TSTP Solution File: SEU903^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU903^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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  : 300s
% DateTime : Tue May 21 03:30:48 EDT 2024

% Result   : Theorem 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  101 (  11 unt;  16 typ;   0 def)
%            Number of atoms       :  316 (  44 equ;   0 cnn)
%            Maximal formula atoms :   68 (   3 avg)
%            Number of connectives : 1384 ( 184   ~; 219   |;  50   &; 895   @)
%                                         (   1 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   8 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :  112 ( 112   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   5 con; 0-8 aty)
%            Number of variables   :  140 (   0   ^ 140   !;   0   ?; 140   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    g: $tType ).

thf(decl_sort2,type,
    b: $tType ).

thf(decl_sort3,type,
    a: $tType ).

thf(decl_22,type,
    epred1_8: ( b > a ) > ( a > $o ) > ( a > a ) > ( b > $o ) > ( b > b ) > ( g > b ) > ( g > $o ) > ( g > g ) > $o ).

thf(decl_23,type,
    esk1_0: g > b ).

thf(decl_24,type,
    esk2_0: b > a ).

thf(decl_25,type,
    epred2_0: g > $o ).

thf(decl_26,type,
    esk3_0: g > g ).

thf(decl_27,type,
    epred3_0: b > $o ).

thf(decl_28,type,
    esk4_0: b > b ).

thf(decl_29,type,
    epred4_0: a > $o ).

thf(decl_30,type,
    esk5_0: a > a ).

thf(decl_31,type,
    esk6_0: g ).

thf(decl_32,type,
    esk7_0: a ).

thf(decl_33,type,
    esk8_0: g ).

thf(decl_34,type,
    esk9_0: g ).

thf(cTHM131_pme,conjecture,
    ! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g,X5: b > $o,X6: b > b,X7: a > $o,X8: a > a] :
      ( ( ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X3 @ ( X4 @ X9 ) ) )
        & ! [X10: b] :
            ( ( X5 @ X10 )
           => ( X5 @ ( X6 @ X10 ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X5 @ ( X1 @ X9 ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( ( X1 @ ( X4 @ X9 ) )
              = ( X6 @ ( X1 @ X9 ) ) ) )
        & ! [X11: b] :
            ( ( X5 @ X11 )
           => ( X5 @ ( X6 @ X11 ) ) )
        & ! [X12: a] :
            ( ( X7 @ X12 )
           => ( X7 @ ( X8 @ X12 ) ) )
        & ! [X13: b] :
            ( ( X5 @ X13 )
           => ( X7 @ ( X2 @ X13 ) ) )
        & ! [X14: b] :
            ( ( X5 @ X14 )
           => ( ( X2 @ ( X6 @ X14 ) )
              = ( X8 @ ( X2 @ X14 ) ) ) ) )
     => ( ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X3 @ ( X4 @ X9 ) ) )
        & ! [X15: a] :
            ( ( X7 @ X15 )
           => ( X7 @ ( X8 @ X15 ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( ( X2 @ ( X1 @ ( X4 @ X9 ) ) )
              = ( X8 @ ( X2 @ ( X1 @ X9 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM131_pme) ).

thf(c_0_1,plain,
    ! [X4: g > g,X3: g > $o,X1: g > b,X5: b > $o,X8: a > a,X7: a > $o,X6: b > b,X2: b > a] :
      ( ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 )
    <=> ( ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X3 @ ( X4 @ X9 ) ) )
        & ! [X10: b] :
            ( ( X5 @ X10 )
           => ( X5 @ ( X6 @ X10 ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X5 @ ( X1 @ X9 ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( ( X1 @ ( X4 @ X9 ) )
              = ( X6 @ ( X1 @ X9 ) ) ) )
        & ! [X11: b] :
            ( ( X5 @ X11 )
           => ( X5 @ ( X6 @ X11 ) ) )
        & ! [X12: a] :
            ( ( X7 @ X12 )
           => ( X7 @ ( X8 @ X12 ) ) )
        & ! [X13: b] :
            ( ( X5 @ X13 )
           => ( X7 @ ( X2 @ X13 ) ) )
        & ! [X14: b] :
            ( ( X5 @ X14 )
           => ( ( X2 @ ( X6 @ X14 ) )
              = ( X8 @ ( X2 @ X14 ) ) ) ) ) ),
    introduced(definition) ).

thf(c_0_2,plain,
    ! [X4: g > g,X3: g > $o,X1: g > b,X5: b > $o,X8: a > a,X7: a > $o,X6: b > b,X2: b > a] :
      ( ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 )
     => ( ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X3 @ ( X4 @ X9 ) ) )
        & ! [X10: b] :
            ( ( X5 @ X10 )
           => ( X5 @ ( X6 @ X10 ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( X5 @ ( X1 @ X9 ) ) )
        & ! [X9: g] :
            ( ( X3 @ X9 )
           => ( ( X1 @ ( X4 @ X9 ) )
              = ( X6 @ ( X1 @ X9 ) ) ) )
        & ! [X11: b] :
            ( ( X5 @ X11 )
           => ( X5 @ ( X6 @ X11 ) ) )
        & ! [X12: a] :
            ( ( X7 @ X12 )
           => ( X7 @ ( X8 @ X12 ) ) )
        & ! [X13: b] :
            ( ( X5 @ X13 )
           => ( X7 @ ( X2 @ X13 ) ) )
        & ! [X14: b] :
            ( ( X5 @ X14 )
           => ( ( X2 @ ( X6 @ X14 ) )
              = ( X8 @ ( X2 @ X14 ) ) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

thf(c_0_3,negated_conjecture,
    ~ ! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g,X5: b > $o,X6: b > b,X7: a > $o,X8: a > a] :
        ( ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 )
       => ( ! [X9: g] :
              ( ( X3 @ X9 )
             => ( X3 @ ( X4 @ X9 ) ) )
          & ! [X15: a] :
              ( ( X7 @ X15 )
             => ( X7 @ ( X8 @ X15 ) ) )
          & ! [X9: g] :
              ( ( X3 @ X9 )
             => ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
          & ! [X9: g] :
              ( ( X3 @ X9 )
             => ( ( X2 @ ( X1 @ ( X4 @ X9 ) ) )
                = ( X8 @ ( X2 @ ( X1 @ X9 ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM131_pme]),c_0_1]) ).

thf(c_0_4,plain,
    ! [X48: g > g,X49: g > $o,X50: g > b,X51: b > $o,X52: a > a,X53: a > $o,X54: b > b,X55: b > a,X56: g,X57: b,X58: g,X59: g,X60: b,X61: a,X62: b,X63: b] :
      ( ( ~ ( X49 @ X56 )
        | ( X49 @ ( X48 @ X56 ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) )
      & ( ~ ( X51 @ X57 )
        | ( X51 @ ( X54 @ X57 ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) )
      & ( ~ ( X49 @ X58 )
        | ( X51 @ ( X50 @ X58 ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) )
      & ( ~ ( X49 @ X59 )
        | ( ( X50 @ ( X48 @ X59 ) )
          = ( X54 @ ( X50 @ X59 ) ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) )
      & ( ~ ( X51 @ X60 )
        | ( X51 @ ( X54 @ X60 ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) )
      & ( ~ ( X53 @ X61 )
        | ( X53 @ ( X52 @ X61 ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) )
      & ( ~ ( X51 @ X62 )
        | ( X53 @ ( X55 @ X62 ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) )
      & ( ~ ( X51 @ X63 )
        | ( ( X55 @ ( X54 @ X63 ) )
          = ( X52 @ ( X55 @ X63 ) ) )
        | ~ ( epred1_8 @ X55 @ X53 @ X52 @ X51 @ X54 @ X50 @ X49 @ X48 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

thf(c_0_5,negated_conjecture,
    ( ( epred1_8 @ esk2_0 @ epred4_0 @ esk5_0 @ epred3_0 @ esk4_0 @ esk1_0 @ epred2_0 @ esk3_0 )
    & ( ( epred2_0 @ esk9_0 )
      | ( epred2_0 @ esk8_0 )
      | ( epred4_0 @ esk7_0 )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ( epred2_0 @ esk8_0 )
      | ( epred4_0 @ esk7_0 )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( epred2_0 @ esk9_0 )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ( epred4_0 @ esk7_0 )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ( epred4_0 @ esk7_0 )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( epred2_0 @ esk9_0 )
      | ( epred2_0 @ esk8_0 )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ( epred2_0 @ esk8_0 )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( epred2_0 @ esk9_0 )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ( epred2_0 @ esk6_0 ) )
    & ( ( epred2_0 @ esk9_0 )
      | ( epred2_0 @ esk8_0 )
      | ( epred4_0 @ esk7_0 )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ( epred2_0 @ esk8_0 )
      | ( epred4_0 @ esk7_0 )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) )
    & ( ( epred2_0 @ esk9_0 )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ( epred4_0 @ esk7_0 )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ( epred4_0 @ esk7_0 )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) )
    & ( ( epred2_0 @ esk9_0 )
      | ( epred2_0 @ esk8_0 )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ( epred2_0 @ esk8_0 )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) )
    & ( ( epred2_0 @ esk9_0 )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) )
    & ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
       != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
      | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
      | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
      | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

thf(c_0_6,plain,
    ! [X2: b > a,X9: g,X8: a > a,X7: a > $o,X6: b > b,X5: b > $o,X1: g > b,X3: g > $o,X4: g > g] :
      ( ( X3 @ ( X4 @ X9 ) )
      | ~ ( X3 @ X9 )
      | ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    epred1_8 @ esk2_0 @ epred4_0 @ esk5_0 @ epred3_0 @ esk4_0 @ esk1_0 @ epred2_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    ! [X10: b,X8: a > a,X7: a > $o,X6: b > b,X5: b > $o,X2: b > a,X1: g > b,X3: g > $o,X4: g > g] :
      ( ( X7 @ ( X2 @ X10 ) )
      | ~ ( X5 @ X10 )
      | ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_9,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk8_0 )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_10,negated_conjecture,
    ! [X9: g] :
      ( ( epred2_0 @ ( esk3_0 @ X9 ) )
      | ~ ( epred2_0 @ X9 ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_11,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk8_0 )
    | ( epred2_0 @ esk6_0 )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_12,plain,
    ! [X12: a,X8: a > a,X7: a > $o,X6: b > b,X5: b > $o,X2: b > a,X1: g > b,X3: g > $o,X4: g > g] :
      ( ( X7 @ ( X8 @ X12 ) )
      | ~ ( X7 @ X12 )
      | ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_13,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk8_0 )
    | ( epred4_0 @ esk7_0 )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_14,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk8_0 )
    | ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_15,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred4_0 @ esk7_0 )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_16,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk6_0 )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_17,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_18,negated_conjecture,
    ! [X10: b] :
      ( ( epred4_0 @ ( esk2_0 @ X10 ) )
      | ~ ( epred3_0 @ X10 ) ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

thf(c_0_19,plain,
    ! [X2: b > a,X9: g,X8: a > a,X7: a > $o,X6: b > b,X5: b > $o,X1: g > b,X3: g > $o,X4: g > g] :
      ( ( X5 @ ( X1 @ X9 ) )
      | ~ ( X3 @ X9 )
      | ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_20,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk8_0 )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

thf(c_0_21,negated_conjecture,
    ! [X12: a] :
      ( ( epred4_0 @ ( esk5_0 @ X12 ) )
      | ~ ( epred4_0 @ X12 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_7]) ).

thf(c_0_22,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_10]),c_0_14]) ).

thf(c_0_23,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk9_0 )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_16]) ).

thf(c_0_24,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk6_0 )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_25,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk8_0 ) ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

thf(c_0_26,negated_conjecture,
    ! [X9: g] :
      ( ( epred3_0 @ ( esk1_0 @ X9 ) )
      | ~ ( epred2_0 @ X9 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_7]) ).

thf(c_0_27,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred2_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

thf(c_0_28,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred4_0 @ esk7_0 )
    | ~ ( epred3_0 @ ( esk1_0 @ esk8_0 ) ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_18]) ).

thf(c_0_29,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk6_0 )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_23]) ).

thf(c_0_30,plain,
    ! [X10: b,X8: a > a,X7: a > $o,X6: b > b,X5: b > $o,X2: b > a,X1: g > b,X3: g > $o,X4: g > g] :
      ( ( ( X2 @ ( X6 @ X10 ) )
        = ( X8 @ ( X2 @ X10 ) ) )
      | ~ ( X5 @ X10 )
      | ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_31,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

thf(c_0_32,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_27]) ).

thf(c_0_33,negated_conjecture,
    ( ( epred2_0 @ esk6_0 )
    | ( epred2_0 @ esk9_0 )
    | ~ ( epred3_0 @ ( esk1_0 @ esk8_0 ) ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_18]) ).

thf(c_0_34,negated_conjecture,
    ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_35,negated_conjecture,
    ! [X10: b] :
      ( ( ( esk5_0 @ ( esk2_0 @ X10 ) )
        = ( esk2_0 @ ( esk4_0 @ X10 ) ) )
      | ~ ( epred3_0 @ X10 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_7]) ).

thf(c_0_36,plain,
    ! [X2: b > a,X9: g,X8: a > a,X7: a > $o,X6: b > b,X5: b > $o,X1: g > b,X3: g > $o,X4: g > g] :
      ( ( ( X1 @ ( X4 @ X9 ) )
        = ( X6 @ ( X1 @ X9 ) ) )
      | ~ ( X3 @ X9 )
      | ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_37,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_32]) ).

thf(c_0_38,negated_conjecture,
    ( ( epred2_0 @ esk9_0 )
    | ( epred2_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_27]) ).

thf(c_0_39,negated_conjecture,
    ( ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

thf(c_0_40,negated_conjecture,
    ! [X9: g] :
      ( ( ( esk4_0 @ ( esk1_0 @ X9 ) )
        = ( esk1_0 @ ( esk3_0 @ X9 ) ) )
      | ~ ( epred2_0 @ X9 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_7]) ).

thf(c_0_41,negated_conjecture,
    epred2_0 @ esk9_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_10]),c_0_38]) ).

thf(c_0_42,negated_conjecture,
    ( ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

thf(c_0_43,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk8_0 ) ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_18]) ).

thf(c_0_44,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) )
    | ~ ( epred2_0 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_43,c_0_26]) ).

thf(c_0_45,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_46,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_26]),c_0_41])]) ).

thf(c_0_47,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred4_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_48,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_49,negated_conjecture,
    ( ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_35]),c_0_46]) ).

thf(c_0_50,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred2_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_51,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk8_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_10]),c_0_48]) ).

thf(c_0_52,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_40]),c_0_41])]) ).

thf(c_0_53,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred2_0 @ esk6_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_21]),c_0_51]) ).

thf(c_0_54,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_55,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_26]),c_0_41])]) ).

thf(c_0_56,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred4_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(spm,[status(thm)],[c_0_51,c_0_35]) ).

thf(c_0_57,negated_conjecture,
    ( ( epred2_0 @ esk6_0 )
    | ( epred2_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(spm,[status(thm)],[c_0_53,c_0_35]) ).

thf(c_0_58,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_35]) ).

thf(c_0_59,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred4_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_55,c_0_21]) ).

thf(c_0_60,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk8_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_26]),c_0_41])]) ).

thf(c_0_61,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred2_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_26]),c_0_41])]) ).

thf(c_0_62,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_41])]) ).

thf(c_0_63,negated_conjecture,
    ( ~ ( epred4_0 @ esk7_0 )
    | ~ ( epred2_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_10]) ).

thf(c_0_64,negated_conjecture,
    ( ( epred2_0 @ esk8_0 )
    | ( epred4_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_40]),c_0_41])]) ).

thf(c_0_65,negated_conjecture,
    ( ( epred2_0 @ esk6_0 )
    | ( epred2_0 @ esk8_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_40]),c_0_41])]) ).

thf(c_0_66,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk8_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_18]),c_0_59]) ).

thf(c_0_67,negated_conjecture,
    epred2_0 @ esk8_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).

thf(c_0_68,negated_conjecture,
    ( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_26]),c_0_67])]) ).

thf(c_0_69,negated_conjecture,
    ~ ( epred2_0 @ ( esk3_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_26]),c_0_41])]) ).

thf(c_0_70,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_71,negated_conjecture,
    ( ( epred2_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) )
     != ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_72,negated_conjecture,
    ~ ( epred2_0 @ esk6_0 ),
    inference(spm,[status(thm)],[c_0_69,c_0_10]) ).

thf(c_0_73,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk6_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk8_0 ) ) ),
    inference(spm,[status(thm)],[c_0_70,c_0_18]) ).

thf(c_0_74,negated_conjecture,
    ( ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_35]),c_0_72]) ).

thf(c_0_75,negated_conjecture,
    ( ( epred2_0 @ esk6_0 )
    | ( epred4_0 @ esk7_0 )
    | ( ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_26]),c_0_53]) ).

thf(c_0_76,negated_conjecture,
    ( ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk8_0 ) ) )
    | ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_40]),c_0_41])]) ).

thf(c_0_77,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk6_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(spm,[status(thm)],[c_0_75,c_0_35]) ).

thf(c_0_78,negated_conjecture,
    ( ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk8_0 ) ) ),
    inference(spm,[status(thm)],[c_0_76,c_0_18]) ).

thf(c_0_79,negated_conjecture,
    ( ( epred2_0 @ esk6_0 )
    | ( epred4_0 @ esk7_0 )
    | ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk9_0 ) ) )
     != ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk9_0 ) ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_26]),c_0_41])]) ).

thf(c_0_80,negated_conjecture,
    ( ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) )
    | ~ ( epred3_0 @ ( esk1_0 @ esk9_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_26]),c_0_67])]) ).

thf(c_0_81,negated_conjecture,
    ( ( epred4_0 @ esk7_0 )
    | ( epred2_0 @ esk6_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_40]),c_0_41])]) ).

thf(c_0_82,negated_conjecture,
    ~ ( epred4_0 @ ( esk5_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_26]),c_0_41])]) ).

thf(c_0_83,negated_conjecture,
    epred4_0 @ esk7_0,
    inference(sr,[status(thm)],[c_0_81,c_0_72]) ).

thf(c_0_84,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_21]),c_0_83])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SEU903^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 16:53:37 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.18/0.45  Running higher-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  # Version: 3.1.0-ho
% 0.18/0.48  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting post_as_ho1 with 1500s (5) cores
% 0.18/0.48  # Starting post_as_ho12 with 300s (1) cores
% 0.18/0.48  # Starting new_ho_3 with 300s (1) cores
% 0.18/0.48  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.18/0.48  # post_as_ho1 with pid 30214 completed with status 0
% 0.18/0.48  # Result found by post_as_ho1
% 0.18/0.48  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting post_as_ho1 with 1500s (5) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: HGHSF-FFMF00-MSSFFSBN
% 0.18/0.48  # partial match(2): HGHSF-FFSF00-SSSFFSBN
% 0.18/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48  # Starting ho_unfolding_3 with 811s (1) cores
% 0.18/0.48  # Starting post_as_ho1 with 151s (1) cores
% 0.18/0.48  # Starting sh5l with 136s (1) cores
% 0.18/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.18/0.48  # post_as_ho1 with pid 30221 completed with status 0
% 0.18/0.48  # Result found by post_as_ho1
% 0.18/0.48  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting post_as_ho1 with 1500s (5) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: HGHSF-FFMF00-MSSFFSBN
% 0.18/0.48  # partial match(2): HGHSF-FFSF00-SSSFFSBN
% 0.18/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48  # Starting ho_unfolding_3 with 811s (1) cores
% 0.18/0.48  # Starting post_as_ho1 with 151s (1) cores
% 0.18/0.48  # Preprocessing time       : 0.002 s
% 0.18/0.48  # Presaturation interreduction done
% 0.18/0.48  
% 0.18/0.48  # Proof found!
% 0.18/0.48  # SZS status Theorem
% 0.18/0.48  # SZS output start CNFRefutation
% See solution above
% 0.18/0.48  # Parsed axioms                        : 4
% 0.18/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.48  # Initial clauses                      : 28
% 0.18/0.48  # Removed in clause preprocessing      : 3
% 0.18/0.48  # Initial clauses in saturation        : 25
% 0.18/0.48  # Processed clauses                    : 110
% 0.18/0.48  # ...of these trivial                  : 0
% 0.18/0.48  # ...subsumed                          : 1
% 0.18/0.48  # ...remaining for further processing  : 109
% 0.18/0.48  # Other redundant clauses eliminated   : 0
% 0.18/0.48  # Clauses deleted for lack of memory   : 0
% 0.18/0.48  # Backward-subsumed                    : 55
% 0.18/0.48  # Backward-rewritten                   : 5
% 0.18/0.48  # Generated clauses                    : 65
% 0.18/0.48  # ...of the previous two non-redundant : 61
% 0.18/0.48  # ...aggressively subsumed             : 0
% 0.18/0.48  # Contextual simplify-reflections      : 19
% 0.18/0.48  # Paramodulations                      : 64
% 0.18/0.48  # Factorizations                       : 0
% 0.18/0.48  # NegExts                              : 0
% 0.18/0.48  # Equation resolutions                 : 0
% 0.18/0.48  # Disequality decompositions           : 0
% 0.18/0.48  # Total rewrite steps                  : 22
% 0.18/0.48  # ...of those cached                   : 19
% 0.18/0.48  # Propositional unsat checks           : 0
% 0.18/0.48  #    Propositional check models        : 0
% 0.18/0.48  #    Propositional check unsatisfiable : 0
% 0.18/0.48  #    Propositional clauses             : 0
% 0.18/0.48  #    Propositional clauses after purity: 0
% 0.18/0.48  #    Propositional unsat core size     : 0
% 0.18/0.48  #    Propositional preprocessing time  : 0.000
% 0.18/0.48  #    Propositional encoding time       : 0.000
% 0.18/0.48  #    Propositional solver time         : 0.000
% 0.18/0.48  #    Success case prop preproc time    : 0.000
% 0.18/0.48  #    Success case prop encoding time   : 0.000
% 0.18/0.48  #    Success case prop solver time     : 0.000
% 0.18/0.48  # Current number of processed clauses  : 24
% 0.18/0.48  #    Positive orientable unit clauses  : 4
% 0.18/0.48  #    Positive unorientable unit clauses: 0
% 0.18/0.48  #    Negative unit clauses             : 3
% 0.18/0.48  #    Non-unit-clauses                  : 17
% 0.18/0.48  # Current number of unprocessed clauses: 0
% 0.18/0.48  # ...number of literals in the above   : 0
% 0.18/0.48  # Current number of archived formulas  : 0
% 0.18/0.48  # Current number of archived clauses   : 85
% 0.18/0.48  # Clause-clause subsumption calls (NU) : 1130
% 0.18/0.48  # Rec. Clause-clause subsumption calls : 682
% 0.18/0.48  # Non-unit clause-clause subsumptions  : 67
% 0.18/0.48  # Unit Clause-clause subsumption calls : 31
% 0.18/0.48  # Rewrite failures with RHS unbound    : 0
% 0.18/0.48  # BW rewrite match attempts            : 2
% 0.18/0.48  # BW rewrite match successes           : 2
% 0.18/0.48  # Condensation attempts                : 0
% 0.18/0.48  # Condensation successes               : 0
% 0.18/0.48  # Termbank termtop insertions          : 3626
% 0.18/0.48  # Search garbage collected termcells   : 568
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.010 s
% 0.18/0.48  # System time              : 0.005 s
% 0.18/0.48  # Total time               : 0.015 s
% 0.18/0.48  # Maximum resident set size: 1924 pages
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.050 s
% 0.18/0.48  # System time              : 0.012 s
% 0.18/0.48  # Total time               : 0.063 s
% 0.18/0.48  # Maximum resident set size: 1772 pages
% 0.18/0.48  % E---3.1 exiting
% 0.18/0.48  % E exiting
%------------------------------------------------------------------------------