_0_5675,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    c_0_4347,
    [final] ).

cnf(c_0_5676,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    c_0_4348,
    [final] ).

cnf(c_0_5677,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_4349,
    [final] ).

cnf(c_0_5678,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4350,
    [final] ).

cnf(c_0_5679,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ 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__semiring__strict(X1) ),
    c_0_4351,
    [final] ).

cnf(c_0_5680,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_4352,
    [final] ).

cnf(c_0_5681,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_4353,
    [final] ).

cnf(c_0_5682,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4354,
    [final] ).

cnf(c_0_5683,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4355,
    [final] ).

cnf(c_0_5684,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_4356,
    [final] ).

cnf(c_0_5685,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_4357,
    [final] ).

cnf(c_0_5686,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    c_0_4358,
    [final] ).

cnf(c_0_5687,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    c_0_4359,
    [final] ).

cnf(c_0_5688,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    c_0_4360,
    [final] ).

cnf(c_0_5689,plain,
    ( c_lessequals(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_lessequals(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),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_4361,
    [final] ).

cnf(c_0_5690,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4362,
    [final] ).

cnf(c_0_5691,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4363,
    [final] ).

cnf(c_0_5692,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_4364,
    [final] ).

cnf(c_0_5693,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4365,
    [final] ).

cnf(c_0_5694,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_4366,
    [final] ).

cnf(c_0_5695,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4367,
    [final] ).

cnf(c_0_5696,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_4368,
    [final] ).

cnf(c_0_5697,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_4369,
    [final] ).

cnf(c_0_5698,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4370,
    [final] ).

cnf(c_0_5699,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_4371,
    [final] ).

cnf(c_0_5700,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4372,
    [final] ).

cnf(c_0_5701,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4373,
    [final] ).

cnf(c_0_5702,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4374,
    [final] ).

cnf(c_0_5703,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_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4375,
    [final] ).

cnf(c_0_5704,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_4376,
    [final] ).

cnf(c_0_5705,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_4377,
    [final] ).

cnf(c_0_5706,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_4378,
    [final] ).

cnf(c_0_5707,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_4379,
    [final] ).

cnf(c_0_5708,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4380,
    [final] ).

cnf(c_0_5709,plain,
    ( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4381,
    [final] ).

cnf(c_0_5710,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4382,
    [final] ).

cnf(c_0_5711,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_4383,
    [final] ).

cnf(c_0_5712,plain,
    ( c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4384,
    [final] ).

cnf(c_0_5713,plain,
    ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4385,
    [final] ).

cnf(c_0_5714,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4386,
    [final] ).

cnf(c_0_5715,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4387,
    [final] ).

cnf(c_0_5716,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4388,
    [final] ).

cnf(c_0_5717,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4389,
    [final] ).

cnf(c_0_5718,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4390,
    [final] ).

cnf(c_0_5719,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4391,
    [final] ).

cnf(c_0_5720,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4392,
    [final] ).

cnf(c_0_5721,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4393,
    [final] ).

cnf(c_0_5722,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4394,
    [final] ).

cnf(c_0_5723,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4395,
    [final] ).

cnf(c_0_5724,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4396,
    [final] ).

cnf(c_0_5725,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4397,
    [final] ).

cnf(c_0_5726,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4398,
    [final] ).

cnf(c_0_5727,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    c_0_4399,
    [final] ).

cnf(c_0_5728,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4400,
    [final] ).

cnf(c_0_5729,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4401,
    [final] ).

cnf(c_0_5730,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4402,
    [final] ).

cnf(c_0_5731,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4403,
    [final] ).

cnf(c_0_5732,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4404,
    [final] ).

cnf(c_0_5733,plain,
    ( 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),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4405,
    [final] ).

cnf(c_0_5734,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4406,
    [final] ).

cnf(c_0_5735,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4407,
    [final] ).

cnf(c_0_5736,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4408,
    [final] ).

cnf(c_0_5737,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    c_0_4409,
    [final] ).

cnf(c_0_5738,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    c_0_4410,
    [final] ).

cnf(c_0_5739,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) ),
    c_0_4411,
    [final] ).

cnf(c_0_5740,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) ),
    c_0_4412,
    [final] ).

cnf(c_0_5741,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) ),
    c_0_4413,
    [final] ).

cnf(c_0_5742,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) ),
    c_0_4414,
    [final] ).

cnf(c_0_5743,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) ),
    c_0_4415,
    [final] ).

cnf(c_0_5744,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_4416,
    [final] ).

cnf(c_0_5745,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4417,
    [final] ).

cnf(c_0_5746,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_4418,
    [final] ).

cnf(c_0_5747,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_4419,
    [final] ).

cnf(c_0_5748,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4420,
    [final] ).

cnf(c_0_5749,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_4421,
    [final] ).

cnf(c_0_5750,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4422,
    [final] ).

cnf(c_0_5751,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    c_0_4423,
    [final] ).

cnf(c_0_5752,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__algebra(X4) ),
    c_0_4424,
    [final] ).

cnf(c_0_5753,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__algebra(X3) ),
    c_0_4425,
    [final] ).

cnf(c_0_5754,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_4426,
    [final] ).

cnf(c_0_5755,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_4427,
    [final] ).

cnf(c_0_5756,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4428,
    [final] ).

cnf(c_0_5757,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4429,
    [final] ).

cnf(c_0_5758,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4430,
    [final] ).

cnf(c_0_5759,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_4431,
    [final] ).

cnf(c_0_5760,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4432,
    [final] ).

cnf(c_0_5761,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_4433,
    [final] ).

cnf(c_0_5762,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    c_0_4434,
    [final] ).

cnf(c_0_5763,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_4435,
    [final] ).

cnf(c_0_5764,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_4436,
    [final] ).

cnf(c_0_5765,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_4437,
    [final] ).

cnf(c_0_5766,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    c_0_4438,
    [final] ).

cnf(c_0_5767,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4439,
    [final] ).

cnf(c_0_5768,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_4440,
    [final] ).

cnf(c_0_5769,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_4441,
    [final] ).

cnf(c_0_5770,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_4442,
    [final] ).

cnf(c_0_5771,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4443,
    [final] ).

cnf(c_0_5772,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4444,
    [final] ).

cnf(c_0_5773,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
    c_0_4445,
    [final] ).

cnf(c_0_5774,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4446,
    [final] ).

cnf(c_0_5775,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_4447,
    [final] ).

cnf(c_0_5776,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4448,
    [final] ).

cnf(c_0_5777,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_4449,
    [final] ).

cnf(c_0_5778,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    c_0_4450,
    [final] ).

cnf(c_0_5779,plain,
    ( 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) ),
    c_0_4451,
    [final] ).

cnf(c_0_5780,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4452,
    [final] ).

cnf(c_0_5781,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4453,
    [final] ).

cnf(c_0_5782,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4454,
    [final] ).

cnf(c_0_5783,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4455,
    [final] ).

cnf(c_0_5784,plain,
    ( 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),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4456,
    [final] ).

cnf(c_0_5785,plain,
    ( 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),X1,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(X1,X2,tc_RealDef_Oreal) ),
    c_0_4457,
    [final] ).

cnf(c_0_5786,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4458,
    [final] ).

cnf(c_0_5787,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4459,
    [final] ).

cnf(c_0_5788,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4460,
    [final] ).

cnf(c_0_5789,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4461,
    [final] ).

cnf(c_0_5790,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4462,
    [final] ).

cnf(c_0_5791,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4463,
    [final] ).

cnf(c_0_5792,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4464,
    [final] ).

cnf(c_0_5793,plain,
    c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4465,
    [final] ).

cnf(c_0_5794,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4466,
    [final] ).

cnf(c_0_5795,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4467,
    [final] ).

cnf(c_0_5796,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4468,
    [final] ).

cnf(c_0_5797,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4469,
    [final] ).

cnf(c_0_5798,plain,
    ( c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    c_0_4470,
    [final] ).

cnf(c_0_5799,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    c_0_4471,
    [final] ).

cnf(c_0_5800,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_4472,
    [final] ).

cnf(c_0_5801,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_4473,
    [final] ).

cnf(c_0_5802,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_4474,
    [final] ).

cnf(c_0_5803,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_4475,
    [final] ).

cnf(c_0_5804,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4476,
    [final] ).

cnf(c_0_5805,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4477,
    [final] ).

cnf(c_0_5806,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4478,
    [final] ).

cnf(c_0_5807,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4479,
    [final] ).

cnf(c_0_5808,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),
    c_0_4480,
    [final] ).

cnf(c_0_5809,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),
    c_0_4481,
    [final] ).

cnf(c_0_5810,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_4482,
    [final] ).

cnf(c_0_5811,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4483,
    [final] ).

cnf(c_0_5812,plain,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    c_0_4484,
    [final] ).

cnf(c_0_5813,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4485,
    [final] ).

cnf(c_0_5814,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    c_0_4486,
    [final] ).

cnf(c_0_5815,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4487,
    [final] ).

cnf(c_0_5816,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_4488,
    [final] ).

cnf(c_0_5817,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    c_0_4489,
    [final] ).

cnf(c_0_5818,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4490,
    [final] ).

cnf(c_0_5819,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_4491,
    [final] ).

cnf(c_0_5820,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_4492,
    [final] ).

cnf(c_0_5821,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_4493,
    [final] ).

cnf(c_0_5822,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4494,
    [final] ).

cnf(c_0_5823,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4495,
    [final] ).

cnf(c_0_5824,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_4496,
    [final] ).

cnf(c_0_5825,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_4497,
    [final] ).

cnf(c_0_5826,plain,
    ( c_HOL_Otimes__class_Otimes(X2,c_Log_Olog(X3,X1),tc_RealDef_Oreal) = c_Log_Olog(X3,c_Log_Opowr(X1,X2))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4498,
    [final] ).

cnf(c_0_5827,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4499,
    [final] ).

cnf(c_0_5828,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4500,
    [final] ).

cnf(c_0_5829,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4501,
    [final] ).

cnf(c_0_5830,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4502,
    [final] ).

cnf(c_0_5831,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4503,
    [final] ).

cnf(c_0_5832,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4504,
    [final] ).

cnf(c_0_5833,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4505,
    [final] ).

cnf(c_0_5834,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4506,
    [final] ).

cnf(c_0_5835,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4507,
    [final] ).

cnf(c_0_5836,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4508,
    [final] ).

cnf(c_0_5837,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_4509,
    [final] ).

cnf(c_0_5838,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(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)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_4510,
    [final] ).

cnf(c_0_5839,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_4511,
    [final] ).

cnf(c_0_5840,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4512,
    [final] ).

cnf(c_0_5841,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4513,
    [final] ).

cnf(c_0_5842,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4514,
    [final] ).

cnf(c_0_5843,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4515,
    [final] ).

cnf(c_0_5844,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_4516,
    [final] ).

cnf(c_0_5845,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4517,
    [final] ).

cnf(c_0_5846,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4518,
    [final] ).

cnf(c_0_5847,plain,
    ( c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_4519,
    [final] ).

cnf(c_0_5848,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    c_0_4520,
    [final] ).

cnf(c_0_5849,plain,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    c_0_4521,
    [final] ).

cnf(c_0_5850,plain,
    ( c_lessequals(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    c_0_4522,
    [final] ).

cnf(c_0_5851,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4523,
    [final] ).

cnf(c_0_5852,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4524,
    [final] ).

cnf(c_0_5853,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4525,
    [final] ).

cnf(c_0_5854,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4526,
    [final] ).

cnf(c_0_5855,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4527,
    [final] ).

cnf(c_0_5856,plain,
    ~ 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),
    c_0_4528,
    [final] ).

cnf(c_0_5857,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4529,
    [final] ).

cnf(c_0_5858,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_4530,
    [final] ).

cnf(c_0_5859,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4531,
    [final] ).

cnf(c_0_5860,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4532,
    [final] ).

cnf(c_0_5861,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4533,
    [final] ).

cnf(c_0_5862,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4534,
    [final] ).

cnf(c_0_5863,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4535,
    [final] ).

cnf(c_0_5864,plain,
    ( c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X2))
    | ~ 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),X2,tc_RealDef_Oreal) ),
    c_0_4536,
    [final] ).

cnf(c_0_5865,plain,
    ( X1 = X2
    | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4537,
    [final] ).

cnf(c_0_5866,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_4538,
    [final] ).

cnf(c_0_5867,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4539,
    [final] ).

cnf(c_0_5868,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4540,
    [final] ).

cnf(c_0_5869,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4541,
    [final] ).

cnf(c_0_5870,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4542,
    [final] ).

cnf(c_0_5871,plain,
    ( c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4543,
    [final] ).

cnf(c_0_5872,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4544,
    [final] ).

cnf(c_0_5873,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4545,
    [final] ).

cnf(c_0_5874,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4546,
    [final] ).

cnf(c_0_5875,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4547,
    [final] ).

cnf(c_0_5876,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4548,
    [final] ).

cnf(c_0_5877,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4549,
    [final] ).

cnf(c_0_5878,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4550,
    [final] ).

cnf(c_0_5879,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4551,
    [final] ).

cnf(c_0_5880,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4552,
    [final] ).

cnf(c_0_5881,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4553,
    [final] ).

cnf(c_0_5882,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4554,
    [final] ).

cnf(c_0_5883,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_4555,
    [final] ).

cnf(c_0_5884,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_4556,
    [final] ).

cnf(c_0_5885,plain,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4557,
    [final] ).

cnf(c_0_5886,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4558,
    [final] ).

cnf(c_0_5887,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4559,
    [final] ).

cnf(c_0_5888,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    c_0_4560,
    [final] ).

cnf(c_0_5889,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4561,
    [final] ).

cnf(c_0_5890,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4562,
    [final] ).

cnf(c_0_5891,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    c_0_4563,
    [final] ).

cnf(c_0_5892,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4564,
    [final] ).

cnf(c_0_5893,plain,
    ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_SEQ_Obanach(X3) ),
    c_0_4565,
    [final] ).

cnf(c_0_5894,plain,
    ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    c_0_4566,
    [final] ).

cnf(c_0_5895,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_4567,
    [final] ).

cnf(c_0_5896,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4568,
    [final] ).

cnf(c_0_5897,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_SEQ_Obanach(X3) ),
    c_0_4569,
    [final] ).

cnf(c_0_5898,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__div__algebra(X3) ),
    c_0_4570,
    [final] ).

cnf(c_0_5899,plain,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_4571,
    [final] ).

cnf(c_0_5900,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4572,
    [final] ).

cnf(c_0_5901,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4573,
    [final] ).

cnf(c_0_5902,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4574,
    [final] ).

cnf(c_0_5903,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4575,
    [final] ).

cnf(c_0_5904,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4576,
    [final] ).

cnf(c_0_5905,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4577,
    [final] ).

cnf(c_0_5906,plain,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_4578,
    [final] ).

cnf(c_0_5907,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__div__algebra(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_4579,
    [final] ).

cnf(c_0_5908,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    c_0_4580,
    [final] ).

cnf(c_0_5909,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    c_0_4581,
    [final] ).

cnf(c_0_5910,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4582,
    [final] ).

cnf(c_0_5911,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4583,
    [final] ).

cnf(c_0_5912,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4584,
    [final] ).

cnf(c_0_5913,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4585,
    [final] ).

cnf(c_0_5914,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4586,
    [final] ).

cnf(c_0_5915,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4587,
    [final] ).

cnf(c_0_5916,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4588,
    [final] ).

cnf(c_0_5917,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4589,
    [final] ).

cnf(c_0_5918,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4590,
    [final] ).

cnf(c_0_5919,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_4591,
    [final] ).

cnf(c_0_5920,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_4592,
    [final] ).

cnf(c_0_5921,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    c_0_4593,
    [final] ).

cnf(c_0_5922,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_4594,
    [final] ).

cnf(c_0_5923,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_4595,
    [final] ).

cnf(c_0_5924,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4596,
    [final] ).

cnf(c_0_5925,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_4597,
    [final] ).

cnf(c_0_5926,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_4598,
    [final] ).

cnf(c_0_5927,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_4599,
    [final] ).

cnf(c_0_5928,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    c_0_4600,
    [final] ).

cnf(c_0_5929,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    c_0_4601,
    [final] ).

cnf(c_0_5930,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    c_0_4602,
    [final] ).

cnf(c_0_5931,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4603,
    [final] ).

cnf(c_0_5932,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_4604,
    [final] ).

cnf(c_0_5933,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_4605,
    [final] ).

cnf(c_0_5934,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_4606,
    [final] ).

cnf(c_0_5935,plain,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4607,
    [final] ).

cnf(c_0_5936,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4608,
    [final] ).

cnf(c_0_5937,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4609,
    [final] ).

cnf(c_0_5938,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4610,
    [final] ).

cnf(c_0_5939,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4611,
    [final] ).

cnf(c_0_5940,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4612,
    [final] ).

cnf(c_0_5941,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4613,
    [final] ).

cnf(c_0_5942,plain,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4614,
    [final] ).

cnf(c_0_5943,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4615,
    [final] ).

cnf(c_0_5944,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4616,
    [final] ).

cnf(c_0_5945,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3) ),
    c_0_4617,
    [final] ).

cnf(c_0_5946,plain,
    c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) = c_Log_Opowr(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_RealDef_Oreal)),
    c_0_4618,
    [final] ).

cnf(c_0_5947,plain,
    c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) = c_Log_Opowr(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_RealDef_Oreal)),
    c_0_4619,
    [final] ).

cnf(c_0_5948,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_Log_Olog(X1,X2)) = X2
    | ~ 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),X2,tc_RealDef_Oreal) ),
    c_0_4620,
    [final] ).

cnf(c_0_5949,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_4621,
    [final] ).

cnf(c_0_5950,plain,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_4622,
    [final] ).

cnf(c_0_5951,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4623,
    [final] ).

cnf(c_0_5952,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4624,
    [final] ).

cnf(c_0_5953,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4625,
    [final] ).

cnf(c_0_5954,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4626,
    [final] ).

cnf(c_0_5955,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4627,
    [final] ).

cnf(c_0_5956,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4628,
    [final] ).

cnf(c_0_5957,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4629,
    [final] ).

cnf(c_0_5958,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4630,
    [final] ).

cnf(c_0_5959,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4631,
    [final] ).

cnf(c_0_5960,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4632,
    [final] ).

cnf(c_0_5961,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4633,
    [final] ).

cnf(c_0_5962,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4634,
    [final] ).

cnf(c_0_5963,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4635,
    [final] ).

cnf(c_0_5964,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4636,
    [final] ).

cnf(c_0_5965,plain,
    ( c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4637,
    [final] ).

cnf(c_0_5966,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4638,
    [final] ).

cnf(c_0_5967,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4639,
    [final] ).

cnf(c_0_5968,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_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4640,
    [final] ).

cnf(c_0_5969,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4641,
    [final] ).

cnf(c_0_5970,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4642,
    [final] ).

cnf(c_0_5971,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4643,
    [final] ).

cnf(c_0_5972,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | 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_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4644,
    [final] ).

cnf(c_0_5973,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4645,
    [final] ).

cnf(c_0_5974,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4646,
    [final] ).

cnf(c_0_5975,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4647,
    [final] ).

cnf(c_0_5976,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    c_0_4648,
    [final] ).

cnf(c_0_5977,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4649,
    [final] ).

cnf(c_0_5978,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_4650,
    [final] ).

cnf(c_0_5979,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4651,
    [final] ).

cnf(c_0_5980,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_4652,
    [final] ).

cnf(c_0_5981,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_4653,
    [final] ).

cnf(c_0_5982,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_4654,
    [final] ).

cnf(c_0_5983,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4655,
    [final] ).

cnf(c_0_5984,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_4656,
    [final] ).

cnf(c_0_5985,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_4657,
    [final] ).

cnf(c_0_5986,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_4658,
    [final] ).

cnf(c_0_5987,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_4659,
    [final] ).

cnf(c_0_5988,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_4660,
    [final] ).

cnf(c_0_5989,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_4661,
    [final] ).

cnf(c_0_5990,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_4662,
    [final] ).

cnf(c_0_5991,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_4663,
    [final] ).

cnf(c_0_5992,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) ),
    c_0_4664,
    [final] ).

cnf(c_0_5993,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4665,
    [final] ).

cnf(c_0_5994,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) ),
    c_0_4666,
    [final] ).

cnf(c_0_5995,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4667,
    [final] ).

cnf(c_0_5996,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4668,
    [final] ).

cnf(c_0_5997,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4669,
    [final] ).

cnf(c_0_5998,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_4670,
    [final] ).

cnf(c_0_5999,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_4671,
    [final] ).

cnf(c_0_6000,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4672,
    [final] ).

cnf(c_0_6001,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4673,
    [final] ).

cnf(c_0_6002,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4674,
    [final] ).

cnf(c_0_6003,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4675,
    [final] ).

cnf(c_0_6004,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4676,
    [final] ).

cnf(c_0_6005,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4677,
    [final] ).

cnf(c_0_6006,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4678,
    [final] ).

cnf(c_0_6007,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4679,
    [final] ).

cnf(c_0_6008,plain,
    ( X1 = X2
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_4680,
    [final] ).

cnf(c_0_6009,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4681,
    [final] ).

cnf(c_0_6010,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_4682,
    [final] ).

cnf(c_0_6011,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_4683,
    [final] ).

cnf(c_0_6012,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4684,
    [final] ).

cnf(c_0_6013,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_4685,
    [final] ).

cnf(c_0_6014,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_4686,
    [final] ).

cnf(c_0_6015,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4687,
    [final] ).

cnf(c_0_6016,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4688,
    [final] ).

cnf(c_0_6017,plain,
    ( X1 = X2
    | ~ 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),X2,tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
    c_0_4689,
    [final] ).

cnf(c_0_6018,plain,
    ( 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_4690,
    [final] ).

cnf(c_0_6019,plain,
    ( 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_4691,
    [final] ).

cnf(c_0_6020,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4692,
    [final] ).

cnf(c_0_6021,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4693,
    [final] ).

cnf(c_0_6022,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_4694,
    [final] ).

cnf(c_0_6023,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_4695,
    [final] ).

cnf(c_0_6024,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4696,
    [final] ).

cnf(c_0_6025,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_4697,
    [final] ).

cnf(c_0_6026,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_4698,
    [final] ).

cnf(c_0_6027,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_4699,
    [final] ).

cnf(c_0_6028,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4700,
    [final] ).

cnf(c_0_6029,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4701,
    [final] ).

cnf(c_0_6030,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4702,
    [final] ).

cnf(c_0_6031,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    c_0_4703,
    [final] ).

cnf(c_0_6032,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4704,
    [final] ).

cnf(c_0_6033,plain,
    c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4705,
    [final] ).

cnf(c_0_6034,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_4706,
    [final] ).

cnf(c_0_6035,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4707,
    [final] ).

cnf(c_0_6036,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_4708,
    [final] ).

cnf(c_0_6037,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_4709,
    [final] ).

cnf(c_0_6038,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4710,
    [final] ).

cnf(c_0_6039,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4711,
    [final] ).

cnf(c_0_6040,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_4712,
    [final] ).

cnf(c_0_6041,plain,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4713,
    [final] ).

cnf(c_0_6042,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Odist__class_Odist(X1,X2,X3)
    | ~ class_RealVector_Odist__norm(X3) ),
    c_0_4714,
    [final] ).

cnf(c_0_6043,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4715,
    [final] ).

cnf(c_0_6044,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4716,
    [final] ).

cnf(c_0_6045,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4717,
    [final] ).

cnf(c_0_6046,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4718,
    [final] ).

cnf(c_0_6047,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4719,
    [final] ).

cnf(c_0_6048,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4720,
    [final] ).

cnf(c_0_6049,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4721,
    [final] ).

cnf(c_0_6050,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4722,
    [final] ).

cnf(c_0_6051,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4723,
    [final] ).

cnf(c_0_6052,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4724,
    [final] ).

cnf(c_0_6053,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4725,
    [final] ).

cnf(c_0_6054,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4726,
    [final] ).

cnf(c_0_6055,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_4727,
    [final] ).

cnf(c_0_6056,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4728,
    [final] ).

cnf(c_0_6057,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_4729,
    [final] ).

cnf(c_0_6058,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_4730,
    [final] ).

cnf(c_0_6059,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_4731,
    [final] ).

cnf(c_0_6060,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    c_0_4732,
    [final] ).

cnf(c_0_6061,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4733,
    [final] ).

cnf(c_0_6062,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4734,
    [final] ).

cnf(c_0_6063,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4735,
    [final] ).

cnf(c_0_6064,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4736,
    [final] ).

cnf(c_0_6065,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4737,
    [final] ).

cnf(c_0_6066,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4738,
    [final] ).

cnf(c_0_6067,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_4739,
    [final] ).

cnf(c_0_6068,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4740,
    [final] ).

cnf(c_0_6069,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4741,
    [final] ).

cnf(c_0_6070,plain,
    ( 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) ),
    c_0_4742,
    [final] ).

cnf(c_0_6071,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4743,
    [final] ).

cnf(c_0_6072,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_4744,
    [final] ).

cnf(c_0_6073,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4745,
    [final] ).

cnf(c_0_6074,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4746,
    [final] ).

cnf(c_0_6075,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4747,
    [final] ).

cnf(c_0_6076,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4748,
    [final] ).

cnf(c_0_6077,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_4749,
    [final] ).

cnf(c_0_6078,plain,
    c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)),
    c_0_4750,
    [final] ).

cnf(c_0_6079,plain,
    c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)),
    c_0_4751,
    [final] ).

cnf(c_0_6080,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4752,
    [final] ).

cnf(c_0_6081,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4753,
    [final] ).

cnf(c_0_6082,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
    c_0_4754,
    [final] ).

cnf(c_0_6083,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
    c_0_4755,
    [final] ).

cnf(c_0_6084,plain,
    ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_4756,
    [final] ).

cnf(c_0_6085,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4757,
    [final] ).

cnf(c_0_6086,plain,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_4758,
    [final] ).

cnf(c_0_6087,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4759,
    [final] ).

cnf(c_0_6088,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_4760,
    [final] ).

cnf(c_0_6089,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4761,
    [final] ).

cnf(c_0_6090,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_4762,
    [final] ).

cnf(c_0_6091,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_4763,
    [final] ).

cnf(c_0_6092,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4764,
    [final] ).

cnf(c_0_6093,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4765,
    [final] ).

cnf(c_0_6094,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4766,
    [final] ).

cnf(c_0_6095,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4767,
    [final] ).

cnf(c_0_6096,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4768,
    [final] ).

cnf(c_0_6097,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4769,
    [final] ).

cnf(c_0_6098,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4770,
    [final] ).

cnf(c_0_6099,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4771,
    [final] ).

cnf(c_0_6100,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4772,
    [final] ).

cnf(c_0_6101,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    c_0_4773,
    [final] ).

cnf(c_0_6102,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4774,
    [final] ).

cnf(c_0_6103,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    c_0_4775,
    [final] ).

cnf(c_0_6104,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_4776,
    [final] ).

cnf(c_0_6105,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4777,
    [final] ).

cnf(c_0_6106,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4778,
    [final] ).

cnf(c_0_6107,plain,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4779,
    [final] ).

cnf(c_0_6108,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4780,
    [final] ).

cnf(c_0_6109,plain,
    ( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4781,
    [final] ).

cnf(c_0_6110,plain,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4782,
    [final] ).

cnf(c_0_6111,plain,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4783,
    [final] ).

cnf(c_0_6112,plain,
    ( 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)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4784,
    [final] ).

cnf(c_0_6113,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_4785,
    [final] ).

cnf(c_0_6114,plain,
    c_Log_Opowr(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal)) = c_Log_Opowr(c_Log_Opowr(X1,X2),X3),
    c_0_4786,
    [final] ).

cnf(c_0_6115,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = X1,
    c_0_4787,
    [final] ).

cnf(c_0_6116,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = X1,
    c_0_4788,
    [final] ).

cnf(c_0_6117,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_4789,
    [final] ).

cnf(c_0_6118,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    c_0_4790,
    [final] ).

cnf(c_0_6119,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    c_0_4791,
    [final] ).

cnf(c_0_6120,plain,
    ( ~ 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)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_4792,
    [final] ).

cnf(c_0_6121,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4793,
    [final] ).

cnf(c_0_6122,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_4794,
    [final] ).

cnf(c_0_6123,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4795,
    [final] ).

cnf(c_0_6124,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_4796,
    [final] ).

cnf(c_0_6125,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_4797,
    [final] ).

cnf(c_0_6126,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4798,
    [final] ).

cnf(c_0_6127,plain,
    ( c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4799,
    [final] ).

cnf(c_0_6128,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_4800,
    [final] ).

cnf(c_0_6129,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4801,
    [final] ).

cnf(c_0_6130,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4802,
    [final] ).

cnf(c_0_6131,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4803,
    [final] ).

cnf(c_0_6132,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4804,
    [final] ).

cnf(c_0_6133,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4805,
    [final] ).

cnf(c_0_6134,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4806,
    [final] ).

cnf(c_0_6135,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4807,
    [final] ).

cnf(c_0_6136,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4808,
    [final] ).

cnf(c_0_6137,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4809,
    [final] ).

cnf(c_0_6138,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4810,
    [final] ).

cnf(c_0_6139,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4811,
    [final] ).

cnf(c_0_6140,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4812,
    [final] ).

cnf(c_0_6141,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4813,
    [final] ).

cnf(c_0_6142,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4814,
    [final] ).

cnf(c_0_6143,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4815,
    [final] ).

cnf(c_0_6144,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4816,
    [final] ).

cnf(c_0_6145,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4817,
    [final] ).

cnf(c_0_6146,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4818,
    [final] ).

cnf(c_0_6147,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4819,
    [final] ).

cnf(c_0_6148,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4820,
    [final] ).

cnf(c_0_6149,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4821,
    [final] ).

cnf(c_0_6150,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4822,
    [final] ).

cnf(c_0_6151,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),X1,X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_RealVector_Osgn__div__norm(X2) ),
    c_0_4823,
    [final] ).

cnf(c_0_6152,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4824,
    [final] ).

cnf(c_0_6153,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4825,
    [final] ).

cnf(c_0_6154,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_4826,
    [final] ).

cnf(c_0_6155,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_4827,
    [final] ).

cnf(c_0_6156,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4828,
    [final] ).

cnf(c_0_6157,plain,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4829,
    [final] ).

cnf(c_0_6158,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4830,
    [final] ).

cnf(c_0_6159,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4831,
    [final] ).

cnf(c_0_6160,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4832,
    [final] ).

cnf(c_0_6161,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4833,
    [final] ).

cnf(c_0_6162,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4834,
    [final] ).

cnf(c_0_6163,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4835,
    [final] ).

cnf(c_0_6164,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_4836,
    [final] ).

cnf(c_0_6165,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_4837,
    [final] ).

cnf(c_0_6166,plain,
    ( c_lessequals(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4838,
    [final] ).

cnf(c_0_6167,plain,
    ( 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) ),
    c_0_4839,
    [final] ).

cnf(c_0_6168,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4840,
    [final] ).

cnf(c_0_6169,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4841,
    [final] ).

cnf(c_0_6170,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4842,
    [final] ).

cnf(c_0_6171,plain,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    c_0_4843,
    [final] ).

cnf(c_0_6172,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4844,
    [final] ).

cnf(c_0_6173,plain,
    c_Transcendental_Oexp(c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Log_Opowr(X1,X2),
    c_0_4845,
    [final] ).

cnf(c_0_6174,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4846,
    [final] ).

cnf(c_0_6175,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_4847,
    [final] ).

cnf(c_0_6176,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_4848,
    [final] ).

cnf(c_0_6177,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_4849,
    [final] ).

cnf(c_0_6178,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4850,
    [final] ).

cnf(c_0_6179,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_4851,
    [final] ).

cnf(c_0_6180,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3) ),
    c_0_4852,
    [final] ).

cnf(c_0_6181,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4853,
    [final] ).

cnf(c_0_6182,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4854,
    [final] ).

cnf(c_0_6183,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_4855,
    [final] ).

cnf(c_0_6184,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_4856,
    [final] ).

cnf(c_0_6185,plain,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4857,
    [final] ).

cnf(c_0_6186,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_4858,
    [final] ).

cnf(c_0_6187,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4859,
    [final] ).

cnf(c_0_6188,plain,
    ( c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4860,
    [final] ).

cnf(c_0_6189,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_Log_Opowr(X1,X2)) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4861,
    [final] ).

cnf(c_0_6190,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4862,
    [final] ).

cnf(c_0_6191,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    c_0_4863,
    [final] ).

cnf(c_0_6192,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4864,
    [final] ).

cnf(c_0_6193,plain,
    c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),
    c_0_4865,
    [final] ).

cnf(c_0_6194,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),
    c_0_4866,
    [final] ).

cnf(c_0_6195,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_4867,
    [final] ).

cnf(c_0_6196,plain,
    ( c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    c_0_4868,
    [final] ).

cnf(c_0_6197,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    c_0_4869,
    [final] ).

cnf(c_0_6198,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4870,
    [final] ).

cnf(c_0_6199,plain,
    ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4871,
    [final] ).

cnf(c_0_6200,plain,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4872,
    [final] ).

cnf(c_0_6201,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    c_0_4873,
    [final] ).

cnf(c_0_6202,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    c_0_4874,
    [final] ).

cnf(c_0_6203,plain,
    c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
    c_0_4875,
    [final] ).

cnf(c_0_6204,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    c_0_4876,
    [final] ).

cnf(c_0_6205,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_4877,
    [final] ).

cnf(c_0_6206,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4878,
    [final] ).

cnf(c_0_6207,plain,
    ( c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_4879,
    [final] ).

cnf(c_0_6208,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4880,
    [final] ).

cnf(c_0_6209,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4881,
    [final] ).

cnf(c_0_6210,plain,
    c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
    c_0_4882,
    [final] ).

cnf(c_0_6211,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4883,
    [final] ).

cnf(c_0_6212,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4884,
    [final] ).

cnf(c_0_6213,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4885,
    [final] ).

cnf(c_0_6214,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4886,
    [final] ).

cnf(c_0_6215,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_4887,
    [final] ).

cnf(c_0_6216,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) = c_Log_Opowr(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)),
    c_0_4888,
    [final] ).

cnf(c_0_6217,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) = X1
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4889,
    [final] ).

cnf(c_0_6218,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4890,
    [final] ).

cnf(c_0_6219,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_4891,
    [final] ).

cnf(c_0_6220,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_4892,
    [final] ).

cnf(c_0_6221,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4893,
    [final] ).

cnf(c_0_6222,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4894,
    [final] ).

cnf(c_0_6223,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4895,
    [final] ).

cnf(c_0_6224,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_4896,
    [final] ).

cnf(c_0_6225,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_4897,
    [final] ).

cnf(c_0_6226,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4898,
    [final] ).

cnf(c_0_6227,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_4899,
    [final] ).

cnf(c_0_6228,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_4900,
    [final] ).

cnf(c_0_6229,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4901,
    [final] ).

cnf(c_0_6230,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4902,
    [final] ).

cnf(c_0_6231,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_4903,
    [final] ).

cnf(c_0_6232,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_4904,
    [final] ).

cnf(c_0_6233,plain,
    ( c_RealVector_Odist__class_Odist(X1,X2,X3) = c_RealVector_Odist__class_Odist(X2,X1,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4905,
    [final] ).

cnf(c_0_6234,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4906,
    [final] ).

cnf(c_0_6235,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_4907,
    [final] ).

cnf(c_0_6236,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_4908,
    [final] ).

cnf(c_0_6237,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_4909,
    [final] ).

cnf(c_0_6238,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4910,
    [final] ).

cnf(c_0_6239,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4911,
    [final] ).

cnf(c_0_6240,plain,
    ( c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4912,
    [final] ).

cnf(c_0_6241,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4913,
    [final] ).

cnf(c_0_6242,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Int_Onumber__ring(X2) ),
    c_0_4914,
    [final] ).

cnf(c_0_6243,plain,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4915,
    [final] ).

cnf(c_0_6244,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_4916,
    [final] ).

cnf(c_0_6245,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_4917,
    [final] ).

cnf(c_0_6246,plain,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_4918,
    [final] ).

cnf(c_0_6247,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_4919,
    [final] ).

cnf(c_0_6248,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_4920,
    [final] ).

cnf(c_0_6249,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    c_0_4921,
    [final] ).

cnf(c_0_6250,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4922,
    [final] ).

cnf(c_0_6251,plain,
    c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
    c_0_4923,
    [final] ).

cnf(c_0_6252,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_4924,
    [final] ).

cnf(c_0_6253,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_4925,
    [final] ).

cnf(c_0_6254,plain,
    ( c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4926,
    [final] ).

cnf(c_0_6255,plain,
    ( c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal) = X1
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4927,
    [final] ).

cnf(c_0_6256,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_4928,
    [final] ).

cnf(c_0_6257,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    c_0_4929,
    [final] ).

cnf(c_0_6258,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4930,
    [final] ).

cnf(c_0_6259,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_4931,
    [final] ).

cnf(c_0_6260,plain,
    ( X1 = X2
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_4932,
    [final] ).

cnf(c_0_6261,plain,
    ( c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4933,
    [final] ).

cnf(c_0_6262,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_4934,
    [final] ).

cnf(c_0_6263,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_4935,
    [final] ).

cnf(c_0_6264,plain,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    c_0_4936,
    [final] ).

cnf(c_0_6265,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4937,
    [final] ).

cnf(c_0_6266,plain,
    ( c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_4938,
    [final] ).

cnf(c_0_6267,plain,
    ( c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4939,
    [final] ).

cnf(c_0_6268,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4940,
    [final] ).

cnf(c_0_6269,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4941,
    [final] ).

cnf(c_0_6270,plain,
    ( 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) ),
    c_0_4942,
    [final] ).

cnf(c_0_6271,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_4943,
    [final] ).

cnf(c_0_6272,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_4944,
    [final] ).

cnf(c_0_6273,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_4945,
    [final] ).

cnf(c_0_6274,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    c_0_4946,
    [final] ).

cnf(c_0_6275,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4947,
    [final] ).

cnf(c_0_6276,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4948,
    [final] ).

cnf(c_0_6277,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_4949,
    [final] ).

cnf(c_0_6278,plain,
    ( X1 = X2
    | c_RealVector_Odist__class_Odist(X1,X2,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_4950,
    [final] ).

cnf(c_0_6279,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4951,
    [final] ).

cnf(c_0_6280,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4952,
    [final] ).

cnf(c_0_6281,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4953,
    [final] ).

cnf(c_0_6282,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_4954,
    [final] ).

cnf(c_0_6283,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4955,
    [final] ).

cnf(c_0_6284,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4956,
    [final] ).

cnf(c_0_6285,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4957,
    [final] ).

cnf(c_0_6286,plain,
    ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    c_0_4958,
    [final] ).

cnf(c_0_6287,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4959,
    [final] ).

cnf(c_0_6288,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4960,
    [final] ).

cnf(c_0_6289,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_4961,
    [final] ).

cnf(c_0_6290,plain,
    ( c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4962,
    [final] ).

cnf(c_0_6291,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4963,
    [final] ).

cnf(c_0_6292,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_4964,
    [final] ).

cnf(c_0_6293,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_4965,
    [final] ).

cnf(c_0_6294,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_4966,
    [final] ).

cnf(c_0_6295,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_4967,
    [final] ).

cnf(c_0_6296,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_4968,
    [final] ).

cnf(c_0_6297,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_4969,
    [final] ).

cnf(c_0_6298,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) != X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4970,
    [final] ).

cnf(c_0_6299,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_4971,
    [final] ).

cnf(c_0_6300,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_4972,
    [final] ).

cnf(c_0_6301,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_4973,
    [final] ).

cnf(c_0_6302,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_4974,
    [final] ).

cnf(c_0_6303,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_4975,
    [final] ).

cnf(c_0_6304,plain,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4976,
    [final] ).

cnf(c_0_6305,plain,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4977,
    [final] ).

cnf(c_0_6306,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4978,
    [final] ).

cnf(c_0_6307,plain,
    ( c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    c_0_4979,
    [final] ).

cnf(c_0_6308,plain,
    ( c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__div__algebra(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    c_0_4980,
    [final] ).

cnf(c_0_6309,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    c_0_4981,
    [final] ).

cnf(c_0_6310,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_4982,
    [final] ).

cnf(c_0_6311,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4983,
    [final] ).

cnf(c_0_6312,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4984,
    [final] ).

cnf(c_0_6313,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_4985,
    [final] ).

cnf(c_0_6314,plain,
    c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),
    c_0_4986,
    [final] ).

cnf(c_0_6315,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__div__algebra(X2) ),
    c_0_4987,
    [final] ).

cnf(c_0_6316,plain,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_4988,
    [final] ).

cnf(c_0_6317,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) != X1 ),
    c_0_4989,
    [final] ).

cnf(c_0_6318,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_4990,
    [final] ).

cnf(c_0_6319,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4991,
    [final] ).

cnf(c_0_6320,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_4992,
    [final] ).

cnf(c_0_6321,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_4993,
    [final] ).

cnf(c_0_6322,plain,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_4994,
    [final] ).

cnf(c_0_6323,plain,
    ~ c_Ring__and__Field_Ozero__neq__one(X1,X1,X2),
    c_0_4995,
    [final] ).

cnf(c_0_6324,plain,
    ( 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_4996,
    [final] ).

cnf(c_0_6325,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X1 ),
    c_0_4997,
    [final] ).

cnf(c_0_6326,plain,
    ( c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    c_0_4998,
    [final] ).

cnf(c_0_6327,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_4999,
    [final] ).

cnf(c_0_6328,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    c_0_5000,
    [final] ).

cnf(c_0_6329,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    c_0_5001,
    [final] ).

cnf(c_0_6330,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_5002,
    [final] ).

cnf(c_0_6331,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    c_0_5003,
    [final] ).

cnf(c_0_6332,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    c_0_5004,
    [final] ).

cnf(c_0_6333,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5005,
    [final] ).

cnf(c_0_6334,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_5006,
    [final] ).

cnf(c_0_6335,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2) = c_RealVector_Oof__real(X1,X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_5007,
    [final] ).

cnf(c_0_6336,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_5008,
    [final] ).

cnf(c_0_6337,plain,
    c_Log_Opowr(c_Log_Opowr(X1,X2),X3) = c_Log_Opowr(c_Log_Opowr(X1,X3),X2),
    c_0_5009,
    [final] ).

cnf(c_0_6338,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_5010,
    [final] ).

cnf(c_0_6339,plain,
    c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Log_Olog(X1,X2),
    c_0_5011,
    [final] ).

cnf(c_0_6340,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_5012,
    [final] ).

cnf(c_0_6341,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5013,
    [final] ).

cnf(c_0_6342,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5014,
    [final] ).

cnf(c_0_6343,plain,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_5015,
    [final] ).

cnf(c_0_6344,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5016,
    [final] ).

cnf(c_0_6345,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5017,
    [final] ).

cnf(c_0_6346,plain,
    ( 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) ),
    c_0_5018,
    [final] ).

cnf(c_0_6347,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_5019,
    [final] ).

cnf(c_0_6348,plain,
    c_Log_Opowr(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    c_0_5020,
    [final] ).

cnf(c_0_6349,plain,
    ( c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    c_0_5021,
    [final] ).

cnf(c_0_6350,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_5022,
    [final] ).

cnf(c_0_6351,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_5023,
    [final] ).

cnf(c_0_6352,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_5024,
    [final] ).

cnf(c_0_6353,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_5025,
    [final] ).

cnf(c_0_6354,plain,
    ( 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) ),
    c_0_5026,
    [final] ).

cnf(c_0_6355,plain,
    ( 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) ),
    c_0_5027,
    [final] ).

cnf(c_0_6356,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_5028,
    [final] ).

cnf(c_0_6357,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_5029,
    [final] ).

cnf(c_0_6358,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    c_0_5030,
    [final] ).

cnf(c_0_6359,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    c_0_5031,
    [final] ).

cnf(c_0_6360,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_5032,
    [final] ).

cnf(c_0_6361,plain,
    ( 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) ),
    c_0_5033,
    [final] ).

cnf(c_0_6362,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_5034,
    [final] ).

cnf(c_0_6363,plain,
    ( 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) ),
    c_0_5035,
    [final] ).

cnf(c_0_6364,plain,
    ( 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) ),
    c_0_5036,
    [final] ).

cnf(c_0_6365,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_5037,
    [final] ).

cnf(c_0_6366,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_5038,
    [final] ).

cnf(c_0_6367,plain,
    ( 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) ),
    c_0_5039,
    [final] ).

cnf(c_0_6368,plain,
    ( 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) ),
    c_0_5040,
    [final] ).

cnf(c_0_6369,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    c_0_5041,
    [final] ).

cnf(c_0_6370,plain,
    ( 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) ),
    c_0_5042,
    [final] ).

cnf(c_0_6371,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    c_0_5043,
    [final] ).

cnf(c_0_6372,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5044,
    [final] ).

cnf(c_0_6373,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5045,
    [final] ).

cnf(c_0_6374,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_5046,
    [final] ).

cnf(c_0_6375,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    c_0_5047,
    [final] ).

cnf(c_0_6376,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    c_0_5048,
    [final] ).

cnf(c_0_6377,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
    c_0_5049,
    [final] ).

cnf(c_0_6378,plain,
    c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_Transcendental_Otan(X1),
    c_0_5050,
    [final] ).

cnf(c_0_6379,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_5051,
    [final] ).

cnf(c_0_6380,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_5052,
    [final] ).

cnf(c_0_6381,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_5053,
    [final] ).

cnf(c_0_6382,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_5054,
    [final] ).

cnf(c_0_6383,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_5055,
    [final] ).

cnf(c_0_6384,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_5056,
    [final] ).

cnf(c_0_6385,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_5057,
    [final] ).

cnf(c_0_6386,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_5058,
    [final] ).

cnf(c_0_6387,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    c_0_5059,
    [final] ).

cnf(c_0_6388,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5060,
    [final] ).

cnf(c_0_6389,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_5061,
    [final] ).

cnf(c_0_6390,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_5062,
    [final] ).

cnf(c_0_6391,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_5063,
    [final] ).

cnf(c_0_6392,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_5064,
    [final] ).

cnf(c_0_6393,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    c_0_5065,
    [final] ).

cnf(c_0_6394,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_5066,
    [final] ).

cnf(c_0_6395,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__add(X2) ),
    c_0_5067,
    [final] ).

cnf(c_0_6396,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5068,
    [final] ).

cnf(c_0_6397,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_5069,
    [final] ).

cnf(c_0_6398,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_5070,
    [final] ).

cnf(c_0_6399,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5071,
    [final] ).

cnf(c_0_6400,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5072,
    [final] ).

cnf(c_0_6401,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_5073,
    [final] ).

cnf(c_0_6402,plain,
    ( c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_5074,
    [final] ).

cnf(c_0_6403,plain,
    c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_5075,
    [final] ).

cnf(c_0_6404,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X1),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_5076,
    [final] ).

cnf(c_0_6405,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_5077,
    [final] ).

cnf(c_0_6406,plain,
    ( c_RealVector_Odist__class_Odist(X1,X1,X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_5078,
    [final] ).

cnf(c_0_6407,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_5079,
    [final] ).

cnf(c_0_6408,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_5080,
    [final] ).

cnf(c_0_6409,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    c_0_5081,
    [final] ).

cnf(c_0_6410,plain,
    c_lessequals(c_Transcendental_Osin(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_5082,
    [final] ).

cnf(c_0_6411,plain,
    c_lessequals(c_Transcendental_Ocos(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    c_0_5083,
    [final] ).

cnf(c_0_6412,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_5084,
    [final] ).

cnf(c_0_6413,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_5085,
    [final] ).

cnf(c_0_6414,plain,
    ( 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) ),
    c_0_5086,
    [final] ).

cnf(c_0_6415,plain,
    c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(v_x),c_Transcendental_Ocos(v_x),tc_RealDef_Oreal) = c_Transcendental_Otan(v_x),
    c_0_5087,
    [final] ).

cnf(c_0_6416,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_5088,
    [final] ).

cnf(c_0_6417,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_5089,
    [final] ).

cnf(c_0_6418,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_5090,
    [final] ).

cnf(c_0_6419,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_5091,
    [final] ).

cnf(c_0_6420,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_5092,
    [final] ).

cnf(c_0_6421,plain,
    ( X1 = X2
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    c_0_5093,
    [final] ).

cnf(c_0_6422,plain,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    c_0_5094,
    [final] ).

cnf(c_0_6423,plain,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_5095,
    [final] ).

cnf(c_0_6424,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
    c_0_5096,
    [final] ).

cnf(c_0_6425,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_5097,
    [final] ).

cnf(c_0_6426,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_5098,
    [final] ).

cnf(c_0_6427,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    c_0_5099,
    [final] ).

cnf(c_0_6428,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    c_0_5100,
    [final] ).

cnf(c_0_6429,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    c_0_5101,
    [final] ).

cnf(c_0_6430,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    c_0_5102,
    [final] ).

cnf(c_0_6431,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal),
    c_0_5103,
    [final] ).

cnf(c_0_6432,plain,
    ( X1 = X2
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_5104,
    [final] ).

cnf(c_0_6433,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_5105,
    [final] ).

cnf(c_0_6434,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_5106,
    [final] ).

cnf(c_0_6435,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_5107,
    [final] ).

cnf(c_0_6436,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    c_0_5108,
    [final] ).

cnf(c_0_6437,plain,
    ( X1 = c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_5109,
    [final] ).

cnf(c_0_6438,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_5110,
    [final] ).

cnf(c_0_6439,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5111,
    [final] ).

cnf(c_0_6440,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_5112,
    [final] ).

cnf(c_0_6441,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5113,
    [final] ).

cnf(c_0_6442,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5114,
    [final] ).

cnf(c_0_6443,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5115,
    [final] ).

cnf(c_0_6444,plain,
    c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X1,tc_RealDef_Oreal),
    c_0_5116,
    [final] ).

cnf(c_0_6445,plain,
    c_Log_Olog(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1) = c_Transcendental_Oln(X1),
    c_0_5117,
    [final] ).

cnf(c_0_6446,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    c_0_5118,
    [final] ).

cnf(c_0_6447,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    c_0_5119,
    [final] ).

cnf(c_0_6448,plain,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    c_0_5120,
    [final] ).

cnf(c_0_6449,plain,
    c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    c_0_5121,
    [final] ).

cnf(c_0_6450,plain,
    c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    c_0_5122,
    [final] ).

cnf(c_0_6451,plain,
    c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X1),tc_RealDef_Oreal),
    c_0_5123,
    [final] ).

cnf(c_0_6452,plain,
    c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X1),tc_RealDef_Oreal),
    c_0_5124,
    [final] ).

cnf(c_0_6453,plain,
    ( c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    c_0_5125,
    [final] ).

cnf(c_0_6454,plain,
    ( X1 = X2
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
    c_0_5126,
    [final] ).

cnf(c_0_6455,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_5127,
    [final] ).

cnf(c_0_6456,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_5128,
    [final] ).

cnf(c_0_6457,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_5129,
    [final] ).

cnf(c_0_6458,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_5130,
    [final] ).

cnf(c_0_6459,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_5131,
    [final] ).

cnf(c_0_6460,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_5132,
    [final] ).

cnf(c_0_6461,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_5133,
    [final] ).

cnf(c_0_6462,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_5134,
    [final] ).

cnf(c_0_6463,plain,
    ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__field(X1)
    | ~ class_SEQ_Obanach(X1) ),
    c_0_5135,
    [final] ).

cnf(c_0_6464,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_5136,
    [final] ).

cnf(c_0_6465,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    c_0_5137,
    [final] ).

cnf(c_0_6466,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_5138,
    [final] ).

cnf(c_0_6467,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_5139,
    [final] ).

cnf(c_0_6468,plain,
    ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_5140,
    [final] ).

cnf(c_0_6469,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    c_0_5141,
    [final] ).

cnf(c_0_6470,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_5142,
    [final] ).

cnf(c_0_6471,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    c_0_5143,
    [final] ).

cnf(c_0_6472,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_5144,
    [final] ).

cnf(c_0_6473,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_5145,
    [final] ).

cnf(c_0_6474,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_5146,
    [final] ).

cnf(c_0_6475,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_5147,
    [final] ).

cnf(c_0_6476,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_5148,
    [final] ).

cnf(c_0_6477,plain,
    ( 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) ),
    c_0_5149,
    [final] ).

cnf(c_0_6478,plain,
    ( 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) ),
    c_0_5150,
    [final] ).

cnf(c_0_6479,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_5151,
    [final] ).

cnf(c_0_6480,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_5152,
    [final] ).

cnf(c_0_6481,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_5153,
    [final] ).

cnf(c_0_6482,plain,
    c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
    c_0_5154,
    [final] ).

cnf(c_0_6483,plain,
    c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)) = c_Complex_Ocis(X1),
    c_0_5155,
    [final] ).

cnf(c_0_6484,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
    c_0_5156,
    [final] ).

cnf(c_0_6485,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
    c_0_5157,
    [final] ).

cnf(c_0_6486,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    c_0_5158,
    [final] ).

cnf(c_0_6487,plain,
    ( 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) ),
    c_0_5159,
    [final] ).

cnf(c_0_6488,plain,
    ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_5160,
    [final] ).

cnf(c_0_6489,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_5161,
    [final] ).

cnf(c_0_6490,plain,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    c_0_5162,
    [final] ).

cnf(c_0_6491,plain,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    c_0_5163,
    [final] ).

cnf(c_0_6492,plain,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    c_0_5164,
    [final] ).

cnf(c_0_6493,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_5165,
    [final] ).

cnf(c_0_6494,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Complex_Oii ),
    c_0_5166,
    [final] ).

cnf(c_0_6495,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Complex_Oii ),
    c_0_5167,
    [final] ).

cnf(c_0_6496,plain,
    c_Log_Opowr(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5168,
    [final] ).

cnf(c_0_6497,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_5169,
    [final] ).

cnf(c_0_6498,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_5170,
    [final] ).

cnf(c_0_6499,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    c_0_5171,
    [final] ).

cnf(c_0_6500,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    c_0_5172,
    [final] ).

cnf(c_0_6501,plain,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    c_0_5173,
    [final] ).

cnf(c_0_6502,plain,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    c_0_5174,
    [final] ).

cnf(c_0_6503,plain,
    c_Transcendental_Ocos(c_Transcendental_Oarctan(X1)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5175,
    [final] ).

cnf(c_0_6504,plain,
    c_Log_Olog(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5176,
    [final] ).

cnf(c_0_6505,plain,
    c_Log_Opowr(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_5177,
    [final] ).

cnf(c_0_6506,plain,
    c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_5178,
    [final] ).

cnf(c_0_6507,plain,
    c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_5179,
    [final] ).

cnf(c_0_6508,plain,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5180,
    [final] ).

cnf(c_0_6509,plain,
    c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5181,
    [final] ).

cnf(c_0_6510,plain,
    ( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_5182,
    [final] ).

cnf(c_0_6511,plain,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    c_0_5183,
    [final] ).

cnf(c_0_6512,plain,
    c_Fun_Oid(X1,X2) = X1,
    c_0_5184,
    [final] ).

cnf(c_0_6513,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_5185,
    [final] ).

cnf(c_0_6514,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_5186,
    [final] ).

cnf(c_0_6515,plain,
    c_Fun_Oid(v_x,t_a) = v_x,
    c_0_5187,
    [final] ).

cnf(c_0_6516,plain,
    c_Transcendental_Otan(c_Transcendental_Oarctan(X1)) = X1,
    c_0_5188,
    [final] ).

cnf(c_0_6517,plain,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5189,
    [final] ).

cnf(c_0_6518,plain,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_5190,
    [final] ).

cnf(c_0_6519,plain,
    c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5191,
    [final] ).

cnf(c_0_6520,plain,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_5192,
    [final] ).

cnf(c_0_6521,plain,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5193,
    [final] ).

cnf(c_0_6522,plain,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5194,
    [final] ).

cnf(c_0_6523,plain,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5195,
    [final] ).

cnf(c_0_6524,plain,
    c_Complex_Ocis(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    c_0_5196,
    [final] ).

cnf(c_0_6525,plain,
    ( v_x != c_Transcendental_Opi
    | c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_5197,
    [final] ).

cnf(c_0_6526,plain,
    c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5198,
    [final] ).

cnf(c_0_6527,plain,
    c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5199,
    [final] ).

cnf(c_0_6528,plain,
    c_Transcendental_Ocos(c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5200,
    [final] ).

cnf(c_0_6529,plain,
    c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_5201,
    [final] ).

cnf(c_0_6530,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Opi,
    c_0_5202,
    [final] ).

cnf(c_0_6531,plain,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii,
    c_0_5203,
    [final] ).

cnf(c_0_6532,plain,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    c_0_5204,
    [final] ).

cnf(c_0_6533,plain,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    c_0_5205,
    [final] ).

cnf(c_0_6534,plain,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    c_0_5206,
    [final] ).

cnf(c_0_6535,plain,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    c_0_5207,
    [final] ).

cnf(c_0_6536,plain,
    class_RealVector_Odist__norm(tc_Complex_Ocomplex),
    c_0_5208,
    [final] ).

cnf(c_0_6537,plain,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    c_0_5209,
    [final] ).

cnf(c_0_6538,plain,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    c_0_5210,
    [final] ).

cnf(c_0_6539,plain,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    c_0_5211,
    [final] ).

cnf(c_0_6540,plain,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    c_0_5212,
    [final] ).

cnf(c_0_6541,plain,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    c_0_5213,
    [final] ).

cnf(c_0_6542,plain,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    c_0_5214,
    [final] ).

cnf(c_0_6543,plain,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    c_0_5215,
    [final] ).

cnf(c_0_6544,plain,
    class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex),
    c_0_5216,
    [final] ).

cnf(c_0_6545,plain,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    c_0_5217,
    [final] ).

cnf(c_0_6546,plain,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    c_0_5218,
    [final] ).

cnf(c_0_6547,plain,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    c_0_5219,
    [final] ).

cnf(c_0_6548,plain,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    c_0_5220,
    [final] ).

cnf(c_0_6549,plain,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    c_0_5221,
    [final] ).

cnf(c_0_6550,plain,
    class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex),
    c_0_5222,
    [final] ).

cnf(c_0_6551,plain,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    c_0_5223,
    [final] ).

cnf(c_0_6552,plain,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    c_0_5224,
    [final] ).

cnf(c_0_6553,plain,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    c_0_5225,
    [final] ).

cnf(c_0_6554,plain,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    c_0_5226,
    [final] ).

cnf(c_0_6555,plain,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    c_0_5227,
    [final] ).

cnf(c_0_6556,plain,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    c_0_5228,
    [final] ).

cnf(c_0_6557,plain,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    c_0_5229,
    [final] ).

cnf(c_0_6558,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    c_0_5230,
    [final] ).

cnf(c_0_6559,plain,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    c_0_5231,
    [final] ).

cnf(c_0_6560,plain,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    c_0_5232,
    [final] ).

cnf(c_0_6561,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    c_0_5233,
    [final] ).

cnf(c_0_6562,plain,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    c_0_5234,
    [final] ).

cnf(c_0_6563,plain,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    c_0_5235,
    [final] ).

cnf(c_0_6564,plain,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    c_0_5236,
    [final] ).

cnf(c_0_6565,plain,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    c_0_5237,
    [final] ).

cnf(c_0_6566,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    c_0_5238,
    [final] ).

cnf(c_0_6567,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    c_0_5239,
    [final] ).

cnf(c_0_6568,plain,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    c_0_5240,
    [final] ).

cnf(c_0_6569,plain,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    c_0_5241,
    [final] ).

cnf(c_0_6570,plain,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    c_0_5242,
    [final] ).

cnf(c_0_6571,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    c_0_5243,
    [final] ).

cnf(c_0_6572,plain,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    c_0_5244,
    [final] ).

cnf(c_0_6573,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    c_0_5245,
    [final] ).

cnf(c_0_6574,plain,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    c_0_5246,
    [final] ).

cnf(c_0_6575,plain,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    c_0_5247,
    [final] ).

cnf(c_0_6576,plain,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    c_0_5248,
    [final] ).

cnf(c_0_6577,plain,
    class_RealVector_Odist__norm(tc_RealDef_Oreal),
    c_0_5249,
    [final] ).

cnf(c_0_6578,plain,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    c_0_5250,
    [final] ).

cnf(c_0_6579,plain,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    c_0_5251,
    [final] ).

cnf(c_0_6580,plain,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    c_0_5252,
    [final] ).

cnf(c_0_6581,plain,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    c_0_5253,
    [final] ).

cnf(c_0_6582,plain,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    c_0_5254,
    [final] ).

cnf(c_0_6583,plain,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    c_0_5255,
    [final] ).

cnf(c_0_6584,plain,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    c_0_5256,
    [final] ).

cnf(c_0_6585,plain,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    c_0_5257,
    [final] ).

cnf(c_0_6586,plain,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    c_0_5258,
    [final] ).

cnf(c_0_6587,plain,
    class_RealVector_Osgn__div__norm(tc_RealDef_Oreal),
    c_0_5259,
    [final] ).

cnf(c_0_6588,plain,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    c_0_5260,
    [final] ).

cnf(c_0_6589,plain,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    c_0_5261,
    [final] ).

cnf(c_0_6590,plain,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    c_0_5262,
    [final] ).

cnf(c_0_6591,plain,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    c_0_5263,
    [final] ).

cnf(c_0_6592,plain,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    c_0_5264,
    [final] ).

cnf(c_0_6593,plain,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    c_0_5265,
    [final] ).

cnf(c_0_6594,plain,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    c_0_5266,
    [final] ).

cnf(c_0_6595,plain,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    c_0_5267,
    [final] ).

cnf(c_0_6596,plain,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    c_0_5268,
    [final] ).

cnf(c_0_6597,plain,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    c_0_5269,
    [final] ).

cnf(c_0_6598,plain,
    class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal),
    c_0_5270,
    [final] ).

cnf(c_0_6599,plain,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    c_0_5271,
    [final] ).

cnf(c_0_6600,plain,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    c_0_5272,
    [final] ).

cnf(c_0_6601,plain,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    c_0_5273,
    [final] ).

cnf(c_0_6602,plain,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    c_0_5274,
    [final] ).

cnf(c_0_6603,plain,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    c_0_5275,
    [final] ).

cnf(c_0_6604,plain,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    c_0_5276,
    [final] ).

cnf(c_0_6605,plain,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    c_0_5277,
    [final] ).

cnf(c_0_6606,plain,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    c_0_5278,
    [final] ).

cnf(c_0_6607,plain,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    c_0_5279,
    [final] ).

cnf(c_0_6608,plain,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    c_0_5280,
    [final] ).

cnf(c_0_6609,plain,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    c_0_5281,
    [final] ).

cnf(c_0_6610,plain,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    c_0_5282,
    [final] ).

cnf(c_0_6611,plain,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    c_0_5283,
    [final] ).

cnf(c_0_6612,plain,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    c_0_5284,
    [final] ).

cnf(c_0_6613,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    c_0_5285,
    [final] ).

cnf(c_0_6614,plain,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    c_0_5286,
    [final] ).

cnf(c_0_6615,plain,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    c_0_5287,
    [final] ).

cnf(c_0_6616,plain,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    c_0_5288,
    [final] ).

cnf(c_0_6617,plain,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    c_0_5289,
    [final] ).

cnf(c_0_6618,plain,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    c_0_5290,
    [final] ).

cnf(c_0_6619,plain,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    c_0_5291,
    [final] ).

cnf(c_0_6620,plain,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    c_0_5292,
    [final] ).

cnf(c_0_6621,plain,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    c_0_5293,
    [final] ).

cnf(c_0_6622,plain,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    c_0_5294,
    [final] ).

cnf(c_0_6623,plain,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    c_0_5295,
    [final] ).

cnf(c_0_6624,plain,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    c_0_5296,
    [final] ).

cnf(c_0_6625,plain,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    c_0_5297,
    [final] ).

cnf(c_0_6626,plain,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    c_0_5298,
    [final] ).

cnf(c_0_6627,plain,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_5299,
    [final] ).

cnf(c_0_6628,plain,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    c_0_5300,
    [final] ).

cnf(c_0_6629,plain,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    c_0_5301,
    [final] ).

cnf(c_0_6630,plain,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    c_0_5302,
    [final] ).

cnf(c_0_6631,plain,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    c_0_5303,
    [final] ).

cnf(c_0_6632,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_5304,
    [final] ).

cnf(c_0_6633,plain,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    c_0_5305,
    [final] ).

cnf(c_0_6634,plain,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    c_0_5306,
    [final] ).

cnf(c_0_6635,plain,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    c_0_5307,
    [final] ).

cnf(c_0_6636,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    c_0_5308,
    [final] ).

cnf(c_0_6637,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    c_0_5309,
    [final] ).

cnf(c_0_6638,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    c_0_5310,
    [final] ).

cnf(c_0_6639,plain,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    c_0_5311,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_5312_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5312]) ).

cnf(c_0_5312_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5312]) ).

cnf(c_0_5312_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5312]) ).

cnf(c_0_5312_3,axiom,
    ( ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5312]) ).

cnf(c_0_5312_4,axiom,
    ( ~ c_lessequals(X6,X7,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5312]) ).

cnf(c_0_5312_5,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(X2,X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5312]) ).

cnf(c_0_5313_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5313]) ).

cnf(c_0_5313_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5313]) ).

cnf(c_0_5313_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5313]) ).

cnf(c_0_5313_3,axiom,
    ( ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5313]) ).

cnf(c_0_5313_4,axiom,
    ( ~ c_lessequals(X6,X7,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5313]) ).

cnf(c_0_5313_5,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X3)
    | ~ c_lessequals(X6,X7,X3)
    | ~ c_lessequals(X5,X6,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X6,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5313]) ).

cnf(c_0_5316_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5316]) ).

cnf(c_0_5316_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5316]) ).

cnf(c_0_5317_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X5,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5317]) ).

cnf(c_0_5317_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X5,X3),X3),c_RealVector_OscaleR__class_OscaleR(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5317]) ).

cnf(c_0_5318_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5318]) ).

cnf(c_0_5318_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5318]) ).

cnf(c_0_5319_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5319]) ).

cnf(c_0_5319_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5319]) ).

cnf(c_0_5320_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5320]) ).

cnf(c_0_5320_1,axiom,
    ( ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5320]) ).

cnf(c_0_5321_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5321]) ).

cnf(c_0_5321_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5321]) ).

cnf(c_0_5321_2,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5321]) ).

cnf(c_0_5321_3,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5321]) ).

cnf(c_0_5322_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5322]) ).

cnf(c_0_5322_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5322]) ).

cnf(c_0_5322_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5322]) ).

cnf(c_0_5323_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5323]) ).

cnf(c_0_5323_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5323]) ).

cnf(c_0_5323_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5323]) ).

cnf(c_0_5324_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5324]) ).

cnf(c_0_5324_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5324]) ).

cnf(c_0_5324_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5324]) ).

cnf(c_0_5325_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5325]) ).

cnf(c_0_5325_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5325]) ).

cnf(c_0_5325_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5325]) ).

cnf(c_0_5326_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5326]) ).

cnf(c_0_5326_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5326]) ).

cnf(c_0_5326_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5326]) ).

cnf(c_0_5327_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5327]) ).

cnf(c_0_5327_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5327]) ).

cnf(c_0_5327_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5327]) ).

cnf(c_0_5328_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5328]) ).

cnf(c_0_5328_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5328]) ).

cnf(c_0_5328_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5328]) ).

cnf(c_0_5329_0,axiom,
    ( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5329]) ).

cnf(c_0_5329_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5329]) ).

cnf(c_0_5329_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5329]) ).

cnf(c_0_5330_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5330]) ).

cnf(c_0_5330_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_5330]) ).

cnf(c_0_5331_0,axiom,
    ( c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5331]) ).

cnf(c_0_5331_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5331]) ).

cnf(c_0_5331_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5331]) ).

cnf(c_0_5334_0,axiom,
    ( ~ 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)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5334]) ).

cnf(c_0_5334_1,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5334]) ).

cnf(c_0_5335_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5335]) ).

cnf(c_0_5335_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5335]) ).

cnf(c_0_5336_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5336]) ).

cnf(c_0_5336_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5336]) ).

cnf(c_0_5337_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5337]) ).

cnf(c_0_5337_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5337]) ).

cnf(c_0_5338_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5338]) ).

cnf(c_0_5338_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5338]) ).

cnf(c_0_5339_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5339]) ).

cnf(c_0_5339_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5339]) ).

cnf(c_0_5339_2,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5339]) ).

cnf(c_0_5339_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5339]) ).

cnf(c_0_5340_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5340]) ).

cnf(c_0_5340_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5340]) ).

cnf(c_0_5340_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5340]) ).

cnf(c_0_5340_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5340]) ).

cnf(c_0_5341_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5341]) ).

cnf(c_0_5341_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5341]) ).

cnf(c_0_5341_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5341]) ).

cnf(c_0_5341_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5341]) ).

cnf(c_0_5342_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5342]) ).

cnf(c_0_5342_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5342]) ).

cnf(c_0_5342_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5342]) ).

cnf(c_0_5343_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5343]) ).

cnf(c_0_5343_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5343]) ).

cnf(c_0_5343_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5343]) ).

cnf(c_0_5344_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5344]) ).

cnf(c_0_5344_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5344]) ).

cnf(c_0_5345_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5345]) ).

cnf(c_0_5345_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),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_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5345]) ).

cnf(c_0_5345_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5345]) ).

cnf(c_0_5345_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5345]) ).

cnf(c_0_5346_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5346]) ).

cnf(c_0_5346_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X4,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_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5346]) ).

cnf(c_0_5346_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5346]) ).

cnf(c_0_5346_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X4,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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5346]) ).

cnf(c_0_5347_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5347]) ).

cnf(c_0_5347_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5347]) ).

cnf(c_0_5348_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5348]) ).

cnf(c_0_5348_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5348]) ).

cnf(c_0_5349_0,axiom,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5349]) ).

cnf(c_0_5349_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5349]) ).

cnf(c_0_5349_2,axiom,
    ( ~ class_Ring__and__Field_Oring(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5349]) ).

cnf(c_0_5350_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5350]) ).

cnf(c_0_5350_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5350]) ).

cnf(c_0_5350_2,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_5350]) ).

cnf(c_0_5351_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Osemiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5351]) ).

cnf(c_0_5351_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5351]) ).

cnf(c_0_5352_0,axiom,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5352]) ).

cnf(c_0_5352_1,axiom,
    ( X3 = X4
    | X1 = X2
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5352]) ).

cnf(c_0_5352_2,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5352]) ).

cnf(c_0_5352_3,axiom,
    ( ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5352]) ).

cnf(c_0_5352_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X5)
    | ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5352]) ).

cnf(c_0_5353_0,axiom,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5353]) ).

cnf(c_0_5353_1,axiom,
    ( X3 = X4
    | X1 = X2
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5353]) ).

cnf(c_0_5353_2,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5353]) ).

cnf(c_0_5353_3,axiom,
    ( ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_5353]) ).

cnf(c_0_5353_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X5)
    | ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5353]) ).

cnf(c_0_5354_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5354]) ).

cnf(c_0_5354_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5354]) ).

cnf(c_0_5355_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5355]) ).

cnf(c_0_5355_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5355]) ).

cnf(c_0_5355_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5355]) ).

cnf(c_0_5355_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5355]) ).

cnf(c_0_5356_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5356]) ).

cnf(c_0_5356_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5356]) ).

cnf(c_0_5356_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5356]) ).

cnf(c_0_5356_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5356]) ).

cnf(c_0_5356_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5356]) ).

cnf(c_0_5356_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5356]) ).

cnf(c_0_5357_0,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5357]) ).

cnf(c_0_5357_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5357]) ).

cnf(c_0_5357_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5357]) ).

cnf(c_0_5357_3,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5357]) ).

cnf(c_0_5357_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5357]) ).

cnf(c_0_5357_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5357]) ).

cnf(c_0_5358_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5358]) ).

cnf(c_0_5358_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5358]) ).

cnf(c_0_5358_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5358]) ).

cnf(c_0_5358_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5358]) ).

cnf(c_0_5358_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5358]) ).

cnf(c_0_5358_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5358]) ).

cnf(c_0_5359_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5359]) ).

cnf(c_0_5359_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5359]) ).

cnf(c_0_5359_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5359]) ).

cnf(c_0_5359_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5359]) ).

cnf(c_0_5359_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5359]) ).

cnf(c_0_5359_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5359]) ).

cnf(c_0_5360_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5360]) ).

cnf(c_0_5360_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5360]) ).

cnf(c_0_5360_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5360]) ).

cnf(c_0_5360_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5360]) ).

cnf(c_0_5360_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5360]) ).

cnf(c_0_5360_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5360]) ).

cnf(c_0_5361_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5361]) ).

cnf(c_0_5361_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5361]) ).

cnf(c_0_5361_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5361]) ).

cnf(c_0_5361_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5361]) ).

cnf(c_0_5361_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5361]) ).

cnf(c_0_5361_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5361]) ).

cnf(c_0_5362_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5362]) ).

cnf(c_0_5362_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5362]) ).

cnf(c_0_5362_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5362]) ).

cnf(c_0_5362_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5362]) ).

cnf(c_0_5362_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5362]) ).

cnf(c_0_5362_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5362]) ).

cnf(c_0_5363_0,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5363]) ).

cnf(c_0_5363_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5363]) ).

cnf(c_0_5363_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5363]) ).

cnf(c_0_5363_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5363]) ).

cnf(c_0_5363_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5363]) ).

cnf(c_0_5363_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5363]) ).

cnf(c_0_5364_0,axiom,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_5364]) ).

cnf(c_0_5364_1,axiom,
    ( c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_5364]) ).

cnf(c_0_5364_2,axiom,
    ( c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_5364]) ).

cnf(c_0_5364_3,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal))
    | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5364]) ).

cnf(c_0_5365_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5365]) ).

cnf(c_0_5365_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5365]) ).

cnf(c_0_5366_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5366]) ).

cnf(c_0_5366_1,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5366]) ).

cnf(c_0_5367_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5367]) ).

cnf(c_0_5367_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5367]) ).

cnf(c_0_5368_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5368]) ).

cnf(c_0_5368_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5368]) ).

cnf(c_0_5369_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5369]) ).

cnf(c_0_5369_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5369]) ).

cnf(c_0_5370_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5370]) ).

cnf(c_0_5370_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5370]) ).

cnf(c_0_5370_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5370]) ).

cnf(c_0_5371_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5371]) ).

cnf(c_0_5371_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5371]) ).

cnf(c_0_5371_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5371]) ).

cnf(c_0_5372_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5372]) ).

cnf(c_0_5372_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5372]) ).

cnf(c_0_5372_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5372]) ).

cnf(c_0_5372_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5372]) ).

cnf(c_0_5372_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5372]) ).

cnf(c_0_5372_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5372]) ).

cnf(c_0_5373_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5373]) ).

cnf(c_0_5373_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5373]) ).

cnf(c_0_5373_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5373]) ).

cnf(c_0_5373_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5373]) ).

cnf(c_0_5373_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5373]) ).

cnf(c_0_5374_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5374]) ).

cnf(c_0_5374_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5374]) ).

cnf(c_0_5374_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5374]) ).

cnf(c_0_5374_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5374]) ).

cnf(c_0_5374_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5374]) ).

cnf(c_0_5375_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5375]) ).

cnf(c_0_5375_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5375]) ).

cnf(c_0_5375_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5375]) ).

cnf(c_0_5375_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5375]) ).

cnf(c_0_5375_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5375]) ).

cnf(c_0_5376_0,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5376]) ).

cnf(c_0_5376_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5376]) ).

cnf(c_0_5377_0,axiom,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X4,X1,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5377]) ).

cnf(c_0_5377_1,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X4,X1,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5377]) ).

cnf(c_0_5378_0,axiom,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X2,X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5378]) ).

cnf(c_0_5378_1,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X2,X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5378]) ).

cnf(c_0_5379_0,axiom,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5379]) ).

cnf(c_0_5379_1,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5379]) ).

cnf(c_0_5380_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5380]) ).

cnf(c_0_5380_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5380]) ).

cnf(c_0_5380_2,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5380]) ).

cnf(c_0_5380_3,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5380]) ).

cnf(c_0_5381_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5381]) ).

cnf(c_0_5381_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5381]) ).

cnf(c_0_5381_2,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5381]) ).

cnf(c_0_5381_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5381]) ).

cnf(c_0_5382_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5382]) ).

cnf(c_0_5382_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5382]) ).

cnf(c_0_5382_2,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5382]) ).

cnf(c_0_5382_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5382]) ).

cnf(c_0_5383_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5383]) ).

cnf(c_0_5383_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5383]) ).

cnf(c_0_5383_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5383]) ).

cnf(c_0_5383_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5383]) ).

cnf(c_0_5384_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5384]) ).

cnf(c_0_5384_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5384]) ).

cnf(c_0_5384_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5384]) ).

cnf(c_0_5384_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5384]) ).

cnf(c_0_5385_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5385]) ).

cnf(c_0_5385_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5385]) ).

cnf(c_0_5386_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5386]) ).

cnf(c_0_5386_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5386]) ).

cnf(c_0_5387_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5387]) ).

cnf(c_0_5387_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5387]) ).

cnf(c_0_5387_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5387]) ).

cnf(c_0_5387_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5387]) ).

cnf(c_0_5387_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5387]) ).

cnf(c_0_5387_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5387]) ).

cnf(c_0_5388_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5388]) ).

cnf(c_0_5388_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5388]) ).

cnf(c_0_5388_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5388]) ).

cnf(c_0_5388_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5388]) ).

cnf(c_0_5388_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5388]) ).

cnf(c_0_5388_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5388]) ).

cnf(c_0_5389_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5389]) ).

cnf(c_0_5389_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5389]) ).

cnf(c_0_5389_2,axiom,
    ( ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5389]) ).

cnf(c_0_5389_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5389]) ).

cnf(c_0_5389_4,axiom,
    ( ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5389]) ).

cnf(c_0_5389_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5389]) ).

cnf(c_0_5390_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5390]) ).

cnf(c_0_5390_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5390]) ).

cnf(c_0_5390_2,axiom,
    ( ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5390]) ).

cnf(c_0_5390_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5390]) ).

cnf(c_0_5390_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5390]) ).

cnf(c_0_5390_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5390]) ).

cnf(c_0_5391_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5391]) ).

cnf(c_0_5391_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5391]) ).

cnf(c_0_5391_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5391]) ).

cnf(c_0_5391_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5391]) ).

cnf(c_0_5391_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5391]) ).

cnf(c_0_5391_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5391]) ).

cnf(c_0_5392_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5392]) ).

cnf(c_0_5392_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5392]) ).

cnf(c_0_5392_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5392]) ).

cnf(c_0_5392_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5392]) ).

cnf(c_0_5392_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5392]) ).

cnf(c_0_5392_5,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5392]) ).

cnf(c_0_5393_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5393]) ).

cnf(c_0_5393_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5393]) ).

cnf(c_0_5393_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5393]) ).

cnf(c_0_5393_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5393]) ).

cnf(c_0_5393_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5393]) ).

cnf(c_0_5393_5,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5393]) ).

cnf(c_0_5394_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5394]) ).

cnf(c_0_5394_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5394]) ).

cnf(c_0_5394_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5394]) ).

cnf(c_0_5394_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5394]) ).

cnf(c_0_5394_4,axiom,
    ( ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5394]) ).

cnf(c_0_5394_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5394]) ).

cnf(c_0_5395_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5395]) ).

cnf(c_0_5395_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5395]) ).

cnf(c_0_5395_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5395]) ).

cnf(c_0_5395_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5395]) ).

cnf(c_0_5395_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5395]) ).

cnf(c_0_5395_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5395]) ).

cnf(c_0_5396_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5396]) ).

cnf(c_0_5396_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5396]) ).

cnf(c_0_5396_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5396]) ).

cnf(c_0_5396_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5396]) ).

cnf(c_0_5397_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5397]) ).

cnf(c_0_5397_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5397]) ).

cnf(c_0_5397_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5397]) ).

cnf(c_0_5398_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5398]) ).

cnf(c_0_5398_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5398]) ).

cnf(c_0_5398_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5398]) ).

cnf(c_0_5399_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5399]) ).

cnf(c_0_5399_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5399]) ).

cnf(c_0_5399_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5399]) ).

cnf(c_0_5400_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5400]) ).

cnf(c_0_5400_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5400]) ).

cnf(c_0_5400_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5400]) ).

cnf(c_0_5401_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) ),
    inference(literals_permutation,[status(thm)],[c_0_5401]) ).

cnf(c_0_5401_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5401]) ).

cnf(c_0_5402_0,axiom,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5402]) ).

cnf(c_0_5402_1,axiom,
    ( c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5402]) ).

cnf(c_0_5402_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5402]) ).

cnf(c_0_5403_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5403]) ).

cnf(c_0_5403_1,axiom,
    ( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5403]) ).

cnf(c_0_5403_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5403]) ).

cnf(c_0_5403_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5403]) ).

cnf(c_0_5403_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5403]) ).

cnf(c_0_5403_5,axiom,
    ( ~ 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_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5403]) ).

cnf(c_0_5404_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5404]) ).

cnf(c_0_5404_1,axiom,
    ( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5404]) ).

cnf(c_0_5404_2,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5404]) ).

cnf(c_0_5404_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5404]) ).

cnf(c_0_5404_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5404]) ).

cnf(c_0_5404_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5404]) ).

cnf(c_0_5405_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5405]) ).

cnf(c_0_5405_1,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5405]) ).

cnf(c_0_5405_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5405]) ).

cnf(c_0_5405_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5405]) ).

cnf(c_0_5405_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5405]) ).

cnf(c_0_5405_5,axiom,
    ( ~ 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_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5405]) ).

cnf(c_0_5406_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5406]) ).

cnf(c_0_5406_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5406]) ).

cnf(c_0_5406_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5406]) ).

cnf(c_0_5406_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5406]) ).

cnf(c_0_5406_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5406]) ).

cnf(c_0_5406_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5406]) ).

cnf(c_0_5407_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5407]) ).

cnf(c_0_5407_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5407]) ).

cnf(c_0_5407_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5407]) ).

cnf(c_0_5407_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5407]) ).

cnf(c_0_5407_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5407]) ).

cnf(c_0_5407_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5407]) ).

cnf(c_0_5408_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5408]) ).

cnf(c_0_5408_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5408]) ).

cnf(c_0_5408_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5408]) ).

cnf(c_0_5408_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5408]) ).

cnf(c_0_5408_4,axiom,
    ( ~ 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(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5408]) ).

cnf(c_0_5408_5,axiom,
    ( ~ 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(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5408]) ).

cnf(c_0_5409_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5409]) ).

cnf(c_0_5409_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5409]) ).

cnf(c_0_5409_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5409]) ).

cnf(c_0_5409_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5409]) ).

cnf(c_0_5409_4,axiom,
    ( ~ 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(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5409]) ).

cnf(c_0_5409_5,axiom,
    ( ~ 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(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5409]) ).

cnf(c_0_5410_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5410]) ).

cnf(c_0_5410_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5410]) ).

cnf(c_0_5410_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5410]) ).

cnf(c_0_5410_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5410]) ).

cnf(c_0_5410_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5410]) ).

cnf(c_0_5410_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5410]) ).

cnf(c_0_5411_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5411]) ).

cnf(c_0_5411_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5411]) ).

cnf(c_0_5411_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5411]) ).

cnf(c_0_5411_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5411]) ).

cnf(c_0_5411_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5411]) ).

cnf(c_0_5411_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5411]) ).

cnf(c_0_5412_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5412]) ).

cnf(c_0_5412_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5412]) ).

cnf(c_0_5412_2,axiom,
    ( ~ 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)
    | 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5412]) ).

cnf(c_0_5412_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5412]) ).

cnf(c_0_5412_4,axiom,
    ( ~ 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_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5412]) ).

cnf(c_0_5412_5,axiom,
    ( ~ 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_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5412]) ).

cnf(c_0_5413_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5413]) ).

cnf(c_0_5413_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5413]) ).

cnf(c_0_5413_2,axiom,
    ( ~ 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)
    | 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5413]) ).

cnf(c_0_5413_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5413]) ).

cnf(c_0_5413_4,axiom,
    ( ~ 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(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5413]) ).

cnf(c_0_5413_5,axiom,
    ( ~ 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(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5413]) ).

cnf(c_0_5414_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5414]) ).

cnf(c_0_5414_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5414]) ).

cnf(c_0_5414_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5414]) ).

cnf(c_0_5414_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5414]) ).

cnf(c_0_5414_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5414]) ).

cnf(c_0_5414_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5414]) ).

cnf(c_0_5415_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5415]) ).

cnf(c_0_5415_1,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5415]) ).

cnf(c_0_5415_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5415]) ).

cnf(c_0_5415_3,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5415]) ).

cnf(c_0_5415_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5415]) ).

cnf(c_0_5415_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5415]) ).

cnf(c_0_5416_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5416]) ).

cnf(c_0_5416_1,axiom,
    ( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5416]) ).

cnf(c_0_5416_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5416]) ).

cnf(c_0_5416_3,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5416]) ).

cnf(c_0_5416_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5416]) ).

cnf(c_0_5416_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5416]) ).

cnf(c_0_5417_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5417]) ).

cnf(c_0_5417_1,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5417]) ).

cnf(c_0_5417_2,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5417]) ).

cnf(c_0_5417_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5417]) ).

cnf(c_0_5417_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5417]) ).

cnf(c_0_5417_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5417]) ).

cnf(c_0_5418_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5418]) ).

cnf(c_0_5418_1,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5418]) ).

cnf(c_0_5418_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5418]) ).

cnf(c_0_5418_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5418]) ).

cnf(c_0_5418_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5418]) ).

cnf(c_0_5418_5,axiom,
    ( ~ 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_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5418]) ).

cnf(c_0_5419_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(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) ),
    inference(literals_permutation,[status(thm)],[c_0_5419]) ).

cnf(c_0_5419_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(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) ),
    inference(literals_permutation,[status(thm)],[c_0_5419]) ).

cnf(c_0_5419_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5419]) ).

cnf(c_0_5419_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5419]) ).

cnf(c_0_5420_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5420]) ).

cnf(c_0_5420_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5420]) ).

cnf(c_0_5420_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5420]) ).

cnf(c_0_5420_3,axiom,
    ( ~ 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5420]) ).

cnf(c_0_5421_0,axiom,
    ( c_lessequals(X4,X3,X2)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5421]) ).

cnf(c_0_5421_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X4,X3,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5421]) ).

cnf(c_0_5421_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5421]) ).

cnf(c_0_5421_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X4,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5421]) ).

cnf(c_0_5422_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5422]) ).

cnf(c_0_5422_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,X4,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5422]) ).

cnf(c_0_5422_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5422]) ).

cnf(c_0_5422_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5422]) ).

cnf(c_0_5423_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5423]) ).

cnf(c_0_5423_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5423]) ).

cnf(c_0_5423_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5423]) ).

cnf(c_0_5423_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5423]) ).

cnf(c_0_5424_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5424]) ).

cnf(c_0_5424_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5424]) ).

cnf(c_0_5424_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5424]) ).

cnf(c_0_5424_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5424]) ).

cnf(c_0_5425_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5425]) ).

cnf(c_0_5425_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5425]) ).

cnf(c_0_5425_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5425]) ).

cnf(c_0_5425_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5425]) ).

cnf(c_0_5426_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5426]) ).

cnf(c_0_5426_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5426]) ).

cnf(c_0_5426_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5426]) ).

cnf(c_0_5426_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5426]) ).

cnf(c_0_5427_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5427]) ).

cnf(c_0_5427_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5427]) ).

cnf(c_0_5427_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5427]) ).

cnf(c_0_5427_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5427]) ).

cnf(c_0_5428_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5428]) ).

cnf(c_0_5428_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5428]) ).

cnf(c_0_5428_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5428]) ).

cnf(c_0_5428_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5428]) ).

cnf(c_0_5429_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_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5429]) ).

cnf(c_0_5429_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5429]) ).

cnf(c_0_5430_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_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5430]) ).

cnf(c_0_5430_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5430]) ).

cnf(c_0_5431_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5431]) ).

cnf(c_0_5431_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5431]) ).

cnf(c_0_5431_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5431]) ).

cnf(c_0_5431_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5431]) ).

cnf(c_0_5432_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5432]) ).

cnf(c_0_5432_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5432]) ).

cnf(c_0_5432_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5432]) ).

cnf(c_0_5432_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5432]) ).

cnf(c_0_5433_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5433]) ).

cnf(c_0_5433_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5433]) ).

cnf(c_0_5433_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5433]) ).

cnf(c_0_5433_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5433]) ).

cnf(c_0_5435_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5435]) ).

cnf(c_0_5435_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5435]) ).

cnf(c_0_5435_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5435]) ).

cnf(c_0_5435_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5435]) ).

cnf(c_0_5436_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5436]) ).

cnf(c_0_5436_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5436]) ).

cnf(c_0_5436_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5436]) ).

cnf(c_0_5436_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5436]) ).

cnf(c_0_5437_0,axiom,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5437]) ).

cnf(c_0_5437_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5437]) ).

cnf(c_0_5437_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5437]) ).

cnf(c_0_5438_0,axiom,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5438]) ).

cnf(c_0_5438_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5438]) ).

cnf(c_0_5438_2,axiom,
    ( ~ 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5438]) ).

cnf(c_0_5439_0,axiom,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5439]) ).

cnf(c_0_5439_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5439]) ).

cnf(c_0_5439_2,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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5439]) ).

cnf(c_0_5440_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5440]) ).

cnf(c_0_5440_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5440]) ).

cnf(c_0_5440_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5440]) ).

cnf(c_0_5440_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5440]) ).

cnf(c_0_5441_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5441]) ).

cnf(c_0_5441_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5441]) ).

cnf(c_0_5441_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5441]) ).

cnf(c_0_5441_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5441]) ).

cnf(c_0_5442_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5442]) ).

cnf(c_0_5442_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5442]) ).

cnf(c_0_5442_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5442]) ).

cnf(c_0_5443_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5443]) ).

cnf(c_0_5443_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5443]) ).

cnf(c_0_5443_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5443]) ).

cnf(c_0_5444_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5444]) ).

cnf(c_0_5444_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5444]) ).

cnf(c_0_5444_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5444]) ).

cnf(c_0_5445_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5445]) ).

cnf(c_0_5445_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5445]) ).

cnf(c_0_5445_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5445]) ).

cnf(c_0_5446_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5446]) ).

cnf(c_0_5446_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5446]) ).

cnf(c_0_5446_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5446]) ).

cnf(c_0_5447_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5447]) ).

cnf(c_0_5447_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5447]) ).

cnf(c_0_5447_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5447]) ).

cnf(c_0_5447_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5447]) ).

cnf(c_0_5448_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5448]) ).

cnf(c_0_5448_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5448]) ).

cnf(c_0_5448_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5448]) ).

cnf(c_0_5448_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5448]) ).

cnf(c_0_5449_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5449]) ).

cnf(c_0_5449_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5449]) ).

cnf(c_0_5449_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5449]) ).

cnf(c_0_5449_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5449]) ).

cnf(c_0_5450_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5450]) ).

cnf(c_0_5450_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5450]) ).

cnf(c_0_5450_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5450]) ).

cnf(c_0_5450_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5450]) ).

cnf(c_0_5451_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5451]) ).

cnf(c_0_5451_1,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5451]) ).

cnf(c_0_5452_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5452]) ).

cnf(c_0_5452_1,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5452]) ).

cnf(c_0_5453_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5453]) ).

cnf(c_0_5453_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5453]) ).

cnf(c_0_5454_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5454]) ).

cnf(c_0_5454_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5454]) ).

cnf(c_0_5455_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5455]) ).

cnf(c_0_5455_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5455]) ).

cnf(c_0_5456_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5456]) ).

cnf(c_0_5456_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5456]) ).

cnf(c_0_5457_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5457]) ).

cnf(c_0_5457_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5457]) ).

cnf(c_0_5458_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5458]) ).

cnf(c_0_5458_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5458]) ).

cnf(c_0_5459_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5459]) ).

cnf(c_0_5459_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5459]) ).

cnf(c_0_5460_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5460]) ).

cnf(c_0_5460_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5460]) ).

cnf(c_0_5461_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5461]) ).

cnf(c_0_5461_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5461]) ).

cnf(c_0_5462_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5462]) ).

cnf(c_0_5462_1,axiom,
    ( ~ class_Divides_Osemiring__div(X4)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5462]) ).

cnf(c_0_5463_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5463]) ).

cnf(c_0_5463_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5463]) ).

cnf(c_0_5463_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5463]) ).

cnf(c_0_5463_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5463]) ).

cnf(c_0_5464_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5464]) ).

cnf(c_0_5464_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5464]) ).

cnf(c_0_5464_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5464]) ).

cnf(c_0_5464_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5464]) ).

cnf(c_0_5465_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5465]) ).

cnf(c_0_5465_1,axiom,
    ( X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5465]) ).

cnf(c_0_5465_2,axiom,
    ( c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5465]) ).

cnf(c_0_5465_3,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5465]) ).

cnf(c_0_5465_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5465]) ).

cnf(c_0_5466_0,axiom,
    ( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5466]) ).

cnf(c_0_5466_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5466]) ).

cnf(c_0_5466_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5466]) ).

cnf(c_0_5466_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5466]) ).

cnf(c_0_5466_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5466]) ).

cnf(c_0_5467_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5467]) ).

cnf(c_0_5467_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5467]) ).

cnf(c_0_5467_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5467]) ).

cnf(c_0_5467_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5467]) ).

cnf(c_0_5467_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5467]) ).

cnf(c_0_5468_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5468]) ).

cnf(c_0_5468_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5468]) ).

cnf(c_0_5468_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5468]) ).

cnf(c_0_5468_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5468]) ).

cnf(c_0_5468_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5468]) ).

cnf(c_0_5469_0,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5469]) ).

cnf(c_0_5469_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5469]) ).

cnf(c_0_5469_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5469]) ).

cnf(c_0_5469_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5469]) ).

cnf(c_0_5469_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5469]) ).

cnf(c_0_5470_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5470]) ).

cnf(c_0_5470_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5470]) ).

cnf(c_0_5470_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5470]) ).

cnf(c_0_5470_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5470]) ).

cnf(c_0_5470_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5470]) ).

cnf(c_0_5471_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5471]) ).

cnf(c_0_5471_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5471]) ).

cnf(c_0_5471_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5471]) ).

cnf(c_0_5471_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5471]) ).

cnf(c_0_5471_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5471]) ).

cnf(c_0_5472_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5472]) ).

cnf(c_0_5472_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5472]) ).

cnf(c_0_5472_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5472]) ).

cnf(c_0_5472_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5472]) ).

cnf(c_0_5472_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5472]) ).

cnf(c_0_5473_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5473]) ).

cnf(c_0_5473_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5473]) ).

cnf(c_0_5473_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5473]) ).

cnf(c_0_5473_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5473]) ).

cnf(c_0_5473_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5473]) ).

cnf(c_0_5474_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5474]) ).

cnf(c_0_5474_1,axiom,
    ( ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5474]) ).

cnf(c_0_5474_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5474]) ).

cnf(c_0_5474_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5474]) ).

cnf(c_0_5475_0,axiom,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5475]) ).

cnf(c_0_5475_1,axiom,
    ( ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5475]) ).

cnf(c_0_5475_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5475]) ).

cnf(c_0_5475_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5475]) ).

cnf(c_0_5476_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5476]) ).

cnf(c_0_5476_1,axiom,
    ( ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5476]) ).

cnf(c_0_5476_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5476]) ).

cnf(c_0_5476_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5476]) ).

cnf(c_0_5477_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5477]) ).

cnf(c_0_5477_1,axiom,
    ( ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5477]) ).

cnf(c_0_5477_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5477]) ).

cnf(c_0_5477_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5477]) ).

cnf(c_0_5478_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5478]) ).

cnf(c_0_5478_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5478]) ).

cnf(c_0_5479_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5479]) ).

cnf(c_0_5479_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5479]) ).

cnf(c_0_5480_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5480]) ).

cnf(c_0_5480_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5480]) ).

cnf(c_0_5481_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5481]) ).

cnf(c_0_5481_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5481]) ).

cnf(c_0_5482_0,axiom,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5482]) ).

cnf(c_0_5482_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5482]) ).

cnf(c_0_5482_2,axiom,
    ( ~ c_lessequals(X3,X5,X4)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5482]) ).

cnf(c_0_5482_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5482]) ).

cnf(c_0_5483_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5483]) ).

cnf(c_0_5483_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5483]) ).

cnf(c_0_5484_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5484]) ).

cnf(c_0_5484_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5484]) ).

cnf(c_0_5485_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5485]) ).

cnf(c_0_5485_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5485]) ).

cnf(c_0_5486_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5486]) ).

cnf(c_0_5486_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5486]) ).

cnf(c_0_5487_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5487]) ).

cnf(c_0_5487_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5487]) ).

cnf(c_0_5488_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5488]) ).

cnf(c_0_5488_1,axiom,
    ( ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5488]) ).

cnf(c_0_5488_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),X2,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5488]) ).

cnf(c_0_5489_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,X3)
    | ~ 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),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5489]) ).

cnf(c_0_5489_1,axiom,
    ( X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,X3)
    | ~ 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),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5489]) ).

cnf(c_0_5489_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,X3)
    | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5489]) ).

cnf(c_0_5489_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,X3)
    | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5489]) ).

cnf(c_0_5489_4,axiom,
    ( ~ 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)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,X3)
    | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5489]) ).

cnf(c_0_5489_5,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,X3)
    | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5489]) ).

cnf(c_0_5490_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5490]) ).

cnf(c_0_5490_1,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5490]) ).

cnf(c_0_5490_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5490]) ).

cnf(c_0_5490_3,axiom,
    ( ~ 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)
    | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5490]) ).

cnf(c_0_5490_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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)
    | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5490]) ).

cnf(c_0_5491_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5491]) ).

cnf(c_0_5491_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5491]) ).

cnf(c_0_5491_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(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),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5491]) ).

cnf(c_0_5491_3,axiom,
    ( ~ 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)
    | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5491]) ).

cnf(c_0_5491_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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)
    | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal))
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5491]) ).

cnf(c_0_5492_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5492]) ).

cnf(c_0_5492_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5492]) ).

cnf(c_0_5493_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5493]) ).

cnf(c_0_5493_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5493]) ).

cnf(c_0_5494_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5494]) ).

cnf(c_0_5494_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5494]) ).

cnf(c_0_5495_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5495]) ).

cnf(c_0_5495_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_5495]) ).

cnf(c_0_5496_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5496]) ).

cnf(c_0_5496_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5496]) ).

cnf(c_0_5496_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5496]) ).

cnf(c_0_5496_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5496]) ).

cnf(c_0_5496_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5496]) ).

cnf(c_0_5497_0,axiom,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5497]) ).

cnf(c_0_5497_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5497]) ).

cnf(c_0_5497_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5497]) ).

cnf(c_0_5497_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5497]) ).

cnf(c_0_5497_4,axiom,
    ( ~ c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5497]) ).

cnf(c_0_5498_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5498]) ).

cnf(c_0_5498_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5498]) ).

cnf(c_0_5498_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5498]) ).

cnf(c_0_5499_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5499]) ).

cnf(c_0_5499_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5499]) ).

cnf(c_0_5499_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5499]) ).

cnf(c_0_5500_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5500]) ).

cnf(c_0_5500_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5500]) ).

cnf(c_0_5500_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5500]) ).

cnf(c_0_5501_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5501]) ).

cnf(c_0_5501_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5501]) ).

cnf(c_0_5501_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5501]) ).

cnf(c_0_5502_0,axiom,
    ( c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5502]) ).

cnf(c_0_5502_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5502]) ).

cnf(c_0_5502_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5502]) ).

cnf(c_0_5503_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5503]) ).

cnf(c_0_5503_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5503]) ).

cnf(c_0_5503_2,axiom,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5503]) ).

cnf(c_0_5504_0,axiom,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5504]) ).

cnf(c_0_5504_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5504]) ).

cnf(c_0_5504_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5504]) ).

cnf(c_0_5505_0,axiom,
    ( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5505]) ).

cnf(c_0_5505_1,axiom,
    ( c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5505]) ).

cnf(c_0_5505_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5505]) ).

cnf(c_0_5506_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5506]) ).

cnf(c_0_5506_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5506]) ).

cnf(c_0_5506_2,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5506]) ).

cnf(c_0_5506_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5506]) ).

cnf(c_0_5507_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5507]) ).

cnf(c_0_5507_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5507]) ).

cnf(c_0_5507_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5507]) ).

cnf(c_0_5507_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5507]) ).

cnf(c_0_5507_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5507]) ).

cnf(c_0_5508_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5508]) ).

cnf(c_0_5508_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5508]) ).

cnf(c_0_5508_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5508]) ).

cnf(c_0_5508_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5508]) ).

cnf(c_0_5508_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5508]) ).

cnf(c_0_5509_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5509]) ).

cnf(c_0_5509_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5509]) ).

cnf(c_0_5509_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5509]) ).

cnf(c_0_5509_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5509]) ).

cnf(c_0_5510_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5510]) ).

cnf(c_0_5510_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5510]) ).

cnf(c_0_5510_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5510]) ).

cnf(c_0_5510_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5510]) ).

cnf(c_0_5511_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5511]) ).

cnf(c_0_5511_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5511]) ).

cnf(c_0_5511_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5511]) ).

cnf(c_0_5511_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5511]) ).

cnf(c_0_5512_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5512]) ).

cnf(c_0_5512_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5512]) ).

cnf(c_0_5512_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5512]) ).

cnf(c_0_5512_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5512]) ).

cnf(c_0_5513_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5513]) ).

cnf(c_0_5513_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5513]) ).

cnf(c_0_5513_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5513]) ).

cnf(c_0_5513_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5513]) ).

cnf(c_0_5514_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5514]) ).

cnf(c_0_5514_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5514]) ).

cnf(c_0_5514_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5514]) ).

cnf(c_0_5514_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5514]) ).

cnf(c_0_5515_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5515]) ).

cnf(c_0_5515_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5515]) ).

cnf(c_0_5515_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5515]) ).

cnf(c_0_5515_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5515]) ).

cnf(c_0_5516_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5516]) ).

cnf(c_0_5516_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5516]) ).

cnf(c_0_5516_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5516]) ).

cnf(c_0_5516_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5516]) ).

cnf(c_0_5517_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5517]) ).

cnf(c_0_5517_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5517]) ).

cnf(c_0_5517_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5517]) ).

cnf(c_0_5517_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5517]) ).

cnf(c_0_5518_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5518]) ).

cnf(c_0_5518_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5518]) ).

cnf(c_0_5518_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5518]) ).

cnf(c_0_5518_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5518]) ).

cnf(c_0_5519_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5519]) ).

cnf(c_0_5519_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5519]) ).

cnf(c_0_5519_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5519]) ).

cnf(c_0_5519_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5519]) ).

cnf(c_0_5520_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5520]) ).

cnf(c_0_5520_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5520]) ).

cnf(c_0_5520_2,axiom,
    ( ~ c_lessequals(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5520]) ).

cnf(c_0_5520_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5520]) ).

cnf(c_0_5521_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5521]) ).

cnf(c_0_5521_1,axiom,
    ( ~ 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)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5521]) ).

cnf(c_0_5521_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5521]) ).

cnf(c_0_5521_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5521]) ).

cnf(c_0_5522_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5522]) ).

cnf(c_0_5522_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5522]) ).

cnf(c_0_5522_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5522]) ).

cnf(c_0_5522_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5522]) ).

cnf(c_0_5523_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5523]) ).

cnf(c_0_5523_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5523]) ).

cnf(c_0_5523_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5523]) ).

cnf(c_0_5523_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5523]) ).

cnf(c_0_5524_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5524]) ).

cnf(c_0_5524_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5524]) ).

cnf(c_0_5524_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5524]) ).

cnf(c_0_5524_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5524]) ).

cnf(c_0_5525_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5525]) ).

cnf(c_0_5525_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5525]) ).

cnf(c_0_5525_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5525]) ).

cnf(c_0_5525_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5525]) ).

cnf(c_0_5526_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5526]) ).

cnf(c_0_5526_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5526]) ).

cnf(c_0_5526_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5526]) ).

cnf(c_0_5526_3,axiom,
    ( ~ class_Ring__and__Field_Omult__mono(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5526]) ).

cnf(c_0_5527_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5527]) ).

cnf(c_0_5527_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5527]) ).

cnf(c_0_5527_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5527]) ).

cnf(c_0_5527_3,axiom,
    ( ~ class_Ring__and__Field_Omult__mono(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5527]) ).

cnf(c_0_5528_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5528]) ).

cnf(c_0_5528_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5528]) ).

cnf(c_0_5528_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5528]) ).

cnf(c_0_5528_3,axiom,
    ( ~ class_Ring__and__Field_Omult__mono1(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5528]) ).

cnf(c_0_5529_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5529]) ).

cnf(c_0_5529_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5529]) ).

cnf(c_0_5529_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5529]) ).

cnf(c_0_5529_3,axiom,
    ( ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5529]) ).

cnf(c_0_5529_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5529]) ).

cnf(c_0_5530_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5530]) ).

cnf(c_0_5530_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5530]) ).

cnf(c_0_5530_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5530]) ).

cnf(c_0_5530_3,axiom,
    ( ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5530]) ).

cnf(c_0_5530_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5530]) ).

cnf(c_0_5531_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5531]) ).

cnf(c_0_5531_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),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),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5531]) ).

cnf(c_0_5531_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5531]) ).

cnf(c_0_5531_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5531]) ).

cnf(c_0_5531_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5531]) ).

cnf(c_0_5532_0,axiom,
    ( c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5532]) ).

cnf(c_0_5532_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),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),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5532]) ).

cnf(c_0_5532_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5532]) ).

cnf(c_0_5532_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5532]) ).

cnf(c_0_5532_4,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,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_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Olog(X1,X2),c_Log_Olog(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5532]) ).

cnf(c_0_5533_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5533]) ).

cnf(c_0_5533_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5533]) ).

cnf(c_0_5533_2,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5533]) ).

cnf(c_0_5533_3,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5533]) ).

cnf(c_0_5533_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5533]) ).

cnf(c_0_5533_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5533]) ).

cnf(c_0_5534_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5534]) ).

cnf(c_0_5534_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5534]) ).

cnf(c_0_5534_2,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5534]) ).

cnf(c_0_5534_3,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5534]) ).

cnf(c_0_5534_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5534]) ).

cnf(c_0_5534_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5534]) ).

cnf(c_0_5535_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5535]) ).

cnf(c_0_5535_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5535]) ).

cnf(c_0_5535_2,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5535]) ).

cnf(c_0_5535_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5535]) ).

cnf(c_0_5535_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5535]) ).

cnf(c_0_5535_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5535]) ).

cnf(c_0_5536_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5536]) ).

cnf(c_0_5536_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5536]) ).

cnf(c_0_5536_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5536]) ).

cnf(c_0_5536_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5536]) ).

cnf(c_0_5536_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5536]) ).

cnf(c_0_5536_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5536]) ).

cnf(c_0_5537_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5537]) ).

cnf(c_0_5537_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5537]) ).

cnf(c_0_5537_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5537]) ).

cnf(c_0_5537_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5537]) ).

cnf(c_0_5538_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5538]) ).

cnf(c_0_5538_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5538]) ).

cnf(c_0_5538_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5538]) ).

cnf(c_0_5538_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5538]) ).

cnf(c_0_5539_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5539]) ).

cnf(c_0_5539_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5539]) ).

cnf(c_0_5539_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5539]) ).

cnf(c_0_5539_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5539]) ).

cnf(c_0_5540_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5540]) ).

cnf(c_0_5540_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5540]) ).

cnf(c_0_5540_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5540]) ).

cnf(c_0_5540_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5540]) ).

cnf(c_0_5541_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5541]) ).

cnf(c_0_5541_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5541]) ).

cnf(c_0_5541_2,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5541]) ).

cnf(c_0_5542_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5542]) ).

cnf(c_0_5542_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5542]) ).

cnf(c_0_5542_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5542]) ).

cnf(c_0_5543_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5543]) ).

cnf(c_0_5543_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5543]) ).

cnf(c_0_5543_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5543]) ).

cnf(c_0_5544_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5544]) ).

cnf(c_0_5544_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5544]) ).

cnf(c_0_5545_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5545]) ).

cnf(c_0_5545_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5545]) ).

cnf(c_0_5546_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5546]) ).

cnf(c_0_5546_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5546]) ).

cnf(c_0_5547_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5547]) ).

cnf(c_0_5547_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5547]) ).

cnf(c_0_5548_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5548]) ).

cnf(c_0_5548_1,axiom,
    ( ~ class_Divides_Osemiring__div(X4)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5548]) ).

cnf(c_0_5549_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5549]) ).

cnf(c_0_5549_1,axiom,
    ( ~ class_Divides_Osemiring__div(X4)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5549]) ).

cnf(c_0_5550_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5550]) ).

cnf(c_0_5550_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5550]) ).

cnf(c_0_5551_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5551]) ).

cnf(c_0_5551_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5551]) ).

cnf(c_0_5552_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5552]) ).

cnf(c_0_5552_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5552]) ).

cnf(c_0_5553_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5553]) ).

cnf(c_0_5553_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5553]) ).

cnf(c_0_5554_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5554]) ).

cnf(c_0_5554_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5554]) ).

cnf(c_0_5555_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5555]) ).

cnf(c_0_5555_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5555]) ).

cnf(c_0_5556_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5556]) ).

cnf(c_0_5556_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5556]) ).

cnf(c_0_5557_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5557]) ).

cnf(c_0_5557_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5557]) ).

cnf(c_0_5558_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5558]) ).

cnf(c_0_5558_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5558]) ).

cnf(c_0_5559_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5559]) ).

cnf(c_0_5559_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5559]) ).

cnf(c_0_5560_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5560]) ).

cnf(c_0_5560_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5560]) ).

cnf(c_0_5561_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5561]) ).

cnf(c_0_5561_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5561]) ).

cnf(c_0_5562_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5562]) ).

cnf(c_0_5562_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5562]) ).

cnf(c_0_5563_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5563]) ).

cnf(c_0_5563_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5563]) ).

cnf(c_0_5564_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5564]) ).

cnf(c_0_5564_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5564]) ).

cnf(c_0_5565_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5565]) ).

cnf(c_0_5565_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5565]) ).

cnf(c_0_5566_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5566]) ).

cnf(c_0_5566_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5566]) ).

cnf(c_0_5567_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5567]) ).

cnf(c_0_5567_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5567]) ).

cnf(c_0_5568_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5568]) ).

cnf(c_0_5568_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5568]) ).

cnf(c_0_5569_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5569]) ).

cnf(c_0_5569_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5569]) ).

cnf(c_0_5570_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5570]) ).

cnf(c_0_5570_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5570]) ).

cnf(c_0_5571_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5571]) ).

cnf(c_0_5571_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5571]) ).

cnf(c_0_5572_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5572]) ).

cnf(c_0_5572_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5572]) ).

cnf(c_0_5573_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5573]) ).

cnf(c_0_5573_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5573]) ).

cnf(c_0_5574_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5574]) ).

cnf(c_0_5574_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5574]) ).

cnf(c_0_5575_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5575]) ).

cnf(c_0_5575_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5575]) ).

cnf(c_0_5576_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5576]) ).

cnf(c_0_5576_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5576]) ).

cnf(c_0_5577_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5577]) ).

cnf(c_0_5577_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5577]) ).

cnf(c_0_5578_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5578]) ).

cnf(c_0_5578_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5578]) ).

cnf(c_0_5579_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5579]) ).

cnf(c_0_5579_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5579]) ).

cnf(c_0_5580_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5580]) ).

cnf(c_0_5580_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5580]) ).

cnf(c_0_5581_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5581]) ).

cnf(c_0_5581_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5581]) ).

cnf(c_0_5582_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5582]) ).

cnf(c_0_5582_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5582]) ).

cnf(c_0_5583_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5583]) ).

cnf(c_0_5583_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5583]) ).

cnf(c_0_5584_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5584]) ).

cnf(c_0_5584_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5584]) ).

cnf(c_0_5585_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5585]) ).

cnf(c_0_5585_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5585]) ).

cnf(c_0_5586_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5586]) ).

cnf(c_0_5586_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5586]) ).

cnf(c_0_5586_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5586]) ).

cnf(c_0_5587_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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5587]) ).

cnf(c_0_5587_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_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) ),
    inference(literals_permutation,[status(thm)],[c_0_5587]) ).

cnf(c_0_5587_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5587]) ).

cnf(c_0_5588_0,axiom,
    ( 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5588]) ).

cnf(c_0_5588_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_5588]) ).

cnf(c_0_5588_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5588]) ).

cnf(c_0_5589_0,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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5589]) ).

cnf(c_0_5589_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_5589]) ).

cnf(c_0_5589_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5589]) ).

cnf(c_0_5591_0,axiom,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5591]) ).

cnf(c_0_5591_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5591]) ).

cnf(c_0_5591_2,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),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5591]) ).

cnf(c_0_5591_3,axiom,
    ( ~ 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(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5591]) ).

cnf(c_0_5592_0,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),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5592]) ).

cnf(c_0_5592_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | 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__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5592]) ).

cnf(c_0_5592_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5592]) ).

cnf(c_0_5592_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5592]) ).

cnf(c_0_5593_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5593]) ).

cnf(c_0_5593_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5593]) ).

cnf(c_0_5593_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5593]) ).

cnf(c_0_5593_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5593]) ).

cnf(c_0_5594_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5594]) ).

cnf(c_0_5594_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5594]) ).

cnf(c_0_5594_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5594]) ).

cnf(c_0_5594_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5594]) ).

cnf(c_0_5595_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5595]) ).

cnf(c_0_5595_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5595]) ).

cnf(c_0_5595_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5595]) ).

cnf(c_0_5595_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5595]) ).

cnf(c_0_5596_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5596]) ).

cnf(c_0_5596_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5596]) ).

cnf(c_0_5596_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5596]) ).

cnf(c_0_5596_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5596]) ).

cnf(c_0_5597_0,axiom,
    ( c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X1),X2),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X2,X2),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5597]) ).

cnf(c_0_5597_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X1),X2),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X2,X2),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5597]) ).

cnf(c_0_5597_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X1),X2),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X2,X2),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5597]) ).

cnf(c_0_5598_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5598]) ).

cnf(c_0_5598_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5598]) ).

cnf(c_0_5599_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5599]) ).

cnf(c_0_5599_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5599]) ).

cnf(c_0_5607_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5607]) ).

cnf(c_0_5607_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5607]) ).

cnf(c_0_5607_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_5607]) ).

cnf(c_0_5608_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5608]) ).

cnf(c_0_5608_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5608]) ).

cnf(c_0_5608_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5608]) ).

cnf(c_0_5608_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5608]) ).

cnf(c_0_5608_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5608]) ).

cnf(c_0_5609_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5609]) ).

cnf(c_0_5609_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5609]) ).

cnf(c_0_5609_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5609]) ).

cnf(c_0_5609_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5609]) ).

cnf(c_0_5609_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5609]) ).

cnf(c_0_5610_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5610]) ).

cnf(c_0_5610_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5610]) ).

cnf(c_0_5610_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5610]) ).

cnf(c_0_5610_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5610]) ).

cnf(c_0_5610_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5610]) ).

cnf(c_0_5611_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5611]) ).

cnf(c_0_5611_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5611]) ).

cnf(c_0_5611_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5611]) ).

cnf(c_0_5611_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5611]) ).

cnf(c_0_5611_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5611]) ).

cnf(c_0_5612_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5612]) ).

cnf(c_0_5612_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5612]) ).

cnf(c_0_5612_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5612]) ).

cnf(c_0_5612_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5612]) ).

cnf(c_0_5612_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5612]) ).

cnf(c_0_5613_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5613]) ).

cnf(c_0_5613_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5613]) ).

cnf(c_0_5613_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5613]) ).

cnf(c_0_5613_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5613]) ).

cnf(c_0_5613_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5613]) ).

cnf(c_0_5614_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5614]) ).

cnf(c_0_5614_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5614]) ).

cnf(c_0_5614_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5614]) ).

cnf(c_0_5614_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5614]) ).

cnf(c_0_5614_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5614]) ).

cnf(c_0_5615_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5615]) ).

cnf(c_0_5615_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5615]) ).

cnf(c_0_5615_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5615]) ).

cnf(c_0_5615_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5615]) ).

cnf(c_0_5615_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5615]) ).

cnf(c_0_5616_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3)
    | ~ 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),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5616]) ).

cnf(c_0_5616_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5616]) ).

cnf(c_0_5616_2,axiom,
    ( ~ 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)
    | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5616]) ).

cnf(c_0_5617_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5617]) ).

cnf(c_0_5617_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5617]) ).

cnf(c_0_5617_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5617]) ).

cnf(c_0_5617_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5617]) ).

cnf(c_0_5617_4,axiom,
    ( ~ 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)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5617]) ).

cnf(c_0_5618_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5618]) ).

cnf(c_0_5618_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5618]) ).

cnf(c_0_5618_2,axiom,
    ( ~ 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5618]) ).

cnf(c_0_5618_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5618]) ).

cnf(c_0_5618_4,axiom,
    ( ~ 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)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5618]) ).

cnf(c_0_5619_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5619]) ).

cnf(c_0_5619_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5619]) ).

cnf(c_0_5619_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5619]) ).

cnf(c_0_5619_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5619]) ).

cnf(c_0_5619_4,axiom,
    ( ~ 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)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5619]) ).

cnf(c_0_5620_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5620]) ).

cnf(c_0_5620_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5620]) ).

cnf(c_0_5620_2,axiom,
    ( ~ 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),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5620]) ).

cnf(c_0_5620_3,axiom,
    ( ~ 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)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5620]) ).

cnf(c_0_5620_4,axiom,
    ( ~ 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)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5620]) ).

cnf(c_0_5621_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ 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),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5621]) ).

cnf(c_0_5621_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5621]) ).

cnf(c_0_5621_2,axiom,
    ( ~ 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)
    | c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X3),c_Log_Opowr(X2,X3),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5621]) ).

cnf(c_0_5622_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,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),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5622]) ).

cnf(c_0_5622_1,axiom,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5622]) ).

cnf(c_0_5622_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5622]) ).

cnf(c_0_5622_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5622]) ).

cnf(c_0_5622_4,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5622]) ).

cnf(c_0_5623_0,axiom,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5623]) ).

cnf(c_0_5623_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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5623]) ).

cnf(c_0_5623_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5623]) ).

cnf(c_0_5623_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5623]) ).

cnf(c_0_5623_4,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5623]) ).

cnf(c_0_5624_0,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),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5624]) ).

cnf(c_0_5624_1,axiom,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5624]) ).

cnf(c_0_5624_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,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),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5624]) ).

cnf(c_0_5624_3,axiom,
    ( ~ 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)
    | 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5624]) ).

cnf(c_0_5624_4,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5624]) ).

cnf(c_0_5625_0,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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5625]) ).

cnf(c_0_5625_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),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5625]) ).

cnf(c_0_5625_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),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),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5625]) ).

cnf(c_0_5625_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5625]) ).

cnf(c_0_5625_4,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5625]) ).

cnf(c_0_5626_0,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)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5626]) ).

cnf(c_0_5626_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),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5626]) ).

cnf(c_0_5626_2,axiom,
    ( 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5626]) ).

cnf(c_0_5626_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5626]) ).

cnf(c_0_5626_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5626]) ).

cnf(c_0_5626_5,axiom,
    ( ~ 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_Oinverse__class_Odivide(X4,X2,X1),X3,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),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5626]) ).

cnf(c_0_5627_0,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)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5627]) ).

cnf(c_0_5627_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),X2,X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5627]) ).

cnf(c_0_5627_2,axiom,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),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),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5627]) ).

cnf(c_0_5627_3,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),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),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5627]) ).

cnf(c_0_5627_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),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),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5627]) ).

cnf(c_0_5627_5,axiom,
    ( ~ 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(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),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),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5627]) ).

cnf(c_0_5628_0,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)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5628]) ).

cnf(c_0_5628_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),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5628]) ).

cnf(c_0_5628_2,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),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),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5628]) ).

cnf(c_0_5628_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,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(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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5628]) ).

cnf(c_0_5628_4,axiom,
    ( ~ 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(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),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),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5628]) ).

cnf(c_0_5628_5,axiom,
    ( ~ 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(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),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),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5628]) ).

cnf(c_0_5629_0,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)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5629]) ).

cnf(c_0_5629_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),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5629]) ).

cnf(c_0_5629_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5629]) ).

cnf(c_0_5629_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5629]) ).

cnf(c_0_5629_4,axiom,
    ( ~ 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_Oinverse__class_Odivide(X4,X2,X1),X3,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),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5629]) ).

cnf(c_0_5629_5,axiom,
    ( ~ 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_Oinverse__class_Odivide(X4,X2,X1),X3,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),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5629]) ).

cnf(c_0_5630_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5630]) ).

cnf(c_0_5630_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5630]) ).

cnf(c_0_5630_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X3,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5630]) ).

cnf(c_0_5630_3,axiom,
    ( ~ 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)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5630]) ).

cnf(c_0_5631_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5631]) ).

cnf(c_0_5631_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5631]) ).

cnf(c_0_5631_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5631]) ).

cnf(c_0_5631_3,axiom,
    ( ~ 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)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5631]) ).

cnf(c_0_5632_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5632]) ).

cnf(c_0_5632_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5632]) ).

cnf(c_0_5632_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(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__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5632]) ).

cnf(c_0_5632_3,axiom,
    ( ~ 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)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5632]) ).

cnf(c_0_5633_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5633]) ).

cnf(c_0_5633_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5633]) ).

cnf(c_0_5633_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5633]) ).

cnf(c_0_5633_3,axiom,
    ( ~ 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)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5633]) ).

cnf(c_0_5634_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5634]) ).

cnf(c_0_5634_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5634]) ).

cnf(c_0_5634_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5634]) ).

cnf(c_0_5634_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5634]) ).

cnf(c_0_5635_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5635]) ).

cnf(c_0_5635_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5635]) ).

cnf(c_0_5635_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5635]) ).

cnf(c_0_5635_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5635]) ).

cnf(c_0_5636_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5636]) ).

cnf(c_0_5636_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5636]) ).

cnf(c_0_5636_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5636]) ).

cnf(c_0_5636_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5636]) ).

cnf(c_0_5637_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5637]) ).

cnf(c_0_5637_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5637]) ).

cnf(c_0_5637_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5637]) ).

cnf(c_0_5637_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5637]) ).

cnf(c_0_5638_0,axiom,
    ( c_lessequals(c_Transcendental_Oln(X1),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5638]) ).

cnf(c_0_5638_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oln(X1),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5638]) ).

cnf(c_0_5638_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oln(X1),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5638]) ).

cnf(c_0_5640_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5640]) ).

cnf(c_0_5640_1,axiom,
    ( ~ class_Divides_Oring__div(X2)
    | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5640]) ).

cnf(c_0_5641_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5641]) ).

cnf(c_0_5641_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5641]) ).

cnf(c_0_5642_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5642]) ).

cnf(c_0_5642_1,axiom,
    ( ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5642]) ).

cnf(c_0_5642_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5642]) ).

cnf(c_0_5642_3,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X3),X3),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5642]) ).

cnf(c_0_5643_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5643]) ).

cnf(c_0_5643_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5643]) ).

cnf(c_0_5643_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5643]) ).

cnf(c_0_5643_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5643]) ).

cnf(c_0_5643_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5643]) ).

cnf(c_0_5644_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5644]) ).

cnf(c_0_5644_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5644]) ).

cnf(c_0_5644_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5644]) ).

cnf(c_0_5644_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5644]) ).

cnf(c_0_5644_4,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5644]) ).

cnf(c_0_5645_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5645]) ).

cnf(c_0_5645_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5645]) ).

cnf(c_0_5645_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5645]) ).

cnf(c_0_5645_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5645]) ).

cnf(c_0_5645_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5645]) ).

cnf(c_0_5646_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5646]) ).

cnf(c_0_5646_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5646]) ).

cnf(c_0_5646_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5646]) ).

cnf(c_0_5646_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5646]) ).

cnf(c_0_5646_4,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5646]) ).

cnf(c_0_5647_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5647]) ).

cnf(c_0_5647_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5647]) ).

cnf(c_0_5647_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5647]) ).

cnf(c_0_5647_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5647]) ).

cnf(c_0_5647_4,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5647]) ).

cnf(c_0_5648_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5648]) ).

cnf(c_0_5648_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5648]) ).

cnf(c_0_5648_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5648]) ).

cnf(c_0_5648_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5648]) ).

cnf(c_0_5648_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5648]) ).

cnf(c_0_5649_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5649]) ).

cnf(c_0_5649_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5649]) ).

cnf(c_0_5649_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5649]) ).

cnf(c_0_5649_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5649]) ).

cnf(c_0_5649_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5649]) ).

cnf(c_0_5650_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ 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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5650]) ).

cnf(c_0_5650_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),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5650]) ).

cnf(c_0_5650_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5650]) ).

cnf(c_0_5650_3,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5650]) ).

cnf(c_0_5650_4,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5650]) ).

cnf(c_0_5651_0,axiom,
    ( c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5651]) ).

cnf(c_0_5651_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5651]) ).

cnf(c_0_5652_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5652]) ).

cnf(c_0_5652_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5652]) ).

cnf(c_0_5652_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5652]) ).

cnf(c_0_5652_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5652]) ).

cnf(c_0_5653_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5653]) ).

cnf(c_0_5653_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),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) ),
    inference(literals_permutation,[status(thm)],[c_0_5653]) ).

cnf(c_0_5653_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5653]) ).

cnf(c_0_5653_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5653]) ).

cnf(c_0_5654_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5654]) ).

cnf(c_0_5654_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5654]) ).

cnf(c_0_5654_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5654]) ).

cnf(c_0_5654_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5654]) ).

cnf(c_0_5655_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ 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_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5655]) ).

cnf(c_0_5655_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),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5655]) ).

cnf(c_0_5655_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5655]) ).

cnf(c_0_5655_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5655]) ).

cnf(c_0_5656_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5656]) ).

cnf(c_0_5656_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5656]) ).

cnf(c_0_5656_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5656]) ).

cnf(c_0_5656_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5656]) ).

cnf(c_0_5657_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5657]) ).

cnf(c_0_5657_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5657]) ).

cnf(c_0_5657_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5657]) ).

cnf(c_0_5657_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5657]) ).

cnf(c_0_5658_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5658]) ).

cnf(c_0_5658_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5658]) ).

cnf(c_0_5658_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5658]) ).

cnf(c_0_5658_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5658]) ).

cnf(c_0_5659_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5659]) ).

cnf(c_0_5659_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),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5659]) ).

cnf(c_0_5659_2,axiom,
    ( ~ 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(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5659]) ).

cnf(c_0_5659_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5659]) ).

cnf(c_0_5660_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5660]) ).

cnf(c_0_5660_1,axiom,
    ( ~ c_lessequals(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,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5660]) ).

cnf(c_0_5660_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(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,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5660]) ).

cnf(c_0_5660_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5660]) ).

cnf(c_0_5661_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5661]) ).

cnf(c_0_5661_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5661]) ).

cnf(c_0_5661_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5661]) ).

cnf(c_0_5661_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5661]) ).

cnf(c_0_5662_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5662]) ).

cnf(c_0_5662_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5662]) ).

cnf(c_0_5662_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),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(literals_permutation,[status(thm)],[c_0_5662]) ).

cnf(c_0_5662_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5662]) ).

cnf(c_0_5663_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5663]) ).

cnf(c_0_5663_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5663]) ).

cnf(c_0_5663_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5663]) ).

cnf(c_0_5663_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5663]) ).

cnf(c_0_5664_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5664]) ).

cnf(c_0_5664_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5664]) ).

cnf(c_0_5664_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),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(literals_permutation,[status(thm)],[c_0_5664]) ).

cnf(c_0_5664_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5664]) ).

cnf(c_0_5665_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5665]) ).

cnf(c_0_5665_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5665]) ).

cnf(c_0_5665_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5665]) ).

cnf(c_0_5665_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5665]) ).

cnf(c_0_5666_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5666]) ).

cnf(c_0_5666_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5666]) ).

cnf(c_0_5666_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5666]) ).

cnf(c_0_5666_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5666]) ).

cnf(c_0_5667_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5667]) ).

cnf(c_0_5667_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),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) ),
    inference(literals_permutation,[status(thm)],[c_0_5667]) ).

cnf(c_0_5667_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5667]) ).

cnf(c_0_5667_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5667]) ).

cnf(c_0_5668_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5668]) ).

cnf(c_0_5668_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5668]) ).

cnf(c_0_5668_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5668]) ).

cnf(c_0_5668_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5668]) ).

cnf(c_0_5669_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(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) ),
    inference(literals_permutation,[status(thm)],[c_0_5669]) ).

cnf(c_0_5669_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5669]) ).

cnf(c_0_5669_2,axiom,
    ( ~ 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(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5669]) ).

cnf(c_0_5669_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5669]) ).

cnf(c_0_5670_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5670]) ).

cnf(c_0_5670_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),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5670]) ).

cnf(c_0_5670_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5670]) ).

cnf(c_0_5670_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5670]) ).

cnf(c_0_5671_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5671]) ).

cnf(c_0_5671_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5671]) ).

cnf(c_0_5671_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5671]) ).

cnf(c_0_5671_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5671]) ).

cnf(c_0_5672_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5672]) ).

cnf(c_0_5672_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5672]) ).

cnf(c_0_5672_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5672]) ).

cnf(c_0_5672_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5672]) ).

cnf(c_0_5673_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5673]) ).

cnf(c_0_5673_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5673]) ).

cnf(c_0_5673_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5673]) ).

cnf(c_0_5673_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5673]) ).

cnf(c_0_5674_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5674]) ).

cnf(c_0_5674_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5674]) ).

cnf(c_0_5674_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5674]) ).

cnf(c_0_5674_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5674]) ).

cnf(c_0_5675_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5675]) ).

cnf(c_0_5675_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5675]) ).

cnf(c_0_5675_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5675]) ).

cnf(c_0_5675_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5675]) ).

cnf(c_0_5676_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5676]) ).

cnf(c_0_5676_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5676]) ).

cnf(c_0_5676_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5676]) ).

cnf(c_0_5676_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5676]) ).

cnf(c_0_5677_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5677]) ).

cnf(c_0_5677_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5677]) ).

cnf(c_0_5677_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5677]) ).

cnf(c_0_5677_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5677]) ).

cnf(c_0_5678_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5678]) ).

cnf(c_0_5678_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5678]) ).

cnf(c_0_5678_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5678]) ).

cnf(c_0_5678_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5678]) ).

cnf(c_0_5679_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ 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__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5679]) ).

cnf(c_0_5679_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),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5679]) ).

cnf(c_0_5679_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5679]) ).

cnf(c_0_5679_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5679]) ).

cnf(c_0_5680_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5680]) ).

cnf(c_0_5680_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5680]) ).

cnf(c_0_5680_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5680]) ).

cnf(c_0_5680_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5680]) ).

cnf(c_0_5681_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5681]) ).

cnf(c_0_5681_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5681]) ).

cnf(c_0_5681_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5681]) ).

cnf(c_0_5681_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5681]) ).

cnf(c_0_5682_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5682]) ).

cnf(c_0_5682_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5682]) ).

cnf(c_0_5682_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5682]) ).

cnf(c_0_5682_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5682]) ).

cnf(c_0_5683_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5683]) ).

cnf(c_0_5683_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),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) ),
    inference(literals_permutation,[status(thm)],[c_0_5683]) ).

cnf(c_0_5683_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5683]) ).

cnf(c_0_5683_3,axiom,
    ( ~ 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)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5683]) ).

cnf(c_0_5684_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5684]) ).

cnf(c_0_5684_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),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__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5684]) ).

cnf(c_0_5684_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5684]) ).

cnf(c_0_5684_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5684]) ).

cnf(c_0_5685_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5685]) ).

cnf(c_0_5685_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),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__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5685]) ).

cnf(c_0_5685_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5685]) ).

cnf(c_0_5685_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5685]) ).

cnf(c_0_5686_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ 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)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5686]) ).

cnf(c_0_5686_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5686]) ).

cnf(c_0_5686_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),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(literals_permutation,[status(thm)],[c_0_5686]) ).

cnf(c_0_5686_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5686]) ).

cnf(c_0_5687_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5687]) ).

cnf(c_0_5687_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X2,X1),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(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5687]) ).

cnf(c_0_5687_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5687]) ).

cnf(c_0_5687_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,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(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5687]) ).

cnf(c_0_5688_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5688]) ).

cnf(c_0_5688_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),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(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5688]) ).

cnf(c_0_5688_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5688]) ).

cnf(c_0_5688_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,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)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5688]) ).

cnf(c_0_5689_0,axiom,
    ( c_lessequals(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_lessequals(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),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5689]) ).

cnf(c_0_5689_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5689]) ).

cnf(c_0_5689_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5689]) ).

cnf(c_0_5689_3,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(X2,X1),c_Log_Opowr(X3,X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5689]) ).

cnf(c_0_5690_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5690]) ).

cnf(c_0_5690_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5690]) ).

cnf(c_0_5690_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5690]) ).

cnf(c_0_5691_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5691]) ).

cnf(c_0_5691_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5691]) ).

cnf(c_0_5691_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5691]) ).

cnf(c_0_5692_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5692]) ).

cnf(c_0_5692_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5692]) ).

cnf(c_0_5692_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5692]) ).

cnf(c_0_5693_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5693]) ).

cnf(c_0_5693_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5693]) ).

cnf(c_0_5693_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5693]) ).

cnf(c_0_5694_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5694]) ).

cnf(c_0_5694_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5694]) ).

cnf(c_0_5694_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5694]) ).

cnf(c_0_5695_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5695]) ).

cnf(c_0_5695_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5695]) ).

cnf(c_0_5695_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5695]) ).

cnf(c_0_5696_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5696]) ).

cnf(c_0_5696_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5696]) ).

cnf(c_0_5696_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5696]) ).

cnf(c_0_5697_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5697]) ).

cnf(c_0_5697_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5697]) ).

cnf(c_0_5697_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5697]) ).

cnf(c_0_5698_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5698]) ).

cnf(c_0_5698_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5698]) ).

cnf(c_0_5698_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5698]) ).

cnf(c_0_5699_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5699]) ).

cnf(c_0_5699_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5699]) ).

cnf(c_0_5699_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5699]) ).

cnf(c_0_5700_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5700]) ).

cnf(c_0_5700_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5700]) ).

cnf(c_0_5700_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5700]) ).

cnf(c_0_5700_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5700]) ).

cnf(c_0_5701_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5701]) ).

cnf(c_0_5701_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5701]) ).

cnf(c_0_5701_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5701]) ).

cnf(c_0_5701_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5701]) ).

cnf(c_0_5702_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5702]) ).

cnf(c_0_5702_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5702]) ).

cnf(c_0_5702_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5702]) ).

cnf(c_0_5702_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5702]) ).

cnf(c_0_5703_0,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),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5703]) ).

cnf(c_0_5703_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5703]) ).

cnf(c_0_5703_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5703]) ).

cnf(c_0_5703_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5703]) ).

cnf(c_0_5704_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5704]) ).

cnf(c_0_5704_1,axiom,
    ( ~ 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)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5704]) ).

cnf(c_0_5704_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ 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_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5704]) ).

cnf(c_0_5704_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5704]) ).

cnf(c_0_5704_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5704]) ).

cnf(c_0_5705_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5705]) ).

cnf(c_0_5705_1,axiom,
    ( ~ 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)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5705]) ).

cnf(c_0_5705_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ 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_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5705]) ).

cnf(c_0_5705_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5705]) ).

cnf(c_0_5705_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5705]) ).

cnf(c_0_5706_0,axiom,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5706]) ).

cnf(c_0_5706_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5706]) ).

cnf(c_0_5706_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5706]) ).

cnf(c_0_5706_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5706]) ).

cnf(c_0_5706_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5706]) ).

cnf(c_0_5707_0,axiom,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5707]) ).

cnf(c_0_5707_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5707]) ).

cnf(c_0_5707_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5707]) ).

cnf(c_0_5707_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5707]) ).

cnf(c_0_5707_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5707]) ).

cnf(c_0_5708_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5708]) ).

cnf(c_0_5708_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5708]) ).

cnf(c_0_5708_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5708]) ).

cnf(c_0_5708_3,axiom,
    ( ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5708]) ).

cnf(c_0_5709_0,axiom,
    ( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5709]) ).

cnf(c_0_5709_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5709]) ).

cnf(c_0_5709_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5709]) ).

cnf(c_0_5709_3,axiom,
    ( ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5709]) ).

cnf(c_0_5710_0,axiom,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5710]) ).

cnf(c_0_5710_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5710]) ).

cnf(c_0_5710_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5710]) ).

cnf(c_0_5711_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5711]) ).

cnf(c_0_5711_1,axiom,
    ( ~ 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)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5711]) ).

cnf(c_0_5711_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5711]) ).

cnf(c_0_5711_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5711]) ).

cnf(c_0_5712_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5712]) ).

cnf(c_0_5712_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5712]) ).

cnf(c_0_5712_2,axiom,
    ( ~ 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)
    | c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_5712]) ).

cnf(c_0_5713_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5713]) ).

cnf(c_0_5713_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5713]) ).

cnf(c_0_5713_2,axiom,
    ( ~ 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)
    | c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_5713]) ).

cnf(c_0_5714_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5714]) ).

cnf(c_0_5714_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5714]) ).

cnf(c_0_5715_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5715]) ).

cnf(c_0_5715_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5715]) ).

cnf(c_0_5715_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5715]) ).

cnf(c_0_5715_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5715]) ).

cnf(c_0_5716_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5716]) ).

cnf(c_0_5716_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5716]) ).

cnf(c_0_5716_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5716]) ).

cnf(c_0_5716_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5716]) ).

cnf(c_0_5717_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5717]) ).

cnf(c_0_5717_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5717]) ).

cnf(c_0_5718_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5718]) ).

cnf(c_0_5718_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5718]) ).

cnf(c_0_5719_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5719]) ).

cnf(c_0_5719_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5719]) ).

cnf(c_0_5719_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5719]) ).

cnf(c_0_5719_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5719]) ).

cnf(c_0_5720_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5720]) ).

cnf(c_0_5720_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5720]) ).

cnf(c_0_5720_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5720]) ).

cnf(c_0_5720_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5720]) ).

cnf(c_0_5721_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5721]) ).

cnf(c_0_5721_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5721]) ).

cnf(c_0_5721_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5721]) ).

cnf(c_0_5721_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5721]) ).

cnf(c_0_5722_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5722]) ).

cnf(c_0_5722_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5722]) ).

cnf(c_0_5722_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5722]) ).

cnf(c_0_5722_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5722]) ).

cnf(c_0_5723_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5723]) ).

cnf(c_0_5723_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5723]) ).

cnf(c_0_5723_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5723]) ).

cnf(c_0_5723_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5723]) ).

cnf(c_0_5724_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5724]) ).

cnf(c_0_5724_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5724]) ).

cnf(c_0_5724_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5724]) ).

cnf(c_0_5724_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5724]) ).

cnf(c_0_5725_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5725]) ).

cnf(c_0_5725_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5725]) ).

cnf(c_0_5725_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5725]) ).

cnf(c_0_5726_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5726]) ).

cnf(c_0_5726_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5726]) ).

cnf(c_0_5726_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5726]) ).

cnf(c_0_5727_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5727]) ).

cnf(c_0_5727_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5727]) ).

cnf(c_0_5727_2,axiom,
    ( ~ class_Divides_Oring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5727]) ).

cnf(c_0_5728_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5728]) ).

cnf(c_0_5728_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5728]) ).

cnf(c_0_5729_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5729]) ).

cnf(c_0_5729_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5729]) ).

cnf(c_0_5729_2,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5729]) ).

cnf(c_0_5730_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5730]) ).

cnf(c_0_5730_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5730]) ).

cnf(c_0_5730_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5730]) ).

cnf(c_0_5731_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5731]) ).

cnf(c_0_5731_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5731]) ).

cnf(c_0_5731_2,axiom,
    ( ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5731]) ).

cnf(c_0_5732_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5732]) ).

cnf(c_0_5732_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5732]) ).

cnf(c_0_5732_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5732]) ).

cnf(c_0_5733_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),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5733]) ).

cnf(c_0_5733_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_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) ),
    inference(literals_permutation,[status(thm)],[c_0_5733]) ).

cnf(c_0_5733_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5733]) ).

cnf(c_0_5734_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5734]) ).

cnf(c_0_5734_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5734]) ).

cnf(c_0_5734_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5734]) ).

cnf(c_0_5735_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5735]) ).

cnf(c_0_5735_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5735]) ).

cnf(c_0_5735_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5735]) ).

cnf(c_0_5736_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5736]) ).

cnf(c_0_5736_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5736]) ).

cnf(c_0_5736_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5736]) ).

cnf(c_0_5737_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5737]) ).

cnf(c_0_5737_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,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_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5737]) ).

cnf(c_0_5737_2,axiom,
    ( ~ 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)
    | c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5737]) ).

cnf(c_0_5737_3,axiom,
    ( ~ 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)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5737]) ).

cnf(c_0_5738_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,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_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5738]) ).

cnf(c_0_5738_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,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_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5738]) ).

cnf(c_0_5738_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5738]) ).

cnf(c_0_5738_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5738]) ).

cnf(c_0_5739_0,axiom,
    ( 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(literals_permutation,[status(thm)],[c_0_5739]) ).

cnf(c_0_5739_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5739]) ).

cnf(c_0_5739_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5739]) ).

cnf(c_0_5740_0,axiom,
    ( 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(literals_permutation,[status(thm)],[c_0_5740]) ).

cnf(c_0_5740_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5740]) ).

cnf(c_0_5740_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5740]) ).

cnf(c_0_5741_0,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),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5741]) ).

cnf(c_0_5741_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5741]) ).

cnf(c_0_5741_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5741]) ).

cnf(c_0_5742_0,axiom,
    ( 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(literals_permutation,[status(thm)],[c_0_5742]) ).

cnf(c_0_5742_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5742]) ).

cnf(c_0_5742_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5742]) ).

cnf(c_0_5743_0,axiom,
    ( 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(literals_permutation,[status(thm)],[c_0_5743]) ).

cnf(c_0_5743_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5743]) ).

cnf(c_0_5743_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5743]) ).

cnf(c_0_5744_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5744]) ).

cnf(c_0_5744_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5744]) ).

cnf(c_0_5745_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5745]) ).

cnf(c_0_5745_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5745]) ).

cnf(c_0_5746_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5746]) ).

cnf(c_0_5746_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5746]) ).

cnf(c_0_5747_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5747]) ).

cnf(c_0_5747_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5747]) ).

cnf(c_0_5748_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5748]) ).

cnf(c_0_5748_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5748]) ).

cnf(c_0_5749_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5749]) ).

cnf(c_0_5749_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5749]) ).

cnf(c_0_5750_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5750]) ).

cnf(c_0_5750_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5750]) ).

cnf(c_0_5751_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5751]) ).

cnf(c_0_5751_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5751]) ).

cnf(c_0_5752_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5752]) ).

cnf(c_0_5752_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X4)
    | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5752]) ).

cnf(c_0_5753_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5753]) ).

cnf(c_0_5753_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5753]) ).

cnf(c_0_5754_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5754]) ).

cnf(c_0_5754_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5754]) ).

cnf(c_0_5755_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5755]) ).

cnf(c_0_5755_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5755]) ).

cnf(c_0_5756_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5756]) ).

cnf(c_0_5756_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5756]) ).

cnf(c_0_5757_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5757]) ).

cnf(c_0_5757_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5757]) ).

cnf(c_0_5758_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5758]) ).

cnf(c_0_5758_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5758]) ).

cnf(c_0_5759_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5759]) ).

cnf(c_0_5759_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5759]) ).

cnf(c_0_5760_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5760]) ).

cnf(c_0_5760_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5760]) ).

cnf(c_0_5761_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5761]) ).

cnf(c_0_5761_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5761]) ).

cnf(c_0_5762_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5762]) ).

cnf(c_0_5762_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5762]) ).

cnf(c_0_5763_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5763]) ).

cnf(c_0_5763_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5763]) ).

cnf(c_0_5764_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5764]) ).

cnf(c_0_5764_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5764]) ).

cnf(c_0_5765_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5765]) ).

cnf(c_0_5765_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5765]) ).

cnf(c_0_5766_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5766]) ).

cnf(c_0_5766_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5766]) ).

cnf(c_0_5767_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5767]) ).

cnf(c_0_5767_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5767]) ).

cnf(c_0_5768_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5768]) ).

cnf(c_0_5768_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5768]) ).

cnf(c_0_5769_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5769]) ).

cnf(c_0_5769_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5769]) ).

cnf(c_0_5770_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5770]) ).

cnf(c_0_5770_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5770]) ).

cnf(c_0_5771_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5771]) ).

cnf(c_0_5771_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5771]) ).

cnf(c_0_5772_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5772]) ).

cnf(c_0_5772_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5772]) ).

cnf(c_0_5773_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5773]) ).

cnf(c_0_5773_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5773]) ).

cnf(c_0_5774_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5774]) ).

cnf(c_0_5774_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5774]) ).

cnf(c_0_5775_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5775]) ).

cnf(c_0_5775_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5775]) ).

cnf(c_0_5776_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5776]) ).

cnf(c_0_5776_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5776]) ).

cnf(c_0_5777_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5777]) ).

cnf(c_0_5777_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5777]) ).

cnf(c_0_5779_0,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) ),
    inference(literals_permutation,[status(thm)],[c_0_5779]) ).

cnf(c_0_5779_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(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) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5779]) ).

cnf(c_0_5780_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5780]) ).

cnf(c_0_5780_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5780]) ).

cnf(c_0_5781_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5781]) ).

cnf(c_0_5781_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5781]) ).

cnf(c_0_5782_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5782]) ).

cnf(c_0_5782_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5782]) ).

cnf(c_0_5783_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5783]) ).

cnf(c_0_5783_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5783]) ).

cnf(c_0_5784_0,axiom,
    ( 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),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5784]) ).

cnf(c_0_5784_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,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_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5784]) ).

cnf(c_0_5784_2,axiom,
    ( ~ 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)
    | c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5784]) ).

cnf(c_0_5784_3,axiom,
    ( ~ 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)
    | c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5784]) ).

cnf(c_0_5785_0,axiom,
    ( 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),X1,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(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5785]) ).

cnf(c_0_5785_1,axiom,
    ( ~ 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),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(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5785]) ).

cnf(c_0_5785_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5785]) ).

cnf(c_0_5785_3,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5785]) ).

cnf(c_0_5786_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5786]) ).

cnf(c_0_5786_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5786]) ).

cnf(c_0_5787_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5787]) ).

cnf(c_0_5787_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5787]) ).

cnf(c_0_5787_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5787]) ).

cnf(c_0_5788_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5788]) ).

cnf(c_0_5788_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5788]) ).

cnf(c_0_5788_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5788]) ).

cnf(c_0_5789_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5789]) ).

cnf(c_0_5789_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5789]) ).

cnf(c_0_5789_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5789]) ).

cnf(c_0_5789_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5789]) ).

cnf(c_0_5790_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5790]) ).

cnf(c_0_5790_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5790]) ).

cnf(c_0_5790_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5790]) ).

cnf(c_0_5790_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5790]) ).

cnf(c_0_5791_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5791]) ).

cnf(c_0_5791_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5791]) ).

cnf(c_0_5791_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5791]) ).

cnf(c_0_5791_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5791]) ).

cnf(c_0_5792_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5792]) ).

cnf(c_0_5792_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5792]) ).

cnf(c_0_5792_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5792]) ).

cnf(c_0_5792_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5792]) ).

cnf(c_0_5794_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5794]) ).

cnf(c_0_5794_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5794]) ).

cnf(c_0_5794_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5794]) ).

cnf(c_0_5794_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5794]) ).

cnf(c_0_5795_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5795]) ).

cnf(c_0_5795_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5795]) ).

cnf(c_0_5795_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5795]) ).

cnf(c_0_5795_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5795]) ).

cnf(c_0_5796_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5796]) ).

cnf(c_0_5796_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5796]) ).

cnf(c_0_5796_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5796]) ).

cnf(c_0_5796_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5796]) ).

cnf(c_0_5797_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5797]) ).

cnf(c_0_5797_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5797]) ).

cnf(c_0_5797_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5797]) ).

cnf(c_0_5797_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5797]) ).

cnf(c_0_5798_0,axiom,
    ( c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5798]) ).

cnf(c_0_5798_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5798]) ).

cnf(c_0_5798_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5798]) ).

cnf(c_0_5798_3,axiom,
    ( ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5798]) ).

cnf(c_0_5799_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5799]) ).

cnf(c_0_5799_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5799]) ).

cnf(c_0_5799_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5799]) ).

cnf(c_0_5799_3,axiom,
    ( ~ c_lessequals(X2,c_Transcendental_Opi,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)
    | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5799]) ).

cnf(c_0_5800_0,axiom,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5800]) ).

cnf(c_0_5800_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5800]) ).

cnf(c_0_5800_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5800]) ).

cnf(c_0_5801_0,axiom,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5801]) ).

cnf(c_0_5801_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5801]) ).

cnf(c_0_5801_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5801]) ).

cnf(c_0_5802_0,axiom,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5802]) ).

cnf(c_0_5802_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5802]) ).

cnf(c_0_5802_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5802]) ).

cnf(c_0_5803_0,axiom,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5803]) ).

cnf(c_0_5803_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5803]) ).

cnf(c_0_5803_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_5803]) ).

cnf(c_0_5804_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5804]) ).

cnf(c_0_5804_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5804]) ).

cnf(c_0_5804_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5804]) ).

cnf(c_0_5805_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5805]) ).

cnf(c_0_5805_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5805]) ).

cnf(c_0_5805_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5805]) ).

cnf(c_0_5806_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5806]) ).

cnf(c_0_5806_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5806]) ).

cnf(c_0_5806_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5806]) ).

cnf(c_0_5807_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5807]) ).

cnf(c_0_5807_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5807]) ).

cnf(c_0_5807_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5807]) ).

cnf(c_0_5811_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5811]) ).

cnf(c_0_5811_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5811]) ).

cnf(c_0_5811_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5811]) ).

cnf(c_0_5811_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5811]) ).

cnf(c_0_5812_0,axiom,
    ( c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5812]) ).

cnf(c_0_5812_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5812]) ).

cnf(c_0_5812_2,axiom,
    ( ~ c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5812]) ).

cnf(c_0_5813_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5813]) ).

cnf(c_0_5813_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5813]) ).

cnf(c_0_5813_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5813]) ).

cnf(c_0_5814_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5814]) ).

cnf(c_0_5814_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5814]) ).

cnf(c_0_5814_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5814]) ).

cnf(c_0_5815_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5815]) ).

cnf(c_0_5815_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5815]) ).

cnf(c_0_5816_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5816]) ).

cnf(c_0_5816_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5816]) ).

cnf(c_0_5816_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5816]) ).

cnf(c_0_5817_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5817]) ).

cnf(c_0_5817_1,axiom,
    ( ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5817]) ).

cnf(c_0_5818_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5818]) ).

cnf(c_0_5818_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5818]) ).

cnf(c_0_5818_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5818]) ).

cnf(c_0_5819_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5819]) ).

cnf(c_0_5819_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5819]) ).

cnf(c_0_5819_2,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5819]) ).

cnf(c_0_5819_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5819]) ).

cnf(c_0_5820_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5820]) ).

cnf(c_0_5820_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5820]) ).

cnf(c_0_5820_2,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5820]) ).

cnf(c_0_5820_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5820]) ).

cnf(c_0_5821_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5821]) ).

cnf(c_0_5821_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5821]) ).

cnf(c_0_5821_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5821]) ).

cnf(c_0_5821_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5821]) ).

cnf(c_0_5822_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5822]) ).

cnf(c_0_5822_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5822]) ).

cnf(c_0_5822_2,axiom,
    ( X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5822]) ).

cnf(c_0_5822_3,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5822]) ).

cnf(c_0_5822_4,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5822]) ).

cnf(c_0_5823_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5823]) ).

cnf(c_0_5823_1,axiom,
    ( X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5823]) ).

cnf(c_0_5823_2,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5823]) ).

cnf(c_0_5823_3,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5823]) ).

cnf(c_0_5823_4,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5823]) ).

cnf(c_0_5824_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5824]) ).

cnf(c_0_5824_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5824]) ).

cnf(c_0_5824_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5824]) ).

cnf(c_0_5824_3,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5824]) ).

cnf(c_0_5824_4,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5824]) ).

cnf(c_0_5825_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5825]) ).

cnf(c_0_5825_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5825]) ).

cnf(c_0_5825_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5825]) ).

cnf(c_0_5825_3,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5825]) ).

cnf(c_0_5825_4,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5825]) ).

cnf(c_0_5826_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_Log_Olog(X3,X1),tc_RealDef_Oreal) = c_Log_Olog(X3,c_Log_Opowr(X1,X2))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5826]) ).

cnf(c_0_5826_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X2,c_Log_Olog(X3,X1),tc_RealDef_Oreal) = c_Log_Olog(X3,c_Log_Opowr(X1,X2))
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5826]) ).

cnf(c_0_5826_2,axiom,
    ( ~ c_lessequals(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)
    | c_HOL_Otimes__class_Otimes(X2,c_Log_Olog(X3,X1),tc_RealDef_Oreal) = c_Log_Olog(X3,c_Log_Opowr(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5826]) ).

cnf(c_0_5827_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5827]) ).

cnf(c_0_5827_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5827]) ).

cnf(c_0_5827_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5827]) ).

cnf(c_0_5827_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5827]) ).

cnf(c_0_5828_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5828]) ).

cnf(c_0_5828_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5828]) ).

cnf(c_0_5828_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5828]) ).

cnf(c_0_5828_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5828]) ).

cnf(c_0_5829_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5829]) ).

cnf(c_0_5829_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5829]) ).

cnf(c_0_5829_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5829]) ).

cnf(c_0_5829_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5829]) ).

cnf(c_0_5830_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5830]) ).

cnf(c_0_5830_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5830]) ).

cnf(c_0_5830_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5830]) ).

cnf(c_0_5830_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5830]) ).

cnf(c_0_5831_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5831]) ).

cnf(c_0_5831_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5831]) ).

cnf(c_0_5831_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5831]) ).

cnf(c_0_5831_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5831]) ).

cnf(c_0_5831_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5831]) ).

cnf(c_0_5832_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5832]) ).

cnf(c_0_5832_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5832]) ).

cnf(c_0_5832_2,axiom,
    ( ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5832]) ).

cnf(c_0_5832_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5832]) ).

cnf(c_0_5832_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5832]) ).

cnf(c_0_5833_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5833]) ).

cnf(c_0_5833_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5833]) ).

cnf(c_0_5833_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5833]) ).

cnf(c_0_5833_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5833]) ).

cnf(c_0_5834_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5834]) ).

cnf(c_0_5834_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5834]) ).

cnf(c_0_5834_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5834]) ).

cnf(c_0_5834_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5834]) ).

cnf(c_0_5835_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5835]) ).

cnf(c_0_5835_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5835]) ).

cnf(c_0_5835_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5835]) ).

cnf(c_0_5835_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5835]) ).

cnf(c_0_5836_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5836]) ).

cnf(c_0_5836_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),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5836]) ).

cnf(c_0_5836_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ 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_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5836]) ).

cnf(c_0_5836_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5836]) ).

cnf(c_0_5837_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5837]) ).

cnf(c_0_5837_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5837]) ).

cnf(c_0_5838_0,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)
    | ~ 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)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5838]) ).

cnf(c_0_5838_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5838]) ).

cnf(c_0_5838_2,axiom,
    ( ~ 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)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5838]) ).

cnf(c_0_5838_3,axiom,
    ( ~ 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)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5838]) ).

cnf(c_0_5840_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5840]) ).

cnf(c_0_5840_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5840]) ).

cnf(c_0_5841_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5841]) ).

cnf(c_0_5841_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5841]) ).

cnf(c_0_5842_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5842]) ).

cnf(c_0_5842_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5842]) ).

cnf(c_0_5843_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5843]) ).

cnf(c_0_5843_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5843]) ).

cnf(c_0_5844_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5844]) ).

cnf(c_0_5844_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5844]) ).

cnf(c_0_5844_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5844]) ).

cnf(c_0_5845_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5845]) ).

cnf(c_0_5845_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5845]) ).

cnf(c_0_5846_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5846]) ).

cnf(c_0_5846_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5846]) ).

cnf(c_0_5847_0,axiom,
    ( c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5847]) ).

cnf(c_0_5847_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5847]) ).

cnf(c_0_5847_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5847]) ).

cnf(c_0_5848_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5848]) ).

cnf(c_0_5848_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5848]) ).

cnf(c_0_5848_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5848]) ).

cnf(c_0_5849_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5849]) ).

cnf(c_0_5849_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5849]) ).

cnf(c_0_5849_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5849]) ).

cnf(c_0_5850_0,axiom,
    ( c_lessequals(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5850]) ).

cnf(c_0_5850_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5850]) ).

cnf(c_0_5850_2,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_Log_Opowr(X3,X1),c_Log_Opowr(X3,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5850]) ).

cnf(c_0_5851_0,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5851]) ).

cnf(c_0_5851_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5851]) ).

cnf(c_0_5851_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5851]) ).

cnf(c_0_5852_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5852]) ).

cnf(c_0_5852_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5852]) ).

cnf(c_0_5853_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5853]) ).

cnf(c_0_5853_1,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5853]) ).

cnf(c_0_5853_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5853]) ).

cnf(c_0_5853_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5853]) ).

cnf(c_0_5853_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5853]) ).

cnf(c_0_5854_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5854]) ).

cnf(c_0_5854_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5854]) ).

cnf(c_0_5854_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5854]) ).

cnf(c_0_5854_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5854]) ).

cnf(c_0_5854_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5854]) ).

cnf(c_0_5855_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5855]) ).

cnf(c_0_5855_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_5855]) ).

cnf(c_0_5855_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5855]) ).

cnf(c_0_5857_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5857]) ).

cnf(c_0_5857_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_5857]) ).

cnf(c_0_5857_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5857]) ).

cnf(c_0_5858_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5858]) ).

cnf(c_0_5858_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5858]) ).

cnf(c_0_5859_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5859]) ).

cnf(c_0_5859_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),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5859]) ).

cnf(c_0_5859_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5859]) ).

cnf(c_0_5860_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5860]) ).

cnf(c_0_5860_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_5860]) ).

cnf(c_0_5860_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5860]) ).

cnf(c_0_5861_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5861]) ).

cnf(c_0_5861_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_5861]) ).

cnf(c_0_5861_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_5861]) ).

cnf(c_0_5862_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5862]) ).

cnf(c_0_5862_1,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5862]) ).

cnf(c_0_5863_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5863]) ).

cnf(c_0_5863_1,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5863]) ).

cnf(c_0_5864_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X2))
    | ~ 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),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5864]) ).

cnf(c_0_5864_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X2))
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5864]) ).

cnf(c_0_5864_2,axiom,
    ( ~ 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)
    | c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_5864]) ).

cnf(c_0_5865_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5865]) ).

cnf(c_0_5865_1,axiom,
    ( ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = X2
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5865]) ).

cnf(c_0_5865_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_5865]) ).

cnf(c_0_5866_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5866]) ).

cnf(c_0_5866_1,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5866]) ).

cnf(c_0_5867_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5867]) ).

cnf(c_0_5867_1,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5867]) ).

cnf(c_0_5868_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5868]) ).

cnf(c_0_5868_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5868]) ).

cnf(c_0_5868_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5868]) ).

cnf(c_0_5869_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5869]) ).

cnf(c_0_5869_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5869]) ).

cnf(c_0_5869_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5869]) ).

cnf(c_0_5870_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5870]) ).

cnf(c_0_5870_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5870]) ).

cnf(c_0_5870_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5870]) ).

cnf(c_0_5871_0,axiom,
    ( c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5871]) ).

cnf(c_0_5871_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5871]) ).

cnf(c_0_5872_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5872]) ).

cnf(c_0_5872_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5872]) ).

cnf(c_0_5872_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5872]) ).

cnf(c_0_5873_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5873]) ).

cnf(c_0_5873_1,axiom,
    ( c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5873]) ).

cnf(c_0_5873_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5873]) ).

cnf(c_0_5873_3,axiom,
    ( ~ 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)
    | c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5873]) ).

cnf(c_0_5874_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5874]) ).

cnf(c_0_5874_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5874]) ).

cnf(c_0_5874_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5874]) ).

cnf(c_0_5875_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5875]) ).

cnf(c_0_5875_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5875]) ).

cnf(c_0_5875_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5875]) ).

cnf(c_0_5876_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5876]) ).

cnf(c_0_5876_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5876]) ).

cnf(c_0_5876_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5876]) ).

cnf(c_0_5877_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5877]) ).

cnf(c_0_5877_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5877]) ).

cnf(c_0_5877_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5877]) ).

cnf(c_0_5878_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5878]) ).

cnf(c_0_5878_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5878]) ).

cnf(c_0_5878_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5878]) ).

cnf(c_0_5879_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5879]) ).

cnf(c_0_5879_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5879]) ).

cnf(c_0_5879_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5879]) ).

cnf(c_0_5880_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5880]) ).

cnf(c_0_5880_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5880]) ).

cnf(c_0_5880_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5880]) ).

cnf(c_0_5881_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5881]) ).

cnf(c_0_5881_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5881]) ).

cnf(c_0_5881_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5881]) ).

cnf(c_0_5882_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5882]) ).

cnf(c_0_5882_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5882]) ).

cnf(c_0_5883_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5883]) ).

cnf(c_0_5883_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5883]) ).

cnf(c_0_5884_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5884]) ).

cnf(c_0_5884_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5884]) ).

cnf(c_0_5886_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5886]) ).

cnf(c_0_5886_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5886]) ).

cnf(c_0_5886_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5886]) ).

cnf(c_0_5886_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5886]) ).

cnf(c_0_5887_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5887]) ).

cnf(c_0_5887_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5887]) ).

cnf(c_0_5888_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5888]) ).

cnf(c_0_5888_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5888]) ).

cnf(c_0_5888_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5888]) ).

cnf(c_0_5889_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5889]) ).

cnf(c_0_5889_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(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(literals_permutation,[status(thm)],[c_0_5889]) ).

cnf(c_0_5889_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5889]) ).

cnf(c_0_5890_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5890]) ).

cnf(c_0_5890_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5890]) ).

cnf(c_0_5890_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5890]) ).

cnf(c_0_5891_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5891]) ).

cnf(c_0_5891_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5891]) ).

cnf(c_0_5891_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5891]) ).

cnf(c_0_5892_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5892]) ).

cnf(c_0_5892_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(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(literals_permutation,[status(thm)],[c_0_5892]) ).

cnf(c_0_5892_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5892]) ).

cnf(c_0_5893_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_SEQ_Obanach(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5893]) ).

cnf(c_0_5893_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_SEQ_Obanach(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5893]) ).

cnf(c_0_5893_2,axiom,
    ( ~ class_SEQ_Obanach(X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5893]) ).

cnf(c_0_5894_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5894]) ).

cnf(c_0_5894_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5894]) ).

cnf(c_0_5894_2,axiom,
    ( ~ class_SEQ_Obanach(X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5894]) ).

cnf(c_0_5895_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5895]) ).

cnf(c_0_5895_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5895]) ).

cnf(c_0_5895_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5895]) ).

cnf(c_0_5896_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5896]) ).

cnf(c_0_5896_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5896]) ).

cnf(c_0_5896_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5896]) ).

cnf(c_0_5897_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_SEQ_Obanach(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5897]) ).

cnf(c_0_5897_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)
    | ~ class_SEQ_Obanach(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5897]) ).

cnf(c_0_5897_2,axiom,
    ( ~ class_SEQ_Obanach(X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5897]) ).

cnf(c_0_5898_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5898]) ).

cnf(c_0_5898_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5898]) ).

cnf(c_0_5898_2,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5898]) ).

cnf(c_0_5898_3,axiom,
    ( ~ class_RealVector_Oreal__div__algebra(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5898]) ).

cnf(c_0_5899_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5899]) ).

cnf(c_0_5899_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5899]) ).

cnf(c_0_5899_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5899]) ).

cnf(c_0_5900_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5900]) ).

cnf(c_0_5900_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5900]) ).

cnf(c_0_5900_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5900]) ).

cnf(c_0_5901_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5901]) ).

cnf(c_0_5901_1,axiom,
    ( ~ 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),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5901]) ).

cnf(c_0_5901_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5901]) ).

cnf(c_0_5902_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5902]) ).

cnf(c_0_5902_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5902]) ).

cnf(c_0_5902_2,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5902]) ).

cnf(c_0_5903_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5903]) ).

cnf(c_0_5903_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5903]) ).

cnf(c_0_5903_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5903]) ).

cnf(c_0_5904_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5904]) ).

cnf(c_0_5904_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5904]) ).

cnf(c_0_5904_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5904]) ).

cnf(c_0_5905_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5905]) ).

cnf(c_0_5905_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5905]) ).

cnf(c_0_5905_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5905]) ).

cnf(c_0_5906_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5906]) ).

cnf(c_0_5906_1,axiom,
    ( ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5906]) ).

cnf(c_0_5906_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5906]) ).

cnf(c_0_5907_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__div__algebra(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5907]) ).

cnf(c_0_5907_1,axiom,
    ( ~ class_RealVector_Oreal__div__algebra(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5907]) ).

cnf(c_0_5907_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_RealVector_Oreal__div__algebra(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5907]) ).

cnf(c_0_5908_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5908]) ).

cnf(c_0_5908_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5908]) ).

cnf(c_0_5908_2,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5908]) ).

cnf(c_0_5909_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5909]) ).

cnf(c_0_5909_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5909]) ).

cnf(c_0_5909_2,axiom,
    ( ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5909]) ).

cnf(c_0_5910_0,axiom,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5910]) ).

cnf(c_0_5910_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5910]) ).

cnf(c_0_5910_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5910]) ).

cnf(c_0_5910_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5910]) ).

cnf(c_0_5911_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5911]) ).

cnf(c_0_5911_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5911]) ).

cnf(c_0_5911_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5911]) ).

cnf(c_0_5911_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5911]) ).

cnf(c_0_5912_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5912]) ).

cnf(c_0_5912_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5912]) ).

cnf(c_0_5912_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5912]) ).

cnf(c_0_5912_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5912]) ).

cnf(c_0_5913_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5913]) ).

cnf(c_0_5913_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5913]) ).

cnf(c_0_5913_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5913]) ).

cnf(c_0_5913_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5913]) ).

cnf(c_0_5914_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5914]) ).

cnf(c_0_5914_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5914]) ).

cnf(c_0_5914_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5914]) ).

cnf(c_0_5914_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5914]) ).

cnf(c_0_5915_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5915]) ).

cnf(c_0_5915_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5915]) ).

cnf(c_0_5915_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5915]) ).

cnf(c_0_5915_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5915]) ).

cnf(c_0_5916_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5916]) ).

cnf(c_0_5916_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5916]) ).

cnf(c_0_5916_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5916]) ).

cnf(c_0_5916_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5916]) ).

cnf(c_0_5917_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5917]) ).

cnf(c_0_5917_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5917]) ).

cnf(c_0_5917_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5917]) ).

cnf(c_0_5917_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5917]) ).

cnf(c_0_5918_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5918]) ).

cnf(c_0_5918_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5918]) ).

cnf(c_0_5919_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5919]) ).

cnf(c_0_5919_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5919]) ).

cnf(c_0_5920_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5920]) ).

cnf(c_0_5920_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5920]) ).

cnf(c_0_5921_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5921]) ).

cnf(c_0_5921_1,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5921]) ).

cnf(c_0_5922_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5922]) ).

cnf(c_0_5922_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5922]) ).

cnf(c_0_5923_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5923]) ).

cnf(c_0_5923_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5923]) ).

cnf(c_0_5924_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5924]) ).

cnf(c_0_5924_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5924]) ).

cnf(c_0_5925_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5925]) ).

cnf(c_0_5925_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5925]) ).

cnf(c_0_5926_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5926]) ).

cnf(c_0_5926_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5926]) ).

cnf(c_0_5927_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5927]) ).

cnf(c_0_5927_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5927]) ).

cnf(c_0_5928_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5928]) ).

cnf(c_0_5928_1,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
    | c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5928]) ).

cnf(c_0_5929_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5929]) ).

cnf(c_0_5929_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5929]) ).

cnf(c_0_5929_2,axiom,
    ( ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5929]) ).

cnf(c_0_5930_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5930]) ).

cnf(c_0_5930_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5930]) ).

cnf(c_0_5930_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5930]) ).

cnf(c_0_5931_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5931]) ).

cnf(c_0_5931_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5931]) ).

cnf(c_0_5932_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5932]) ).

cnf(c_0_5932_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5932]) ).

cnf(c_0_5933_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5933]) ).

cnf(c_0_5933_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5933]) ).

cnf(c_0_5934_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5934]) ).

cnf(c_0_5934_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5934]) ).

cnf(c_0_5935_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5935]) ).

cnf(c_0_5935_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5935]) ).

cnf(c_0_5936_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5936]) ).

cnf(c_0_5936_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5936]) ).

cnf(c_0_5936_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5936]) ).

cnf(c_0_5937_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5937]) ).

cnf(c_0_5937_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5937]) ).

cnf(c_0_5937_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5937]) ).

cnf(c_0_5938_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5938]) ).

cnf(c_0_5938_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5938]) ).

cnf(c_0_5939_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5939]) ).

cnf(c_0_5939_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5939]) ).

cnf(c_0_5940_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5940]) ).

cnf(c_0_5940_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5940]) ).

cnf(c_0_5941_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5941]) ).

cnf(c_0_5941_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5941]) ).

cnf(c_0_5942_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5942]) ).

cnf(c_0_5942_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5942]) ).

cnf(c_0_5943_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5943]) ).

cnf(c_0_5943_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5943]) ).

cnf(c_0_5944_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5944]) ).

cnf(c_0_5944_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5944]) ).

cnf(c_0_5945_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5945]) ).

cnf(c_0_5945_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5945]) ).

cnf(c_0_5948_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_Log_Olog(X1,X2)) = X2
    | ~ 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),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5948]) ).

cnf(c_0_5948_1,axiom,
    ( c_Log_Opowr(X1,c_Log_Olog(X1,X2)) = X2
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5948]) ).

cnf(c_0_5948_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_Log_Olog(X1,X2)) = X2
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5948]) ).

cnf(c_0_5948_3,axiom,
    ( ~ 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)
    | c_Log_Opowr(X1,c_Log_Olog(X1,X2)) = X2
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5948]) ).

cnf(c_0_5949_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5949]) ).

cnf(c_0_5949_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_5949]) ).

cnf(c_0_5950_0,axiom,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5950]) ).

cnf(c_0_5950_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5950]) ).

cnf(c_0_5950_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5950]) ).

cnf(c_0_5951_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5951]) ).

cnf(c_0_5951_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5951]) ).

cnf(c_0_5951_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5951]) ).

cnf(c_0_5952_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5952]) ).

cnf(c_0_5952_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5952]) ).

cnf(c_0_5952_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5952]) ).

cnf(c_0_5953_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5953]) ).

cnf(c_0_5953_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5953]) ).

cnf(c_0_5953_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5953]) ).

cnf(c_0_5954_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5954]) ).

cnf(c_0_5954_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5954]) ).

cnf(c_0_5954_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5954]) ).

cnf(c_0_5955_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5955]) ).

cnf(c_0_5955_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5955]) ).

cnf(c_0_5955_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5955]) ).

cnf(c_0_5956_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5956]) ).

cnf(c_0_5956_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5956]) ).

cnf(c_0_5956_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5956]) ).

cnf(c_0_5957_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5957]) ).

cnf(c_0_5957_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5957]) ).

cnf(c_0_5957_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5957]) ).

cnf(c_0_5958_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5958]) ).

cnf(c_0_5958_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5958]) ).

cnf(c_0_5958_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5958]) ).

cnf(c_0_5959_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5959]) ).

cnf(c_0_5959_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5959]) ).

cnf(c_0_5959_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5959]) ).

cnf(c_0_5960_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5960]) ).

cnf(c_0_5960_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5960]) ).

cnf(c_0_5960_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5960]) ).

cnf(c_0_5961_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5961]) ).

cnf(c_0_5961_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5961]) ).

cnf(c_0_5961_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5961]) ).

cnf(c_0_5962_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5962]) ).

cnf(c_0_5962_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5962]) ).

cnf(c_0_5962_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5962]) ).

cnf(c_0_5963_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5963]) ).

cnf(c_0_5963_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5963]) ).

cnf(c_0_5963_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5963]) ).

cnf(c_0_5963_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5963]) ).

cnf(c_0_5964_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5964]) ).

cnf(c_0_5964_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5964]) ).

cnf(c_0_5964_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5964]) ).

cnf(c_0_5964_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5964]) ).

cnf(c_0_5965_0,axiom,
    ( c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5965]) ).

cnf(c_0_5965_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5965]) ).

cnf(c_0_5965_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5965]) ).

cnf(c_0_5965_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5965]) ).

cnf(c_0_5967_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5967]) ).

cnf(c_0_5967_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5967]) ).

cnf(c_0_5967_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5967]) ).

cnf(c_0_5967_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5967]) ).

cnf(c_0_5968_0,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),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5968]) ).

cnf(c_0_5968_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5968]) ).

cnf(c_0_5968_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5968]) ).

cnf(c_0_5968_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5968]) ).

cnf(c_0_5969_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5969]) ).

cnf(c_0_5969_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5969]) ).

cnf(c_0_5969_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5969]) ).

cnf(c_0_5969_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5969]) ).

cnf(c_0_5970_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5970]) ).

cnf(c_0_5970_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5970]) ).

cnf(c_0_5970_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5970]) ).

cnf(c_0_5970_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5970]) ).

cnf(c_0_5971_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5971]) ).

cnf(c_0_5971_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5971]) ).

cnf(c_0_5971_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5971]) ).

cnf(c_0_5971_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5971]) ).

cnf(c_0_5972_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | 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_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5972]) ).

cnf(c_0_5972_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5972]) ).

cnf(c_0_5972_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5972]) ).

cnf(c_0_5972_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5972]) ).

cnf(c_0_5973_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5973]) ).

cnf(c_0_5973_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5973]) ).

cnf(c_0_5973_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5973]) ).

cnf(c_0_5973_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5973]) ).

cnf(c_0_5974_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5974]) ).

cnf(c_0_5974_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5974]) ).

cnf(c_0_5975_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5975]) ).

cnf(c_0_5975_1,axiom,
    ( ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_5975]) ).

cnf(c_0_5976_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5976]) ).

cnf(c_0_5976_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5976]) ).

cnf(c_0_5977_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5977]) ).

cnf(c_0_5977_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5977]) ).

cnf(c_0_5978_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5978]) ).

cnf(c_0_5978_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5978]) ).

cnf(c_0_5979_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5979]) ).

cnf(c_0_5979_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5979]) ).

cnf(c_0_5980_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5980]) ).

cnf(c_0_5980_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5980]) ).

cnf(c_0_5981_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5981]) ).

cnf(c_0_5981_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5981]) ).

cnf(c_0_5982_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5982]) ).

cnf(c_0_5982_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5982]) ).

cnf(c_0_5983_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5983]) ).

cnf(c_0_5983_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5983]) ).

cnf(c_0_5984_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5984]) ).

cnf(c_0_5984_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5984]) ).

cnf(c_0_5985_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5985]) ).

cnf(c_0_5985_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5985]) ).

cnf(c_0_5986_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5986]) ).

cnf(c_0_5986_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5986]) ).

cnf(c_0_5987_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5987]) ).

cnf(c_0_5987_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5987]) ).

cnf(c_0_5988_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5988]) ).

cnf(c_0_5988_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5988]) ).

cnf(c_0_5989_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),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5989]) ).

cnf(c_0_5989_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5989]) ).

cnf(c_0_5989_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5989]) ).

cnf(c_0_5990_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5990]) ).

cnf(c_0_5990_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5990]) ).

cnf(c_0_5990_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5990]) ).

cnf(c_0_5990_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5990]) ).

cnf(c_0_5991_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5991]) ).

cnf(c_0_5991_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5991]) ).

cnf(c_0_5991_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5991]) ).

cnf(c_0_5992_0,axiom,
    ( 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(literals_permutation,[status(thm)],[c_0_5992]) ).

cnf(c_0_5992_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5992]) ).

cnf(c_0_5992_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5992]) ).

cnf(c_0_5993_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5993]) ).

cnf(c_0_5993_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5993]) ).

cnf(c_0_5993_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5993]) ).

cnf(c_0_5994_0,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),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5994]) ).

cnf(c_0_5994_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5994]) ).

cnf(c_0_5994_2,axiom,
    ( ~ 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)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5994]) ).

cnf(c_0_5995_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5995]) ).

cnf(c_0_5995_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5995]) ).

cnf(c_0_5995_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_5995]) ).

cnf(c_0_5996_0,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5996]) ).

cnf(c_0_5996_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5996]) ).

cnf(c_0_5996_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5996]) ).

cnf(c_0_5996_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5996]) ).

cnf(c_0_5997_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5997]) ).

cnf(c_0_5997_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5997]) ).

cnf(c_0_5997_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5997]) ).

cnf(c_0_5998_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5998]) ).

cnf(c_0_5998_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5998]) ).

cnf(c_0_5998_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_5998]) ).

cnf(c_0_5999_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5999]) ).

cnf(c_0_5999_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_5999]) ).

cnf(c_0_6000_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6000]) ).

cnf(c_0_6000_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6000]) ).

cnf(c_0_6000_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6000]) ).

cnf(c_0_6000_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6000]) ).

cnf(c_0_6001_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6001]) ).

cnf(c_0_6001_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6001]) ).

cnf(c_0_6001_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6001]) ).

cnf(c_0_6001_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6001]) ).

cnf(c_0_6002_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6002]) ).

cnf(c_0_6002_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6002]) ).

cnf(c_0_6002_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6002]) ).

cnf(c_0_6002_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6002]) ).

cnf(c_0_6003_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6003]) ).

cnf(c_0_6003_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6003]) ).

cnf(c_0_6003_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6003]) ).

cnf(c_0_6003_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6003]) ).

cnf(c_0_6004_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6004]) ).

cnf(c_0_6004_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6004]) ).

cnf(c_0_6004_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6004]) ).

cnf(c_0_6004_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6004]) ).

cnf(c_0_6005_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6005]) ).

cnf(c_0_6005_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),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6005]) ).

cnf(c_0_6005_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ 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_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6005]) ).

cnf(c_0_6005_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6005]) ).

cnf(c_0_6006_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6006]) ).

cnf(c_0_6006_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6006]) ).

cnf(c_0_6006_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6006]) ).

cnf(c_0_6006_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6006]) ).

cnf(c_0_6007_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6007]) ).

cnf(c_0_6007_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6007]) ).

cnf(c_0_6007_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6007]) ).

cnf(c_0_6007_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6007]) ).

cnf(c_0_6008_0,axiom,
    ( X1 = X2
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6008]) ).

cnf(c_0_6008_1,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6008]) ).

cnf(c_0_6008_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6008]) ).

cnf(c_0_6008_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6008]) ).

cnf(c_0_6009_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6009]) ).

cnf(c_0_6009_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6009]) ).

cnf(c_0_6010_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6010]) ).

cnf(c_0_6010_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_6010]) ).

cnf(c_0_6011_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6011]) ).

cnf(c_0_6011_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_6011]) ).

cnf(c_0_6012_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6012]) ).

cnf(c_0_6012_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6012]) ).

cnf(c_0_6012_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6012]) ).

cnf(c_0_6013_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6013]) ).

cnf(c_0_6013_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6013]) ).

cnf(c_0_6013_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6013]) ).

cnf(c_0_6014_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6014]) ).

cnf(c_0_6014_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6014]) ).

cnf(c_0_6014_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6014]) ).

cnf(c_0_6015_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6015]) ).

cnf(c_0_6015_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6015]) ).

cnf(c_0_6015_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6015]) ).

cnf(c_0_6016_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6016]) ).

cnf(c_0_6016_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6016]) ).

cnf(c_0_6016_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6016]) ).

cnf(c_0_6017_0,axiom,
    ( X1 = X2
    | ~ 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),X2,tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6017]) ).

cnf(c_0_6017_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6017]) ).

cnf(c_0_6017_2,axiom,
    ( ~ 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)
    | X1 = X2
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6017]) ).

cnf(c_0_6017_3,axiom,
    ( 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)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6017]) ).

cnf(c_0_6018_0,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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6018]) ).

cnf(c_0_6018_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6018]) ).

cnf(c_0_6018_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6018]) ).

cnf(c_0_6019_0,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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6019]) ).

cnf(c_0_6019_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6019]) ).

cnf(c_0_6019_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6019]) ).

cnf(c_0_6020_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6020]) ).

cnf(c_0_6020_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6020]) ).

cnf(c_0_6020_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6020]) ).

cnf(c_0_6021_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6021]) ).

cnf(c_0_6021_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6021]) ).

cnf(c_0_6021_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6021]) ).

cnf(c_0_6022_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6022]) ).

cnf(c_0_6022_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),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6022]) ).

cnf(c_0_6022_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ 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_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6022]) ).

cnf(c_0_6023_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6023]) ).

cnf(c_0_6023_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6023]) ).

cnf(c_0_6023_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6023]) ).

cnf(c_0_6024_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6024]) ).

cnf(c_0_6024_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_6024]) ).

cnf(c_0_6024_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6024]) ).

cnf(c_0_6025_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6025]) ).

cnf(c_0_6025_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6025]) ).

cnf(c_0_6025_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6025]) ).

cnf(c_0_6026_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6026]) ).

cnf(c_0_6026_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),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6026]) ).

cnf(c_0_6026_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6026]) ).

cnf(c_0_6027_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6027]) ).

cnf(c_0_6027_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6027]) ).

cnf(c_0_6027_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6027]) ).

cnf(c_0_6028_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6028]) ).

cnf(c_0_6028_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6028]) ).

cnf(c_0_6028_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6028]) ).

cnf(c_0_6029_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6029]) ).

cnf(c_0_6029_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6029]) ).

cnf(c_0_6029_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6029]) ).

cnf(c_0_6030_0,axiom,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6030]) ).

cnf(c_0_6030_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6030]) ).

cnf(c_0_6030_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6030]) ).

cnf(c_0_6031_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6031]) ).

cnf(c_0_6031_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6031]) ).

cnf(c_0_6031_2,axiom,
    ( ~ class_Int_Onumber__ring(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6031]) ).

cnf(c_0_6031_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X4)
    | ~ class_Int_Onumber__ring(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6031]) ).

cnf(c_0_6032_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6032]) ).

cnf(c_0_6032_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6032]) ).

cnf(c_0_6032_2,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6032]) ).

cnf(c_0_6032_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6032]) ).

cnf(c_0_6034_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6034]) ).

cnf(c_0_6034_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6034]) ).

cnf(c_0_6034_2,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6034]) ).

cnf(c_0_6034_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6034]) ).

cnf(c_0_6035_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6035]) ).

cnf(c_0_6035_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6035]) ).

cnf(c_0_6035_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6035]) ).

cnf(c_0_6036_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6036]) ).

cnf(c_0_6036_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6036]) ).

cnf(c_0_6036_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6036]) ).

cnf(c_0_6037_0,axiom,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6037]) ).

cnf(c_0_6037_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6037]) ).

cnf(c_0_6037_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6037]) ).

cnf(c_0_6038_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6038]) ).

cnf(c_0_6038_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6038]) ).

cnf(c_0_6038_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6038]) ).

cnf(c_0_6039_0,axiom,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6039]) ).

cnf(c_0_6039_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6039]) ).

cnf(c_0_6039_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6039]) ).

cnf(c_0_6040_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6040]) ).

cnf(c_0_6040_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6040]) ).

cnf(c_0_6041_0,axiom,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6041]) ).

cnf(c_0_6041_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6041]) ).

cnf(c_0_6042_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Odist__class_Odist(X1,X2,X3)
    | ~ class_RealVector_Odist__norm(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6042]) ).

cnf(c_0_6042_1,axiom,
    ( ~ class_RealVector_Odist__norm(X3)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Odist__class_Odist(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6042]) ).

cnf(c_0_6043_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6043]) ).

cnf(c_0_6043_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6043]) ).

cnf(c_0_6044_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6044]) ).

cnf(c_0_6044_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6044]) ).

cnf(c_0_6044_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6044]) ).

cnf(c_0_6044_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6044]) ).

cnf(c_0_6045_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6045]) ).

cnf(c_0_6045_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6045]) ).

cnf(c_0_6045_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6045]) ).

cnf(c_0_6045_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6045]) ).

cnf(c_0_6046_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6046]) ).

cnf(c_0_6046_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6046]) ).

cnf(c_0_6046_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6046]) ).

cnf(c_0_6046_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6046]) ).

cnf(c_0_6047_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6047]) ).

cnf(c_0_6047_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6047]) ).

cnf(c_0_6047_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6047]) ).

cnf(c_0_6047_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6047]) ).

cnf(c_0_6048_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6048]) ).

cnf(c_0_6048_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6048]) ).

cnf(c_0_6048_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6048]) ).

cnf(c_0_6048_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6048]) ).

cnf(c_0_6049_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6049]) ).

cnf(c_0_6049_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6049]) ).

cnf(c_0_6049_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6049]) ).

cnf(c_0_6049_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6049]) ).

cnf(c_0_6050_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6050]) ).

cnf(c_0_6050_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6050]) ).

cnf(c_0_6050_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6050]) ).

cnf(c_0_6050_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6050]) ).

cnf(c_0_6051_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6051]) ).

cnf(c_0_6051_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6051]) ).

cnf(c_0_6052_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6052]) ).

cnf(c_0_6052_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6052]) ).

cnf(c_0_6053_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6053]) ).

cnf(c_0_6053_1,axiom,
    ( ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6053]) ).

cnf(c_0_6054_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6054]) ).

cnf(c_0_6054_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6054]) ).

cnf(c_0_6055_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6055]) ).

cnf(c_0_6055_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6055]) ).

cnf(c_0_6056_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6056]) ).

cnf(c_0_6056_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6056]) ).

cnf(c_0_6056_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6056]) ).

cnf(c_0_6057_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6057]) ).

cnf(c_0_6057_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6057]) ).

cnf(c_0_6057_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6057]) ).

cnf(c_0_6058_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6058]) ).

cnf(c_0_6058_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6058]) ).

cnf(c_0_6058_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6058]) ).

cnf(c_0_6059_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6059]) ).

cnf(c_0_6059_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6059]) ).

cnf(c_0_6059_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6059]) ).

cnf(c_0_6060_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6060]) ).

cnf(c_0_6060_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6060]) ).

cnf(c_0_6060_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6060]) ).

cnf(c_0_6061_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6061]) ).

cnf(c_0_6061_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6061]) ).

cnf(c_0_6061_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6061]) ).

cnf(c_0_6062_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6062]) ).

cnf(c_0_6062_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6062]) ).

cnf(c_0_6062_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6062]) ).

cnf(c_0_6063_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6063]) ).

cnf(c_0_6063_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6063]) ).

cnf(c_0_6063_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6063]) ).

cnf(c_0_6064_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6064]) ).

cnf(c_0_6064_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6064]) ).

cnf(c_0_6064_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6064]) ).

cnf(c_0_6065_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6065]) ).

cnf(c_0_6065_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6065]) ).

cnf(c_0_6065_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6065]) ).

cnf(c_0_6066_0,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6066]) ).

cnf(c_0_6066_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6066]) ).

cnf(c_0_6066_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6066]) ).

cnf(c_0_6067_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6067]) ).

cnf(c_0_6067_1,axiom,
    ( ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6067]) ).

cnf(c_0_6067_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6067]) ).

cnf(c_0_6068_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6068]) ).

cnf(c_0_6068_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6068]) ).

cnf(c_0_6068_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6068]) ).

cnf(c_0_6069_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6069]) ).

cnf(c_0_6069_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6069]) ).

cnf(c_0_6069_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6069]) ).

cnf(c_0_6070_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6070]) ).

cnf(c_0_6070_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6070]) ).

cnf(c_0_6071_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6071]) ).

cnf(c_0_6071_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6071]) ).

cnf(c_0_6071_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6071]) ).

cnf(c_0_6072_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6072]) ).

cnf(c_0_6072_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6072]) ).

cnf(c_0_6072_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6072]) ).

cnf(c_0_6073_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6073]) ).

cnf(c_0_6073_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6073]) ).

cnf(c_0_6073_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6073]) ).

cnf(c_0_6074_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6074]) ).

cnf(c_0_6074_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6074]) ).

cnf(c_0_6074_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6074]) ).

cnf(c_0_6075_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6075]) ).

cnf(c_0_6075_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6075]) ).

cnf(c_0_6075_2,axiom,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6075]) ).

cnf(c_0_6076_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6076]) ).

cnf(c_0_6076_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6076]) ).

cnf(c_0_6076_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6076]) ).

cnf(c_0_6077_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6077]) ).

cnf(c_0_6077_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6077]) ).

cnf(c_0_6080_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6080]) ).

cnf(c_0_6080_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6080]) ).

cnf(c_0_6081_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6081]) ).

cnf(c_0_6081_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6081]) ).

cnf(c_0_6082_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6082]) ).

cnf(c_0_6082_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6082]) ).

cnf(c_0_6082_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6082]) ).

cnf(c_0_6083_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6083]) ).

cnf(c_0_6083_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6083]) ).

cnf(c_0_6083_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6083]) ).

cnf(c_0_6084_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6084]) ).

cnf(c_0_6084_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6084]) ).

cnf(c_0_6085_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6085]) ).

cnf(c_0_6085_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | X1 = X2
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6085]) ).

cnf(c_0_6085_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6085]) ).

cnf(c_0_6086_0,axiom,
    ( c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6086]) ).

cnf(c_0_6086_1,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6086]) ).

cnf(c_0_6087_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6087]) ).

cnf(c_0_6087_1,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6087]) ).

cnf(c_0_6088_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6088]) ).

cnf(c_0_6088_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6088]) ).

cnf(c_0_6088_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6088]) ).

cnf(c_0_6089_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6089]) ).

cnf(c_0_6089_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6089]) ).

cnf(c_0_6090_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6090]) ).

cnf(c_0_6090_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6090]) ).

cnf(c_0_6091_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6091]) ).

cnf(c_0_6091_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6091]) ).

cnf(c_0_6092_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6092]) ).

cnf(c_0_6092_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6092]) ).

cnf(c_0_6093_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6093]) ).

cnf(c_0_6093_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6093]) ).

cnf(c_0_6094_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6094]) ).

cnf(c_0_6094_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6094]) ).

cnf(c_0_6095_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6095]) ).

cnf(c_0_6095_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6095]) ).

cnf(c_0_6096_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6096]) ).

cnf(c_0_6096_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6096]) ).

cnf(c_0_6097_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6097]) ).

cnf(c_0_6097_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6097]) ).

cnf(c_0_6098_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6098]) ).

cnf(c_0_6098_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6098]) ).

cnf(c_0_6099_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6099]) ).

cnf(c_0_6099_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6099]) ).

cnf(c_0_6100_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6100]) ).

cnf(c_0_6100_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6100]) ).

cnf(c_0_6101_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6101]) ).

cnf(c_0_6101_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6101]) ).

cnf(c_0_6102_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6102]) ).

cnf(c_0_6102_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6102]) ).

cnf(c_0_6103_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6103]) ).

cnf(c_0_6103_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6103]) ).

cnf(c_0_6104_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6104]) ).

cnf(c_0_6104_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6104]) ).

cnf(c_0_6105_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6105]) ).

cnf(c_0_6105_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6105]) ).

cnf(c_0_6106_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6106]) ).

cnf(c_0_6106_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6106]) ).

cnf(c_0_6107_0,axiom,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6107]) ).

cnf(c_0_6107_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6107]) ).

cnf(c_0_6108_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6108]) ).

cnf(c_0_6108_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6108]) ).

cnf(c_0_6109_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6109]) ).

cnf(c_0_6109_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6109]) ).

cnf(c_0_6110_0,axiom,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6110]) ).

cnf(c_0_6110_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6110]) ).

cnf(c_0_6111_0,axiom,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6111]) ).

cnf(c_0_6111_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6111]) ).

cnf(c_0_6112_0,axiom,
    ( 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)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6112]) ).

cnf(c_0_6112_1,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) ),
    inference(literals_permutation,[status(thm)],[c_0_6112]) ).

cnf(c_0_6113_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6113]) ).

cnf(c_0_6113_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6113]) ).

cnf(c_0_6117_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6117]) ).

cnf(c_0_6117_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6117]) ).

cnf(c_0_6117_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6117]) ).

cnf(c_0_6117_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6117]) ).

cnf(c_0_6118_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6118]) ).

cnf(c_0_6118_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6118]) ).

cnf(c_0_6119_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6119]) ).

cnf(c_0_6119_1,axiom,
    ( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6119]) ).

cnf(c_0_6120_0,axiom,
    ( ~ 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)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6120]) ).

cnf(c_0_6120_1,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) ),
    inference(literals_permutation,[status(thm)],[c_0_6120]) ).

cnf(c_0_6121_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6121]) ).

cnf(c_0_6121_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6121]) ).

cnf(c_0_6122_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6122]) ).

cnf(c_0_6122_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6122]) ).

cnf(c_0_6123_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6123]) ).

cnf(c_0_6123_1,axiom,
    ( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6123]) ).

cnf(c_0_6124_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6124]) ).

cnf(c_0_6124_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6124]) ).

cnf(c_0_6125_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6125]) ).

cnf(c_0_6125_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6125]) ).

cnf(c_0_6126_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6126]) ).

cnf(c_0_6126_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6126]) ).

cnf(c_0_6127_0,axiom,
    ( c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6127]) ).

cnf(c_0_6127_1,axiom,
    ( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6127]) ).

cnf(c_0_6128_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6128]) ).

cnf(c_0_6128_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6128]) ).

cnf(c_0_6129_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6129]) ).

cnf(c_0_6129_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6129]) ).

cnf(c_0_6130_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6130]) ).

cnf(c_0_6130_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6130]) ).

cnf(c_0_6131_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6131]) ).

cnf(c_0_6131_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6131]) ).

cnf(c_0_6132_0,axiom,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6132]) ).

cnf(c_0_6132_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6132]) ).

cnf(c_0_6133_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6133]) ).

cnf(c_0_6133_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6133]) ).

cnf(c_0_6134_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6134]) ).

cnf(c_0_6134_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6134]) ).

cnf(c_0_6135_0,axiom,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6135]) ).

cnf(c_0_6135_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6135]) ).

cnf(c_0_6136_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6136]) ).

cnf(c_0_6136_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6136]) ).

cnf(c_0_6137_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6137]) ).

cnf(c_0_6137_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6137]) ).

cnf(c_0_6138_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6138]) ).

cnf(c_0_6138_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6138]) ).

cnf(c_0_6139_0,axiom,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6139]) ).

cnf(c_0_6139_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6139]) ).

cnf(c_0_6140_0,axiom,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6140]) ).

cnf(c_0_6140_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6140]) ).

cnf(c_0_6141_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6141]) ).

cnf(c_0_6141_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6141]) ).

cnf(c_0_6142_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6142]) ).

cnf(c_0_6142_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6142]) ).

cnf(c_0_6143_0,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6143]) ).

cnf(c_0_6143_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6143]) ).

cnf(c_0_6143_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6143]) ).

cnf(c_0_6143_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6143]) ).

cnf(c_0_6144_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6144]) ).

cnf(c_0_6144_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6144]) ).

cnf(c_0_6144_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6144]) ).

cnf(c_0_6144_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6144]) ).

cnf(c_0_6145_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6145]) ).

cnf(c_0_6145_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6145]) ).

cnf(c_0_6145_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6145]) ).

cnf(c_0_6145_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6145]) ).

cnf(c_0_6146_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6146]) ).

cnf(c_0_6146_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6146]) ).

cnf(c_0_6146_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6146]) ).

cnf(c_0_6146_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6146]) ).

cnf(c_0_6147_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6147]) ).

cnf(c_0_6147_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6147]) ).

cnf(c_0_6147_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6147]) ).

cnf(c_0_6147_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6147]) ).

cnf(c_0_6148_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6148]) ).

cnf(c_0_6148_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6148]) ).

cnf(c_0_6148_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6148]) ).

cnf(c_0_6148_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6148]) ).

cnf(c_0_6149_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6149]) ).

cnf(c_0_6149_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6149]) ).

cnf(c_0_6149_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6149]) ).

cnf(c_0_6149_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6149]) ).

cnf(c_0_6150_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6150]) ).

cnf(c_0_6150_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6150]) ).

cnf(c_0_6150_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6150]) ).

cnf(c_0_6150_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6150]) ).

cnf(c_0_6151_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),X1,X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_RealVector_Osgn__div__norm(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6151]) ).

cnf(c_0_6151_1,axiom,
    ( ~ class_RealVector_Osgn__div__norm(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),X1,X2) = c_HOL_Osgn__class_Osgn(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6151]) ).

cnf(c_0_6152_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6152]) ).

cnf(c_0_6152_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6152]) ).

cnf(c_0_6152_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6152]) ).

cnf(c_0_6153_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6153]) ).

cnf(c_0_6153_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6153]) ).

cnf(c_0_6153_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6153]) ).

cnf(c_0_6154_0,axiom,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6154]) ).

cnf(c_0_6154_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6154]) ).

cnf(c_0_6155_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6155]) ).

cnf(c_0_6155_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6155]) ).

cnf(c_0_6156_0,axiom,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6156]) ).

cnf(c_0_6156_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6156]) ).

cnf(c_0_6157_0,axiom,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6157]) ).

cnf(c_0_6157_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6157]) ).

cnf(c_0_6158_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6158]) ).

cnf(c_0_6158_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6158]) ).

cnf(c_0_6158_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6158]) ).

cnf(c_0_6159_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6159]) ).

cnf(c_0_6159_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6159]) ).

cnf(c_0_6159_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6159]) ).

cnf(c_0_6160_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6160]) ).

cnf(c_0_6160_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6160]) ).

cnf(c_0_6160_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6160]) ).

cnf(c_0_6161_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6161]) ).

cnf(c_0_6161_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6161]) ).

cnf(c_0_6161_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6161]) ).

cnf(c_0_6162_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6162]) ).

cnf(c_0_6162_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6162]) ).

cnf(c_0_6162_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6162]) ).

cnf(c_0_6163_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6163]) ).

cnf(c_0_6163_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6163]) ).

cnf(c_0_6163_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6163]) ).

cnf(c_0_6164_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6164]) ).

cnf(c_0_6164_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6164]) ).

cnf(c_0_6164_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6164]) ).

cnf(c_0_6165_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6165]) ).

cnf(c_0_6165_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6165]) ).

cnf(c_0_6165_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6165]) ).

cnf(c_0_6166_0,axiom,
    ( c_lessequals(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6166]) ).

cnf(c_0_6166_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6166]) ).

cnf(c_0_6167_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6167]) ).

cnf(c_0_6167_1,axiom,
    ( ~ 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(literals_permutation,[status(thm)],[c_0_6167]) ).

cnf(c_0_6168_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6168]) ).

cnf(c_0_6168_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6168]) ).

cnf(c_0_6169_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6169]) ).

cnf(c_0_6169_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6169]) ).

cnf(c_0_6169_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6169]) ).

cnf(c_0_6170_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6170]) ).

cnf(c_0_6170_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6170]) ).

cnf(c_0_6170_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6170]) ).

cnf(c_0_6172_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6172]) ).

cnf(c_0_6172_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6172]) ).

cnf(c_0_6174_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6174]) ).

cnf(c_0_6174_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6174]) ).

cnf(c_0_6175_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6175]) ).

cnf(c_0_6175_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6175]) ).

cnf(c_0_6176_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6176]) ).

cnf(c_0_6176_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6176]) ).

cnf(c_0_6177_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6177]) ).

cnf(c_0_6177_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6177]) ).

cnf(c_0_6178_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6178]) ).

cnf(c_0_6178_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6178]) ).

cnf(c_0_6179_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6179]) ).

cnf(c_0_6179_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6179]) ).

cnf(c_0_6180_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6180]) ).

cnf(c_0_6180_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6180]) ).

cnf(c_0_6181_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6181]) ).

cnf(c_0_6181_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6181]) ).

cnf(c_0_6182_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6182]) ).

cnf(c_0_6182_1,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6182]) ).

cnf(c_0_6182_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6182]) ).

cnf(c_0_6183_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6183]) ).

cnf(c_0_6183_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6183]) ).

cnf(c_0_6183_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6183]) ).

cnf(c_0_6184_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6184]) ).

cnf(c_0_6184_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6184]) ).

cnf(c_0_6184_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6184]) ).

cnf(c_0_6184_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6184]) ).

cnf(c_0_6185_0,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6185]) ).

cnf(c_0_6185_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6185]) ).

cnf(c_0_6185_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6185]) ).

cnf(c_0_6186_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6186]) ).

cnf(c_0_6186_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6186]) ).

cnf(c_0_6187_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6187]) ).

cnf(c_0_6187_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6187]) ).

cnf(c_0_6188_0,axiom,
    ( c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6188]) ).

cnf(c_0_6188_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6188]) ).

cnf(c_0_6189_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_Log_Opowr(X1,X2)) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6189]) ).

cnf(c_0_6189_1,axiom,
    ( c_Log_Olog(X1,c_Log_Opowr(X1,X2)) = X2
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6189]) ).

cnf(c_0_6189_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Olog(X1,c_Log_Opowr(X1,X2)) = X2
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6189]) ).

cnf(c_0_6190_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6190]) ).

cnf(c_0_6190_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6190]) ).

cnf(c_0_6190_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6190]) ).

cnf(c_0_6191_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6191]) ).

cnf(c_0_6191_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6191]) ).

cnf(c_0_6191_2,axiom,
    ( ~ class_Ring__and__Field_Oabs__if(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6191]) ).

cnf(c_0_6192_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6192]) ).

cnf(c_0_6192_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6192]) ).

cnf(c_0_6192_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6192]) ).

cnf(c_0_6195_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6195]) ).

cnf(c_0_6195_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6195]) ).

cnf(c_0_6196_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6196]) ).

cnf(c_0_6196_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6196]) ).

cnf(c_0_6197_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6197]) ).

cnf(c_0_6197_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6197]) ).

cnf(c_0_6197_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6197]) ).

cnf(c_0_6197_3,axiom,
    ( ~ class_Ring__and__Field_Osgn__if(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6197]) ).

cnf(c_0_6198_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6198]) ).

cnf(c_0_6198_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6198]) ).

cnf(c_0_6205_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6205]) ).

cnf(c_0_6205_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6205]) ).

cnf(c_0_6206_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6206]) ).

cnf(c_0_6206_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6206]) ).

cnf(c_0_6206_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6206]) ).

cnf(c_0_6207_0,axiom,
    ( c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6207]) ).

cnf(c_0_6207_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6207]) ).

cnf(c_0_6207_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6207]) ).

cnf(c_0_6208_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6208]) ).

cnf(c_0_6208_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6208]) ).

cnf(c_0_6208_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6208]) ).

cnf(c_0_6209_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6209]) ).

cnf(c_0_6209_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6209]) ).

cnf(c_0_6209_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6209]) ).

cnf(c_0_6211_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6211]) ).

cnf(c_0_6211_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6211]) ).

cnf(c_0_6211_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6211]) ).

cnf(c_0_6211_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6211]) ).

cnf(c_0_6212_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6212]) ).

cnf(c_0_6212_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6212]) ).

cnf(c_0_6212_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6212]) ).

cnf(c_0_6212_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6212]) ).

cnf(c_0_6213_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6213]) ).

cnf(c_0_6213_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6213]) ).

cnf(c_0_6213_2,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6213]) ).

cnf(c_0_6213_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6213]) ).

cnf(c_0_6214_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6214]) ).

cnf(c_0_6214_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6214]) ).

cnf(c_0_6214_2,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6214]) ).

cnf(c_0_6214_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6214]) ).

cnf(c_0_6215_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6215]) ).

cnf(c_0_6215_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6215]) ).

cnf(c_0_6215_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6215]) ).

cnf(c_0_6215_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6215]) ).

cnf(c_0_6217_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) = X1
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6217]) ).

cnf(c_0_6217_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6217]) ).

cnf(c_0_6217_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6217]) ).

cnf(c_0_6218_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6218]) ).

cnf(c_0_6218_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6218]) ).

cnf(c_0_6218_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6218]) ).

cnf(c_0_6219_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6219]) ).

cnf(c_0_6219_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6219]) ).

cnf(c_0_6219_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6219]) ).

cnf(c_0_6220_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6220]) ).

cnf(c_0_6220_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6220]) ).

cnf(c_0_6220_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6220]) ).

cnf(c_0_6221_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6221]) ).

cnf(c_0_6221_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6221]) ).

cnf(c_0_6221_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6221]) ).

cnf(c_0_6222_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6222]) ).

cnf(c_0_6222_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6222]) ).

cnf(c_0_6222_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6222]) ).

cnf(c_0_6223_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6223]) ).

cnf(c_0_6223_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6223]) ).

cnf(c_0_6223_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6223]) ).

cnf(c_0_6224_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6224]) ).

cnf(c_0_6224_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6224]) ).

cnf(c_0_6224_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6224]) ).

cnf(c_0_6225_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6225]) ).

cnf(c_0_6225_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6225]) ).

cnf(c_0_6225_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6225]) ).

cnf(c_0_6226_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6226]) ).

cnf(c_0_6226_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6226]) ).

cnf(c_0_6227_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6227]) ).

cnf(c_0_6227_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6227]) ).

cnf(c_0_6228_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6228]) ).

cnf(c_0_6228_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6228]) ).

cnf(c_0_6229_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6229]) ).

cnf(c_0_6229_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6229]) ).

cnf(c_0_6230_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6230]) ).

cnf(c_0_6230_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6230]) ).

cnf(c_0_6231_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6231]) ).

cnf(c_0_6231_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6231]) ).

cnf(c_0_6232_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6232]) ).

cnf(c_0_6232_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6232]) ).

cnf(c_0_6233_0,axiom,
    ( c_RealVector_Odist__class_Odist(X1,X2,X3) = c_RealVector_Odist__class_Odist(X2,X1,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6233]) ).

cnf(c_0_6233_1,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_RealVector_Odist__class_Odist(X1,X2,X3) = c_RealVector_Odist__class_Odist(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6233]) ).

cnf(c_0_6234_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6234]) ).

cnf(c_0_6234_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6234]) ).

cnf(c_0_6235_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6235]) ).

cnf(c_0_6235_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6235]) ).

cnf(c_0_6236_0,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6236]) ).

cnf(c_0_6236_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6236]) ).

cnf(c_0_6236_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6236]) ).

cnf(c_0_6237_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6237]) ).

cnf(c_0_6237_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6237]) ).

cnf(c_0_6237_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_6237]) ).

cnf(c_0_6238_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6238]) ).

cnf(c_0_6238_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6238]) ).

cnf(c_0_6239_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6239]) ).

cnf(c_0_6239_1,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6239]) ).

cnf(c_0_6239_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_6239]) ).

cnf(c_0_6240_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6240]) ).

cnf(c_0_6240_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6240]) ).

cnf(c_0_6241_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6241]) ).

cnf(c_0_6241_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6241]) ).

cnf(c_0_6242_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6242]) ).

cnf(c_0_6242_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6242]) ).

cnf(c_0_6243_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6243]) ).

cnf(c_0_6243_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6243]) ).

cnf(c_0_6245_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6245]) ).

cnf(c_0_6245_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6245]) ).

cnf(c_0_6246_0,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6246]) ).

cnf(c_0_6246_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6246]) ).

cnf(c_0_6247_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6247]) ).

cnf(c_0_6247_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6247]) ).

cnf(c_0_6247_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6247]) ).

cnf(c_0_6247_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6247]) ).

cnf(c_0_6248_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6248]) ).

cnf(c_0_6248_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6248]) ).

cnf(c_0_6248_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6248]) ).

cnf(c_0_6248_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6248]) ).

cnf(c_0_6249_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6249]) ).

cnf(c_0_6249_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6249]) ).

cnf(c_0_6249_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6249]) ).

cnf(c_0_6249_3,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6249]) ).

cnf(c_0_6250_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Log_Olog(X1,X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6250]) ).

cnf(c_0_6250_1,axiom,
    ( c_Log_Olog(X1,X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6250]) ).

cnf(c_0_6250_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Olog(X1,X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6250]) ).

cnf(c_0_6252_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6252]) ).

cnf(c_0_6252_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6252]) ).

cnf(c_0_6252_2,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6252]) ).

cnf(c_0_6252_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6252]) ).

cnf(c_0_6253_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6253]) ).

cnf(c_0_6253_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6253]) ).

cnf(c_0_6253_2,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6253]) ).

cnf(c_0_6253_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6253]) ).

cnf(c_0_6254_0,axiom,
    ( c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6254]) ).

cnf(c_0_6254_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6254]) ).

cnf(c_0_6255_0,axiom,
    ( c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal) = X1
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6255]) ).

cnf(c_0_6255_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X1),tc_RealDef_Oreal) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6255]) ).

cnf(c_0_6256_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6256]) ).

cnf(c_0_6256_1,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6256]) ).

cnf(c_0_6256_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6256]) ).

cnf(c_0_6257_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6257]) ).

cnf(c_0_6257_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6257]) ).

cnf(c_0_6257_2,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6257]) ).

cnf(c_0_6257_3,axiom,
    ( ~ class_Ring__and__Field_Osgn__if(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6257]) ).

cnf(c_0_6258_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6258]) ).

cnf(c_0_6258_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6258]) ).

cnf(c_0_6258_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6258]) ).

cnf(c_0_6259_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6259]) ).

cnf(c_0_6259_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6259]) ).

cnf(c_0_6259_2,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6259]) ).

cnf(c_0_6259_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6259]) ).

cnf(c_0_6260_0,axiom,
    ( X1 = X2
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6260]) ).

cnf(c_0_6260_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6260]) ).

cnf(c_0_6260_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6260]) ).

cnf(c_0_6260_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6260]) ).

cnf(c_0_6261_0,axiom,
    ( c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6261]) ).

cnf(c_0_6261_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6261]) ).

cnf(c_0_6262_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6262]) ).

cnf(c_0_6262_1,axiom,
    ( c_lessequals(X2,X1,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6262]) ).

cnf(c_0_6263_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6263]) ).

cnf(c_0_6263_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6263]) ).

cnf(c_0_6265_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6265]) ).

cnf(c_0_6265_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6265]) ).

cnf(c_0_6265_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6265]) ).

cnf(c_0_6266_0,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6266]) ).

cnf(c_0_6266_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6266]) ).

cnf(c_0_6267_0,axiom,
    ( c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6267]) ).

cnf(c_0_6267_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6267]) ).

cnf(c_0_6268_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6268]) ).

cnf(c_0_6268_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Oln(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6268]) ).

cnf(c_0_6268_2,axiom,
    ( c_Transcendental_Oln(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6268]) ).

cnf(c_0_6269_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6269]) ).

cnf(c_0_6269_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6269]) ).

cnf(c_0_6269_2,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6269]) ).

cnf(c_0_6270_0,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) ),
    inference(literals_permutation,[status(thm)],[c_0_6270]) ).

cnf(c_0_6270_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6270]) ).

cnf(c_0_6271_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6271]) ).

cnf(c_0_6271_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6271]) ).

cnf(c_0_6271_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6271]) ).

cnf(c_0_6272_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6272]) ).

cnf(c_0_6272_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6272]) ).

cnf(c_0_6272_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6272]) ).

cnf(c_0_6273_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6273]) ).

cnf(c_0_6273_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6273]) ).

cnf(c_0_6274_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6274]) ).

cnf(c_0_6274_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6274]) ).

cnf(c_0_6275_0,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6275]) ).

cnf(c_0_6275_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6275]) ).

cnf(c_0_6276_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6276]) ).

cnf(c_0_6276_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6276]) ).

cnf(c_0_6276_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6276]) ).

cnf(c_0_6277_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6277]) ).

cnf(c_0_6277_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6277]) ).

cnf(c_0_6278_0,axiom,
    ( X1 = X2
    | c_RealVector_Odist__class_Odist(X1,X2,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6278]) ).

cnf(c_0_6278_1,axiom,
    ( c_RealVector_Odist__class_Odist(X1,X2,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6278]) ).

cnf(c_0_6278_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_RealVector_Odist__class_Odist(X1,X2,X3) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6278]) ).

cnf(c_0_6279_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6279]) ).

cnf(c_0_6279_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6279]) ).

cnf(c_0_6279_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6279]) ).

cnf(c_0_6280_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6280]) ).

cnf(c_0_6280_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6280]) ).

cnf(c_0_6280_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6280]) ).

cnf(c_0_6281_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6281]) ).

cnf(c_0_6281_1,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6281]) ).

cnf(c_0_6281_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6281]) ).

cnf(c_0_6282_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6282]) ).

cnf(c_0_6282_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6282]) ).

cnf(c_0_6282_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6282]) ).

cnf(c_0_6283_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6283]) ).

cnf(c_0_6283_1,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6283]) ).

cnf(c_0_6283_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6283]) ).

cnf(c_0_6284_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6284]) ).

cnf(c_0_6284_1,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6284]) ).

cnf(c_0_6284_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6284]) ).

cnf(c_0_6285_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6285]) ).

cnf(c_0_6285_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6285]) ).

cnf(c_0_6285_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6285]) ).

cnf(c_0_6286_0,axiom,
    ( c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6286]) ).

cnf(c_0_6286_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X2),X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6286]) ).

cnf(c_0_6286_2,axiom,
    ( ~ class_SEQ_Obanach(X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6286]) ).

cnf(c_0_6287_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6287]) ).

cnf(c_0_6287_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6287]) ).

cnf(c_0_6287_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6287]) ).

cnf(c_0_6288_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6288]) ).

cnf(c_0_6288_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6288]) ).

cnf(c_0_6288_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6288]) ).

cnf(c_0_6289_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6289]) ).

cnf(c_0_6289_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6289]) ).

cnf(c_0_6290_0,axiom,
    ( c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6290]) ).

cnf(c_0_6290_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6290]) ).

cnf(c_0_6291_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6291]) ).

cnf(c_0_6291_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6291]) ).

cnf(c_0_6292_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6292]) ).

cnf(c_0_6292_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6292]) ).

cnf(c_0_6293_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6293]) ).

cnf(c_0_6293_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6293]) ).

cnf(c_0_6294_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6294]) ).

cnf(c_0_6294_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6294]) ).

cnf(c_0_6295_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6295]) ).

cnf(c_0_6295_1,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6295]) ).

cnf(c_0_6295_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6295]) ).

cnf(c_0_6296_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6296]) ).

cnf(c_0_6296_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6296]) ).

cnf(c_0_6296_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6296]) ).

cnf(c_0_6297_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6297]) ).

cnf(c_0_6297_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6297]) ).

cnf(c_0_6297_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6297]) ).

cnf(c_0_6298_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) != X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6298]) ).

cnf(c_0_6298_1,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) != X1
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6298]) ).

cnf(c_0_6298_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2) != X1
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6298]) ).

cnf(c_0_6299_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6299]) ).

cnf(c_0_6299_1,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6299]) ).

cnf(c_0_6299_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6299]) ).

cnf(c_0_6300_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6300]) ).

cnf(c_0_6300_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6300]) ).

cnf(c_0_6301_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6301]) ).

cnf(c_0_6301_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6301]) ).

cnf(c_0_6302_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6302]) ).

cnf(c_0_6302_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6302]) ).

cnf(c_0_6303_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6303]) ).

cnf(c_0_6303_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6303]) ).

cnf(c_0_6306_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6306]) ).

cnf(c_0_6306_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6306]) ).

cnf(c_0_6306_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6306]) ).

cnf(c_0_6307_0,axiom,
    ( c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6307]) ).

cnf(c_0_6307_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6307]) ).

cnf(c_0_6307_2,axiom,
    ( ~ class_SEQ_Obanach(X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6307]) ).

cnf(c_0_6308_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__div__algebra(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6308]) ).

cnf(c_0_6308_1,axiom,
    ( ~ class_RealVector_Oreal__div__algebra(X2)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6308]) ).

cnf(c_0_6308_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_RealVector_Oreal__div__algebra(X2)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6308]) ).

cnf(c_0_6309_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6309]) ).

cnf(c_0_6309_1,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6309]) ).

cnf(c_0_6309_2,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6309]) ).

cnf(c_0_6310_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6310]) ).

cnf(c_0_6310_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6310]) ).

cnf(c_0_6310_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6310]) ).

cnf(c_0_6310_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6310]) ).

cnf(c_0_6311_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6311]) ).

cnf(c_0_6311_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6311]) ).

cnf(c_0_6312_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6312]) ).

cnf(c_0_6312_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6312]) ).

cnf(c_0_6312_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6312]) ).

cnf(c_0_6313_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6313]) ).

cnf(c_0_6313_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6313]) ).

cnf(c_0_6313_2,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6313]) ).

cnf(c_0_6315_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__div__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6315]) ).

cnf(c_0_6315_1,axiom,
    ( c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__div__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6315]) ).

cnf(c_0_6315_2,axiom,
    ( ~ class_RealVector_Oreal__div__algebra(X2)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X2) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6315]) ).

cnf(c_0_6316_0,axiom,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6316]) ).

cnf(c_0_6316_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6316]) ).

cnf(c_0_6317_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6317]) ).

cnf(c_0_6317_1,axiom,
    ( c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal) != X1
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6317]) ).

cnf(c_0_6318_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6318]) ).

cnf(c_0_6318_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6318]) ).

cnf(c_0_6318_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6318]) ).

cnf(c_0_6319_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6319]) ).

cnf(c_0_6319_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6319]) ).

cnf(c_0_6320_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6320]) ).

cnf(c_0_6320_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6320]) ).

cnf(c_0_6321_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6321]) ).

cnf(c_0_6321_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6321]) ).

cnf(c_0_6324_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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6324]) ).

cnf(c_0_6324_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6324]) ).

cnf(c_0_6324_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6324]) ).

cnf(c_0_6325_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6325]) ).

cnf(c_0_6325_1,axiom,
    ( c_Log_Opowr(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X1
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6325]) ).

cnf(c_0_6326_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6326]) ).

cnf(c_0_6326_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X2)
    | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X2),X2) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6326]) ).

cnf(c_0_6327_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6327]) ).

cnf(c_0_6327_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6327]) ).

cnf(c_0_6329_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6329]) ).

cnf(c_0_6329_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6329]) ).

cnf(c_0_6329_2,axiom,
    ( ~ class_Ring__and__Field_Oabs__if(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6329]) ).

cnf(c_0_6330_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6330]) ).

cnf(c_0_6330_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6330]) ).

cnf(c_0_6333_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6333]) ).

cnf(c_0_6333_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6333]) ).

cnf(c_0_6334_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6334]) ).

cnf(c_0_6334_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6334]) ).

cnf(c_0_6335_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2) = c_RealVector_Oof__real(X1,X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6335]) ).

cnf(c_0_6335_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2) = c_RealVector_Oof__real(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6335]) ).

cnf(c_0_6336_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6336]) ).

cnf(c_0_6336_1,axiom,
    ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6336]) ).

cnf(c_0_6341_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6341]) ).

cnf(c_0_6341_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6341]) ).

cnf(c_0_6341_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6341]) ).

cnf(c_0_6342_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6342]) ).

cnf(c_0_6342_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6342]) ).

cnf(c_0_6342_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6342]) ).

cnf(c_0_6343_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_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6343]) ).

cnf(c_0_6343_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6343]) ).

cnf(c_0_6343_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6343]) ).

cnf(c_0_6345_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6345]) ).

cnf(c_0_6345_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6345]) ).

cnf(c_0_6345_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6345]) ).

cnf(c_0_6345_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6345]) ).

cnf(c_0_6346_0,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) ),
    inference(literals_permutation,[status(thm)],[c_0_6346]) ).

cnf(c_0_6346_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6346]) ).

cnf(c_0_6347_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6347]) ).

cnf(c_0_6347_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6347]) ).

cnf(c_0_6347_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6347]) ).

cnf(c_0_6349_0,axiom,
    ( c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6349]) ).

cnf(c_0_6349_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6349]) ).

cnf(c_0_6350_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6350]) ).

cnf(c_0_6350_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6350]) ).

cnf(c_0_6351_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6351]) ).

cnf(c_0_6351_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6351]) ).

cnf(c_0_6352_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6352]) ).

cnf(c_0_6352_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6352]) ).

cnf(c_0_6352_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6352]) ).

cnf(c_0_6353_0,axiom,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6353]) ).

cnf(c_0_6353_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6353]) ).

cnf(c_0_6354_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6354]) ).

cnf(c_0_6354_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6354]) ).

cnf(c_0_6355_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6355]) ).

cnf(c_0_6355_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6355]) ).

cnf(c_0_6356_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6356]) ).

cnf(c_0_6356_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6356]) ).

cnf(c_0_6357_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6357]) ).

cnf(c_0_6357_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6357]) ).

cnf(c_0_6358_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6358]) ).

cnf(c_0_6358_1,axiom,
    ( ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6358]) ).

cnf(c_0_6359_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6359]) ).

cnf(c_0_6359_1,axiom,
    ( ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6359]) ).

cnf(c_0_6360_0,axiom,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6360]) ).

cnf(c_0_6360_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6360]) ).

cnf(c_0_6361_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6361]) ).

cnf(c_0_6361_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6361]) ).

cnf(c_0_6362_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6362]) ).

cnf(c_0_6362_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6362]) ).

cnf(c_0_6363_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6363]) ).

cnf(c_0_6363_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6363]) ).

cnf(c_0_6364_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6364]) ).

cnf(c_0_6364_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6364]) ).

cnf(c_0_6365_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6365]) ).

cnf(c_0_6365_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6365]) ).

cnf(c_0_6366_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6366]) ).

cnf(c_0_6366_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6366]) ).

cnf(c_0_6367_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6367]) ).

cnf(c_0_6367_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6367]) ).

cnf(c_0_6368_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6368]) ).

cnf(c_0_6368_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6368]) ).

cnf(c_0_6369_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6369]) ).

cnf(c_0_6369_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6369]) ).

cnf(c_0_6370_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_Oring__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6370]) ).

cnf(c_0_6370_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6370]) ).

cnf(c_0_6371_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6371]) ).

cnf(c_0_6371_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6371]) ).

cnf(c_0_6372_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6372]) ).

cnf(c_0_6372_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6372]) ).

cnf(c_0_6372_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6372]) ).

cnf(c_0_6373_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6373]) ).

cnf(c_0_6373_1,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6373]) ).

cnf(c_0_6373_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6373]) ).

cnf(c_0_6374_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6374]) ).

cnf(c_0_6374_1,axiom,
    ( c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6374]) ).

cnf(c_0_6374_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6374]) ).

cnf(c_0_6375_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_6375]) ).

cnf(c_0_6375_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_6375]) ).

cnf(c_0_6376_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_6376]) ).

cnf(c_0_6376_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_6376]) ).

cnf(c_0_6377_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6377]) ).

cnf(c_0_6377_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6377]) ).

cnf(c_0_6379_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6379]) ).

cnf(c_0_6379_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6379]) ).

cnf(c_0_6380_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6380]) ).

cnf(c_0_6380_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6380]) ).

cnf(c_0_6381_0,axiom,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6381]) ).

cnf(c_0_6381_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6381]) ).

cnf(c_0_6382_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6382]) ).

cnf(c_0_6382_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6382]) ).

cnf(c_0_6383_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6383]) ).

cnf(c_0_6383_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6383]) ).

cnf(c_0_6384_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6384]) ).

cnf(c_0_6384_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6384]) ).

cnf(c_0_6385_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6385]) ).

cnf(c_0_6385_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6385]) ).

cnf(c_0_6386_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6386]) ).

cnf(c_0_6386_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6386]) ).

cnf(c_0_6387_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6387]) ).

cnf(c_0_6387_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6387]) ).

cnf(c_0_6388_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6388]) ).

cnf(c_0_6388_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6388]) ).

cnf(c_0_6389_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6389]) ).

cnf(c_0_6389_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6389]) ).

cnf(c_0_6390_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6390]) ).

cnf(c_0_6390_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6390]) ).

cnf(c_0_6391_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6391]) ).

cnf(c_0_6391_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6391]) ).

cnf(c_0_6392_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6392]) ).

cnf(c_0_6392_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6392]) ).

cnf(c_0_6393_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6393]) ).

cnf(c_0_6393_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6393]) ).

cnf(c_0_6394_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6394]) ).

cnf(c_0_6394_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6394]) ).

cnf(c_0_6395_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6395]) ).

cnf(c_0_6395_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6395]) ).

cnf(c_0_6396_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6396]) ).

cnf(c_0_6396_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6396]) ).

cnf(c_0_6397_0,axiom,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6397]) ).

cnf(c_0_6397_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6397]) ).

cnf(c_0_6398_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6398]) ).

cnf(c_0_6398_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6398]) ).

cnf(c_0_6399_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6399]) ).

cnf(c_0_6399_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6399]) ).

cnf(c_0_6400_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6400]) ).

cnf(c_0_6400_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6400]) ).

cnf(c_0_6401_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6401]) ).

cnf(c_0_6401_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6401]) ).

cnf(c_0_6402_0,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6402]) ).

cnf(c_0_6402_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6402]) ).

cnf(c_0_6404_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X1),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6404]) ).

cnf(c_0_6404_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X1),X1,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6404]) ).

cnf(c_0_6405_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6405]) ).

cnf(c_0_6405_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6405]) ).

cnf(c_0_6405_2,axiom,
    ( X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6405]) ).

cnf(c_0_6405_3,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6405]) ).

cnf(c_0_6405_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6405]) ).

cnf(c_0_6406_0,axiom,
    ( c_RealVector_Odist__class_Odist(X1,X1,X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6406]) ).

cnf(c_0_6406_1,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | c_RealVector_Odist__class_Odist(X1,X1,X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6406]) ).

cnf(c_0_6407_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6407]) ).

cnf(c_0_6407_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6407]) ).

cnf(c_0_6408_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6408]) ).

cnf(c_0_6408_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6408]) ).

cnf(c_0_6409_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6409]) ).

cnf(c_0_6409_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2)
    | c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6409]) ).

cnf(c_0_6412_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6412]) ).

cnf(c_0_6412_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6412]) ).

cnf(c_0_6413_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6413]) ).

cnf(c_0_6413_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6413]) ).

cnf(c_0_6414_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6414]) ).

cnf(c_0_6414_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | 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) ),
    inference(literals_permutation,[status(thm)],[c_0_6414]) ).

cnf(c_0_6417_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6417]) ).

cnf(c_0_6417_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6417]) ).

cnf(c_0_6418_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6418]) ).

cnf(c_0_6418_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6418]) ).

cnf(c_0_6419_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6419]) ).

cnf(c_0_6419_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6419]) ).

cnf(c_0_6420_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6420]) ).

cnf(c_0_6420_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6420]) ).

cnf(c_0_6421_0,axiom,
    ( X1 = X2
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6421]) ).

cnf(c_0_6421_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6421]) ).

cnf(c_0_6421_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6421]) ).

cnf(c_0_6421_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6421]) ).

cnf(c_0_6422_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6422]) ).

cnf(c_0_6422_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X2)
    | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6422]) ).

cnf(c_0_6423_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6423]) ).

cnf(c_0_6423_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6423]) ).

cnf(c_0_6425_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6425]) ).

cnf(c_0_6425_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6425]) ).

cnf(c_0_6425_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6425]) ).

cnf(c_0_6426_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6426]) ).

cnf(c_0_6426_1,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6426]) ).

cnf(c_0_6426_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6426]) ).

cnf(c_0_6432_0,axiom,
    ( X1 = X2
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6432]) ).

cnf(c_0_6432_1,axiom,
    ( c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | X1 = X2
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6432]) ).

cnf(c_0_6432_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6432]) ).

cnf(c_0_6433_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6433]) ).

cnf(c_0_6433_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6433]) ).

cnf(c_0_6433_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6433]) ).

cnf(c_0_6434_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6434]) ).

cnf(c_0_6434_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_6434]) ).

cnf(c_0_6434_2,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6434]) ).

cnf(c_0_6435_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6435]) ).

cnf(c_0_6435_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6435]) ).

cnf(c_0_6435_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6435]) ).

cnf(c_0_6437_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6437]) ).

cnf(c_0_6437_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6437]) ).

cnf(c_0_6437_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6437]) ).

cnf(c_0_6437_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Oone__class_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6437]) ).

cnf(c_0_6438_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6438]) ).

cnf(c_0_6438_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6438]) ).

cnf(c_0_6438_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6438]) ).

cnf(c_0_6438_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6438]) ).

cnf(c_0_6439_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6439]) ).

cnf(c_0_6439_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6439]) ).

cnf(c_0_6440_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6440]) ).

cnf(c_0_6440_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6440]) ).

cnf(c_0_6441_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6441]) ).

cnf(c_0_6441_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6441]) ).

cnf(c_0_6442_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6442]) ).

cnf(c_0_6442_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6442]) ).

cnf(c_0_6443_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6443]) ).

cnf(c_0_6443_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_6443]) ).

cnf(c_0_6446_0,axiom,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_6446]) ).

cnf(c_0_6446_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6446]) ).

cnf(c_0_6447_0,axiom,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6447]) ).

cnf(c_0_6447_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6447]) ).

cnf(c_0_6453_0,axiom,
    ( c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6453]) ).

cnf(c_0_6453_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_SEQ_Obanach(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6453]) ).

cnf(c_0_6453_2,axiom,
    ( ~ class_SEQ_Obanach(X2)
    | ~ class_RealVector_Oreal__normed__field(X2)
    | c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6453]) ).

cnf(c_0_6454_0,axiom,
    ( X1 = X2
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6454]) ).

cnf(c_0_6454_1,axiom,
    ( c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6454]) ).

cnf(c_0_6455_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6455]) ).

cnf(c_0_6455_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6455]) ).

cnf(c_0_6455_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6455]) ).

cnf(c_0_6456_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6456]) ).

cnf(c_0_6456_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6456]) ).

cnf(c_0_6456_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6456]) ).

cnf(c_0_6457_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6457]) ).

cnf(c_0_6457_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6457]) ).

cnf(c_0_6457_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6457]) ).

cnf(c_0_6458_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6458]) ).

cnf(c_0_6458_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6458]) ).

cnf(c_0_6458_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6458]) ).

cnf(c_0_6459_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6459]) ).

cnf(c_0_6459_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6459]) ).

cnf(c_0_6459_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6459]) ).

cnf(c_0_6460_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6460]) ).

cnf(c_0_6460_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6460]) ).

cnf(c_0_6460_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6460]) ).

cnf(c_0_6461_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6461]) ).

cnf(c_0_6461_1,axiom,
    ( c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6461]) ).

cnf(c_0_6461_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6461]) ).

cnf(c_0_6462_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6462]) ).

cnf(c_0_6462_1,axiom,
    ( c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6462]) ).

cnf(c_0_6462_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6462]) ).

cnf(c_0_6463_0,axiom,
    ( c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__field(X1)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6463]) ).

cnf(c_0_6463_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X1)
    | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6463]) ).

cnf(c_0_6463_2,axiom,
    ( ~ class_SEQ_Obanach(X1)
    | ~ class_RealVector_Oreal__normed__field(X1)
    | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6463]) ).

cnf(c_0_6464_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6464]) ).

cnf(c_0_6464_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6464]) ).

cnf(c_0_6464_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6464]) ).

cnf(c_0_6465_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6465]) ).

cnf(c_0_6465_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6465]) ).

cnf(c_0_6465_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6465]) ).

cnf(c_0_6466_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6466]) ).

cnf(c_0_6466_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6466]) ).

cnf(c_0_6466_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6466]) ).

cnf(c_0_6467_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6467]) ).

cnf(c_0_6467_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6467]) ).

cnf(c_0_6467_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6467]) ).

cnf(c_0_6468_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6468]) ).

cnf(c_0_6468_1,axiom,
    ( c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6468]) ).

cnf(c_0_6469_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6469]) ).

cnf(c_0_6469_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6469]) ).

cnf(c_0_6470_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6470]) ).

cnf(c_0_6470_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6470]) ).

cnf(c_0_6471_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6471]) ).

cnf(c_0_6471_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6471]) ).

cnf(c_0_6472_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6472]) ).

cnf(c_0_6472_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6472]) ).

cnf(c_0_6473_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6473]) ).

cnf(c_0_6473_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6473]) ).

cnf(c_0_6474_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6474]) ).

cnf(c_0_6474_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6474]) ).

cnf(c_0_6475_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6475]) ).

cnf(c_0_6475_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6475]) ).

cnf(c_0_6476_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6476]) ).

cnf(c_0_6476_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6476]) ).

cnf(c_0_6477_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6477]) ).

cnf(c_0_6477_1,axiom,
    ( ~ class_Ring__and__Field_Osgn__if(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6477]) ).

cnf(c_0_6478_0,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) ),
    inference(literals_permutation,[status(thm)],[c_0_6478]) ).

cnf(c_0_6478_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6478]) ).

cnf(c_0_6479_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6479]) ).

cnf(c_0_6479_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6479]) ).

cnf(c_0_6480_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6480]) ).

cnf(c_0_6480_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6480]) ).

cnf(c_0_6481_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6481]) ).

cnf(c_0_6481_1,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6481]) ).

cnf(c_0_6484_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_6484]) ).

cnf(c_0_6484_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6484]) ).

cnf(c_0_6485_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_6485]) ).

cnf(c_0_6485_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6485]) ).

cnf(c_0_6486_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6486]) ).

cnf(c_0_6486_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6486]) ).

cnf(c_0_6487_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) ),
    inference(literals_permutation,[status(thm)],[c_0_6487]) ).

cnf(c_0_6487_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6487]) ).

cnf(c_0_6488_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6488]) ).

cnf(c_0_6488_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6488]) ).

cnf(c_0_6489_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6489]) ).

cnf(c_0_6489_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6489]) ).

cnf(c_0_6493_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6493]) ).

cnf(c_0_6493_1,axiom,
    ( c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6493]) ).

cnf(c_0_6494_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_Complex_Oii ),
    inference(literals_permutation,[status(thm)],[c_0_6494]) ).

cnf(c_0_6494_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X2,X1) != c_Complex_Oii
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6494]) ).

cnf(c_0_6495_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_Complex_Oii ),
    inference(literals_permutation,[status(thm)],[c_0_6495]) ).

cnf(c_0_6495_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X1,X2) != c_Complex_Oii
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6495]) ).

cnf(c_0_6501_0,axiom,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6501]) ).

cnf(c_0_6501_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6501]) ).

cnf(c_0_6502_0,axiom,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6502]) ).

cnf(c_0_6502_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_6502]) ).

cnf(c_0_6510_0,axiom,
    ( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6510]) ).

cnf(c_0_6510_1,axiom,
    ( c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6510]) ).

cnf(c_0_6511_0,axiom,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_6511]) ).

cnf(c_0_6511_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_6511]) ).

cnf(c_0_6513_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6513]) ).

cnf(c_0_6513_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6513]) ).

cnf(c_0_6514_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6514]) ).

cnf(c_0_6514_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6514]) ).

cnf(c_0_6525_0,axiom,
    ( v_x != c_Transcendental_Opi
    | c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_6525]) ).

cnf(c_0_6525_1,axiom,
    ( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | v_x != c_Transcendental_Opi ),
    inference(literals_permutation,[status(thm)],[c_0_6525]) ).

cnf(c_0_5778_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5778]) ).

cnf(c_0_5856_0,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),
    inference(literals_permutation,[status(thm)],[c_0_5856]) ).

cnf(c_0_6199_0,axiom,
    ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6199]) ).

cnf(c_0_6200_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6200]) ).

cnf(c_0_6322_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6322]) ).

cnf(c_0_6323_0,axiom,
    ~ c_Ring__and__Field_Ozero__neq__one(X1,X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_6323]) ).

cnf(c_0_6328_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6328]) ).

cnf(c_0_6496_0,axiom,
    c_Log_Opowr(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6496]) ).

cnf(c_0_6503_0,axiom,
    c_Transcendental_Ocos(c_Transcendental_Oarctan(X1)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6503]) ).

cnf(c_0_6526_0,axiom,
    c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6526]) ).

cnf(c_0_6530_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Transcendental_Opi,
    inference(literals_permutation,[status(thm)],[c_0_6530]) ).

cnf(c_0_6531_0,axiom,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii,
    inference(literals_permutation,[status(thm)],[c_0_6531]) ).

cnf(c_0_5314_0,axiom,
    c_HOL_Ominus__class_Ominus(hAPP(X1,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X1,X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5314]) ).

cnf(c_0_5315_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5315]) ).

cnf(c_0_5332_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5332]) ).

cnf(c_0_5333_0,axiom,
    c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5333]) ).

cnf(c_0_5434_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5434]) ).

cnf(c_0_5590_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5590]) ).

cnf(c_0_5600_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5600]) ).

cnf(c_0_5601_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5601]) ).

cnf(c_0_5602_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5602]) ).

cnf(c_0_5603_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5603]) ).

cnf(c_0_5604_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5604]) ).

cnf(c_0_5605_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5605]) ).

cnf(c_0_5606_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5606]) ).

cnf(c_0_5639_0,axiom,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5639]) ).

cnf(c_0_5793_0,axiom,
    c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5793]) ).

cnf(c_0_5808_0,axiom,
    c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5808]) ).

cnf(c_0_5809_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),
    inference(literals_permutation,[status(thm)],[c_0_5809]) ).

cnf(c_0_5810_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5810]) ).

cnf(c_0_5839_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5839]) ).

cnf(c_0_5885_0,axiom,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5885]) ).

cnf(c_0_5946_0,axiom,
    c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) = c_Log_Opowr(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5946]) ).

cnf(c_0_5947_0,axiom,
    c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),c_Log_Opowr(X1,X3),tc_RealDef_Oreal) = c_Log_Opowr(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_5947]) ).

cnf(c_0_5966_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_5966]) ).

cnf(c_0_6033_0,axiom,
    c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6033]) ).

cnf(c_0_6078_0,axiom,
    c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_6078]) ).

cnf(c_0_6079_0,axiom,
    c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_6079]) ).

cnf(c_0_6114_0,axiom,
    c_Log_Opowr(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal)) = c_Log_Opowr(c_Log_Opowr(X1,X2),X3),
    inference(literals_permutation,[status(thm)],[c_0_6114]) ).

cnf(c_0_6115_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6115]) ).

cnf(c_0_6116_0,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6116]) ).

cnf(c_0_6171_0,axiom,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6171]) ).

cnf(c_0_6173_0,axiom,
    c_Transcendental_Oexp(c_HOL_Otimes__class_Otimes(X2,c_Transcendental_Oln(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Log_Opowr(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_6173]) ).

cnf(c_0_6193_0,axiom,
    c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6193]) ).

cnf(c_0_6194_0,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6194]) ).

cnf(c_0_6201_0,axiom,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6201]) ).

cnf(c_0_6202_0,axiom,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6202]) ).

cnf(c_0_6203_0,axiom,
    c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6203]) ).

cnf(c_0_6204_0,axiom,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6204]) ).

cnf(c_0_6210_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6210]) ).

cnf(c_0_6216_0,axiom,
    c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) = c_Log_Opowr(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)),
    inference(literals_permutation,[status(thm)],[c_0_6216]) ).

cnf(c_0_6244_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6244]) ).

cnf(c_0_6251_0,axiom,
    c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
    inference(literals_permutation,[status(thm)],[c_0_6251]) ).

cnf(c_0_6264_0,axiom,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6264]) ).

cnf(c_0_6304_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6304]) ).

cnf(c_0_6305_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6305]) ).

cnf(c_0_6314_0,axiom,
    c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6314]) ).

cnf(c_0_6331_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6331]) ).

cnf(c_0_6332_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6332]) ).

cnf(c_0_6337_0,axiom,
    c_Log_Opowr(c_Log_Opowr(X1,X2),X3) = c_Log_Opowr(c_Log_Opowr(X1,X3),X2),
    inference(literals_permutation,[status(thm)],[c_0_6337]) ).

cnf(c_0_6338_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6338]) ).

cnf(c_0_6339_0,axiom,
    c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Log_Olog(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_6339]) ).

cnf(c_0_6340_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6340]) ).

cnf(c_0_6344_0,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6344]) ).

cnf(c_0_6348_0,axiom,
    c_Log_Opowr(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_Log_Opowr(X1,X2),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6348]) ).

cnf(c_0_6378_0,axiom,
    c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_Transcendental_Otan(X1),
    inference(literals_permutation,[status(thm)],[c_0_6378]) ).

cnf(c_0_6403_0,axiom,
    c_RealVector_Onorm__class_Onorm(c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6403]) ).

cnf(c_0_6410_0,axiom,
    c_lessequals(c_Transcendental_Osin(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6410]) ).

cnf(c_0_6411_0,axiom,
    c_lessequals(c_Transcendental_Ocos(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6411]) ).

cnf(c_0_6415_0,axiom,
    c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(v_x),c_Transcendental_Ocos(v_x),tc_RealDef_Oreal) = c_Transcendental_Otan(v_x),
    inference(literals_permutation,[status(thm)],[c_0_6415]) ).

cnf(c_0_6416_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6416]) ).

cnf(c_0_6424_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6424]) ).

cnf(c_0_6427_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6427]) ).

cnf(c_0_6428_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6428]) ).

cnf(c_0_6429_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6429]) ).

cnf(c_0_6430_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6430]) ).

cnf(c_0_6431_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6431]) ).

cnf(c_0_6436_0,axiom,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6436]) ).

cnf(c_0_6444_0,axiom,
    c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X1,tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6444]) ).

cnf(c_0_6445_0,axiom,
    c_Log_Olog(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1) = c_Transcendental_Oln(X1),
    inference(literals_permutation,[status(thm)],[c_0_6445]) ).

cnf(c_0_6448_0,axiom,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6448]) ).

cnf(c_0_6449_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6449]) ).

cnf(c_0_6450_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6450]) ).

cnf(c_0_6451_0,axiom,
    c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6451]) ).

cnf(c_0_6452_0,axiom,
    c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X1),tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6452]) ).

cnf(c_0_6482_0,axiom,
    c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
    inference(literals_permutation,[status(thm)],[c_0_6482]) ).

cnf(c_0_6483_0,axiom,
    c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X1)) = c_Complex_Ocis(X1),
    inference(literals_permutation,[status(thm)],[c_0_6483]) ).

cnf(c_0_6490_0,axiom,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6490]) ).

cnf(c_0_6491_0,axiom,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6491]) ).

cnf(c_0_6492_0,axiom,
    c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal)) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6492]) ).

cnf(c_0_6497_0,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6497]) ).

cnf(c_0_6498_0,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6498]) ).

cnf(c_0_6499_0,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    inference(literals_permutation,[status(thm)],[c_0_6499]) ).

cnf(c_0_6500_0,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_Complex_Oii,
    inference(literals_permutation,[status(thm)],[c_0_6500]) ).

cnf(c_0_6504_0,axiom,
    c_Log_Olog(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6504]) ).

cnf(c_0_6505_0,axiom,
    c_Log_Opowr(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6505]) ).

cnf(c_0_6506_0,axiom,
    c_Log_Opowr(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6506]) ).

cnf(c_0_6507_0,axiom,
    c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6507]) ).

cnf(c_0_6508_0,axiom,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6508]) ).

cnf(c_0_6509_0,axiom,
    c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6509]) ).

cnf(c_0_6512_0,axiom,
    c_Fun_Oid(X1,X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6512]) ).

cnf(c_0_6515_0,axiom,
    c_Fun_Oid(v_x,t_a) = v_x,
    inference(literals_permutation,[status(thm)],[c_0_6515]) ).

cnf(c_0_6516_0,axiom,
    c_Transcendental_Otan(c_Transcendental_Oarctan(X1)) = X1,
    inference(literals_permutation,[status(thm)],[c_0_6516]) ).

cnf(c_0_6517_0,axiom,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6517]) ).

cnf(c_0_6518_0,axiom,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6518]) ).

cnf(c_0_6519_0,axiom,
    c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6519]) ).

cnf(c_0_6520_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6520]) ).

cnf(c_0_6521_0,axiom,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6521]) ).

cnf(c_0_6522_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6522]) ).

cnf(c_0_6523_0,axiom,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6523]) ).

cnf(c_0_6524_0,axiom,
    c_Complex_Ocis(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6524]) ).

cnf(c_0_6527_0,axiom,
    c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6527]) ).

cnf(c_0_6528_0,axiom,
    c_Transcendental_Ocos(c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6528]) ).

cnf(c_0_6529_0,axiom,
    c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6529]) ).

cnf(c_0_6532_0,axiom,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6532]) ).

cnf(c_0_6533_0,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6533]) ).

cnf(c_0_6534_0,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6534]) ).

cnf(c_0_6535_0,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6535]) ).

cnf(c_0_6536_0,axiom,
    class_RealVector_Odist__norm(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6536]) ).

cnf(c_0_6537_0,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6537]) ).

cnf(c_0_6538_0,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6538]) ).

cnf(c_0_6539_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6539]) ).

cnf(c_0_6540_0,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6540]) ).

cnf(c_0_6541_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6541]) ).

cnf(c_0_6542_0,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6542]) ).

cnf(c_0_6543_0,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6543]) ).

cnf(c_0_6544_0,axiom,
    class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6544]) ).

cnf(c_0_6545_0,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6545]) ).

cnf(c_0_6546_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6546]) ).

cnf(c_0_6547_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6547]) ).

cnf(c_0_6548_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6548]) ).

cnf(c_0_6549_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6549]) ).

cnf(c_0_6550_0,axiom,
    class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6550]) ).

cnf(c_0_6551_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6551]) ).

cnf(c_0_6552_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6552]) ).

cnf(c_0_6553_0,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6553]) ).

cnf(c_0_6554_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6554]) ).

cnf(c_0_6555_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6555]) ).

cnf(c_0_6556_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6556]) ).

cnf(c_0_6557_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6557]) ).

cnf(c_0_6558_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6558]) ).

cnf(c_0_6559_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6559]) ).

cnf(c_0_6560_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6560]) ).

cnf(c_0_6561_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6561]) ).

cnf(c_0_6562_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6562]) ).

cnf(c_0_6563_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6563]) ).

cnf(c_0_6564_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6564]) ).

cnf(c_0_6565_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6565]) ).

cnf(c_0_6566_0,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6566]) ).

cnf(c_0_6567_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6567]) ).

cnf(c_0_6568_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    inference(literals_permutation,[status(thm)],[c_0_6568]) ).

cnf(c_0_6569_0,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6569]) ).

cnf(c_0_6570_0,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6570]) ).

cnf(c_0_6571_0,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6571]) ).

cnf(c_0_6572_0,axiom,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6572]) ).

cnf(c_0_6573_0,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6573]) ).

cnf(c_0_6574_0,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6574]) ).

cnf(c_0_6575_0,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6575]) ).

cnf(c_0_6576_0,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6576]) ).

cnf(c_0_6577_0,axiom,
    class_RealVector_Odist__norm(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6577]) ).

cnf(c_0_6578_0,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6578]) ).

cnf(c_0_6579_0,axiom,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6579]) ).

cnf(c_0_6580_0,axiom,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6580]) ).

cnf(c_0_6581_0,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6581]) ).

cnf(c_0_6582_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6582]) ).

cnf(c_0_6583_0,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6583]) ).

cnf(c_0_6584_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6584]) ).

cnf(c_0_6585_0,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6585]) ).

cnf(c_0_6586_0,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6586]) ).

cnf(c_0_6587_0,axiom,
    class_RealVector_Osgn__div__norm(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6587]) ).

cnf(c_0_6588_0,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6588]) ).

cnf(c_0_6589_0,axiom,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6589]) ).

cnf(c_0_6590_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6590]) ).

cnf(c_0_6591_0,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6591]) ).

cnf(c_0_6592_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6592]) ).

cnf(c_0_6593_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6593]) ).

cnf(c_0_6594_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6594]) ).

cnf(c_0_6595_0,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6595]) ).

cnf(c_0_6596_0,axiom,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6596]) ).

cnf(c_0_6597_0,axiom,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6597]) ).

cnf(c_0_6598_0,axiom,
    class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6598]) ).

cnf(c_0_6599_0,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6599]) ).

cnf(c_0_6600_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6600]) ).

cnf(c_0_6601_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6601]) ).

cnf(c_0_6602_0,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6602]) ).

cnf(c_0_6603_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6603]) ).

cnf(c_0_6604_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6604]) ).

cnf(c_0_6605_0,axiom,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6605]) ).

cnf(c_0_6606_0,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6606]) ).

cnf(c_0_6607_0,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6607]) ).

cnf(c_0_6608_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6608]) ).

cnf(c_0_6609_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6609]) ).

cnf(c_0_6610_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6610]) ).

cnf(c_0_6611_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6611]) ).

cnf(c_0_6612_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6612]) ).

cnf(c_0_6613_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6613]) ).

cnf(c_0_6614_0,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6614]) ).

cnf(c_0_6615_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6615]) ).

cnf(c_0_6616_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6616]) ).

cnf(c_0_6617_0,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6617]) ).

cnf(c_0_6618_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6618]) ).

cnf(c_0_6619_0,axiom,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6619]) ).

cnf(c_0_6620_0,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6620]) ).

cnf(c_0_6621_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6621]) ).

cnf(c_0_6622_0,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6622]) ).

cnf(c_0_6623_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6623]) ).

cnf(c_0_6624_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6624]) ).

cnf(c_0_6625_0,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6625]) ).

cnf(c_0_6626_0,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6626]) ).

cnf(c_0_6627_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6627]) ).

cnf(c_0_6628_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6628]) ).

cnf(c_0_6629_0,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6629]) ).

cnf(c_0_6630_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6630]) ).

cnf(c_0_6631_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6631]) ).

cnf(c_0_6632_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6632]) ).

cnf(c_0_6633_0,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6633]) ).

cnf(c_0_6634_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6634]) ).

cnf(c_0_6635_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6635]) ).

cnf(c_0_6636_0,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6636]) ).

cnf(c_0_6637_0,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6637]) ).

cnf(c_0_6638_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6638]) ).

cnf(c_0_6639_0,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(literals_permutation,[status(thm)],[c_0_6639]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_1_002,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_2_003,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_0 ).

fof(c_0_3_004,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_1 ).

fof(c_0_4_005,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_2 ).

fof(c_0_5_006,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    c_0_3 ).

cnf(c_0_6_007,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_009,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_6,
    [final] ).

cnf(c_0_9_010,negated_conjecture,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x),
    c_0_7,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_3577,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_8) ).

cnf(c_4540,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_3577]) ).

cnf(c_4548,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_4540]) ).

cnf(c_4551,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_4548]) ).

cnf(c_4552,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_4551]) ).

cnf(c_15212,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_4552]) ).

cnf(c_230,plain,
    ( c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_6510_1) ).

cnf(c_8518,plain,
    ( c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(copy,[status(esa)],[c_230]) ).

cnf(c_8519,plain,
    ( c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rewriting,[status(thm)],[c_8518]) ).

cnf(c_15220,plain,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[c_15212,c_8519]) ).

cnf(c_15221,plain,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rewriting,[status(thm)],[c_15220]) ).

cnf(c_2882,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_5503_2) ).

cnf(c_13822,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(copy,[status(esa)],[c_2882]) ).

cnf(c_15227,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_15221,c_13822]) ).

cnf(c_15228,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(rewriting,[status(thm)],[c_15227]) ).

cnf(c_190,plain,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_5885_0) ).

cnf(c_8450,plain,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_190]) ).

cnf(c_1122,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_6075_2) ).

cnf(c_10302,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(copy,[status(esa)],[c_1122]) ).

cnf(c_15226,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_15221,c_10302]) ).

cnf(c_15229,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference(rewriting,[status(thm)],[c_15226]) ).

cnf(c_148,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_6428_0) ).

cnf(c_8393,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_148]) ).

cnf(c_15240,plain,
    ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[status(thm)],[c_15229,c_8393]) ).

cnf(c_15241,plain,
    ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
    inference(rewriting,[status(thm)],[c_15240]) ).

cnf(c_816,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_HOL_Oord__class_Oless(X1,X2,X0)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_6215_1) ).

cnf(c_9690,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_HOL_Oord__class_Oless(X1,X2,X0)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_816]) ).

cnf(c_9691,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_HOL_Oord__class_Oless(X1,X2,X0)
    | c_HOL_Oord__class_Oless(X2,X1,X0)
    | X2 = X1 ),
    inference(rewriting,[status(thm)],[c_9690]) ).

cnf(c_15243,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | v_x = c_Transcendental_Opi ),
    inference(resolution,[status(thm)],[c_15241,c_9691]) ).

cnf(c_15244,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
    | v_x = c_Transcendental_Opi ),
    inference(rewriting,[status(thm)],[c_15243]) ).

cnf(c_222,plain,
    ( v_x != c_Transcendental_Opi
    | c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_6525_1) ).

cnf(c_8502,plain,
    ( v_x != c_Transcendental_Opi
    | c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(copy,[status(esa)],[c_222]) ).

cnf(c_8503,plain,
    ( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | v_x != c_Transcendental_Opi ),
    inference(rewriting,[status(thm)],[c_8502]) ).

cnf(c_15218,plain,
    v_x != c_Transcendental_Opi,
    inference(backward_subsumption_resolution,[status(thm)],[c_15212,c_8503]) ).

cnf(c_15219,plain,
    v_x != c_Transcendental_Opi,
    inference(rewriting,[status(thm)],[c_15218]) ).

cnf(c_40,plain,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p',c_0_6599_0) ).

cnf(c_8213,plain,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_40]) ).

cnf(c_15268,plain,
    c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[status(thm)],[c_15244,c_15219,c_8213]) ).

cnf(c_15269,plain,
    c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal),
    inference(rewriting,[status(thm)],[c_15268]) ).

cnf(c_15809,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_15228,c_8450,c_15269]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SWV598-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 02:01:58 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.48/0.66  % Orienting using strategy Equiv(ClausalAll)
% 0.48/0.66  % Orientation found
% 0.48/0.66  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_25226c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_543590.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_53a506 | grep -v "SZS"
% 0.53/0.69  
% 0.53/0.69  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.53/0.69  
% 0.53/0.69  % 
% 0.53/0.69  % ------  iProver source info 
% 0.53/0.69  
% 0.53/0.69  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.53/0.69  % git: non_committed_changes: true
% 0.53/0.69  % git: last_make_outside_of_git: true
% 0.53/0.69  
% 0.53/0.69  % 
% 0.53/0.69  % ------ Input Options
% 0.53/0.69  
% 0.53/0.69  % --out_options                         all
% 0.53/0.69  % --tptp_safe_out                       true
% 0.53/0.69  % --problem_path                        ""
% 0.53/0.69  % --include_path                        ""
% 0.53/0.69  % --clausifier                          .//eprover
% 0.53/0.69  % --clausifier_options                  --tstp-format  
% 0.53/0.69  % --stdin                               false
% 0.53/0.69  % --dbg_backtrace                       false
% 0.53/0.69  % --dbg_dump_prop_clauses               false
% 0.53/0.69  % --dbg_dump_prop_clauses_file          -
% 0.53/0.69  % --dbg_out_stat                        false
% 0.53/0.69  
% 0.53/0.69  % ------ General Options
% 0.53/0.69  
% 0.53/0.69  % --fof                                 false
% 0.53/0.69  % --time_out_real                       150.
% 0.53/0.69  % --time_out_prep_mult                  0.2
% 0.53/0.69  % --time_out_virtual                    -1.
% 0.53/0.69  % --schedule                            none
% 0.53/0.69  % --ground_splitting                    input
% 0.53/0.69  % --splitting_nvd                       16
% 0.53/0.69  % --non_eq_to_eq                        false
% 0.53/0.69  % --prep_gs_sim                         true
% 0.53/0.69  % --prep_unflatten                      false
% 0.53/0.69  % --prep_res_sim                        true
% 0.53/0.69  % --prep_upred                          true
% 0.53/0.69  % --res_sim_input                       true
% 0.53/0.69  % --clause_weak_htbl                    true
% 0.53/0.69  % --gc_record_bc_elim                   false
% 0.53/0.69  % --symbol_type_check                   false
% 0.53/0.69  % --clausify_out                        false
% 0.53/0.69  % --large_theory_mode                   false
% 0.53/0.69  % --prep_sem_filter                     none
% 0.53/0.69  % --prep_sem_filter_out                 false
% 0.53/0.69  % --preprocessed_out                    false
% 0.53/0.69  % --sub_typing                          false
% 0.53/0.69  % --brand_transform                     false
% 0.53/0.69  % --pure_diseq_elim                     true
% 0.53/0.69  % --min_unsat_core                      false
% 0.53/0.69  % --pred_elim                           true
% 0.53/0.69  % --add_important_lit                   false
% 0.53/0.69  % --soft_assumptions                    false
% 0.53/0.69  % --reset_solvers                       false
% 0.53/0.69  % --bc_imp_inh                          []
% 0.53/0.69  % --conj_cone_tolerance                 1.5
% 0.53/0.69  % --prolific_symb_bound                 500
% 0.53/0.69  % --lt_threshold                        2000
% 0.53/0.69  
% 0.53/0.69  % ------ SAT Options
% 0.53/0.69  
% 0.53/0.69  % --sat_mode                            false
% 0.53/0.69  % --sat_fm_restart_options              ""
% 0.53/0.69  % --sat_gr_def                          false
% 0.53/0.69  % --sat_epr_types                       true
% 0.53/0.69  % --sat_non_cyclic_types                false
% 0.53/0.69  % --sat_finite_models                   false
% 0.53/0.69  % --sat_fm_lemmas                       false
% 0.53/0.69  % --sat_fm_prep                         false
% 0.53/0.69  % --sat_fm_uc_incr                      true
% 0.53/0.69  % --sat_out_model                       small
% 0.53/0.69  % --sat_out_clauses                     false
% 0.53/0.69  
% 0.53/0.69  % ------ QBF Options
% 0.53/0.69  
% 0.53/0.69  % --qbf_mode                            false
% 0.53/0.69  % --qbf_elim_univ                       true
% 0.53/0.69  % --qbf_sk_in                           true
% 0.53/0.69  % --qbf_pred_elim                       true
% 0.53/0.69  % --qbf_split                           32
% 0.53/0.69  
% 0.53/0.69  % ------ BMC1 Options
% 0.53/0.69  
% 0.53/0.69  % --bmc1_incremental                    false
% 0.53/0.69  % --bmc1_axioms                         reachable_all
% 0.53/0.69  % --bmc1_min_bound                      0
% 0.53/0.69  % --bmc1_max_bound                      -1
% 0.53/0.69  % --bmc1_max_bound_default              -1
% 0.53/0.69  % --bmc1_symbol_reachability            true
% 0.53/0.69  % --bmc1_property_lemmas                false
% 0.53/0.69  % --bmc1_k_induction                    false
% 0.53/0.69  % --bmc1_non_equiv_states               false
% 0.53/0.69  % --bmc1_deadlock                       false
% 0.53/0.69  % --bmc1_ucm                            false
% 0.53/0.69  % --bmc1_add_unsat_core                 none
% 0.53/0.69  % --bmc1_unsat_core_children            false
% 0.53/0.69  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.53/0.69  % --bmc1_out_stat                       full
% 0.53/0.69  % --bmc1_ground_init                    false
% 0.53/0.69  % --bmc1_pre_inst_next_state            false
% 0.53/0.69  % --bmc1_pre_inst_state                 false
% 0.53/0.69  % --bmc1_pre_inst_reach_state           false
% 0.53/0.69  % --bmc1_out_unsat_core                 false
% 0.53/0.69  % --bmc1_aig_witness_out                false
% 0.53/0.69  % --bmc1_verbose                        false
% 0.53/0.69  % --bmc1_dump_clauses_tptp              false
% 4.65/5.70  % --bmc1_dump_unsat_core_tptp           false
% 4.65/5.70  % --bmc1_dump_file                      -
% 4.65/5.70  % --bmc1_ucm_expand_uc_limit            128
% 4.65/5.70  % --bmc1_ucm_n_expand_iterations        6
% 4.65/5.70  % --bmc1_ucm_extend_mode                1
% 4.65/5.70  % --bmc1_ucm_init_mode                  2
% 4.65/5.70  % --bmc1_ucm_cone_mode                  none
% 4.65/5.70  % --bmc1_ucm_reduced_relation_type      0
% 4.65/5.70  % --bmc1_ucm_relax_model                4
% 4.65/5.70  % --bmc1_ucm_full_tr_after_sat          true
% 4.65/5.70  % --bmc1_ucm_expand_neg_assumptions     false
% 4.65/5.70  % --bmc1_ucm_layered_model              none
% 4.65/5.70  % --bmc1_ucm_max_lemma_size             10
% 4.65/5.70  
% 4.65/5.70  % ------ AIG Options
% 4.65/5.70  
% 4.65/5.70  % --aig_mode                            false
% 4.65/5.70  
% 4.65/5.70  % ------ Instantiation Options
% 4.65/5.70  
% 4.65/5.70  % --instantiation_flag                  true
% 4.65/5.70  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 4.65/5.70  % --inst_solver_per_active              750
% 4.65/5.70  % --inst_solver_calls_frac              0.5
% 4.65/5.70  % --inst_passive_queue_type             priority_queues
% 4.65/5.70  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.65/5.70  % --inst_passive_queues_freq            [25;2]
% 4.65/5.70  % --inst_dismatching                    true
% 4.65/5.70  % --inst_eager_unprocessed_to_passive   true
% 4.65/5.70  % --inst_prop_sim_given                 true
% 4.65/5.70  % --inst_prop_sim_new                   false
% 4.65/5.70  % --inst_orphan_elimination             true
% 4.65/5.70  % --inst_learning_loop_flag             true
% 4.65/5.70  % --inst_learning_start                 3000
% 4.65/5.70  % --inst_learning_factor                2
% 4.65/5.70  % --inst_start_prop_sim_after_learn     3
% 4.65/5.70  % --inst_sel_renew                      solver
% 4.65/5.70  % --inst_lit_activity_flag              true
% 4.65/5.70  % --inst_out_proof                      true
% 4.65/5.70  
% 4.65/5.70  % ------ Resolution Options
% 4.65/5.70  
% 4.65/5.70  % --resolution_flag                     true
% 4.65/5.70  % --res_lit_sel                         kbo_max
% 4.65/5.70  % --res_to_prop_solver                  none
% 4.65/5.70  % --res_prop_simpl_new                  false
% 4.65/5.70  % --res_prop_simpl_given                false
% 4.65/5.70  % --res_passive_queue_type              priority_queues
% 4.65/5.70  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.65/5.70  % --res_passive_queues_freq             [15;5]
% 4.65/5.70  % --res_forward_subs                    full
% 4.65/5.70  % --res_backward_subs                   full
% 4.65/5.70  % --res_forward_subs_resolution         true
% 4.65/5.70  % --res_backward_subs_resolution        true
% 4.65/5.70  % --res_orphan_elimination              false
% 4.65/5.70  % --res_time_limit                      1000.
% 4.65/5.70  % --res_out_proof                       true
% 4.65/5.70  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_25226c.s
% 4.65/5.70  % --modulo                              true
% 4.65/5.70  
% 4.65/5.70  % ------ Combination Options
% 4.65/5.70  
% 4.65/5.70  % --comb_res_mult                       1000
% 4.65/5.70  % --comb_inst_mult                      300
% 4.65/5.70  % ------ 
% 4.65/5.70  
% 4.65/5.70  % ------ Parsing...% successful
% 4.65/5.70  
% 4.65/5.70  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 4.65/5.70  
% 4.65/5.70  % ------ Proving...
% 4.65/5.70  % ------ Problem Properties 
% 4.65/5.70  
% 4.65/5.70  % 
% 4.65/5.70  % EPR                                   false
% 4.65/5.70  % Horn                                  false
% 4.65/5.70  % Has equality                          true
% 4.65/5.70  
% 4.65/5.70  % % ------ Input Options Time Limit: Unbounded
% 4.65/5.70  
% 4.65/5.70  
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  Compiling...
% 4.65/5.70  Loading plugin: done.
% 4.65/5.70  % % ------ Current options:
% 4.65/5.70  
% 4.65/5.70  % ------ Input Options
% 4.65/5.70  
% 4.65/5.70  % --out_options                         all
% 4.65/5.70  % --tptp_safe_out                       true
% 4.65/5.70  % --problem_path                        ""
% 4.65/5.70  % --include_path                        ""
% 4.65/5.70  % --clausifier                          .//eprover
% 4.65/5.70  % --clausifier_options                  --tstp-format  
% 4.65/5.70  % --stdin                               false
% 4.65/5.70  % --dbg_backtrace                       false
% 4.65/5.70  % --dbg_dump_prop_clauses               false
% 4.65/5.70  % --dbg_dump_prop_clauses_file          -
% 4.65/5.70  % --dbg_out_stat                        false
% 4.65/5.70  
% 4.65/5.70  % ------ General Options
% 4.65/5.70  
% 4.65/5.70  % --fof                                 false
% 4.65/5.70  % --time_out_real                       150.
% 4.65/5.70  % --time_out_prep_mult                  0.2
% 4.65/5.70  % --time_out_virtual                    -1.
% 4.65/5.70  % --schedule                            none
% 4.65/5.70  % --ground_splitting                    input
% 4.65/5.70  % --splitting_nvd                       16
% 4.65/5.70  % --non_eq_to_eq                        false
% 4.65/5.70  % --prep_gs_sim                         true
% 4.65/5.70  % --prep_unflatten                      false
% 4.65/5.70  % --prep_res_sim                        true
% 4.65/5.70  % --prep_upred                          true
% 4.65/5.70  % --res_sim_input                       true
% 4.65/5.70  % --clause_weak_htbl                    true
% 4.65/5.70  % --gc_record_bc_elim                   false
% 4.65/5.70  % --symbol_type_check                   false
% 4.65/5.70  % --clausify_out                        false
% 4.65/5.70  % --large_theory_mode                   false
% 4.65/5.70  % --prep_sem_filter                     none
% 4.65/5.70  % --prep_sem_filter_out                 false
% 4.65/5.70  % --preprocessed_out                    false
% 4.65/5.70  % --sub_typing                          false
% 4.65/5.70  % --brand_transform                     false
% 4.65/5.70  % --pure_diseq_elim                     true
% 4.65/5.70  % --min_unsat_core                      false
% 4.65/5.70  % --pred_elim                           true
% 4.65/5.70  % --add_important_lit                   false
% 4.65/5.70  % --soft_assumptions                    false
% 4.65/5.70  % --reset_solvers                       false
% 4.65/5.70  % --bc_imp_inh                          []
% 4.65/5.70  % --conj_cone_tolerance                 1.5
% 4.65/5.70  % --prolific_symb_bound                 500
% 4.65/5.70  % --lt_threshold                        2000
% 4.65/5.70  
% 4.65/5.70  % ------ SAT Options
% 4.65/5.70  
% 4.65/5.70  % --sat_mode                            false
% 4.65/5.70  % --sat_fm_restart_options              ""
% 4.65/5.70  % --sat_gr_def                          false
% 4.65/5.70  % --sat_epr_types                       true
% 4.65/5.70  % --sat_non_cyclic_types                false
% 4.65/5.70  % --sat_finite_models                   false
% 4.65/5.70  % --sat_fm_lemmas                       false
% 4.65/5.70  % --sat_fm_prep                         false
% 4.65/5.70  % --sat_fm_uc_incr                      true
% 4.65/5.70  % --sat_out_model                       small
% 4.65/5.70  % --sat_out_clauses                     false
% 4.65/5.70  
% 4.65/5.70  % ------ QBF Options
% 4.65/5.70  
% 4.65/5.70  % --qbf_mode                            false
% 4.65/5.70  % --qbf_elim_univ                       true
% 4.65/5.70  % --qbf_sk_in                           true
% 4.65/5.70  % --qbf_pred_elim                       true
% 4.65/5.70  % --qbf_split                           32
% 4.65/5.70  
% 4.65/5.70  % ------ BMC1 Options
% 4.65/5.70  
% 4.65/5.70  % --bmc1_incremental                    false
% 4.65/5.70  % --bmc1_axioms                         reachable_all
% 4.65/5.70  % --bmc1_min_bound                      0
% 4.65/5.70  % --bmc1_max_bound                      -1
% 4.65/5.70  % --bmc1_max_bound_default              -1
% 4.65/5.70  % --bmc1_symbol_reachability            true
% 4.65/5.70  % --bmc1_property_lemmas                false
% 4.65/5.70  % --bmc1_k_induction                    false
% 4.65/5.70  % --bmc1_non_equiv_states               false
% 4.65/5.70  % --bmc1_deadlock                       false
% 4.65/5.70  % --bmc1_ucm                            false
% 4.65/5.70  % --bmc1_add_unsat_core                 none
% 4.65/5.70  % --bmc1_unsat_core_children            false
% 4.65/5.70  % --bmc1_unsat_core_extrapolate_axioms  false
% 4.65/5.70  % --bmc1_out_stat                       full
% 4.65/5.70  % --bmc1_ground_init                    false
% 4.65/5.70  % --bmc1_pre_inst_next_state            false
% 4.65/5.70  % --bmc1_pre_inst_state                 false
% 4.65/5.70  % --bmc1_pre_inst_reach_state           false
% 4.65/5.70  % --bmc1_out_unsat_core                 false
% 4.65/5.70  % --bmc1_aig_witness_out                false
% 4.65/5.70  % --bmc1_verbose                        false
% 4.65/5.70  % --bmc1_dump_clauses_tptp              false
% 4.65/5.70  % --bmc1_dump_unsat_core_tptp           false
% 4.65/5.70  % --bmc1_dump_file                      -
% 4.65/5.70  % --bmc1_ucm_expand_uc_limit            128
% 4.65/5.70  % --bmc1_ucm_n_expand_iterations        6
% 4.65/5.70  % --bmc1_ucm_extend_mode                1
% 4.65/5.70  % --bmc1_ucm_init_mode                  2
% 4.65/5.70  % --bmc1_ucm_cone_mode                  none
% 4.65/5.70  % --bmc1_ucm_reduced_relation_type      0
% 4.65/5.70  % --bmc1_ucm_relax_model                4
% 4.65/5.70  % --bmc1_ucm_full_tr_after_sat          true
% 4.65/5.70  % --bmc1_ucm_expand_neg_assumptions     false
% 4.65/5.70  % --bmc1_ucm_layered_model              none
% 4.65/5.70  % --bmc1_ucm_max_lemma_size             10
% 4.65/5.70  
% 4.65/5.70  % ------ AIG Options
% 4.65/5.70  
% 4.65/5.70  % --aig_mode                            false
% 4.65/5.70  
% 4.65/5.70  % ------ Instantiation Options
% 4.65/5.70  
% 4.65/5.70  % --instantiation_flag                  true
% 4.65/5.70  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 4.65/5.70  % --inst_solver_per_active              750
% 4.65/5.70  % --inst_solver_calls_frac              0.5
% 4.65/5.70  % --inst_passive_queue_type             priority_queues
% 4.65/5.70  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.65/5.70  % --inst_passive_queues_freq            [25;2]
% 4.65/5.70  % --inst_dismatching                    true
% 4.65/5.70  % --inst_eager_unprocessed_to_passive   true
% 4.65/5.70  % --inst_prop_sim_given                 true
% 4.65/5.70  % --inst_prop_sim_new                   false
% 4.65/5.70  % --inst_orphan_elimination             true
% 4.65/5.70  % --inst_learning_loop_flag             true
% 4.65/5.70  % --inst_learning_start                 3000
% 4.65/5.70  % --inst_learning_factor                2
% 4.65/5.70  % --inst_start_prop_sim_after_learn     3
% 4.65/5.70  % --inst_sel_renew                      solver
% 4.65/5.70  % --inst_lit_activity_flag              true
% 4.65/5.70  % --inst_out_proof                      true
% 4.65/5.70  
% 4.65/5.70  % ------ Resolution Options
% 4.65/5.70  
% 4.65/5.70  % --resolution_flag                     true
% 4.65/5.70  % --res_lit_sel                         kbo_max
% 4.65/5.70  % --res_to_prop_solver                  none
% 4.65/5.70  % --res_prop_simpl_new                  false
% 4.65/5.70  % --res_prop_simpl_given                false
% 4.65/5.70  % --res_passive_queue_type              priority_queues
% 4.65/5.70  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.65/5.70  % --res_passive_queues_freq             [15;5]
% 4.65/5.70  % --res_forward_subs                    full
% 4.65/5.70  % --res_backward_subs                   full
% 4.65/5.70  % --res_forward_subs_resolution         true
% 4.65/5.70  % --res_backward_subs_resolution        true
% 4.65/5.70  % --res_orphan_elimination              false
% 4.65/5.70  % --res_time_limit                      1000.
% 4.65/5.70  % --res_out_proof                       true
% 4.65/5.70  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_25226c.s
% 4.65/5.70  % --modulo                              true
% 4.65/5.70  
% 4.65/5.70  % ------ Combination Options
% 4.65/5.70  
% 4.65/5.70  % --comb_res_mult                       1000
% 4.65/5.70  % --comb_inst_mult                      300
% 4.65/5.70  % ------ 
% 4.65/5.70  
% 4.65/5.70  
% 4.65/5.70  
% 4.65/5.70  % ------ Proving...
% 4.65/5.70  % warning:  shown sat in sat incomplete mode 
% 4.65/5.70  % 
% 4.65/5.70  
% 4.65/5.70  
% 4.65/5.70  
% 4.65/5.70  
% 4.65/5.70  cnf(c_3286,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5497_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14567,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_3286]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14568,plain,
% 4.65/5.70      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_14567]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_3251,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5485_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14497,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_3251]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14498,plain,
% 4.65/5.70      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | c_Transcendental_Oexp(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_14497]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_3176,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.65/5.70      | X1 = X2
% 4.65/5.70      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5455_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14347,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.65/5.70      | X1 = X2
% 4.65/5.70      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_3176]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14348,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.65/5.70      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | X1 = X2 ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_14347]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_3070,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5404_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14135,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_3070]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14136,plain,
% 4.65/5.70      ( ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_14135]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_3061,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5400_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14117,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.65/5.70      inference(copy,[status(esa)],[c_3061]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14118,plain,
% 4.65/5.70      ( ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_14117]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_3033,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 4.65/5.70      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 4.65/5.70      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5389_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14061,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 4.65/5.70      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 4.65/5.70      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_3033]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14062,plain,
% 4.65/5.70      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.70      | ~ class_Ring__and__Field_Oabs__if(X1)
% 4.65/5.70      | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_14061]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_3005,plain,
% 4.65/5.70      ( c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.65/5.70      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5377_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14005,plain,
% 4.65/5.70      ( c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.65/5.70      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_3005]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_14006,plain,
% 4.65/5.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_14005]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2996,plain,
% 4.65/5.70      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.70      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.65/5.70      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 4.65/5.70      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5374_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13987,plain,
% 4.65/5.70      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.70      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.65/5.70      | c_HOL_Oabs__class_Oabs(X1,X0) = X1
% 4.65/5.70      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2996]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13988,plain,
% 4.65/5.70      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.70      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 4.65/5.70      | ~ class_Orderings_Olinorder(X1)
% 4.65/5.70      | c_HOL_Oabs__class_Oabs(X0,X1) = X0 ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13987]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2987,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5371_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13969,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2987]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13970,plain,
% 4.65/5.70      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13969]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2973,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != X1
% 4.65/5.70      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5365_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13941,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != X1
% 4.65/5.70      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2973]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13942,plain,
% 4.65/5.70      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.70      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) != X0 ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13941]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2970,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1
% 4.65/5.70      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5364_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13935,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1
% 4.65/5.70      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2970]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13936,plain,
% 4.65/5.70      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.70      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != X1 ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13935]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2946,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5354_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13887,plain,
% 4.65/5.70      ( ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2946]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13888,plain,
% 4.65/5.70      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.65/5.70      | ~ class_SEQ_Obanach(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(X1,X0),X0) = c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13887]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2943,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5353_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13881,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2943]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13882,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 4.65/5.70      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13881]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2934,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.70      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 4.65/5.70      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5350_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13863,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.70      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 4.65/5.70      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2934]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13864,plain,
% 4.65/5.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.70      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Oone__class_Oone(X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13863]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2931,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5349_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13857,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2931]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13858,plain,
% 4.65/5.70      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.70      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) != c_HOL_Ozero__class_Ozero(X1) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13857]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2928,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5348_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13851,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2928]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13852,plain,
% 4.65/5.70      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.70      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13851]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2894,plain,
% 4.65/5.70      ( c_Transcendental_Oln(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/5.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5335_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13783,plain,
% 4.65/5.70      ( c_Transcendental_Oln(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/5.70      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2894]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13784,plain,
% 4.65/5.70      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | c_Transcendental_Oln(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13783]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2891,plain,
% 4.65/5.70      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/5.70      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5334_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13777,plain,
% 4.65/5.70      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/5.70      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2891]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13778,plain,
% 4.65/5.70      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.70      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.65/5.70      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13777]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2870,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 4.65/5.70      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5326_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13735,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 4.65/5.70      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2870]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13736,plain,
% 4.65/5.70      ( ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != X1
% 4.65/5.70      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13735]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2863,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 4.65/5.70      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 4.65/5.70      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.70      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5324_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13721,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 4.65/5.70      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 4.65/5.70      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.70      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2863]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13722,plain,
% 4.65/5.70      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Osgn__if(X0)
% 4.65/5.70      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 4.65/5.70      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13721]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2848,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | X1 = X2 ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5319_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13691,plain,
% 4.65/5.70      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | X1 = X2 ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2848]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13692,plain,
% 4.65/5.70      ( ~ class_Int_Onumber__ring(X0)
% 4.65/5.70      | ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.70      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.65/5.70      | X1 = X2 ),
% 4.65/5.70      inference(rewriting,[status(thm)],[c_13691]) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_2772,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = X1 ),
% 4.65/5.70      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5289_0) ).
% 4.65/5.70  
% 4.65/5.70  cnf(c_13539,plain,
% 4.65/5.70      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.70      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.70      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = X1 ),
% 4.65/5.70      inference(copy,[status(esa)],[c_2772]) ).
% 4.65/5.70  
% 4.65/5.71  cnf(c_13540,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1) = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13539]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2769,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = X1 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5288_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13533,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = X1 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2769]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13534,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13533]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2763,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5286_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13521,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2763]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13522,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13521]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2748,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5282_1) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13491,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2748]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13492,plain,
% 4.65/5.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.65/5.71      | ~ class_Orderings_Olinorder(X2)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13491]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2747,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5282_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13489,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2747]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13490,plain,
% 4.65/5.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.65/5.71      | ~ class_Orderings_Olinorder(X2)
% 4.65/5.71      | X1 = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13489]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2745,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5281_2) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13485,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2745]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13486,plain,
% 4.65/5.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13485]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2743,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.65/5.71      | X2 = X1 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5281_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13481,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.65/5.71      | X2 = X1 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2743]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13482,plain,
% 4.65/5.71      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 4.65/5.71      | X1 = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13481]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2740,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5280_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13475,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2740]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13476,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13475]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2737,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5279_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13469,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2737]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13470,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1) = c_HOL_Ozero__class_Ozero(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13469]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2734,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5278_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13463,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2734]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13464,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13463]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2731,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5277_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13457,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2731]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13458,plain,
% 4.65/5.71      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13457]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2723,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.65/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5274_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13441,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.65/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2723]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13442,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | ~ class_Ring__and__Field_Osgn__if(X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.65/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13441]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2716,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5271_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13427,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2716]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13428,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X0,X1) = c_HOL_Oabs__class_Oabs(X0,X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13427]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2713,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5270_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13421,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oabs__if(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2713]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13422,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_Ring__and__Field_Oabs__if(X1)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X0,X1) = c_HOL_Oabs__class_Oabs(X0,X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13421]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2698,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5264_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13391,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2698]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13392,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 4.65/5.71      | c_HOL_Osgn__class_Osgn(X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13391]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2694,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5263_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13383,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2694]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13384,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
% 4.65/5.71      | ~ class_Orderings_Olinorder(X1)
% 4.65/5.71      | c_HOL_Ouminus__class_Ouminus(X0,X1) = c_HOL_Oabs__class_Oabs(X0,X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13383]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2688,plain,
% 4.65/5.71      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/5.71      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.65/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5261_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13371,plain,
% 4.65/5.71      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.65/5.71      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.65/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2688]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13372,plain,
% 4.65/5.71      ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.65/5.71      | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.65/5.71      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13371]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2649,plain,
% 4.65/5.71      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) = X2 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5244_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13293,plain,
% 4.65/5.71      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) = X2 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2649]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13294,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ class_Lattices_Oupper__semilattice(X2)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2) = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13293]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2646,plain,
% 4.65/5.71      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5243_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13287,plain,
% 4.65/5.71      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2646]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13288,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ class_Lattices_Oupper__semilattice(X2)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13287]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2643,plain,
% 4.65/5.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = X1 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5242_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13281,plain,
% 4.65/5.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = X1 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2643]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13282,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ class_Lattices_Olower__semilattice(X2)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13281]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2640,plain,
% 4.65/5.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) = X1 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5241_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13275,plain,
% 4.65/5.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) = X1 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2640]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13276,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ class_Lattices_Olower__semilattice(X2)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X1,X0,X2) = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13275]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2637,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5240_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13269,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2637]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13270,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 4.65/5.71      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13269]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2623,plain,
% 4.65/5.71      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != X2
% 4.65/5.71      | c_lessequals(X1,X2,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5234_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13241,plain,
% 4.65/5.71      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != X2
% 4.65/5.71      | c_lessequals(X1,X2,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2623]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13242,plain,
% 4.65/5.71      ( c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ class_Lattices_Oupper__semilattice(X2)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2) != X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13241]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2620,plain,
% 4.65/5.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) != X1
% 4.65/5.71      | c_lessequals(X1,X2,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5233_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13235,plain,
% 4.65/5.71      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) != X1
% 4.65/5.71      | c_lessequals(X1,X2,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2620]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13236,plain,
% 4.65/5.71      ( c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ class_Lattices_Olower__semilattice(X2)
% 4.65/5.71      | c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2) != X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13235]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2610,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | X2 = X1 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5230_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13215,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | X2 = X1 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2610]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13216,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | ~ class_Orderings_Oorder(X2)
% 4.65/5.71      | X1 = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13215]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2602,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5228_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13199,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2602]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13200,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | ~ class_Orderings_Olinorder(X2)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13199]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2586,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | X1 = X2 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5224_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13167,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | X1 = X2 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2586]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13168,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | ~ class_Orderings_Oorder(X2)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13167]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2532,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5198_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13059,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2532]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_13060,plain,
% 4.65/5.71      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 4.65/5.71      | ~ class_Orderings_Olinorder(X1)
% 4.65/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_13059]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2481,plain,
% 4.65/5.71      ( X0 = X1
% 4.65/5.71      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5172_2) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12957,plain,
% 4.65/5.71      ( X0 = X1
% 4.65/5.71      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2481]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12958,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12957]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2460,plain,
% 4.65/5.71      ( ~ class_RealVector_Ometric__space(X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal)
% 4.65/5.71      | X1 = X2 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5164_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12915,plain,
% 4.65/5.71      ( ~ class_RealVector_Ometric__space(X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal)
% 4.65/5.71      | X1 = X2 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2460]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12916,plain,
% 4.65/5.71      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 4.65/5.71      | ~ class_RealVector_Ometric__space(X2)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12915]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2414,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X1,X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5148_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12823,plain,
% 4.65/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X1,X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2414]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12824,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X0,X1)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 4.65/5.71      | ~ class_Orderings_Olinorder(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12823]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2411,plain,
% 4.65/5.71      ( ~ class_Orderings_Opreorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5147_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12817,plain,
% 4.65/5.71      ( ~ class_Orderings_Opreorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2411]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12818,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.65/5.71      | ~ class_Orderings_Opreorder(X2) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12817]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2376,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | ~ c_lessequals(X2,X1,X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5134_2) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12747,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | X1 = X2
% 4.65/5.71      | ~ c_lessequals(X2,X1,X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2376]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12748,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ c_lessequals(X1,X0,X2)
% 4.65/5.71      | ~ class_Orderings_Oorder(X2)
% 4.65/5.71      | X1 = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12747]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2374,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | ~ c_lessequals(X2,X1,X0)
% 4.65/5.71      | X1 = X2 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5134_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12743,plain,
% 4.65/5.71      ( ~ class_Orderings_Oorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | ~ c_lessequals(X2,X1,X0)
% 4.65/5.71      | X1 = X2 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2374]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12744,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ c_lessequals(X1,X0,X2)
% 4.65/5.71      | ~ class_Orderings_Oorder(X2)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12743]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2347,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5125_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12689,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2347]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12690,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12689]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2344,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5124_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12683,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2344]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12684,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.65/5.71      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12683]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2341,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5123_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12677,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2341]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12678,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12677]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2338,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5122_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12671,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2338]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12672,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12671]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2335,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5121_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12665,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2335]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12666,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 4.65/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12665]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2323,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.71      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.71      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 4.65/5.71      | X2 = X3 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5118_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12641,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.71      | ~ class_Int_Onumber__ring(X0)
% 4.65/5.71      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 4.65/5.71      | X2 = X3 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2323]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12642,plain,
% 4.65/5.71      ( ~ class_Int_Onumber__ring(X0)
% 4.65/5.71      | ~ class_Ring__and__Field_Oidom(X0)
% 4.65/5.71      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 4.65/5.71      | X2 = X3 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12641]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2320,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5117_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12635,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2320]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12636,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X0,X2,X1)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12635]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2317,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.65/5.71      | c_lessequals(X1,X2,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5116_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12629,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.65/5.71      | c_lessequals(X1,X2,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2317]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12630,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 4.65/5.71      | c_lessequals(X0,X2,X1)
% 4.65/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12629]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2296,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5109_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12587,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2296]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12588,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12587]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2290,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5107_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12575,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.65/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2290]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12576,plain,
% 4.65/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.65/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12575]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2282,plain,
% 4.65/5.71      ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 4.65/5.71      | X0 = X1
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5104_2) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12559,plain,
% 4.65/5.71      ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 4.65/5.71      | X0 = X1
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2282]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12560,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.65/5.71      | c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12559]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2280,plain,
% 4.65/5.71      ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5104_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12555,plain,
% 4.65/5.71      ( c_Transcendental_Oln(X0) != c_Transcendental_Oln(X1)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.71      | X0 = X1 ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2280]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12556,plain,
% 4.65/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.65/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.65/5.71      | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X0)
% 4.65/5.71      | X1 = X0 ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12555]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2223,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.65/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5087_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12441,plain,
% 4.65/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.65/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.65/5.71      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2223]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12442,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.65/5.71      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 4.65/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.65/5.71      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12441]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2213,plain,
% 4.65/5.71      ( ~ class_Orderings_Opreorder(X0)
% 4.65/5.71      | c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.65/5.71      | ~ c_lessequals(X2,X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5083_2) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12421,plain,
% 4.65/5.71      ( ~ class_Orderings_Opreorder(X0)
% 4.65/5.71      | c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.65/5.71      | ~ c_lessequals(X2,X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2213]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12422,plain,
% 4.65/5.71      ( c_lessequals(X0,X1,X2)
% 4.65/5.71      | ~ c_lessequals(X1,X0,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.65/5.71      | ~ class_Orderings_Opreorder(X2) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12421]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2211,plain,
% 4.65/5.71      ( ~ class_Orderings_Opreorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_lessequals(X2,X1,X0) ),
% 4.65/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5083_0) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12417,plain,
% 4.65/5.71      ( ~ class_Orderings_Opreorder(X0)
% 4.65/5.71      | ~ c_lessequals(X1,X2,X0)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.65/5.71      | c_lessequals(X2,X1,X0) ),
% 4.65/5.71      inference(copy,[status(esa)],[c_2211]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_12418,plain,
% 4.65/5.71      ( ~ c_lessequals(X0,X1,X2)
% 4.65/5.71      | c_lessequals(X1,X0,X2)
% 4.65/5.71      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.65/5.71      | ~ class_Orderings_Opreorder(X2) ),
% 4.65/5.71      inference(rewriting,[status(thm)],[c_12417]) ).
% 4.65/5.71  
% 4.65/5.71  cnf(c_2208,plain,
% 4.65/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5082_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12411,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2208]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12412,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12411]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2204,plain,
% 4.77/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.77/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5081_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12403,plain,
% 4.77/5.71      ( ~ class_Orderings_Olinorder(X0)
% 4.77/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2204]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12404,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
% 4.77/5.71      | ~ class_Orderings_Olinorder(X1)
% 4.77/5.71      | c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(X0,X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12403]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2201,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5080_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12397,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2201]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12398,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12397]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2198,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5079_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12391,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2198]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12392,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12391]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2192,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5077_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12379,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2192]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12380,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12379]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2155,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5060_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12305,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2155]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12306,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12305]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2151,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5059_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12297,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2151]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12298,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X1)
% 4.77/5.71      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12297]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2143,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5057_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12281,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2143]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12282,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12281]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2139,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5056_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12273,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2139]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12274,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12273]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2135,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5055_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12265,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2135]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12266,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12265]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2131,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5054_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12257,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2131]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12258,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12257]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2127,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5053_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12249,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2127]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12250,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12249]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2123,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5052_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12241,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2123]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12242,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12241]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2119,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5051_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12233,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2119]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12234,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12233]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2110,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5048_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12215,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2110]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12216,plain,
% 4.77/5.71      ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 4.77/5.71      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12215]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2104,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5046_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12203,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2104]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12204,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.77/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12203]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2098,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5044_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12191,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2098]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12192,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12191]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2092,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5042_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12179,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2092]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12180,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12179]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2089,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5041_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12173,plain,
% 4.77/5.71      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2089]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12174,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 4.77/5.71      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.77/5.71      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12173]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2086,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.77/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5040_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12167,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.77/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2086]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12168,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 4.77/5.71      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12167]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2077,plain,
% 4.77/5.71      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.71      | c_Log_Opowr(X0,c_Log_Olog(X0,X1)) = X1
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5036_3) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12149,plain,
% 4.77/5.71      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.71      | c_Log_Opowr(X0,c_Log_Olog(X0,X1)) = X1
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2077]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12150,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.71      | c_Log_Opowr(X0,c_Log_Olog(X0,X1)) = X1
% 4.77/5.71      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12149]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2053,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_lessequals(X2,X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5026_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12101,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_lessequals(X2,X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2053]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12102,plain,
% 4.77/5.71      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 4.77/5.71      | c_lessequals(X2,X0,X1)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.77/5.71      inference(rewriting,[status(thm)],[c_12101]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_2050,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.77/5.71      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5025_0) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12095,plain,
% 4.77/5.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.71      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.77/5.71      inference(copy,[status(esa)],[c_2050]) ).
% 4.77/5.71  
% 4.77/5.71  cnf(c_12096,plain,
% 4.77/5.71      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 4.77/5.71      | c_HOL_Oord__class_Oless(X2,X0,X1)
% 4.77/5.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_12095]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_2011,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0)
% 4.77/5.72      | ~ c_lessequals(X2,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5007_1) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12017,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0)
% 4.77/5.72      | ~ c_lessequals(X2,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_2011]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12018,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | c_lessequals(X0,X3,X2)
% 4.77/5.72      | ~ c_lessequals(X1,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_12017]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_2010,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5007_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12015,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_2010]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12016,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | ~ c_lessequals(X1,X3,X2)
% 4.77/5.72      | c_lessequals(X0,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_12015]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_2007,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5006_1) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12009,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_2007]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12010,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_12009]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_2006,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5006_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12007,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_2006]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12008,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_12007]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_2004,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5005_2) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12003,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_2004]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12004,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_12003]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_2002,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5005_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11999,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_2002]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_12000,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11999]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1999,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_lessequals(X3,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X1,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5004_1) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11993,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_lessequals(X3,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X1,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1999]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11994,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | c_lessequals(X3,X1,X2)
% 4.77/5.72      | ~ c_lessequals(X3,X0,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11993]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1998,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X1,X0)
% 4.77/5.72      | c_lessequals(X3,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5004_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11991,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X1,X0)
% 4.77/5.72      | c_lessequals(X3,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1998]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11992,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | ~ c_lessequals(X3,X0,X2)
% 4.77/5.72      | c_lessequals(X3,X1,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11991]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1995,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5003_1) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11985,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1995]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11986,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11985]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1994,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5003_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11983,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1994]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11984,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11983]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1992,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5002_2) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11979,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1992]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11980,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11979]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1990,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5002_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11975,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_lessequals(X3,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1990]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11976,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11975]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1987,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5001_1) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11969,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1987]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11970,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11969]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1986,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5001_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11967,plain,
% 4.77/5.72      ( ~ class_Orderings_Opreorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1986]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11968,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.72      | ~ class_Orderings_Opreorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11967]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1983,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5000_1) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11961,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1983]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11962,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11961]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1982,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5000_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11959,plain,
% 4.77/5.72      ( ~ class_Orderings_Oorder(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1982]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11960,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.72      | ~ class_Orderings_Oorder(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11959]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1967,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4995_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11929,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1967]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11930,plain,
% 4.77/5.72      ( ~ class_RealVector_Oreal__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11929]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1955,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4991_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11905,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1955]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11906,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11905]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1949,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4989_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11893,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1949]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11894,plain,
% 4.77/5.72      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11893]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1939,plain,
% 4.77/5.72      ( ~ class_SEQ_Obanach(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4986_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11873,plain,
% 4.77/5.72      ( ~ class_SEQ_Obanach(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1939]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11874,plain,
% 4.77/5.72      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | ~ class_SEQ_Obanach(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11873]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1936,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4985_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11867,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1936]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11868,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11867]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1930,plain,
% 4.77/5.72      ( ~ class_SEQ_Obanach(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4983_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11855,plain,
% 4.77/5.72      ( ~ class_SEQ_Obanach(X0)
% 4.77/5.72      | ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1930]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11856,plain,
% 4.77/5.72      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.77/5.72      | ~ class_SEQ_Obanach(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X0),c_Transcendental_Oexp(X2,X0),X0) = c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11855]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1921,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4980_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11837,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1921]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11838,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11837]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1876,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4964_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11747,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1876]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11748,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11747]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1875,plain,
% 4.77/5.72      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X0,X1),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal))
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4963_3) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11745,plain,
% 4.77/5.72      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X0,X1),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal))
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1875]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11746,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X0,X1),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal))
% 4.77/5.72      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11745]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1854,plain,
% 4.77/5.72      ( ~ class_RealVector_Ometric__space(X0)
% 4.77/5.72      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | X1 = X2 ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4956_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11703,plain,
% 4.77/5.72      ( ~ class_RealVector_Ometric__space(X0)
% 4.77/5.72      | ~ c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | X1 = X2 ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1854]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11704,plain,
% 4.77/5.72      ( ~ c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.72      | ~ class_RealVector_Ometric__space(X2)
% 4.77/5.72      | X0 = X1 ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11703]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1853,plain,
% 4.77/5.72      ( c_HOL_Otimes__class_Otimes(X0,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X0))
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4955_2) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11701,plain,
% 4.77/5.72      ( c_HOL_Otimes__class_Otimes(X0,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X0))
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1853]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11702,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,c_Transcendental_Oln(X0),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X0,X1)) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11701]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1825,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.77/5.72      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4946_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11645,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.77/5.72      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1825]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11646,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 4.77/5.72      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 4.77/5.72      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11645]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1820,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.77/5.72      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4945_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11635,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.77/5.72      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1820]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11636,plain,
% 4.77/5.72      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11635]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1812,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.72      | c_lessequals(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4942_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11619,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.72      | c_lessequals(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1812]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11620,plain,
% 4.77/5.72      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11619]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1784,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4931_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11563,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1784]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11564,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.72      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11563]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1761,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4925_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11517,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1761]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11518,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11517]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1756,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4924_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11507,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1756]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11508,plain,
% 4.77/5.72      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.72      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11507]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1744,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4921_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11483,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1744]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11484,plain,
% 4.77/5.72      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11483]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1740,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4920_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11475,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1740]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11476,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11475]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1734,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4918_2) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11463,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1734]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11464,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11463]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1732,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4918_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11459,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1732]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11460,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11459]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1729,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4917_2) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11453,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1729]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11454,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11453]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1727,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4917_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11449,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1727]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11450,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.72      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.72      | c_HOL_Oplus__class_Oplus(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11449]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1722,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4916_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11439,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1722]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11440,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11439]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1719,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4915_2) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11433,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1719]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11434,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11433]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1717,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4915_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11429,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1717]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11430,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 4.77/5.72      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.72      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11429]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1709,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4913_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11413,plain,
% 4.77/5.72      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.72      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.72      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1709]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11414,plain,
% 4.77/5.72      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.77/5.72      | ~ c_lessequals(X0,X2,X1)
% 4.77/5.72      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11413]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1705,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4912_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11405,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.72      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1705]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11406,plain,
% 4.77/5.72      ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11405]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1697,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4909_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11389,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1697]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11390,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.72      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11389]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1682,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4904_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11359,plain,
% 4.77/5.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1682]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11360,plain,
% 4.77/5.72      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.72      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11359]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1673,plain,
% 4.77/5.72      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4901_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11341,plain,
% 4.77/5.72      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1673]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11342,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 4.77/5.72      | c_lessequals(X0,X2,X3)
% 4.77/5.72      | ~ class_Lattices_Olower__semilattice(X3) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11341]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1670,plain,
% 4.77/5.72      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 4.77/5.72      | c_lessequals(X1,X2,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4900_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11335,plain,
% 4.77/5.72      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 4.77/5.72      | c_lessequals(X1,X2,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1670]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11336,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 4.77/5.72      | c_lessequals(X0,X1,X3)
% 4.77/5.72      | ~ class_Lattices_Olower__semilattice(X3) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11335]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1661,plain,
% 4.77/5.72      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 4.77/5.72      | c_lessequals(X2,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4897_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11317,plain,
% 4.77/5.72      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 4.77/5.72      | c_lessequals(X2,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1661]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11318,plain,
% 4.77/5.72      ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 4.77/5.72      | c_lessequals(X1,X3,X2)
% 4.77/5.72      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11317]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1658,plain,
% 4.77/5.72      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4896_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11311,plain,
% 4.77/5.72      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.77/5.72      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 4.77/5.72      | c_lessequals(X1,X3,X0) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1658]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11312,plain,
% 4.77/5.72      ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 4.77/5.72      | c_lessequals(X0,X3,X2)
% 4.77/5.72      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11311]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1654,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.72      | c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 4.77/5.72      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4895_0) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11303,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.72      | c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 4.77/5.72      inference(copy,[status(esa)],[c_1654]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_11304,plain,
% 4.77/5.72      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.72      | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.72      inference(rewriting,[status(thm)],[c_11303]) ).
% 4.77/5.72  
% 4.77/5.72  cnf(c_1650,plain,
% 4.77/5.72      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 4.77/5.72      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4894_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11295,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1650]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11296,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11295]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1647,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_lessequals(X4,X3,X0)
% 4.77/5.73      | ~ c_lessequals(X2,X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4893_1) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11289,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_lessequals(X4,X3,X0)
% 4.77/5.73      | ~ c_lessequals(X2,X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1647]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11290,plain,
% 4.77/5.73      ( c_lessequals(X0,X1,X2)
% 4.77/5.73      | ~ c_lessequals(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11289]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1646,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_lessequals(X2,X1,X0)
% 4.77/5.73      | c_lessequals(X4,X3,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4893_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11287,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_lessequals(X2,X1,X0)
% 4.77/5.73      | c_lessequals(X4,X3,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1646]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11288,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.73      | c_lessequals(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11287]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1643,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_lessequals(X2,X1,X0)
% 4.77/5.73      | ~ c_lessequals(X4,X3,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4892_1) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11281,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_lessequals(X2,X1,X0)
% 4.77/5.73      | ~ c_lessequals(X4,X3,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1643]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11282,plain,
% 4.77/5.73      ( c_lessequals(X0,X1,X2)
% 4.77/5.73      | ~ c_lessequals(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11281]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1642,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_lessequals(X4,X3,X0)
% 4.77/5.73      | c_lessequals(X2,X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4892_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11279,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_lessequals(X4,X3,X0)
% 4.77/5.73      | c_lessequals(X2,X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1642]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11280,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.73      | c_lessequals(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11279]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1639,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4891_1) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11273,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1639]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11274,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11273]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1638,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4891_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11271,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1638]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11272,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11271]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1635,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4890_1) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11265,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1635]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11266,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11265]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1634,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4890_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11263,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1634]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11264,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11263]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1631,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4889_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11257,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1631]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11258,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11257]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1628,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,X2,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4888_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11251,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,X2,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1628]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11252,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | c_lessequals(X0,X1,X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11251]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1624,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.73      | c_lessequals(X1,X2,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4887_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11243,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.73      | c_lessequals(X1,X2,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1624]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11244,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 4.77/5.73      | c_lessequals(X2,X0,X1)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11243]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1620,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.77/5.73      | c_lessequals(X2,X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4886_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11235,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.77/5.73      | c_lessequals(X2,X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1620]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11236,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 4.77/5.73      | c_lessequals(X2,X0,X1)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11235]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1616,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4885_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11227,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1616]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11228,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X2,X0,X1)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11227]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1612,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4884_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11219,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1612]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11220,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11219]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1608,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4882_2) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11211,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1608]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11212,plain,
% 4.77/5.73      ( c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11211]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1606,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4882_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11207,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1606]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11208,plain,
% 4.77/5.73      ( c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11207]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1604,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4881_2) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11203,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1604]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11204,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11203]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1602,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4881_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11199,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1602]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11200,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11199]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1521,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4841_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11037,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1521]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11038,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11037]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1518,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4840_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11031,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1518]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11032,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11031]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1515,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4839_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11025,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1515]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11026,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11025]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1512,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4838_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11019,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1512]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11020,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11019]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1509,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4837_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11013,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1509]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11014,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.73      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11013]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1505,plain,
% 4.77/5.73      ( ~ c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4836_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11005,plain,
% 4.77/5.73      ( ~ c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1505]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11006,plain,
% 4.77/5.73      ( ~ c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11005]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1503,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4835_2) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11001,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1503]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_11002,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_11001]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1501,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4835_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10997,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1501]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10998,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10997]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1486,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4830_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10967,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1486]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10968,plain,
% 4.77/5.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10967]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1483,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4829_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10961,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1483]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10962,plain,
% 4.77/5.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10961]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1480,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4828_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10955,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1480]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10956,plain,
% 4.77/5.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10955]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1477,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4827_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10949,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1477]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10950,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10949]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1454,plain,
% 4.77/5.73      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(X3,X2,X0)
% 4.77/5.73      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X2,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4820_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10903,plain,
% 4.77/5.73      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(X3,X2,X0)
% 4.77/5.73      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X2,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1454]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10904,plain,
% 4.77/5.73      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 4.77/5.73      | ~ c_lessequals(X1,X3,X2)
% 4.77/5.73      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.73      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10903]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1442,plain,
% 4.77/5.73      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.73      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4817_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10879,plain,
% 4.77/5.73      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.73      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1442]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10880,plain,
% 4.77/5.73      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 4.77/5.73      | ~ c_lessequals(X0,X2,X3)
% 4.77/5.73      | ~ c_lessequals(X0,X1,X3)
% 4.77/5.73      | ~ class_Lattices_Olower__semilattice(X3) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10879]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1427,plain,
% 4.77/5.73      ( c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal))
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4811_2) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10849,plain,
% 4.77/5.73      ( c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal))
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1427]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10850,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal)) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10849]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1424,plain,
% 4.77/5.73      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal))
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4810_2) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10843,plain,
% 4.77/5.73      ( c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal))
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1424]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10844,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10843]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1418,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4809_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10831,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1418]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10832,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10831]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1415,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4808_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10825,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1415]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10826,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 4.77/5.73      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10825]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1411,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4807_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10817,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1411]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10818,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10817]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1407,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4806_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10809,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X0),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1407]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10810,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10809]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1403,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4805_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10801,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1403]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10802,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10801]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1399,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4804_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10793,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1399]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10794,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10793]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1395,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4803_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10785,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1395]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10786,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10785]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1391,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4802_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10777,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1391]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10778,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10777]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1386,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4801_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10767,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1386]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10768,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10767]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1381,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4800_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10757,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1381]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10758,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10757]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1376,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4799_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10747,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1376]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10748,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 4.77/5.73      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10747]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1371,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4798_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10737,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.73      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1371]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10738,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X1,X0),X0)
% 4.77/5.73      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.73      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10737]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1337,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4787_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10669,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1337]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10670,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10669]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1335,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4786_2) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10665,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1335]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10666,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X1,X0),c_Log_Opowr(X2,X0),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10665]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1333,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4786_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10661,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1333]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10662,plain,
% 4.77/5.73      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10661]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1329,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4785_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10653,plain,
% 4.77/5.73      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1329]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10654,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.73      | c_lessequals(c_Log_Opowr(X1,X0),c_Log_Opowr(X2,X0),tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10653]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1325,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4784_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10645,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1325]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10646,plain,
% 4.77/5.73      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10645]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1317,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4782_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10629,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1317]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10630,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10629]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1313,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4781_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10621,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1313]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10622,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10621]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1309,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4780_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10613,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1309]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10614,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10613]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1305,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4779_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10605,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1305]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10606,plain,
% 4.77/5.73      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10605]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1301,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4778_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10597,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1301]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10598,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10597]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1297,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4777_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10589,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1297]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10590,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10589]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1293,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4776_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10581,plain,
% 4.77/5.73      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1293]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10582,plain,
% 4.77/5.73      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10581]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1269,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4770_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10533,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1269]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10534,plain,
% 4.77/5.73      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.73      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10533]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1253,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4766_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10501,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.73      inference(copy,[status(esa)],[c_1253]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10502,plain,
% 4.77/5.73      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.73      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.73      inference(rewriting,[status(thm)],[c_10501]) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_1249,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.73      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4765_0) ).
% 4.77/5.73  
% 4.77/5.73  cnf(c_10493,plain,
% 4.77/5.73      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.73      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1249]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10494,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10493]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1245,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4764_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10485,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1245]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10486,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10485]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1241,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4763_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10477,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1241]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10478,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10477]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1237,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4762_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10469,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1237]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10470,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10469]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1229,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4760_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10453,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1229]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10454,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10453]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1225,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4759_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10445,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1225]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10446,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10445]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1221,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4758_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10437,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1221]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10438,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10437]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1217,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4757_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10429,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1217]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10430,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10429]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1213,plain,
% 4.77/5.74      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4756_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10421,plain,
% 4.77/5.74      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1213]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10422,plain,
% 4.77/5.74      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.74      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10421]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1209,plain,
% 4.77/5.74      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4755_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10413,plain,
% 4.77/5.74      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1209]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10414,plain,
% 4.77/5.74      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.74      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10413]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1182,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4748_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10359,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1182]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10360,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10359]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1172,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4746_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10339,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1172]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10340,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10339]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1167,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4745_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10329,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1167]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10330,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10329]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1157,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4743_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10309,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1157]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10310,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10309]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1152,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4742_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10299,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1152]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10300,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10299]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1147,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4741_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10289,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1147]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10290,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10289]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1136,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.74      | c_lessequals(c_Transcendental_Oln(X1),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X0),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4737_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10267,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.74      | c_lessequals(c_Transcendental_Oln(X1),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X0),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1136]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10268,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | c_lessequals(c_Transcendental_Oln(X0),c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X0,X1),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10267]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1132,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4736_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10259,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1132]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10260,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10259]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1128,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4735_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10251,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1128]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10252,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10251]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1124,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4734_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10243,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1124]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10244,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10243]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1120,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4733_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10235,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1120]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10236,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10235]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1116,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4732_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10227,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1116]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10228,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10227]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1113,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4731_1) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10221,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1113]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10222,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10221]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1112,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4731_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10219,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1112]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10220,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10219]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1109,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4730_1) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10213,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1109]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10214,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10213]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1108,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4730_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10211,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1108]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10212,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10211]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1104,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4729_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10203,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1104]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10204,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10203]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1098,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4728_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10191,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1098]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10192,plain,
% 4.77/5.74      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10191]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1092,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4727_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10179,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1092]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10180,plain,
% 4.77/5.74      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 4.77/5.74      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10179]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1089,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4726_3) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10173,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1089]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10174,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10173]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1086,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4726_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10167,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1086]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10168,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10167]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1083,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4725_3) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10161,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1083]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10162,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10161]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1080,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4725_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10155,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1080]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10156,plain,
% 4.77/5.74      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10155]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1075,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4724_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10145,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1075]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10146,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10145]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1071,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4723_1) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10137,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1071]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10138,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10137]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1070,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4723_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10135,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1070]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10136,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10135]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1066,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4722_1) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10127,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1066]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10128,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10127]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1065,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4722_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10125,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1065]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10126,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10125]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1060,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4721_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10115,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1060]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10116,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10115]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1055,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4720_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10105,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1055]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10106,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10105]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1051,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4719_1) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10097,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1051]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10098,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10097]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1050,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4719_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10095,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1050]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10096,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10095]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1046,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4718_1) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10087,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1046]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10088,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10087]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1045,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4718_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10085,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1045]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10086,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10085]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1040,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4717_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10075,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1040]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10076,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.74      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10075]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1039,plain,
% 4.77/5.74      ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4716_2) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10073,plain,
% 4.77/5.74      ( c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1039]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10074,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.74      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10073]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1032,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4715_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10059,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1032]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10060,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10059]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1027,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4714_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10049,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1027]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10050,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10049]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1022,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4713_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10039,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1022]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10040,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10039]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1017,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4712_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10029,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1017]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10030,plain,
% 4.77/5.74      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10029]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1016,plain,
% 4.77/5.74      ( c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X0,X2,tc_RealDef_Oreal),X1)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4711_2) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10027,plain,
% 4.77/5.74      ( c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X0,X1),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X0,X2,tc_RealDef_Oreal),X1)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1016]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10028,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.74      | c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X0,X2),c_Log_Opowr(X1,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),X2) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10027]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1009,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4710_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10013,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1009]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10014,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.74      inference(rewriting,[status(thm)],[c_10013]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_1004,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4709_0) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10003,plain,
% 4.77/5.74      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.74      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.74      inference(copy,[status(esa)],[c_1004]) ).
% 4.77/5.74  
% 4.77/5.74  cnf(c_10004,plain,
% 4.77/5.74      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.74      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_10003]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_999,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4708_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9993,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_999]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9994,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9993]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_994,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4707_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9983,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_994]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9984,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9983]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_984,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X1),X0),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X0),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4703_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9963,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X1),X0),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X0,X0),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_984]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9964,plain,
% 4.77/5.75      ( c_lessequals(c_Log_Opowr(c_Transcendental_Oln(X0),X1),c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X1),X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9963]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_982,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4702_2) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9959,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_982]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9960,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9959]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_980,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4702_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9955,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_980]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9956,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9955]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_976,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4701_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9947,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_976]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9948,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9947]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_972,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4700_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9939,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_972]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9940,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9939]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_970,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4699_2) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9935,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_970]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9936,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9935]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_968,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4699_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9931,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_968]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9932,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 4.77/5.75      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X0,X1),X1) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9931]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_966,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4698_2) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9927,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_966]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9928,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9927]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_964,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4698_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9923,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_964]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9924,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9923]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_962,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4697_2) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9919,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_962]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9920,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9919]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_960,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4697_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9915,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_960]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9916,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9915]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_951,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4694_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9897,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_951]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9898,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9897]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_948,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4693_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9891,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_948]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9892,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9891]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_851,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4647_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9697,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_851]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9698,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9697]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_847,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.75      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4646_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9689,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.75      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_847]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9690,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X4,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9689]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_843,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4645_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9681,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_843]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9682,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X0,X2),c_HOL_Oplus__class_Oplus(X4,X1,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9681]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_839,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4644_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9673,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_839]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9674,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 4.77/5.75      | ~ c_lessequals(X1,X4,X2)
% 4.77/5.75      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9673]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_833,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4643_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9661,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_833]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9662,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.75      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9661]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_827,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.75      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4642_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9649,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.75      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_827]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9650,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 4.77/5.75      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9649]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_823,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4641_2) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9641,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_823]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9642,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9641]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_821,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4641_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9637,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_821]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9638,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9637]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_817,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4640_2) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9629,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_817]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9630,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9629]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_815,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4640_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9625,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_815]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9626,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9625]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_813,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4639_3) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9621,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_813]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9622,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9621]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_810,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4639_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9615,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_810]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9616,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_Log_Olog(X2,X1),c_Log_Olog(X2,X0),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9615]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_808,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4638_3) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9611,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_808]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9612,plain,
% 4.77/5.75      ( c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9611]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_805,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4638_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9605,plain,
% 4.77/5.75      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_805]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9606,plain,
% 4.77/5.75      ( c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9605]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_800,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4637_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9595,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_800]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9596,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9595]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_795,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4636_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9585,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_795]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9586,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9585]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_779,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4632_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9553,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_779]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9554,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9553]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_763,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4628_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9521,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_763]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9522,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9521]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_751,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4625_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9497,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_751]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9498,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9497]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_747,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4624_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9489,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_747]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9490,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.75      | ~ c_lessequals(X3,X1,X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9489]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_743,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4623_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9481,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.75      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_743]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9482,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.75      | ~ c_lessequals(X1,X3,X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9481]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_739,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4622_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9473,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_739]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9474,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9473]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_735,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4621_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9465,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_735]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9466,plain,
% 4.77/5.75      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9465]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_731,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4620_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9457,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_731]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9458,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ c_lessequals(X3,X0,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9457]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_727,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4619_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9449,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_727]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9450,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.75      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ c_lessequals(X3,X1,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9449]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_723,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4618_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9441,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_723]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9442,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9441]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_719,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4617_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9433,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_719]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9434,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.75      | ~ c_lessequals(X1,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9433]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_715,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4616_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9425,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_715]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9426,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.75      | ~ c_lessequals(X1,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9425]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_710,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4615_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9415,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_710]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9416,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.75      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.75      | ~ c_lessequals(X3,X0,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9415]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_705,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4614_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9405,plain,
% 4.77/5.75      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.75      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.75      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_705]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9406,plain,
% 4.77/5.75      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.75      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.75      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9405]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_701,plain,
% 4.77/5.75      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.77/5.75      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X0),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4613_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9397,plain,
% 4.77/5.75      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.77/5.75      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X0),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_701]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9398,plain,
% 4.77/5.75      ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ class_RealVector_Oreal__normed__vector(X1)
% 4.77/5.75      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9397]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_695,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4611_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9385,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0)
% 4.77/5.75      | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_695]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9386,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),X3,X2)
% 4.77/5.75      | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 4.77/5.75      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9385]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_689,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4609_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9373,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_689]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9374,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | c_lessequals(c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9373]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_686,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4608_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9367,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_686]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9368,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9367]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_683,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4607_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9361,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_683]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9362,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9361]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_680,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 4.77/5.75      | c_lessequals(X2,X3,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4606_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9355,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
% 4.77/5.75      | c_lessequals(X2,X3,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_680]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9356,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 4.77/5.75      | c_lessequals(X1,X3,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9355]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_677,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 4.77/5.75      | c_lessequals(X1,X3,X0) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4605_0) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9349,plain,
% 4.77/5.75      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.77/5.75      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
% 4.77/5.75      | c_lessequals(X1,X3,X0) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_677]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9350,plain,
% 4.77/5.75      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 4.77/5.75      | c_lessequals(X0,X3,X2)
% 4.77/5.75      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9349]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_675,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.75      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4604_3) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9345,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(copy,[status(esa)],[c_675]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_9346,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X2,X0),c_Log_Olog(X2,X1),tc_RealDef_Oreal)
% 4.77/5.75      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.77/5.75      inference(rewriting,[status(thm)],[c_9345]) ).
% 4.77/5.75  
% 4.77/5.75  cnf(c_672,plain,
% 4.77/5.75      ( ~ c_HOL_Oord__class_Oless(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.75      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4604_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9339,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_672]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9340,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_Log_Olog(X2,X1),c_Log_Olog(X2,X0),tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9339]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_670,plain,
% 4.77/5.76      ( ~ c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.76      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4603_3) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9335,plain,
% 4.77/5.76      ( ~ c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.76      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_670]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9336,plain,
% 4.77/5.76      ( ~ c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.76      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9335]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_667,plain,
% 4.77/5.76      ( ~ c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4603_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9329,plain,
% 4.77/5.76      ( ~ c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_667]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9330,plain,
% 4.77/5.76      ( ~ c_lessequals(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal)
% 4.77/5.76      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9329]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_658,plain,
% 4.77/5.76      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4598_4) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9311,plain,
% 4.77/5.76      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_658]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9312,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
% 4.77/5.76      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9311]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_657,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4598_3) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9309,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_657]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9310,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Odivide(X2,X0,tc_RealDef_Oreal))
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9309]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_653,plain,
% 4.77/5.76      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4597_4) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9301,plain,
% 4.77/5.76      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_653]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9302,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X0,X1),c_Log_Olog(X0,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
% 4.77/5.76      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9301]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_652,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4597_3) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9299,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal))
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_652]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9300,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X1,X2),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal))
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9299]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_648,plain,
% 4.77/5.76      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal),c_Log_Olog(X1,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4596_5) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9291,plain,
% 4.77/5.76      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal),c_Log_Olog(X1,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_648]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9292,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal),c_Log_Olog(X1,X2),tc_RealDef_Oreal) = c_Log_Olog(X0,X2)
% 4.77/5.76      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9291]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_647,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4596_4) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9289,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_647]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9290,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.77/5.76      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X2),c_Transcendental_Oln(X1),tc_RealDef_Oreal),c_Log_Olog(X2,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,X0)
% 4.77/5.76      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.77/5.76      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9289]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_626,plain,
% 4.77/5.76      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.76      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.76      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4589_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9247,plain,
% 4.77/5.76      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.77/5.76      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.76      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_626]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9248,plain,
% 4.77/5.76      ( ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 4.77/5.76      | c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 4.77/5.76      | ~ c_lessequals(X2,X4,X3)
% 4.77/5.76      | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9247]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_614,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.76      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4584_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9223,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.76      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_614]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9224,plain,
% 4.77/5.76      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.76      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9223]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_610,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.76      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4583_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9215,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.76      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_610]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9216,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9215]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_606,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4582_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9207,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_606]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9208,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9207]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_597,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4580_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9189,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_597]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9190,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.76      | c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9189]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_582,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4577_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9159,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_582]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9160,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9159]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_577,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4576_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9149,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_577]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9150,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9149]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_572,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4575_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9139,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_572]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9140,plain,
% 4.77/5.76      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9139]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_567,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4574_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9129,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_567]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9130,plain,
% 4.77/5.76      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9129]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_562,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4573_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9119,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_562]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9120,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9119]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_557,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.77/5.76      | ~ class_Int_Onumber__ring(X0)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.77/5.76      | X3 = X4
% 4.77/5.76      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4572_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9109,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.77/5.76      | ~ class_Int_Onumber__ring(X0)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.77/5.76      | X3 = X4
% 4.77/5.76      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_557]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9110,plain,
% 4.77/5.76      ( ~ class_Int_Onumber__ring(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Oidom(X0)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.77/5.76      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.77/5.76      | X3 = X4 ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9109]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_554,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4571_1) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9103,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_554]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9104,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9103]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_553,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4571_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9101,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_553]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9102,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9101]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_550,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4570_1) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9095,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_550]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9096,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9095]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_549,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4570_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9093,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_549]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9094,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9093]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_521,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4557_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9037,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_521]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9038,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9037]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_517,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4556_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9029,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_517]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9030,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9029]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_513,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4555_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9021,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_513]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9022,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9021]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_509,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4554_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9013,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_509]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_9014,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_9013]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_497,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.77/5.76      | ~ class_Int_Onumber__ring(X0)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4550_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8989,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.77/5.76      | ~ class_Int_Onumber__ring(X0)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_497]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8990,plain,
% 4.77/5.76      ( ~ class_Int_Onumber__ring(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Oidom(X0)
% 4.77/5.76      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8989]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_490,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4548_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8975,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_490]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8976,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8975]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_486,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4547_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8967,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_486]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8968,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8967]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_449,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4536_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8893,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_449]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8894,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8893]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_445,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4535_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8885,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_445]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8886,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8885]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_441,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_lessequals(X3,X2,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4534_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8877,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_lessequals(X3,X2,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_441]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8878,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_lessequals(X3,X1,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8877]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_437,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | c_lessequals(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4533_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8869,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | c_lessequals(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_437]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8870,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_lessequals(X1,X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8869]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_433,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_lessequals(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4532_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8861,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_lessequals(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_433]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8862,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.77/5.76      | c_lessequals(X1,X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8861]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_429,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4531_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8853,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_429]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8854,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.76      | c_lessequals(X0,X3,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8853]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_425,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4530_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8845,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_425]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8846,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8845]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_421,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4529_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8837,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_421]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8838,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8837]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_417,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4528_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8829,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_417]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8830,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8829]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_413,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4527_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8821,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_413]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8822,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8821]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_407,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4526_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8809,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_407]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8810,plain,
% 4.77/5.76      ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 4.77/5.76      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8809]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_401,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4525_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8797,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.76      | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_401]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8798,plain,
% 4.77/5.76      ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 4.77/5.76      | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8797]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_395,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4524_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8785,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_395]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8786,plain,
% 4.77/5.76      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8785]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_389,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4523_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8773,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.76      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_389]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8774,plain,
% 4.77/5.76      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8773]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_386,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4522_3) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8767,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_386]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8768,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8767]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_383,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4522_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8761,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_383]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8762,plain,
% 4.77/5.76      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8761]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_377,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4521_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8749,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.76      inference(copy,[status(esa)],[c_377]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8750,plain,
% 4.77/5.76      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.76      inference(rewriting,[status(thm)],[c_8749]) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_371,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.76      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 4.77/5.76      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.76      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4520_0) ).
% 4.77/5.76  
% 4.77/5.76  cnf(c_8737,plain,
% 4.77/5.76      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.76      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_371]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8738,plain,
% 4.77/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8737]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_359,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4518_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8713,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_359]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8714,plain,
% 4.77/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8713]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_356,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4517_3) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8707,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_356]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8708,plain,
% 4.77/5.77      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8707]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_353,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4517_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8701,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_353]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8702,plain,
% 4.77/5.77      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8701]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_347,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4516_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8689,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_347]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8690,plain,
% 4.77/5.77      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8689]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_341,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4515_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8677,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_341]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8678,plain,
% 4.77/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8677]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_335,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.77      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4514_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8665,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.77      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_335]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8666,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.77      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.77/5.77      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8665]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_329,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.77      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4513_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8653,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.77/5.77      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.77      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_329]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8654,plain,
% 4.77/5.77      ( ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 4.77/5.77      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X0,X2,X3),X3)
% 4.77/5.77      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8653]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_323,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4512_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8641,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_323]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8642,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.77      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8641]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_317,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4511_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8629,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_317]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8630,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8629]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_309,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 4.77/5.77      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4508_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8613,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 4.77/5.77      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_309]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8614,plain,
% 4.77/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.77      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8613]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_306,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 4.77/5.77      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4507_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8607,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 4.77/5.77      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_306]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8608,plain,
% 4.77/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.77/5.77      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8607]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_303,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4506_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8601,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_303]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8602,plain,
% 4.77/5.77      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),X3,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8601]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_296,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4504_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8587,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X0),X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_296]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8588,plain,
% 4.77/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8587]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_290,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4503_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8575,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_290]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8576,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8575]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_284,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4502_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8563,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_284]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8564,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8563]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_282,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 4.77/5.77      | ~ c_lessequals(X4,X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4501_4) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8559,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 4.77/5.77      | ~ c_lessequals(X4,X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_282]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8560,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ c_lessequals(X4,X1,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8559]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_278,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4501_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8551,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_278]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8552,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ c_lessequals(X4,X1,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8551]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_275,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4500_3) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8545,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_275]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8546,plain,
% 4.77/5.77      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X4,X3,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8545]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_272,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4500_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8539,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X3,X4,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_272]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8540,plain,
% 4.77/5.77      ( ~ c_lessequals(X0,X1,X2)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X4,X3,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8539]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_268,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4499_2) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8531,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_268]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8532,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8531]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_266,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4499_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8527,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_266]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8528,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8527]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_264,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4498_4) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8523,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_264]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8524,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8523]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_262,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4498_2) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8519,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_262]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8520,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8519]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_260,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4498_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8515,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_260]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8516,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8515]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_258,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4497_4) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8511,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_258]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8512,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8511]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_256,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X3,X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4497_2) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8507,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.77/5.77      | ~ c_lessequals(X3,X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_256]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8508,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8507]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_254,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X4,X2,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4497_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8503,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_lessequals(X1,X3,X0)
% 4.77/5.77      | ~ c_lessequals(X4,X2,X0)
% 4.77/5.77      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_254]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8504,plain,
% 4.77/5.77      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.77/5.77      | ~ c_lessequals(X1,X4,X2)
% 4.77/5.77      | ~ c_lessequals(X0,X3,X2)
% 4.77/5.77      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8503]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_248,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4496_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8491,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.77/5.77      | ~ c_lessequals(X1,X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_248]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8492,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(X2,X3,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8491]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_246,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4495_4) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8487,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_246]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8488,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8487]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_244,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4495_2) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8483,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_244]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8484,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8483]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_242,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4495_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8479,plain,
% 4.77/5.77      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_242]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8480,plain,
% 4.77/5.77      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.77/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.77/5.77      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8479]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_234,plain,
% 4.77/5.77      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4492_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8463,plain,
% 4.77/5.77      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X3,X1,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_234]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8464,plain,
% 4.77/5.77      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8463]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_230,plain,
% 4.77/5.77      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X3,X1,X0),X0),c_HOL_Oplus__class_Oplus(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4491_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8455,plain,
% 4.77/5.77      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X2,tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X0),X4,tc_RealDef_Oreal)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X3,X1,X0),X0),c_HOL_Oplus__class_Oplus(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_230]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8456,plain,
% 4.77/5.77      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.77/5.77      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal)
% 4.77/5.77      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8455]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_226,plain,
% 4.77/5.77      ( ~ class_Divides_Oring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4490_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8447,plain,
% 4.77/5.77      ( ~ class_Divides_Oring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_226]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8448,plain,
% 4.77/5.77      ( ~ class_Divides_Oring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8447]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_222,plain,
% 4.77/5.77      ( ~ class_Divides_Osemiring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4489_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8439,plain,
% 4.77/5.77      ( ~ class_Divides_Osemiring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0) ),
% 4.77/5.77      inference(copy,[status(esa)],[c_222]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8440,plain,
% 4.77/5.77      ( ~ class_Divides_Osemiring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 4.77/5.77      inference(rewriting,[status(thm)],[c_8439]) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_218,plain,
% 4.77/5.77      ( ~ class_Divides_Osemiring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 4.77/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4488_0) ).
% 4.77/5.77  
% 4.77/5.77  cnf(c_8431,plain,
% 4.77/5.77      ( ~ class_Divides_Osemiring__div(X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 4.77/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X3,X0),X2,X0) ),
% 4.84/5.77      inference(copy,[status(esa)],[c_218]) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_8432,plain,
% 4.84/5.77      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.77      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 4.84/5.77      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 4.84/5.77      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 4.84/5.77      inference(rewriting,[status(thm)],[c_8431]) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_205,plain,
% 4.84/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4483_0) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_8405,plain,
% 4.84/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.77      inference(copy,[status(esa)],[c_205]) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_8406,plain,
% 4.84/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.84/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.77      inference(rewriting,[status(thm)],[c_8405]) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_200,plain,
% 4.84/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.84/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4482_0) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_8395,plain,
% 4.84/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.84/5.77      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.77      inference(copy,[status(esa)],[c_200]) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_8396,plain,
% 4.84/5.77      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.84/5.77      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.77      inference(rewriting,[status(thm)],[c_8395]) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_195,plain,
% 4.84/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.77      | ~ c_lessequals(X2,X1,X0)
% 4.84/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.77      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4481_0) ).
% 4.84/5.77  
% 4.84/5.77  cnf(c_8385,plain,
% 4.84/5.77      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.77      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.77      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.77      | ~ c_lessequals(X2,X1,X0)
% 4.84/5.77      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_195]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8386,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8385]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_189,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4480_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8373,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_189]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8374,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 4.84/5.78      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.78      | ~ c_lessequals(X1,X3,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8373]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_163,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4471_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8321,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_163]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8322,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8321]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_157,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 4.84/5.78      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4470_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8309,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 4.84/5.78      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_157]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8310,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.84/5.78      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8309]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_151,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4469_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8297,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_151]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8298,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8297]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_145,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4468_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8285,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_145]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8286,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8285]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_139,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4467_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8273,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_139]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8274,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8273]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_133,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4466_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8261,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_133]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8262,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8261]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_127,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4465_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8249,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_127]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8250,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X0,X2)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8249]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_121,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.84/5.78      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4464_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8237,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),X2,X0)
% 4.84/5.78      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_121]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8238,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.78      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 4.84/5.78      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8237]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_117,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4463_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8229,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_117]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8230,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X0,X1,X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8229]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_106,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.78      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.78      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.84/5.78      | X1 = X3
% 4.84/5.78      | X2 = X4 ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4460_1) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8207,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.78      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.78      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.84/5.78      | X1 = X3
% 4.84/5.78      | X2 = X4 ),
% 4.84/5.78      inference(copy,[status(esa)],[c_106]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8208,plain,
% 4.84/5.78      ( ~ class_Int_Onumber__ring(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.78      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.84/5.78      | X1 = X3
% 4.84/5.78      | X2 = X4 ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8207]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_105,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.78      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.78      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.84/5.78      | X2 = X4
% 4.84/5.78      | X1 = X3 ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4460_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8205,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.78      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.78      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.84/5.78      | X2 = X4
% 4.84/5.78      | X1 = X3 ),
% 4.84/5.78      inference(copy,[status(esa)],[c_105]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8206,plain,
% 4.84/5.78      ( ~ class_Int_Onumber__ring(X0)
% 4.84/5.78      | ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.78      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.84/5.78      | X2 = X4
% 4.84/5.78      | X1 = X3 ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8205]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_91,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4454_2) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8177,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_91]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8178,plain,
% 4.84/5.78      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8177]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_89,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4454_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8173,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_89]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8174,plain,
% 4.84/5.78      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8173]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_87,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4453_2) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8169,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_87]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8170,plain,
% 4.84/5.78      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8169]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_85,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4453_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8165,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_85]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8166,plain,
% 4.84/5.78      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8165]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_80,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4451_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8155,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_80]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8156,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 4.84/5.78      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8155]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_77,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4450_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8149,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.78      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_77]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8150,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.78      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 4.84/5.78      | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8149]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_52,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X0),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4441_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8099,plain,
% 4.84/5.78      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X0),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_52]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8100,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.78      | c_Transcendental_Oarctan(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8099]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_38,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.78      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4436_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8071,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.78      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_38]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8072,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 4.84/5.78      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8071]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_29,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4433_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8053,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_29]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8054,plain,
% 4.84/5.78      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8053]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_9,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 4.84/5.78      | ~ c_lessequals(X3,X6,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | ~ c_lessequals(X5,X1,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4425_3) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8013,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 4.84/5.78      | ~ c_lessequals(X3,X6,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | ~ c_lessequals(X5,X1,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_9]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8014,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 4.84/5.78      | ~ c_lessequals(X6,X2,X1)
% 4.84/5.78      | ~ c_lessequals(X0,X5,X1)
% 4.84/5.78      | ~ c_lessequals(X5,X3,X1)
% 4.84/5.78      | ~ c_lessequals(X4,X6,X1)
% 4.84/5.78      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8013]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 4.84/5.78      | ~ c_lessequals(X4,X6,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X5,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4425_2) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8011,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X6,X1,X0),X0)
% 4.84/5.78      | ~ c_lessequals(X4,X6,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X5,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_8]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8012,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 4.84/5.78      | ~ c_lessequals(X6,X2,X1)
% 4.84/5.78      | ~ c_lessequals(X4,X6,X1)
% 4.84/5.78      | ~ c_lessequals(X0,X5,X1)
% 4.84/5.78      | ~ c_lessequals(X5,X3,X1)
% 4.84/5.78      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8011]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_6,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | ~ c_lessequals(X4,X5,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4425_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8007,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | ~ c_lessequals(X4,X5,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_6]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8008,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 4.84/5.78      | ~ c_lessequals(X6,X2,X1)
% 4.84/5.78      | ~ c_lessequals(X4,X6,X1)
% 4.84/5.78      | ~ c_lessequals(X5,X3,X1)
% 4.84/5.78      | ~ c_lessequals(X0,X5,X1)
% 4.84/5.78      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8007]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 4.84/5.78      | ~ c_lessequals(X5,X3,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X4,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X1,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4424_3) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8001,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 4.84/5.78      | ~ c_lessequals(X5,X3,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X4,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X1,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8002,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 4.84/5.78      | ~ c_lessequals(X1,X4,X2)
% 4.84/5.78      | ~ c_lessequals(X5,X0,X2)
% 4.84/5.78      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.78      | ~ c_lessequals(X6,X1,X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_8001]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_2,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | ~ c_lessequals(X4,X5,X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4424_2) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_7999,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | ~ c_lessequals(X4,X5,X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_2]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_8000,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 4.84/5.78      | ~ c_lessequals(X1,X4,X2)
% 4.84/5.78      | ~ c_lessequals(X6,X1,X2)
% 4.84/5.78      | ~ c_lessequals(X5,X0,X2)
% 4.84/5.78      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_7999]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_0,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | ~ c_lessequals(X4,X5,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4424_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_7995,plain,
% 4.84/5.78      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.78      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.78      | ~ c_lessequals(X3,X1,X0)
% 4.84/5.78      | ~ c_lessequals(X4,X5,X0)
% 4.84/5.78      | ~ c_lessequals(X6,X4,X0)
% 4.84/5.78      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),X0),X0),X0) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_0]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_7996,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 4.84/5.78      | ~ c_lessequals(X1,X4,X2)
% 4.84/5.78      | ~ c_lessequals(X6,X1,X2)
% 4.84/5.78      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.78      | ~ c_lessequals(X5,X0,X2)
% 4.84/5.78      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 4.84/5.78      inference(rewriting,[status(thm)],[c_7995]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3578,negated_conjecture,
% 4.84/5.78      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_9) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4404,negated_conjecture,
% 4.84/5.78      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3578]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4411,negated_conjecture,
% 4.84/5.78      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4404]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4412,negated_conjecture,
% 4.84/5.78      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4411]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4415,negated_conjecture,
% 4.84/5.78      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4412]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15076,negated_conjecture,
% 4.84/5.78      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4415]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3577,negated_conjecture,
% 4.84/5.78      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_8) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4402,negated_conjecture,
% 4.84/5.78      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3577]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4410,negated_conjecture,
% 4.84/5.78      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4402]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4413,negated_conjecture,
% 4.84/5.78      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4410]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_4414,negated_conjecture,
% 4.84/5.78      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4413]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15074,negated_conjecture,
% 4.84/5.78      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_4414]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3576,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_888_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15072,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3576]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3572,plain,
% 4.84/5.78      ( c_HOL_Ominus__class_Ominus(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X0,X2),hAPP(X0,X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X0,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X0,X2),hAPP(X0,X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_892_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15067,plain,
% 4.84/5.78      ( c_HOL_Ominus__class_Ominus(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X0,X2),hAPP(X0,X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X0,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X0,X2),hAPP(X0,X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3572]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3571,plain,
% 4.84/5.78      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_893_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15065,plain,
% 4.84/5.78      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3571]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3562,plain,
% 4.84/5.78      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_902_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15055,plain,
% 4.84/5.78      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3562]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3561,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_903_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15053,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3561]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3558,plain,
% 4.84/5.78      ( c_lessequals(X0,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_906_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15049,plain,
% 4.84/5.78      ( c_lessequals(X0,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3558]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3557,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_907_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15047,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3557]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3551,plain,
% 4.84/5.78      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_913_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15040,plain,
% 4.84/5.78      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3551]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3548,plain,
% 4.84/5.78      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_916_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15036,plain,
% 4.84/5.78      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3548]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3546,plain,
% 4.84/5.78      ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_918_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15033,plain,
% 4.84/5.78      ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3546]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3545,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_919_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15031,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3545]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3544,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_920_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15029,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3544]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3542,plain,
% 4.84/5.78      ( ~ c_Ring__and__Field_Ozero__neq__one(X0,X0,X1) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_922_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15026,plain,
% 4.84/5.78      ( ~ c_Ring__and__Field_Ozero__neq__one(X0,X0,X1) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3542]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3540,plain,
% 4.84/5.78      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_924_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15023,plain,
% 4.84/5.78      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3540]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3539,plain,
% 4.84/5.78      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_925_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15021,plain,
% 4.84/5.78      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3539]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3538,plain,
% 4.84/5.78      ( c_Transcendental_Ocos(c_Transcendental_Oarctan(X0)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_926_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15019,plain,
% 4.84/5.78      ( c_Transcendental_Ocos(c_Transcendental_Oarctan(X0)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3538]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3529,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_935_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15009,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      inference(copy,[status(esa)],[c_3529]) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_3528,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.78      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_936_0) ).
% 4.84/5.78  
% 4.84/5.78  cnf(c_15007,plain,
% 4.84/5.78      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3528]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3524,plain,
% 4.84/5.79      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_940_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_15002,plain,
% 4.84/5.79      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3524]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3522,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_942_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14999,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3522]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3519,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_945_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14995,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3519]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3518,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_946_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14993,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3518]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3516,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_948_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14990,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3516]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3514,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_950_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14987,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3514]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3513,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_951_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14985,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3513]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3505,plain,
% 4.84/5.79      ( ~ c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_959_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14976,plain,
% 4.84/5.79      ( ~ c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3505]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3504,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_960_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14974,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3504]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3498,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_966_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14967,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3498]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3496,plain,
% 4.84/5.79      ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_968_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14964,plain,
% 4.84/5.79      ( class_SEQ_Obanach(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3496]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3495,plain,
% 4.84/5.79      ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_969_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14962,plain,
% 4.84/5.79      ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3495]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3494,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_970_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14960,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3494]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3493,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_971_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14958,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3493]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3492,plain,
% 4.84/5.79      ( class_RealVector_Odist__norm(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_972_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14956,plain,
% 4.84/5.79      ( class_RealVector_Odist__norm(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3492]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3491,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_973_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14954,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3491]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3490,plain,
% 4.84/5.79      ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_974_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14952,plain,
% 4.84/5.79      ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3490]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3489,plain,
% 4.84/5.79      ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_975_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14950,plain,
% 4.84/5.79      ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3489]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3488,plain,
% 4.84/5.79      ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_976_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14948,plain,
% 4.84/5.79      ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3488]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3487,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_977_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14946,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3487]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3486,plain,
% 4.84/5.79      ( class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_978_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14944,plain,
% 4.84/5.79      ( class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3486]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3485,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_979_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14942,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3485]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3484,plain,
% 4.84/5.79      ( class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_980_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14940,plain,
% 4.84/5.79      ( class_RealVector_Osgn__div__norm(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3484]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3483,plain,
% 4.84/5.79      ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_981_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14938,plain,
% 4.84/5.79      ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3483]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3482,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_982_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14936,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3482]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3481,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_983_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14934,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3481]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3480,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_984_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14932,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3480]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3479,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_985_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14930,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3479]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3478,plain,
% 4.84/5.79      ( class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_986_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14928,plain,
% 4.84/5.79      ( class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3478]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3477,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_987_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14926,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3477]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3476,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_988_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14924,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3476]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3475,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_989_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14922,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3475]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3474,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_990_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14920,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3474]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3473,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_991_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14918,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3473]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3472,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_992_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14916,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3472]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3471,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_993_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14914,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3471]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3470,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_994_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14912,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3470]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3469,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_995_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14910,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3469]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3468,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_996_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14908,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3468]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3467,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_997_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14906,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3467]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3466,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_998_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14904,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3466]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3465,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_999_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14902,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3465]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3464,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1000_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14900,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3464]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3463,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1001_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14898,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3463]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3462,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1002_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14896,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3462]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3461,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1003_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14894,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3461]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3460,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1004_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14892,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3460]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3459,plain,
% 4.84/5.79      ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1005_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14890,plain,
% 4.84/5.79      ( class_SEQ_Obanach(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3459]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3458,plain,
% 4.84/5.79      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1006_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14888,plain,
% 4.84/5.79      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3458]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3457,plain,
% 4.84/5.79      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1007_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14886,plain,
% 4.84/5.79      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3457]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3456,plain,
% 4.84/5.79      ( class_Lattices_Olattice(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1008_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14884,plain,
% 4.84/5.79      ( class_Lattices_Olattice(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3456]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3455,plain,
% 4.84/5.79      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1009_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14882,plain,
% 4.84/5.79      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3455]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3454,plain,
% 4.84/5.79      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1010_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14880,plain,
% 4.84/5.79      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3454]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3453,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1011_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14878,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3453]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3452,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1012_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14876,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3452]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3451,plain,
% 4.84/5.79      ( class_RealVector_Odist__norm(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1013_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14874,plain,
% 4.84/5.79      ( class_RealVector_Odist__norm(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3451]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3450,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1014_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14872,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3450]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3449,plain,
% 4.84/5.79      ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1015_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14870,plain,
% 4.84/5.79      ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3449]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3448,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1016_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14868,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3448]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3447,plain,
% 4.84/5.79      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1017_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14866,plain,
% 4.84/5.79      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3447]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3446,plain,
% 4.84/5.79      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1018_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14864,plain,
% 4.84/5.79      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3446]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3445,plain,
% 4.84/5.79      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1019_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14862,plain,
% 4.84/5.79      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3445]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3444,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1020_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14860,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3444]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3443,plain,
% 4.84/5.79      ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1021_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14858,plain,
% 4.84/5.79      ( class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3443]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3442,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1022_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14856,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3442]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3441,plain,
% 4.84/5.79      ( class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1023_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14854,plain,
% 4.84/5.79      ( class_RealVector_Osgn__div__norm(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3441]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3440,plain,
% 4.84/5.79      ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1024_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14852,plain,
% 4.84/5.79      ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3440]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3439,plain,
% 4.84/5.79      ( class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1025_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14850,plain,
% 4.84/5.79      ( class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3439]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3438,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1026_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14848,plain,
% 4.84/5.79      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3438]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3437,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1027_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14846,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3437]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3436,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1028_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14844,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3436]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3435,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1029_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14842,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3435]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3434,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1030_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14840,plain,
% 4.84/5.79      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3434]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3433,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1031_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14838,plain,
% 4.84/5.79      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3433]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3432,plain,
% 4.84/5.79      ( class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1032_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14836,plain,
% 4.84/5.79      ( class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3432]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3431,plain,
% 4.84/5.79      ( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1033_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14834,plain,
% 4.84/5.79      ( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3431]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3430,plain,
% 4.84/5.79      ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1034_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14832,plain,
% 4.84/5.79      ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3430]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3429,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1035_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14830,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3429]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3428,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1036_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14828,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3428]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3427,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1037_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14826,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3427]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3426,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1038_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14824,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3426]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3425,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1039_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14822,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3425]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3424,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1040_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14820,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3424]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3423,plain,
% 4.84/5.79      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1041_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14818,plain,
% 4.84/5.79      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3423]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3422,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1042_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14816,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3422]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3421,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1043_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14814,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3421]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3420,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1044_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14812,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3420]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3419,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1045_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14810,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3419]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3418,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1046_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14808,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3418]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3417,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1047_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14806,plain,
% 4.84/5.79      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3417]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3416,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1048_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14804,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3416]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3415,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1049_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14802,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3415]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3414,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1050_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14800,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3414]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3413,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1051_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14798,plain,
% 4.84/5.79      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3413]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3412,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1052_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14796,plain,
% 4.84/5.79      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3412]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3411,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1053_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14794,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3411]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3410,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1054_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14792,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3410]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3409,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1055_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14790,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3409]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3408,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1056_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14788,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3408]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3407,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1057_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14786,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3407]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3406,plain,
% 4.84/5.79      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1058_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14784,plain,
% 4.84/5.79      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3406]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3405,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1059_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14782,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3405]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3404,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1060_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14780,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3404]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3403,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1061_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14778,plain,
% 4.84/5.79      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3403]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3402,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1062_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14776,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3402]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3401,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1063_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14774,plain,
% 4.84/5.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3401]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3400,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1064_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14772,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3400]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3399,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1065_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14770,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3399]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3398,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1066_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14768,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3398]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3397,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1067_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14766,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3397]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3396,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1068_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14764,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3396]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3395,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1069_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14762,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3395]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3394,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1070_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14760,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3394]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3393,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1071_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14758,plain,
% 4.84/5.79      ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3393]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3392,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1072_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14756,plain,
% 4.84/5.79      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3392]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3391,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1073_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14754,plain,
% 4.84/5.79      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3391]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3390,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1074_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14752,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3390]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3389,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1075_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14750,plain,
% 4.84/5.79      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3389]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3387,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1077_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14746,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3387]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3384,plain,
% 4.84/5.79      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1080_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14742,plain,
% 4.84/5.79      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3384]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3383,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1081_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14740,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3383]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3370,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1094_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14726,plain,
% 4.84/5.79      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3370]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3367,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1097_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14722,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3367]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3366,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1098_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14720,plain,
% 4.84/5.79      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3366]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3361,plain,
% 4.84/5.79      ( c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1103_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14714,plain,
% 4.84/5.79      ( c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3361]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3357,plain,
% 4.84/5.79      ( c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1107_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14709,plain,
% 4.84/5.79      ( c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3357]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3356,plain,
% 4.84/5.79      ( ~ 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) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1108_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14707,plain,
% 4.84/5.79      ( ~ 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) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3356]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3355,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_1109_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14705,plain,
% 4.84/5.79      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3355]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3353,plain,
% 4.84/5.79      ( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_Transcendental_Ocos(v_x)
% 4.84/5.79      | c_Transcendental_Opi != v_x ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5529_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14701,plain,
% 4.84/5.79      ( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_Transcendental_Ocos(v_x)
% 4.84/5.79      | c_Transcendental_Opi != v_x ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3353]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3351,plain,
% 4.84/5.79      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5528_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14697,plain,
% 4.84/5.79      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3351]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3349,plain,
% 4.84/5.79      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5527_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14693,plain,
% 4.84/5.79      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3349]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3347,plain,
% 4.84/5.79      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5526_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14689,plain,
% 4.84/5.79      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3347]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3345,plain,
% 4.84/5.79      ( c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5525_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14685,plain,
% 4.84/5.79      ( c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3345]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3341,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.84/5.79      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5523_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14677,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.84/5.79      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3341]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3339,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 4.84/5.79      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5522_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14673,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 4.84/5.79      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3339]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3337,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5521_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14669,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Oii
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3337]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3335,plain,
% 4.84/5.79      ( c_Transcendental_Oexp(X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5520_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14665,plain,
% 4.84/5.79      ( c_Transcendental_Oexp(X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3335]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3333,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5519_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14661,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3333]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3331,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5518_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14657,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3331]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3329,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5517_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14653,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3329]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3327,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5516_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14649,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3327]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3325,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5515_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14645,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3325]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3323,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
% 4.84/5.79      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5514_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14641,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
% 4.84/5.79      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3323]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3321,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5513_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14637,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3321]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3319,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5512_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14633,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3319]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3317,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5511_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14629,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3317]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3315,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5510_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14625,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3315]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3313,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.79      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5509_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14621,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.79      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3313]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3311,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.79      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5508_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14617,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.79      | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3311]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3309,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5507_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14613,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3309]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3307,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5506_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14609,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3307]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3305,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5505_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14605,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3305]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3303,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5504_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14601,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3303]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3299,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5502_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14593,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3299]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3297,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5501_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14589,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3297]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3295,plain,
% 4.84/5.79      ( c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5500_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14585,plain,
% 4.84/5.79      ( c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3295]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14586,plain,
% 4.84/5.79      ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(rewriting,[status(thm)],[c_14585]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3292,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5499_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14579,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3292]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3289,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5498_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14573,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3289]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3283,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5496_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14561,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3283]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3280,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5495_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14555,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3280]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3277,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5494_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14549,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3277]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3274,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5493_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14543,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3274]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3271,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5492_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14537,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3271]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3268,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5491_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14531,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3268]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3265,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5490_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14525,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3265]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14526,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ozero__class_Ozero(X0) = X1
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(rewriting,[status(thm)],[c_14525]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3262,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5489_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14519,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3262]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3259,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5488_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14513,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3259]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3256,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5487_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14507,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3256]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3254,plain,
% 4.84/5.79      ( c_Transcendental_Oexp(X0,tc_RealDef_Oreal) != c_Transcendental_Oexp(X1,tc_RealDef_Oreal)
% 4.84/5.79      | X0 = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5486_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14503,plain,
% 4.84/5.79      ( c_Transcendental_Oexp(X0,tc_RealDef_Oreal) != c_Transcendental_Oexp(X1,tc_RealDef_Oreal)
% 4.84/5.79      | X0 = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3254]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3249,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 4.84/5.79      | X0 = X2 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5484_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14493,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 4.84/5.79      | X0 = X2 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3249]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3247,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 4.84/5.79      | X1 = X3 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5483_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14489,plain,
% 4.84/5.79      ( c_Complex_Ocomplex_OComplex(X0,X1) != c_Complex_Ocomplex_OComplex(X2,X3)
% 4.84/5.79      | X1 = X3 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3247]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3243,plain,
% 4.84/5.79      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5481_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14481,plain,
% 4.84/5.79      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3243]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3237,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5478_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14469,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3237]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3233,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 4.84/5.79      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5477_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14461,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 4.84/5.79      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3233]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3229,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5476_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14453,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3229]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3226,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5475_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14447,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3226]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3223,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5474_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14441,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3223]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3220,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5473_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14435,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3220]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3217,plain,
% 4.84/5.79      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5472_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14429,plain,
% 4.84/5.79      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.79      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3217]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3214,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5471_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14423,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3214]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3211,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5470_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14417,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3211]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3209,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5469_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14413,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3209]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3207,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5468_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14409,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3207]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3203,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5467_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14401,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3203]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3201,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5466_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14397,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3201]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3199,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5465_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14393,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3199]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3197,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5464_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14389,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.79      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3197]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3195,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5463_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14385,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.79      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3195]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3193,plain,
% 4.84/5.79      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5462_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14381,plain,
% 4.84/5.79      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3193]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14382,plain,
% 4.84/5.79      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 4.84/5.79      inference(rewriting,[status(thm)],[c_14381]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3191,plain,
% 4.84/5.79      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5461_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14377,plain,
% 4.84/5.79      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3191]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14378,plain,
% 4.84/5.79      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 4.84/5.79      inference(rewriting,[status(thm)],[c_14377]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3189,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5460_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14373,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3189]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3187,plain,
% 4.84/5.79      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.79      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5459_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14369,plain,
% 4.84/5.79      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.79      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3187]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3185,plain,
% 4.84/5.79      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.79      | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5458_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14365,plain,
% 4.84/5.79      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.79      | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3185]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3183,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5457_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14361,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3183]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3181,plain,
% 4.84/5.79      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.79      | c_RealVector_Odist__class_Odist(X1,X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5456_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14357,plain,
% 4.84/5.79      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.79      | c_RealVector_Odist__class_Odist(X1,X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3181]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3177,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.84/5.79      | X1 = X2
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5455_1) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14349,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.84/5.79      | X1 = X2
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3177]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14350,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 4.84/5.79      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.79      | X1 = X2 ),
% 4.84/5.79      inference(rewriting,[status(thm)],[c_14349]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3174,plain,
% 4.84/5.79      ( c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X0),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5454_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14343,plain,
% 4.84/5.79      ( c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(X0),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.79      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3174]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3172,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.79      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5453_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14339,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.79      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3172]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3168,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5451_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14331,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.79      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3168]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3166,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.79      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5450_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14327,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.79      | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3166]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3164,plain,
% 4.84/5.79      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.79      | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5449_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14323,plain,
% 4.84/5.79      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.79      | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3164]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3162,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.79      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5448_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14319,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.79      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3162]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3160,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5447_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14315,plain,
% 4.84/5.79      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.79      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3160]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3158,plain,
% 4.84/5.79      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.79      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5446_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14311,plain,
% 4.84/5.79      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.79      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3158]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3154,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5444_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14303,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3154]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3152,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5443_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14299,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3152]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3150,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5442_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14295,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3150]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3148,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5441_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14291,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3148]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3146,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5440_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14287,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.84/5.79      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3146]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3144,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5439_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14283,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.79      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3144]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3140,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5437_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14275,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3140]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3138,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5436_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14271,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3138]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3136,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5435_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14267,plain,
% 4.84/5.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3136]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3134,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5434_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14263,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.79      inference(copy,[status(esa)],[c_3134]) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_3132,plain,
% 4.84/5.79      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.84/5.79      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 4.84/5.79      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5433_0) ).
% 4.84/5.79  
% 4.84/5.79  cnf(c_14259,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3132]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3130,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5432_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14255,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3130]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3128,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5431_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14251,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3128]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3126,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5430_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14247,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3126]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3124,plain,
% 4.84/5.80      ( c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0
% 4.84/5.80      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5429_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14243,plain,
% 4.84/5.80      ( c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0
% 4.84/5.80      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3124]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14244,plain,
% 4.84/5.80      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0 ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14243]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3122,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 4.84/5.80      | c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5428_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14239,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 4.84/5.80      | c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3122]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3120,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5427_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14235,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3120]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3114,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5425_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14223,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3114]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14224,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14223]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3111,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5424_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14217,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3111]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3109,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5423_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14213,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3109]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3107,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5422_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14209,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3107]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3105,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5421_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14205,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3105]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3103,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5420_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14201,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3103]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3101,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5419_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14197,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3101]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3099,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5418_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14193,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3099]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3097,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5417_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14189,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3097]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3095,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5416_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14185,plain,
% 4.84/5.80      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.80      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3095]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3091,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5414_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14177,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3091]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3087,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5412_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14169,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3087]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3083,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5410_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14161,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3083]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3081,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5409_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14157,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3081]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3079,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5408_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14153,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3079]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3077,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5407_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14149,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3077]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3075,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5406_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14145,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3075]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3073,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5405_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14141,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3073]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3068,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.84/5.80      | c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5403_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14131,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.84/5.80      | c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3068]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14132,plain,
% 4.84/5.80      ( c_Ring__and__Field_Ozero__neq__one(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14131]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3066,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5402_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14127,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3066]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14128,plain,
% 4.84/5.80      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14127]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3064,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5401_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14123,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3064]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14124,plain,
% 4.84/5.80      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14123]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3059,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5399_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14113,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3059]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3055,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5398_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14105,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3055]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3046,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5395_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14087,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3046]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3044,plain,
% 4.84/5.80      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5394_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14083,plain,
% 4.84/5.80      ( c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3044]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3042,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5393_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14079,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3042]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3040,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5392_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14075,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3040]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3038,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5391_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14071,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3038]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3036,plain,
% 4.84/5.80      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5390_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14067,plain,
% 4.84/5.80      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3036]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3031,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.80      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5388_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14057,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 4.84/5.80      | c_HOL_Osgn__class_Osgn(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3031]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3029,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5387_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14053,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3029]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3027,plain,
% 4.84/5.80      ( c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5386_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14049,plain,
% 4.84/5.80      ( c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3027]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14050,plain,
% 4.84/5.80      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) != X0 ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14049]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3024,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5385_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14043,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3024]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3019,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5383_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14033,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3019]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3017,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5382_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14029,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3017]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3015,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5381_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14025,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3015]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3013,plain,
% 4.84/5.80      ( c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal) != X0
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5380_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14021,plain,
% 4.84/5.80      ( c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal) != X0
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3013]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14022,plain,
% 4.84/5.80      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal) != X0 ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14021]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3010,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5379_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14015,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3010]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3008,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5378_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14011,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3008]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_14012,plain,
% 4.84/5.80      ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 4.84/5.80      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_14011]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3002,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5376_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13999,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3002]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_3000,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5375_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13995,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_3000]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13996,plain,
% 4.84/5.80      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 4.84/5.80      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13995]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2993,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.80      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5373_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13981,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.80      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2993]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2990,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5372_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13975,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2990]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2984,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5370_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13963,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2984]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2980,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5368_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13955,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2980]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2978,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5367_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13951,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2978]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2976,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5366_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13947,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2976]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2967,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5363_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13929,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2967]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2964,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5362_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13923,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2964]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2961,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.80      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5361_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13917,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.80      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2961]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2959,plain,
% 4.84/5.80      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5360_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13913,plain,
% 4.84/5.80      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2959]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13914,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13913]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2957,plain,
% 4.84/5.80      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5359_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13909,plain,
% 4.84/5.80      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2957]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13910,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13909]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2955,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5358_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13905,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2955]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13906,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13905]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2953,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5357_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13901,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2953]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13902,plain,
% 4.84/5.80      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 4.84/5.80      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13901]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2951,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5356_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13897,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2951]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13898,plain,
% 4.84/5.80      ( c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.80      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13897]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2949,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5355_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13893,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2949]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13894,plain,
% 4.84/5.80      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),X0)
% 4.84/5.80      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13893]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2940,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5352_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13875,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2940]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2937,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5351_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13869,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2937]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2925,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5347_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13845,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2925]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2922,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5346_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13839,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2922]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2919,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5345_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13833,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2919]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2916,plain,
% 4.84/5.80      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.80      | c_RealVector_Odist__class_Odist(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5344_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13827,plain,
% 4.84/5.80      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.80      | c_RealVector_Odist__class_Odist(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2916]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2913,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5343_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13821,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2913]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2911,plain,
% 4.84/5.80      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5342_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13817,plain,
% 4.84/5.80      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2911]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13818,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13817]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2909,plain,
% 4.84/5.80      ( c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X1 = c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5341_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13813,plain,
% 4.84/5.80      ( c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X1 = c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2909]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2907,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5340_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13809,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2907]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13810,plain,
% 4.84/5.80      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13809]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2904,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5339_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13803,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2904]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2901,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5338_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13797,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2901]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2899,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5337_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13793,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2899]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2897,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5336_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13789,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2897]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2889,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5333_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13773,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2889]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2887,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5332_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13769,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_HOL_Osgn__class_Osgn(X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2887]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2884,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5331_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13763,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2884]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2882,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5330_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13759,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2882]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13760,plain,
% 4.84/5.80      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.80      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13759]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2880,plain,
% 4.84/5.80      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.80      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5329_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13755,plain,
% 4.84/5.80      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.80      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2880]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2878,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X0 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5328_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13751,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Log_Opowr(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = X0 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2878]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2874,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5327_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13743,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = X2 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2874]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2860,plain,
% 4.84/5.80      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5323_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13715,plain,
% 4.84/5.80      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2860]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2858,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal) = X0 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5322_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13711,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oexp(c_Transcendental_Oln(X0),tc_RealDef_Oreal) = X0 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2858]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2856,plain,
% 4.84/5.80      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X0),tc_RealDef_Oreal) = X0 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5321_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13707,plain,
% 4.84/5.80      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oexp(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X0),tc_RealDef_Oreal) = X0 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2856]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2852,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5320_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13699,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2852]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13700,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13699]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2845,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Log_Olog(X0,X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5318_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13685,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Log_Olog(X0,X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2845]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2838,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5316_1) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13671,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2838]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2837,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5316_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13669,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2837]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2834,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5315_1) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13663,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2834]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2833,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5315_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13661,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2833]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2831,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5314_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13657,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2831]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13658,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13657]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2829,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5313_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13653,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.80      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2829]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13654,plain,
% 4.84/5.80      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.80      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13653]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2827,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5312_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13649,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2827]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2825,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5311_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13645,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2825]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13646,plain,
% 4.84/5.80      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 4.84/5.80      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13645]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2823,plain,
% 4.84/5.80      ( ~ class_Int_Onumber__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5310_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13641,plain,
% 4.84/5.80      ( ~ class_Int_Onumber__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2823]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2820,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5309_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13635,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2820]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2817,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5308_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13629,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(X1,X0) = X2 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2817]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2815,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5307_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13625,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2815]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2812,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5306_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13619,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 4.84/5.80      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2812]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2810,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5305_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13615,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2810]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2808,plain,
% 4.84/5.80      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5304_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13611,plain,
% 4.84/5.80      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2808]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2806,plain,
% 4.84/5.80      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5303_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13607,plain,
% 4.84/5.80      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.80      | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2806]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2804,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5302_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13603,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2804]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2800,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5300_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13595,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2800]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2798,plain,
% 4.84/5.80      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.80      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5299_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13591,plain,
% 4.84/5.80      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.80      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2798]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2796,plain,
% 4.84/5.80      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.80      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5298_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13587,plain,
% 4.84/5.80      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.80      | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2796]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2794,plain,
% 4.84/5.80      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.80      | c_RealVector_Odist__class_Odist(X1,X2,X0) = c_RealVector_Odist__class_Odist(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5297_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13583,plain,
% 4.84/5.80      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.80      | c_RealVector_Odist__class_Odist(X1,X2,X0) = c_RealVector_Odist__class_Odist(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2794]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2790,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5295_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13575,plain,
% 4.84/5.80      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.80      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2790]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2787,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.80      | c_lessequals(X1,X2,X0)
% 4.84/5.80      | c_lessequals(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5294_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13569,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.80      | c_lessequals(X1,X2,X0)
% 4.84/5.80      | c_lessequals(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2787]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13570,plain,
% 4.84/5.80      ( c_lessequals(X0,X1,X2)
% 4.84/5.80      | c_lessequals(X1,X0,X2)
% 4.84/5.80      | ~ class_Orderings_Olinorder(X2) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13569]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2778,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(X1,X1,X0)
% 4.84/5.80      | c_lessequals(X1,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5291_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13551,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(X1,X1,X0)
% 4.84/5.80      | c_lessequals(X1,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2778]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13552,plain,
% 4.84/5.80      ( c_lessequals(X0,X0,X1)
% 4.84/5.80      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 4.84/5.80      | ~ class_Orderings_Olinorder(X1) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13551]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2775,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.80      | c_lessequals(X2,X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5290_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13545,plain,
% 4.84/5.80      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.80      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.80      | c_lessequals(X2,X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2775]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13546,plain,
% 4.84/5.80      ( c_lessequals(X0,X1,X2)
% 4.84/5.80      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.84/5.80      | ~ class_Orderings_Olinorder(X2) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13545]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2766,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.80      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5287_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13527,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.80      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2766]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2729,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5276_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13453,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2729]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2727,plain,
% 4.84/5.80      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5275_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13449,plain,
% 4.84/5.80      ( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.80      | X0 = X1 ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2727]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2721,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5273_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13437,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X0)
% 4.84/5.80      | c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2721]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2719,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5272_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13433,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.80      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2719]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2710,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5269_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13415,plain,
% 4.84/5.80      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.80      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2710]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2707,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Log_Olog(X0,c_Log_Opowr(X0,X1)) = X1
% 4.84/5.80      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5268_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13409,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Log_Olog(X0,c_Log_Opowr(X0,X1)) = X1
% 4.84/5.80      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2707]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2705,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5267_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13405,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.80      | c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2705]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2703,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5266_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13401,plain,
% 4.84/5.80      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2703]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2701,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.80      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5265_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13397,plain,
% 4.84/5.80      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.80      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(copy,[status(esa)],[c_2701]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13398,plain,
% 4.84/5.80      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.80      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.80      inference(rewriting,[status(thm)],[c_13397]) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_2691,plain,
% 4.84/5.80      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.80      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.80      | X0 = X1 ),
% 4.84/5.80      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5262_0) ).
% 4.84/5.80  
% 4.84/5.80  cnf(c_13377,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | X0 = X1 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2691]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2686,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5260_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13367,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2686]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2684,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5259_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13363,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2684]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2682,plain,
% 4.84/5.81      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.81      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5258_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13359,plain,
% 4.84/5.81      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.81      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2682]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2680,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5257_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13355,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2680]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2676,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5255_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13347,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2676]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2674,plain,
% 4.84/5.81      ( ~ class_Int_Onumber__ring(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5254_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13343,plain,
% 4.84/5.81      ( ~ class_Int_Onumber__ring(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2674]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2672,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5253_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13339,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2672]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2670,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5252_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13335,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2670]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2667,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.81      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5251_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13329,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.81      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2667]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2664,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.81      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5250_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13323,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.81      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2664]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2662,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5249_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13319,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2662]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13320,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.81      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13319]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2660,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oln(X0),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5248_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13315,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oln(X0),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2660]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2658,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5247_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13311,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X0),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2658]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2655,plain,
% 4.84/5.81      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | c_lessequals(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5246_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13305,plain,
% 4.84/5.81      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | c_lessequals(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2655]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13306,plain,
% 4.84/5.81      ( c_lessequals(X0,X1,X2)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.81      | ~ class_Orderings_Opreorder(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13305]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2652,plain,
% 4.84/5.81      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | c_lessequals(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5245_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13299,plain,
% 4.84/5.81      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | c_lessequals(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2652]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13300,plain,
% 4.84/5.81      ( c_lessequals(X0,X1,X2)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.81      | ~ class_Orderings_Oorder(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13299]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2634,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5239_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13263,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Int_Onumber__ring(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2634]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2632,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5238_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13259,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2632]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13260,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13259]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2630,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5237_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13255,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2630]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13256,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13255]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2628,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5236_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13251,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2628]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13252,plain,
% 4.84/5.81      ( c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13251]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2626,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5235_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13247,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2626]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13248,plain,
% 4.84/5.81      ( c_lessequals(c_Transcendental_Oarctan(X0),c_Transcendental_Oarctan(X1),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13247]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2618,plain,
% 4.84/5.81      ( ~ class_RealVector_Osgn__div__norm(X0)
% 4.84/5.81      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal),X1,X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5232_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13231,plain,
% 4.84/5.81      ( ~ class_RealVector_Osgn__div__norm(X0)
% 4.84/5.81      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal),X1,X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2618]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2584,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5223_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13163,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2584]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13164,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13163]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2582,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5222_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13159,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2582]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13160,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13159]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2580,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5221_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13155,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2580]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13156,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X0),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13155]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2578,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5220_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13151,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2578]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13152,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13151]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2574,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5218_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13143,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2574]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13144,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13143]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2572,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5217_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13139,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2572]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13140,plain,
% 4.84/5.81      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13139]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2570,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5216_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13135,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2570]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13136,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13135]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2566,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5214_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13127,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2566]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13128,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13127]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2564,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5213_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13123,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2564]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13124,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13123]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2562,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5212_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13119,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2562]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13120,plain,
% 4.84/5.81      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13119]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2558,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5210_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13111,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2558]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13112,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13111]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2556,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5209_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13107,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2556]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2554,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5208_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13103,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2554]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2552,plain,
% 4.84/5.81      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5207_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13099,plain,
% 4.84/5.81      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2552]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2550,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5206_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13095,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2550]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2548,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5205_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13091,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2548]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2546,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5204_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13087,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2546]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2544,plain,
% 4.84/5.81      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5203_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13083,plain,
% 4.84/5.81      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2544]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2542,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5202_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13079,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2542]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2540,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5201_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13075,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2540]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2538,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5200_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13071,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2538]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2536,plain,
% 4.84/5.81      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5199_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13067,plain,
% 4.84/5.81      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2536]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2530,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5197_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13055,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2530]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2528,plain,
% 4.84/5.81      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5196_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13051,plain,
% 4.84/5.81      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2528]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13052,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13051]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2526,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5195_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13047,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2526]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2524,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5194_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13043,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0))) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2524]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2522,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X0),X0,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5193_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13039,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X0),X0,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2522]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2520,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5192_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13035,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2520]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2518,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5191_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13031,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2518]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2516,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5190_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13027,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2516]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13028,plain,
% 4.84/5.81      ( c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13027]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2514,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5189_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13023,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2514]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13024,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13023]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2512,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5188_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13019,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2512]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2510,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5187_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13015,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2510]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2508,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5186_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13011,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2508]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2506,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5185_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13007,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2506]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2504,plain,
% 4.84/5.81      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5184_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13003,plain,
% 4.84/5.81      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2504]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13004,plain,
% 4.84/5.81      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 4.84/5.81      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_13003]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2502,plain,
% 4.84/5.81      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5183_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12999,plain,
% 4.84/5.81      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2502]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_13000,plain,
% 4.84/5.81      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 4.84/5.81      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12999]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2500,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5182_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12995,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2500]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12996,plain,
% 4.84/5.81      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,X2),X2)
% 4.84/5.81      | ~ class_Lattices_Olattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12995]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2498,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5181_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12991,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2498]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12992,plain,
% 4.84/5.81      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X2)
% 4.84/5.81      | ~ class_Lattices_Olattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12991]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2496,plain,
% 4.84/5.81      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5180_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12987,plain,
% 4.84/5.81      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2496]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12988,plain,
% 4.84/5.81      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 4.84/5.81      | ~ class_Lattices_Olower__semilattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12987]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2494,plain,
% 4.84/5.81      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5179_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12983,plain,
% 4.84/5.81      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2494]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12984,plain,
% 4.84/5.81      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 4.84/5.81      | ~ class_Lattices_Olower__semilattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12983]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2492,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5178_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12979,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2492]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12980,plain,
% 4.84/5.81      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X1,X2)
% 4.84/5.81      | ~ class_Lattices_Olattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12979]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2490,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5177_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12975,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2490]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12976,plain,
% 4.84/5.81      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X0,X2)
% 4.84/5.81      | ~ class_Lattices_Olattice(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12975]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2488,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = X1 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5176_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12971,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = X1 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2488]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2486,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5175_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12967,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2486]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2484,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5174_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12963,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2484]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2482,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = X1 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5173_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12959,plain,
% 4.84/5.81      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.81      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = X1 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2482]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2479,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 4.84/5.81      | X1 = X0 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5172_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12953,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 4.84/5.81      | X1 = X0 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2479]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2477,plain,
% 4.84/5.81      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.81      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5171_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12949,plain,
% 4.84/5.81      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.81      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2477]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12950,plain,
% 4.84/5.81      ( c_lessequals(c_RealVector_Odist__class_Odist(X0,X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ class_RealVector_Ometric__space(X1) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12949]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2475,plain,
% 4.84/5.81      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5170_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12945,plain,
% 4.84/5.81      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X0),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2475]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12946,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X1,X2),tc_RealDef_Oreal)
% 4.84/5.81      | ~ class_RealVector_Ometric__space(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12945]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2473,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5169_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12941,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2473]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2471,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5168_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12937,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2471]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2468,plain,
% 4.84/5.81      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 4.84/5.81      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | X1 = X2 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5167_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12931,plain,
% 4.84/5.81      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 4.84/5.81      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | X1 = X2 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2468]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2465,plain,
% 4.84/5.81      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | X0 = X2 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5166_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12925,plain,
% 4.84/5.81      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | X0 = X2 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2465]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2463,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5165_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12921,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2463]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2458,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5163_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12911,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2458]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2455,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5162_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12905,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2455]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2452,plain,
% 4.84/5.81      ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5161_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12899,plain,
% 4.84/5.81      ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2452]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12900,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.84/5.81      | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12899]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2450,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5160_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12895,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2450]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12896,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12895]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2447,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5159_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12889,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2447]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2444,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5158_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12883,plain,
% 4.84/5.81      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.81      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2444]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2438,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5156_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12871,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2438]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12872,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12871]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2435,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5155_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12865,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2435]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2432,plain,
% 4.84/5.81      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5154_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12859,plain,
% 4.84/5.81      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2432]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12860,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.84/5.81      | ~ class_Orderings_Oorder(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12859]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2429,plain,
% 4.84/5.81      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5153_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12853,plain,
% 4.84/5.81      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2429]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12854,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.84/5.81      | ~ class_Orderings_Olinorder(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12853]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2423,plain,
% 4.84/5.81      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5151_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12841,plain,
% 4.84/5.81      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2423]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12842,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.84/5.81      | ~ class_Orderings_Opreorder(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12841]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2417,plain,
% 4.84/5.81      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_lessequals(X2,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5149_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12829,plain,
% 4.84/5.81      ( ~ class_Orderings_Olinorder(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.81      | ~ c_lessequals(X2,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2417]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12830,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,X2)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.84/5.81      | ~ class_Orderings_Olinorder(X2) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12829]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2408,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 4.84/5.81      | X1 = X2 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5146_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12811,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 4.84/5.81      | X1 = X2 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2408]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2405,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5145_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12805,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2405]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2402,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 4.84/5.81      | X1 = X3 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5144_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12799,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X3,X2,X0)
% 4.84/5.81      | X1 = X3 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2402]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2399,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5143_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12793,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2399]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2396,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5142_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12787,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 4.84/5.81      | c_HOL_Oplus__class_Oplus(X1,X2,X0) != c_HOL_Oplus__class_Oplus(X1,X3,X0)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2396]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2394,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5141_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12783,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2394]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12784,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12783]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2392,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5140_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12779,plain,
% 4.84/5.81      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2392]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12780,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12779]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2390,plain,
% 4.84/5.81      ( ~ c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5139_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12775,plain,
% 4.84/5.81      ( ~ c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2390]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2388,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5138_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12771,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2388]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2386,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5137_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12767,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2386]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12768,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(X1),X1),X1)
% 4.84/5.81      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12767]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2366,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5132_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12727,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2366]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2358,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5130_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12711,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2358]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2356,plain,
% 4.84/5.81      ( ~ class_RealVector_Odist__norm(X0)
% 4.84/5.81      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Odist__class_Odist(X1,X2,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5129_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12707,plain,
% 4.84/5.81      ( ~ class_RealVector_Odist__norm(X0)
% 4.84/5.81      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Odist__class_Odist(X1,X2,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2356]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2354,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5128_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12703,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.81      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2354]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2352,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5127_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12699,plain,
% 4.84/5.81      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2352]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12700,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12699]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2350,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5126_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12695,plain,
% 4.84/5.81      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.81      | c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2350]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12696,plain,
% 4.84/5.81      ( c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.81      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12695]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2331,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.81      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5120_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12657,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.81      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 4.84/5.81      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.81      | X2 = X3 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2331]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2327,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.81      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | X1 = X3 ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5119_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12649,plain,
% 4.84/5.81      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.81      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 4.84/5.81      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.81      | X1 = X3 ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2327]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2314,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5115_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12623,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.81      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2314]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2311,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5114_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12617,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2311]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12618,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12617]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2308,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5113_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12611,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2308]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12612,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.81      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12611]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2305,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5112_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12605,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.81      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2305]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12606,plain,
% 4.84/5.81      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.81      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.81      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12605]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2302,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.81      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.81      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5111_0) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12599,plain,
% 4.84/5.81      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.81      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.81      inference(copy,[status(esa)],[c_2302]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_12600,plain,
% 4.84/5.81      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.81      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.81      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.84/5.81      inference(rewriting,[status(thm)],[c_12599]) ).
% 4.84/5.81  
% 4.84/5.81  cnf(c_2299,plain,
% 4.84/5.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5110_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12593,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2299]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12594,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12593]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2293,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5108_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12581,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2293]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12582,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Osgn__class_Osgn(X1,X0),X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12581]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2284,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5105_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12563,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2284]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2277,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5103_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12549,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2277]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12550,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12549]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2274,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5102_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12543,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2274]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12544,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.84/5.82      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12543]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2271,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.82      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5101_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12537,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.82      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2271]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12538,plain,
% 4.84/5.82      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 4.84/5.82      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12537]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2268,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5100_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12531,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2268]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12532,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 4.84/5.82      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12531]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2265,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.82      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5099_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12525,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 4.84/5.82      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2265]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12526,plain,
% 4.84/5.82      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 4.84/5.82      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12525]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2263,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5098_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12521,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2263]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2261,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5097_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12517,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) = X2 ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2261]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2257,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 4.84/5.82      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 4.84/5.82      | X1 = X2 ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5096_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12509,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oidom(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 4.84/5.82      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 4.84/5.82      | X1 = X2 ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2257]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2255,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5095_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12505,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2255]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2251,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5094_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12497,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2251]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12498,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12497]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2247,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5093_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12489,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2247]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12490,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 4.84/5.82      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12489]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2243,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5092_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12481,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2243]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12482,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12481]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2239,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5091_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12473,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2239]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12474,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12473]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2235,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5090_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12465,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2235]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12466,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12465]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2231,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5089_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12457,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2231]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12458,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12457]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2227,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5088_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12449,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2227]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12450,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12449]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2221,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5086_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12437,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2221]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12438,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12437]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2218,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5085_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12431,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2218]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12432,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 4.84/5.82      | ~ c_lessequals(X2,X0,X1)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12431]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2215,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5084_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12425,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2215]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12426,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12425]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2195,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5078_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12385,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2195]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12386,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12385]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2189,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5076_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12373,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2189]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12374,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12373]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2187,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5075_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12369,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2187]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2183,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5073_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12361,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2183]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2181,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5072_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12357,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2181]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2179,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5071_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12353,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2179]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2177,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5070_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12349,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2177]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2173,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5068_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12341,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2173]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2169,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5066_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12333,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2169]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2167,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5065_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12329,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2167]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2165,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5064_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12325,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2165]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2163,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5063_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12321,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2163]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2161,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5062_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12317,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2161]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2159,plain,
% 4.84/5.82      ( ~ c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5061_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12313,plain,
% 4.84/5.82      ( ~ c_lessequals(c_Transcendental_Oexp(X0,tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2159]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2147,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5058_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12289,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2147]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12290,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12289]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2116,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5050_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12227,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2116]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2111,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.84/5.82      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5048_1) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12217,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.84/5.82      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2111]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12218,plain,
% 4.84/5.82      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12217]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2105,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5046_1) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12205,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2105]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12206,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12205]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2099,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5044_1) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12193,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2099]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12194,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12193]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2093,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5042_1) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12181,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2093]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12182,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12181]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2083,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5039_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12161,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2083]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2082,plain,
% 4.84/5.82      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5038_2) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12159,plain,
% 4.84/5.82      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2082]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2081,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5038_1) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12157,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2081]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2080,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5038_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12155,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2080]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2078,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5037_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12151,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = X2 ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2078]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2074,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_Log_Opowr(X1,c_Log_Olog(X1,X0)) = X0
% 4.84/5.82      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5036_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12143,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_Log_Opowr(X1,c_Log_Olog(X1,X0)) = X0
% 4.84/5.82      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2074]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2072,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5035_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12139,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2072]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2070,plain,
% 4.84/5.82      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5034_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12135,plain,
% 4.84/5.82      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2070]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2068,plain,
% 4.84/5.82      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5033_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12131,plain,
% 4.84/5.82      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2068]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2066,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5032_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12127,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2066]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2064,plain,
% 4.84/5.82      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.82      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5031_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12123,plain,
% 4.84/5.82      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.82      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2064]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2062,plain,
% 4.84/5.82      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.82      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5030_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12119,plain,
% 4.84/5.82      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.82      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2062]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2060,plain,
% 4.84/5.82      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.82      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5029_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12115,plain,
% 4.84/5.82      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.82      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2060]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2058,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5028_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12111,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2058]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2056,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5027_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12107,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2056]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2048,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5024_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12091,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Osgn__class_Osgn(X1,tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2048]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2046,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5023_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12087,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2046]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2044,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5022_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12083,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2044]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2042,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5021_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12079,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2042]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2039,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5020_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12073,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2039]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12074,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12073]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2036,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5019_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12067,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2036]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12068,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12067]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2034,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5018_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12063,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2034]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2032,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5017_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12059,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2032]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2030,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5016_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12055,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2030]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2028,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5015_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12051,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2028]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2026,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5014_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12047,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2026]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2024,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.82      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5013_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12043,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.82      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2024]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2022,plain,
% 4.84/5.82      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5012_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12039,plain,
% 4.84/5.82      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2022]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2020,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5011_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12035,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2020]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2018,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5010_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12031,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2018]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2016,plain,
% 4.84/5.82      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5009_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12027,plain,
% 4.84/5.82      ( ~ class_Lattices_Oboolean__algebra(X0)
% 4.84/5.82      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2016]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2014,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5008_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12023,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2014]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2012,plain,
% 4.84/5.82      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.82      | c_lessequals(X1,X2,X0)
% 4.84/5.82      | ~ c_lessequals(X3,X2,X0)
% 4.84/5.82      | ~ c_lessequals(X1,X3,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5007_2) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12019,plain,
% 4.84/5.82      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.82      | c_lessequals(X1,X2,X0)
% 4.84/5.82      | ~ c_lessequals(X3,X2,X0)
% 4.84/5.82      | ~ c_lessequals(X1,X3,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2012]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_12020,plain,
% 4.84/5.82      ( c_lessequals(X0,X1,X2)
% 4.84/5.82      | ~ c_lessequals(X3,X1,X2)
% 4.84/5.82      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.82      | ~ class_Orderings_Oorder(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_12019]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_2000,plain,
% 4.84/5.82      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.82      | c_lessequals(X1,X2,X0)
% 4.84/5.82      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.82      | ~ c_lessequals(X3,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5004_2) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11995,plain,
% 4.84/5.82      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.82      | c_lessequals(X1,X2,X0)
% 4.84/5.82      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.82      | ~ c_lessequals(X3,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_2000]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11996,plain,
% 4.84/5.82      ( c_lessequals(X0,X1,X2)
% 4.84/5.82      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.82      | ~ c_lessequals(X3,X1,X2)
% 4.84/5.82      | ~ class_Orderings_Opreorder(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11995]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1988,plain,
% 4.84/5.82      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5001_2) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11971,plain,
% 4.84/5.82      ( ~ class_Orderings_Opreorder(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1988]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11972,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.84/5.82      | ~ class_Orderings_Opreorder(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11971]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1984,plain,
% 4.84/5.82      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_5000_2) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11963,plain,
% 4.84/5.82      ( ~ class_Orderings_Oorder(X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1984]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11964,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.84/5.82      | ~ class_Orderings_Oorder(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11963]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1979,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4999_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11953,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1979]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1976,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4998_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11947,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1976]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1973,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4997_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11941,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1973]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1970,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4996_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11935,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | ~ class_RealVector_Oreal__algebra__1(X0)
% 4.84/5.82      | c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1970]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1964,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4994_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11923,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1964]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1961,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4993_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11917,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.82      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1961]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1958,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4992_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11911,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1958]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11912,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11911]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1945,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4988_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11885,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1945]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11886,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__div__algebra(X0)
% 4.84/5.82      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11885]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1933,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4984_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11861,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.82      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1933]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1924,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4981_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11843,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1924]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11844,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11843]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1915,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4978_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11825,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1915]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11826,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X0),tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11825]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1913,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4977_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11821,plain,
% 4.84/5.82      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1913]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11822,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11821]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1910,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4976_1) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11815,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1910]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1909,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4976_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11813,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.82      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1909]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1907,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4975_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11809,plain,
% 4.84/5.82      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.82      | c_HOL_Oplus__class_Oplus(X1,X1,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1907]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1905,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4974_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11805,plain,
% 4.84/5.82      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.82      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1905]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1903,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.82      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4973_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11801,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.82      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1903]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1900,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4972_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11795,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1900]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11796,plain,
% 4.84/5.82      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 4.84/5.82      | ~ c_lessequals(X1,X3,X2)
% 4.84/5.82      | ~ class_Lattices_Olower__semilattice(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11795]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1897,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4971_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11789,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1897]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11790,plain,
% 4.84/5.82      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 4.84/5.82      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.82      | ~ class_Lattices_Olower__semilattice(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11789]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1894,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4970_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11783,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1894]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11784,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 4.84/5.82      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11783]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1891,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4969_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11777,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1891]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11778,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 4.84/5.82      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11777]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1888,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4968_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11771,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1888]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11772,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.84/5.82      | ~ class_Lattices_Olower__semilattice(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11771]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1885,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4967_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11765,plain,
% 4.84/5.82      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X0),X2,X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1885]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11766,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),X3,X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.84/5.82      | ~ class_Lattices_Olower__semilattice(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11765]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1882,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4966_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11759,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1882]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11760,plain,
% 4.84/5.82      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 4.84/5.82      | ~ c_lessequals(X0,X2,X3)
% 4.84/5.82      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11759]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1879,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4965_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11753,plain,
% 4.84/5.82      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1879]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11754,plain,
% 4.84/5.82      ( c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
% 4.84/5.82      | ~ c_lessequals(X0,X1,X3)
% 4.84/5.82      | ~ class_Lattices_Oupper__semilattice(X3) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11753]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1872,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal))
% 4.84/5.82      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4963_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11739,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Ouminus__class_Ouminus(c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X1,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal))
% 4.84/5.82      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1872]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1870,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X0),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4962_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11735,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1(X0),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1870]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1867,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4961_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11729,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1867]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11730,plain,
% 4.84/5.82      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11729]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1864,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4960_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11723,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.82      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1864]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11724,plain,
% 4.84/5.82      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11723]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1861,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4959_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11717,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.82      | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1861]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11718,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.82      | ~ c_lessequals(X0,X1,X2)
% 4.84/5.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11717]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1859,plain,
% 4.84/5.82      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4958_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11713,plain,
% 4.84/5.82      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X1,X0),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1859]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11714,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,X0,X1),tc_RealDef_Oreal)
% 4.84/5.82      | ~ class_RealVector_Ometric__space(X1) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11713]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1857,plain,
% 4.84/5.82      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4957_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11709,plain,
% 4.84/5.82      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1857]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11710,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | ~ class_RealVector_Ometric__space(X2) ),
% 4.84/5.82      inference(rewriting,[status(thm)],[c_11709]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1851,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X0,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X0)) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4955_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11697,plain,
% 4.84/5.82      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.82      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.82      | c_HOL_Otimes__class_Otimes(X0,c_Transcendental_Oln(X1),tc_RealDef_Oreal) = c_Transcendental_Oln(c_Log_Opowr(X1,X0)) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1851]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1849,plain,
% 4.84/5.82      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4954_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11693,plain,
% 4.84/5.82      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1849]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1847,plain,
% 4.84/5.82      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4953_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11689,plain,
% 4.84/5.82      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.82      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1847]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_1844,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4952_0) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11683,plain,
% 4.84/5.82      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.82      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.82      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.82      inference(copy,[status(esa)],[c_1844]) ).
% 4.84/5.82  
% 4.84/5.82  cnf(c_11684,plain,
% 4.84/5.82      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11683]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1841,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4951_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11677,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1841]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11678,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11677]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1839,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4950_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11673,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1839]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11674,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11673]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1836,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4949_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11667,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1836]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11668,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X1,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11667]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1833,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4948_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11661,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1833]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11662,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11661]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1830,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4947_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11655,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1830]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11656,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11655]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1815,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 4.84/5.83      | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4943_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11625,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != X2
% 4.84/5.83      | X1 = c_HOL_Ouminus__class_Ouminus(X3,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1815]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1806,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4940_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11607,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_Log_Opowr(X2,X0),c_Log_Opowr(X2,X1),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1806]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11608,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11607]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1803,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4939_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11601,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1803]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11602,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11601]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1801,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4938_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11597,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1801]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11598,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11597]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1799,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4937_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11593,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1799]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11594,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11593]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1796,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4936_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11587,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1796]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11588,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11587]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1794,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4935_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11583,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1794]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11584,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11583]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1792,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4934_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11579,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1792]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11580,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11579]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1790,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4933_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11575,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1790]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1788,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4932_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11571,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1788]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1782,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4930_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11559,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1782]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11560,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11559]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1778,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4929_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11551,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1778]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11552,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11551]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1774,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4928_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11543,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1774]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11544,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11543]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1770,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4927_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11535,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1770]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11536,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11535]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1766,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4926_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11527,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1766]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11528,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11527]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1752,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,X1,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4923_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11499,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,X1,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1752]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11500,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 4.84/5.83      | ~ c_lessequals(X2,X0,X1)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11499]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1748,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4922_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11491,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1748]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11492,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 4.84/5.83      | ~ c_lessequals(X2,X0,X1)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11491]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1737,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(X0,c_Log_Olog(X2,X1),tc_RealDef_Oreal) = c_Log_Olog(X2,c_Log_Opowr(X1,X0)) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4919_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11469,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(X0,c_Log_Olog(X2,X1),tc_RealDef_Oreal) = c_Log_Olog(X2,c_Log_Opowr(X1,X0)) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1737]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1724,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 4.84/5.83      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4916_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11443,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 4.84/5.83      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1724]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1702,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4911_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11399,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1702]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11400,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 4.84/5.83      | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11399]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1700,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4910_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11395,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1700]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1695,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4908_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11385,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1695]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1692,plain,
% 4.84/5.83      ( ~ c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4907_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11379,plain,
% 4.84/5.83      ( ~ c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1692]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11380,plain,
% 4.84/5.83      ( ~ c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11379]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1686,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4905_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11367,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1686]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11368,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_11367]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1610,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4883_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11215,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1610]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1600,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4880_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11195,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1600]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1598,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4879_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11191,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1598]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1596,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4878_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11187,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1596]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1594,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4877_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11183,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1594]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1592,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4876_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11179,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1592]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1588,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4874_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11171,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1588]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1586,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4873_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11167,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1586]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1584,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4872_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11163,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1584]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1582,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4871_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11159,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1582]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1580,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4870_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11155,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1580]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1578,plain,
% 4.84/5.83      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4869_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11151,plain,
% 4.84/5.83      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1578]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1576,plain,
% 4.84/5.83      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4868_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11147,plain,
% 4.84/5.83      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.83      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1576]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1574,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4867_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11143,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1574]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1572,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4866_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11139,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1572]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1568,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4864_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11131,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1568]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1564,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4862_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11123,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.83      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1564]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1560,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4860_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11115,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1560]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1558,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4859_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11111,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1558]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1554,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4857_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11103,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1554]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1552,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4856_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11099,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1552]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1550,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4855_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11095,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1550]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1548,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4854_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11091,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1548]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1546,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4853_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11087,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1546]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1544,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4852_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11083,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X0) = c_HOL_Oplus__class_Oplus(X1,X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1544]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1540,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4850_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11075,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1540]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1536,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4848_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11067,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1536]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1534,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4847_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11063,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1534]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1532,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4846_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11059,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 4.84/5.83      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1532]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1530,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4845_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11055,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1530]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1528,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4844_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11051,plain,
% 4.84/5.83      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1528]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1526,plain,
% 4.84/5.83      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4843_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11047,plain,
% 4.84/5.83      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),X3,X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1526]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1524,plain,
% 4.84/5.83      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4842_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11043,plain,
% 4.84/5.83      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.83      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1524]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1507,plain,
% 4.84/5.83      ( ~ c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4836_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_11009,plain,
% 4.84/5.83      ( ~ c_lessequals(c_Transcendental_Oln(X0),c_Transcendental_Oln(X1),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1507]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1498,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4834_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10991,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1498]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1495,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 4.84/5.83      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4833_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10985,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 4.84/5.83      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1495]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1492,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4832_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10979,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1492]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1489,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4831_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10973,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1489]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10974,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10973]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1488,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4830_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10971,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1488]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1485,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4829_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10965,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1485]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1479,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4827_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10953,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1479]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1475,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.83      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4826_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10945,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.83      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1475]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1472,plain,
% 4.84/5.83      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.84/5.83      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4825_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10939,plain,
% 4.84/5.83      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 4.84/5.83      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1472]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10940,plain,
% 4.84/5.83      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X0),X2,X0)
% 4.84/5.83      | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10939]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1469,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.83      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4824_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10933,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X1,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.83      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1469]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1466,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4823_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10927,plain,
% 4.84/5.83      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.83      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1466]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1456,plain,
% 4.84/5.83      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.83      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 4.84/5.83      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.83      | ~ c_lessequals(X2,X3,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4820_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10907,plain,
% 4.84/5.83      ( ~ class_Lattices_Oupper__semilattice(X0)
% 4.84/5.83      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
% 4.84/5.83      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.83      | ~ c_lessequals(X2,X3,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1456]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10908,plain,
% 4.84/5.83      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X2),X3,X2)
% 4.84/5.83      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.83      | ~ c_lessequals(X1,X3,X2)
% 4.84/5.83      | ~ class_Lattices_Oupper__semilattice(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10907]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1444,plain,
% 4.84/5.83      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.83      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | ~ c_lessequals(X1,X3,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4817_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10883,plain,
% 4.84/5.83      ( ~ class_Lattices_Olower__semilattice(X0)
% 4.84/5.83      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | ~ c_lessequals(X1,X3,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1444]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10884,plain,
% 4.84/5.83      ( c_lessequals(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
% 4.84/5.83      | ~ c_lessequals(X0,X1,X3)
% 4.84/5.83      | ~ c_lessequals(X0,X2,X3)
% 4.84/5.83      | ~ class_Lattices_Olower__semilattice(X3) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10883]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1440,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4816_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10875,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X0),X0),X1,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1440]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1438,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4815_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10871,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1438]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1434,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 4.84/5.83      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4814_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10863,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 4.84/5.83      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1434]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1430,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4813_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10855,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 4.84/5.83      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1430]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1428,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4812_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10851,plain,
% 4.84/5.83      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1428]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10852,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10851]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1425,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal)) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4811_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10845,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal)) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1425]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1422,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal)) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4810_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10839,plain,
% 4.84/5.83      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X0),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal)) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1422]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1368,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4797_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10731,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1368]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10732,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10731]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1365,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4796_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10725,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1365]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10726,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10725]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1362,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4795_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10719,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1362]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10720,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10719]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1359,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4794_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10713,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1359]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10714,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10713]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1356,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4793_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10707,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1356]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10708,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 4.84/5.83      | ~ c_lessequals(X1,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10707]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1353,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4792_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10701,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1353]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10702,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 4.84/5.83      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10701]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1350,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4791_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10695,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1350]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10696,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X0,X3,X2),X2)
% 4.84/5.83      | ~ c_lessequals(X1,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10695]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1347,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4790_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10689,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.84/5.83      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1347]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10690,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
% 4.84/5.83      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10689]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1344,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4789_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10683,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1344]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1341,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4788_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10677,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1341]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10678,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10677]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1327,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4784_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10649,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1327]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10650,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10649]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1321,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4783_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10637,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1321]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10638,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10637]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1315,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4781_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10625,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1315]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10626,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10625]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1311,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4780_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10617,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1311]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10618,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10617]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1307,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4779_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10609,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1307]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10610,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10609]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1303,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4778_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10601,plain,
% 4.84/5.83      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1303]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10602,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10601]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1277,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4772_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10549,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1277]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10550,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10549]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1273,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4771_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10541,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1273]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10542,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10541]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1265,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4769_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10525,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1265]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10526,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10525]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1261,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4768_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10517,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1261]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10518,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10517]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1257,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4767_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10509,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1257]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10510,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10509]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1255,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4766_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10505,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1255]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10506,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10505]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1251,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4765_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10497,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1251]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10498,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10497]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1247,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4764_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10489,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1247]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10490,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10489]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1243,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4763_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10481,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1243]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10482,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10481]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1239,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4762_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10473,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1239]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10474,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10473]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1231,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4760_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10457,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1231]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10458,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10457]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1227,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4759_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10449,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1227]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10450,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10449]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1223,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4758_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10441,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1223]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10442,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10441]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1219,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4757_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10433,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1219]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10434,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10433]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1205,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4754_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10405,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1205]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10406,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10405]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1201,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4753_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10397,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1201]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10398,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10397]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1189,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4750_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10373,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1189]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10374,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10373]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1193,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4751_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10381,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1193]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10382,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10381]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1187,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),X0,tc_RealDef_Oreal) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4749_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10369,plain,
% 4.84/5.83      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.83      | c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),X0,tc_RealDef_Oreal) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1187]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1177,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4747_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10349,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1177]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10350,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10349]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1174,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4746_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10343,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1174]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10344,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10343]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1169,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4745_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10333,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1169]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10334,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10333]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1162,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4744_0) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10319,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1162]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10320,plain,
% 4.84/5.83      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.83      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10319]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1154,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4742_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10303,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1154]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10304,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10303]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1149,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4741_2) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10293,plain,
% 4.84/5.83      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.84/5.83      inference(copy,[status(esa)],[c_1149]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_10294,plain,
% 4.84/5.83      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.83      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.83      inference(rewriting,[status(thm)],[c_10293]) ).
% 4.84/5.83  
% 4.84/5.83  cnf(c_1143,plain,
% 4.84/5.83      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.83      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.83      | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4740_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_10281,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_1143]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_10282,plain,
% 4.84/5.84      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X0,X1),X1),c_HOL_Oinverse__class_Oinverse(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(X2,c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_10281]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_1141,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4739_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_10277,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_1141]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_1139,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4738_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_10273,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_1139]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_1037,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4716_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_10069,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X2) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_1037]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_1014,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),X2) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4711_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_10023,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_Log_Opowr(X1,X2),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) = c_Log_Opowr(c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal),X2) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_1014]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_991,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4706_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9977,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) != c_HOL_Oplus__class_Oplus(X2,X4,X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(X1,X3,X0) = X4 ),
% 4.84/5.84      inference(copy,[status(esa)],[c_991]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_989,plain,
% 4.84/5.84      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4705_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9973,plain,
% 4.84/5.84      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_989]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_987,plain,
% 4.84/5.84      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4704_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9969,plain,
% 4.84/5.84      ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_987]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_957,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4696_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9909,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_957]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9910,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9909]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_954,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4695_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9903,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_954]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9904,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9903]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_946,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4692_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9887,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_946]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_942,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4690_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9879,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_942]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_940,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4689_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9875,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_940]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_936,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4687_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9867,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X3,X2,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X3,tc_RealDef_Oreal),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_936]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_934,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4686_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9863,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_934]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_932,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4685_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9859,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_932]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_930,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4684_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9855,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_930]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_928,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4683_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9851,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_928]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_926,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4682_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9847,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_926]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_924,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4681_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9843,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_924]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_922,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4680_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9839,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_922]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_920,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4679_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9835,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_920]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_916,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4677_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9827,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_916]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_912,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4675_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9819,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_912]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_910,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4674_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9815,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_910]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_908,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4673_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9811,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_908]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_906,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4672_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9807,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_906]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_904,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4671_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9803,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_904]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_902,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4670_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9799,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_902]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_900,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4669_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9795,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_900]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_898,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4668_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9791,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_898]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_896,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4667_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9787,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_896]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_894,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4666_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9783,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_894]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_892,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4665_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9779,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X0),X0) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_892]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_888,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4663_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9771,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_888]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_886,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4662_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9767,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_886]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_882,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4660_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9759,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_882]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_878,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4658_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9751,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_878]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_876,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4657_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9747,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_876]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_874,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4656_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9743,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_874]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_872,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4655_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9739,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_872]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_870,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4654_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9735,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_870]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_868,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4653_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9731,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__vector(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_868]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_866,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4652_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9727,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_866]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_864,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4651_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9723,plain,
% 4.84/5.84      ( ~ class_Lattices_Odistrib__lattice(X0)
% 4.84/5.84      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_864]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_861,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4650_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9717,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_861]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_858,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4649_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9711,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_858]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_855,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4648_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9705,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_855]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_853,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4647_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9701,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_853]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9702,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.84/5.84      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9701]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_841,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 4.84/5.84      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.84      | ~ c_lessequals(X2,X4,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4644_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9677,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0)
% 4.84/5.84      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.84      | ~ c_lessequals(X2,X4,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_841]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9678,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
% 4.84/5.84      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.84      | ~ c_lessequals(X1,X4,X2)
% 4.84/5.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9677]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_802,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4637_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9599,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_802]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9600,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.84      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9599]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_797,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4636_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9589,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_797]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9590,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.84      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.84      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9589]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_775,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4631_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9545,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_775]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9546,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9545]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_771,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4630_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9537,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_771]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9538,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9537]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_759,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4627_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9513,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_759]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9514,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9513]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_755,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4626_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9505,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_755]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9506,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9505]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_699,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4612_1) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9393,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_699]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_698,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4612_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9391,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_698]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_692,plain,
% 4.84/5.84      ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4610_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9379,plain,
% 4.84/5.84      ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_692]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9380,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9379]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_665,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4602_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9325,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),X0) = X1 ),
% 4.84/5.84      inference(copy,[status(esa)],[c_665]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_663,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4601_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9321,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0) = X2 ),
% 4.84/5.84      inference(copy,[status(esa)],[c_663]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_659,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4599_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9313,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0) = X1 ),
% 4.84/5.84      inference(copy,[status(esa)],[c_659]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_654,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X2,X1),c_Log_Olog(X2,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal))
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4598_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9303,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_Log_Olog(X2,X1),c_Log_Olog(X2,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,c_HOL_Oinverse__class_Odivide(X1,X0,tc_RealDef_Oreal))
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_654]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_649,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X2,X1),c_Log_Olog(X2,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal))
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4597_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9293,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_Log_Olog(X2,X1),c_Log_Olog(X2,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal))
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_649]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_644,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,X0)
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.84      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4596_1) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9283,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,X0)
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.84      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_644]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_643,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,X0)
% 4.84/5.84      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4596_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9281,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal),c_Log_Olog(X1,X0),tc_RealDef_Oreal) = c_Log_Olog(X2,X0)
% 4.84/5.84      | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 4.84/5.84      | X2 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_643]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_640,plain,
% 4.84/5.84      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X0),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4595_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9275,plain,
% 4.84/5.84      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X0),X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_640]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9276,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X0),X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(c_Transcendental_Oexp(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9275]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_638,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4594_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9271,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_638]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9272,plain,
% 4.84/5.84      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X0,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9271]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_636,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4593_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9267,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_636]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9268,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9267]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_634,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4592_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9263,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_634]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9264,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X0,X2,X1),X1),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9263]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_632,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4591_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9259,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_632]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9260,plain,
% 4.84/5.84      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X0,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9259]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_630,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4590_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9255,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_630]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9256,plain,
% 4.84/5.84      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X0,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9255]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_627,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.84      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.84      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 4.84/5.84      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4589_1) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9249,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.84/5.84      | ~ c_lessequals(X1,X2,X0)
% 4.84/5.84      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X0),X0)
% 4.84/5.84      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X1,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_627]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9250,plain,
% 4.84/5.84      ( c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
% 4.84/5.84      | ~ c_lessequals(X0,c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
% 4.84/5.84      | ~ c_lessequals(X4,X2,X3)
% 4.84/5.84      | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9249]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_624,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4588_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9243,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_624]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9244,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 4.84/5.84      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9243]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_622,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4587_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9239,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_622]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9240,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X0,X1,X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 4.84/5.84      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9239]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_620,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4586_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9235,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_620]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9236,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9235]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_618,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4585_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9231,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_618]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9232,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 4.84/5.84      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9231]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_602,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4581_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9199,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_602]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9200,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9199]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_592,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.84      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4579_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9179,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.84      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_592]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9180,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 4.84/5.84      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9179]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_587,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.84      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4578_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9169,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.84      | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.84/5.84      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_587]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9170,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 4.84/5.84      | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_9169]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_547,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4569_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9089,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_547]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_545,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4568_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9085,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_545]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_541,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4566_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9077,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_541]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_539,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4565_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9073,plain,
% 4.84/5.84      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.84/5.84      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,X0),c_HOL_Ominus__class_Ominus(X2,X4,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_539]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_533,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4562_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9061,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X3,X0),c_HOL_Oplus__class_Oplus(X2,X4,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_533]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_531,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4561_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9057,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_531]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_529,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4560_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9053,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_529]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_527,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4559_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9049,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_527]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_525,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4558_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9045,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_525]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_506,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4553_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9007,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X2,X0) = c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X1,X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_506]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_503,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 4.84/5.84      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4552_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_9001,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Odiv(X1,X3,X0),X0)
% 4.84/5.84      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_503]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_494,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4549_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8983,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_494]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_483,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4546_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8961,plain,
% 4.84/5.84      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_483]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_480,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4545_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8955,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(X0,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_480]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8956,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(X0,X2,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8955]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_477,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4544_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8949,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_477]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8950,plain,
% 4.84/5.84      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_lessequals(X1,X2,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8949]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_473,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 4.84/5.84      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4543_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8941,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 4.84/5.84      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_473]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_469,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 4.84/5.84      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4542_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8933,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 4.84/5.84      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_469]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_466,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4541_1) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8927,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_466]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_465,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4541_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8925,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_465]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_462,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4540_1) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8919,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_462]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_461,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4540_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8917,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_461]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_458,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4539_1) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8911,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_458]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_457,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4539_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8909,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.84      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_457]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_455,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4538_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8905,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_455]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_453,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4537_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8901,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_453]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_365,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4519_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8725,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_365]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8726,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8725]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_315,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4510_1) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8625,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_315]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_314,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4510_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8623,plain,
% 4.84/5.84      ( c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X0),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.84      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_314]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_312,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4509_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8619,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_312]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8620,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8619]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_300,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4505_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8595,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X3,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X0),X1,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_300]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8596,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X0,X2),X2),X1,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8595]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_298,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4504_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8591,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X0),X3,X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X0),X4,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_298]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8592,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X0,X1),X3,X1)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8591]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_240,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4494_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8475,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_240]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_238,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4493_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8471,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.84/5.84      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_238]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_236,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4492_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8467,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_236]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_232,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4491_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8459,plain,
% 4.84/5.84      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X0),X0),c_HOL_Oplus__class_Oplus(X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),X3,tc_RealDef_Oreal)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X0),X4,tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_232]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_228,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4490_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8451,plain,
% 4.84/5.84      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_228]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_224,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4489_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8443,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_224]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_220,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4488_2) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8435,plain,
% 4.84/5.84      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X4,X5,X0),X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 4.84/5.84      | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_220]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_216,plain,
% 4.84/5.84      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X3,X1,X0),c_RealVector_Odist__class_Odist(X3,X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4487_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8427,plain,
% 4.84/5.84      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X3,X1,X0),c_RealVector_Odist__class_Odist(X3,X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_216]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8428,plain,
% 4.84/5.84      ( c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X3,X0,X2),c_RealVector_Odist__class_Odist(X3,X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Ometric__space(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8427]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_214,plain,
% 4.84/5.84      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X3,X0),c_RealVector_Odist__class_Odist(X2,X3,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4486_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8423,plain,
% 4.84/5.84      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X3,X0),c_RealVector_Odist__class_Odist(X2,X3,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_214]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8424,plain,
% 4.84/5.84      ( c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X0,X3,X2),c_RealVector_Odist__class_Odist(X1,X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Ometric__space(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8423]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_212,plain,
% 4.84/5.84      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X3,X0),c_RealVector_Odist__class_Odist(X3,X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4485_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8419,plain,
% 4.84/5.84      ( ~ class_RealVector_Ometric__space(X0)
% 4.84/5.84      | c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X3,X0),c_RealVector_Odist__class_Odist(X3,X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_212]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8420,plain,
% 4.84/5.84      ( c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X0,X3,X2),c_RealVector_Odist__class_Odist(X3,X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.84      | ~ class_RealVector_Ometric__space(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8419]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_210,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4484_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8415,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.84      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_210]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8416,plain,
% 4.84/5.84      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8415]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_186,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4479_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8367,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X0) ),
% 4.84/5.84      inference(copy,[status(esa)],[c_186]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8368,plain,
% 4.84/5.84      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X2)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.84      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.84      inference(rewriting,[status(thm)],[c_8367]) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_183,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0) ),
% 4.84/5.84      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4478_0) ).
% 4.84/5.84  
% 4.84/5.84  cnf(c_8361,plain,
% 4.84/5.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 4.84/5.84      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.84/5.84      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X0),c_HOL_Oone__class_Oone(X0),X0),X0),X2,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_183]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8362,plain,
% 4.84/5.85      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X2),X1,X2)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.84/5.85      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8361]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_181,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4477_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8357,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),tc_RealDef_Oreal) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_181]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8358,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),tc_RealDef_Oreal)
% 4.84/5.85      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8357]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_179,plain,
% 4.84/5.85      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4476_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8353,plain,
% 4.84/5.85      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_179]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8354,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X2,X1),X1),X1)
% 4.84/5.85      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8353]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_177,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4475_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8349,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_177]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_175,plain,
% 4.84/5.85      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.85      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4474_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8345,plain,
% 4.84/5.85      ( ~ class_Divides_Oring__div(X0)
% 4.84/5.85      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_175]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_173,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4473_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8341,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_173]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_170,plain,
% 4.84/5.85      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal))
% 4.84/5.85      | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4472_1) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8335,plain,
% 4.84/5.85      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal))
% 4.84/5.85      | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_170]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_169,plain,
% 4.84/5.85      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal))
% 4.84/5.85      | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4472_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8333,plain,
% 4.84/5.85      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Otan(X0),c_Transcendental_Otan(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal))
% 4.84/5.85      | c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 4.84/5.85      | c_Transcendental_Ocos(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_169]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_115,plain,
% 4.84/5.85      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4462_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8225,plain,
% 4.84/5.85      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_115]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8226,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
% 4.84/5.85      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8225]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_103,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Osemiring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4459_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8201,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Osemiring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X0),X2,X0),X4,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_103]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_100,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 4.84/5.85      | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4458_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8195,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 4.84/5.85      | X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_100]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_97,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4457_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8189,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0) = X5 ),
% 4.84/5.85      inference(copy,[status(esa)],[c_97]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8190,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0) = X5
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8189]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_95,plain,
% 4.84/5.85      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.85      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4456_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8185,plain,
% 4.84/5.85      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.85      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X0),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_95]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8186,plain,
% 4.84/5.85      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X0,X1,X2),c_Lattices_Olower__semilattice__class_Oinf(X0,X3,X2),X2),c_Lattices_Olower__semilattice__class_Oinf(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2),X2)
% 4.84/5.85      | ~ class_Lattices_Olattice(X2) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8185]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_93,plain,
% 4.84/5.85      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.85      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4455_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8181,plain,
% 4.84/5.85      ( ~ class_Lattices_Olattice(X0)
% 4.84/5.85      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X0),X0),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_93]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8182,plain,
% 4.84/5.85      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,X3),c_Lattices_Oupper__semilattice__class_Osup(X0,X2,X3),X3),X3)
% 4.84/5.85      | ~ class_Lattices_Olattice(X3) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8181]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_83,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4452_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8161,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Otimes__class_Otimes(X2,X2,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_83]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8162,plain,
% 4.84/5.85      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.84/5.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8161]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_74,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4449_1) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8143,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_74]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_73,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4449_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8141,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_73]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_70,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4448_1) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8135,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_70]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_69,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4448_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8133,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Ofield(X0)
% 4.84/5.85      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_69]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_66,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4447_1) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8127,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_66]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_65,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4447_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8125,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X1,X2,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_65]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_63,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4446_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8121,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0),c_Divides_Odiv__class_Omod(X2,X1,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X2,X3,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_63]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_61,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4445_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8117,plain,
% 4.84/5.85      ( ~ class_Divides_Osemiring__div(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0),c_Divides_Odiv__class_Omod(X1,X2,X0),X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,X3,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_61]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_57,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4443_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8109,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oring(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0),X4,X0),X0) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X0),X4,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_57]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_55,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4442_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8105,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_55]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8106,plain,
% 4.84/5.85      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0),X0),X0)
% 4.84/5.85      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8105]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_50,plain,
% 4.84/5.85      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4440_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8095,plain,
% 4.84/5.85      ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_50]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_47,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4439_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8089,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_47]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_44,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4438_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8083,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_44]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8084,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8083]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_41,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4437_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8077,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0),X3,X0),X5,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_41]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8078,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2),X4,X2),X5,X2)
% 4.84/5.85      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X3,X2),X4,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X5,X2),X2)
% 4.84/5.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8077]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_35,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4435_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8065,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_35]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8066,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X0),X5,X0),X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0),X5,X0),X0) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8065]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_32,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4434_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8059,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X4,X0),X5,X0)
% 4.84/5.85      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X0),X4,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X0),X5,X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_32]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_26,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4432_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8047,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.84/5.85      | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X5,X0),X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X0),X1,X0),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X0),X5,X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_26]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8048,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X1,X2),X5,X2),X2)
% 4.84/5.85      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X0,X2),X1,X2),X5,X2),X2)
% 4.84/5.85      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8047]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_23,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4431_1) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8041,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_23]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_22,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4431_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8039,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__field(X0)
% 4.84/5.85      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0),X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0),X3,X0)
% 4.84/5.85      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.84/5.85      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_22]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_20,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__field(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4430_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8035,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__field(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0),X3,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X5,X3,X0),X0),X4,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_20]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_18,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.85      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4429_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8031,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.85      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_18]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8032,plain,
% 4.84/5.85      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 4.84/5.85      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8031]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_16,plain,
% 4.84/5.85      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4428_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8027,plain,
% 4.84/5.85      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X4,X0),X0),X0),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X0),X0),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X0),X0),X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_16]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8028,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2),X2),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X2),X2),X2),X2)
% 4.84/5.85      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8027]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_14,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X4,X0),X0),c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),c_RealVector_OscaleR__class_OscaleR(X2,X4,X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4427_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8023,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X4,X0),X0),c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),c_RealVector_OscaleR__class_OscaleR(X2,X4,X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_14]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_12,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4426_0) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8019,plain,
% 4.84/5.85      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 4.84/5.85      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X4,X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X0),X0),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_12]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_10,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 4.84/5.85      | ~ c_lessequals(X1,X5,X0)
% 4.84/5.85      | ~ c_lessequals(X5,X3,X0)
% 4.84/5.85      | ~ c_lessequals(X4,X6,X0)
% 4.84/5.85      | ~ c_lessequals(X6,X2,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4425_4) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8015,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(X5,X6,X0),X0)
% 4.84/5.85      | ~ c_lessequals(X1,X5,X0)
% 4.84/5.85      | ~ c_lessequals(X5,X3,X0)
% 4.84/5.85      | ~ c_lessequals(X4,X6,X0)
% 4.84/5.85      | ~ c_lessequals(X6,X2,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_10]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8016,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X0,X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X1),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X1),X1),X1),c_HOL_Otimes__class_Otimes(X5,X6,X1),X1)
% 4.84/5.85      | ~ c_lessequals(X0,X5,X1)
% 4.84/5.85      | ~ c_lessequals(X5,X3,X1)
% 4.84/5.85      | ~ c_lessequals(X4,X6,X1)
% 4.84/5.85      | ~ c_lessequals(X6,X2,X1)
% 4.84/5.85      | ~ class_Ring__and__Field_Olordered__ring(X1) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8015]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_4,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 4.84/5.85      | ~ c_lessequals(X5,X1,X0)
% 4.84/5.85      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.85      | ~ c_lessequals(X6,X2,X0)
% 4.84/5.85      | ~ c_lessequals(X2,X4,X0) ),
% 4.84/5.85      file('/export/starexec/sandbox/tmp/iprover_modulo_543590.p', c_0_4424_4) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8003,plain,
% 4.84/5.85      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 4.84/5.85      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X0),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X0),X0),X0),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X0),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X0),X0),X0),X0)
% 4.84/5.85      | ~ c_lessequals(X5,X1,X0)
% 4.84/5.85      | ~ c_lessequals(X1,X3,X0)
% 4.84/5.85      | ~ c_lessequals(X6,X2,X0)
% 4.84/5.85      | ~ c_lessequals(X2,X4,X0) ),
% 4.84/5.85      inference(copy,[status(esa)],[c_4]) ).
% 4.84/5.85  
% 4.84/5.85  cnf(c_8004,plain,
% 4.84/5.85      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X2),X2),X2),X2)
% 4.84/5.85      | ~ c_lessequals(X5,X0,X2)
% 4.84/5.85      | ~ c_lessequals(X0,X3,X2)
% 4.84/5.85      | ~ c_lessequals(X6,X1,X2)
% 4.84/5.85      | ~ c_lessequals(X1,X4,X2)
% 4.84/5.85      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 4.84/5.85      inference(rewriting,[status(thm)],[c_8003]) ).
% 4.84/5.85  
% 4.84/5.85  
% 4.84/5.85  
% 4.84/5.85  % ------                             Statistics
% 4.84/5.85  
% 4.84/5.85  % ------ General
% 4.84/5.85  
% 4.84/5.85  % num_of_input_clauses:                 3579
% 4.84/5.85  % num_of_input_neg_conjectures:         2
% 4.84/5.85  % num_of_splits:                        0
% 4.84/5.85  % num_of_split_atoms:                   0
% 4.84/5.85  % num_of_sem_filtered_clauses:          0
% 4.84/5.85  % num_of_subtypes:                      0
% 4.84/5.85  % monotx_restored_types:                0
% 4.84/5.85  % sat_num_of_epr_types:                 0
% 4.84/5.85  % sat_num_of_non_cyclic_types:          0
% 4.84/5.85  % sat_guarded_non_collapsed_types:      0
% 4.84/5.85  % is_epr:                               0
% 4.84/5.85  % is_horn:                              0
% 4.84/5.85  % has_eq:                               1
% 4.84/5.85  % num_pure_diseq_elim:                  0
% 4.84/5.85  % simp_replaced_by:                     0
% 4.84/5.85  % res_preprocessed:                     4
% 4.84/5.85  % prep_upred:                           0
% 4.84/5.85  % prep_unflattend:                      0
% 4.84/5.85  % pred_elim_cands:                      0
% 4.84/5.85  % pred_elim:                            0
% 4.84/5.85  % pred_elim_cl:                         0
% 4.84/5.85  % pred_elim_cycles:                     0
% 4.84/5.85  % forced_gc_time:                       0
% 4.84/5.85  % gc_basic_clause_elim:                 0
% 4.84/5.85  % parsing_time:                         0.167
% 4.84/5.85  % sem_filter_time:                      0.
% 4.84/5.85  % pred_elim_time:                       0.
% 4.84/5.85  % out_proof_time:                       0.
% 4.84/5.85  % monotx_time:                          0.
% 4.84/5.85  % subtype_inf_time:                     0.
% 4.84/5.85  % unif_index_cands_time:                0.
% 4.84/5.85  % unif_index_add_time:                  0.002
% 4.84/5.85  % total_time:                           5.177
% 4.84/5.85  % num_of_symbols:                       150
% 4.84/5.85  % num_of_terms:                         7726
% 4.84/5.85  
% 4.84/5.85  % ------ Propositional Solver
% 4.84/5.85  
% 4.84/5.85  % prop_solver_calls:                    1
% 4.84/5.85  % prop_fast_solver_calls:               6
% 4.84/5.85  % prop_num_of_clauses:                  3082
% 4.84/5.85  % prop_preprocess_simplified:           10934
% 4.84/5.85  % prop_fo_subsumed:                     0
% 4.84/5.85  % prop_solver_time:                     0.
% 4.84/5.85  % prop_fast_solver_time:                0.
% 4.84/5.85  % prop_unsat_core_time:                 0.
% 4.84/5.85  
% 4.84/5.85  % ------ QBF 
% 4.84/5.85  
% 4.84/5.85  % qbf_q_res:                            0
% 4.84/5.85  % qbf_num_tautologies:                  0
% 4.84/5.85  % qbf_prep_cycles:                      0
% 4.84/5.85  
% 4.84/5.85  % ------ BMC1
% 4.84/5.85  
% 4.84/5.85  % bmc1_current_bound:                   -1
% 4.84/5.85  % bmc1_last_solved_bound:               -1
% 4.84/5.85  % bmc1_unsat_core_size:                 -1
% 4.84/5.85  % bmc1_unsat_core_parents_size:         -1
% 4.84/5.85  % bmc1_merge_next_fun:                  0
% 4.84/5.85  % bmc1_unsat_core_clauses_time:         0.
% 4.84/5.85  
% 4.84/5.85  % ------ Instantiation
% 4.84/5.85  
% 4.84/5.85  % inst_num_of_clauses:                  3353
% 4.84/5.85  % inst_num_in_passive:                  0
% 4.84/5.85  % inst_num_in_active:                   0
% 4.84/5.85  % inst_num_in_unprocessed:              3579
% 4.84/5.85  % inst_num_of_loops:                    0
% 4.84/5.85  % inst_num_of_learning_restarts:        0
% 4.84/5.85  % inst_num_moves_active_passive:        0
% 4.84/5.85  % inst_lit_activity:                    0
% 4.84/5.85  % inst_lit_activity_moves:              0
% 4.84/5.85  % inst_num_tautologies:                 0
% 4.84/5.85  % inst_num_prop_implied:                0
% 4.84/5.85  % inst_num_existing_simplified:         0
% 4.84/5.85  % inst_num_eq_res_simplified:           0
% 4.84/5.85  % inst_num_child_elim:                  0
% 4.84/5.85  % inst_num_of_dismatching_blockings:    0
% 4.84/5.85  % inst_num_of_non_proper_insts:         0
% 4.84/5.85  % inst_num_of_duplicates:               0
% 4.84/5.85  % inst_inst_num_from_inst_to_res:       0
% 4.84/5.85  % inst_dismatching_checking_time:       0.
% 4.84/5.85  
% 4.84/5.85  % ------ Resolution
% 4.84/5.85  
% 4.84/5.85  % res_num_of_clauses:                   3776
% 4.84/5.85  % res_num_in_passive:                   0
% 4.84/5.85  % res_num_in_active:                    1298
% 4.84/5.85  % res_num_of_loops:                     3
% 4.84/5.85  % res_forward_subset_subsumed:          2202
% 4.84/5.85  % res_backward_subset_subsumed:         4
% 4.84/5.85  % res_forward_subsumed:                 0
% 4.84/5.85  % res_backward_subsumed:                0
% 4.84/5.85  % res_forward_subsumption_resolution:   0
% 4.84/5.85  % res_backward_subsumption_resolution:  0
% 4.84/5.85  % res_clause_to_clause_subsumption:     3
% 4.84/5.85  % res_orphan_elimination:               0
% 4.84/5.85  % res_tautology_del:                    0
% 4.84/5.85  % res_num_eq_res_simplified:            0
% 4.84/5.85  % res_num_sel_changes:                  0
% 4.84/5.85  % res_moves_from_active_to_pass:        0
% 4.84/5.85  
% 4.84/5.85  % Status Unknown
% 4.98/6.10  % Orienting using strategy ClausalAll
% 4.98/6.10  % Orientation found
% 4.98/6.10  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_25226c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_543590.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9f4a51 | grep -v "SZS"
% 4.98/6.12  
% 4.98/6.12  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 4.98/6.12  
% 4.98/6.12  % 
% 4.98/6.12  % ------  iProver source info 
% 4.98/6.12  
% 4.98/6.12  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 4.98/6.12  % git: non_committed_changes: true
% 4.98/6.12  % git: last_make_outside_of_git: true
% 4.98/6.12  
% 4.98/6.12  % 
% 4.98/6.12  % ------ Input Options
% 4.98/6.12  
% 4.98/6.12  % --out_options                         all
% 4.98/6.12  % --tptp_safe_out                       true
% 4.98/6.12  % --problem_path                        ""
% 4.98/6.12  % --include_path                        ""
% 4.98/6.12  % --clausifier                          .//eprover
% 4.98/6.12  % --clausifier_options                  --tstp-format  
% 4.98/6.12  % --stdin                               false
% 4.98/6.12  % --dbg_backtrace                       false
% 4.98/6.12  % --dbg_dump_prop_clauses               false
% 4.98/6.12  % --dbg_dump_prop_clauses_file          -
% 4.98/6.12  % --dbg_out_stat                        false
% 4.98/6.12  
% 4.98/6.12  % ------ General Options
% 4.98/6.12  
% 4.98/6.12  % --fof                                 false
% 4.98/6.12  % --time_out_real                       150.
% 4.98/6.12  % --time_out_prep_mult                  0.2
% 4.98/6.12  % --time_out_virtual                    -1.
% 4.98/6.12  % --schedule                            none
% 4.98/6.12  % --ground_splitting                    input
% 4.98/6.12  % --splitting_nvd                       16
% 4.98/6.12  % --non_eq_to_eq                        false
% 4.98/6.12  % --prep_gs_sim                         true
% 4.98/6.12  % --prep_unflatten                      false
% 4.98/6.12  % --prep_res_sim                        true
% 4.98/6.12  % --prep_upred                          true
% 4.98/6.12  % --res_sim_input                       true
% 4.98/6.12  % --clause_weak_htbl                    true
% 4.98/6.12  % --gc_record_bc_elim                   false
% 4.98/6.12  % --symbol_type_check                   false
% 4.98/6.12  % --clausify_out                        false
% 4.98/6.12  % --large_theory_mode                   false
% 4.98/6.12  % --prep_sem_filter                     none
% 4.98/6.12  % --prep_sem_filter_out                 false
% 4.98/6.12  % --preprocessed_out                    false
% 4.98/6.12  % --sub_typing                          false
% 4.98/6.12  % --brand_transform                     false
% 4.98/6.12  % --pure_diseq_elim                     true
% 4.98/6.12  % --min_unsat_core                      false
% 4.98/6.12  % --pred_elim                           true
% 4.98/6.12  % --add_important_lit                   false
% 4.98/6.12  % --soft_assumptions                    false
% 4.98/6.12  % --reset_solvers                       false
% 4.98/6.12  % --bc_imp_inh                          []
% 4.98/6.12  % --conj_cone_tolerance                 1.5
% 4.98/6.12  % --prolific_symb_bound                 500
% 4.98/6.12  % --lt_threshold                        2000
% 4.98/6.12  
% 4.98/6.12  % ------ SAT Options
% 4.98/6.12  
% 4.98/6.12  % --sat_mode                            false
% 4.98/6.12  % --sat_fm_restart_options              ""
% 4.98/6.12  % --sat_gr_def                          false
% 4.98/6.12  % --sat_epr_types                       true
% 4.98/6.12  % --sat_non_cyclic_types                false
% 4.98/6.12  % --sat_finite_models                   false
% 4.98/6.12  % --sat_fm_lemmas                       false
% 4.98/6.12  % --sat_fm_prep                         false
% 4.98/6.12  % --sat_fm_uc_incr                      true
% 4.98/6.12  % --sat_out_model                       small
% 4.98/6.12  % --sat_out_clauses                     false
% 4.98/6.12  
% 4.98/6.12  % ------ QBF Options
% 4.98/6.12  
% 4.98/6.12  % --qbf_mode                            false
% 4.98/6.12  % --qbf_elim_univ                       true
% 4.98/6.12  % --qbf_sk_in                           true
% 4.98/6.12  % --qbf_pred_elim                       true
% 4.98/6.12  % --qbf_split                           32
% 4.98/6.12  
% 4.98/6.12  % ------ BMC1 Options
% 4.98/6.12  
% 4.98/6.12  % --bmc1_incremental                    false
% 4.98/6.12  % --bmc1_axioms                         reachable_all
% 4.98/6.12  % --bmc1_min_bound                      0
% 4.98/6.12  % --bmc1_max_bound                      -1
% 4.98/6.12  % --bmc1_max_bound_default              -1
% 4.98/6.12  % --bmc1_symbol_reachability            true
% 4.98/6.12  % --bmc1_property_lemmas                false
% 4.98/6.12  % --bmc1_k_induction                    false
% 4.98/6.12  % --bmc1_non_equiv_states               false
% 4.98/6.12  % --bmc1_deadlock                       false
% 4.98/6.12  % --bmc1_ucm                            false
% 4.98/6.12  % --bmc1_add_unsat_core                 none
% 4.98/6.12  % --bmc1_unsat_core_children            false
% 4.98/6.12  % --bmc1_unsat_core_extrapolate_axioms  false
% 4.98/6.12  % --bmc1_out_stat                       full
% 4.98/6.12  % --bmc1_ground_init                    false
% 4.98/6.12  % --bmc1_pre_inst_next_state            false
% 4.98/6.12  % --bmc1_pre_inst_state                 false
% 4.98/6.12  % --bmc1_pre_inst_reach_state           false
% 4.98/6.12  % --bmc1_out_unsat_core                 false
% 4.98/6.12  % --bmc1_aig_witness_out                false
% 4.98/6.12  % --bmc1_verbose                        false
% 4.98/6.12  % --bmc1_dump_clauses_tptp              false
% 7.77/8.71  % --bmc1_dump_unsat_core_tptp           false
% 7.77/8.71  % --bmc1_dump_file                      -
% 7.77/8.71  % --bmc1_ucm_expand_uc_limit            128
% 7.77/8.71  % --bmc1_ucm_n_expand_iterations        6
% 7.77/8.71  % --bmc1_ucm_extend_mode                1
% 7.77/8.71  % --bmc1_ucm_init_mode                  2
% 7.77/8.71  % --bmc1_ucm_cone_mode                  none
% 7.77/8.71  % --bmc1_ucm_reduced_relation_type      0
% 7.77/8.71  % --bmc1_ucm_relax_model                4
% 7.77/8.71  % --bmc1_ucm_full_tr_after_sat          true
% 7.77/8.71  % --bmc1_ucm_expand_neg_assumptions     false
% 7.77/8.71  % --bmc1_ucm_layered_model              none
% 7.77/8.71  % --bmc1_ucm_max_lemma_size             10
% 7.77/8.71  
% 7.77/8.71  % ------ AIG Options
% 7.77/8.71  
% 7.77/8.71  % --aig_mode                            false
% 7.77/8.71  
% 7.77/8.71  % ------ Instantiation Options
% 7.77/8.71  
% 7.77/8.71  % --instantiation_flag                  true
% 7.77/8.71  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 7.77/8.71  % --inst_solver_per_active              750
% 7.77/8.71  % --inst_solver_calls_frac              0.5
% 7.77/8.71  % --inst_passive_queue_type             priority_queues
% 7.77/8.71  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.77/8.71  % --inst_passive_queues_freq            [25;2]
% 7.77/8.71  % --inst_dismatching                    true
% 7.77/8.71  % --inst_eager_unprocessed_to_passive   true
% 7.77/8.71  % --inst_prop_sim_given                 true
% 7.77/8.71  % --inst_prop_sim_new                   false
% 7.77/8.71  % --inst_orphan_elimination             true
% 7.77/8.71  % --inst_learning_loop_flag             true
% 7.77/8.71  % --inst_learning_start                 3000
% 7.77/8.71  % --inst_learning_factor                2
% 7.77/8.71  % --inst_start_prop_sim_after_learn     3
% 7.77/8.71  % --inst_sel_renew                      solver
% 7.77/8.71  % --inst_lit_activity_flag              true
% 7.77/8.71  % --inst_out_proof                      true
% 7.77/8.71  
% 7.77/8.71  % ------ Resolution Options
% 7.77/8.71  
% 7.77/8.71  % --resolution_flag                     true
% 7.77/8.71  % --res_lit_sel                         kbo_max
% 7.77/8.71  % --res_to_prop_solver                  none
% 7.77/8.71  % --res_prop_simpl_new                  false
% 7.77/8.71  % --res_prop_simpl_given                false
% 7.77/8.71  % --res_passive_queue_type              priority_queues
% 7.77/8.71  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.77/8.71  % --res_passive_queues_freq             [15;5]
% 7.77/8.71  % --res_forward_subs                    full
% 7.77/8.71  % --res_backward_subs                   full
% 7.77/8.71  % --res_forward_subs_resolution         true
% 7.77/8.71  % --res_backward_subs_resolution        true
% 7.77/8.71  % --res_orphan_elimination              false
% 7.77/8.71  % --res_time_limit                      1000.
% 7.77/8.71  % --res_out_proof                       true
% 7.77/8.71  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_25226c.s
% 7.77/8.71  % --modulo                              true
% 7.77/8.71  
% 7.77/8.71  % ------ Combination Options
% 7.77/8.71  
% 7.77/8.71  % --comb_res_mult                       1000
% 7.77/8.71  % --comb_inst_mult                      300
% 7.77/8.71  % ------ 
% 7.77/8.71  
% 7.77/8.71  % ------ Parsing...% successful
% 7.77/8.71  
% 7.77/8.71  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 7.77/8.71  
% 7.77/8.71  % ------ Proving...
% 7.77/8.71  % ------ Problem Properties 
% 7.77/8.71  
% 7.77/8.71  % 
% 7.77/8.71  % EPR                                   false
% 7.77/8.71  % Horn                                  false
% 7.77/8.71  % Has equality                          true
% 7.77/8.71  
% 7.77/8.71  % % ------ Input Options Time Limit: Unbounded
% 7.77/8.71  
% 7.77/8.71  
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  Compiling...
% 7.77/8.71  Loading plugin: done.
% 7.77/8.71  % % ------ Current options:
% 7.77/8.71  
% 7.77/8.71  % ------ Input Options
% 7.77/8.71  
% 7.77/8.71  % --out_options                         all
% 7.77/8.71  % --tptp_safe_out                       true
% 7.77/8.71  % --problem_path                        ""
% 7.77/8.71  % --include_path                        ""
% 7.77/8.71  % --clausifier                          .//eprover
% 7.77/8.71  % --clausifier_options                  --tstp-format  
% 7.77/8.71  % --stdin                               false
% 7.77/8.71  % --dbg_backtrace                       false
% 7.77/8.71  % --dbg_dump_prop_clauses               false
% 7.77/8.71  % --dbg_dump_prop_clauses_file          -
% 7.77/8.71  % --dbg_out_stat                        false
% 7.77/8.71  
% 7.77/8.71  % ------ General Options
% 7.77/8.71  
% 7.77/8.71  % --fof                                 false
% 7.77/8.71  % --time_out_real                       150.
% 7.77/8.71  % --time_out_prep_mult                  0.2
% 7.77/8.71  % --time_out_virtual                    -1.
% 7.77/8.71  % --schedule                            none
% 7.77/8.71  % --ground_splitting                    input
% 7.77/8.71  % --splitting_nvd                       16
% 7.77/8.71  % --non_eq_to_eq                        false
% 7.77/8.71  % --prep_gs_sim                         true
% 7.77/8.71  % --prep_unflatten                      false
% 7.77/8.71  % --prep_res_sim                        true
% 7.77/8.71  % --prep_upred                          true
% 7.77/8.71  % --res_sim_input                       true
% 7.77/8.71  % --clause_weak_htbl                    true
% 7.77/8.71  % --gc_record_bc_elim                   false
% 7.77/8.71  % --symbol_type_check                   false
% 7.77/8.71  % --clausify_out                        false
% 7.77/8.71  % --large_theory_mode                   false
% 7.77/8.71  % --prep_sem_filter                     none
% 7.77/8.71  % --prep_sem_filter_out                 false
% 7.77/8.71  % --preprocessed_out                    false
% 7.77/8.71  % --sub_typing                          false
% 7.77/8.71  % --brand_transform                     false
% 7.77/8.71  % --pure_diseq_elim                     true
% 7.77/8.71  % --min_unsat_core                      false
% 7.77/8.71  % --pred_elim                           true
% 7.77/8.71  % --add_important_lit                   false
% 7.77/8.71  % --soft_assumptions                    false
% 7.77/8.71  % --reset_solvers                       false
% 7.77/8.71  % --bc_imp_inh                          []
% 7.77/8.71  % --conj_cone_tolerance                 1.5
% 7.77/8.71  % --prolific_symb_bound                 500
% 7.77/8.71  % --lt_threshold                        2000
% 7.77/8.71  
% 7.77/8.71  % ------ SAT Options
% 7.77/8.71  
% 7.77/8.71  % --sat_mode                            false
% 7.77/8.71  % --sat_fm_restart_options              ""
% 7.77/8.71  % --sat_gr_def                          false
% 7.77/8.71  % --sat_epr_types                       true
% 7.77/8.71  % --sat_non_cyclic_types                false
% 7.77/8.71  % --sat_finite_models                   false
% 7.77/8.71  % --sat_fm_lemmas                       false
% 7.77/8.71  % --sat_fm_prep                         false
% 7.77/8.71  % --sat_fm_uc_incr                      true
% 7.77/8.71  % --sat_out_model                       small
% 7.77/8.71  % --sat_out_clauses                     false
% 7.77/8.71  
% 7.77/8.71  % ------ QBF Options
% 7.77/8.71  
% 7.77/8.71  % --qbf_mode                            false
% 7.77/8.71  % --qbf_elim_univ                       true
% 7.77/8.71  % --qbf_sk_in                           true
% 7.77/8.71  % --qbf_pred_elim                       true
% 7.77/8.71  % --qbf_split                           32
% 7.77/8.71  
% 7.77/8.71  % ------ BMC1 Options
% 7.77/8.71  
% 7.77/8.71  % --bmc1_incremental                    false
% 7.77/8.71  % --bmc1_axioms                         reachable_all
% 7.77/8.71  % --bmc1_min_bound                      0
% 7.77/8.71  % --bmc1_max_bound                      -1
% 7.77/8.71  % --bmc1_max_bound_default              -1
% 7.77/8.71  % --bmc1_symbol_reachability            true
% 7.77/8.71  % --bmc1_property_lemmas                false
% 7.77/8.71  % --bmc1_k_induction                    false
% 7.77/8.71  % --bmc1_non_equiv_states               false
% 7.77/8.71  % --bmc1_deadlock                       false
% 7.77/8.71  % --bmc1_ucm                            false
% 7.77/8.71  % --bmc1_add_unsat_core                 none
% 7.77/8.71  % --bmc1_unsat_core_children            false
% 7.77/8.71  % --bmc1_unsat_core_extrapolate_axioms  false
% 7.77/8.71  % --bmc1_out_stat                       full
% 7.77/8.71  % --bmc1_ground_init                    false
% 7.77/8.71  % --bmc1_pre_inst_next_state            false
% 7.77/8.71  % --bmc1_pre_inst_state                 false
% 7.77/8.71  % --bmc1_pre_inst_reach_state           false
% 7.77/8.71  % --bmc1_out_unsat_core                 false
% 7.77/8.71  % --bmc1_aig_witness_out                false
% 7.77/8.71  % --bmc1_verbose                        false
% 7.77/8.71  % --bmc1_dump_clauses_tptp              false
% 7.77/8.71  % --bmc1_dump_unsat_core_tptp           false
% 7.77/8.71  % --bmc1_dump_file                      -
% 7.77/8.71  % --bmc1_ucm_expand_uc_limit            128
% 7.77/8.71  % --bmc1_ucm_n_expand_iterations        6
% 7.77/8.71  % --bmc1_ucm_extend_mode                1
% 7.77/8.71  % --bmc1_ucm_init_mode                  2
% 7.77/8.71  % --bmc1_ucm_cone_mode                  none
% 7.77/8.71  % --bmc1_ucm_reduced_relation_type      0
% 7.77/8.71  % --bmc1_ucm_relax_model                4
% 7.77/8.71  % --bmc1_ucm_full_tr_after_sat          true
% 7.77/8.71  % --bmc1_ucm_expand_neg_assumptions     false
% 7.77/8.71  % --bmc1_ucm_layered_model              none
% 7.77/8.71  % --bmc1_ucm_max_lemma_size             10
% 7.77/8.71  
% 7.77/8.71  % ------ AIG Options
% 7.77/8.71  
% 7.77/8.71  % --aig_mode                            false
% 7.77/8.71  
% 7.77/8.71  % ------ Instantiation Options
% 7.77/8.71  
% 7.77/8.71  % --instantiation_flag                  true
% 7.77/8.71  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 7.77/8.71  % --inst_solver_per_active              750
% 7.80/8.73  % --inst_solver_calls_frac              0.5
% 7.80/8.73  % --inst_passive_queue_type             priority_queues
% 7.80/8.73  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.80/8.73  % --inst_passive_queues_freq            [25;2]
% 7.80/8.73  % --inst_dismatching                    true
% 7.80/8.73  % --inst_eager_unprocessed_to_passive   true
% 7.80/8.73  % --inst_prop_sim_given                 true
% 7.80/8.73  % --inst_prop_sim_new                   false
% 7.80/8.73  % --inst_orphan_elimination             true
% 7.80/8.73  % --inst_learning_loop_flag             true
% 7.80/8.73  % --inst_learning_start                 3000
% 7.80/8.73  % --inst_learning_factor                2
% 7.80/8.73  % --inst_start_prop_sim_after_learn     3
% 7.80/8.73  % --inst_sel_renew                      solver
% 7.80/8.73  % --inst_lit_activity_flag              true
% 7.80/8.73  % --inst_out_proof                      true
% 7.80/8.73  
% 7.80/8.73  % ------ Resolution Options
% 7.80/8.73  
% 7.80/8.73  % --resolution_flag                     true
% 7.80/8.73  % --res_lit_sel                         kbo_max
% 7.80/8.73  % --res_to_prop_solver                  none
% 7.80/8.73  % --res_prop_simpl_new                  false
% 7.80/8.73  % --res_prop_simpl_given                false
% 7.80/8.73  % --res_passive_queue_type              priority_queues
% 7.80/8.73  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.80/8.73  % --res_passive_queues_freq             [15;5]
% 7.80/8.73  % --res_forward_subs                    full
% 7.80/8.73  % --res_backward_subs                   full
% 7.80/8.73  % --res_forward_subs_resolution         true
% 7.80/8.73  % --res_backward_subs_resolution        true
% 7.80/8.73  % --res_orphan_elimination              false
% 7.80/8.73  % --res_time_limit                      1000.
% 7.80/8.73  % --res_out_proof                       true
% 7.80/8.73  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_25226c.s
% 7.80/8.73  % --modulo                              true
% 7.80/8.73  
% 7.80/8.73  % ------ Combination Options
% 7.80/8.73  
% 7.80/8.73  % --comb_res_mult                       1000
% 7.80/8.73  % --comb_inst_mult                      300
% 7.80/8.73  % ------ 
% 7.80/8.73  
% 7.80/8.73  
% 7.80/8.73  
% 7.80/8.73  % ------ Proving...
% 7.80/8.73  % 
% 7.80/8.73  
% 7.80/8.73  
% 7.80/8.73  %  Resolution empty clause
% 7.80/8.73  
% 7.80/8.73  % ------                             Statistics
% 7.80/8.73  
% 7.80/8.73  % ------ General
% 7.80/8.73  
% 7.80/8.73  % num_of_input_clauses:                 3579
% 7.80/8.73  % num_of_input_neg_conjectures:         2
% 7.80/8.73  % num_of_splits:                        0
% 7.80/8.73  % num_of_split_atoms:                   0
% 7.80/8.73  % num_of_sem_filtered_clauses:          0
% 7.80/8.73  % num_of_subtypes:                      0
% 7.80/8.73  % monotx_restored_types:                0
% 7.80/8.73  % sat_num_of_epr_types:                 0
% 7.80/8.73  % sat_num_of_non_cyclic_types:          0
% 7.80/8.73  % sat_guarded_non_collapsed_types:      0
% 7.80/8.73  % is_epr:                               0
% 7.80/8.73  % is_horn:                              0
% 7.80/8.73  % has_eq:                               1
% 7.80/8.73  % num_pure_diseq_elim:                  0
% 7.80/8.73  % simp_replaced_by:                     0
% 7.80/8.73  % res_preprocessed:                     4
% 7.80/8.73  % prep_upred:                           0
% 7.80/8.73  % prep_unflattend:                      0
% 7.80/8.73  % pred_elim_cands:                      0
% 7.80/8.73  % pred_elim:                            0
% 7.80/8.73  % pred_elim_cl:                         0
% 7.80/8.73  % pred_elim_cycles:                     0
% 7.80/8.73  % forced_gc_time:                       0
% 7.80/8.73  % gc_basic_clause_elim:                 0
% 7.80/8.73  % parsing_time:                         0.172
% 7.80/8.73  % sem_filter_time:                      0.
% 7.80/8.73  % pred_elim_time:                       0.
% 7.80/8.73  % out_proof_time:                       0.001
% 7.80/8.73  % monotx_time:                          0.
% 7.80/8.73  % subtype_inf_time:                     0.
% 7.80/8.73  % unif_index_cands_time:                0.
% 7.80/8.73  % unif_index_add_time:                  0.002
% 7.80/8.73  % total_time:                           2.622
% 7.80/8.73  % num_of_symbols:                       150
% 7.80/8.73  % num_of_terms:                         7005
% 7.80/8.73  
% 7.80/8.73  % ------ Propositional Solver
% 7.80/8.73  
% 7.80/8.73  % prop_solver_calls:                    1
% 7.80/8.73  % prop_fast_solver_calls:               6
% 7.80/8.73  % prop_num_of_clauses:                  3236
% 7.80/8.73  % prop_preprocess_simplified:           10780
% 7.80/8.73  % prop_fo_subsumed:                     0
% 7.80/8.73  % prop_solver_time:                     0.
% 7.80/8.73  % prop_fast_solver_time:                0.
% 7.80/8.73  % prop_unsat_core_time:                 0.
% 7.80/8.73  
% 7.80/8.73  % ------ QBF 
% 7.80/8.73  
% 7.80/8.73  % qbf_q_res:                            0
% 7.80/8.73  % qbf_num_tautologies:                  0
% 7.80/8.73  % qbf_prep_cycles:                      0
% 7.80/8.73  
% 7.80/8.73  % ------ BMC1
% 7.80/8.73  
% 7.80/8.73  % bmc1_current_bound:                   -1
% 7.80/8.73  % bmc1_last_solved_bound:               -1
% 7.80/8.73  % bmc1_unsat_core_size:                 -1
% 7.80/8.73  % bmc1_unsat_core_parents_size:         -1
% 7.80/8.73  % bmc1_merge_next_fun:                  0
% 7.80/8.73  % bmc1_unsat_core_clauses_time:         0.
% 7.80/8.73  
% 7.80/8.73  % ------ Instantiation
% 7.80/8.73  
% 7.80/8.73  % inst_num_of_clauses:                  3351
% 7.80/8.73  % inst_num_in_passive:                  0
% 7.80/8.73  % inst_num_in_active:                   0
% 7.80/8.73  % inst_num_in_unprocessed:              3579
% 7.80/8.73  % inst_num_of_loops:                    0
% 7.80/8.73  % inst_num_of_learning_restarts:        0
% 7.80/8.73  % inst_num_moves_active_passive:        0
% 7.80/8.73  % inst_lit_activity:                    0
% 7.80/8.73  % inst_lit_activity_moves:              0
% 7.80/8.73  % inst_num_tautologies:                 0
% 7.80/8.73  % inst_num_prop_implied:                0
% 7.80/8.73  % inst_num_existing_simplified:         0
% 7.80/8.73  % inst_num_eq_res_simplified:           0
% 7.80/8.73  % inst_num_child_elim:                  0
% 7.80/8.73  % inst_num_of_dismatching_blockings:    0
% 7.80/8.73  % inst_num_of_non_proper_insts:         0
% 7.80/8.73  % inst_num_of_duplicates:               0
% 7.80/8.73  % inst_inst_num_from_inst_to_res:       0
% 7.80/8.73  % inst_dismatching_checking_time:       0.
% 7.80/8.73  
% 7.80/8.73  % ------ Resolution
% 7.80/8.73  
% 7.80/8.73  % res_num_of_clauses:                   3907
% 7.80/8.73  % res_num_in_passive:                   232
% 7.80/8.73  % res_num_in_active:                    1288
% 7.80/8.73  % res_num_of_loops:                     16
% 7.80/8.73  % res_forward_subset_subsumed:          2256
% 7.80/8.73  % res_backward_subset_subsumed:         0
% 7.80/8.73  % res_forward_subsumed:                 0
% 7.80/8.73  % res_backward_subsumed:                0
% 7.80/8.73  % res_forward_subsumption_resolution:   5
% 7.80/8.73  % res_backward_subsumption_resolution:  3
% 7.80/8.73  % res_clause_to_clause_subsumption:     29
% 7.80/8.73  % res_orphan_elimination:               0
% 7.80/8.73  % res_tautology_del:                    1
% 7.80/8.73  % res_num_eq_res_simplified:            0
% 7.80/8.73  % res_num_sel_changes:                  0
% 7.80/8.73  % res_moves_from_active_to_pass:        0
% 7.80/8.73  
% 7.80/8.73  % Status Unsatisfiable
% 7.80/8.73  % SZS status Unsatisfiable
% 7.80/8.73  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------