TSTP Solution File: SET714+4 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SET714+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n005.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 : Thu Aug 31 14:35:19 EDT 2023

% Result   : Theorem 9.72s 9.88s
% Output   : CNFRefutation 9.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   79
% Syntax   : Number of formulae    :  109 (   5 unt;  73 typ;   0 def)
%            Number of atoms       :  186 (   4 equ)
%            Maximal formula atoms :   55 (   5 avg)
%            Number of connectives :  239 (  89   ~; 101   |;  36   &)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  249 (  69   >; 180   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-6 aty)
%            Number of functors    :   58 (  58 usr;   4 con; 0-8 aty)
%            Number of variables   :  121 (   0 sgn;  67   !;   3   ?;   0   :)

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

tff(decl_23,type,
    member: ( $i * $i ) > $o ).

tff(decl_24,type,
    equal_set: ( $i * $i ) > $o ).

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

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

tff(decl_27,type,
    union: ( $i * $i ) > $i ).

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

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

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

tff(decl_31,type,
    unordered_pair: ( $i * $i ) > $i ).

tff(decl_32,type,
    sum: $i > $i ).

tff(decl_33,type,
    product: $i > $i ).

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

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

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

tff(decl_37,type,
    compose_function: ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

tff(decl_44,type,
    inverse_function: ( $i * $i * $i ) > $i ).

tff(decl_45,type,
    image2: ( $i * $i ) > $i ).

tff(decl_46,type,
    image3: ( $i * $i * $i ) > $i ).

tff(decl_47,type,
    inverse_image2: ( $i * $i ) > $i ).

tff(decl_48,type,
    inverse_image3: ( $i * $i * $i ) > $i ).

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

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

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

tff(decl_52,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_53,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_55,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_56,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_57,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_58,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_59,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_60,type,
    esk9_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_61,type,
    esk10_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_62,type,
    esk11_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_63,type,
    esk12_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_64,type,
    esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_65,type,
    esk14_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_66,type,
    esk15_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_67,type,
    esk16_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_68,type,
    esk17_2: ( $i * $i ) > $i ).

tff(decl_69,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_70,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_71,type,
    esk20_3: ( $i * $i * $i ) > $i ).

tff(decl_72,type,
    esk21_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_73,type,
    esk22_3: ( $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk23_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_75,type,
    esk24_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_76,type,
    esk25_3: ( $i * $i * $i ) > $i ).

tff(decl_77,type,
    esk26_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_78,type,
    esk27_3: ( $i * $i * $i ) > $i ).

tff(decl_79,type,
    esk28_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_80,type,
    esk29_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_81,type,
    esk30_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    esk31_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk32_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk33_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk34_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk35_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk36_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_88,type,
    esk37_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_89,type,
    esk38_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk39_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk40_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk41_0: $i ).

tff(decl_93,type,
    esk42_0: $i ).

tff(decl_94,type,
    esk43_0: $i ).

fof(thII05,conjecture,
    ! [X6,X1,X2] :
      ( ( maps(X6,X1,X2)
        & one_to_one(X6,X1,X2) )
     => identity(compose_function(inverse_function(X6,X1,X2),X6,X1,X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII05) ).

fof(maps,axiom,
    ! [X6,X1,X2] :
      ( maps(X6,X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => ? [X5] :
                ( member(X5,X2)
                & apply(X6,X3,X5) ) )
        & ! [X3,X7,X8] :
            ( ( member(X3,X1)
              & member(X7,X2)
              & member(X8,X2) )
           => ( ( apply(X6,X3,X7)
                & apply(X6,X3,X8) )
             => X7 = X8 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).

fof(identity,axiom,
    ! [X6,X1] :
      ( identity(X6,X1)
    <=> ! [X3] :
          ( member(X3,X1)
         => apply(X6,X3,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',identity) ).

fof(compose_function,axiom,
    ! [X10,X6,X1,X2,X11,X3,X12] :
      ( ( member(X3,X1)
        & member(X12,X11) )
     => ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
      <=> ? [X5] :
            ( member(X5,X2)
            & apply(X6,X3,X5)
            & apply(X10,X5,X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',compose_function) ).

fof(inverse_image2,axiom,
    ! [X6,X2,X3] :
      ( member(X3,inverse_image2(X6,X2))
    <=> ? [X5] :
          ( member(X5,X2)
          & apply(X6,X3,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_image2) ).

fof(inverse_function,axiom,
    ! [X6,X1,X2,X3,X5] :
      ( ( member(X3,X1)
        & member(X5,X2) )
     => ( apply(X6,X3,X5)
      <=> apply(inverse_function(X6,X1,X2),X5,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_function) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X6,X1,X2] :
        ( ( maps(X6,X1,X2)
          & one_to_one(X6,X1,X2) )
       => identity(compose_function(inverse_function(X6,X1,X2),X6,X1,X2,X1),X1) ),
    inference(assume_negation,[status(cth)],[thII05]) ).

fof(c_0_7,plain,
    ! [X54,X55,X56,X57,X59,X60,X61,X62,X63,X64,X66] :
      ( ( member(esk4_4(X54,X55,X56,X57),X56)
        | ~ member(X57,X55)
        | ~ maps(X54,X55,X56) )
      & ( apply(X54,X57,esk4_4(X54,X55,X56,X57))
        | ~ member(X57,X55)
        | ~ maps(X54,X55,X56) )
      & ( ~ member(X59,X55)
        | ~ member(X60,X56)
        | ~ member(X61,X56)
        | ~ apply(X54,X59,X60)
        | ~ apply(X54,X59,X61)
        | X60 = X61
        | ~ maps(X54,X55,X56) )
      & ( member(esk6_3(X62,X63,X64),X63)
        | member(esk5_3(X62,X63,X64),X63)
        | maps(X62,X63,X64) )
      & ( member(esk7_3(X62,X63,X64),X64)
        | member(esk5_3(X62,X63,X64),X63)
        | maps(X62,X63,X64) )
      & ( member(esk8_3(X62,X63,X64),X64)
        | member(esk5_3(X62,X63,X64),X63)
        | maps(X62,X63,X64) )
      & ( apply(X62,esk6_3(X62,X63,X64),esk7_3(X62,X63,X64))
        | member(esk5_3(X62,X63,X64),X63)
        | maps(X62,X63,X64) )
      & ( apply(X62,esk6_3(X62,X63,X64),esk8_3(X62,X63,X64))
        | member(esk5_3(X62,X63,X64),X63)
        | maps(X62,X63,X64) )
      & ( esk7_3(X62,X63,X64) != esk8_3(X62,X63,X64)
        | member(esk5_3(X62,X63,X64),X63)
        | maps(X62,X63,X64) )
      & ( member(esk6_3(X62,X63,X64),X63)
        | ~ member(X66,X64)
        | ~ apply(X62,esk5_3(X62,X63,X64),X66)
        | maps(X62,X63,X64) )
      & ( member(esk7_3(X62,X63,X64),X64)
        | ~ member(X66,X64)
        | ~ apply(X62,esk5_3(X62,X63,X64),X66)
        | maps(X62,X63,X64) )
      & ( member(esk8_3(X62,X63,X64),X64)
        | ~ member(X66,X64)
        | ~ apply(X62,esk5_3(X62,X63,X64),X66)
        | maps(X62,X63,X64) )
      & ( apply(X62,esk6_3(X62,X63,X64),esk7_3(X62,X63,X64))
        | ~ member(X66,X64)
        | ~ apply(X62,esk5_3(X62,X63,X64),X66)
        | maps(X62,X63,X64) )
      & ( apply(X62,esk6_3(X62,X63,X64),esk8_3(X62,X63,X64))
        | ~ member(X66,X64)
        | ~ apply(X62,esk5_3(X62,X63,X64),X66)
        | maps(X62,X63,X64) )
      & ( esk7_3(X62,X63,X64) != esk8_3(X62,X63,X64)
        | ~ member(X66,X64)
        | ~ apply(X62,esk5_3(X62,X63,X64),X66)
        | maps(X62,X63,X64) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])]) ).

fof(c_0_8,negated_conjecture,
    ( maps(esk41_0,esk42_0,esk43_0)
    & one_to_one(esk41_0,esk42_0,esk43_0)
    & ~ identity(compose_function(inverse_function(esk41_0,esk42_0,esk43_0),esk41_0,esk42_0,esk43_0,esk42_0),esk42_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_9,plain,
    ! [X113,X114,X115,X116,X117] :
      ( ( ~ identity(X113,X114)
        | ~ member(X115,X114)
        | apply(X113,X115,X115) )
      & ( member(esk17_2(X116,X117),X117)
        | identity(X116,X117) )
      & ( ~ apply(X116,esk17_2(X116,X117),esk17_2(X116,X117))
        | identity(X116,X117) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[identity])])])])])]) ).

fof(c_0_10,plain,
    ! [X90,X91,X92,X93,X94,X95,X96,X98] :
      ( ( member(esk13_7(X90,X91,X92,X93,X94,X95,X96),X93)
        | ~ apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
        | ~ member(X95,X92)
        | ~ member(X96,X94) )
      & ( apply(X91,X95,esk13_7(X90,X91,X92,X93,X94,X95,X96))
        | ~ apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
        | ~ member(X95,X92)
        | ~ member(X96,X94) )
      & ( apply(X90,esk13_7(X90,X91,X92,X93,X94,X95,X96),X96)
        | ~ apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
        | ~ member(X95,X92)
        | ~ member(X96,X94) )
      & ( ~ member(X98,X93)
        | ~ apply(X91,X95,X98)
        | ~ apply(X90,X98,X96)
        | apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
        | ~ member(X95,X92)
        | ~ member(X96,X94) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])]) ).

fof(c_0_11,plain,
    ! [X179,X180,X181,X183,X184,X185,X186] :
      ( ( member(esk27_3(X179,X180,X181),X180)
        | ~ member(X181,inverse_image2(X179,X180)) )
      & ( apply(X179,X181,esk27_3(X179,X180,X181))
        | ~ member(X181,inverse_image2(X179,X180)) )
      & ( ~ member(X186,X184)
        | ~ apply(X183,X185,X186)
        | member(X185,inverse_image2(X183,X184)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_image2])])])])])]) ).

cnf(c_0_12,plain,
    ( apply(X1,X2,esk4_4(X1,X3,X4,X2))
    | ~ member(X2,X3)
    | ~ maps(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    maps(esk41_0,esk42_0,esk43_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( identity(X1,X2)
    | ~ apply(X1,esk17_2(X1,X2),esk17_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( apply(compose_function(X5,X3,X7,X2,X8),X4,X6)
    | ~ member(X1,X2)
    | ~ apply(X3,X4,X1)
    | ~ apply(X5,X1,X6)
    | ~ member(X4,X7)
    | ~ member(X6,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ~ identity(compose_function(inverse_function(esk41_0,esk42_0,esk43_0),esk41_0,esk42_0,esk43_0,esk42_0),esk42_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( member(esk17_2(X1,X2),X2)
    | identity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_18,plain,
    ( member(X4,inverse_image2(X3,X2))
    | ~ member(X1,X2)
    | ~ apply(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    ( apply(esk41_0,X1,esk4_4(esk41_0,esk42_0,esk43_0,X1))
    | ~ member(X1,esk42_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_20,plain,
    ( member(esk4_4(X1,X2,X3,X4),X3)
    | ~ member(X4,X2)
    | ~ maps(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,plain,
    ( identity(compose_function(X1,X2,X3,X4,X5),X6)
    | ~ apply(X1,X7,esk17_2(compose_function(X1,X2,X3,X4,X5),X6))
    | ~ apply(X2,esk17_2(compose_function(X1,X2,X3,X4,X5),X6),X7)
    | ~ member(esk17_2(compose_function(X1,X2,X3,X4,X5),X6),X5)
    | ~ member(esk17_2(compose_function(X1,X2,X3,X4,X5),X6),X3)
    | ~ member(X7,X4) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    member(esk17_2(compose_function(inverse_function(esk41_0,esk42_0,esk43_0),esk41_0,esk42_0,esk43_0,esk42_0),esk42_0),esk42_0),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_23,plain,
    ! [X156,X157,X158,X159,X160] :
      ( ( ~ apply(X156,X159,X160)
        | apply(inverse_function(X156,X157,X158),X160,X159)
        | ~ member(X159,X157)
        | ~ member(X160,X158) )
      & ( ~ apply(inverse_function(X156,X157,X158),X160,X159)
        | apply(X156,X159,X160)
        | ~ member(X159,X157)
        | ~ member(X160,X158) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_function])])]) ).

cnf(c_0_24,negated_conjecture,
    ( member(X1,inverse_image2(esk41_0,X2))
    | ~ member(esk4_4(esk41_0,esk42_0,esk43_0,X1),X2)
    | ~ member(X1,esk42_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ( member(esk4_4(esk41_0,esk42_0,esk43_0,X1),esk43_0)
    | ~ member(X1,esk42_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_13]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ apply(inverse_function(esk41_0,esk42_0,esk43_0),X1,esk17_2(compose_function(inverse_function(esk41_0,esk42_0,esk43_0),esk41_0,esk42_0,esk43_0,esk42_0),esk42_0))
    | ~ apply(esk41_0,esk17_2(compose_function(inverse_function(esk41_0,esk42_0,esk43_0),esk41_0,esk42_0,esk43_0,esk42_0),esk42_0),X1)
    | ~ member(X1,esk43_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21]),c_0_22])]) ).

cnf(c_0_27,plain,
    ( apply(inverse_function(X1,X4,X5),X3,X2)
    | ~ apply(X1,X2,X3)
    | ~ member(X2,X4)
    | ~ member(X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    ( apply(X1,X2,esk27_3(X1,X3,X2))
    | ~ member(X2,inverse_image2(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    ( member(X1,inverse_image2(esk41_0,esk43_0))
    | ~ member(X1,esk42_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ apply(esk41_0,esk17_2(compose_function(inverse_function(esk41_0,esk42_0,esk43_0),esk41_0,esk42_0,esk43_0,esk42_0),esk42_0),X1)
    | ~ member(X1,esk43_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22])]) ).

cnf(c_0_31,negated_conjecture,
    ( apply(esk41_0,X1,esk27_3(esk41_0,esk43_0,X1))
    | ~ member(X1,esk42_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( member(esk27_3(X1,X2,X3),X2)
    | ~ member(X3,inverse_image2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_33,negated_conjecture,
    ~ member(esk27_3(esk41_0,esk43_0,esk17_2(compose_function(inverse_function(esk41_0,esk42_0,esk43_0),esk41_0,esk42_0,esk43_0,esk42_0),esk42_0)),esk43_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_22])]) ).

cnf(c_0_34,negated_conjecture,
    ( member(esk27_3(esk41_0,esk43_0,X1),esk43_0)
    | ~ member(X1,esk42_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SET714+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.05/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32  % Computer : n005.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sat Aug 26 15:13:53 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.16/0.55  start to proof: theBenchmark
% 9.72/9.88  % Version  : CSE_E---1.5
% 9.72/9.88  % Problem  : theBenchmark.p
% 9.72/9.88  % Proof found
% 9.72/9.88  % SZS status Theorem for theBenchmark.p
% 9.72/9.88  % SZS output start Proof
% See solution above
% 9.76/9.88  % Total time : 9.259000 s
% 9.76/9.88  % SZS output end Proof
% 9.76/9.88  % Total time : 9.262000 s
%------------------------------------------------------------------------------