TSTP Solution File: SWW216+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:16:34 EDT 2023

% Result   : Theorem 6.10s 6.18s
% Output   : CNFRefutation 6.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  150
% Syntax   : Number of formulae    :  219 (  57 unt; 123 typ;   0 def)
%            Number of atoms       :  192 (  78 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  167 (  71   ~;  67   |;   6   &)
%                                         (   3 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  148 ( 107   >;  41   *;   0   +;   0  <<)
%            Number of predicates  :   80 (  78 usr;   1 prp; 0-4 aty)
%            Number of functors    :   45 (  45 usr;  16 con; 0-4 aty)
%            Number of variables   :  131 (   2 sgn;  75   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    hAPP: ( $i * $i ) > $i ).

tff(decl_23,type,
    tc_RealDef_Oreal: $i ).

tff(decl_24,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

tff(decl_25,type,
    v_m____: $i ).

tff(decl_26,type,
    c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).

tff(decl_27,type,
    v_da____: $i ).

tff(decl_28,type,
    v_e: $i ).

tff(decl_29,type,
    c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).

tff(decl_30,type,
    c_Groups_Oone__class_Oone: $i > $i ).

tff(decl_31,type,
    v_d____: $i ).

tff(decl_32,type,
    c_Groups_Otimes__class_Otimes: ( $i * $i ) > $i ).

tff(decl_33,type,
    class_Lattices_Oab__semigroup__idem__mult: $i > $o ).

tff(decl_34,type,
    class_Rings_Ocomm__semiring__1: $i > $o ).

tff(decl_35,type,
    class_Fields_Olinordered__field: $i > $o ).

tff(decl_36,type,
    class_Fields_Olinordered__field__inverse__zero: $i > $o ).

tff(decl_37,type,
    class_Fields_Ofield__inverse__zero: $i > $o ).

tff(decl_38,type,
    class_Fields_Ofield: $i > $o ).

tff(decl_39,type,
    class_Rings_Odivision__ring: $i > $o ).

tff(decl_40,type,
    class_Rings_Odivision__ring__inverse__zero: $i > $o ).

tff(decl_41,type,
    class_Rings_Olinordered__semidom: $i > $o ).

tff(decl_42,type,
    class_Rings_Olinordered__idom: $i > $o ).

tff(decl_43,type,
    class_Rings_Ono__zero__divisors: $i > $o ).

tff(decl_44,type,
    class_Rings_Oring__no__zero__divisors: $i > $o ).

tff(decl_45,type,
    class_Rings_Omult__zero: $i > $o ).

tff(decl_46,type,
    class_Rings_Ozero__neq__one: $i > $o ).

tff(decl_47,type,
    class_Rings_Olinordered__ring__strict: $i > $o ).

tff(decl_48,type,
    class_Rings_Olinordered__comm__semiring__strict: $i > $o ).

tff(decl_49,type,
    class_Rings_Olinordered__semiring__strict: $i > $o ).

tff(decl_50,type,
    class_Rings_Olinordered__ring: $i > $o ).

tff(decl_51,type,
    c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).

tff(decl_52,type,
    class_RealVector_Oreal__normed__field: $i > $o ).

tff(decl_53,type,
    class_Groups_Ocomm__monoid__mult: $i > $o ).

tff(decl_54,type,
    class_Groups_Omonoid__mult: $i > $o ).

tff(decl_55,type,
    class_RealVector_Oreal__normed__algebra: $i > $o ).

tff(decl_56,type,
    class_Rings_Oordered__cancel__semiring: $i > $o ).

tff(decl_57,type,
    class_Rings_Oordered__ring: $i > $o ).

tff(decl_58,type,
    class_Rings_Oordered__semiring: $i > $o ).

tff(decl_59,type,
    class_Rings_Oordered__comm__semiring: $i > $o ).

tff(decl_60,type,
    class_Rings_Olinordered__semiring: $i > $o ).

tff(decl_61,type,
    class_Groups_Ozero: $i > $o ).

tff(decl_62,type,
    class_Groups_Oab__semigroup__mult: $i > $o ).

tff(decl_63,type,
    class_Groups_Oone: $i > $o ).

tff(decl_64,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_65,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_66,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_67,type,
    class_Orderings_Oord: $i > $o ).

tff(decl_68,type,
    tc_fun: ( $i * $i ) > $i ).

tff(decl_69,type,
    class_Rings_Olinordered__semiring__1__strict: $i > $o ).

tff(decl_70,type,
    c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).

tff(decl_71,type,
    class_Rings_Olinordered__semiring__1: $i > $o ).

tff(decl_72,type,
    c_Rings_Oinverse__class_Oinverse: ( $i * $i ) > $i ).

tff(decl_73,type,
    c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).

tff(decl_74,type,
    class_Groups_Oab__semigroup__add: $i > $o ).

tff(decl_75,type,
    class_Groups_Ocancel__semigroup__add: $i > $o ).

tff(decl_76,type,
    class_Groups_Ocancel__ab__semigroup__add: $i > $o ).

tff(decl_77,type,
    class_Groups_Ocomm__monoid__add: $i > $o ).

tff(decl_78,type,
    class_Groups_Omonoid__add: $i > $o ).

tff(decl_79,type,
    class_Groups_Olinordered__ab__group__add: $i > $o ).

tff(decl_80,type,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).

tff(decl_81,type,
    class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).

tff(decl_82,type,
    class_Groups_Oordered__ab__semigroup__add: $i > $o ).

tff(decl_83,type,
    class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).

tff(decl_84,type,
    class_Rings_Ocomm__semiring: $i > $o ).

tff(decl_85,type,
    class_Rings_Osemiring: $i > $o ).

tff(decl_86,type,
    class_RealVector_Oreal__normed__vector: $i > $o ).

tff(decl_87,type,
    class_Groups_Osgn__if: $i > $o ).

tff(decl_88,type,
    class_RealVector_Oreal__normed__div__algebra: $i > $o ).

tff(decl_89,type,
    class_RealVector_Oreal__normed__algebra__1: $i > $o ).

tff(decl_90,type,
    class_Groups_Oordered__comm__monoid__add: $i > $o ).

tff(decl_91,type,
    c_Transcendental_Oln: $i ).

tff(decl_92,type,
    class_Int_Onumber: $i > $o ).

tff(decl_93,type,
    c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).

tff(decl_94,type,
    c_Deriv_Oderiv: ( $i * $i * $i * $i ) > $o ).

tff(decl_95,type,
    class_Int_Onumber__ring: $i > $o ).

tff(decl_96,type,
    tc_Int_Oint: $i ).

tff(decl_97,type,
    class_Int_Oring__char__0: $i > $o ).

tff(decl_98,type,
    c_Int_Osucc: $i > $i ).

tff(decl_99,type,
    c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).

tff(decl_100,type,
    c_Transcendental_Oexp: $i > $i ).

tff(decl_101,type,
    class_SEQ_Obanach: $i > $o ).

tff(decl_102,type,
    class_Groups_Ogroup__add: $i > $o ).

tff(decl_103,type,
    class_Groups_Oordered__ab__group__add: $i > $o ).

tff(decl_104,type,
    class_Lattices_Oboolean__algebra: $i > $o ).

tff(decl_105,type,
    class_Rings_Oidom: $i > $o ).

tff(decl_106,type,
    class_Rings_Oring: $i > $o ).

tff(decl_107,type,
    class_Groups_Oab__group__add: $i > $o ).

tff(decl_108,type,
    class_Groups_Ouminus: $i > $o ).

tff(decl_109,type,
    class_Rings_Ocomm__ring__1: $i > $o ).

tff(decl_110,type,
    class_Rings_Oring__1__no__zero__divisors: $i > $o ).

tff(decl_111,type,
    c_Int_Oiszero: ( $i * $i ) > $o ).

tff(decl_112,type,
    class_Rings_Osemiring__1: $i > $o ).

tff(decl_113,type,
    c_Int_OPls: $i ).

tff(decl_114,type,
    c_Int_Opred: $i > $i ).

tff(decl_115,type,
    tc_Nat_Onat: $i ).

tff(decl_116,type,
    c_Int_OBit1: $i > $i ).

tff(decl_117,type,
    hBOOL: $i > $o ).

tff(decl_118,type,
    tc_Code__Numeral_Ocode__numeral: $i ).

tff(decl_119,type,
    c_Int_OBit0: $i > $i ).

tff(decl_120,type,
    c_NthRoot_Osqrt: $i ).

tff(decl_121,type,
    c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).

tff(decl_122,type,
    class_Power_Opower: $i > $o ).

tff(decl_123,type,
    class_Rings_Osemiring__0: $i > $o ).

tff(decl_124,type,
    class_Rings_Oring__1: $i > $o ).

tff(decl_125,type,
    tc_Complex_Ocomplex: $i ).

tff(decl_126,type,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt: $i > $i ).

tff(decl_127,type,
    c_Transcendental_Oarctan: $i ).

tff(decl_128,type,
    c_Groups_Oabs__class_Oabs: ( $i * $i ) > $i ).

tff(decl_129,type,
    class_Rings_Oordered__ring__abs: $i > $o ).

tff(decl_130,type,
    class_Groups_Oordered__ab__group__add__abs: $i > $o ).

tff(decl_131,type,
    class_Groups_Oabs__if: $i > $o ).

tff(decl_132,type,
    tc_HOL_Obool: $i ).

tff(decl_133,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_134,type,
    esk2_0: $i ).

tff(decl_135,type,
    esk3_0: $i ).

tff(decl_136,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_137,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_138,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_139,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_140,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_141,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_142,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_143,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_144,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

fof(fact_ln__inj__iff,axiom,
    ! [X20,X21] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X21)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X20)
       => ( hAPP(c_Transcendental_Oln,X21) = hAPP(c_Transcendental_Oln,X20)
        <=> X21 = X20 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__inj__iff) ).

fof(fact_xt1_I10_J,axiom,
    ! [X5,X11,X19,X10] :
      ( class_Orderings_Oorder(X10)
     => ( c_Orderings_Oord__class_Oless(X10,X19,X11)
       => ( c_Orderings_Oord__class_Oless(X10,X5,X19)
         => c_Orderings_Oord__class_Oless(X10,X5,X11) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I10_J) ).

fof(fact_m_I1_J,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_m_I1_J) ).

fof(fact_exp__gt__zero,axiom,
    ! [X11] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_exp__gt__zero) ).

fof(fact_ln__exp,axiom,
    ! [X11] : hAPP(c_Transcendental_Oln,hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),X11)) = X11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ln__exp) ).

fof(fact_H_I3_J,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I3_J) ).

fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).

fof(fact_divide__strict__right__mono,axiom,
    ! [X26,X12,X9,X10] :
      ( class_Fields_Olinordered__field(X10)
     => ( c_Orderings_Oord__class_Oless(X10,X9,X12)
       => ( c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X26)
         => c_Orderings_Oord__class_Oless(X10,c_Rings_Oinverse__class_Odivide(X10,X9,X26),c_Rings_Oinverse__class_Odivide(X10,X12,X26)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__strict__right__mono) ).

fof(fact_nonzero__eq__divide__eq,axiom,
    ! [X16,X17,X18,X10] :
      ( class_Rings_Odivision__ring(X10)
     => ( X18 != c_Groups_Ozero__class_Ozero(X10)
       => ( X17 = c_Rings_Oinverse__class_Odivide(X10,X16,X18)
        <=> hAPP(c_Groups_Otimes__class_Otimes(X10,X17),X18) = X16 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nonzero__eq__divide__eq) ).

fof(fact_exp__not__eq__zero,axiom,
    ! [X11,X10] :
      ( ( class_RealVector_Oreal__normed__field(X10)
        & class_SEQ_Obanach(X10) )
     => hAPP(c_Transcendental_Oexp(X10),X11) != c_Groups_Ozero__class_Ozero(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_exp__not__eq__zero) ).

fof(fact_linorder__neqE__linordered__idom,axiom,
    ! [X19,X11,X10] :
      ( class_Rings_Olinordered__idom(X10)
     => ( X11 != X19
       => ( ~ c_Orderings_Oord__class_Oless(X10,X11,X19)
         => c_Orderings_Oord__class_Oless(X10,X19,X11) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).

fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).

fof(arity_RealDef__Oreal__SEQ_Obanach,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__SEQ_Obanach) ).

fof(arity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__field) ).

fof(conj_0,conjecture,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(fact_real__mult__commute,axiom,
    ! [X4,X5] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X5),X4) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X4),X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).

fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
    class_Rings_Odivision__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Odivision__ring) ).

fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).

fof(fact_real__less__def,axiom,
    ! [X20,X21] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X21,X20)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X20)
        & X21 != X20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).

fof(fact_H_I1_J,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I1_J) ).

fof(fact_divide__real__def,axiom,
    ! [X19,X11] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X11,X19) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X11),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_divide__real__def) ).

fof(fact_inverse__divide,axiom,
    ! [X12,X9,X10] :
      ( class_Fields_Ofield__inverse__zero(X10)
     => c_Rings_Oinverse__class_Oinverse(X10,c_Rings_Oinverse__class_Odivide(X10,X9,X12)) = c_Rings_Oinverse__class_Odivide(X10,X12,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_inverse__divide) ).

fof(fact_assms,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_assms) ).

fof(fact_real__mult__assoc,axiom,
    ! [X6,X7,X8] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X8),X7)),X6) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X8),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X7),X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__assoc) ).

fof(fact_right__inverse,axiom,
    ! [X9,X10] :
      ( class_Rings_Odivision__ring(X10)
     => ( X9 != c_Groups_Ozero__class_Ozero(X10)
       => hAPP(c_Groups_Otimes__class_Otimes(X10,X9),c_Rings_Oinverse__class_Oinverse(X10,X9)) = c_Groups_Oone__class_Oone(X10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_right__inverse) ).

fof(fact_real__mult__1,axiom,
    ! [X5] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5) = X5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1) ).

fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
    class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).

fof(c_0_27,plain,
    ! [X1299,X1300] :
      ( ( hAPP(c_Transcendental_Oln,X1300) != hAPP(c_Transcendental_Oln,X1299)
        | X1300 = X1299
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1299)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1300) )
      & ( X1300 != X1299
        | hAPP(c_Transcendental_Oln,X1300) = hAPP(c_Transcendental_Oln,X1299)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1299)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1300) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__inj__iff])])]) ).

fof(c_0_28,plain,
    ! [X702,X703,X704,X705] :
      ( ~ class_Orderings_Oorder(X705)
      | ~ c_Orderings_Oord__class_Oless(X705,X704,X703)
      | ~ c_Orderings_Oord__class_Oless(X705,X702,X704)
      | c_Orderings_Oord__class_Oless(X705,X702,X703) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I10_J])]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | hAPP(c_Transcendental_Oln,X1) != hAPP(c_Transcendental_Oln,X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_30,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
    inference(split_conjunct,[status(thm)],[fact_m_I1_J]) ).

fof(c_0_31,plain,
    ! [X1677] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),X1677)),
    inference(variable_rename,[status(thm)],[fact_exp__gt__zero]) ).

fof(c_0_32,plain,
    ! [X1617] : hAPP(c_Transcendental_Oln,hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),X1617)) = X1617,
    inference(variable_rename,[status(thm)],[fact_ln__exp]) ).

cnf(c_0_33,plain,
    ( c_Orderings_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
    inference(split_conjunct,[status(thm)],[fact_H_I3_J]) ).

cnf(c_0_35,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]) ).

fof(c_0_36,plain,
    ! [X202,X203,X204,X205] :
      ( ~ class_Fields_Olinordered__field(X205)
      | ~ c_Orderings_Oord__class_Oless(X205,X204,X203)
      | ~ c_Orderings_Oord__class_Oless(X205,c_Groups_Ozero__class_Ozero(X205),X202)
      | c_Orderings_Oord__class_Oless(X205,c_Rings_Oinverse__class_Odivide(X205,X204,X202),c_Rings_Oinverse__class_Odivide(X205,X203,X202)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__strict__right__mono])]) ).

fof(c_0_37,plain,
    ! [X265,X266,X267,X268] :
      ( ( X266 != c_Rings_Oinverse__class_Odivide(X268,X265,X267)
        | hAPP(c_Groups_Otimes__class_Otimes(X268,X266),X267) = X265
        | X267 = c_Groups_Ozero__class_Ozero(X268)
        | ~ class_Rings_Odivision__ring(X268) )
      & ( hAPP(c_Groups_Otimes__class_Otimes(X268,X266),X267) != X265
        | X266 = c_Rings_Oinverse__class_Odivide(X268,X265,X267)
        | X267 = c_Groups_Ozero__class_Ozero(X268)
        | ~ class_Rings_Odivision__ring(X268) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__eq__divide__eq])])]) ).

fof(c_0_38,plain,
    ! [X1622,X1623] :
      ( ~ class_RealVector_Oreal__normed__field(X1623)
      | ~ class_SEQ_Obanach(X1623)
      | hAPP(c_Transcendental_Oexp(X1623),X1622) != c_Groups_Ozero__class_Ozero(X1623) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_exp__not__eq__zero])]) ).

cnf(c_0_39,plain,
    ( X1 = v_m____
    | hAPP(c_Transcendental_Oln,X1) != hAPP(c_Transcendental_Oln,v_m____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_40,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),X1)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,plain,
    hAPP(c_Transcendental_Oln,hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_42,plain,
    ! [X19,X11,X10] :
      ( class_Rings_Olinordered__idom(X10)
     => ( X11 != X19
       => ( ~ c_Orderings_Oord__class_Oless(X10,X11,X19)
         => c_Orderings_Oord__class_Oless(X10,X19,X11) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_linorder__neqE__linordered__idom]) ).

cnf(c_0_43,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_44,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))
    | ~ class_Fields_Olinordered__field(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_45,plain,
    class_Fields_Olinordered__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field]) ).

cnf(c_0_46,plain,
    ( X2 = c_Rings_Oinverse__class_Odivide(X1,X4,X3)
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(c_Groups_Otimes__class_Otimes(X1,X2),X3) != X4
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_47,plain,
    ( ~ class_RealVector_Oreal__normed__field(X1)
    | ~ class_SEQ_Obanach(X1)
    | hAPP(c_Transcendental_Oexp(X1),X2) != c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,plain,
    hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),hAPP(c_Transcendental_Oln,v_m____)) = v_m____,
    inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_49,plain,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__SEQ_Obanach]) ).

cnf(c_0_50,plain,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__field]) ).

fof(c_0_51,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_52,plain,
    ! [X82,X83] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X83),X82) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X82),X83),
    inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).

fof(c_0_53,plain,
    ! [X274,X275,X276] :
      ( ~ class_Rings_Olinordered__idom(X276)
      | X275 = X274
      | c_Orderings_Oord__class_Oless(X276,X275,X274)
      | c_Orderings_Oord__class_Oless(X276,X274,X275) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).

cnf(c_0_54,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,v_m____))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_30])]) ).

cnf(c_0_55,plain,
    ( c_Rings_Oinverse__class_Odivide(X1,hAPP(c_Groups_Otimes__class_Otimes(X1,X2),X3),X3) = X2
    | X3 = c_Groups_Ozero__class_Ozero(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(er,[status(thm)],[c_0_46]) ).

cnf(c_0_56,plain,
    class_Rings_Odivision__ring(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Odivision__ring]) ).

cnf(c_0_57,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != v_m____,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]) ).

cnf(c_0_58,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_59,plain,
    hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),X2) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_60,plain,
    ( X2 = X3
    | c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless(X1,X3,X2)
    | ~ class_Rings_Olinordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_61,plain,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]) ).

fof(c_0_62,plain,
    ! [X389,X390] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X390,X389)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X390,X389) )
      & ( X390 != X389
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X390,X389) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X390,X389)
        | X390 = X389
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X390,X389) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__def])])]) ).

cnf(c_0_63,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_da____),
    inference(split_conjunct,[status(thm)],[fact_H_I1_J]) ).

fof(c_0_64,plain,
    ! [X1177,X1178] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1178,X1177) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1178),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1177)),
    inference(variable_rename,[status(thm)],[fact_divide__real__def]) ).

fof(c_0_65,plain,
    ! [X920,X921,X922] :
      ( ~ class_Fields_Ofield__inverse__zero(X922)
      | c_Rings_Oinverse__class_Oinverse(X922,c_Rings_Oinverse__class_Odivide(X922,X921,X920)) = c_Rings_Oinverse__class_Odivide(X922,X920,X921) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__divide])]) ).

cnf(c_0_66,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),v_m____)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_67,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),v_da____),v_e),
    inference(rw,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_68,plain,
    ( X1 = X2
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_69,plain,
    ( X1 != X2
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_70,plain,
    ( X1 = v_da____
    | hAPP(c_Transcendental_Oln,X1) != hAPP(c_Transcendental_Oln,v_da____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_63]) ).

cnf(c_0_71,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e),
    inference(split_conjunct,[status(thm)],[fact_assms]) ).

fof(c_0_72,plain,
    ! [X84,X85,X86] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X86),X85)),X84) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X86),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X85),X84)),
    inference(variable_rename,[status(thm)],[fact_real__mult__assoc]) ).

fof(c_0_73,plain,
    ! [X1209,X1210] :
      ( ~ class_Rings_Odivision__ring(X1210)
      | X1209 = c_Groups_Ozero__class_Ozero(X1210)
      | hAPP(c_Groups_Otimes__class_Otimes(X1210,X1209),c_Rings_Oinverse__class_Oinverse(X1210,X1209)) = c_Groups_Oone__class_Oone(X1210) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__inverse])]) ).

fof(c_0_74,plain,
    ! [X109] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X109) = X109,
    inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).

cnf(c_0_75,plain,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2)),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_76,plain,
    ( c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Fields_Ofield__inverse__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_77,plain,
    class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Ofield__inverse__zero]) ).

cnf(c_0_78,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,X1)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),X1)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_59]) ).

cnf(c_0_79,negated_conjecture,
    ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),v_da____) = v_e
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),v_da____)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_80,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(er,[status(thm)],[c_0_69]) ).

cnf(c_0_81,plain,
    hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),hAPP(c_Transcendental_Oln,v_da____)) = v_da____,
    inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_40]),c_0_41])]) ).

cnf(c_0_82,plain,
    ( X1 = v_e
    | hAPP(c_Transcendental_Oln,X1) != hAPP(c_Transcendental_Oln,v_e)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_71]) ).

cnf(c_0_83,plain,
    hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),X2)),X3) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X2),X3)),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_84,plain,
    ( X2 = c_Groups_Ozero__class_Ozero(X1)
    | hAPP(c_Groups_Otimes__class_Otimes(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X2)) = c_Groups_Oone__class_Oone(X1)
    | ~ class_Rings_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_85,plain,
    hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_86,plain,
    hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),X2) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1),
    inference(spm,[status(thm)],[c_0_59,c_0_75]) ).

cnf(c_0_87,plain,
    hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X3)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X3,X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).

cnf(c_0_88,negated_conjecture,
    hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),v_da____) = v_e,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

cnf(c_0_89,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != v_da____,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_81]),c_0_49]),c_0_50])]) ).

cnf(c_0_90,plain,
    hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),hAPP(c_Transcendental_Oln,v_e)) = v_e,
    inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_40]),c_0_41])]) ).

cnf(c_0_91,plain,
    ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2)) = X2
    | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_56])]),c_0_86]),c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_da____) = v_m____,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_88]),c_0_56])]),c_0_89]) ).

cnf(c_0_93,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != v_e,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_90]),c_0_49]),c_0_50])]) ).

cnf(c_0_94,negated_conjecture,
    c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____) = v_da____,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).

cnf(c_0_95,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_94]),c_0_80]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.18/0.35  % Computer : n014.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Sun Aug 27 22:49:31 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 6.10/6.18  % Version  : CSE_E---1.5
% 6.10/6.18  % Problem  : theBenchmark.p
% 6.10/6.18  % Proof found
% 6.10/6.18  % SZS status Theorem for theBenchmark.p
% 6.10/6.18  % SZS output start Proof
% See solution above
% 6.10/6.19  % Total time : 5.551000 s
% 6.10/6.19  % SZS output end Proof
% 6.10/6.19  % Total time : 5.592000 s
%------------------------------------------------------------------------------