TSTP Solution File: SEV515+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 19:35:41 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  101 (  16 unt;   0 def)
%            Number of atoms       :  693 (   0 equ)
%            Maximal formula atoms :  284 (   6 avg)
%            Number of connectives :  792 ( 200   ~; 514   |;  67   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :  118 (   0 sgn;  35   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(nc1,conjecture,
    ( ! [X1] :
      ? [X2] :
        ( ( g_true_only(X2,X1)
          & ( g_both(X2,X2)
            | g_true_only(X2,X2) ) )
        | ( g_both(X2,X1)
          & ( g_false_only(X2,X2)
            | g_true_only(X2,X2) ) )
        | ( g_false_only(X2,X1)
          & ( g_false_only(X2,X2)
            | g_both(X2,X2) ) ) )
    | ( ? [X1] :
          ( ? [X2] :
              ( g_both(X2,X1)
              & g_both(X2,X2) )
          & ~ ? [X2] :
                ( ( g_true_only(X2,X1)
                  & ( g_both(X2,X2)
                    | g_true_only(X2,X2) ) )
                | ( g_both(X2,X1)
                  & ( g_false_only(X2,X2)
                    | g_true_only(X2,X2) ) )
                | ( g_false_only(X2,X1)
                  & ( g_false_only(X2,X2)
                    | g_both(X2,X2) ) ) ) )
      & ~ ? [X1] :
          ! [X2] :
            ( ( g_true_only(X2,X1)
              & g_false_only(X2,X2) )
            | ( g_false_only(X2,X1)
              & g_true_only(X2,X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JAgHMSZnFJ/E---3.1_32389.p',nc1) ).

fof(exhaustion_g,axiom,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
      | g_both(X3,X4)
      | g_false_only(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.JAgHMSZnFJ/E---3.1_32389.p',exhaustion_g) ).

fof(true_only_g,axiom,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
    <=> ( g_true(X3,X4)
        & ~ g_false(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JAgHMSZnFJ/E---3.1_32389.p',true_only_g) ).

fof(false_only_g,axiom,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
    <=> ( g_false(X3,X4)
        & ~ g_true(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JAgHMSZnFJ/E---3.1_32389.p',false_only_g) ).

fof(c_0_4,negated_conjecture,
    ~ ( ! [X1] :
        ? [X2] :
          ( ( g_true_only(X2,X1)
            & ( g_both(X2,X2)
              | g_true_only(X2,X2) ) )
          | ( g_both(X2,X1)
            & ( g_false_only(X2,X2)
              | g_true_only(X2,X2) ) )
          | ( g_false_only(X2,X1)
            & ( g_false_only(X2,X2)
              | g_both(X2,X2) ) ) )
      | ( ? [X1] :
            ( ? [X2] :
                ( g_both(X2,X1)
                & g_both(X2,X2) )
            & ~ ? [X2] :
                  ( ( g_true_only(X2,X1)
                    & ( g_both(X2,X2)
                      | g_true_only(X2,X2) ) )
                  | ( g_both(X2,X1)
                    & ( g_false_only(X2,X2)
                      | g_true_only(X2,X2) ) )
                  | ( g_false_only(X2,X1)
                    & ( g_false_only(X2,X2)
                      | g_both(X2,X2) ) ) ) )
        & ~ ? [X1] :
            ! [X2] :
              ( ( g_true_only(X2,X1)
                & g_false_only(X2,X2) )
              | ( g_false_only(X2,X1)
                & g_true_only(X2,X2) ) ) ) ),
    inference(assume_negation,[status(cth)],[nc1]) ).

fof(c_0_5,negated_conjecture,
    ! [X6,X7,X8,X13] :
      ( ( ~ g_both(X6,X6)
        | ~ g_true_only(X6,esk1_0) )
      & ( ~ g_true_only(X6,X6)
        | ~ g_true_only(X6,esk1_0) )
      & ( ~ g_false_only(X6,X6)
        | ~ g_both(X6,esk1_0) )
      & ( ~ g_true_only(X6,X6)
        | ~ g_both(X6,esk1_0) )
      & ( ~ g_false_only(X6,X6)
        | ~ g_false_only(X6,esk1_0) )
      & ( ~ g_both(X6,X6)
        | ~ g_false_only(X6,esk1_0) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) ) ),
    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_4])])])])])]) ).

fof(c_0_6,plain,
    ! [X20,X21] :
      ( g_true_only(X20,X21)
      | g_both(X20,X21)
      | g_false_only(X20,X21) ),
    inference(variable_rename,[status(thm)],[exhaustion_g]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ g_true_only(X1,X1)
    | ~ g_true_only(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( g_true_only(X1,X2)
    | g_both(X1,X2)
    | g_false_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ g_true_only(X1,X1)
    | ~ g_both(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_10,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( g_true_only(X1,X1)
        | g_false_only(X1,X1) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
    <=> ( g_true(X3,X4)
        & ~ g_false(X3,X4) ) ),
    inference(fof_simplification,[status(thm)],[true_only_g]) ).

fof(c_0_12,plain,
    ! [X3,X4] :
      ( g_false_only(X3,X4)
    <=> ( g_false(X3,X4)
        & ~ g_true(X3,X4) ) ),
    inference(fof_simplification,[status(thm)],[false_only_g]) ).

cnf(c_0_13,negated_conjecture,
    ( g_false_only(X1,esk1_0)
    | ~ g_true_only(X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( epred2_0
    | g_false_only(X1,X1)
    | g_true_only(X1,X1) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X14,X15] :
      ( ( g_true(X14,X15)
        | ~ g_true_only(X14,X15) )
      & ( ~ g_false(X14,X15)
        | ~ g_true_only(X14,X15) )
      & ( ~ g_true(X14,X15)
        | g_false(X14,X15)
        | g_true_only(X14,X15) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_16,plain,
    ! [X18,X19] :
      ( ( g_false(X18,X19)
        | ~ g_false_only(X18,X19) )
      & ( ~ g_true(X18,X19)
        | ~ g_false_only(X18,X19) )
      & ( ~ g_false(X18,X19)
        | g_true(X18,X19)
        | g_false_only(X18,X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_17,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( g_true_only(X1,X1)
        | g_true_only(X1,esk5_0) ) ),
    introduced(definition) ).

cnf(c_0_18,negated_conjecture,
    ( epred2_0
    | g_false_only(X1,esk1_0)
    | g_false_only(X1,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ( ~ g_false(X1,X2)
    | ~ g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( g_false(X1,X2)
    | ~ g_false_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( epred3_0
    | g_true_only(X1,esk5_0)
    | g_true_only(X1,X1) ),
    inference(split_equiv,[status(thm)],[c_0_17]) ).

fof(c_0_22,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( g_false_only(X1,X1)
        | g_false_only(X1,esk5_0) ) ),
    introduced(definition) ).

fof(c_0_23,plain,
    ( ~ epred1_0
  <=> ! [X2,X3] :
        ( g_true_only(esk2_1(X2),X2)
        | g_both(esk3_1(X2),X2)
        | g_false_only(esk4_1(X2),X2)
        | ~ g_both(X3,X2)
        | ~ g_both(X3,X3) ) ),
    introduced(definition) ).

cnf(c_0_24,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_true_only(esk2_1(X2),X2)
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | ~ g_false_only(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_26,negated_conjecture,
    ( epred2_0
    | g_false_only(esk1_0,esk1_0) ),
    inference(ef,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( ~ g_false_only(X1,X2)
    | ~ g_true_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    ( epred3_0
    | g_true_only(esk5_0,esk5_0) ),
    inference(ef,[status(thm)],[c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    ( epred4_0
    | g_false_only(X1,esk5_0)
    | g_false_only(X1,X1) ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24,c_0_23]),c_0_10]) ).

cnf(c_0_31,negated_conjecture,
    epred2_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    ( g_false_only(X1,esk1_0)
    | g_false_only(X1,X1)
    | g_both(X1,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_8]) ).

fof(c_0_33,plain,
    ( ~ epred6_0
  <=> ! [X2,X3] :
        ( g_true_only(esk2_1(X2),X2)
        | g_both(esk3_1(X2),X2)
        | g_both(esk4_1(X2),esk4_1(X2))
        | g_false_only(esk4_1(X2),esk4_1(X2))
        | ~ g_both(X3,X2)
        | ~ g_both(X3,X3) ) ),
    introduced(definition) ).

cnf(c_0_34,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(X1,esk5_0)
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_true_only(esk2_1(X2),X2)
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_35,negated_conjecture,
    ( epred3_0
    | ~ g_false_only(esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_36,negated_conjecture,
    ( epred4_0
    | g_false_only(esk5_0,esk5_0) ),
    inference(ef,[status(thm)],[c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ( g_false_only(X1,esk5_0)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_true_only(esk2_1(X2),X2)
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_38,negated_conjecture,
    ~ epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).

cnf(c_0_39,negated_conjecture,
    ( g_false_only(esk1_0,esk1_0)
    | g_both(esk1_0,esk1_0) ),
    inference(ef,[status(thm)],[c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ epred6_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34,c_0_33]),c_0_17]) ).

cnf(c_0_41,negated_conjecture,
    ( epred4_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ epred6_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37,c_0_33]),c_0_22]) ).

cnf(c_0_43,negated_conjecture,
    ( g_false_only(esk4_1(X1),X1)
    | g_both(esk3_1(X1),X1)
    | g_true_only(esk2_1(X1),X1)
    | ~ g_both(X2,X1)
    | ~ g_both(X2,X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_23]),c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    g_both(esk1_0,esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_39]),c_0_39]) ).

cnf(c_0_45,negated_conjecture,
    ~ epred6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ g_both(X1,X1)
    | ~ g_false_only(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_47,negated_conjecture,
    ( g_false_only(esk4_1(esk1_0),esk1_0)
    | g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_44])]) ).

fof(c_0_48,plain,
    ( ~ epred7_0
  <=> ! [X2,X3] :
        ( g_true_only(esk2_1(X2),esk2_1(X2))
        | g_both(esk3_1(X2),X2)
        | g_both(esk2_1(X2),esk2_1(X2))
        | g_false_only(esk4_1(X2),X2)
        | ~ g_both(X3,X2)
        | ~ g_both(X3,X3) ) ),
    introduced(definition) ).

cnf(c_0_49,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(X1,esk5_0)
    | g_false_only(esk4_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk2_1(X2),esk2_1(X2))
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_50,negated_conjecture,
    ( g_false_only(X1,esk5_0)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk2_1(X2),esk2_1(X2))
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_51,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_true_only(esk2_1(X2),X2)
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_52,negated_conjecture,
    ( g_false_only(esk4_1(X1),esk4_1(X1))
    | g_both(esk4_1(X1),esk4_1(X1))
    | g_both(esk3_1(X1),X1)
    | g_true_only(esk2_1(X1),X1)
    | ~ g_both(X2,X1)
    | ~ g_both(X2,X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_33]),c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    ( g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk1_0)
    | ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    ( g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk1_0)
    | ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ epred7_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_49,c_0_48]),c_0_17]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ epred7_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_50,c_0_48]),c_0_22]) ).

fof(c_0_57,plain,
    ( ~ epred8_0
  <=> ! [X2,X3] :
        ( g_true_only(esk2_1(X2),esk2_1(X2))
        | g_both(esk3_1(X2),X2)
        | g_both(esk2_1(X2),esk2_1(X2))
        | g_both(esk4_1(X2),esk4_1(X2))
        | g_false_only(esk4_1(X2),esk4_1(X2))
        | ~ g_both(X3,X2)
        | ~ g_both(X3,X3) ) ),
    introduced(definition) ).

cnf(c_0_58,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_true_only(X1,esk5_0)
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk2_1(X2),esk2_1(X2))
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_59,negated_conjecture,
    ( g_false_only(X1,esk5_0)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk2_1(X2),esk2_1(X2))
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_60,negated_conjecture,
    ( g_false_only(esk3_1(X1),esk3_1(X1))
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | g_true_only(esk2_1(X1),X1)
    | ~ g_both(X2,X2)
    | ~ g_both(X2,X1) ),
    inference(condense,[status(thm)],[c_0_51]) ).

cnf(c_0_61,negated_conjecture,
    ( g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44]),c_0_44])]),c_0_53]),c_0_54]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | ~ g_both(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_63,negated_conjecture,
    ~ epred7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_41]),c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ epred8_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_58,c_0_57]),c_0_17]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ epred8_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_59,c_0_57]),c_0_22]) ).

cnf(c_0_66,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_true_only(esk2_1(X2),X2)
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_67,negated_conjecture,
    ( g_false_only(esk3_1(X1),esk3_1(X1))
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | g_true_only(esk2_1(X1),X1)
    | ~ g_both(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_44]) ).

cnf(c_0_68,negated_conjecture,
    ( g_true_only(esk2_1(esk1_0),esk1_0)
    | ~ g_true_only(esk3_1(esk1_0),esk3_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_61]) ).

cnf(c_0_69,negated_conjecture,
    ( g_true_only(esk2_1(esk1_0),esk1_0)
    | ~ g_false_only(esk3_1(esk1_0),esk3_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    ( g_false_only(esk4_1(X1),X1)
    | g_both(esk2_1(X1),esk2_1(X1))
    | g_both(esk3_1(X1),X1)
    | g_true_only(esk2_1(X1),esk2_1(X1))
    | ~ g_both(X2,X1)
    | ~ g_both(X2,X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_48]),c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    ~ epred8_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_41]),c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    ( g_false_only(esk4_1(X1),esk4_1(X1))
    | g_false_only(esk3_1(X1),esk3_1(X1))
    | g_both(esk4_1(X1),esk4_1(X1))
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | g_true_only(esk2_1(X1),X1)
    | ~ g_both(X2,X2)
    | ~ g_both(X2,X1) ),
    inference(condense,[status(thm)],[c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    ( g_false_only(esk4_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_44]),c_0_68]),c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    ( g_false_only(esk4_1(esk1_0),esk1_0)
    | g_both(esk2_1(esk1_0),esk2_1(esk1_0))
    | g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_44]),c_0_44])]) ).

cnf(c_0_75,negated_conjecture,
    ( g_false_only(esk4_1(X1),esk4_1(X1))
    | g_both(esk4_1(X1),esk4_1(X1))
    | g_both(esk2_1(X1),esk2_1(X1))
    | g_both(esk3_1(X1),X1)
    | g_true_only(esk2_1(X1),esk2_1(X1))
    | ~ g_both(X2,X1)
    | ~ g_both(X2,X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_57]),c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    ( g_false_only(esk3_1(X1),esk3_1(X1))
    | g_false_only(esk4_1(X1),esk4_1(X1))
    | g_both(esk4_1(X1),esk4_1(X1))
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | g_true_only(esk2_1(X1),X1)
    | ~ g_both(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_44]) ).

cnf(c_0_77,negated_conjecture,
    ( g_true_only(esk2_1(esk1_0),esk1_0)
    | ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_73]) ).

cnf(c_0_78,negated_conjecture,
    ( g_true_only(esk2_1(esk1_0),esk1_0)
    | ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_73]) ).

cnf(c_0_79,negated_conjecture,
    ( g_both(esk2_1(esk1_0),esk2_1(esk1_0))
    | g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
    | ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    ( g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
    | g_both(esk2_1(esk1_0),esk2_1(esk1_0))
    | g_both(esk4_1(esk1_0),esk4_1(esk1_0))
    | g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_44]),c_0_44])]) ).

cnf(c_0_81,negated_conjecture,
    ( g_both(esk2_1(esk1_0),esk2_1(esk1_0))
    | g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
    | ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_74]) ).

cnf(c_0_82,negated_conjecture,
    g_true_only(esk2_1(esk1_0),esk1_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_44]),c_0_68]),c_0_77]),c_0_78]),c_0_69]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ g_both(X1,X1)
    | ~ g_true_only(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_84,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk2_1(X2),esk2_1(X2))
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_85,negated_conjecture,
    ( g_both(esk2_1(esk1_0),esk2_1(esk1_0))
    | g_both(esk3_1(esk1_0),esk1_0)
    | g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).

cnf(c_0_86,negated_conjecture,
    ~ g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_7,c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    ~ g_both(esk2_1(esk1_0),esk2_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_83,c_0_82]) ).

cnf(c_0_88,negated_conjecture,
    ( g_false_only(esk3_1(X1),esk3_1(X1))
    | g_false_only(esk4_1(X1),X1)
    | g_both(esk2_1(X1),esk2_1(X1))
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | g_true_only(esk2_1(X1),esk2_1(X1))
    | ~ g_both(X2,X2)
    | ~ g_both(X2,X1) ),
    inference(condense,[status(thm)],[c_0_84]) ).

cnf(c_0_89,negated_conjecture,
    g_both(esk3_1(esk1_0),esk1_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ( g_false_only(esk3_1(X1),esk3_1(X1))
    | g_false_only(esk4_1(X1),X1)
    | g_both(esk2_1(X1),esk2_1(X1))
    | g_true_only(esk2_1(X1),esk2_1(X1))
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | ~ g_both(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_44]) ).

cnf(c_0_91,negated_conjecture,
    ~ g_true_only(esk3_1(esk1_0),esk3_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_9,c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    ( g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk2_1(X2),esk2_1(X2))
    | ~ g_both(X3,X2)
    | ~ g_both(X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_93,negated_conjecture,
    ( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
    | g_false_only(esk4_1(esk1_0),esk1_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_44]),c_0_87]),c_0_86]),c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    ~ g_false_only(esk3_1(esk1_0),esk3_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_62,c_0_89]) ).

cnf(c_0_95,negated_conjecture,
    ( g_false_only(esk4_1(X1),esk4_1(X1))
    | g_false_only(esk3_1(X1),esk3_1(X1))
    | g_both(esk4_1(X1),esk4_1(X1))
    | g_both(esk2_1(X1),esk2_1(X1))
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | g_true_only(esk2_1(X1),esk2_1(X1))
    | ~ g_both(X2,X2)
    | ~ g_both(X2,X1) ),
    inference(condense,[status(thm)],[c_0_92]) ).

cnf(c_0_96,negated_conjecture,
    g_false_only(esk4_1(esk1_0),esk1_0),
    inference(sr,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_97,negated_conjecture,
    ( g_false_only(esk3_1(X1),esk3_1(X1))
    | g_false_only(esk4_1(X1),esk4_1(X1))
    | g_both(esk2_1(X1),esk2_1(X1))
    | g_both(esk4_1(X1),esk4_1(X1))
    | g_true_only(esk2_1(X1),esk2_1(X1))
    | g_true_only(esk3_1(X1),esk3_1(X1))
    | ~ g_both(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_44]) ).

cnf(c_0_98,negated_conjecture,
    ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_46,c_0_96]) ).

cnf(c_0_99,negated_conjecture,
    g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_44]),c_0_94]),c_0_87]),c_0_98]),c_0_86]),c_0_91]) ).

cnf(c_0_100,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_96]),c_0_99])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 09:39:00 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.JAgHMSZnFJ/E---3.1_32389.p
% 0.20/0.52  # Version: 3.1pre001
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32497 completed with status 0
% 0.20/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # No SInE strategy applied
% 0.20/0.52  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.52  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.52  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.20/0.52  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.52  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 32509 completed with status 0
% 0.20/0.52  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # No SInE strategy applied
% 0.20/0.52  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.52  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.52  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.20/0.52  # Preprocessing time       : 0.001 s
% 0.20/0.52  
% 0.20/0.52  # Proof found!
% 0.20/0.52  # SZS status Theorem
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  # Parsed axioms                        : 5
% 0.20/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.52  # Initial clauses                      : 48
% 0.20/0.52  # Removed in clause preprocessing      : 0
% 0.20/0.52  # Initial clauses in saturation        : 48
% 0.20/0.52  # Processed clauses                    : 261
% 0.20/0.52  # ...of these trivial                  : 0
% 0.20/0.52  # ...subsumed                          : 89
% 0.20/0.52  # ...remaining for further processing  : 171
% 0.20/0.52  # Other redundant clauses eliminated   : 0
% 0.20/0.52  # Clauses deleted for lack of memory   : 0
% 0.20/0.52  # Backward-subsumed                    : 30
% 0.20/0.52  # Backward-rewritten                   : 21
% 0.20/0.52  # Generated clauses                    : 306
% 0.20/0.52  # ...of the previous two non-redundant : 280
% 0.20/0.52  # ...aggressively subsumed             : 0
% 0.20/0.52  # Contextual simplify-reflections      : 20
% 0.20/0.52  # Paramodulations                      : 269
% 0.20/0.52  # Factorizations                       : 8
% 0.20/0.52  # NegExts                              : 0
% 0.20/0.52  # Equation resolutions                 : 0
% 0.20/0.52  # Total rewrite steps                  : 47
% 0.20/0.52  # Propositional unsat checks           : 0
% 0.20/0.52  #    Propositional check models        : 0
% 0.20/0.52  #    Propositional check unsatisfiable : 0
% 0.20/0.52  #    Propositional clauses             : 0
% 0.20/0.52  #    Propositional clauses after purity: 0
% 0.20/0.52  #    Propositional unsat core size     : 0
% 0.20/0.52  #    Propositional preprocessing time  : 0.000
% 0.20/0.52  #    Propositional encoding time       : 0.000
% 0.20/0.52  #    Propositional solver time         : 0.000
% 0.20/0.52  #    Success case prop preproc time    : 0.000
% 0.20/0.52  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 99
% 0.20/0.52  #    Positive orientable unit clauses  : 7
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 14
% 0.20/0.52  #    Non-unit-clauses                  : 78
% 0.20/0.52  # Current number of unprocessed clauses: 51
% 0.20/0.52  # ...number of literals in the above   : 238
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 56
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 4002
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 2002
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 170
% 0.20/0.52  # Unit Clause-clause subsumption calls : 248
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 3
% 0.20/0.52  # BW rewrite match successes           : 3
% 0.20/0.52  # Condensation attempts                : 261
% 0.20/0.52  # Condensation successes               : 4
% 0.20/0.52  # Termbank termtop insertions          : 9179
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.020 s
% 0.20/0.52  # System time              : 0.002 s
% 0.20/0.52  # Total time               : 0.022 s
% 0.20/0.52  # Maximum resident set size: 1780 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.091 s
% 0.20/0.52  # System time              : 0.011 s
% 0.20/0.52  # Total time               : 0.101 s
% 0.20/0.52  # Maximum resident set size: 1676 pages
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------