TSTP Solution File: SEV382^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV382^5 : TPTP v8.1.2. 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 : n013.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 : Sun May  5 09:42:59 EDT 2024

% Result   : Theorem 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   51 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :  329 ( 130 equ;   0 cnn)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives :  469 ( 104   ~;  57   |;  38   &; 239   @)
%                                         (   2 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   57 (  57   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  156 (  22   ^  97   !;  36   ?; 156   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

thf(func_def_6,type,
    sK2: a ).

thf(func_def_7,type,
    sK3: ( a > $o ) > a ).

thf(func_def_8,type,
    sK4: a > a ).

thf(func_def_11,type,
    ph6: 
      !>[X0: $tType] : X0 ).

thf(f194,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f184,f193]) ).

thf(f193,plain,
    ( spl5_7
    | ~ spl5_10 ),
    inference(avatar_split_clause,[],[f190,f173,f116]) ).

thf(f116,plain,
    ( spl5_7
  <=> ! [X0: a] :
        ( ( sK1 @ X0 )
        = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

thf(f173,plain,
    ( spl5_10
  <=> ( ( sK1
        @ ( sK3
          @ ^ [Y0: a] :
              ~ ( sK1 @ Y0 ) ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

thf(f190,plain,
    ( ! [X0: a] :
        ( ( sK1 @ X0 )
        = $true )
    | ~ spl5_10 ),
    inference(trivial_inequality_removal,[],[f188]) ).

thf(f188,plain,
    ( ! [X0: a] :
        ( ( $false = $true )
        | ( ( sK1 @ X0 )
          = $true ) )
    | ~ spl5_10 ),
    inference(superposition,[],[f175,f27]) ).

thf(f27,plain,
    ! [X6: a,X9: a > $o] :
      ( ( ( X9
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( X9 @ Y0 ) ) )
        = $false )
      | ( ( X9 @ X6 )
        = $true ) ),
    inference(not_proxy_clausification,[],[f26]) ).

thf(f26,plain,
    ! [X6: a,X9: a > $o] :
      ( ( ( ~ ( X9
              @ ( sK3
                @ ^ [Y0: a] :
                    ~ ( X9 @ Y0 ) ) ) )
        = $true )
      | ( ( X9 @ X6 )
        = $true ) ),
    inference(not_proxy_clausification,[],[f25]) ).

thf(f25,plain,
    ! [X6: a,X9: a > $o] :
      ( ( ( ~ ( X9 @ X6 ) )
       != $true )
      | ( ( ~ ( X9
              @ ( sK3
                @ ^ [Y0: a] :
                    ~ ( X9 @ Y0 ) ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f23]) ).

thf(f23,plain,
    ! [X6: a,X9: a > $o] :
      ( ( ( ^ [Y0: a] :
              ~ ( X9 @ Y0 )
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( X9 @ Y0 ) ) )
        = $true )
      | ( ( ^ [Y0: a] :
              ~ ( X9 @ Y0 )
          @ X6 )
       != $true ) ),
    inference(primitive_instantiation,[],[f18]) ).

thf(f18,plain,
    ! [X3: a > $o,X6: a] :
      ( ( $true
        = ( X3 @ ( sK3 @ X3 ) ) )
      | ( $true
       != ( X3 @ X6 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ( ( sK1 @ sK2 )
     != $true )
    & ! [X3: a > $o] :
        ( ( ( $true
            = ( X3 @ ( sK3 @ X3 ) ) )
          & ! [X5: a] :
              ( ( ( X3 @ X5 )
               != $true )
              | ( ( sK0 @ X5 @ ( sK3 @ X3 ) )
               != $true ) ) )
        | ! [X6: a] :
            ( $true
           != ( X3 @ X6 ) ) )
    & ! [X7: a] :
        ( ( ( sK1 @ X7 )
          = $true )
        | ( ( ( sK0 @ ( sK4 @ X7 ) @ X7 )
            = $true )
          & ( $true
           != ( sK1 @ ( sK4 @ X7 ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f9,f13,f12,f11,f10]) ).

thf(f10,plain,
    ( ? [X0: a > a > $o,X1: a > $o] :
        ( ? [X2: a] :
            ( ( X1 @ X2 )
           != $true )
        & ! [X3: a > $o] :
            ( ? [X4: a] :
                ( ( ( X3 @ X4 )
                  = $true )
                & ! [X5: a] :
                    ( ( ( X3 @ X5 )
                     != $true )
                    | ( ( X0 @ X5 @ X4 )
                     != $true ) ) )
            | ! [X6: a] :
                ( $true
               != ( X3 @ X6 ) ) )
        & ! [X7: a] :
            ( ( ( X1 @ X7 )
              = $true )
            | ? [X8: a] :
                ( ( ( X0 @ X8 @ X7 )
                  = $true )
                & ( ( X1 @ X8 )
                 != $true ) ) ) )
   => ( ? [X2: a] :
          ( ( sK1 @ X2 )
         != $true )
      & ! [X3: a > $o] :
          ( ? [X4: a] :
              ( ( ( X3 @ X4 )
                = $true )
              & ! [X5: a] :
                  ( ( ( X3 @ X5 )
                   != $true )
                  | ( $true
                   != ( sK0 @ X5 @ X4 ) ) ) )
          | ! [X6: a] :
              ( $true
             != ( X3 @ X6 ) ) )
      & ! [X7: a] :
          ( ( ( sK1 @ X7 )
            = $true )
          | ? [X8: a] :
              ( ( ( sK0 @ X8 @ X7 )
                = $true )
              & ( ( sK1 @ X8 )
               != $true ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X2: a] :
        ( ( sK1 @ X2 )
       != $true )
   => ( ( sK1 @ sK2 )
     != $true ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ! [X3: a > $o] :
      ( ? [X4: a] :
          ( ( ( X3 @ X4 )
            = $true )
          & ! [X5: a] :
              ( ( ( X3 @ X5 )
               != $true )
              | ( $true
               != ( sK0 @ X5 @ X4 ) ) ) )
     => ( ( $true
          = ( X3 @ ( sK3 @ X3 ) ) )
        & ! [X5: a] :
            ( ( ( X3 @ X5 )
             != $true )
            | ( ( sK0 @ X5 @ ( sK3 @ X3 ) )
             != $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X7: a] :
      ( ? [X8: a] :
          ( ( ( sK0 @ X8 @ X7 )
            = $true )
          & ( ( sK1 @ X8 )
           != $true ) )
     => ( ( ( sK0 @ ( sK4 @ X7 ) @ X7 )
          = $true )
        & ( $true
         != ( sK1 @ ( sK4 @ X7 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f9,plain,
    ? [X0: a > a > $o,X1: a > $o] :
      ( ? [X2: a] :
          ( ( X1 @ X2 )
         != $true )
      & ! [X3: a > $o] :
          ( ? [X4: a] :
              ( ( ( X3 @ X4 )
                = $true )
              & ! [X5: a] :
                  ( ( ( X3 @ X5 )
                   != $true )
                  | ( ( X0 @ X5 @ X4 )
                   != $true ) ) )
          | ! [X6: a] :
              ( $true
             != ( X3 @ X6 ) ) )
      & ! [X7: a] :
          ( ( ( X1 @ X7 )
            = $true )
          | ? [X8: a] :
              ( ( ( X0 @ X8 @ X7 )
                = $true )
              & ( ( X1 @ X8 )
               != $true ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f8,plain,
    ? [X0: a > a > $o,X1: a > $o] :
      ( ? [X8: a] :
          ( ( X1 @ X8 )
         != $true )
      & ! [X2: a > $o] :
          ( ? [X4: a] :
              ( ( ( X2 @ X4 )
                = $true )
              & ! [X5: a] :
                  ( ( ( X2 @ X5 )
                   != $true )
                  | ( ( X0 @ X5 @ X4 )
                   != $true ) ) )
          | ! [X3: a] :
              ( ( X2 @ X3 )
             != $true ) )
      & ! [X6: a] :
          ( ( ( X1 @ X6 )
            = $true )
          | ? [X7: a] :
              ( ( ( X0 @ X7 @ X6 )
                = $true )
              & ( ( X1 @ X7 )
               != $true ) ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ? [X0: a > a > $o,X1: a > $o] :
      ( ? [X8: a] :
          ( ( X1 @ X8 )
         != $true )
      & ! [X6: a] :
          ( ( ( X1 @ X6 )
            = $true )
          | ? [X7: a] :
              ( ( ( X0 @ X7 @ X6 )
                = $true )
              & ( ( X1 @ X7 )
               != $true ) ) )
      & ! [X2: a > $o] :
          ( ? [X4: a] :
              ( ( ( X2 @ X4 )
                = $true )
              & ! [X5: a] :
                  ( ( ( X2 @ X5 )
                   != $true )
                  | ( ( X0 @ X5 @ X4 )
                   != $true ) ) )
          | ! [X3: a] :
              ( ( X2 @ X3 )
             != $true ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ! [X0: a > a > $o,X1: a > $o] :
        ( ( ! [X6: a] :
              ( ! [X7: a] :
                  ( ( ( X0 @ X7 @ X6 )
                    = $true )
                 => ( ( X1 @ X7 )
                    = $true ) )
             => ( ( X1 @ X6 )
                = $true ) )
          & ! [X2: a > $o] :
              ( ? [X3: a] :
                  ( ( X2 @ X3 )
                  = $true )
             => ? [X4: a] :
                  ( ( ( X2 @ X4 )
                    = $true )
                  & ! [X5: a] :
                      ( ( ( X0 @ X5 @ X4 )
                        = $true )
                     => ( ( X2 @ X5 )
                       != $true ) ) ) ) )
       => ! [X8: a] :
            ( ( X1 @ X8 )
            = $true ) ),
    inference(flattening,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > a > $o,X1: a > $o] :
        ( ( ! [X2: a > $o] :
              ( ? [X3: a] :
                  ( ( X2 @ X3 )
                  = $true )
             => ? [X4: a] :
                  ( ! [X5: a] :
                      ( ( ( X0 @ X5 @ X4 )
                        = $true )
                     => ( ( X2 @ X5 )
                       != $true ) )
                  & ( ( X2 @ X4 )
                    = $true ) ) )
          & ! [X6: a] :
              ( ! [X7: a] :
                  ( ( ( X0 @ X7 @ X6 )
                    = $true )
                 => ( ( X1 @ X7 )
                    = $true ) )
             => ( ( X1 @ X6 )
                = $true ) ) )
       => ! [X8: a] :
            ( ( X1 @ X8 )
            = $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a > a > $o,X1: a > $o] :
        ( ( ! [X2: a > $o] :
              ( ? [X3: a] : ( X2 @ X3 )
             => ? [X4: a] :
                  ( ! [X5: a] :
                      ( ( X0 @ X5 @ X4 )
                     => ~ ( X2 @ X5 ) )
                  & ( X2 @ X4 ) ) )
          & ! [X6: a] :
              ( ! [X7: a] :
                  ( ( X0 @ X7 @ X6 )
                 => ( X1 @ X7 ) )
             => ( X1 @ X6 ) ) )
       => ! [X8: a] : ( X1 @ X8 ) ),
    inference(rectify,[],[f2]) ).

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

thf(f1,conjecture,
    ! [X0: a > a > $o,X1: a > $o] :
      ( ( ! [X2: a > $o] :
            ( ? [X3: a] : ( X2 @ X3 )
           => ? [X4: a] :
                ( ! [X5: a] :
                    ( ( X0 @ X5 @ X4 )
                   => ~ ( X2 @ X5 ) )
                & ( X2 @ X4 ) ) )
        & ! [X6: a] :
            ( ! [X4: a] :
                ( ( X0 @ X4 @ X6 )
               => ( X1 @ X4 ) )
           => ( X1 @ X6 ) ) )
     => ! [X6: a] : ( X1 @ X6 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JQ538Qcd0o/Vampire---4.8_31193',cTRANS_IND) ).

thf(f175,plain,
    ( ( ( sK1
        @ ( sK3
          @ ^ [Y0: a] :
              ~ ( sK1 @ Y0 ) ) )
      = $true )
    | ~ spl5_10 ),
    inference(avatar_component_clause,[],[f173]) ).

thf(f184,plain,
    ~ spl5_7,
    inference(avatar_contradiction_clause,[],[f183]) ).

thf(f183,plain,
    ( $false
    | ~ spl5_7 ),
    inference(trivial_inequality_removal,[],[f178]) ).

thf(f178,plain,
    ( ( $true != $true )
    | ~ spl5_7 ),
    inference(superposition,[],[f19,f117]) ).

thf(f117,plain,
    ( ! [X0: a] :
        ( ( sK1 @ X0 )
        = $true )
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f116]) ).

thf(f19,plain,
    ( ( sK1 @ sK2 )
   != $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f176,plain,
    ( spl5_7
    | spl5_10 ),
    inference(avatar_split_clause,[],[f164,f173,f116]) ).

thf(f164,plain,
    ! [X0: a] :
      ( ( ( sK1 @ X0 )
        = $true )
      | ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( sK1 @ Y0 ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f163]) ).

thf(f163,plain,
    ! [X0: a] :
      ( ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( sK1 @ Y0 ) ) )
        = $true )
      | ( ( sK1 @ X0 )
        = $true )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f149]) ).

thf(f149,plain,
    ! [X0: a] :
      ( ( $true != $true )
      | ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( sK1 @ Y0 ) ) )
        = $true )
      | ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( sK1 @ Y0 ) ) )
        = $true )
      | ( ( sK1 @ X0 )
        = $true ) ),
    inference(superposition,[],[f15,f90]) ).

thf(f90,plain,
    ! [X1: a,X4: a > $o] :
      ( ( ( X4
          @ ( sK4
            @ ( sK3
              @ ^ [Y0: a] :
                  ~ ( X4 @ Y0 ) ) ) )
        = $true )
      | ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( X4 @ Y0 ) ) )
        = $true )
      | ( ( X4 @ X1 )
        = $true ) ),
    inference(not_proxy_clausification,[],[f89]) ).

thf(f89,plain,
    ! [X1: a,X4: a > $o] :
      ( ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( X4 @ Y0 ) ) )
        = $true )
      | ( ( ~ ( X4 @ X1 ) )
       != $true )
      | ( ( X4
          @ ( sK4
            @ ( sK3
              @ ^ [Y0: a] :
                  ~ ( X4 @ Y0 ) ) ) )
        = $true ) ),
    inference(not_proxy_clausification,[],[f88]) ).

thf(f88,plain,
    ! [X1: a,X4: a > $o] :
      ( ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( X4 @ Y0 ) ) )
        = $true )
      | ( ( ~ ( X4
              @ ( sK4
                @ ( sK3
                  @ ^ [Y0: a] :
                      ~ ( X4 @ Y0 ) ) ) ) )
       != $true )
      | ( ( ~ ( X4 @ X1 ) )
       != $true ) ),
    inference(beta_eta_normalization,[],[f81]) ).

thf(f81,plain,
    ! [X1: a,X4: a > $o] :
      ( ( ( sK1
          @ ( sK3
            @ ^ [Y0: a] :
                ~ ( X4 @ Y0 ) ) )
        = $true )
      | ( ( ^ [Y0: a] :
              ~ ( X4 @ Y0 )
          @ X1 )
       != $true )
      | ( ( ^ [Y0: a] :
              ~ ( X4 @ Y0 )
          @ ( sK4
            @ ( sK3
              @ ^ [Y0: a] :
                  ~ ( X4 @ Y0 ) ) ) )
       != $true ) ),
    inference(primitive_instantiation,[],[f37]) ).

thf(f37,plain,
    ! [X0: a > $o,X1: a] :
      ( ( ( X0 @ ( sK4 @ ( sK3 @ X0 ) ) )
       != $true )
      | ( $true
        = ( sK1 @ ( sK3 @ X0 ) ) )
      | ( ( X0 @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f32]) ).

thf(f32,plain,
    ! [X0: a > $o,X1: a] :
      ( ( $true != $true )
      | ( $true
        = ( sK1 @ ( sK3 @ X0 ) ) )
      | ( ( X0 @ ( sK4 @ ( sK3 @ X0 ) ) )
       != $true )
      | ( ( X0 @ X1 )
       != $true ) ),
    inference(superposition,[],[f17,f16]) ).

thf(f16,plain,
    ! [X7: a] :
      ( ( ( sK0 @ ( sK4 @ X7 ) @ X7 )
        = $true )
      | ( ( sK1 @ X7 )
        = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f17,plain,
    ! [X3: a > $o,X6: a,X5: a] :
      ( ( ( sK0 @ X5 @ ( sK3 @ X3 ) )
       != $true )
      | ( $true
       != ( X3 @ X6 ) )
      | ( ( X3 @ X5 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f15,plain,
    ! [X7: a] :
      ( ( $true
       != ( sK1 @ ( sK4 @ X7 ) ) )
      | ( ( sK1 @ X7 )
        = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEV382^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n013.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   : Fri May  3 11:53:19 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/sandbox2/tmp/tmp.JQ538Qcd0o/Vampire---4.8_31193
% 0.15/0.39  % (31390)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.39  % (31385)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.39  % (31386)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39  % (31383)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.39  % (31384)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 Vampire---4 for (2999ds/4Mi)
% 0.15/0.39  % (31389)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39  % (31387)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39  % (31388)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.39  % (31386)Instruction limit reached!
% 0.15/0.39  % (31386)------------------------------
% 0.15/0.39  % (31386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (31386)Termination reason: Unknown
% 0.15/0.39  % (31386)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (31386)Memory used [KB]: 5500
% 0.15/0.39  % (31386)Time elapsed: 0.004 s
% 0.15/0.39  % (31386)Instructions burned: 2 (million)
% 0.15/0.39  % (31386)------------------------------
% 0.15/0.39  % (31386)------------------------------
% 0.15/0.39  % (31390)Instruction limit reached!
% 0.15/0.39  % (31390)------------------------------
% 0.15/0.39  % (31390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (31390)Termination reason: Unknown
% 0.15/0.39  % (31390)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (31390)Memory used [KB]: 5500
% 0.15/0.39  % (31390)Time elapsed: 0.005 s
% 0.15/0.39  % (31390)Instructions burned: 3 (million)
% 0.15/0.39  % (31390)------------------------------
% 0.15/0.39  % (31390)------------------------------
% 0.15/0.39  % (31385)Refutation not found, incomplete strategy
% 0.15/0.39  % (31385)------------------------------
% 0.15/0.39  % (31385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (31385)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  
% 0.15/0.39  % (31385)Memory used [KB]: 5500
% 0.15/0.39  % (31385)Time elapsed: 0.004 s
% 0.15/0.39  % (31385)Instructions burned: 2 (million)
% 0.15/0.39  % (31385)------------------------------
% 0.15/0.39  % (31385)------------------------------
% 0.15/0.39  % (31387)Instruction limit reached!
% 0.15/0.39  % (31387)------------------------------
% 0.15/0.39  % (31387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (31387)Termination reason: Unknown
% 0.15/0.40  % (31387)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (31387)Memory used [KB]: 895
% 0.15/0.40  % (31387)Time elapsed: 0.004 s
% 0.15/0.40  % (31387)Instructions burned: 2 (million)
% 0.15/0.40  % (31387)------------------------------
% 0.15/0.40  % (31387)------------------------------
% 0.15/0.40  % (31384)Instruction limit reached!
% 0.15/0.40  % (31384)------------------------------
% 0.15/0.40  % (31384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (31384)Termination reason: Unknown
% 0.15/0.40  % (31384)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (31384)Memory used [KB]: 5500
% 0.15/0.40  % (31384)Time elapsed: 0.007 s
% 0.15/0.40  % (31384)Instructions burned: 4 (million)
% 0.15/0.40  % (31384)------------------------------
% 0.15/0.40  % (31384)------------------------------
% 0.21/0.41  % (31389)Instruction limit reached!
% 0.21/0.41  % (31389)------------------------------
% 0.21/0.41  % (31389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (31389)Termination reason: Unknown
% 0.21/0.41  % (31389)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (31389)Memory used [KB]: 5628
% 0.21/0.41  % (31389)Time elapsed: 0.018 s
% 0.21/0.41  % (31389)Instructions burned: 18 (million)
% 0.21/0.41  % (31389)------------------------------
% 0.21/0.41  % (31389)------------------------------
% 0.21/0.41  % (31388)First to succeed.
% 0.21/0.41  % (31397)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 Vampire---4 for (2999ds/1041Mi)
% 0.21/0.41  % (31394)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 Vampire---4 for (2999ds/37Mi)
% 0.21/0.41  % (31395)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 Vampire---4 for (2999ds/15Mi)
% 0.21/0.41  % (31388)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Theorem for Vampire---4
% 0.21/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.41  % (31388)------------------------------
% 0.21/0.41  % (31388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (31388)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (31388)Memory used [KB]: 5628
% 0.21/0.41  % (31388)Time elapsed: 0.021 s
% 0.21/0.41  % (31388)Instructions burned: 16 (million)
% 0.21/0.41  % (31388)------------------------------
% 0.21/0.41  % (31388)------------------------------
% 0.21/0.41  % (31382)Success in time 0.031 s
% 0.21/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------