TSTP Solution File: SET732+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET732+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 : Tue Jul 19 00:53:27 EDT 2022

% Result   : Theorem 0.42s 23.58s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   65 (   9 unt;   0 def)
%            Number of atoms       :  261 (  17 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  329 ( 133   ~; 144   |;  37   &)
%                                         (   7 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-4 aty)
%            Number of variables   :  173 (  14 sgn  70   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thII23,conjecture,
    ! [X6,X10,X1,X2,X11] :
      ( ( maps(X6,X1,X2)
        & subset(X11,X2)
        & image2(X6,X1) = X11
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X11) )
           => ( apply(X10,X3,X5)
            <=> apply(X6,X3,X5) ) )
        & injective(X6,X1,X2) )
     => one_to_one(X10,X1,X11) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thII23) ).

fof(injective,axiom,
    ! [X6,X1,X2] :
      ( injective(X6,X1,X2)
    <=> ! [X13,X14,X5] :
          ( ( member(X13,X1)
            & member(X14,X1)
            & member(X5,X2) )
         => ( ( apply(X6,X13,X5)
              & apply(X6,X14,X5) )
           => X13 = X14 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).

fof(image2,axiom,
    ! [X6,X1,X5] :
      ( member(X5,image2(X6,X1))
    <=> ? [X3] :
          ( member(X3,X1)
          & apply(X6,X3,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image2) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

fof(surjective,axiom,
    ! [X6,X1,X2] :
      ( surjective(X6,X1,X2)
    <=> ! [X5] :
          ( member(X5,X2)
         => ? [X4] :
              ( member(X4,X1)
              & apply(X6,X4,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',surjective) ).

fof(one_to_one,axiom,
    ! [X6,X1,X2] :
      ( one_to_one(X6,X1,X2)
    <=> ( injective(X6,X1,X2)
        & surjective(X6,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',one_to_one) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X6,X10,X1,X2,X11] :
        ( ( maps(X6,X1,X2)
          & subset(X11,X2)
          & image2(X6,X1) = X11
          & ! [X3,X5] :
              ( ( member(X3,X1)
                & member(X5,X11) )
             => ( apply(X10,X3,X5)
              <=> apply(X6,X3,X5) ) )
          & injective(X6,X1,X2) )
       => one_to_one(X10,X1,X11) ),
    inference(assume_negation,[status(cth)],[thII23]) ).

fof(c_0_7,plain,
    ! [X15,X16,X17,X18,X19,X20,X15,X16,X17] :
      ( ( ~ injective(X15,X16,X17)
        | ~ member(X18,X16)
        | ~ member(X19,X16)
        | ~ member(X20,X17)
        | ~ apply(X15,X18,X20)
        | ~ apply(X15,X19,X20)
        | X18 = X19 )
      & ( member(esk6_3(X15,X16,X17),X16)
        | injective(X15,X16,X17) )
      & ( member(esk7_3(X15,X16,X17),X16)
        | injective(X15,X16,X17) )
      & ( member(esk8_3(X15,X16,X17),X17)
        | injective(X15,X16,X17) )
      & ( apply(X15,esk6_3(X15,X16,X17),esk8_3(X15,X16,X17))
        | injective(X15,X16,X17) )
      & ( apply(X15,esk7_3(X15,X16,X17),esk8_3(X15,X16,X17))
        | injective(X15,X16,X17) )
      & ( esk6_3(X15,X16,X17) != esk7_3(X15,X16,X17)
        | injective(X15,X16,X17) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[injective])])])])])])]) ).

fof(c_0_8,negated_conjecture,
    ! [X17,X18] :
      ( maps(esk1_0,esk3_0,esk4_0)
      & subset(esk5_0,esk4_0)
      & image2(esk1_0,esk3_0) = esk5_0
      & ( ~ apply(esk2_0,X17,X18)
        | apply(esk1_0,X17,X18)
        | ~ member(X17,esk3_0)
        | ~ member(X18,esk5_0) )
      & ( ~ apply(esk1_0,X17,X18)
        | apply(esk2_0,X17,X18)
        | ~ member(X17,esk3_0)
        | ~ member(X18,esk5_0) )
      & injective(esk1_0,esk3_0,esk4_0)
      & ~ one_to_one(esk2_0,esk3_0,esk5_0) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])]) ).

cnf(c_0_9,plain,
    ( X1 = X2
    | ~ apply(X3,X2,X4)
    | ~ apply(X3,X1,X4)
    | ~ member(X4,X5)
    | ~ member(X2,X6)
    | ~ member(X1,X6)
    | ~ injective(X3,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    injective(esk1_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X7,X8,X9,X7,X8,X9,X11] :
      ( ( member(esk9_3(X7,X8,X9),X8)
        | ~ member(X9,image2(X7,X8)) )
      & ( apply(X7,esk9_3(X7,X8,X9),X9)
        | ~ member(X9,image2(X7,X8)) )
      & ( ~ member(X11,X8)
        | ~ apply(X7,X11,X9)
        | member(X9,image2(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[image2])])])])])])]) ).

fof(c_0_12,plain,
    ! [X4,X5,X6,X4,X5] :
      ( ( ~ subset(X4,X5)
        | ~ member(X6,X4)
        | member(X6,X5) )
      & ( member(esk10_2(X4,X5),X4)
        | subset(X4,X5) )
      & ( ~ member(esk10_2(X4,X5),X5)
        | subset(X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( X1 = X2
    | ~ apply(esk1_0,X2,X3)
    | ~ apply(esk1_0,X1,X3)
    | ~ member(X3,esk4_0)
    | ~ member(X2,esk3_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( apply(X2,esk9_3(X2,X3,X1),X1)
    | ~ member(X1,image2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    subset(esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( injective(X1,X2,X3)
    | apply(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,negated_conjecture,
    ( X1 = esk9_3(esk1_0,X2,X3)
    | ~ apply(esk1_0,X1,X3)
    | ~ member(esk9_3(esk1_0,X2,X3),esk3_0)
    | ~ member(X3,image2(esk1_0,X2))
    | ~ member(X3,esk4_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ( member(esk9_3(X2,X3,X1),X3)
    | ~ member(X1,image2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    image2(esk1_0,esk3_0) = esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( apply(esk1_0,X2,X1)
    | ~ member(X1,esk5_0)
    | ~ member(X2,esk3_0)
    | ~ apply(esk2_0,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_23,negated_conjecture,
    ( X1 = esk7_3(esk1_0,X2,X3)
    | injective(esk1_0,X2,X3)
    | ~ apply(esk1_0,X1,esk8_3(esk1_0,X2,X3))
    | ~ member(esk8_3(esk1_0,X2,X3),esk4_0)
    | ~ member(esk7_3(esk1_0,X2,X3),esk3_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_17]) ).

cnf(c_0_24,plain,
    ( injective(X1,X2,X3)
    | apply(X1,esk6_3(X1,X2,X3),esk8_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_25,plain,
    ( injective(X1,X2,X3)
    | esk6_3(X1,X2,X3) != esk7_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26,negated_conjecture,
    ( X1 = esk9_3(esk1_0,esk3_0,X2)
    | ~ apply(esk1_0,X1,X2)
    | ~ member(X2,esk5_0)
    | ~ member(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    ( apply(esk1_0,esk9_3(esk2_0,X1,X2),X2)
    | ~ member(esk9_3(esk2_0,X1,X2),esk3_0)
    | ~ member(X2,image2(esk2_0,X1))
    | ~ member(X2,esk5_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_14]) ).

cnf(c_0_28,negated_conjecture,
    ( injective(esk1_0,X1,X2)
    | ~ member(esk8_3(esk1_0,X1,X2),esk4_0)
    | ~ member(esk7_3(esk1_0,X1,X2),esk3_0)
    | ~ member(esk6_3(esk1_0,X1,X2),esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( esk9_3(esk2_0,X1,X2) = esk9_3(esk1_0,esk3_0,X2)
    | ~ member(esk9_3(esk2_0,X1,X2),esk3_0)
    | ~ member(X2,image2(esk2_0,X1))
    | ~ member(X2,esk5_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    ( member(X1,image2(X2,X3))
    | ~ apply(X2,X4,X1)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_31,negated_conjecture,
    ( apply(esk2_0,X2,X1)
    | ~ member(X1,esk5_0)
    | ~ member(X2,esk3_0)
    | ~ apply(esk1_0,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_32,negated_conjecture,
    ( injective(esk1_0,X1,X2)
    | ~ member(esk7_3(esk1_0,X1,X2),esk3_0)
    | ~ member(esk6_3(esk1_0,X1,X2),esk3_0)
    | ~ member(esk8_3(esk1_0,X1,X2),esk5_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_21]) ).

cnf(c_0_33,plain,
    ( injective(X1,X2,X3)
    | member(esk8_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_34,plain,
    ! [X7,X8,X9,X10,X7,X8,X9,X13] :
      ( ( member(esk16_4(X7,X8,X9,X10),X8)
        | ~ member(X10,X9)
        | ~ surjective(X7,X8,X9) )
      & ( apply(X7,esk16_4(X7,X8,X9,X10),X10)
        | ~ member(X10,X9)
        | ~ surjective(X7,X8,X9) )
      & ( member(esk17_3(X7,X8,X9),X9)
        | surjective(X7,X8,X9) )
      & ( ~ member(X13,X8)
        | ~ apply(X7,X13,esk17_3(X7,X8,X9))
        | surjective(X7,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[surjective])])])])])])]) ).

cnf(c_0_35,negated_conjecture,
    ( esk9_3(esk2_0,esk3_0,X1) = esk9_3(esk1_0,esk3_0,X1)
    | ~ member(X1,image2(esk2_0,esk3_0))
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_19]) ).

cnf(c_0_36,negated_conjecture,
    ( member(X1,image2(esk2_0,X2))
    | ~ apply(esk1_0,X3,X1)
    | ~ member(X3,esk3_0)
    | ~ member(X1,esk5_0)
    | ~ member(X3,X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ( injective(esk1_0,X1,esk5_0)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
    | ~ member(esk6_3(esk1_0,X1,esk5_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,plain,
    ( injective(X1,X2,X3)
    | member(esk7_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39,plain,
    ( injective(X1,X2,X3)
    | member(esk6_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_40,plain,
    ( surjective(X1,X2,X3)
    | ~ apply(X1,X4,esk17_3(X1,X2,X3))
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( apply(esk2_0,esk9_3(esk1_0,esk3_0,X1),X1)
    | ~ member(X1,image2(esk2_0,esk3_0))
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    ( member(X1,image2(esk2_0,X2))
    | ~ member(esk9_3(esk1_0,X3,X1),esk3_0)
    | ~ member(esk9_3(esk1_0,X3,X1),X2)
    | ~ member(X1,image2(esk1_0,X3))
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_14]) ).

cnf(c_0_43,negated_conjecture,
    injective(esk1_0,esk3_0,esk5_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( surjective(esk2_0,X1,X2)
    | ~ member(esk9_3(esk1_0,esk3_0,esk17_3(esk2_0,X1,X2)),X1)
    | ~ member(esk17_3(esk2_0,X1,X2),image2(esk2_0,esk3_0))
    | ~ member(esk17_3(esk2_0,X1,X2),esk5_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    ( member(esk9_3(esk1_0,esk3_0,X1),esk3_0)
    | ~ member(X1,image2(esk2_0,esk3_0))
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_35]) ).

cnf(c_0_46,negated_conjecture,
    ( member(X1,image2(esk2_0,X2))
    | ~ member(esk9_3(esk1_0,esk3_0,X1),X2)
    | ~ member(X1,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_19]),c_0_20])]) ).

cnf(c_0_47,negated_conjecture,
    ( X1 = X2
    | ~ apply(esk1_0,X2,X3)
    | ~ apply(esk1_0,X1,X3)
    | ~ member(X3,esk5_0)
    | ~ member(X2,esk3_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( injective(esk2_0,X1,X2)
    | apply(esk1_0,esk6_3(esk2_0,X1,X2),esk8_3(esk2_0,X1,X2))
    | ~ member(esk6_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk8_3(esk2_0,X1,X2),esk5_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_24]) ).

fof(c_0_49,plain,
    ! [X7,X8,X9,X7,X8,X9] :
      ( ( injective(X7,X8,X9)
        | ~ one_to_one(X7,X8,X9) )
      & ( surjective(X7,X8,X9)
        | ~ one_to_one(X7,X8,X9) )
      & ( ~ injective(X7,X8,X9)
        | ~ surjective(X7,X8,X9)
        | one_to_one(X7,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])])])]) ).

cnf(c_0_50,negated_conjecture,
    ( surjective(esk2_0,esk3_0,X1)
    | ~ member(esk17_3(esk2_0,esk3_0,X1),image2(esk2_0,esk3_0))
    | ~ member(esk17_3(esk2_0,esk3_0,X1),esk5_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ( member(X1,image2(esk2_0,esk3_0))
    | ~ member(X1,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_19]),c_0_20])]) ).

cnf(c_0_52,negated_conjecture,
    ( X1 = esk6_3(esk2_0,X2,X3)
    | injective(esk2_0,X2,X3)
    | ~ apply(esk1_0,X1,esk8_3(esk2_0,X2,X3))
    | ~ member(esk8_3(esk2_0,X2,X3),esk5_0)
    | ~ member(esk6_3(esk2_0,X2,X3),esk3_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    ( injective(esk2_0,X1,X2)
    | apply(esk1_0,esk7_3(esk2_0,X1,X2),esk8_3(esk2_0,X1,X2))
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk8_3(esk2_0,X1,X2),esk5_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_17]) ).

cnf(c_0_54,negated_conjecture,
    ~ one_to_one(esk2_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_55,plain,
    ( one_to_one(X1,X2,X3)
    | ~ surjective(X1,X2,X3)
    | ~ injective(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    ( surjective(esk2_0,esk3_0,X1)
    | ~ member(esk17_3(esk2_0,esk3_0,X1),esk5_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_57,plain,
    ( surjective(X1,X2,X3)
    | member(esk17_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_58,negated_conjecture,
    ( injective(esk2_0,X1,X2)
    | ~ member(esk8_3(esk2_0,X1,X2),esk5_0)
    | ~ member(esk6_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_25]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ surjective(esk2_0,esk3_0,esk5_0)
    | ~ injective(esk2_0,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    surjective(esk2_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( injective(esk2_0,X1,esk5_0)
    | ~ member(esk6_3(esk2_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_33]) ).

cnf(c_0_62,negated_conjecture,
    ~ injective(esk2_0,esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).

cnf(c_0_63,negated_conjecture,
    ~ member(esk6_3(esk2_0,esk3_0,esk5_0),esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_38]),c_0_62]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_39]),c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET732+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.15/0.35  % Computer : n008.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  : 600
% 0.15/0.35  % DateTime : Sun Jul 10 22:40:08 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.42/23.43  eprover: CPU time limit exceeded, terminating
% 0.42/23.43  eprover: CPU time limit exceeded, terminating
% 0.42/23.43  eprover: CPU time limit exceeded, terminating
% 0.42/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/23.58  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.42/23.58  
% 0.42/23.58  # Failure: Resource limit exceeded (time)
% 0.42/23.58  # OLD status Res
% 0.42/23.58  # Preprocessing time       : 0.024 s
% 0.42/23.58  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.42/23.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.42/23.58  # Preprocessing time       : 0.010 s
% 0.42/23.58  
% 0.42/23.58  # Proof found!
% 0.42/23.58  # SZS status Theorem
% 0.42/23.58  # SZS output start CNFRefutation
% See solution above
% 0.42/23.58  # Proof object total steps             : 65
% 0.42/23.58  # Proof object clause steps            : 52
% 0.42/23.58  # Proof object formula steps           : 13
% 0.42/23.58  # Proof object conjectures             : 41
% 0.42/23.58  # Proof object clause conjectures      : 38
% 0.42/23.58  # Proof object formula conjectures     : 3
% 0.42/23.58  # Proof object initial clauses used    : 20
% 0.42/23.58  # Proof object initial formulas used   : 6
% 0.42/23.58  # Proof object generating inferences   : 31
% 0.42/23.58  # Proof object simplifying inferences  : 13
% 0.42/23.58  # Training examples: 0 positive, 0 negative
% 0.42/23.58  # Parsed axioms                        : 29
% 0.42/23.58  # Removed by relevancy pruning/SinE    : 22
% 0.42/23.58  # Initial clauses                      : 42
% 0.42/23.58  # Removed in clause preprocessing      : 0
% 0.42/23.58  # Initial clauses in saturation        : 42
% 0.42/23.58  # Processed clauses                    : 519
% 0.42/23.58  # ...of these trivial                  : 0
% 0.42/23.58  # ...subsumed                          : 232
% 0.42/23.58  # ...remaining for further processing  : 287
% 0.42/23.58  # Other redundant clauses eliminated   : 0
% 0.42/23.58  # Clauses deleted for lack of memory   : 0
% 0.42/23.58  # Backward-subsumed                    : 36
% 0.42/23.58  # Backward-rewritten                   : 1
% 0.42/23.58  # Generated clauses                    : 1452
% 0.42/23.58  # ...of the previous two non-trivial   : 1395
% 0.42/23.58  # Contextual simplify-reflections      : 269
% 0.42/23.58  # Paramodulations                      : 1452
% 0.42/23.58  # Factorizations                       : 0
% 0.42/23.58  # Equation resolutions                 : 0
% 0.42/23.58  # Current number of processed clauses  : 250
% 0.42/23.58  #    Positive orientable unit clauses  : 11
% 0.42/23.58  #    Positive unorientable unit clauses: 0
% 0.42/23.58  #    Negative unit clauses             : 3
% 0.42/23.58  #    Non-unit-clauses                  : 236
% 0.42/23.58  # Current number of unprocessed clauses: 830
% 0.42/23.58  # ...number of literals in the above   : 5453
% 0.42/23.58  # Current number of archived formulas  : 0
% 0.42/23.58  # Current number of archived clauses   : 37
% 0.42/23.58  # Clause-clause subsumption calls (NU) : 41473
% 0.42/23.58  # Rec. Clause-clause subsumption calls : 11008
% 0.42/23.58  # Non-unit clause-clause subsumptions  : 537
% 0.42/23.58  # Unit Clause-clause subsumption calls : 220
% 0.42/23.58  # Rewrite failures with RHS unbound    : 0
% 0.42/23.58  # BW rewrite match attempts            : 10
% 0.42/23.58  # BW rewrite match successes           : 1
% 0.42/23.58  # Condensation attempts                : 0
% 0.42/23.58  # Condensation successes               : 0
% 0.42/23.58  # Termbank termtop insertions          : 47549
% 0.42/23.58  
% 0.42/23.58  # -------------------------------------------------
% 0.42/23.58  # User time                : 0.066 s
% 0.42/23.58  # System time              : 0.003 s
% 0.42/23.58  # Total time               : 0.069 s
% 0.42/23.58  # Maximum resident set size: 4544 pages
%------------------------------------------------------------------------------