TSTP Solution File: SEU853^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU853^5 : 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 : n010.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 03:51:56 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   54 (   1 unt;   7 typ;   0 def)
%            Number of atoms       :  563 ( 212 equ;   0 cnn)
%            Maximal formula atoms :   36 (  11 avg)
%            Number of connectives :  616 ( 132   ~; 118   |;  82   &; 243   @)
%                                         (  11 <=>;  28  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :  107 (   0   ^  77   !;  30   ?; 107   :)

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

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

thf(func_def_4,type,
    sK0: a > $o ).

thf(func_def_5,type,
    sK1: a > $o ).

thf(func_def_6,type,
    sK2: a > $o ).

thf(func_def_7,type,
    sK3: a ).

thf(func_def_8,type,
    sK4: a ).

thf(f73,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f59,f60,f61,f63,f69,f70,f72]) ).

thf(f72,plain,
    ( spl5_2
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f71,f30,f33]) ).

thf(f33,plain,
    ( spl5_2
  <=> ! [X6: a] :
        ( ( $true
         != ( sK1 @ X6 ) )
        | ( ( sK2 @ X6 )
          = $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

thf(f30,plain,
    ( spl5_1
  <=> ! [X5: a] :
        ( ( ( sK2 @ X5 )
          = $true )
        | ( $true
         != ( sK1 @ X5 ) )
        | ( $true
         != ( sK0 @ X5 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

thf(f71,plain,
    ( ! [X5: a] :
        ( ( ( sK2 @ X5 )
          = $true )
        | ( $true
         != ( sK1 @ X5 ) ) )
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f31,f17]) ).

thf(f17,plain,
    ! [X7: a] :
      ( ( ( sK0 @ X7 )
        = $true )
      | ( ( sK1 @ X7 )
       != $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f15,plain,
    ( ( ( ( ( sK2 @ sK3 )
         != $true )
        & ( $true
          = ( sK0 @ sK3 ) )
        & ( $true
          = ( sK1 @ sK3 ) )
        & ( ( $true
           != ( sK0 @ sK3 ) )
          | ( $true
            = ( sK1 @ sK3 ) ) ) )
      | ( ( $true
          = ( sK1 @ sK4 ) )
        & ( $true
         != ( sK2 @ sK4 ) ) ) )
    & ( ! [X5: a] :
          ( ( ( sK2 @ X5 )
            = $true )
          | ( $true
           != ( sK0 @ X5 ) )
          | ( $true
           != ( sK1 @ X5 ) )
          | ( ( $true
              = ( sK0 @ X5 ) )
            & ( $true
             != ( sK1 @ X5 ) ) ) )
      | ! [X6: a] :
          ( ( $true
           != ( sK1 @ X6 ) )
          | ( ( sK2 @ X6 )
            = $true ) ) )
    & ! [X7: a] :
        ( ( ( sK0 @ X7 )
          = $true )
        | ( ( sK1 @ X7 )
         != $true ) )
    & ! [X8: a] :
        ( ( $true
          = ( sK0 @ X8 ) )
        | ( $true
         != ( sK2 @ X8 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f11,f14,f13,f12]) ).

thf(f12,plain,
    ( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ? [X3: a] :
              ( ( ( X2 @ X3 )
               != $true )
              & ( ( X0 @ X3 )
                = $true )
              & ( ( X1 @ X3 )
                = $true )
              & ( ( ( X0 @ X3 )
                 != $true )
                | ( ( X1 @ X3 )
                  = $true ) ) )
          | ? [X4: a] :
              ( ( ( X1 @ X4 )
                = $true )
              & ( ( X2 @ X4 )
               != $true ) ) )
        & ( ! [X5: a] :
              ( ( ( X2 @ X5 )
                = $true )
              | ( ( X0 @ X5 )
               != $true )
              | ( $true
               != ( X1 @ X5 ) )
              | ( ( ( X0 @ X5 )
                  = $true )
                & ( $true
                 != ( X1 @ X5 ) ) ) )
          | ! [X6: a] :
              ( ( ( X1 @ X6 )
               != $true )
              | ( ( X2 @ X6 )
                = $true ) ) )
        & ! [X7: a] :
            ( ( $true
              = ( X0 @ X7 ) )
            | ( ( X1 @ X7 )
             != $true ) )
        & ! [X8: a] :
            ( ( $true
              = ( X0 @ X8 ) )
            | ( ( X2 @ X8 )
             != $true ) ) )
   => ( ( ? [X3: a] :
            ( ( $true
             != ( sK2 @ X3 ) )
            & ( $true
              = ( sK0 @ X3 ) )
            & ( ( sK1 @ X3 )
              = $true )
            & ( ( $true
               != ( sK0 @ X3 ) )
              | ( ( sK1 @ X3 )
                = $true ) ) )
        | ? [X4: a] :
            ( ( $true
              = ( sK1 @ X4 ) )
            & ( ( sK2 @ X4 )
             != $true ) ) )
      & ( ! [X5: a] :
            ( ( ( sK2 @ X5 )
              = $true )
            | ( $true
             != ( sK0 @ X5 ) )
            | ( $true
             != ( sK1 @ X5 ) )
            | ( ( $true
                = ( sK0 @ X5 ) )
              & ( $true
               != ( sK1 @ X5 ) ) ) )
        | ! [X6: a] :
            ( ( $true
             != ( sK1 @ X6 ) )
            | ( ( sK2 @ X6 )
              = $true ) ) )
      & ! [X7: a] :
          ( ( ( sK0 @ X7 )
            = $true )
          | ( ( sK1 @ X7 )
           != $true ) )
      & ! [X8: a] :
          ( ( $true
            = ( sK0 @ X8 ) )
          | ( $true
           != ( sK2 @ X8 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ( ? [X3: a] :
        ( ( $true
         != ( sK2 @ X3 ) )
        & ( $true
          = ( sK0 @ X3 ) )
        & ( ( sK1 @ X3 )
          = $true )
        & ( ( $true
           != ( sK0 @ X3 ) )
          | ( ( sK1 @ X3 )
            = $true ) ) )
   => ( ( ( sK2 @ sK3 )
       != $true )
      & ( $true
        = ( sK0 @ sK3 ) )
      & ( $true
        = ( sK1 @ sK3 ) )
      & ( ( $true
         != ( sK0 @ sK3 ) )
        | ( $true
          = ( sK1 @ sK3 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f14,plain,
    ( ? [X4: a] :
        ( ( $true
          = ( sK1 @ X4 ) )
        & ( ( sK2 @ X4 )
         != $true ) )
   => ( ( $true
        = ( sK1 @ sK4 ) )
      & ( $true
       != ( sK2 @ sK4 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ? [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ? [X3: a] :
            ( ( ( X2 @ X3 )
             != $true )
            & ( ( X0 @ X3 )
              = $true )
            & ( ( X1 @ X3 )
              = $true )
            & ( ( ( X0 @ X3 )
               != $true )
              | ( ( X1 @ X3 )
                = $true ) ) )
        | ? [X4: a] :
            ( ( ( X1 @ X4 )
              = $true )
            & ( ( X2 @ X4 )
             != $true ) ) )
      & ( ! [X5: a] :
            ( ( ( X2 @ X5 )
              = $true )
            | ( ( X0 @ X5 )
             != $true )
            | ( $true
             != ( X1 @ X5 ) )
            | ( ( ( X0 @ X5 )
                = $true )
              & ( $true
               != ( X1 @ X5 ) ) ) )
        | ! [X6: a] :
            ( ( ( X1 @ X6 )
             != $true )
            | ( ( X2 @ X6 )
              = $true ) ) )
      & ! [X7: a] :
          ( ( $true
            = ( X0 @ X7 ) )
          | ( ( X1 @ X7 )
           != $true ) )
      & ! [X8: a] :
          ( ( $true
            = ( X0 @ X8 ) )
          | ( ( X2 @ X8 )
           != $true ) ) ),
    inference(rectify,[],[f10]) ).

thf(f10,plain,
    ? [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ? [X5: a] :
            ( ( $true
             != ( X1 @ X5 ) )
            & ( ( X2 @ X5 )
              = $true )
            & ( ( X0 @ X5 )
              = $true )
            & ( ( ( X2 @ X5 )
               != $true )
              | ( ( X0 @ X5 )
                = $true ) ) )
        | ? [X6: a] :
            ( ( ( X0 @ X6 )
              = $true )
            & ( ( X1 @ X6 )
             != $true ) ) )
      & ( ! [X5: a] :
            ( ( $true
              = ( X1 @ X5 ) )
            | ( ( X2 @ X5 )
             != $true )
            | ( ( X0 @ X5 )
             != $true )
            | ( ( ( X2 @ X5 )
                = $true )
              & ( ( X0 @ X5 )
               != $true ) ) )
        | ! [X6: a] :
            ( ( ( X0 @ X6 )
             != $true )
            | ( ( X1 @ X6 )
              = $true ) ) )
      & ! [X4: a] :
          ( ( ( X2 @ X4 )
            = $true )
          | ( $true
           != ( X0 @ X4 ) ) )
      & ! [X3: a] :
          ( ( ( X2 @ X3 )
            = $true )
          | ( ( X1 @ X3 )
           != $true ) ) ),
    inference(flattening,[],[f9]) ).

thf(f9,plain,
    ? [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ? [X5: a] :
            ( ( $true
             != ( X1 @ X5 ) )
            & ( ( X2 @ X5 )
              = $true )
            & ( ( X0 @ X5 )
              = $true )
            & ( ( ( X2 @ X5 )
               != $true )
              | ( ( X0 @ X5 )
                = $true ) ) )
        | ? [X6: a] :
            ( ( ( X0 @ X6 )
              = $true )
            & ( ( X1 @ X6 )
             != $true ) ) )
      & ( ! [X5: a] :
            ( ( $true
              = ( X1 @ X5 ) )
            | ( ( X2 @ X5 )
             != $true )
            | ( ( X0 @ X5 )
             != $true )
            | ( ( ( X2 @ X5 )
                = $true )
              & ( ( X0 @ X5 )
               != $true ) ) )
        | ! [X6: a] :
            ( ( ( X0 @ X6 )
             != $true )
            | ( ( X1 @ X6 )
              = $true ) ) )
      & ! [X4: a] :
          ( ( ( X2 @ X4 )
            = $true )
          | ( $true
           != ( X0 @ X4 ) ) )
      & ! [X3: a] :
          ( ( ( X2 @ X3 )
            = $true )
          | ( ( X1 @ X3 )
           != $true ) ) ),
    inference(nnf_transformation,[],[f8]) ).

thf(f8,plain,
    ? [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ! [X6: a] :
            ( ( ( X0 @ X6 )
             != $true )
            | ( ( X1 @ X6 )
              = $true ) )
      <~> ! [X5: a] :
            ( ( $true
              = ( X1 @ X5 ) )
            | ( ( X2 @ X5 )
             != $true )
            | ( ( X0 @ X5 )
             != $true )
            | ( ( ( X2 @ X5 )
                = $true )
              & ( ( X0 @ X5 )
               != $true ) ) ) )
      & ! [X4: a] :
          ( ( ( X2 @ X4 )
            = $true )
          | ( $true
           != ( X0 @ X4 ) ) )
      & ! [X3: a] :
          ( ( ( X2 @ X3 )
            = $true )
          | ( ( X1 @ X3 )
           != $true ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ? [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ! [X6: a] :
            ( ( ( X0 @ X6 )
             != $true )
            | ( ( X1 @ X6 )
              = $true ) )
      <~> ! [X5: a] :
            ( ( ( ( X2 @ X5 )
                = $true )
              & ( ( X0 @ X5 )
               != $true ) )
            | ( $true
              = ( X1 @ X5 ) )
            | ( ( X0 @ X5 )
             != $true )
            | ( ( X2 @ X5 )
             != $true ) ) )
      & ! [X4: a] :
          ( ( ( X2 @ X4 )
            = $true )
          | ( $true
           != ( X0 @ X4 ) ) )
      & ! [X3: a] :
          ( ( ( X2 @ X3 )
            = $true )
          | ( ( X1 @ X3 )
           != $true ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ! [X4: a] :
              ( ( $true
                = ( X0 @ X4 ) )
             => ( ( X2 @ X4 )
                = $true ) )
          & ! [X3: a] :
              ( ( ( X1 @ X3 )
                = $true )
             => ( ( X2 @ X3 )
                = $true ) ) )
       => ( ! [X6: a] :
              ( ( ( X0 @ X6 )
                = $true )
             => ( ( X1 @ X6 )
                = $true ) )
        <=> ! [X5: a] :
              ( ( ( $true
                 != ( X1 @ X5 ) )
                & ( ( X0 @ X5 )
                  = $true )
                & ( ( X2 @ X5 )
                  = $true ) )
             => ( ( ( X2 @ X5 )
                  = $true )
                & ( ( X0 @ X5 )
                 != $true ) ) ) ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ! [X4: a] :
              ( ( $true
                = ( X0 @ X4 ) )
             => ( ( X2 @ X4 )
                = $true ) )
          & ! [X3: a] :
              ( ( ( X1 @ X3 )
                = $true )
             => ( ( X2 @ X3 )
                = $true ) ) )
       => ( ! [X5: a] :
              ( ( ( $true
                 != ( X1 @ X5 ) )
                & ( ( X2 @ X5 )
                  = $true )
                & ( ( X0 @ X5 )
                  = $true ) )
             => ( ( ( X0 @ X5 )
                 != $true )
                & ( ( X2 @ X5 )
                  = $true ) ) )
        <=> ! [X6: a] :
              ( ( ( X0 @ X6 )
                = $true )
             => ( ( X1 @ X6 )
                = $true ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ! [X3: a] :
              ( ( X1 @ X3 )
             => ( X2 @ X3 ) )
          & ! [X4: a] :
              ( ( X0 @ X4 )
             => ( X2 @ X4 ) ) )
       => ( ! [X5: a] :
              ( ( ~ ( X1 @ X5 )
                & ( X2 @ X5 )
                & ( X0 @ X5 ) )
             => ( ~ ( X0 @ X5 )
                & ( X2 @ X5 ) ) )
        <=> ! [X6: a] :
              ( ( X0 @ X6 )
             => ( X1 @ X6 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ! [X3: a] :
              ( ( X1 @ X3 )
             => ( X2 @ X3 ) )
          & ! [X3: a] :
              ( ( X0 @ X3 )
             => ( X2 @ X3 ) ) )
       => ( ! [X3: a] :
              ( ( ~ ( X1 @ X3 )
                & ( X2 @ X3 )
                & ( X0 @ X3 ) )
             => ( ~ ( X0 @ X3 )
                & ( X2 @ X3 ) ) )
        <=> ! [X3: a] :
              ( ( X0 @ X3 )
             => ( X1 @ X3 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ! [X3: a] :
            ( ( X1 @ X3 )
           => ( X2 @ X3 ) )
        & ! [X3: a] :
            ( ( X0 @ X3 )
           => ( X2 @ X3 ) ) )
     => ( ! [X3: a] :
            ( ( ~ ( X1 @ X3 )
              & ( X2 @ X3 )
              & ( X0 @ X3 ) )
           => ( ~ ( X0 @ X3 )
              & ( X2 @ X3 ) ) )
      <=> ! [X3: a] :
            ( ( X0 @ X3 )
           => ( X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM35_pme) ).

thf(f31,plain,
    ( ! [X5: a] :
        ( ( $true
         != ( sK0 @ X5 ) )
        | ( $true
         != ( sK1 @ X5 ) )
        | ( ( sK2 @ X5 )
          = $true ) )
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f30]) ).

thf(f70,plain,
    ( ~ spl5_6
    | ~ spl5_2
    | spl5_5 ),
    inference(avatar_split_clause,[],[f66,f45,f33,f50]) ).

thf(f50,plain,
    ( spl5_6
  <=> ( $true
      = ( sK1 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

thf(f45,plain,
    ( spl5_5
  <=> ( $true
      = ( sK2 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

thf(f66,plain,
    ( ( $true
     != ( sK1 @ sK4 ) )
    | ~ spl5_2
    | spl5_5 ),
    inference(trivial_inequality_removal,[],[f65]) ).

thf(f65,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK1 @ sK4 ) )
    | ~ spl5_2
    | spl5_5 ),
    inference(superposition,[],[f47,f34]) ).

thf(f34,plain,
    ( ! [X6: a] :
        ( ( ( sK2 @ X6 )
          = $true )
        | ( $true
         != ( sK1 @ X6 ) ) )
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f33]) ).

thf(f47,plain,
    ( ( $true
     != ( sK2 @ sK4 ) )
    | spl5_5 ),
    inference(avatar_component_clause,[],[f45]) ).

thf(f69,plain,
    ( ~ spl5_2
    | ~ spl5_3
    | spl5_7 ),
    inference(avatar_contradiction_clause,[],[f68]) ).

thf(f68,plain,
    ( $false
    | ~ spl5_2
    | ~ spl5_3
    | spl5_7 ),
    inference(subsumption_resolution,[],[f67,f39]) ).

thf(f39,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f37]) ).

thf(f37,plain,
    ( spl5_3
  <=> ( $true
      = ( sK1 @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

thf(f67,plain,
    ( ( $true
     != ( sK1 @ sK3 ) )
    | ~ spl5_2
    | spl5_7 ),
    inference(trivial_inequality_removal,[],[f64]) ).

thf(f64,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK1 @ sK3 ) )
    | ~ spl5_2
    | spl5_7 ),
    inference(superposition,[],[f58,f34]) ).

thf(f58,plain,
    ( ( ( sK2 @ sK3 )
     != $true )
    | spl5_7 ),
    inference(avatar_component_clause,[],[f56]) ).

thf(f56,plain,
    ( spl5_7
  <=> ( ( sK2 @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

thf(f63,plain,
    ( ~ spl5_5
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f26,f56,f45]) ).

thf(f26,plain,
    ( ( $true
     != ( sK2 @ sK4 ) )
    | ( ( sK2 @ sK3 )
     != $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f61,plain,
    ( spl5_6
    | spl5_3 ),
    inference(avatar_split_clause,[],[f23,f37,f50]) ).

thf(f23,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK4 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f60,plain,
    ( spl5_3
    | ~ spl5_5 ),
    inference(avatar_split_clause,[],[f22,f45,f37]) ).

thf(f22,plain,
    ( ( $true
     != ( sK2 @ sK4 ) )
    | ( $true
      = ( sK1 @ sK3 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f59,plain,
    ( ~ spl5_7
    | spl5_6 ),
    inference(avatar_split_clause,[],[f27,f50,f56]) ).

thf(f27,plain,
    ( ( ( sK2 @ sK3 )
     != $true )
    | ( $true
      = ( sK1 @ sK4 ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f35,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f28,f33,f30]) ).

thf(f28,plain,
    ! [X6: a,X5: a] :
      ( ( ( sK2 @ X5 )
        = $true )
      | ( $true
       != ( sK0 @ X5 ) )
      | ( $true
       != ( sK1 @ X6 ) )
      | ( ( sK2 @ X6 )
        = $true )
      | ( $true
       != ( sK1 @ X5 ) ) ),
    inference(duplicate_literal_removal,[],[f18]) ).

thf(f18,plain,
    ! [X6: a,X5: a] :
      ( ( $true
       != ( sK1 @ X5 ) )
      | ( $true
       != ( sK0 @ X5 ) )
      | ( ( sK2 @ X6 )
        = $true )
      | ( $true
       != ( sK1 @ X6 ) )
      | ( $true
       != ( sK1 @ X5 ) )
      | ( ( sK2 @ X5 )
        = $true ) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU853^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % 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
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 16:37:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36  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
% 0.15/0.38  % (4048)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)
% 0.15/0.38  % (4051)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.15/0.38  % (4047)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)
% 0.15/0.38  % (4050)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)
% 0.15/0.38  % (4052)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38  % (4046)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38  % (4053)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)
% 0.15/0.38  % (4050)Instruction limit reached!
% 0.15/0.38  % (4050)------------------------------
% 0.15/0.38  % (4050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4050)Termination reason: Unknown
% 0.15/0.38  % (4050)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (4050)Memory used [KB]: 5500
% 0.15/0.38  % (4050)Time elapsed: 0.004 s
% 0.15/0.38  % (4050)Instructions burned: 2 (million)
% 0.15/0.38  % (4050)------------------------------
% 0.15/0.38  % (4050)------------------------------
% 0.15/0.38  % (4053)Instruction limit reached!
% 0.15/0.38  % (4053)------------------------------
% 0.15/0.38  % (4053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4053)Termination reason: Unknown
% 0.15/0.38  % (4053)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (4053)Memory used [KB]: 5500
% 0.15/0.38  % (4053)Time elapsed: 0.005 s
% 0.15/0.38  % (4053)Instructions burned: 3 (million)
% 0.15/0.38  % (4053)------------------------------
% 0.15/0.38  % (4053)------------------------------
% 0.15/0.38  % (4047)Instruction limit reached!
% 0.15/0.38  % (4047)------------------------------
% 0.15/0.38  % (4047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (4047)Termination reason: Unknown
% 0.15/0.38  % (4047)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (4051)First to succeed.
% 0.15/0.38  % (4047)Memory used [KB]: 5500
% 0.15/0.38  % (4047)Time elapsed: 0.005 s
% 0.15/0.38  % (4047)Instructions burned: 4 (million)
% 0.15/0.38  % (4047)------------------------------
% 0.15/0.38  % (4047)------------------------------
% 0.15/0.39  % (4048)Also succeeded, but the first one will report.
% 0.15/0.39  % (4051)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (4051)------------------------------
% 0.15/0.39  % (4051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (4051)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (4051)Memory used [KB]: 5500
% 0.15/0.39  % (4051)Time elapsed: 0.007 s
% 0.15/0.39  % (4051)Instructions burned: 3 (million)
% 0.15/0.39  % (4051)------------------------------
% 0.15/0.39  % (4051)------------------------------
% 0.15/0.39  % (4045)Success in time 0.009 s
% 0.15/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------