TSTP Solution File: SET789+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 00:54:23 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :  351 (  21 equ)
%            Maximal formula atoms :  256 (  13 avg)
%            Number of connectives :  420 (  95   ~; 220   |;  86   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   77 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   69 (   8 sgn  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thIV1,conjecture,
    ! [X1,X2,X6] :
      ( ( order(X1,X2)
        & greatest(X6,X1,X2) )
     => ! [X3] :
          ( greatest(X3,X1,X2)
         => X6 = X3 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thIV1) ).

fof(greatest,axiom,
    ! [X1,X2,X6] :
      ( greatest(X6,X1,X2)
    <=> ( member(X6,X2)
        & ! [X3] :
            ( member(X3,X2)
           => apply(X1,X3,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',greatest) ).

fof(order,axiom,
    ! [X1,X2] :
      ( order(X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X2)
           => apply(X1,X3,X3) )
        & ! [X3,X4] :
            ( ( member(X3,X2)
              & member(X4,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X3) )
             => X3 = X4 ) )
        & ! [X3,X4,X5] :
            ( ( member(X3,X2)
              & member(X4,X2)
              & member(X5,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X5) )
             => apply(X1,X3,X5) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2,X6] :
        ( ( order(X1,X2)
          & greatest(X6,X1,X2) )
       => ! [X3] :
            ( greatest(X3,X1,X2)
           => X6 = X3 ) ),
    inference(assume_negation,[status(cth)],[thIV1]) ).

fof(c_0_4,plain,
    ! [X2,X1] :
      ( epred1_2(X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X2)
           => apply(X1,X3,X3) )
        & ! [X3,X4] :
            ( ( member(X3,X2)
              & member(X4,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X3) )
             => X3 = X4 ) )
        & ! [X3,X4,X5] :
            ( ( member(X3,X2)
              & member(X4,X2)
              & member(X5,X2) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X4,X5) )
             => apply(X1,X3,X5) ) ) ) ),
    introduced(definition) ).

fof(c_0_5,plain,
    ! [X7,X8,X9,X10,X7,X8,X9] :
      ( ( member(X9,X8)
        | ~ greatest(X9,X7,X8) )
      & ( ~ member(X10,X8)
        | apply(X7,X10,X9)
        | ~ greatest(X9,X7,X8) )
      & ( member(esk5_3(X7,X8,X9),X8)
        | ~ member(X9,X8)
        | greatest(X9,X7,X8) )
      & ( ~ apply(X7,esk5_3(X7,X8,X9),X9)
        | ~ member(X9,X8)
        | greatest(X9,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)],[greatest])])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ( order(esk1_0,esk2_0)
    & greatest(esk3_0,esk1_0,esk2_0)
    & greatest(esk4_0,esk1_0,esk2_0)
    & esk3_0 != esk4_0 ),
    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_3])])])])]) ).

fof(c_0_7,plain,
    ! [X6,X7,X8,X9,X10,X11,X12,X13,X6,X7] :
      ( ( ~ member(X8,X6)
        | apply(X7,X8,X8)
        | ~ epred1_2(X7,X6) )
      & ( ~ member(X9,X6)
        | ~ member(X10,X6)
        | ~ apply(X7,X9,X10)
        | ~ apply(X7,X10,X9)
        | X9 = X10
        | ~ epred1_2(X7,X6) )
      & ( ~ member(X11,X6)
        | ~ member(X12,X6)
        | ~ member(X13,X6)
        | ~ apply(X7,X11,X12)
        | ~ apply(X7,X12,X13)
        | apply(X7,X11,X13)
        | ~ epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | member(esk7_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | member(esk7_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | member(esk7_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | member(esk7_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | member(esk7_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | member(esk7_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | member(esk8_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | member(esk8_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | member(esk8_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | member(esk8_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | member(esk8_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | member(esk8_2(X6,X7),X6)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | member(esk6_2(X6,X7),X6)
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | member(esk7_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | member(esk7_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | member(esk7_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | member(esk7_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | member(esk7_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | member(esk7_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | member(esk8_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | member(esk8_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | member(esk8_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | member(esk8_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | member(esk8_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | member(esk8_2(X6,X7),X6)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | apply(X7,esk8_2(X6,X7),esk7_2(X6,X7))
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk9_2(X6,X7),X6)
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk10_2(X6,X7),X6)
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( member(esk11_2(X6,X7),X6)
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( apply(X7,esk10_2(X6,X7),esk11_2(X6,X7))
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) )
      & ( ~ apply(X7,esk9_2(X6,X7),esk11_2(X6,X7))
        | esk7_2(X6,X7) != esk8_2(X6,X7)
        | ~ apply(X7,esk6_2(X6,X7),esk6_2(X6,X7))
        | epred1_2(X7,X6) ) ),
    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_8,plain,
    ( apply(X2,X4,X1)
    | ~ greatest(X1,X2,X3)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    greatest(esk4_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,axiom,
    ! [X1,X2] :
      ( order(X1,X2)
    <=> epred1_2(X1,X2) ),
    inference(apply_def,[status(thm)],[order,c_0_4]) ).

cnf(c_0_11,plain,
    ( X3 = X4
    | ~ epred1_2(X1,X2)
    | ~ apply(X1,X4,X3)
    | ~ apply(X1,X3,X4)
    | ~ member(X4,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( apply(esk1_0,X1,esk4_0)
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    greatest(esk3_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,plain,
    ( member(X1,X3)
    | ~ greatest(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_15,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ order(X3,X4)
        | epred1_2(X3,X4) )
      & ( ~ epred1_2(X3,X4)
        | order(X3,X4) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

cnf(c_0_16,plain,
    ( esk4_0 = X1
    | ~ epred1_2(esk1_0,X2)
    | ~ apply(esk1_0,esk4_0,X1)
    | ~ member(esk4_0,X2)
    | ~ member(X1,esk2_0)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( apply(esk1_0,X1,esk3_0)
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    member(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    member(esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_14,c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    esk3_0 != esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,plain,
    ( epred1_2(X1,X2)
    | ~ order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    order(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ epred1_2(esk1_0,X1)
    | ~ member(esk4_0,X1)
    | ~ member(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    epred1_2(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 04:46:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.017 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 26
% 0.24/1.42  # Proof object clause steps            : 16
% 0.24/1.42  # Proof object formula steps           : 10
% 0.24/1.42  # Proof object conjectures             : 14
% 0.24/1.42  # Proof object clause conjectures      : 11
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 8
% 0.24/1.42  # Proof object initial formulas used   : 3
% 0.24/1.42  # Proof object generating inferences   : 8
% 0.24/1.42  # Proof object simplifying inferences  : 7
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 11
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 8
% 0.24/1.42  # Initial clauses                      : 73
% 0.24/1.42  # Removed in clause preprocessing      : 0
% 0.24/1.42  # Initial clauses in saturation        : 73
% 0.24/1.42  # Processed clauses                    : 83
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 0
% 0.24/1.42  # ...remaining for further processing  : 83
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 58
% 0.24/1.42  # ...of the previous two non-trivial   : 53
% 0.24/1.42  # Contextual simplify-reflections      : 0
% 0.24/1.42  # Paramodulations                      : 58
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 83
% 0.24/1.42  #    Positive orientable unit clauses  : 6
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 1
% 0.24/1.42  #    Non-unit-clauses                  : 76
% 0.24/1.42  # Current number of unprocessed clauses: 43
% 0.24/1.42  # ...number of literals in the above   : 360
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 0
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 423
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 175
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.42  # Unit Clause-clause subsumption calls : 122
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 0
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 5830
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.019 s
% 0.24/1.42  # System time              : 0.005 s
% 0.24/1.42  # Total time               : 0.023 s
% 0.24/1.42  # Maximum resident set size: 3108 pages
%------------------------------------------------------------------------------