TSTP Solution File: SET730+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET730+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n011.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 00:53:26 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  120 (  14 unt;   0 def)
%            Number of atoms       :  533 (  31 equ)
%            Maximal formula atoms :   55 (   4 avg)
%            Number of connectives :  690 ( 277   ~; 363   |;  37   &)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-4 aty)
%            Number of variables   :  337 (  37 sgn  52   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thII21,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) ) ) )
     => maps(X10,X1,X11) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII21) ).

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

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

fof(c_0_4,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) ) ) )
       => maps(X10,X1,X11) ),
    inference(assume_negation,[status(cth)],[thII21]) ).

fof(c_0_5,plain,
    ! [X7,X8,X9,X7,X8,X9,X11] :
      ( ( member(esk11_3(X7,X8,X9),X8)
        | ~ member(X9,image2(X7,X8)) )
      & ( apply(X7,esk11_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_6,plain,
    ! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
      ( ( member(esk6_4(X9,X10,X11,X12),X11)
        | ~ member(X12,X10)
        | ~ maps(X9,X10,X11) )
      & ( apply(X9,X12,esk6_4(X9,X10,X11,X12))
        | ~ member(X12,X10)
        | ~ maps(X9,X10,X11) )
      & ( ~ member(X14,X10)
        | ~ member(X15,X11)
        | ~ member(X16,X11)
        | ~ apply(X9,X14,X15)
        | ~ apply(X9,X14,X16)
        | X15 = X16
        | ~ maps(X9,X10,X11) )
      & ( member(esk8_3(X9,X10,X11),X10)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk9_3(X9,X10,X11),X11)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk10_3(X9,X10,X11),X11)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk8_3(X9,X10,X11),X10)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( member(esk9_3(X9,X10,X11),X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( member(esk10_3(X9,X10,X11),X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) ) ),
    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)],[maps])])])])])])]) ).

fof(c_0_7,plain,
    ! [X4,X5,X6,X4,X5] :
      ( ( ~ subset(X4,X5)
        | ~ member(X6,X4)
        | member(X6,X5) )
      & ( member(esk12_2(X4,X5),X4)
        | subset(X4,X5) )
      & ( ~ member(esk12_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])])])])])])]) ).

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) )
      & ~ maps(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_4])])])])])])]) ).

cnf(c_0_9,plain,
    ( member(X1,image2(X2,X3))
    | ~ apply(X2,X4,X1)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ( apply(X1,X4,esk6_4(X1,X2,X3,X4))
    | ~ maps(X1,X2,X3)
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    subset(esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( member(esk6_4(X1,X2,X3,X4),image2(X1,X5))
    | ~ maps(X1,X2,X3)
    | ~ member(X4,X5)
    | ~ member(X4,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    image2(esk1_0,esk3_0) = esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,plain,
    ( X4 = X5
    | ~ maps(X1,X2,X3)
    | ~ apply(X1,X6,X5)
    | ~ apply(X1,X6,X4)
    | ~ member(X5,X3)
    | ~ member(X4,X3)
    | ~ member(X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( member(esk6_4(esk1_0,X1,X2,X3),esk5_0)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(X3,esk3_0)
    | ~ member(X3,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ( maps(X1,X2,X3)
    | member(esk7_3(X1,X2,X3),X2)
    | apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,plain,
    ( maps(X1,X2,X3)
    | member(esk7_3(X1,X2,X3),X2)
    | apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,plain,
    ( X1 = esk6_4(X2,X3,X4,X5)
    | ~ apply(X2,X5,X1)
    | ~ maps(X2,X6,X7)
    | ~ maps(X2,X3,X4)
    | ~ member(esk6_4(X2,X3,X4,X5),X7)
    | ~ member(X5,X6)
    | ~ member(X1,X7)
    | ~ member(X5,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    ( member(esk6_4(esk1_0,X1,X2,X3),esk4_0)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(X3,esk3_0)
    | ~ member(X3,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    ( maps(X1,X2,X3)
    | member(esk10_3(X1,X2,X3),image2(X1,X4))
    | member(esk7_3(X1,X2,X3),X2)
    | ~ member(esk8_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_9,c_0_18]) ).

cnf(c_0_23,plain,
    ( maps(X1,X2,X3)
    | member(esk9_3(X1,X2,X3),image2(X1,X4))
    | member(esk7_3(X1,X2,X3),X2)
    | ~ member(esk8_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_9,c_0_19]) ).

cnf(c_0_24,negated_conjecture,
    ( X1 = esk6_4(esk1_0,X2,X3,X4)
    | ~ apply(esk1_0,X4,X1)
    | ~ maps(esk1_0,X5,esk4_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(X1,esk4_0)
    | ~ member(X4,esk3_0)
    | ~ member(X4,X5)
    | ~ member(X4,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    maps(esk1_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_26,negated_conjecture,
    ( maps(esk1_0,X1,X2)
    | member(esk10_3(esk1_0,X1,X2),esk5_0)
    | member(esk7_3(esk1_0,X1,X2),X1)
    | ~ member(esk8_3(esk1_0,X1,X2),esk3_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_14]) ).

cnf(c_0_27,negated_conjecture,
    ( maps(esk1_0,X1,X2)
    | member(esk9_3(esk1_0,X1,X2),esk5_0)
    | member(esk7_3(esk1_0,X1,X2),X1)
    | ~ member(esk8_3(esk1_0,X1,X2),esk3_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_14]) ).

cnf(c_0_28,negated_conjecture,
    ( X1 = esk6_4(esk1_0,X2,X3,X4)
    | ~ apply(esk1_0,X4,X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(X1,esk4_0)
    | ~ member(X4,esk3_0)
    | ~ member(X4,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( maps(esk1_0,X1,X2)
    | member(esk10_3(esk1_0,X1,X2),esk4_0)
    | member(esk7_3(esk1_0,X1,X2),X1)
    | ~ member(esk8_3(esk1_0,X1,X2),esk3_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ( maps(esk1_0,X1,X2)
    | member(esk9_3(esk1_0,X1,X2),esk4_0)
    | member(esk7_3(esk1_0,X1,X2),X1)
    | ~ member(esk8_3(esk1_0,X1,X2),esk3_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( esk6_4(esk1_0,X1,X2,esk8_3(esk1_0,X3,X4)) = esk10_3(esk1_0,X3,X4)
    | maps(esk1_0,X3,X4)
    | member(esk7_3(esk1_0,X3,X4),X3)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk1_0,X3,X4),esk3_0)
    | ~ member(esk8_3(esk1_0,X3,X4),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( esk6_4(esk1_0,X1,X2,esk8_3(esk1_0,X3,X4)) = esk9_3(esk1_0,X3,X4)
    | maps(esk1_0,X3,X4)
    | member(esk7_3(esk1_0,X3,X4),X3)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk1_0,X3,X4),esk3_0)
    | ~ member(esk8_3(esk1_0,X3,X4),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_30]) ).

cnf(c_0_33,plain,
    ( maps(X1,X2,X3)
    | member(esk7_3(X1,X2,X3),X2)
    | esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_34,negated_conjecture,
    ( maps(esk1_0,X1,X2)
    | member(esk7_3(esk1_0,X1,X2),X1)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk8_3(esk1_0,X1,X2),esk3_0)
    | ~ member(esk8_3(esk1_0,X1,X2),X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_35,plain,
    ( maps(X1,X2,X3)
    | member(esk7_3(X1,X2,X3),X2)
    | member(esk8_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_36,plain,
    ( maps(X1,X2,X3)
    | apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
    | ~ apply(X1,esk7_3(X1,X2,X3),X4)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_37,negated_conjecture,
    ( maps(esk1_0,esk3_0,X1)
    | member(esk7_3(esk1_0,esk3_0,X1),esk3_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk8_3(esk1_0,esk3_0,X1),X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    ( maps(X1,X2,X3)
    | ~ apply(X1,esk7_3(X1,X2,X3),X4)
    | ~ member(X4,X3)
    | esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_39,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_40,plain,
    ( apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
    | maps(X1,X2,X3)
    | ~ maps(X1,X4,X5)
    | ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
    | ~ member(esk7_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_10]) ).

cnf(c_0_41,negated_conjecture,
    ( maps(esk1_0,esk3_0,X1)
    | member(esk7_3(esk1_0,esk3_0,X1),esk3_0)
    | ~ maps(esk1_0,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_35]) ).

cnf(c_0_42,plain,
    ( maps(X1,X2,X3)
    | apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
    | ~ apply(X1,esk7_3(X1,X2,X3),X4)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_43,plain,
    ( maps(X1,X2,X3)
    | esk10_3(X1,X2,X3) != esk9_3(X1,X2,X3)
    | ~ maps(X1,X4,X5)
    | ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
    | ~ member(esk7_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_38,c_0_10]) ).

cnf(c_0_44,negated_conjecture,
    ( X1 = esk6_4(esk1_0,X2,X3,X4)
    | ~ apply(esk2_0,X4,X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(X4,esk3_0)
    | ~ member(X1,esk5_0)
    | ~ member(X4,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_39]),c_0_16]) ).

cnf(c_0_45,negated_conjecture,
    ( apply(esk1_0,esk8_3(esk1_0,X1,esk5_0),esk9_3(esk1_0,X1,esk5_0))
    | maps(esk1_0,X1,esk5_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_17]) ).

cnf(c_0_46,negated_conjecture,
    ( maps(esk1_0,esk3_0,X1)
    | member(esk7_3(esk1_0,esk3_0,X1),esk3_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_25]) ).

cnf(c_0_47,plain,
    ( apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
    | maps(X1,X2,X3)
    | ~ maps(X1,X4,X5)
    | ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
    | ~ member(esk7_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_42,c_0_10]) ).

cnf(c_0_48,plain,
    ( maps(X1,X2,image2(X1,X3))
    | esk10_3(X1,X2,image2(X1,X3)) != esk9_3(X1,X2,image2(X1,X3))
    | ~ maps(X1,X4,X5)
    | ~ member(esk7_3(X1,X2,image2(X1,X3)),X4)
    | ~ member(esk7_3(X1,X2,image2(X1,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_13]) ).

cnf(c_0_49,plain,
    ( maps(X1,X2,X3)
    | member(esk8_3(X1,X2,X3),X2)
    | ~ apply(X1,esk7_3(X1,X2,X3),X4)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_50,plain,
    ( maps(X1,X2,X3)
    | member(esk10_3(X1,X2,X3),X3)
    | ~ apply(X1,esk7_3(X1,X2,X3),X4)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_51,plain,
    ( maps(X1,X2,X3)
    | member(esk9_3(X1,X2,X3),X3)
    | ~ apply(X1,esk7_3(X1,X2,X3),X4)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_52,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_53,negated_conjecture,
    ( esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,X3,X4)) = esk10_3(esk2_0,X3,X4)
    | maps(esk2_0,X3,X4)
    | member(esk7_3(esk2_0,X3,X4),X3)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk2_0,X3,X4),esk3_0)
    | ~ member(esk10_3(esk2_0,X3,X4),esk5_0)
    | ~ member(esk8_3(esk2_0,X3,X4),X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_18]) ).

cnf(c_0_54,negated_conjecture,
    ( esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,X3,X4)) = esk9_3(esk2_0,X3,X4)
    | maps(esk2_0,X3,X4)
    | member(esk7_3(esk2_0,X3,X4),X3)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk2_0,X3,X4),esk3_0)
    | ~ member(esk9_3(esk2_0,X3,X4),esk5_0)
    | ~ member(esk8_3(esk2_0,X3,X4),X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_19]) ).

cnf(c_0_55,negated_conjecture,
    ( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk9_3(esk1_0,esk3_0,esk5_0))
    | maps(esk1_0,esk3_0,esk5_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_46]) ).

cnf(c_0_56,negated_conjecture,
    ( apply(esk1_0,esk8_3(esk1_0,X1,esk5_0),esk10_3(esk1_0,X1,esk5_0))
    | maps(esk1_0,X1,esk5_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_17]) ).

cnf(c_0_57,negated_conjecture,
    ( maps(esk1_0,esk3_0,image2(esk1_0,X1))
    | esk10_3(esk1_0,esk3_0,image2(esk1_0,X1)) != esk9_3(esk1_0,esk3_0,image2(esk1_0,X1))
    | ~ maps(esk1_0,esk3_0,X2)
    | ~ member(esk7_3(esk1_0,esk3_0,image2(esk1_0,X1)),X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_46]) ).

cnf(c_0_58,plain,
    ( maps(X1,X2,X3)
    | member(esk8_3(X1,X2,X3),X2)
    | ~ maps(X1,X4,X5)
    | ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
    | ~ member(esk7_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_10]) ).

cnf(c_0_59,plain,
    ( maps(X1,X2,X3)
    | member(esk10_3(X1,X2,X3),X3)
    | ~ maps(X1,X4,X5)
    | ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
    | ~ member(esk7_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_50,c_0_10]) ).

cnf(c_0_60,plain,
    ( maps(X1,X2,X3)
    | member(esk9_3(X1,X2,X3),X3)
    | ~ maps(X1,X4,X5)
    | ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
    | ~ member(esk7_3(X1,X2,X3),X4) ),
    inference(spm,[status(thm)],[c_0_51,c_0_10]) ).

cnf(c_0_61,negated_conjecture,
    ( apply(esk2_0,X1,esk6_4(esk1_0,X2,X3,X1))
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk6_4(esk1_0,X2,X3,X1),esk5_0)
    | ~ member(X1,esk3_0)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_10]) ).

cnf(c_0_62,negated_conjecture,
    ( esk6_4(esk1_0,X1,X2,X3) = esk6_4(esk1_0,X4,X5,X3)
    | ~ maps(esk1_0,X4,X5)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(X3,esk3_0)
    | ~ member(X3,X4)
    | ~ member(X3,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_10]),c_0_21]) ).

cnf(c_0_63,negated_conjecture,
    ( maps(esk2_0,X1,X2)
    | member(esk7_3(esk2_0,X1,X2),X1)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk8_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk10_3(esk2_0,X1,X2),esk5_0)
    | ~ member(esk9_3(esk2_0,X1,X2),esk5_0)
    | ~ member(esk8_3(esk2_0,X1,X2),X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_33]) ).

cnf(c_0_64,plain,
    ( maps(X1,X2,X3)
    | member(esk7_3(X1,X2,X3),X2)
    | member(esk10_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_65,plain,
    ( maps(X1,X2,X3)
    | member(esk7_3(X1,X2,X3),X2)
    | member(esk9_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_66,negated_conjecture,
    ( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk9_3(esk1_0,esk3_0,esk5_0))
    | maps(esk1_0,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_25]) ).

cnf(c_0_67,negated_conjecture,
    ( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk10_3(esk1_0,esk3_0,esk5_0))
    | maps(esk1_0,esk3_0,esk5_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_46]),c_0_46]) ).

cnf(c_0_68,negated_conjecture,
    ( maps(esk1_0,esk3_0,image2(esk1_0,X1))
    | esk10_3(esk1_0,esk3_0,image2(esk1_0,X1)) != esk9_3(esk1_0,esk3_0,image2(esk1_0,X1))
    | ~ member(esk7_3(esk1_0,esk3_0,image2(esk1_0,X1)),X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_25]) ).

cnf(c_0_69,negated_conjecture,
    ( maps(esk1_0,X1,esk5_0)
    | member(esk8_3(esk1_0,X1,esk5_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_17]) ).

cnf(c_0_70,negated_conjecture,
    ( maps(esk1_0,X1,esk5_0)
    | member(esk10_3(esk1_0,X1,esk5_0),esk5_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_17]) ).

cnf(c_0_71,negated_conjecture,
    ( maps(esk1_0,X1,esk5_0)
    | member(esk9_3(esk1_0,X1,esk5_0),esk5_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_17]) ).

cnf(c_0_72,negated_conjecture,
    ( apply(esk2_0,X1,esk6_4(esk1_0,X2,X3,X1))
    | ~ maps(esk1_0,X4,X5)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(X1,esk3_0)
    | ~ member(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_61]),c_0_17]) ).

cnf(c_0_73,negated_conjecture,
    ( maps(esk2_0,X1,esk5_0)
    | member(esk7_3(esk2_0,X1,esk5_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk8_3(esk2_0,X1,esk5_0),esk3_0)
    | ~ member(esk8_3(esk2_0,X1,esk5_0),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    ~ maps(esk2_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_75,negated_conjecture,
    ( X1 = esk9_3(esk1_0,esk3_0,esk5_0)
    | maps(esk1_0,esk3_0,esk5_0)
    | ~ apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk8_3(esk1_0,esk3_0,esk5_0),X2)
    | ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X3)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_66]) ).

cnf(c_0_76,negated_conjecture,
    ( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk10_3(esk1_0,esk3_0,esk5_0))
    | maps(esk1_0,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_25]) ).

cnf(c_0_77,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | esk10_3(esk1_0,esk3_0,esk5_0) != esk9_3(esk1_0,esk3_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_14]),c_0_33]) ).

cnf(c_0_78,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk8_3(esk1_0,esk3_0,esk5_0),esk3_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_46]),c_0_46]) ).

cnf(c_0_79,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk10_3(esk1_0,esk3_0,esk5_0),esk5_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_46]),c_0_46]) ).

cnf(c_0_80,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk9_3(esk1_0,esk3_0,esk5_0),esk5_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_46]),c_0_46]) ).

cnf(c_0_81,negated_conjecture,
    ( apply(esk2_0,X1,esk6_4(esk1_0,X2,X3,X1))
    | ~ maps(esk1_0,X2,X3)
    | ~ member(X1,esk3_0)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_25]) ).

cnf(c_0_82,negated_conjecture,
    ( member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_35]),c_0_74]) ).

cnf(c_0_83,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk1_0,esk3_0,esk5_0),X1)
    | ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X2)
    | ~ member(esk10_3(esk1_0,esk3_0,esk5_0),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk8_3(esk1_0,esk3_0,esk5_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_78,c_0_25]) ).

cnf(c_0_85,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk10_3(esk1_0,esk3_0,esk5_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_25]) ).

cnf(c_0_86,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk9_3(esk1_0,esk3_0,esk5_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_25]) ).

cnf(c_0_87,negated_conjecture,
    ( maps(esk2_0,X1,X2)
    | member(esk8_3(esk2_0,X1,X2),X1)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    ( member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_35]),c_0_74]) ).

cnf(c_0_89,negated_conjecture,
    ( maps(esk2_0,X1,X2)
    | member(esk9_3(esk2_0,X1,X2),X2)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_51,c_0_81]) ).

cnf(c_0_90,negated_conjecture,
    ( maps(esk2_0,X1,X2)
    | member(esk10_3(esk2_0,X1,X2),X2)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_50,c_0_81]) ).

cnf(c_0_91,negated_conjecture,
    ( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2))
    | maps(esk2_0,X1,X2)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_81]) ).

cnf(c_0_92,plain,
    ( member(esk6_4(X1,X2,X3,X4),X3)
    | ~ maps(X1,X2,X3)
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_93,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | ~ maps(esk1_0,esk3_0,X1)
    | ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X1)
    | ~ member(esk10_3(esk1_0,esk3_0,esk5_0),X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_94,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk10_3(esk1_0,esk3_0,esk5_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_85]) ).

cnf(c_0_95,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk5_0)
    | member(esk9_3(esk1_0,esk3_0,esk5_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_86]) ).

cnf(c_0_96,negated_conjecture,
    ( maps(esk2_0,X1,esk5_0)
    | member(esk8_3(esk2_0,X1,esk5_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_87,c_0_17]) ).

cnf(c_0_97,negated_conjecture,
    member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0),
    inference(spm,[status(thm)],[c_0_88,c_0_25]) ).

cnf(c_0_98,negated_conjecture,
    ( maps(esk2_0,X1,esk5_0)
    | member(esk9_3(esk2_0,X1,esk5_0),esk5_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_17]) ).

cnf(c_0_99,negated_conjecture,
    ( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2))
    | maps(esk2_0,X1,X2)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_42,c_0_81]) ).

cnf(c_0_100,negated_conjecture,
    ( maps(esk2_0,X1,esk5_0)
    | member(esk10_3(esk2_0,X1,esk5_0),esk5_0)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,esk5_0),X2) ),
    inference(spm,[status(thm)],[c_0_90,c_0_17]) ).

cnf(c_0_101,negated_conjecture,
    ( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2))
    | maps(esk2_0,X1,X2)
    | ~ maps(esk1_0,X3,X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_102,negated_conjecture,
    maps(esk1_0,esk3_0,esk5_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_25])]),c_0_95]) ).

cnf(c_0_103,negated_conjecture,
    ( member(esk8_3(esk2_0,esk3_0,esk5_0),esk3_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_97])]),c_0_74]) ).

cnf(c_0_104,negated_conjecture,
    ( member(esk9_3(esk2_0,esk3_0,esk5_0),esk5_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_97]),c_0_97])]),c_0_74]) ).

cnf(c_0_105,negated_conjecture,
    ( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2))
    | maps(esk2_0,X1,X2)
    | ~ maps(esk1_0,X3,X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_99,c_0_92]) ).

cnf(c_0_106,negated_conjecture,
    ( member(esk10_3(esk2_0,esk3_0,esk5_0),esk5_0)
    | ~ maps(esk1_0,esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_97]),c_0_97])]),c_0_74]) ).

cnf(c_0_107,negated_conjecture,
    ( maps(esk2_0,X1,X2)
    | esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
    | ~ maps(esk1_0,X3,X4)
    | ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_81]) ).

cnf(c_0_108,negated_conjecture,
    apply(esk2_0,esk8_3(esk2_0,esk3_0,esk5_0),esk9_3(esk2_0,esk3_0,esk5_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_97]),c_0_102]),c_0_97])]),c_0_74]) ).

cnf(c_0_109,negated_conjecture,
    member(esk8_3(esk2_0,esk3_0,esk5_0),esk3_0),
    inference(spm,[status(thm)],[c_0_103,c_0_25]) ).

cnf(c_0_110,negated_conjecture,
    member(esk9_3(esk2_0,esk3_0,esk5_0),esk5_0),
    inference(spm,[status(thm)],[c_0_104,c_0_25]) ).

cnf(c_0_111,negated_conjecture,
    apply(esk2_0,esk8_3(esk2_0,esk3_0,esk5_0),esk10_3(esk2_0,esk3_0,esk5_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_97]),c_0_102]),c_0_97])]),c_0_74]) ).

cnf(c_0_112,negated_conjecture,
    member(esk10_3(esk2_0,esk3_0,esk5_0),esk5_0),
    inference(spm,[status(thm)],[c_0_106,c_0_25]) ).

cnf(c_0_113,negated_conjecture,
    ( maps(esk2_0,X1,X2)
    | esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
    | ~ maps(esk1_0,X3,X2)
    | ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
    | ~ member(esk7_3(esk2_0,X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_107,c_0_92]) ).

cnf(c_0_114,negated_conjecture,
    ( esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,esk5_0)) = esk9_3(esk2_0,esk3_0,esk5_0)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_108]),c_0_109]),c_0_110])]) ).

cnf(c_0_115,negated_conjecture,
    ( esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,esk5_0)) = esk10_3(esk2_0,esk3_0,esk5_0)
    | ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_111]),c_0_109]),c_0_112])]) ).

cnf(c_0_116,negated_conjecture,
    esk10_3(esk2_0,esk3_0,esk5_0) != esk9_3(esk2_0,esk3_0,esk5_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_97]),c_0_102]),c_0_97])]),c_0_74]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ maps(esk1_0,X1,X2)
    | ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).

cnf(c_0_118,negated_conjecture,
    ~ maps(esk1_0,esk3_0,X1),
    inference(spm,[status(thm)],[c_0_117,c_0_109]) ).

cnf(c_0_119,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_25,c_0_118]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET730+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 23:09:27 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.017 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 120
% 0.23/1.41  # Proof object clause steps            : 111
% 0.23/1.41  # Proof object formula steps           : 9
% 0.23/1.41  # Proof object conjectures             : 86
% 0.23/1.41  # Proof object clause conjectures      : 83
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 23
% 0.23/1.41  # Proof object initial formulas used   : 4
% 0.23/1.41  # Proof object generating inferences   : 87
% 0.23/1.41  # Proof object simplifying inferences  : 50
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 29
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 25
% 0.23/1.41  # Initial clauses                      : 27
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 27
% 0.23/1.41  # Processed clauses                    : 2484
% 0.23/1.41  # ...of these trivial                  : 3
% 0.23/1.41  # ...subsumed                          : 876
% 0.23/1.41  # ...remaining for further processing  : 1605
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 135
% 0.23/1.41  # Backward-rewritten                   : 77
% 0.23/1.41  # Generated clauses                    : 8007
% 0.23/1.41  # ...of the previous two non-trivial   : 7759
% 0.23/1.41  # Contextual simplify-reflections      : 2683
% 0.23/1.41  # Paramodulations                      : 8003
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 1389
% 0.23/1.41  #    Positive orientable unit clauses  : 21
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 3
% 0.23/1.41  #    Non-unit-clauses                  : 1365
% 0.23/1.41  # Current number of unprocessed clauses: 4685
% 0.23/1.41  # ...number of literals in the above   : 36856
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 216
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 559330
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 35949
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 3689
% 0.23/1.41  # Unit Clause-clause subsumption calls : 1930
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 46
% 0.23/1.41  # BW rewrite match successes           : 7
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 382779
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.935 s
% 0.23/1.41  # System time              : 0.008 s
% 0.23/1.41  # Total time               : 0.943 s
% 0.23/1.41  # Maximum resident set size: 13076 pages
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------