TSTP Solution File: MSC007^1.003.004 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MSC007^1.003.004 : TPTP v8.2.0. Released v5.4.0.
% 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 : n019.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 00:49:08 EDT 2024

% Result   : Theorem 1.11s 0.55s
% Output   : Refutation 1.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  139 (  19 unt;  13 typ;   0 def)
%            Number of atoms       :  326 ( 182 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  462 ( 118   ~; 141   |;   9   &; 168   @)
%                                         (  23 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   35 (  32 usr;  32 con; 0-2 aty)
%            Number of variables   :   33 (   2   ^  24   !;   6   ?;  33   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

thf(func_def_2,type,
    hole1: hole ).

thf(func_def_3,type,
    hole2: hole ).

thf(func_def_4,type,
    hole3: hole ).

thf(func_def_5,type,
    pigeon1: pigeon ).

thf(func_def_6,type,
    pigeon2: pigeon ).

thf(func_def_7,type,
    pigeon3: pigeon ).

thf(func_def_8,type,
    pigeon4: pigeon ).

thf(func_def_9,type,
    pigeon_hole: pigeon > hole ).

thf(func_def_15,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f260,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f40,f45,f50,f55,f60,f84,f105,f106,f107,f108,f109,f167,f176,f185,f190,f203,f204,f216,f217,f218,f219,f220,f233,f243,f247,f248,f249,f255,f256,f257,f258,f259]) ).

thf(f259,plain,
    ( ( hole1
     != ( pigeon_hole @ pigeon4 ) )
    | ( hole1
     != ( pigeon_hole @ pigeon3 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f258,plain,
    ( ( hole2
     != ( pigeon_hole @ pigeon1 ) )
    | ( hole2
     != ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f257,plain,
    ( ( hole1
     != ( pigeon_hole @ pigeon1 ) )
    | ( hole1
     != ( pigeon_hole @ pigeon4 ) )
    | ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f256,plain,
    ( ( hole2
     != ( pigeon_hole @ pigeon4 ) )
    | ( hole2
     != ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon4 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f255,plain,
    ( ( hole1
     != ( pigeon_hole @ pigeon1 ) )
    | ( hole1
     != ( pigeon_hole @ pigeon3 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon1 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f249,plain,
    ( ( hole2
     != ( pigeon_hole @ pigeon1 ) )
    | ( hole2
     != ( pigeon_hole @ pigeon4 ) )
    | ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f248,plain,
    ( ( hole1
     != ( pigeon_hole @ pigeon1 ) )
    | ( hole1
     != ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f247,plain,
    ( spl0_20
    | spl0_21
    | spl0_27 ),
    inference(avatar_split_clause,[],[f246,f200,f173,f169]) ).

thf(f169,plain,
    ( spl0_20
  <=> ( hole1
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

thf(f173,plain,
    ( spl0_21
  <=> ( hole2
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

thf(f200,plain,
    ( spl0_27
  <=> ( hole3
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

thf(f246,plain,
    ( ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | spl0_21
    | spl0_27 ),
    inference(subsumption_resolution,[],[f245,f174]) ).

thf(f174,plain,
    ( ( hole2
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_21 ),
    inference(avatar_component_clause,[],[f173]) ).

thf(f245,plain,
    ( ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | spl0_27 ),
    inference(trivial_inequality_removal,[],[f244]) ).

thf(f244,plain,
    ( ( hole3 != hole3 )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | spl0_27 ),
    inference(superposition,[],[f202,f130]) ).

thf(f130,plain,
    ! [X0: hole] :
      ( ( hole3 = X0 )
      | ( hole1 = X0 )
      | ( hole2 = X0 ) ),
    inference(equality_proxy_clausification,[],[f129]) ).

thf(f129,plain,
    ! [X0: hole] :
      ( ( hole3 = X0 )
      | ( hole1 = X0 )
      | ( $true
        = ( X0 = hole2 ) ) ),
    inference(not_proxy_clausification,[],[f128]) ).

thf(f128,plain,
    ! [X0: hole] :
      ( ( hole3 = X0 )
      | ( $true
       != ( X0 != hole2 ) )
      | ( hole1 = X0 ) ),
    inference(equality_proxy_clausification,[],[f127]) ).

thf(f127,plain,
    ! [X0: hole] :
      ( ( $true
        = ( X0 = hole3 ) )
      | ( hole1 = X0 )
      | ( $true
       != ( X0 != hole2 ) ) ),
    inference(not_proxy_clausification,[],[f126]) ).

thf(f126,plain,
    ! [X0: hole] :
      ( ( hole1 = X0 )
      | ( $true
       != ( X0 != hole3 ) )
      | ( $true
       != ( X0 != hole2 ) ) ),
    inference(beta_eta_normalization,[],[f111]) ).

thf(f111,plain,
    ! [X0: hole] :
      ( ( $true
       != ( ^ [Y0: hole] : ( X0 != Y0 )
          @ hole2 ) )
      | ( $true
       != ( ^ [Y0: hole] : ( X0 != Y0 )
          @ hole3 ) )
      | ( hole1 = X0 ) ),
    inference(leibniz_equality_elimination,[],[f19]) ).

thf(f19,plain,
    ! [X0: hole > $o,X1: hole] :
      ( ( ( X0 @ X1 )
        = $true )
      | ( ( X0 @ hole1 )
       != $true )
      | ( ( X0 @ hole3 )
       != $true )
      | ( ( X0 @ hole2 )
       != $true ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f15,plain,
    ! [X0: hole > $o] :
      ( ( ( X0 @ hole2 )
       != $true )
      | ( ( X0 @ hole3 )
       != $true )
      | ( ( X0 @ hole1 )
       != $true )
      | ! [X1: hole] :
          ( ( X0 @ X1 )
          = $true ) ),
    inference(flattening,[],[f14]) ).

thf(f14,plain,
    ! [X0: hole > $o] :
      ( ! [X1: hole] :
          ( ( X0 @ X1 )
          = $true )
      | ( ( X0 @ hole2 )
       != $true )
      | ( ( X0 @ hole1 )
       != $true )
      | ( ( X0 @ hole3 )
       != $true ) ),
    inference(ennf_transformation,[],[f12]) ).

thf(f12,plain,
    ! [X0: hole > $o] :
      ( ( ( ( X0 @ hole2 )
          = $true )
        & ( ( X0 @ hole1 )
          = $true )
        & ( ( X0 @ hole3 )
          = $true ) )
     => ! [X1: hole] :
          ( ( X0 @ X1 )
          = $true ) ),
    inference(fool_elimination,[],[f11]) ).

thf(f11,plain,
    ! [X0: hole > $o] :
      ( ( ( X0 @ hole1 )
        & ( X0 @ hole2 )
        & ( X0 @ hole3 ) )
     => ! [X1: hole] : ( X0 @ X1 ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [X0: hole > $o] :
      ( ( ( X0 @ hole1 )
        & ( X0 @ hole2 )
        & ( X0 @ hole3 ) )
     => ! [X1: hole] : ( X0 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',holecover) ).

thf(f202,plain,
    ( ( hole3
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_27 ),
    inference(avatar_component_clause,[],[f200]) ).

thf(f243,plain,
    ( ~ spl0_29
    | spl0_9
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f236,f164,f80,f213]) ).

thf(f213,plain,
    ( spl0_29
  <=> ( hole2
      = ( pigeon_hole @ pigeon1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

thf(f80,plain,
    ( spl0_9
  <=> ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

thf(f164,plain,
    ( spl0_19
  <=> ( hole2
      = ( pigeon_hole @ pigeon3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

thf(f236,plain,
    ( ( hole2
     != ( pigeon_hole @ pigeon1 ) )
    | spl0_9
    | ~ spl0_19 ),
    inference(backward_demodulation,[],[f82,f166]) ).

thf(f166,plain,
    ( ( hole2
      = ( pigeon_hole @ pigeon3 ) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f164]) ).

thf(f82,plain,
    ( ( ( pigeon_hole @ pigeon3 )
     != ( pigeon_hole @ pigeon1 ) )
    | spl0_9 ),
    inference(avatar_component_clause,[],[f80]) ).

thf(f233,plain,
    ( spl0_19
    | spl0_18
    | spl0_24 ),
    inference(avatar_split_clause,[],[f232,f187,f160,f164]) ).

thf(f160,plain,
    ( spl0_18
  <=> ( hole1
      = ( pigeon_hole @ pigeon3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

thf(f187,plain,
    ( spl0_24
  <=> ( hole3
      = ( pigeon_hole @ pigeon3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

thf(f232,plain,
    ( ( hole2
      = ( pigeon_hole @ pigeon3 ) )
    | spl0_18
    | spl0_24 ),
    inference(subsumption_resolution,[],[f228,f161]) ).

thf(f161,plain,
    ( ( hole1
     != ( pigeon_hole @ pigeon3 ) )
    | spl0_18 ),
    inference(avatar_component_clause,[],[f160]) ).

thf(f228,plain,
    ( ( hole1
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon3 ) )
    | spl0_24 ),
    inference(trivial_inequality_removal,[],[f227]) ).

thf(f227,plain,
    ( ( hole2
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole3 != hole3 )
    | spl0_24 ),
    inference(superposition,[],[f189,f130]) ).

thf(f189,plain,
    ( ( hole3
     != ( pigeon_hole @ pigeon3 ) )
    | spl0_24 ),
    inference(avatar_component_clause,[],[f187]) ).

thf(f220,plain,
    ( ( hole2
     != ( pigeon_hole @ pigeon2 ) )
    | ( hole2
     != ( pigeon_hole @ pigeon3 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f219,plain,
    ( ( hole1
     != ( pigeon_hole @ pigeon4 ) )
    | ( hole1
     != ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon4 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f218,plain,
    ( ( hole2
     != ( pigeon_hole @ pigeon4 ) )
    | ( hole2
     != ( pigeon_hole @ pigeon3 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f217,plain,
    ( ( hole1
     != ( pigeon_hole @ pigeon2 ) )
    | ( hole1
     != ( pigeon_hole @ pigeon3 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(theory_tautology_sat_conflict,[]) ).

thf(f216,plain,
    ( spl0_28
    | spl0_29
    | spl0_17 ),
    inference(avatar_split_clause,[],[f207,f156,f213,f209]) ).

thf(f209,plain,
    ( spl0_28
  <=> ( hole1
      = ( pigeon_hole @ pigeon1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

thf(f156,plain,
    ( spl0_17
  <=> ( hole3
      = ( pigeon_hole @ pigeon1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

thf(f207,plain,
    ( ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon1 ) )
    | spl0_17 ),
    inference(trivial_inequality_removal,[],[f206]) ).

thf(f206,plain,
    ( ( hole3 != hole3 )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon1 ) )
    | spl0_17 ),
    inference(superposition,[],[f158,f130]) ).

thf(f158,plain,
    ( ( hole3
     != ( pigeon_hole @ pigeon1 ) )
    | spl0_17 ),
    inference(avatar_component_clause,[],[f156]) ).

thf(f204,plain,
    ( spl0_19
    | spl0_18
    | ~ spl0_27
    | spl0_11 ),
    inference(avatar_split_clause,[],[f148,f91,f200,f160,f164]) ).

thf(f91,plain,
    ( spl0_11
  <=> ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

thf(f148,plain,
    ( ( hole2
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole3
     != ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) )
    | spl0_11 ),
    inference(superposition,[],[f93,f130]) ).

thf(f93,plain,
    ( ( ( pigeon_hole @ pigeon3 )
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_11 ),
    inference(avatar_component_clause,[],[f91]) ).

thf(f203,plain,
    ( spl0_23
    | ~ spl0_27
    | spl0_22
    | spl0_10 ),
    inference(avatar_split_clause,[],[f151,f86,f178,f200,f182]) ).

thf(f182,plain,
    ( spl0_23
  <=> ( hole1
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

thf(f178,plain,
    ( spl0_22
  <=> ( hole2
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

thf(f86,plain,
    ( spl0_10
  <=> ( ( pigeon_hole @ pigeon4 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

thf(f151,plain,
    ( ( hole1
      = ( pigeon_hole @ pigeon4 ) )
    | ( hole3
     != ( pigeon_hole @ pigeon2 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon4 ) )
    | spl0_10 ),
    inference(superposition,[],[f88,f130]) ).

thf(f88,plain,
    ( ( ( pigeon_hole @ pigeon4 )
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_10 ),
    inference(avatar_component_clause,[],[f86]) ).

thf(f190,plain,
    ( spl0_22
    | ~ spl0_24
    | spl0_23
    | spl0_8 ),
    inference(avatar_split_clause,[],[f152,f75,f182,f187,f178]) ).

thf(f75,plain,
    ( spl0_8
  <=> ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

thf(f152,plain,
    ( ( hole3
     != ( pigeon_hole @ pigeon3 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon4 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon4 ) )
    | spl0_8 ),
    inference(superposition,[],[f77,f130]) ).

thf(f77,plain,
    ( ( ( pigeon_hole @ pigeon3 )
     != ( pigeon_hole @ pigeon4 ) )
    | spl0_8 ),
    inference(avatar_component_clause,[],[f75]) ).

thf(f185,plain,
    ( spl0_22
    | ~ spl0_17
    | spl0_23
    | spl0_13 ),
    inference(avatar_split_clause,[],[f150,f101,f182,f156,f178]) ).

thf(f101,plain,
    ( spl0_13
  <=> ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

thf(f150,plain,
    ( ( hole3
     != ( pigeon_hole @ pigeon1 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon4 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon4 ) )
    | spl0_13 ),
    inference(superposition,[],[f103,f130]) ).

thf(f103,plain,
    ( ( ( pigeon_hole @ pigeon1 )
     != ( pigeon_hole @ pigeon4 ) )
    | spl0_13 ),
    inference(avatar_component_clause,[],[f101]) ).

thf(f176,plain,
    ( ~ spl0_17
    | spl0_20
    | spl0_21
    | spl0_12 ),
    inference(avatar_split_clause,[],[f147,f96,f173,f169,f156]) ).

thf(f96,plain,
    ( spl0_12
  <=> ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

thf(f147,plain,
    ( ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole3
     != ( pigeon_hole @ pigeon1 ) )
    | spl0_12 ),
    inference(superposition,[],[f98,f130]) ).

thf(f98,plain,
    ( ( ( pigeon_hole @ pigeon1 )
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_12 ),
    inference(avatar_component_clause,[],[f96]) ).

thf(f167,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_19
    | spl0_9 ),
    inference(avatar_split_clause,[],[f149,f80,f164,f160,f156]) ).

thf(f149,plain,
    ( ( hole3
     != ( pigeon_hole @ pigeon1 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon3 ) )
    | spl0_9 ),
    inference(superposition,[],[f82,f130]) ).

thf(f109,plain,
    ( ~ spl0_11
    | spl0_1 ),
    inference(avatar_split_clause,[],[f64,f27,f91]) ).

thf(f27,plain,
    ( spl0_1
  <=> ( pigeon2 = pigeon3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f64,plain,
    ( ( ( pigeon_hole @ pigeon3 )
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_1 ),
    inference(extensionality_resolution,[],[f23,f29]) ).

thf(f29,plain,
    ( ( pigeon2 != pigeon3 )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

thf(f23,plain,
    ! [X0: pigeon,X1: pigeon] :
      ( ( ( pigeon_hole @ X1 )
       != ( pigeon_hole @ X0 ) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,plain,
    ! [X0: pigeon,X1: pigeon] :
      ( ( X0 = X1 )
      | ( ( pigeon_hole @ X1 )
       != ( pigeon_hole @ X0 ) ) ),
    inference(rectify,[],[f16]) ).

thf(f16,plain,
    ! [X1: pigeon,X0: pigeon] :
      ( ( X0 = X1 )
      | ( ( pigeon_hole @ X1 )
       != ( pigeon_hole @ X0 ) ) ),
    inference(ennf_transformation,[],[f13]) ).

thf(f13,plain,
    ~ ? [X1: pigeon,X0: pigeon] :
        ( ( X0 != X1 )
        & ( ( pigeon_hole @ X1 )
          = ( pigeon_hole @ X0 ) ) ),
    inference(rectify,[],[f9]) ).

thf(f9,negated_conjecture,
    ~ ? [X2: pigeon,X1: pigeon] :
        ( ( ( pigeon_hole @ X1 )
          = ( pigeon_hole @ X2 ) )
        & ( X1 != X2 ) ),
    inference(negated_conjecture,[],[f8]) ).

thf(f8,conjecture,
    ? [X2: pigeon,X1: pigeon] :
      ( ( ( pigeon_hole @ X1 )
        = ( pigeon_hole @ X2 ) )
      & ( X1 != X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sharing_a_hole) ).

thf(f108,plain,
    ( ~ spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f72,f42,f101]) ).

thf(f42,plain,
    ( spl0_4
  <=> ( pigeon1 = pigeon4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f72,plain,
    ( ( ( pigeon_hole @ pigeon1 )
     != ( pigeon_hole @ pigeon4 ) )
    | spl0_4 ),
    inference(extensionality_resolution,[],[f23,f44]) ).

thf(f44,plain,
    ( ( pigeon1 != pigeon4 )
    | spl0_4 ),
    inference(avatar_component_clause,[],[f42]) ).

thf(f107,plain,
    ( ~ spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f68,f57,f96]) ).

thf(f57,plain,
    ( spl0_7
  <=> ( pigeon1 = pigeon2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

thf(f68,plain,
    ( ( ( pigeon_hole @ pigeon1 )
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_7 ),
    inference(extensionality_resolution,[],[f23,f59]) ).

thf(f59,plain,
    ( ( pigeon1 != pigeon2 )
    | spl0_7 ),
    inference(avatar_component_clause,[],[f57]) ).

thf(f106,plain,
    ( ~ spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f66,f47,f80]) ).

thf(f47,plain,
    ( spl0_5
  <=> ( pigeon1 = pigeon3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

thf(f66,plain,
    ( ( ( pigeon_hole @ pigeon3 )
     != ( pigeon_hole @ pigeon1 ) )
    | spl0_5 ),
    inference(extensionality_resolution,[],[f23,f49]) ).

thf(f49,plain,
    ( ( pigeon1 != pigeon3 )
    | spl0_5 ),
    inference(avatar_component_clause,[],[f47]) ).

thf(f105,plain,
    ( ~ spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f61,f37,f86]) ).

thf(f37,plain,
    ( spl0_3
  <=> ( pigeon2 = pigeon4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f61,plain,
    ( ( ( pigeon_hole @ pigeon4 )
     != ( pigeon_hole @ pigeon2 ) )
    | spl0_3 ),
    inference(extensionality_resolution,[],[f23,f39]) ).

thf(f39,plain,
    ( ( pigeon2 != pigeon4 )
    | spl0_3 ),
    inference(avatar_component_clause,[],[f37]) ).

thf(f84,plain,
    ( ~ spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f69,f52,f75]) ).

thf(f52,plain,
    ( spl0_6
  <=> ( pigeon3 = pigeon4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

thf(f69,plain,
    ( ( ( pigeon_hole @ pigeon3 )
     != ( pigeon_hole @ pigeon4 ) )
    | spl0_6 ),
    inference(extensionality_resolution,[],[f23,f54]) ).

thf(f54,plain,
    ( ( pigeon3 != pigeon4 )
    | spl0_6 ),
    inference(avatar_component_clause,[],[f52]) ).

thf(f60,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f25,f57]) ).

thf(f25,plain,
    pigeon1 != pigeon2,
    inference(cnf_transformation,[],[f2]) ).

thf(f2,axiom,
    pigeon1 != pigeon2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon1pigeon2) ).

thf(f55,plain,
    ~ spl0_6,
    inference(avatar_split_clause,[],[f20,f52]) ).

thf(f20,plain,
    pigeon3 != pigeon4,
    inference(cnf_transformation,[],[f7]) ).

thf(f7,axiom,
    pigeon3 != pigeon4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon3pigeon4) ).

thf(f50,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f21,f47]) ).

thf(f21,plain,
    pigeon1 != pigeon3,
    inference(cnf_transformation,[],[f3]) ).

thf(f3,axiom,
    pigeon1 != pigeon3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon1pigeon3) ).

thf(f45,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f22,f42]) ).

thf(f22,plain,
    pigeon1 != pigeon4,
    inference(cnf_transformation,[],[f5]) ).

thf(f5,axiom,
    pigeon1 != pigeon4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon1pigeon4) ).

thf(f40,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f18,f37]) ).

thf(f18,plain,
    pigeon2 != pigeon4,
    inference(cnf_transformation,[],[f6]) ).

thf(f6,axiom,
    pigeon2 != pigeon4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon2pigeon4) ).

thf(f30,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f24,f27]) ).

thf(f24,plain,
    pigeon2 != pigeon3,
    inference(cnf_transformation,[],[f4]) ).

thf(f4,axiom,
    pigeon2 != pigeon3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon2pigeon3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.16  % Problem    : MSC007^1.003.004 : TPTP v8.2.0. Released v5.4.0.
% 0.18/0.18  % 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
% 0.18/0.40  % Computer : n019.cluster.edu
% 0.18/0.40  % Model    : x86_64 x86_64
% 0.18/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40  % Memory   : 8042.1875MB
% 0.18/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40  % CPULimit   : 300
% 0.18/0.40  % WCLimit    : 300
% 0.18/0.40  % DateTime   : Sun May 19 22:59:53 EDT 2024
% 0.18/0.40  % CPUTime    : 
% 0.18/0.40  This is a TH0_THM_EQU_NAR problem
% 0.18/0.41  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
% 0.18/0.43  % (8934)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.43  % (8927)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.18/0.43  % (8928)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 (2999ds/4Mi)
% 0.18/0.43  % (8931)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 (2999ds/2Mi)
% 0.18/0.43  % (8934)Instruction limit reached!
% 0.18/0.43  % (8934)------------------------------
% 0.18/0.43  % (8934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (8934)Termination reason: Unknown
% 0.18/0.43  % (8934)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (8934)Memory used [KB]: 5500
% 0.18/0.43  % (8934)Time elapsed: 0.004 s
% 0.18/0.43  % (8934)Instructions burned: 3 (million)
% 0.18/0.43  % (8934)------------------------------
% 0.18/0.43  % (8934)------------------------------
% 0.18/0.43  % (8931)Instruction limit reached!
% 0.18/0.43  % (8931)------------------------------
% 0.18/0.43  % (8931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (8932)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 (2999ds/275Mi)
% 0.18/0.43  % (8931)Termination reason: Unknown
% 0.18/0.43  % (8931)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (8931)Memory used [KB]: 5500
% 0.18/0.43  % (8931)Time elapsed: 0.004 s
% 0.18/0.43  % (8931)Instructions burned: 2 (million)
% 0.18/0.43  % (8931)------------------------------
% 0.18/0.43  % (8931)------------------------------
% 0.18/0.43  % (8932)Refutation not found, incomplete strategy
% 0.18/0.43  % (8932)------------------------------
% 0.18/0.43  % (8932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (8932)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  % (8932)Memory used [KB]: 5373
% 0.18/0.43  % (8932)Time elapsed: 0.004 s
% 0.18/0.43  % (8932)Instructions burned: 1 (million)
% 0.18/0.43  % (8932)------------------------------
% 0.18/0.43  % (8932)------------------------------
% 0.18/0.43  % (8928)Instruction limit reached!
% 0.18/0.43  % (8928)------------------------------
% 0.18/0.43  % (8928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (8928)Termination reason: Unknown
% 0.18/0.43  % (8928)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (8928)Memory used [KB]: 5500
% 0.18/0.43  % (8928)Time elapsed: 0.005 s
% 0.18/0.43  % (8928)Instructions burned: 5 (million)
% 0.18/0.43  % (8928)------------------------------
% 0.18/0.43  % (8928)------------------------------
% 0.18/0.44  % (8933)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.44  % (8930)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.44  % (8930)Instruction limit reached!
% 0.18/0.44  % (8930)------------------------------
% 0.18/0.44  % (8930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44  % (8930)Termination reason: Unknown
% 0.18/0.44  % (8930)Termination phase: Saturation
% 0.18/0.44  
% 0.18/0.44  % (8930)Memory used [KB]: 5500
% 0.18/0.44  % (8930)Time elapsed: 0.004 s
% 0.18/0.44  % (8930)Instructions burned: 2 (million)
% 0.18/0.44  % (8930)------------------------------
% 0.18/0.44  % (8930)------------------------------
% 0.18/0.44  % (8935)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)
% 0.18/0.44  % (8929)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 (2999ds/27Mi)
% 0.18/0.44  % (8937)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)
% 0.26/0.44  % (8936)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)
% 0.26/0.44  % (8937)Refutation not found, incomplete strategy
% 0.26/0.44  % (8937)------------------------------
% 0.26/0.44  % (8937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.44  % (8937)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.44  
% 0.26/0.44  
% 0.26/0.44  % (8937)Memory used [KB]: 5500
% 0.26/0.44  % (8937)Time elapsed: 0.003 s
% 0.26/0.44  % (8937)Instructions burned: 1 (million)
% 0.26/0.44  % (8937)------------------------------
% 0.26/0.44  % (8937)------------------------------
% 0.26/0.44  % (8936)Refutation not found, incomplete strategy
% 0.26/0.44  % (8936)------------------------------
% 0.26/0.44  % (8936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.44  % (8936)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.44  
% 0.26/0.44  
% 0.26/0.44  % (8936)Memory used [KB]: 5500
% 0.26/0.45  % (8936)Time elapsed: 0.003 s
% 0.26/0.45  % (8936)Instructions burned: 1 (million)
% 0.26/0.45  % (8936)------------------------------
% 0.26/0.45  % (8936)------------------------------
% 0.26/0.45  % (8929)Refutation not found, incomplete strategy
% 0.26/0.45  % (8929)------------------------------
% 0.26/0.45  % (8929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.45  % (8929)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.45  
% 0.26/0.45  
% 0.26/0.45  % (8929)Memory used [KB]: 5500
% 0.26/0.45  % (8929)Time elapsed: 0.005 s
% 0.26/0.45  % (8929)Instructions burned: 2 (million)
% 0.26/0.45  % (8929)------------------------------
% 0.26/0.45  % (8929)------------------------------
% 0.26/0.45  % (8933)Instruction limit reached!
% 0.26/0.45  % (8933)------------------------------
% 0.26/0.45  % (8933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.45  % (8933)Termination reason: Unknown
% 0.26/0.45  % (8933)Termination phase: Saturation
% 0.26/0.45  
% 0.26/0.45  % (8933)Memory used [KB]: 5500
% 0.26/0.45  % (8933)Time elapsed: 0.011 s
% 0.26/0.45  % (8933)Instructions burned: 18 (million)
% 0.26/0.45  % (8933)------------------------------
% 0.26/0.45  % (8933)------------------------------
% 0.26/0.45  % (8938)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)
% 0.26/0.46  % (8939)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.26/0.46  % (8935)Instruction limit reached!
% 0.26/0.46  % (8935)------------------------------
% 0.26/0.46  % (8935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46  % (8935)Termination reason: Unknown
% 0.26/0.46  % (8935)Termination phase: Saturation
% 0.26/0.46  
% 0.26/0.46  % (8935)Memory used [KB]: 5756
% 0.26/0.46  % (8935)Time elapsed: 0.020 s
% 0.26/0.46  % (8935)Instructions burned: 38 (million)
% 0.26/0.46  % (8935)------------------------------
% 0.26/0.46  % (8935)------------------------------
% 0.26/0.46  % (8940)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.26/0.46  % (8943)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)
% 0.26/0.46  % (8941)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)
% 0.26/0.46  % (8939)Instruction limit reached!
% 0.26/0.46  % (8939)------------------------------
% 0.26/0.46  % (8939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46  % (8939)Termination reason: Unknown
% 0.26/0.46  % (8939)Termination phase: Saturation
% 0.26/0.46  
% 0.26/0.46  % (8939)Memory used [KB]: 1023
% 0.26/0.46  % (8939)Time elapsed: 0.008 s
% 0.26/0.46  % (8939)Instructions burned: 7 (million)
% 0.26/0.46  % (8939)------------------------------
% 0.26/0.46  % (8939)------------------------------
% 0.26/0.46  % (8941)Instruction limit reached!
% 0.26/0.46  % (8941)------------------------------
% 0.26/0.46  % (8941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46  % (8943)Instruction limit reached!
% 0.26/0.46  % (8943)------------------------------
% 0.26/0.46  % (8943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46  % (8943)Termination reason: Unknown
% 0.26/0.46  % (8943)Termination phase: Saturation
% 0.26/0.46  
% 0.26/0.46  % (8943)Memory used [KB]: 5500
% 0.26/0.46  % (8943)Time elapsed: 0.006 s
% 0.26/0.46  % (8943)Instructions burned: 7 (million)
% 0.26/0.46  % (8943)------------------------------
% 0.26/0.46  % (8943)------------------------------
% 0.26/0.46  % (8941)Termination reason: Unknown
% 0.26/0.46  % (8941)Termination phase: Saturation
% 0.26/0.46  
% 0.26/0.46  % (8941)Memory used [KB]: 5500
% 0.26/0.46  % (8941)Time elapsed: 0.005 s
% 0.26/0.46  % (8941)Instructions burned: 3 (million)
% 0.26/0.46  % (8941)------------------------------
% 0.26/0.46  % (8941)------------------------------
% 0.26/0.47  % (8940)Instruction limit reached!
% 0.26/0.47  % (8940)------------------------------
% 0.26/0.47  % (8940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.47  % (8940)Termination reason: Unknown
% 0.26/0.47  % (8940)Termination phase: Saturation
% 0.26/0.47  
% 0.26/0.47  % (8940)Memory used [KB]: 5500
% 0.26/0.47  % (8940)Time elapsed: 0.011 s
% 0.26/0.47  % (8940)Instructions burned: 17 (million)
% 0.26/0.47  % (8940)------------------------------
% 0.26/0.47  % (8940)------------------------------
% 0.26/0.47  % (8942)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)
% 0.26/0.47  % (8942)Instruction limit reached!
% 0.26/0.47  % (8942)------------------------------
% 0.26/0.47  % (8942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.47  % (8942)Termination reason: Unknown
% 0.26/0.47  % (8942)Termination phase: Saturation
% 0.26/0.47  
% 0.26/0.47  % (8942)Memory used [KB]: 5500
% 0.26/0.47  % (8942)Time elapsed: 0.004 s
% 0.26/0.47  % (8942)Instructions burned: 3 (million)
% 0.26/0.47  % (8942)------------------------------
% 0.26/0.47  % (8942)------------------------------
% 0.26/0.48  % (8945)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.26/0.48  % (8944)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)
% 0.26/0.48  % (8946)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)
% 0.26/0.48  % (8945)Instruction limit reached!
% 0.26/0.48  % (8945)------------------------------
% 0.26/0.48  % (8945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48  % (8945)Termination reason: Unknown
% 0.26/0.48  % (8945)Termination phase: Saturation
% 0.26/0.48  
% 0.26/0.48  % (8945)Memory used [KB]: 5500
% 0.26/0.48  % (8945)Time elapsed: 0.028 s
% 0.26/0.48  % (8945)Instructions burned: 4 (million)
% 0.26/0.48  % (8945)------------------------------
% 0.26/0.48  % (8945)------------------------------
% 0.26/0.48  % (8944)Instruction limit reached!
% 0.26/0.48  % (8944)------------------------------
% 0.26/0.48  % (8944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48  % (8944)Termination reason: Unknown
% 0.26/0.48  % (8944)Termination phase: Saturation
% 0.26/0.48  
% 0.26/0.48  % (8944)Memory used [KB]: 5500
% 0.26/0.48  % (8944)Time elapsed: 0.028 s
% 0.26/0.48  % (8944)Instructions burned: 4 (million)
% 0.26/0.48  % (8944)------------------------------
% 0.26/0.48  % (8944)------------------------------
% 0.26/0.48  % (8947)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.26/0.48  % (8946)Refutation not found, incomplete strategy
% 0.26/0.48  % (8946)------------------------------
% 0.26/0.48  % (8946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48  % (8946)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.48  
% 0.26/0.48  
% 0.26/0.48  % (8946)Memory used [KB]: 5500
% 0.26/0.48  % (8946)Time elapsed: 0.003 s
% 0.26/0.48  % (8946)Instructions burned: 1 (million)
% 0.26/0.48  % (8946)------------------------------
% 0.26/0.48  % (8946)------------------------------
% 0.26/0.48  % (8948)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.26/0.49  % (8948)Instruction limit reached!
% 0.26/0.49  % (8948)------------------------------
% 0.26/0.49  % (8948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.49  % (8948)Termination reason: Unknown
% 0.26/0.49  % (8948)Termination phase: Saturation
% 0.26/0.49  
% 0.26/0.49  % (8948)Memory used [KB]: 5500
% 0.26/0.49  % (8948)Time elapsed: 0.030 s
% 0.26/0.49  % (8948)Instructions burned: 7 (million)
% 0.26/0.49  % (8948)------------------------------
% 0.26/0.49  % (8948)------------------------------
% 0.26/0.49  % (8949)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)
% 0.26/0.49  % (8949)Refutation not found, incomplete strategy
% 0.26/0.49  % (8949)------------------------------
% 0.26/0.49  % (8949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.49  % (8949)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.49  
% 0.26/0.49  
% 0.26/0.49  % (8949)Memory used [KB]: 5373
% 0.26/0.49  % (8949)Time elapsed: 0.026 s
% 0.26/0.49  % (8949)Instructions burned: 1 (million)
% 0.26/0.49  % (8949)------------------------------
% 0.26/0.49  % (8949)------------------------------
% 0.26/0.49  % (8950)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)
% 0.26/0.50  % (8952)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)
% 0.26/0.50  % (8951)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.26/0.50  % (8952)Refutation not found, incomplete strategy
% 0.26/0.50  % (8952)------------------------------
% 0.26/0.50  % (8952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.50  % (8952)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.50  
% 0.26/0.50  
% 0.26/0.50  % (8952)Memory used [KB]: 5500
% 0.26/0.50  % (8952)Time elapsed: 0.004 s
% 0.26/0.50  % (8952)Instructions burned: 2 (million)
% 0.26/0.50  % (8952)------------------------------
% 0.26/0.50  % (8952)------------------------------
% 0.26/0.50  % (8951)Instruction limit reached!
% 0.26/0.50  % (8951)------------------------------
% 0.26/0.50  % (8951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.50  % (8951)Termination reason: Unknown
% 0.26/0.50  % (8951)Termination phase: Saturation
% 0.26/0.50  
% 0.26/0.50  % (8951)Memory used [KB]: 5500
% 0.26/0.50  % (8951)Time elapsed: 0.005 s
% 0.26/0.50  % (8951)Instructions burned: 6 (million)
% 0.26/0.50  % (8951)------------------------------
% 0.26/0.50  % (8951)------------------------------
% 0.26/0.50  % (8953)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.26/0.51  % (8950)Instruction limit reached!
% 0.26/0.51  % (8950)------------------------------
% 0.26/0.51  % (8950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.51  % (8950)Termination reason: Unknown
% 0.26/0.51  % (8950)Termination phase: Saturation
% 0.26/0.51  
% 0.26/0.51  % (8950)Memory used [KB]: 5628
% 0.26/0.51  % (8950)Time elapsed: 0.017 s
% 0.26/0.51  % (8950)Instructions burned: 21 (million)
% 0.26/0.51  % (8950)------------------------------
% 0.26/0.51  % (8950)------------------------------
% 0.26/0.51  % (8956)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)
% 0.26/0.51  % (8954)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)
% 0.26/0.51  % (8955)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)
% 0.26/0.52  % (8955)Refutation not found, incomplete strategy
% 0.26/0.52  % (8955)------------------------------
% 0.26/0.52  % (8955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.52  % (8954)Refutation not found, incomplete strategy
% 0.26/0.52  % (8954)------------------------------
% 0.26/0.52  % (8954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.52  % (8955)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.52  
% 0.26/0.52  
% 0.26/0.52  % (8955)Memory used [KB]: 5500
% 0.26/0.52  % (8955)Time elapsed: 0.004 s
% 0.26/0.52  % (8955)Instructions burned: 2 (million)
% 0.26/0.52  % (8955)------------------------------
% 0.26/0.52  % (8955)------------------------------
% 0.26/0.52  % (8954)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.52  
% 0.26/0.52  
% 0.26/0.52  % (8954)Memory used [KB]: 5500
% 0.26/0.52  % (8954)Time elapsed: 0.004 s
% 0.26/0.52  % (8954)Instructions burned: 3 (million)
% 0.26/0.52  % (8954)------------------------------
% 0.26/0.52  % (8954)------------------------------
% 0.26/0.53  % (8958)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.26/0.53  % (8959)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.26/0.53  % (8958)Instruction limit reached!
% 0.26/0.53  % (8958)------------------------------
% 0.26/0.53  % (8958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.53  % (8958)Termination reason: Unknown
% 0.26/0.53  % (8958)Termination phase: Saturation
% 0.26/0.53  
% 0.26/0.53  % (8958)Memory used [KB]: 1023
% 0.26/0.53  % (8958)Time elapsed: 0.003 s
% 0.26/0.53  % (8958)Instructions burned: 3 (million)
% 0.26/0.53  % (8958)------------------------------
% 0.26/0.53  % (8958)------------------------------
% 0.26/0.53  % (8959)Refutation not found, incomplete strategy
% 0.26/0.53  % (8959)------------------------------
% 0.26/0.53  % (8959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.53  % (8959)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.53  
% 0.26/0.53  
% 0.26/0.53  % (8959)Memory used [KB]: 5500
% 0.26/0.53  % (8959)Time elapsed: 0.004 s
% 0.26/0.53  % (8959)Instructions burned: 3 (million)
% 0.26/0.53  % (8959)------------------------------
% 0.26/0.53  % (8959)------------------------------
% 0.26/0.54  % (8957)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.26/0.55  % (8960)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)
% 1.11/0.55  % (8961)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.11/0.55  % (8961)Refutation not found, incomplete strategy
% 1.11/0.55  % (8961)------------------------------
% 1.11/0.55  % (8961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.55  % (8961)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.55  
% 1.11/0.55  
% 1.11/0.55  % (8961)Memory used [KB]: 5500
% 1.11/0.55  % (8961)Time elapsed: 0.003 s
% 1.11/0.55  % (8961)Instructions burned: 2 (million)
% 1.11/0.55  % (8961)------------------------------
% 1.11/0.55  % (8961)------------------------------
% 1.11/0.55  % (8957)First to succeed.
% 1.11/0.55  % (8927)Instruction limit reached!
% 1.11/0.55  % (8927)------------------------------
% 1.11/0.55  % (8927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.55  % (8927)Termination reason: Unknown
% 1.11/0.55  % (8927)Termination phase: Saturation
% 1.11/0.55  
% 1.11/0.55  % (8927)Memory used [KB]: 5756
% 1.11/0.55  % (8927)Time elapsed: 0.109 s
% 1.11/0.55  % (8927)Instructions burned: 186 (million)
% 1.11/0.55  % (8927)------------------------------
% 1.11/0.55  % (8927)------------------------------
% 1.11/0.55  % (8957)Refutation found. Thanks to Tanya!
% 1.11/0.55  % SZS status Theorem for theBenchmark
% 1.11/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.11/0.55  % (8957)------------------------------
% 1.11/0.55  % (8957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.11/0.55  % (8957)Termination reason: Refutation
% 1.11/0.55  
% 1.11/0.55  % (8957)Memory used [KB]: 5628
% 1.11/0.55  % (8957)Time elapsed: 0.015 s
% 1.11/0.55  % (8957)Instructions burned: 9 (million)
% 1.11/0.55  % (8957)------------------------------
% 1.11/0.55  % (8957)------------------------------
% 1.11/0.55  % (8926)Success in time 0.135 s
% 1.11/0.55  % Vampire---4.8 exiting
%------------------------------------------------------------------------------