TSTP Solution File: SWW237+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW237+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n010.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 00:16:41 EDT 2023

% Result   : Theorem 0.65s 1.29s
% Output   : CNFRefutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  161
% Syntax   : Number of formulae    :  177 (  13 unt; 153 typ;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   41 (  18   ~;  16   |;   1   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  213 ( 138   >;  75   *;   0   +;   0  <<)
%            Number of predicates  :   81 (  80 usr;   1 prp; 0-3 aty)
%            Number of functors    :   73 (  73 usr;  15 con; 0-5 aty)
%            Number of variables   :   32 (   0 sgn;  20   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    tc_Complex_Ocomplex: $i ).

tff(decl_25,type,
    tc_Polynomial_Opoly: $i > $i ).

tff(decl_26,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

tff(decl_27,type,
    class_Groups_Oordered__ab__group__add__abs: $i > $o ).

tff(decl_28,type,
    c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).

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

tff(decl_30,type,
    c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).

tff(decl_31,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_32,type,
    tc_RealDef_Oreal: $i ).

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

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

tff(decl_35,type,
    v_cs____: $i ).

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

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

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

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

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

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

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

tff(decl_43,type,
    tc_fun: ( $i * $i ) > $i ).

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

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

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

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

tff(decl_48,type,
    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).

tff(decl_49,type,
    class_Rings_Ocomm__semiring__1: $i > $o ).

tff(decl_50,type,
    v_c____: $i ).

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

tff(decl_52,type,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).

tff(decl_53,type,
    tc_Nat_Onat: $i ).

tff(decl_54,type,
    c_Polynomial_Opoly__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_55,type,
    c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).

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

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

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

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

tff(decl_60,type,
    c_fequal: ( $i * $i ) > $i ).

tff(decl_61,type,
    c_If: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

tff(decl_69,type,
    v_da____: $i ).

tff(decl_70,type,
    v_aa____: $i ).

tff(decl_71,type,
    c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).

tff(decl_72,type,
    v_z____: $i ).

tff(decl_73,type,
    hBOOL: $i > $o ).

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

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

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

tff(decl_77,type,
    c_Groups_Otimes__class_Otimes: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(decl_91,type,
    class_Rings_Oring: $i > $o ).

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

tff(decl_93,type,
    class_Fields_Ofield: $i > $o ).

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

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

tff(decl_96,type,
    class_Rings_Oordered__cancel__semiring: $i > $o ).

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

tff(decl_98,type,
    class_Rings_Oordered__semiring: $i > $o ).

tff(decl_99,type,
    class_Rings_Oordered__comm__semiring: $i > $o ).

tff(decl_100,type,
    class_Fields_Olinordered__field: $i > $o ).

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

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

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

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

tff(decl_105,type,
    c_Polynomial_Opoly: ( $i * $i ) > $i ).

tff(decl_106,type,
    class_Int_Oring__char__0: $i > $o ).

tff(decl_107,type,
    class_Rings_Ocomm__semiring__0: $i > $o ).

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

tff(decl_109,type,
    c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).

tff(decl_110,type,
    c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).

tff(decl_111,type,
    c_Complex_Oexpi: $i > $i ).

tff(decl_112,type,
    class_Rings_Olinordered__semiring__1__strict: $i > $o ).

tff(decl_113,type,
    c_Groups_Oone__class_Oone: $i > $i ).

tff(decl_114,type,
    c_Complex_Orcis: ( $i * $i ) > $i ).

tff(decl_115,type,
    class_RealVector_Oreal__normed__algebra__1: $i > $o ).

tff(decl_116,type,
    class_Rings_Ozero__neq__one: $i > $o ).

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

tff(decl_118,type,
    class_Groups_Ocomm__monoid__mult: $i > $o ).

tff(decl_119,type,
    class_Groups_Omonoid__mult: $i > $o ).

tff(decl_120,type,
    class_Rings_Ocomm__ring__1: $i > $o ).

tff(decl_121,type,
    class_Rings_Oring__1__no__zero__divisors: $i > $o ).

tff(decl_122,type,
    class_Rings_Olinordered__semiring__1: $i > $o ).

tff(decl_123,type,
    c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).

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

tff(decl_125,type,
    class_Rings_Odvd: $i > $o ).

tff(decl_126,type,
    class_Rings_Osemiring__0: $i > $o ).

tff(decl_127,type,
    c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).

tff(decl_128,type,
    c_Power_Opower__class_Opower: $i > $i ).

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

tff(decl_130,type,
    tc_Int_Oint: $i ).

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

tff(decl_132,type,
    class_Rings_Oring__1: $i > $o ).

tff(decl_133,type,
    c_Nat_OSuc: $i > $i ).

tff(decl_134,type,
    c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).

tff(decl_135,type,
    c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).

tff(decl_136,type,
    class_Groups_Ominus: $i > $o ).

tff(decl_137,type,
    class_RealVector_Oreal__field: $i > $o ).

tff(decl_138,type,
    class_Groups_Ocancel__comm__monoid__add: $i > $o ).

tff(decl_139,type,
    tc_HOL_Obool: $i ).

tff(decl_140,type,
    v_mzh: $i ).

tff(decl_141,type,
    v_mazh: $i ).

tff(decl_142,type,
    v_ma: $i ).

tff(decl_143,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_144,type,
    esk2_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_145,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_146,type,
    esk4_0: $i ).

tff(decl_147,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_148,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_149,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_150,type,
    esk8_1: $i > $i ).

tff(decl_151,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_152,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_153,type,
    esk11_2: ( $i * $i ) > $i ).

tff(decl_154,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_155,type,
    esk13_1: $i > $i ).

tff(decl_156,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_157,type,
    esk15_2: ( $i * $i ) > $i ).

tff(decl_158,type,
    esk16_2: ( $i * $i ) > $i ).

tff(decl_159,type,
    esk17_2: ( $i * $i ) > $i ).

tff(decl_160,type,
    esk18_1: $i > $i ).

tff(decl_161,type,
    esk19_2: ( $i * $i ) > $i ).

tff(decl_162,type,
    esk20_3: ( $i * $i * $i ) > $i ).

tff(decl_163,type,
    esk21_3: ( $i * $i * $i ) > $i ).

tff(decl_164,type,
    esk22_3: ( $i * $i * $i ) > $i ).

tff(decl_165,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_166,type,
    esk24_1: $i > $i ).

tff(decl_167,type,
    esk25_2: ( $i * $i ) > $i ).

tff(decl_168,type,
    esk26_2: ( $i * $i ) > $i ).

tff(decl_169,type,
    esk27_3: ( $i * $i * $i ) > $i ).

tff(decl_170,type,
    esk28_2: ( $i * $i ) > $i ).

tff(decl_171,type,
    esk29_2: ( $i * $i ) > $i ).

tff(decl_172,type,
    esk30_2: ( $i * $i ) > $i ).

tff(decl_173,type,
    esk31_3: ( $i * $i * $i ) > $i ).

tff(decl_174,type,
    esk32_3: ( $i * $i * $i ) > $i ).

fof(fact_real__le__trans,axiom,
    ! [X19,X20,X21] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X20)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X20,X19)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X21,X19) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).

fof(fact_add__le__cancel__right,axiom,
    ! [X10,X11,X12,X6] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X6)
     => ( c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oplus__class_Oplus(X6,X12,X11),c_Groups_Oplus__class_Oplus(X6,X10,X11))
      <=> c_Orderings_Oord__class_Oless__eq(X6,X12,X10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__cancel__right) ).

fof(conj_0,hypothesis,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le) ).

fof(fact_abs__le__D1,axiom,
    ! [X4,X5,X6] :
      ( class_Groups_Oordered__ab__group__add__abs(X6)
     => ( c_Orderings_Oord__class_Oless__eq(X6,c_Groups_Oabs__class_Oabs(X6,X5),X4)
       => c_Orderings_Oord__class_Oless__eq(X6,X5,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__le__D1) ).

fof(conj_1,hypothesis,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(conj_2,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).

fof(c_0_8,plain,
    ! [X260,X261,X262] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X262,X261)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X261,X260)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X262,X260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).

fof(c_0_9,plain,
    ! [X110,X111,X112,X113] :
      ( ( ~ c_Orderings_Oord__class_Oless__eq(X113,c_Groups_Oplus__class_Oplus(X113,X112,X111),c_Groups_Oplus__class_Oplus(X113,X110,X111))
        | c_Orderings_Oord__class_Oless__eq(X113,X112,X110)
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X113) )
      & ( ~ c_Orderings_Oord__class_Oless__eq(X113,X112,X110)
        | c_Orderings_Oord__class_Oless__eq(X113,c_Groups_Oplus__class_Oplus(X113,X112,X111),c_Groups_Oplus__class_Oplus(X113,X110,X111))
        | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X113) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__right])])]) ).

cnf(c_0_10,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,hypothesis,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_12,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
    | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,hypothesis,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_mzh) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le]) ).

fof(c_0_15,plain,
    ! [X107,X108,X109] :
      ( ~ class_Groups_Oordered__ab__group__add__abs(X109)
      | ~ c_Orderings_Oord__class_Oless__eq(X109,c_Groups_Oabs__class_Oabs(X109,X108),X107)
      | c_Orderings_Oord__class_Oless__eq(X109,X108,X107) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__D1])]) ).

cnf(c_0_16,hypothesis,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_mazh)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,v_ma),v_mzh) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_17,hypothesis,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

fof(c_0_18,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])]) ).

cnf(c_0_19,plain,
    ( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
    | ~ class_Groups_Oordered__ab__group__add__abs(X1)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,hypothesis,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_mazh),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]) ).

cnf(c_0_22,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWW237+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun Aug 27 20:22:34 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.65/1.29  % Version  : CSE_E---1.5
% 0.65/1.29  % Problem  : theBenchmark.p
% 0.65/1.29  % Proof found
% 0.65/1.29  % SZS status Theorem for theBenchmark.p
% 0.65/1.29  % SZS output start Proof
% See solution above
% 0.65/1.30  % Total time : 0.662000 s
% 0.65/1.30  % SZS output end Proof
% 0.65/1.30  % Total time : 0.704000 s
%------------------------------------------------------------------------------