TSTP Solution File: SEU987^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU987^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 03:52:28 EDT 2024

% Result   : Theorem 0.22s 0.50s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   47 (   6 unt;  12 typ;   0 def)
%            Number of atoms       :  161 (  83 equ;   0 cnn)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  753 (  63   ~;  37   |;  12   &; 623   @)
%                                         (   5 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   58 (  58   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  260 ( 160   ^  87   !;  12   ?; 260   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_7,type,
    a: $tType ).

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

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

thf(func_def_2,type,
    g: b > b ).

thf(func_def_3,type,
    f: a > a ).

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

thf(func_def_8,type,
    sK0: ( a > b > $o ) > a ).

thf(func_def_9,type,
    sK1: ( a > b > $o ) > b ).

thf(func_def_12,type,
    inv_f_3: a > a ).

thf(func_def_13,type,
    inv_g_4: b > b ).

thf(func_def_14,type,
    ph5: 
      !>[X0: $tType] : X0 ).

thf(f58,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f55,f57]) ).

thf(f57,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f56]) ).

thf(f56,plain,
    ( $false
    | ~ spl2_1 ),
    inference(equality_resolution,[],[f49]) ).

thf(f49,plain,
    ( ! [X1: a] :
        ( ( sK0
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ Y1 ) ) )
       != X1 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f48,plain,
    ( spl2_1
  <=> ! [X1: a] :
        ( ( sK0
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ Y1 ) ) )
       != X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f55,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f54]) ).

thf(f54,plain,
    ( $false
    | ~ spl2_2 ),
    inference(equality_resolution,[],[f52]) ).

thf(f52,plain,
    ( ! [X0: b] :
        ( ( sK1
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ Y1 ) ) )
       != X0 )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f51,plain,
    ( spl2_2
  <=> ! [X0: b] :
        ( ( sK1
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ Y1 ) ) )
       != X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f53,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f45,f51,f48]) ).

thf(f45,plain,
    ! [X0: b,X1: a] :
      ( ( ( sK0
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ Y1 ) ) )
       != X1 )
      | ( ( sK1
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ Y1 ) ) )
       != X0 ) ),
    inference(beta_eta_normalization,[],[f44]) ).

thf(f44,plain,
    ! [X0: b,X1: a] :
      ( ( ( sK0
          @ ^ [Y0: a,Y1: b] :
              ( cS @ ( inv_f_3 @ Y0 )
              @ ( inv_g_4
                @ ( ^ [Y2: a,Y3: b] : Y3
                  @ Y0
                  @ Y1 ) ) ) )
       != X1 )
      | ( ( sK1
          @ ^ [Y0: a,Y1: b] :
              ( cS @ ( inv_f_3 @ Y0 )
              @ ( inv_g_4
                @ ( ^ [Y2: a,Y3: b] : Y3
                  @ Y0
                  @ Y1 ) ) ) )
       != X0 ) ),
    inference(duplicate_literal_removal,[],[f41]) ).

thf(f41,plain,
    ! [X0: b,X1: a] :
      ( ( ( sK1
          @ ^ [Y0: a,Y1: b] :
              ( cS @ ( inv_f_3 @ Y0 )
              @ ( inv_g_4
                @ ( ^ [Y2: a,Y3: b] : Y3
                  @ Y0
                  @ Y1 ) ) ) )
       != X0 )
      | ( ( sK1
          @ ^ [Y0: a,Y1: b] :
              ( cS @ ( inv_f_3 @ Y0 )
              @ ( inv_g_4
                @ ( ^ [Y2: a,Y3: b] : Y3
                  @ Y0
                  @ Y1 ) ) ) )
       != X0 )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] :
              ( cS @ ( inv_f_3 @ Y0 )
              @ ( inv_g_4
                @ ( ^ [Y2: a,Y3: b] : Y3
                  @ Y0
                  @ Y1 ) ) ) )
       != X1 ) ),
    inference(equality_resolution,[],[f37]) ).

thf(f37,plain,
    ! [X2: b,X0: a > b > b,X1: a] :
      ( ( ( g @ X2 )
       != ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) )
      | ( ( sK1
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X2 )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ Y0 ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X1 ) ),
    inference(beta_eta_normalization,[],[f36]) ).

thf(f36,plain,
    ! [X2: b,X0: a > b > b,X1: a] :
      ( ( ( sK0
          @ ^ [Y0: a,Y1: b] :
              ( cS
              @ ( inv_f_3
                @ ( ^ [Y2: a,Y3: b] : Y2
                  @ Y0
                  @ Y1 ) )
              @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X1 )
      | ( ( sK1
          @ ^ [Y0: a,Y1: b] :
              ( cS
              @ ( inv_f_3
                @ ( ^ [Y2: a,Y3: b] : Y2
                  @ Y0
                  @ Y1 ) )
              @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X2 )
      | ( ( g @ X2 )
       != ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( inv_f_3
                    @ ( ^ [Y2: a,Y3: b] : Y2
                      @ Y0
                      @ Y1 ) )
                  @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( inv_f_3
                    @ ( ^ [Y2: a,Y3: b] : Y2
                      @ Y0
                      @ Y1 ) )
                  @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
    inference(duplicate_literal_removal,[],[f34]) ).

thf(f34,plain,
    ! [X2: b,X0: a > b > b,X1: a] :
      ( ( ( sK1
          @ ^ [Y0: a,Y1: b] :
              ( cS
              @ ( inv_f_3
                @ ( ^ [Y2: a,Y3: b] : Y2
                  @ Y0
                  @ Y1 ) )
              @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X2 )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] :
              ( cS
              @ ( inv_f_3
                @ ( ^ [Y2: a,Y3: b] : Y2
                  @ Y0
                  @ Y1 ) )
              @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X1 )
      | ( ( g @ X2 )
       != ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( inv_f_3
                    @ ( ^ [Y2: a,Y3: b] : Y2
                      @ Y0
                      @ Y1 ) )
                  @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( inv_f_3
                    @ ( ^ [Y2: a,Y3: b] : Y2
                      @ Y0
                      @ Y1 ) )
                  @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] :
              ( cS
              @ ( inv_f_3
                @ ( ^ [Y2: a,Y3: b] : Y2
                  @ Y0
                  @ Y1 ) )
              @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X1 ) ),
    inference(equality_resolution,[],[f31]) ).

thf(f31,plain,
    ! [X2: b,X3: a,X0: a > b > b,X1: a > b > a] :
      ( ( ( X1
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) )
       != ( f @ X3 ) )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X3 )
      | ( ( g @ X2 )
       != ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ) )
      | ( ( sK1
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) ) @ ( inv_g_4 @ ( X0 @ Y0 @ Y1 ) ) ) )
       != X2 ) ),
    inference(beta_eta_normalization,[],[f29]) ).

thf(f29,plain,
    ! [X2: b,X3: a,X0: a > b > b,X1: a > b > a] :
      ( ( ( sK1
          @ ^ [Y0: a,Y1: b] :
              ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) )
              @ ( ^ [Y2: a,Y3: b] : ( inv_g_4 @ ( X0 @ Y2 @ Y3 ) )
                @ Y0
                @ Y1 ) ) )
       != X2 )
      | ( ( g @ X2 )
       != ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] :
                  ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) )
                  @ ( ^ [Y2: a,Y3: b] : ( inv_g_4 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] :
                  ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) )
                  @ ( ^ [Y2: a,Y3: b] : ( inv_g_4 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 ) ) ) ) ) )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] :
              ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) )
              @ ( ^ [Y2: a,Y3: b] : ( inv_g_4 @ ( X0 @ Y2 @ Y3 ) )
                @ Y0
                @ Y1 ) ) )
       != X3 )
      | ( ( X1
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] :
                  ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) )
                  @ ( ^ [Y2: a,Y3: b] : ( inv_g_4 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] :
                  ( cS @ ( inv_f_3 @ ( X1 @ Y0 @ Y1 ) )
                  @ ( ^ [Y2: a,Y3: b] : ( inv_g_4 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 ) ) ) ) )
       != ( f @ X3 ) ) ),
    inference(constrained_superposition,[],[f28,f16]) ).

thf(f16,plain,
    ! [X4: b] :
      ( ( inv_g_4 @ ( g @ X4 ) )
      = X4 ),
    inference(injectivity,[],[f12]) ).

thf(f12,plain,
    ! [X3: b,X4: b] :
      ( ( ( g @ X4 )
       != ( g @ X3 ) )
      | ( X3 = X4 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ! [X0: a > b > $o] :
        ( ( X0 @ ( f @ ( sK0 @ X0 ) ) @ ( g @ ( sK1 @ X0 ) ) )
       != ( cS @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) ) )
    & ! [X3: b,X4: b] :
        ( ( X3 = X4 )
        | ( ( g @ X4 )
         != ( g @ X3 ) ) )
    & ! [X5: a,X6: a] :
        ( ( ( f @ X5 )
         != ( f @ X6 ) )
        | ( X5 = X6 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f9]) ).

thf(f9,plain,
    ! [X0: a > b > $o] :
      ( ? [X1: a,X2: b] :
          ( ( X0 @ ( f @ X1 ) @ ( g @ X2 ) )
         != ( cS @ X1 @ X2 ) )
     => ( ( X0 @ ( f @ ( sK0 @ X0 ) ) @ ( g @ ( sK1 @ X0 ) ) )
       != ( cS @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ( ! [X0: a > b > $o] :
      ? [X1: a,X2: b] :
        ( ( X0 @ ( f @ X1 ) @ ( g @ X2 ) )
       != ( cS @ X1 @ X2 ) )
    & ! [X3: b,X4: b] :
        ( ( X3 = X4 )
        | ( ( g @ X4 )
         != ( g @ X3 ) ) )
    & ! [X5: a,X6: a] :
        ( ( ( f @ X5 )
         != ( f @ X6 ) )
        | ( X5 = X6 ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ( ! [X4: a > b > $o] :
      ? [X5: a,X6: b] :
        ( ( X4 @ ( f @ X5 ) @ ( g @ X6 ) )
       != ( cS @ X5 @ X6 ) )
    & ! [X1: b,X0: b] :
        ( ( X0 = X1 )
        | ( ( g @ X0 )
         != ( g @ X1 ) ) )
    & ! [X3: a,X2: a] :
        ( ( ( f @ X2 )
         != ( f @ X3 ) )
        | ( X2 = X3 ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ! [X4: a > b > $o] :
      ? [X5: a,X6: b] :
        ( ( X4 @ ( f @ X5 ) @ ( g @ X6 ) )
       != ( cS @ X5 @ X6 ) )
    & ! [X1: b,X0: b] :
        ( ( X0 = X1 )
        | ( ( g @ X0 )
         != ( g @ X1 ) ) )
    & ! [X3: a,X2: a] :
        ( ( ( f @ X2 )
         != ( f @ X3 ) )
        | ( X2 = X3 ) ) ),
    inference(ennf_transformation,[],[f5]) ).

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

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

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

thf(f1,conjecture,
    ( ( ! [X1: b,X0: b] :
          ( ( ( g @ X0 )
            = ( g @ X1 ) )
         => ( X0 = X1 ) )
      & ! [X0: a,X1: a] :
          ( ( ( f @ X0 )
            = ( f @ X1 ) )
         => ( X0 = X1 ) ) )
   => ? [X2: a > b > $o] :
      ! [X0: a,X1: b] :
        ( ( X2 @ ( f @ X0 ) @ ( g @ X1 ) )
      <=> ( cS @ X0 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSV7_pme) ).

thf(f28,plain,
    ! [X2: a,X0: a > b > a,X1: a > b > b] :
      ( ( ( sK1
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X0 @ Y0 @ Y1 ) ) @ ( X1 @ Y0 @ Y1 ) ) )
       != ( X1
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X0 @ Y0 @ Y1 ) ) @ ( X1 @ Y0 @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X0 @ Y0 @ Y1 ) ) @ ( X1 @ Y0 @ Y1 ) ) ) ) ) )
      | ( ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X0 @ Y0 @ Y1 ) ) @ ( X1 @ Y0 @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X0 @ Y0 @ Y1 ) ) @ ( X1 @ Y0 @ Y1 ) ) ) ) )
       != ( f @ X2 ) )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] : ( cS @ ( inv_f_3 @ ( X0 @ Y0 @ Y1 ) ) @ ( X1 @ Y0 @ Y1 ) ) )
       != X2 ) ),
    inference(beta_eta_normalization,[],[f25]) ).

thf(f25,plain,
    ! [X2: a,X0: a > b > a,X1: a > b > b] :
      ( ( ( sK1
          @ ^ [Y0: a,Y1: b] :
              ( cS
              @ ( ^ [Y2: a,Y3: b] : ( inv_f_3 @ ( X0 @ Y2 @ Y3 ) )
                @ Y0
                @ Y1 )
              @ ( X1 @ Y0 @ Y1 ) ) )
       != ( X1
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( ^ [Y2: a,Y3: b] : ( inv_f_3 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 )
                  @ ( X1 @ Y0 @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( ^ [Y2: a,Y3: b] : ( inv_f_3 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 )
                  @ ( X1 @ Y0 @ Y1 ) ) ) ) ) )
      | ( ( sK0
          @ ^ [Y0: a,Y1: b] :
              ( cS
              @ ( ^ [Y2: a,Y3: b] : ( inv_f_3 @ ( X0 @ Y2 @ Y3 ) )
                @ Y0
                @ Y1 )
              @ ( X1 @ Y0 @ Y1 ) ) )
       != X2 )
      | ( ( f @ X2 )
       != ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( ^ [Y2: a,Y3: b] : ( inv_f_3 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 )
                  @ ( X1 @ Y0 @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] :
                  ( cS
                  @ ( ^ [Y2: a,Y3: b] : ( inv_f_3 @ ( X0 @ Y2 @ Y3 ) )
                    @ Y0
                    @ Y1 )
                  @ ( X1 @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(constrained_superposition,[],[f21,f14]) ).

thf(f14,plain,
    ! [X5: a] :
      ( ( inv_f_3 @ ( f @ X5 ) )
      = X5 ),
    inference(injectivity,[],[f11]) ).

thf(f11,plain,
    ! [X6: a,X5: a] :
      ( ( ( f @ X5 )
       != ( f @ X6 ) )
      | ( X5 = X6 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f21,plain,
    ! [X0: a > b > a,X1: a > b > b] :
      ( ( ( X0
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] : ( cS @ ( X0 @ Y0 @ Y1 ) @ ( X1 @ Y0 @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] : ( cS @ ( X0 @ Y0 @ Y1 ) @ ( X1 @ Y0 @ Y1 ) ) ) ) )
       != ( sK0
          @ ^ [Y0: a,Y1: b] : ( cS @ ( X0 @ Y0 @ Y1 ) @ ( X1 @ Y0 @ Y1 ) ) ) )
      | ( ( X1
          @ ( f
            @ ( sK0
              @ ^ [Y0: a,Y1: b] : ( cS @ ( X0 @ Y0 @ Y1 ) @ ( X1 @ Y0 @ Y1 ) ) ) )
          @ ( g
            @ ( sK1
              @ ^ [Y0: a,Y1: b] : ( cS @ ( X0 @ Y0 @ Y1 ) @ ( X1 @ Y0 @ Y1 ) ) ) ) )
       != ( sK1
          @ ^ [Y0: a,Y1: b] : ( cS @ ( X0 @ Y0 @ Y1 ) @ ( X1 @ Y0 @ Y1 ) ) ) ) ),
    inference(equality_resolution,[],[f13]) ).

thf(f13,plain,
    ! [X0: a > b > $o] :
      ( ( X0 @ ( f @ ( sK0 @ X0 ) ) @ ( g @ ( sK1 @ X0 ) ) )
     != ( cS @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) ) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU987^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 16:41:53 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a TH0_THM_EQU_NAR problem
% 0.13/0.36  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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % (5075)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)
% 0.13/0.38  % (5070)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.38  % (5072)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)
% 0.13/0.38  % (5074)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)
% 0.13/0.38  % (5073)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.38  % (5076)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.38  % (5071)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)
% 0.13/0.38  % (5077)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)
% 0.13/0.38  % (5074)Instruction limit reached!
% 0.13/0.38  % (5074)------------------------------
% 0.13/0.38  % (5074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (5074)Termination reason: Unknown
% 0.13/0.38  % (5074)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (5074)Memory used [KB]: 895
% 0.13/0.38  % (5074)Time elapsed: 0.003 s
% 0.13/0.38  % (5074)Instructions burned: 2 (million)
% 0.13/0.38  % (5074)------------------------------
% 0.13/0.38  % (5074)------------------------------
% 0.13/0.38  % (5073)Instruction limit reached!
% 0.13/0.38  % (5073)------------------------------
% 0.13/0.38  % (5073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (5073)Termination reason: Unknown
% 0.13/0.38  % (5073)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (5073)Memory used [KB]: 5500
% 0.13/0.38  % (5073)Time elapsed: 0.003 s
% 0.13/0.38  % (5073)Instructions burned: 2 (million)
% 0.13/0.38  % (5073)------------------------------
% 0.13/0.38  % (5073)------------------------------
% 0.13/0.38  % (5077)Instruction limit reached!
% 0.13/0.38  % (5077)------------------------------
% 0.13/0.38  % (5077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (5077)Termination reason: Unknown
% 0.13/0.38  % (5077)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (5077)Memory used [KB]: 5500
% 0.13/0.38  % (5077)Time elapsed: 0.003 s
% 0.13/0.38  % (5077)Instructions burned: 3 (million)
% 0.13/0.38  % (5077)------------------------------
% 0.13/0.38  % (5077)------------------------------
% 0.13/0.38  % (5072)Refutation not found, incomplete strategy
% 0.13/0.38  % (5072)------------------------------
% 0.13/0.38  % (5072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (5072)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  % (5072)Memory used [KB]: 5500
% 0.13/0.38  % (5072)Time elapsed: 0.003 s
% 0.13/0.38  % (5072)Instructions burned: 2 (million)
% 0.13/0.38  % (5072)------------------------------
% 0.13/0.38  % (5072)------------------------------
% 0.13/0.38  % (5071)Instruction limit reached!
% 0.13/0.38  % (5071)------------------------------
% 0.13/0.38  % (5071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (5071)Termination reason: Unknown
% 0.13/0.38  % (5071)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (5071)Memory used [KB]: 5500
% 0.13/0.38  % (5071)Time elapsed: 0.004 s
% 0.13/0.38  % (5071)Instructions burned: 4 (million)
% 0.13/0.38  % (5071)------------------------------
% 0.13/0.38  % (5071)------------------------------
% 0.13/0.38  % (5075)Refutation not found, incomplete strategy
% 0.13/0.38  % (5075)------------------------------
% 0.13/0.38  % (5075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (5075)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  % (5075)Memory used [KB]: 5500
% 0.13/0.38  % (5075)Time elapsed: 0.007 s
% 0.13/0.38  % (5075)Instructions burned: 9 (million)
% 0.13/0.38  % (5075)------------------------------
% 0.13/0.38  % (5075)------------------------------
% 0.13/0.39  % (5076)Instruction limit reached!
% 0.13/0.39  % (5076)------------------------------
% 0.13/0.39  % (5076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (5076)Termination reason: Unknown
% 0.13/0.39  % (5076)Termination phase: Saturation
% 0.13/0.39  
% 0.13/0.39  % (5076)Memory used [KB]: 5628
% 0.13/0.39  % (5076)Time elapsed: 0.012 s
% 0.13/0.39  % (5076)Instructions burned: 18 (million)
% 0.13/0.39  % (5076)------------------------------
% 0.13/0.39  % (5076)------------------------------
% 0.13/0.39  % (5078)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.39  % (5079)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.39  % (5080)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.39  % (5081)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.13/0.39  % (5082)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39  % (5080)Instruction limit reached!
% 0.13/0.39  % (5080)------------------------------
% 0.13/0.39  % (5080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (5083)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39  % (5080)Termination reason: Unknown
% 0.13/0.39  % (5080)Termination phase: Saturation
% 0.13/0.39  
% 0.13/0.39  % (5080)Memory used [KB]: 5500
% 0.13/0.39  % (5080)Time elapsed: 0.004 s
% 0.13/0.39  % (5080)Instructions burned: 3 (million)
% 0.13/0.39  % (5080)------------------------------
% 0.13/0.39  % (5080)------------------------------
% 0.13/0.40  % (5082)Instruction limit reached!
% 0.13/0.40  % (5082)------------------------------
% 0.13/0.40  % (5082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (5082)Termination reason: Unknown
% 0.13/0.40  % (5082)Termination phase: Saturation
% 0.13/0.40  
% 0.13/0.40  % (5082)Memory used [KB]: 1023
% 0.13/0.40  % (5082)Time elapsed: 0.007 s
% 0.13/0.40  % (5082)Instructions burned: 8 (million)
% 0.13/0.40  % (5082)------------------------------
% 0.13/0.40  % (5082)------------------------------
% 0.13/0.40  % (5079)Refutation not found, incomplete strategy
% 0.13/0.40  % (5079)------------------------------
% 0.13/0.40  % (5079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (5079)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  % (5079)Memory used [KB]: 5628
% 0.13/0.40  % (5079)Time elapsed: 0.008 s
% 0.13/0.40  % (5079)Instructions burned: 9 (million)
% 0.13/0.40  % (5079)------------------------------
% 0.13/0.40  % (5079)------------------------------
% 0.13/0.40  % (5084)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.40  % (5084)Instruction limit reached!
% 0.13/0.40  % (5084)------------------------------
% 0.13/0.40  % (5084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (5084)Termination reason: Unknown
% 0.13/0.40  % (5084)Termination phase: Saturation
% 0.13/0.40  
% 0.13/0.40  % (5084)Memory used [KB]: 5500
% 0.13/0.40  % (5084)Time elapsed: 0.003 s
% 0.13/0.40  % (5084)Instructions burned: 3 (million)
% 0.13/0.40  % (5084)------------------------------
% 0.13/0.40  % (5084)------------------------------
% 0.13/0.41  % (5083)Instruction limit reached!
% 0.13/0.41  % (5083)------------------------------
% 0.13/0.41  % (5083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (5083)Termination reason: Unknown
% 0.13/0.41  % (5083)Termination phase: Saturation
% 0.13/0.41  
% 0.13/0.41  % (5083)Memory used [KB]: 5628
% 0.13/0.41  % (5083)Time elapsed: 0.034 s
% 0.13/0.41  % (5083)Instructions burned: 17 (million)
% 0.13/0.41  % (5083)------------------------------
% 0.13/0.41  % (5083)------------------------------
% 0.13/0.41  % (5085)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.41  % (5085)Instruction limit reached!
% 0.13/0.41  % (5085)------------------------------
% 0.13/0.41  % (5085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (5085)Termination reason: Unknown
% 0.13/0.41  % (5085)Termination phase: Saturation
% 0.13/0.41  
% 0.13/0.41  % (5085)Memory used [KB]: 1023
% 0.13/0.41  % (5085)Time elapsed: 0.003 s
% 0.13/0.41  % (5085)Instructions burned: 3 (million)
% 0.13/0.41  % (5085)------------------------------
% 0.13/0.41  % (5085)------------------------------
% 0.13/0.41  % (5078)Instruction limit reached!
% 0.13/0.41  % (5078)------------------------------
% 0.13/0.41  % (5078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (5078)Termination reason: Unknown
% 0.13/0.41  % (5078)Termination phase: Saturation
% 0.13/0.41  
% 0.13/0.41  % (5078)Memory used [KB]: 6012
% 0.13/0.41  % (5078)Time elapsed: 0.022 s
% 0.13/0.41  % (5078)Instructions burned: 37 (million)
% 0.13/0.41  % (5078)------------------------------
% 0.13/0.41  % (5078)------------------------------
% 0.22/0.41  % (5086)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41  % (5087)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42  % (5086)Refutation not found, incomplete strategy
% 0.22/0.42  % (5086)------------------------------
% 0.22/0.42  % (5086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (5086)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42  
% 0.22/0.42  
% 0.22/0.42  % (5087)Instruction limit reached!
% 0.22/0.42  % (5087)------------------------------
% 0.22/0.42  % (5087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (5087)Termination reason: Unknown
% 0.22/0.42  % (5087)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (5087)Memory used [KB]: 5500
% 0.22/0.42  % (5087)Time elapsed: 0.024 s
% 0.22/0.42  % (5087)Instructions burned: 3 (million)
% 0.22/0.42  % (5087)------------------------------
% 0.22/0.42  % (5087)------------------------------
% 0.22/0.42  % (5086)Memory used [KB]: 5500
% 0.22/0.42  % (5086)Time elapsed: 0.026 s
% 0.22/0.42  % (5086)Instructions burned: 3 (million)
% 0.22/0.42  % (5086)------------------------------
% 0.22/0.42  % (5086)------------------------------
% 0.22/0.42  % (5088)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.42  % (5088)Instruction limit reached!
% 0.22/0.42  % (5088)------------------------------
% 0.22/0.42  % (5088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (5088)Termination reason: Unknown
% 0.22/0.42  % (5088)Termination phase: Saturation
% 0.22/0.42  
% 0.22/0.42  % (5088)Memory used [KB]: 5500
% 0.22/0.42  % (5088)Time elapsed: 0.005 s
% 0.22/0.42  % (5088)Instructions burned: 4 (million)
% 0.22/0.42  % (5088)------------------------------
% 0.22/0.42  % (5088)------------------------------
% 0.22/0.42  % (5089)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.42  % (5089)Refutation not found, incomplete strategy
% 0.22/0.42  % (5089)------------------------------
% 0.22/0.42  % (5089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (5089)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42  
% 0.22/0.42  
% 0.22/0.42  % (5089)Memory used [KB]: 5500
% 0.22/0.42  % (5089)Time elapsed: 0.003 s
% 0.22/0.42  % (5089)Instructions burned: 2 (million)
% 0.22/0.42  % (5089)------------------------------
% 0.22/0.42  % (5089)------------------------------
% 0.22/0.43  % (5090)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43  % (5091)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.43  % (5091)Instruction limit reached!
% 0.22/0.43  % (5091)------------------------------
% 0.22/0.43  % (5091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (5091)Termination reason: Unknown
% 0.22/0.43  % (5091)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (5091)Memory used [KB]: 5500
% 0.22/0.43  % (5091)Time elapsed: 0.006 s
% 0.22/0.43  % (5091)Instructions burned: 6 (million)
% 0.22/0.43  % (5091)------------------------------
% 0.22/0.43  % (5091)------------------------------
% 0.22/0.43  % (5092)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.43  % (5093)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.43  % (5094)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.44  % (5094)Instruction limit reached!
% 0.22/0.44  % (5094)------------------------------
% 0.22/0.44  % (5094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (5094)Termination reason: Unknown
% 0.22/0.44  % (5094)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (5094)Memory used [KB]: 5500
% 0.22/0.44  % (5094)Time elapsed: 0.005 s
% 0.22/0.44  % (5094)Instructions burned: 5 (million)
% 0.22/0.44  % (5095)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44  % (5094)------------------------------
% 0.22/0.44  % (5094)------------------------------
% 0.22/0.44  % (5095)Instruction limit reached!
% 0.22/0.44  % (5095)------------------------------
% 0.22/0.44  % (5095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (5095)Termination reason: Unknown
% 0.22/0.44  % (5095)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (5095)Memory used [KB]: 5500
% 0.22/0.44  % (5095)Time elapsed: 0.005 s
% 0.22/0.44  % (5095)Instructions burned: 7 (million)
% 0.22/0.44  % (5095)------------------------------
% 0.22/0.44  % (5095)------------------------------
% 0.22/0.44  % (5093)Instruction limit reached!
% 0.22/0.44  % (5093)------------------------------
% 0.22/0.44  % (5093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (5093)Termination reason: Unknown
% 0.22/0.44  % (5093)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (5093)Memory used [KB]: 5628
% 0.22/0.45  % (5093)Time elapsed: 0.015 s
% 0.22/0.45  % (5093)Instructions burned: 22 (million)
% 0.22/0.45  % (5093)------------------------------
% 0.22/0.45  % (5093)------------------------------
% 0.22/0.45  % (5096)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.45  % (5097)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.22/0.46  % (5098)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.22/0.46  % (5099)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.22/0.47  % (5070)Instruction limit reached!
% 0.22/0.47  % (5070)------------------------------
% 0.22/0.47  % (5070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (5070)Termination reason: Unknown
% 0.22/0.47  % (5070)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (5070)Memory used [KB]: 6140
% 0.22/0.47  % (5070)Time elapsed: 0.092 s
% 0.22/0.47  % (5070)Instructions burned: 184 (million)
% 0.22/0.47  % (5070)------------------------------
% 0.22/0.47  % (5070)------------------------------
% 0.22/0.47  % (5099)Refutation not found, incomplete strategy
% 0.22/0.47  % (5099)------------------------------
% 0.22/0.47  % (5099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (5099)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47  
% 0.22/0.47  
% 0.22/0.47  % (5099)Memory used [KB]: 5500
% 0.22/0.47  % (5099)Time elapsed: 0.008 s
% 0.22/0.47  % (5099)Instructions burned: 10 (million)
% 0.22/0.47  % (5098)Instruction limit reached!
% 0.22/0.47  % (5098)------------------------------
% 0.22/0.47  % (5098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (5098)Termination reason: Unknown
% 0.22/0.47  % (5098)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (5098)Memory used [KB]: 5628
% 0.22/0.47  % (5098)Time elapsed: 0.012 s
% 0.22/0.47  % (5098)Instructions burned: 19 (million)
% 0.22/0.47  % (5098)------------------------------
% 0.22/0.47  % (5098)------------------------------
% 0.22/0.47  % (5099)------------------------------
% 0.22/0.47  % (5099)------------------------------
% 0.22/0.48  % (5100)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.48  % (5101)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.48  % (5102)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.48  % (5101)Instruction limit reached!
% 0.22/0.48  % (5101)------------------------------
% 0.22/0.48  % (5101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (5101)Termination reason: Unknown
% 0.22/0.48  % (5101)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (5101)Memory used [KB]: 1023
% 0.22/0.48  % (5101)Time elapsed: 0.003 s
% 0.22/0.48  % (5101)Instructions burned: 3 (million)
% 0.22/0.48  % (5101)------------------------------
% 0.22/0.48  % (5101)------------------------------
% 0.22/0.49  % (5100)Instruction limit reached!
% 0.22/0.49  % (5100)------------------------------
% 0.22/0.49  % (5100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (5100)Termination reason: Unknown
% 0.22/0.49  % (5100)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (5100)Memory used [KB]: 5628
% 0.22/0.49  % (5100)Time elapsed: 0.012 s
% 0.22/0.49  % (5100)Instructions burned: 18 (million)
% 0.22/0.49  % (5100)------------------------------
% 0.22/0.49  % (5100)------------------------------
% 0.22/0.50  % (5102)First to succeed.
% 0.22/0.50  % (5103)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.22/0.50  % (5102)Refutation found. Thanks to Tanya!
% 0.22/0.50  % SZS status Theorem for theBenchmark
% 0.22/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50  % (5102)------------------------------
% 0.22/0.50  % (5102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50  % (5102)Termination reason: Refutation
% 0.22/0.50  
% 0.22/0.50  % (5102)Memory used [KB]: 5756
% 0.22/0.50  % (5102)Time elapsed: 0.017 s
% 0.22/0.50  % (5102)Instructions burned: 22 (million)
% 0.22/0.50  % (5102)------------------------------
% 0.22/0.50  % (5102)------------------------------
% 0.22/0.50  % (5069)Success in time 0.135 s
% 0.22/0.50  % Vampire---4.8 exiting
%------------------------------------------------------------------------------