TSTP Solution File: SET791+4 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:23:58 EDT 2023

% Result   : Theorem 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (   6 unt;   0 def)
%            Number of atoms       :  379 (  21 equ)
%            Maximal formula atoms :  256 (  13 avg)
%            Number of connectives :  461 ( 111   ~; 240   |;  91   &)
%                                         (   5 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   77 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   86 (   1 sgn;  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thIV3,conjecture,
    ! [X1,X2,X6] :
      ( ( order(X1,X2)
        & greatest(X6,X1,X2) )
     => max(X6,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.pShUxZaqLf/E---3.1_9098.p',thIV3) ).

fof(greatest,axiom,
    ! [X1,X2,X6] :
      ( greatest(X6,X1,X2)
    <=> ( member(X6,X2)
        & ! [X3] :
            ( member(X3,X2)
           => apply(X1,X3,X6) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pShUxZaqLf/E---3.1_9098.p',greatest) ).

fof(max,axiom,
    ! [X1,X2,X6] :
      ( max(X6,X1,X2)
    <=> ( member(X6,X2)
        & ! [X3] :
            ( ( member(X3,X2)
              & apply(X1,X6,X3) )
           => X6 = X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pShUxZaqLf/E---3.1_9098.p',max) ).

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/sandbox/tmp/tmp.pShUxZaqLf/E---3.1_9098.p',order) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X6] :
        ( ( order(X1,X2)
          & greatest(X6,X1,X2) )
       => max(X6,X1,X2) ),
    inference(assume_negation,[status(cth)],[thIV3]) ).

fof(c_0_5,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_6,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( ( member(X21,X20)
        | ~ greatest(X21,X19,X20) )
      & ( ~ member(X22,X20)
        | apply(X19,X22,X21)
        | ~ greatest(X21,X19,X20) )
      & ( member(esk5_3(X23,X24,X25),X24)
        | ~ member(X25,X24)
        | greatest(X25,X23,X24) )
      & ( ~ apply(X23,esk5_3(X23,X24,X25),X25)
        | ~ member(X25,X24)
        | greatest(X25,X23,X24) ) ),
    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)],[greatest])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ( order(esk1_0,esk2_0)
    & greatest(esk3_0,esk1_0,esk2_0)
    & ~ max(esk3_0,esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_8,plain,
    ! [X29,X30,X31,X32,X33,X34,X35,X36,X37,X38] :
      ( ( ~ member(X31,X29)
        | apply(X30,X31,X31)
        | ~ epred1_2(X30,X29) )
      & ( ~ member(X32,X29)
        | ~ member(X33,X29)
        | ~ apply(X30,X32,X33)
        | ~ apply(X30,X33,X32)
        | X32 = X33
        | ~ epred1_2(X30,X29) )
      & ( ~ member(X34,X29)
        | ~ member(X35,X29)
        | ~ member(X36,X29)
        | ~ apply(X30,X34,X35)
        | ~ apply(X30,X35,X36)
        | apply(X30,X34,X36)
        | ~ epred1_2(X30,X29) )
      & ( member(esk9_2(X37,X38),X37)
        | member(esk7_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | member(esk7_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | member(esk7_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | member(esk7_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | member(esk7_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | member(esk7_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | member(esk8_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | member(esk8_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | member(esk8_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | member(esk8_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | member(esk8_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | member(esk8_2(X37,X38),X37)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | member(esk6_2(X37,X38),X37)
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | member(esk7_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | member(esk7_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | member(esk7_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | member(esk7_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | member(esk7_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | member(esk7_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | member(esk8_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | member(esk8_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | member(esk8_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | member(esk8_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | member(esk8_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | member(esk8_2(X37,X38),X37)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk7_2(X37,X38),esk8_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | apply(X38,esk8_2(X37,X38),esk7_2(X37,X38))
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk9_2(X37,X38),X37)
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk10_2(X37,X38),X37)
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( member(esk11_2(X37,X38),X37)
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk9_2(X37,X38),esk10_2(X37,X38))
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( apply(X38,esk10_2(X37,X38),esk11_2(X37,X38))
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) )
      & ( ~ apply(X38,esk9_2(X37,X38),esk11_2(X37,X38))
        | esk7_2(X37,X38) != esk8_2(X37,X38)
        | ~ apply(X38,esk6_2(X37,X38),esk6_2(X37,X38))
        | epred1_2(X38,X37) ) ),
    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)],[c_0_5])])])])])]) ).

cnf(c_0_9,plain,
    ( apply(X3,X1,X4)
    | ~ member(X1,X2)
    | ~ greatest(X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    greatest(esk3_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( X1 = X3
    | ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ apply(X4,X1,X3)
    | ~ apply(X4,X3,X1)
    | ~ epred1_2(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( apply(esk1_0,X1,esk3_0)
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

fof(c_0_13,plain,
    ! [X11,X12,X13,X14,X15,X16,X17] :
      ( ( member(X13,X12)
        | ~ max(X13,X11,X12) )
      & ( ~ member(X14,X12)
        | ~ apply(X11,X13,X14)
        | X13 = X14
        | ~ max(X13,X11,X12) )
      & ( member(esk4_3(X15,X16,X17),X16)
        | ~ member(X17,X16)
        | max(X17,X15,X16) )
      & ( apply(X15,X17,esk4_3(X15,X16,X17))
        | ~ member(X17,X16)
        | max(X17,X15,X16) )
      & ( X17 != esk4_3(X15,X16,X17)
        | ~ member(X17,X16)
        | max(X17,X15,X16) ) ),
    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)],[max])])])])])]) ).

fof(c_0_14,axiom,
    ! [X1,X2] :
      ( order(X1,X2)
    <=> epred1_2(X1,X2) ),
    inference(apply_def,[status(thm)],[order,c_0_5]) ).

cnf(c_0_15,negated_conjecture,
    ( esk3_0 = X1
    | ~ epred1_2(esk1_0,X2)
    | ~ apply(esk1_0,esk3_0,X1)
    | ~ member(esk3_0,X2)
    | ~ member(X1,esk2_0)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( apply(X1,X2,esk4_3(X1,X3,X2))
    | max(X2,X1,X3)
    | ~ member(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( max(X1,X2,X3)
    | X1 != esk4_3(X2,X3,X1)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( member(X1,X2)
    | ~ greatest(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_19,plain,
    ! [X27,X28] :
      ( ( ~ order(X27,X28)
        | epred1_2(X27,X28) )
      & ( ~ epred1_2(X27,X28)
        | order(X27,X28) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).

cnf(c_0_20,negated_conjecture,
    ( max(esk3_0,esk1_0,X1)
    | ~ epred1_2(esk1_0,X2)
    | ~ member(esk4_3(esk1_0,X1,esk3_0),esk2_0)
    | ~ member(esk4_3(esk1_0,X1,esk3_0),X2)
    | ~ member(esk3_0,X2)
    | ~ member(esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_21,plain,
    ( member(esk4_3(X1,X2,X3),X2)
    | max(X3,X1,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    member(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_18,c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    ~ max(esk3_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_24,plain,
    ( epred1_2(X1,X2)
    | ~ order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    order(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ epred1_2(esk1_0,X1)
    | ~ member(esk4_3(esk1_0,esk2_0,esk3_0),X1)
    | ~ member(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    epred1_2(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_27]),c_0_22])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET791+4 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 16:33:41 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.pShUxZaqLf/E---3.1_9098.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # new_bool_3 with pid 9176 completed with status 0
% 0.16/0.45  # Result found by new_bool_3
% 0.16/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGUSF-FFLF32-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45  # SAT001_MinMin_p005000_rr_RG with pid 9180 completed with status 0
% 0.16/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGUSF-FFLF32-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.002 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Theorem
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 11
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 7
% 0.16/0.45  # Initial clauses                      : 77
% 0.16/0.45  # Removed in clause preprocessing      : 0
% 0.16/0.45  # Initial clauses in saturation        : 77
% 0.16/0.45  # Processed clauses                    : 107
% 0.16/0.45  # ...of these trivial                  : 0
% 0.16/0.45  # ...subsumed                          : 0
% 0.16/0.45  # ...remaining for further processing  : 107
% 0.16/0.45  # Other redundant clauses eliminated   : 0
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 0
% 0.16/0.45  # Backward-rewritten                   : 0
% 0.16/0.45  # Generated clauses                    : 13
% 0.16/0.45  # ...of the previous two non-redundant : 10
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 1
% 0.16/0.45  # Paramodulations                      : 13
% 0.16/0.45  # Factorizations                       : 0
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 0
% 0.16/0.45  # Total rewrite steps                  : 5
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 30
% 0.16/0.45  #    Positive orientable unit clauses  : 4
% 0.16/0.45  #    Positive unorientable unit clauses: 0
% 0.16/0.45  #    Negative unit clauses             : 1
% 0.16/0.45  #    Non-unit-clauses                  : 25
% 0.16/0.45  # Current number of unprocessed clauses: 57
% 0.16/0.45  # ...number of literals in the above   : 234
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 77
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 1263
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 560
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 1
% 0.16/0.45  # Unit Clause-clause subsumption calls : 3
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 0
% 0.16/0.45  # BW rewrite match successes           : 0
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 5266
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.010 s
% 0.16/0.45  # System time              : 0.002 s
% 0.16/0.45  # Total time               : 0.012 s
% 0.16/0.45  # Maximum resident set size: 1900 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.011 s
% 0.16/0.45  # System time              : 0.004 s
% 0.16/0.45  # Total time               : 0.015 s
% 0.16/0.45  # Maximum resident set size: 1732 pages
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------