TSTP Solution File: SEU903^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU903^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:52:07 EDT 2024

% Result   : Theorem 0.09s 0.32s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  102 (   1 unt;  19 typ;   0 def)
%            Number of atoms       :  808 ( 303 equ;   0 cnn)
%            Maximal formula atoms :   48 (   9 avg)
%            Number of connectives : 1277 ( 183   ~; 198   |; 120   &; 711   @)
%                                         (   8 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   74 (  74   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  21 usr;  14 con; 0-2 aty)
%            Number of variables   :  191 (   0   ^ 134   !;  56   ?; 191   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    g: $tType ).

thf(type_def_6,type,
    b: $tType ).

thf(type_def_8,type,
    a: $tType ).

thf(func_def_0,type,
    g: $tType ).

thf(func_def_1,type,
    b: $tType ).

thf(func_def_2,type,
    a: $tType ).

thf(func_def_4,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_7,type,
    sK0: g > g ).

thf(func_def_8,type,
    sK1: g > b ).

thf(func_def_9,type,
    sK2: a > a ).

thf(func_def_10,type,
    sK3: b > a ).

thf(func_def_11,type,
    sK4: g > $o ).

thf(func_def_12,type,
    sK5: a > $o ).

thf(func_def_13,type,
    sK6: b > b ).

thf(func_def_14,type,
    sK7: b > $o ).

thf(func_def_15,type,
    sK8: a ).

thf(func_def_16,type,
    sK9: g ).

thf(func_def_17,type,
    sK10: g ).

thf(func_def_18,type,
    sK11: g ).

thf(f164,plain,
    $false,
    inference(avatar_sat_refutation,[],[f55,f60,f65,f70,f75,f76,f77,f78,f79,f80,f81,f82,f83,f84,f85,f86,f93,f104,f107,f163]) ).

thf(f163,plain,
    ( spl12_6
    | ~ spl12_1 ),
    inference(avatar_split_clause,[],[f162,f40,f62]) ).

thf(f62,plain,
    ( spl12_6
  <=> ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
      = ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

thf(f40,plain,
    ( spl12_1
  <=> ( ( sK4 @ sK11 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

thf(f162,plain,
    ( ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
      = ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) )
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f129,f127]) ).

thf(f127,plain,
    ( ( ( sK6 @ ( sK1 @ sK11 ) )
      = ( sK1 @ ( sK0 @ sK11 ) ) )
    | ~ spl12_1 ),
    inference(trivial_inequality_removal,[],[f124]) ).

thf(f124,plain,
    ( ( $true != $true )
    | ( ( sK6 @ ( sK1 @ sK11 ) )
      = ( sK1 @ ( sK0 @ sK11 ) ) )
    | ~ spl12_1 ),
    inference(superposition,[],[f15,f42]) ).

thf(f42,plain,
    ( ( ( sK4 @ sK11 )
      = $true )
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f15,plain,
    ! [X19: g] :
      ( ( $true
       != ( sK4 @ X19 ) )
      | ( ( sK1 @ ( sK0 @ X19 ) )
        = ( sK6 @ ( sK1 @ X19 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ! [X8: g] :
        ( ( $true
         != ( sK4 @ X8 ) )
        | ( $true
          = ( sK4 @ ( sK0 @ X8 ) ) ) )
    & ! [X9: a] :
        ( ( $true
          = ( sK5 @ ( sK2 @ X9 ) ) )
        | ( $true
         != ( sK5 @ X9 ) ) )
    & ! [X10: b] :
        ( ( ( sK7 @ ( sK6 @ X10 ) )
          = $true )
        | ( $true
         != ( sK7 @ X10 ) ) )
    & ! [X11: g] :
        ( ( $true
         != ( sK4 @ X11 ) )
        | ( $true
          = ( sK7 @ ( sK1 @ X11 ) ) ) )
    & ( ( ( $true
         != ( sK5 @ ( sK2 @ sK8 ) ) )
        & ( ( sK5 @ sK8 )
          = $true ) )
      | ( ( ( sK4 @ sK9 )
          = $true )
        & ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
         != $true ) )
      | ( ( ( sK4 @ ( sK0 @ sK10 ) )
         != $true )
        & ( $true
          = ( sK4 @ sK10 ) ) )
      | ( ( ( sK4 @ sK11 )
          = $true )
        & ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
         != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) ) ) )
    & ! [X16: b] :
        ( ( ( sK3 @ ( sK6 @ X16 ) )
          = ( sK2 @ ( sK3 @ X16 ) ) )
        | ( ( sK7 @ X16 )
         != $true ) )
    & ! [X17: b] :
        ( ( $true
          = ( sK5 @ ( sK3 @ X17 ) ) )
        | ( $true
         != ( sK7 @ X17 ) ) )
    & ! [X18: b] :
        ( ( ( sK7 @ X18 )
         != $true )
        | ( $true
          = ( sK7 @ ( sK6 @ X18 ) ) ) )
    & ! [X19: g] :
        ( ( $true
         != ( sK4 @ X19 ) )
        | ( ( sK1 @ ( sK0 @ X19 ) )
          = ( sK6 @ ( sK1 @ X19 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f8,f13,f12,f11,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: g > g,X1: g > b,X2: a > a,X3: b > a,X4: g > $o,X5: a > $o,X6: b > b,X7: b > $o] :
        ( ! [X8: g] :
            ( ( $true
             != ( X4 @ X8 ) )
            | ( ( X4 @ ( X0 @ X8 ) )
              = $true ) )
        & ! [X9: a] :
            ( ( $true
              = ( X5 @ ( X2 @ X9 ) ) )
            | ( ( X5 @ X9 )
             != $true ) )
        & ! [X10: b] :
            ( ( $true
              = ( X7 @ ( X6 @ X10 ) ) )
            | ( $true
             != ( X7 @ X10 ) ) )
        & ! [X11: g] :
            ( ( ( X4 @ X11 )
             != $true )
            | ( $true
              = ( X7 @ ( X1 @ X11 ) ) ) )
        & ( ? [X12: a] :
              ( ( $true
               != ( X5 @ ( X2 @ X12 ) ) )
              & ( ( X5 @ X12 )
                = $true ) )
          | ? [X13: g] :
              ( ( ( X4 @ X13 )
                = $true )
              & ( $true
               != ( X5 @ ( X3 @ ( X1 @ X13 ) ) ) ) )
          | ? [X14: g] :
              ( ( $true
               != ( X4 @ ( X0 @ X14 ) ) )
              & ( $true
                = ( X4 @ X14 ) ) )
          | ? [X15: g] :
              ( ( $true
                = ( X4 @ X15 ) )
              & ( ( X3 @ ( X1 @ ( X0 @ X15 ) ) )
               != ( X2 @ ( X3 @ ( X1 @ X15 ) ) ) ) ) )
        & ! [X16: b] :
            ( ( ( X2 @ ( X3 @ X16 ) )
              = ( X3 @ ( X6 @ X16 ) ) )
            | ( ( X7 @ X16 )
             != $true ) )
        & ! [X17: b] :
            ( ( $true
              = ( X5 @ ( X3 @ X17 ) ) )
            | ( $true
             != ( X7 @ X17 ) ) )
        & ! [X18: b] :
            ( ( ( X7 @ X18 )
             != $true )
            | ( $true
              = ( X7 @ ( X6 @ X18 ) ) ) )
        & ! [X19: g] :
            ( ( ( X4 @ X19 )
             != $true )
            | ( ( X1 @ ( X0 @ X19 ) )
              = ( X6 @ ( X1 @ X19 ) ) ) ) )
   => ( ! [X8: g] :
          ( ( $true
           != ( sK4 @ X8 ) )
          | ( $true
            = ( sK4 @ ( sK0 @ X8 ) ) ) )
      & ! [X9: a] :
          ( ( $true
            = ( sK5 @ ( sK2 @ X9 ) ) )
          | ( $true
           != ( sK5 @ X9 ) ) )
      & ! [X10: b] :
          ( ( ( sK7 @ ( sK6 @ X10 ) )
            = $true )
          | ( $true
           != ( sK7 @ X10 ) ) )
      & ! [X11: g] :
          ( ( $true
           != ( sK4 @ X11 ) )
          | ( $true
            = ( sK7 @ ( sK1 @ X11 ) ) ) )
      & ( ? [X12: a] :
            ( ( $true
             != ( sK5 @ ( sK2 @ X12 ) ) )
            & ( ( sK5 @ X12 )
              = $true ) )
        | ? [X13: g] :
            ( ( $true
              = ( sK4 @ X13 ) )
            & ( $true
             != ( sK5 @ ( sK3 @ ( sK1 @ X13 ) ) ) ) )
        | ? [X14: g] :
            ( ( ( sK4 @ ( sK0 @ X14 ) )
             != $true )
            & ( ( sK4 @ X14 )
              = $true ) )
        | ? [X15: g] :
            ( ( $true
              = ( sK4 @ X15 ) )
            & ( ( sK2 @ ( sK3 @ ( sK1 @ X15 ) ) )
             != ( sK3 @ ( sK1 @ ( sK0 @ X15 ) ) ) ) ) )
      & ! [X16: b] :
          ( ( ( sK3 @ ( sK6 @ X16 ) )
            = ( sK2 @ ( sK3 @ X16 ) ) )
          | ( ( sK7 @ X16 )
           != $true ) )
      & ! [X17: b] :
          ( ( $true
            = ( sK5 @ ( sK3 @ X17 ) ) )
          | ( $true
           != ( sK7 @ X17 ) ) )
      & ! [X18: b] :
          ( ( ( sK7 @ X18 )
           != $true )
          | ( $true
            = ( sK7 @ ( sK6 @ X18 ) ) ) )
      & ! [X19: g] :
          ( ( $true
           != ( sK4 @ X19 ) )
          | ( ( sK1 @ ( sK0 @ X19 ) )
            = ( sK6 @ ( sK1 @ X19 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X12: a] :
        ( ( $true
         != ( sK5 @ ( sK2 @ X12 ) ) )
        & ( ( sK5 @ X12 )
          = $true ) )
   => ( ( $true
       != ( sK5 @ ( sK2 @ sK8 ) ) )
      & ( ( sK5 @ sK8 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X13: g] :
        ( ( $true
          = ( sK4 @ X13 ) )
        & ( $true
         != ( sK5 @ ( sK3 @ ( sK1 @ X13 ) ) ) ) )
   => ( ( ( sK4 @ sK9 )
        = $true )
      & ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ( ? [X14: g] :
        ( ( ( sK4 @ ( sK0 @ X14 ) )
         != $true )
        & ( ( sK4 @ X14 )
          = $true ) )
   => ( ( ( sK4 @ ( sK0 @ sK10 ) )
       != $true )
      & ( $true
        = ( sK4 @ sK10 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ( ? [X15: g] :
        ( ( $true
          = ( sK4 @ X15 ) )
        & ( ( sK2 @ ( sK3 @ ( sK1 @ X15 ) ) )
         != ( sK3 @ ( sK1 @ ( sK0 @ X15 ) ) ) ) )
   => ( ( ( sK4 @ sK11 )
        = $true )
      & ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
       != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: g > g,X1: g > b,X2: a > a,X3: b > a,X4: g > $o,X5: a > $o,X6: b > b,X7: b > $o] :
      ( ! [X8: g] :
          ( ( $true
           != ( X4 @ X8 ) )
          | ( ( X4 @ ( X0 @ X8 ) )
            = $true ) )
      & ! [X9: a] :
          ( ( $true
            = ( X5 @ ( X2 @ X9 ) ) )
          | ( ( X5 @ X9 )
           != $true ) )
      & ! [X10: b] :
          ( ( $true
            = ( X7 @ ( X6 @ X10 ) ) )
          | ( $true
           != ( X7 @ X10 ) ) )
      & ! [X11: g] :
          ( ( ( X4 @ X11 )
           != $true )
          | ( $true
            = ( X7 @ ( X1 @ X11 ) ) ) )
      & ( ? [X12: a] :
            ( ( $true
             != ( X5 @ ( X2 @ X12 ) ) )
            & ( ( X5 @ X12 )
              = $true ) )
        | ? [X13: g] :
            ( ( ( X4 @ X13 )
              = $true )
            & ( $true
             != ( X5 @ ( X3 @ ( X1 @ X13 ) ) ) ) )
        | ? [X14: g] :
            ( ( $true
             != ( X4 @ ( X0 @ X14 ) ) )
            & ( $true
              = ( X4 @ X14 ) ) )
        | ? [X15: g] :
            ( ( $true
              = ( X4 @ X15 ) )
            & ( ( X3 @ ( X1 @ ( X0 @ X15 ) ) )
             != ( X2 @ ( X3 @ ( X1 @ X15 ) ) ) ) ) )
      & ! [X16: b] :
          ( ( ( X2 @ ( X3 @ X16 ) )
            = ( X3 @ ( X6 @ X16 ) ) )
          | ( ( X7 @ X16 )
           != $true ) )
      & ! [X17: b] :
          ( ( $true
            = ( X5 @ ( X3 @ X17 ) ) )
          | ( $true
           != ( X7 @ X17 ) ) )
      & ! [X18: b] :
          ( ( ( X7 @ X18 )
           != $true )
          | ( $true
            = ( X7 @ ( X6 @ X18 ) ) ) )
      & ! [X19: g] :
          ( ( ( X4 @ X19 )
           != $true )
          | ( ( X1 @ ( X0 @ X19 ) )
            = ( X6 @ ( X1 @ X19 ) ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ? [X0: g > g,X1: g > b,X4: a > a,X5: b > a,X3: g > $o,X6: a > $o,X2: b > b,X7: b > $o] :
      ( ! [X13: g] :
          ( ( $true
           != ( X3 @ X13 ) )
          | ( $true
            = ( X3 @ ( X0 @ X13 ) ) ) )
      & ! [X9: a] :
          ( ( $true
            = ( X6 @ ( X4 @ X9 ) ) )
          | ( $true
           != ( X6 @ X9 ) ) )
      & ! [X10: b] :
          ( ( ( X7 @ ( X2 @ X10 ) )
            = $true )
          | ( $true
           != ( X7 @ X10 ) ) )
      & ! [X15: g] :
          ( ( $true
           != ( X3 @ X15 ) )
          | ( ( X7 @ ( X1 @ X15 ) )
            = $true ) )
      & ( ? [X16: a] :
            ( ( $true
             != ( X6 @ ( X4 @ X16 ) ) )
            & ( ( X6 @ X16 )
              = $true ) )
        | ? [X17: g] :
            ( ( $true
              = ( X3 @ X17 ) )
            & ( ( X6 @ ( X5 @ ( X1 @ X17 ) ) )
             != $true ) )
        | ? [X19: g] :
            ( ( $true
             != ( X3 @ ( X0 @ X19 ) ) )
            & ( $true
              = ( X3 @ X19 ) ) )
        | ? [X18: g] :
            ( ( ( X3 @ X18 )
              = $true )
            & ( ( X5 @ ( X1 @ ( X0 @ X18 ) ) )
             != ( X4 @ ( X5 @ ( X1 @ X18 ) ) ) ) ) )
      & ! [X11: b] :
          ( ( ( X5 @ ( X2 @ X11 ) )
            = ( X4 @ ( X5 @ X11 ) ) )
          | ( $true
           != ( X7 @ X11 ) ) )
      & ! [X14: b] :
          ( ( ( X6 @ ( X5 @ X14 ) )
            = $true )
          | ( $true
           != ( X7 @ X14 ) ) )
      & ! [X8: b] :
          ( ( $true
           != ( X7 @ X8 ) )
          | ( ( X7 @ ( X2 @ X8 ) )
            = $true ) )
      & ! [X12: g] :
          ( ( $true
           != ( X3 @ X12 ) )
          | ( ( X1 @ ( X0 @ X12 ) )
            = ( X2 @ ( X1 @ X12 ) ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ? [X3: g > $o,X6: a > $o,X1: g > b,X5: b > a,X2: b > b,X0: g > g,X7: b > $o,X4: a > a] :
      ( ( ? [X16: a] :
            ( ( $true
             != ( X6 @ ( X4 @ X16 ) ) )
            & ( ( X6 @ X16 )
              = $true ) )
        | ? [X17: g] :
            ( ( $true
              = ( X3 @ X17 ) )
            & ( ( X6 @ ( X5 @ ( X1 @ X17 ) ) )
             != $true ) )
        | ? [X19: g] :
            ( ( $true
             != ( X3 @ ( X0 @ X19 ) ) )
            & ( $true
              = ( X3 @ X19 ) ) )
        | ? [X18: g] :
            ( ( ( X3 @ X18 )
              = $true )
            & ( ( X5 @ ( X1 @ ( X0 @ X18 ) ) )
             != ( X4 @ ( X5 @ ( X1 @ X18 ) ) ) ) ) )
      & ! [X15: g] :
          ( ( $true
           != ( X3 @ X15 ) )
          | ( ( X7 @ ( X1 @ X15 ) )
            = $true ) )
      & ! [X8: b] :
          ( ( $true
           != ( X7 @ X8 ) )
          | ( ( X7 @ ( X2 @ X8 ) )
            = $true ) )
      & ! [X13: g] :
          ( ( $true
           != ( X3 @ X13 ) )
          | ( $true
            = ( X3 @ ( X0 @ X13 ) ) ) )
      & ! [X14: b] :
          ( ( ( X6 @ ( X5 @ X14 ) )
            = $true )
          | ( $true
           != ( X7 @ X14 ) ) )
      & ! [X10: b] :
          ( ( ( X7 @ ( X2 @ X10 ) )
            = $true )
          | ( $true
           != ( X7 @ X10 ) ) )
      & ! [X11: b] :
          ( ( ( X5 @ ( X2 @ X11 ) )
            = ( X4 @ ( X5 @ X11 ) ) )
          | ( $true
           != ( X7 @ X11 ) ) )
      & ! [X12: g] :
          ( ( $true
           != ( X3 @ X12 ) )
          | ( ( X1 @ ( X0 @ X12 ) )
            = ( X2 @ ( X1 @ X12 ) ) ) )
      & ! [X9: a] :
          ( ( $true
            = ( X6 @ ( X4 @ X9 ) ) )
          | ( $true
           != ( X6 @ X9 ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X3: g > $o,X6: a > $o,X1: g > b,X5: b > a,X2: b > b,X0: g > g,X7: b > $o,X4: a > a] :
        ( ( ! [X15: g] :
              ( ( $true
                = ( X3 @ X15 ) )
             => ( ( X7 @ ( X1 @ X15 ) )
                = $true ) )
          & ! [X8: b] :
              ( ( $true
                = ( X7 @ X8 ) )
             => ( ( X7 @ ( X2 @ X8 ) )
                = $true ) )
          & ! [X13: g] :
              ( ( $true
                = ( X3 @ X13 ) )
             => ( $true
                = ( X3 @ ( X0 @ X13 ) ) ) )
          & ! [X14: b] :
              ( ( $true
                = ( X7 @ X14 ) )
             => ( ( X6 @ ( X5 @ X14 ) )
                = $true ) )
          & ! [X10: b] :
              ( ( $true
                = ( X7 @ X10 ) )
             => ( ( X7 @ ( X2 @ X10 ) )
                = $true ) )
          & ! [X11: b] :
              ( ( $true
                = ( X7 @ X11 ) )
             => ( ( X5 @ ( X2 @ X11 ) )
                = ( X4 @ ( X5 @ X11 ) ) ) )
          & ! [X12: g] :
              ( ( $true
                = ( X3 @ X12 ) )
             => ( ( X1 @ ( X0 @ X12 ) )
                = ( X2 @ ( X1 @ X12 ) ) ) )
          & ! [X9: a] :
              ( ( $true
                = ( X6 @ X9 ) )
             => ( $true
                = ( X6 @ ( X4 @ X9 ) ) ) ) )
       => ( ! [X16: a] :
              ( ( ( X6 @ X16 )
                = $true )
             => ( $true
                = ( X6 @ ( X4 @ X16 ) ) ) )
          & ! [X19: g] :
              ( ( $true
                = ( X3 @ X19 ) )
             => ( $true
                = ( X3 @ ( X0 @ X19 ) ) ) )
          & ! [X18: g] :
              ( ( ( X3 @ X18 )
                = $true )
             => ( ( X5 @ ( X1 @ ( X0 @ X18 ) ) )
                = ( X4 @ ( X5 @ ( X1 @ X18 ) ) ) ) )
          & ! [X17: g] :
              ( ( $true
                = ( X3 @ X17 ) )
             => ( ( X6 @ ( X5 @ ( X1 @ X17 ) ) )
                = $true ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: g > g,X1: g > b,X2: b > b,X3: g > $o,X4: a > a,X5: b > a,X6: a > $o,X7: b > $o] :
        ( ( ! [X8: b] :
              ( ( X7 @ X8 )
             => ( X7 @ ( X2 @ X8 ) ) )
          & ! [X9: a] :
              ( ( X6 @ X9 )
             => ( X6 @ ( X4 @ X9 ) ) )
          & ! [X10: b] :
              ( ( X7 @ X10 )
             => ( X7 @ ( X2 @ X10 ) ) )
          & ! [X11: b] :
              ( ( X7 @ X11 )
             => ( ( X5 @ ( X2 @ X11 ) )
                = ( X4 @ ( X5 @ X11 ) ) ) )
          & ! [X12: g] :
              ( ( X3 @ X12 )
             => ( ( X1 @ ( X0 @ X12 ) )
                = ( X2 @ ( X1 @ X12 ) ) ) )
          & ! [X13: g] :
              ( ( X3 @ X13 )
             => ( X3 @ ( X0 @ X13 ) ) )
          & ! [X14: b] :
              ( ( X7 @ X14 )
             => ( X6 @ ( X5 @ X14 ) ) )
          & ! [X15: g] :
              ( ( X3 @ X15 )
             => ( X7 @ ( X1 @ X15 ) ) ) )
       => ( ! [X16: a] :
              ( ( X6 @ X16 )
             => ( X6 @ ( X4 @ X16 ) ) )
          & ! [X17: g] :
              ( ( X3 @ X17 )
             => ( X6 @ ( X5 @ ( X1 @ X17 ) ) ) )
          & ! [X18: g] :
              ( ( X3 @ X18 )
             => ( ( X5 @ ( X1 @ ( X0 @ X18 ) ) )
                = ( X4 @ ( X5 @ ( X1 @ X18 ) ) ) ) )
          & ! [X19: g] :
              ( ( X3 @ X19 )
             => ( X3 @ ( X0 @ X19 ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X3: g > g,X0: g > b,X5: b > b,X2: g > $o,X7: a > a,X1: b > a,X6: a > $o,X4: b > $o] :
        ( ( ! [X8: b] :
              ( ( X4 @ X8 )
             => ( X4 @ ( X5 @ X8 ) ) )
          & ! [X8: a] :
              ( ( X6 @ X8 )
             => ( X6 @ ( X7 @ X8 ) ) )
          & ! [X8: b] :
              ( ( X4 @ X8 )
             => ( X4 @ ( X5 @ X8 ) ) )
          & ! [X8: b] :
              ( ( X4 @ X8 )
             => ( ( X1 @ ( X5 @ X8 ) )
                = ( X7 @ ( X1 @ X8 ) ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( ( X0 @ ( X3 @ X8 ) )
                = ( X5 @ ( X0 @ X8 ) ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X2 @ ( X3 @ X8 ) ) )
          & ! [X8: b] :
              ( ( X4 @ X8 )
             => ( X6 @ ( X1 @ X8 ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X4 @ ( X0 @ X8 ) ) ) )
       => ( ! [X8: a] :
              ( ( X6 @ X8 )
             => ( X6 @ ( X7 @ X8 ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( ( X1 @ ( X0 @ ( X3 @ X8 ) ) )
                = ( X7 @ ( X1 @ ( X0 @ X8 ) ) ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X2 @ ( X3 @ X8 ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X3: g > g,X0: g > b,X5: b > b,X2: g > $o,X7: a > a,X1: b > a,X6: a > $o,X4: b > $o] :
      ( ( ! [X8: b] :
            ( ( X4 @ X8 )
           => ( X4 @ ( X5 @ X8 ) ) )
        & ! [X8: a] :
            ( ( X6 @ X8 )
           => ( X6 @ ( X7 @ X8 ) ) )
        & ! [X8: b] :
            ( ( X4 @ X8 )
           => ( X4 @ ( X5 @ X8 ) ) )
        & ! [X8: b] :
            ( ( X4 @ X8 )
           => ( ( X1 @ ( X5 @ X8 ) )
              = ( X7 @ ( X1 @ X8 ) ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( ( X0 @ ( X3 @ X8 ) )
              = ( X5 @ ( X0 @ X8 ) ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X2 @ ( X3 @ X8 ) ) )
        & ! [X8: b] :
            ( ( X4 @ X8 )
           => ( X6 @ ( X1 @ X8 ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X4 @ ( X0 @ X8 ) ) ) )
     => ( ! [X8: a] :
            ( ( X6 @ X8 )
           => ( X6 @ ( X7 @ X8 ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( ( X1 @ ( X0 @ ( X3 @ X8 ) ) )
              = ( X7 @ ( X1 @ ( X0 @ X8 ) ) ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X2 @ ( X3 @ X8 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM131_pme) ).

thf(f129,plain,
    ( ( ( sK3 @ ( sK6 @ ( sK1 @ sK11 ) ) )
      = ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) )
    | ~ spl12_1 ),
    inference(trivial_inequality_removal,[],[f128]) ).

thf(f128,plain,
    ( ( ( sK3 @ ( sK6 @ ( sK1 @ sK11 ) ) )
      = ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) )
    | ( $true != $true )
    | ~ spl12_1 ),
    inference(superposition,[],[f18,f110]) ).

thf(f110,plain,
    ( ( $true
      = ( sK7 @ ( sK1 @ sK11 ) ) )
    | ~ spl12_1 ),
    inference(trivial_inequality_removal,[],[f109]) ).

thf(f109,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK7 @ ( sK1 @ sK11 ) ) )
    | ~ spl12_1 ),
    inference(superposition,[],[f35,f42]) ).

thf(f35,plain,
    ! [X11: g] :
      ( ( $true
       != ( sK4 @ X11 ) )
      | ( $true
        = ( sK7 @ ( sK1 @ X11 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f18,plain,
    ! [X16: b] :
      ( ( ( sK7 @ X16 )
       != $true )
      | ( ( sK3 @ ( sK6 @ X16 ) )
        = ( sK2 @ ( sK3 @ X16 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f107,plain,
    ( spl12_2
    | ~ spl12_8 ),
    inference(avatar_split_clause,[],[f106,f72,f44]) ).

thf(f44,plain,
    ( spl12_2
  <=> ( $true
      = ( sK5 @ ( sK2 @ sK8 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

thf(f72,plain,
    ( spl12_8
  <=> ( ( sK5 @ sK8 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).

thf(f106,plain,
    ( ( $true
      = ( sK5 @ ( sK2 @ sK8 ) ) )
    | ~ spl12_8 ),
    inference(trivial_inequality_removal,[],[f105]) ).

thf(f105,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK5 @ ( sK2 @ sK8 ) ) )
    | ~ spl12_8 ),
    inference(superposition,[],[f37,f74]) ).

thf(f74,plain,
    ( ( ( sK5 @ sK8 )
      = $true )
    | ~ spl12_8 ),
    inference(avatar_component_clause,[],[f72]) ).

thf(f37,plain,
    ! [X9: a] :
      ( ( $true
       != ( sK5 @ X9 ) )
      | ( $true
        = ( sK5 @ ( sK2 @ X9 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f104,plain,
    ( spl12_5
    | ~ spl12_4 ),
    inference(avatar_split_clause,[],[f103,f52,f57]) ).

thf(f57,plain,
    ( spl12_5
  <=> ( ( sK4 @ ( sK0 @ sK10 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

thf(f52,plain,
    ( spl12_4
  <=> ( $true
      = ( sK4 @ sK10 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

thf(f103,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
      = $true )
    | ~ spl12_4 ),
    inference(trivial_inequality_removal,[],[f102]) ).

thf(f102,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
      = $true )
    | ( $true != $true )
    | ~ spl12_4 ),
    inference(superposition,[],[f38,f54]) ).

thf(f54,plain,
    ( ( $true
      = ( sK4 @ sK10 ) )
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f52]) ).

thf(f38,plain,
    ! [X8: g] :
      ( ( $true
       != ( sK4 @ X8 ) )
      | ( $true
        = ( sK4 @ ( sK0 @ X8 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f93,plain,
    ( spl12_7
    | ~ spl12_3 ),
    inference(avatar_split_clause,[],[f91,f48,f67]) ).

thf(f67,plain,
    ( spl12_7
  <=> ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

thf(f48,plain,
    ( spl12_3
  <=> ( ( sK4 @ sK9 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

thf(f91,plain,
    ( ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
      = $true )
    | ~ spl12_3 ),
    inference(trivial_inequality_removal,[],[f89]) ).

thf(f89,plain,
    ( ( $true != $true )
    | ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
      = $true )
    | ~ spl12_3 ),
    inference(superposition,[],[f17,f88]) ).

thf(f88,plain,
    ( ( $true
      = ( sK7 @ ( sK1 @ sK9 ) ) )
    | ~ spl12_3 ),
    inference(trivial_inequality_removal,[],[f87]) ).

thf(f87,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK7 @ ( sK1 @ sK9 ) ) )
    | ~ spl12_3 ),
    inference(superposition,[],[f35,f50]) ).

thf(f50,plain,
    ( ( ( sK4 @ sK9 )
      = $true )
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f17,plain,
    ! [X17: b] :
      ( ( $true
       != ( sK7 @ X17 ) )
      | ( $true
        = ( sK5 @ ( sK3 @ X17 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f86,plain,
    ( spl12_8
    | spl12_3
    | spl12_1
    | spl12_4 ),
    inference(avatar_split_clause,[],[f24,f52,f40,f48,f72]) ).

thf(f24,plain,
    ( ( $true
      = ( sK4 @ sK10 ) )
    | ( ( sK4 @ sK9 )
      = $true )
    | ( ( sK4 @ sK11 )
      = $true )
    | ( ( sK5 @ sK8 )
      = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f85,plain,
    ( ~ spl12_6
    | ~ spl12_2
    | spl12_4
    | spl12_3 ),
    inference(avatar_split_clause,[],[f31,f48,f52,f44,f62]) ).

thf(f31,plain,
    ( ( $true
      = ( sK4 @ sK10 ) )
    | ( ( sK4 @ sK9 )
      = $true )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) )
    | ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f84,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | spl12_1
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f30,f67,f40,f57,f44]) ).

thf(f30,plain,
    ( ( ( sK4 @ sK11 )
      = $true )
    | ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) )
    | ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f83,plain,
    ( ~ spl12_5
    | spl12_1
    | spl12_3
    | spl12_8 ),
    inference(avatar_split_clause,[],[f26,f72,f48,f40,f57]) ).

thf(f26,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true )
    | ( ( sK5 @ sK8 )
      = $true )
    | ( ( sK4 @ sK9 )
      = $true )
    | ( ( sK4 @ sK11 )
      = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f82,plain,
    ( spl12_4
    | spl12_1
    | ~ spl12_2
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f28,f67,f44,f40,f52]) ).

thf(f28,plain,
    ( ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true )
    | ( $true
      = ( sK4 @ sK10 ) )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) )
    | ( ( sK4 @ sK11 )
      = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f81,plain,
    ( ~ spl12_5
    | spl12_8
    | spl12_1
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f22,f67,f40,f72,f57]) ).

thf(f22,plain,
    ( ( ( sK5 @ sK8 )
      = $true )
    | ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true )
    | ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true )
    | ( ( sK4 @ sK11 )
      = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f80,plain,
    ( ~ spl12_7
    | spl12_4
    | spl12_1
    | spl12_8 ),
    inference(avatar_split_clause,[],[f20,f72,f40,f52,f67]) ).

thf(f20,plain,
    ( ( $true
      = ( sK4 @ sK10 ) )
    | ( ( sK4 @ sK11 )
      = $true )
    | ( ( sK5 @ sK8 )
      = $true )
    | ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f79,plain,
    ( spl12_8
    | ~ spl12_6
    | ~ spl12_5
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f21,f67,f57,f62,f72]) ).

thf(f21,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true )
    | ( ( sK5 @ sK8 )
      = $true )
    | ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true )
    | ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f78,plain,
    ( ~ spl12_5
    | ~ spl12_6
    | spl12_8
    | spl12_3 ),
    inference(avatar_split_clause,[],[f25,f48,f72,f62,f57]) ).

thf(f25,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true )
    | ( ( sK5 @ sK8 )
      = $true )
    | ( ( sK4 @ sK9 )
      = $true )
    | ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f77,plain,
    ( ~ spl12_7
    | ~ spl12_6
    | ~ spl12_2
    | spl12_4 ),
    inference(avatar_split_clause,[],[f27,f52,f44,f62,f67]) ).

thf(f27,plain,
    ( ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true )
    | ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) )
    | ( $true
      = ( sK4 @ sK10 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f76,plain,
    ( spl12_3
    | spl12_4
    | ~ spl12_6
    | spl12_8 ),
    inference(avatar_split_clause,[],[f23,f72,f62,f52,f48]) ).

thf(f23,plain,
    ( ( $true
      = ( sK4 @ sK10 ) )
    | ( ( sK5 @ sK8 )
      = $true )
    | ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) )
    | ( ( sK4 @ sK9 )
      = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f75,plain,
    ( spl12_4
    | ~ spl12_7
    | ~ spl12_6
    | spl12_8 ),
    inference(avatar_split_clause,[],[f19,f72,f62,f67,f52]) ).

thf(f19,plain,
    ( ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) )
    | ( ( sK5 @ sK8 )
      = $true )
    | ( $true
      = ( sK4 @ sK10 ) )
    | ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f70,plain,
    ( ~ spl12_6
    | ~ spl12_5
    | ~ spl12_7
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f29,f44,f67,f57,f62]) ).

thf(f29,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) )
    | ( ( sK5 @ ( sK3 @ ( sK1 @ sK9 ) ) )
     != $true )
    | ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f65,plain,
    ( ~ spl12_6
    | ~ spl12_2
    | spl12_3
    | ~ spl12_5 ),
    inference(avatar_split_clause,[],[f33,f57,f48,f44,f62]) ).

thf(f33,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true )
    | ( ( sK3 @ ( sK1 @ ( sK0 @ sK11 ) ) )
     != ( sK2 @ ( sK3 @ ( sK1 @ sK11 ) ) ) )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) )
    | ( ( sK4 @ sK9 )
      = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f60,plain,
    ( ~ spl12_2
    | ~ spl12_5
    | spl12_1
    | spl12_3 ),
    inference(avatar_split_clause,[],[f34,f48,f40,f57,f44]) ).

thf(f34,plain,
    ( ( ( sK4 @ ( sK0 @ sK10 ) )
     != $true )
    | ( ( sK4 @ sK9 )
      = $true )
    | ( ( sK4 @ sK11 )
      = $true )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f55,plain,
    ( spl12_1
    | ~ spl12_2
    | spl12_3
    | spl12_4 ),
    inference(avatar_split_clause,[],[f32,f52,f48,f44,f40]) ).

thf(f32,plain,
    ( ( $true
      = ( sK4 @ sK10 ) )
    | ( ( sK4 @ sK9 )
      = $true )
    | ( ( sK4 @ sK11 )
      = $true )
    | ( $true
     != ( sK5 @ ( sK2 @ sK8 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SEU903^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.29  % Computer : n017.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 16:52:22 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a TH0_THM_EQU_NAR problem
% 0.09/0.30  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31  % (2475)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.09/0.31  % (2477)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.09/0.31  % (2476)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.09/0.31  % (2479)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.09/0.31  % (2479)Instruction limit reached!
% 0.09/0.31  % (2479)------------------------------
% 0.09/0.31  % (2479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31  % (2479)Termination reason: Unknown
% 0.09/0.31  % (2479)Termination phase: Saturation
% 0.09/0.31  
% 0.09/0.31  % (2479)Memory used [KB]: 1023
% 0.09/0.31  % (2479)Time elapsed: 0.002 s
% 0.09/0.31  % (2479)Instructions burned: 4 (million)
% 0.09/0.31  % (2479)------------------------------
% 0.09/0.31  % (2479)------------------------------
% 0.09/0.31  % (2476)Instruction limit reached!
% 0.09/0.31  % (2476)------------------------------
% 0.09/0.31  % (2476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31  % (2476)Termination reason: Unknown
% 0.09/0.31  % (2476)Termination phase: Saturation
% 0.09/0.31  
% 0.09/0.31  % (2476)Memory used [KB]: 5500
% 0.09/0.31  % (2476)Time elapsed: 0.003 s
% 0.09/0.31  % (2476)Instructions burned: 5 (million)
% 0.09/0.31  % (2476)------------------------------
% 0.09/0.31  % (2476)------------------------------
% 0.09/0.31  % (2482)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.09/0.31  % (2481)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.09/0.31  % (2482)Instruction limit reached!
% 0.09/0.31  % (2482)------------------------------
% 0.09/0.31  % (2482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.31  % (2482)Termination reason: Unknown
% 0.09/0.31  % (2482)Termination phase: Saturation
% 0.09/0.31  
% 0.09/0.31  % (2482)Memory used [KB]: 5500
% 0.09/0.31  % (2482)Time elapsed: 0.003 s
% 0.09/0.31  % (2482)Instructions burned: 4 (million)
% 0.09/0.31  % (2482)------------------------------
% 0.09/0.31  % (2482)------------------------------
% 0.09/0.31  % (2477)First to succeed.
% 0.09/0.32  % (2477)Refutation found. Thanks to Tanya!
% 0.09/0.32  % SZS status Theorem for theBenchmark
% 0.09/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.32  % (2477)------------------------------
% 0.09/0.32  % (2477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.32  % (2477)Termination reason: Refutation
% 0.09/0.32  
% 0.09/0.32  % (2477)Memory used [KB]: 5756
% 0.09/0.32  % (2477)Time elapsed: 0.009 s
% 0.09/0.32  % (2477)Instructions burned: 16 (million)
% 0.09/0.32  % (2477)------------------------------
% 0.09/0.32  % (2477)------------------------------
% 0.09/0.32  % (2474)Success in time 0.007 s
% 0.09/0.32  % Vampire---4.8 exiting
%------------------------------------------------------------------------------