TSTP Solution File: SET593^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET593^5 : 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 : n018.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 09:07:25 EDT 2024

% Result   : Theorem 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   61 (   2 unt;   9 typ;   0 def)
%            Number of atoms       :  446 ( 143 equ;   0 cnn)
%            Maximal formula atoms :   14 (   8 avg)
%            Number of connectives :  513 (  98   ~;  73   |;  56   &; 259   @)
%                                         (   4 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   69 (  69   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :   91 (   0   ^  62   !;  28   ?;  91   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_4,type,
    sP0: ( a > $o ) > ( a > $o ) > ( a > $o ) > $o ).

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

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

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

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

thf(func_def_9,type,
    sK5: a ).

thf(func_def_12,type,
    ph7: 
      !>[X0: $tType] : X0 ).

thf(f61,plain,
    $false,
    inference(avatar_sat_refutation,[],[f34,f39,f44,f55,f60]) ).

thf(f60,plain,
    ( spl6_1
    | spl6_3
    | ~ spl6_4 ),
    inference(avatar_contradiction_clause,[],[f59]) ).

thf(f59,plain,
    ( $false
    | spl6_1
    | spl6_3
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f58,f38]) ).

thf(f38,plain,
    ( ( $true
     != ( sK3 @ sK5 ) )
    | spl6_3 ),
    inference(avatar_component_clause,[],[f36]) ).

thf(f36,plain,
    ( spl6_3
  <=> ( $true
      = ( sK3 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

thf(f58,plain,
    ( ( $true
      = ( sK3 @ sK5 ) )
    | spl6_1
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f57,f29]) ).

thf(f29,plain,
    ( ( ( sK2 @ sK5 )
     != $true )
    | spl6_1 ),
    inference(avatar_component_clause,[],[f27]) ).

thf(f27,plain,
    ( spl6_1
  <=> ( ( sK2 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

thf(f57,plain,
    ( ( ( sK2 @ sK5 )
      = $true )
    | ( $true
      = ( sK3 @ sK5 ) )
    | ~ spl6_4 ),
    inference(trivial_inequality_removal,[],[f56]) ).

thf(f56,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK3 @ sK5 ) )
    | ( ( sK2 @ sK5 )
      = $true )
    | ~ spl6_4 ),
    inference(superposition,[],[f22,f43]) ).

thf(f43,plain,
    ( ( ( sK4 @ sK5 )
      = $true )
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f41]) ).

thf(f41,plain,
    ( spl6_4
  <=> ( ( sK4 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

thf(f22,plain,
    ! [X4: a] :
      ( ( ( sK4 @ X4 )
       != $true )
      | ( ( sK2 @ X4 )
        = $true )
      | ( ( sK3 @ X4 )
        = $true ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f18,plain,
    ( ( ( ( ( sK4 @ sK5 )
          = $true )
        & ( $true
         != ( sK3 @ sK5 ) )
        & ( ( sK2 @ sK5 )
         != $true ) )
      | ( $true
        = ( sP0 @ sK2 @ sK3 @ sK4 ) ) )
    & ! [X4: a] :
        ( ( ( sK2 @ X4 )
          = $true )
        | ( ( sK3 @ X4 )
          = $true )
        | ( ( sK4 @ X4 )
         != $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f15,f17,f16]) ).

thf(f16,plain,
    ( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ? [X3: a] :
              ( ( ( X2 @ X3 )
                = $true )
              & ( ( X1 @ X3 )
               != $true )
              & ( ( X0 @ X3 )
               != $true ) )
          | ( $true
            = ( sP0 @ X0 @ X1 @ X2 ) ) )
        & ! [X4: a] :
            ( ( $true
              = ( X0 @ X4 ) )
            | ( $true
              = ( X1 @ X4 ) )
            | ( ( X2 @ X4 )
             != $true ) ) )
   => ( ( ? [X3: a] :
            ( ( ( sK4 @ X3 )
              = $true )
            & ( $true
             != ( sK3 @ X3 ) )
            & ( ( sK2 @ X3 )
             != $true ) )
        | ( $true
          = ( sP0 @ sK2 @ sK3 @ sK4 ) ) )
      & ! [X4: a] :
          ( ( ( sK2 @ X4 )
            = $true )
          | ( ( sK3 @ X4 )
            = $true )
          | ( ( sK4 @ X4 )
           != $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f17,plain,
    ( ? [X3: a] :
        ( ( ( sK4 @ X3 )
          = $true )
        & ( $true
         != ( sK3 @ X3 ) )
        & ( ( sK2 @ X3 )
         != $true ) )
   => ( ( ( sK4 @ sK5 )
        = $true )
      & ( $true
       != ( sK3 @ sK5 ) )
      & ( ( sK2 @ sK5 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f15,plain,
    ? [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ? [X3: a] :
            ( ( ( X2 @ X3 )
              = $true )
            & ( ( X1 @ X3 )
             != $true )
            & ( ( X0 @ X3 )
             != $true ) )
        | ( $true
          = ( sP0 @ X0 @ X1 @ X2 ) ) )
      & ! [X4: a] :
          ( ( $true
            = ( X0 @ X4 ) )
          | ( $true
            = ( X1 @ X4 ) )
          | ( ( X2 @ X4 )
           != $true ) ) ),
    inference(rectify,[],[f10]) ).

thf(f10,plain,
    ? [X2: a > $o,X1: a > $o,X0: a > $o] :
      ( ( ? [X4: a] :
            ( ( $true
              = ( X0 @ X4 ) )
            & ( $true
             != ( X1 @ X4 ) )
            & ( ( X2 @ X4 )
             != $true ) )
        | ( ( sP0 @ X2 @ X1 @ X0 )
          = $true ) )
      & ! [X3: a] :
          ( ( ( X2 @ X3 )
            = $true )
          | ( ( X1 @ X3 )
            = $true )
          | ( ( X0 @ X3 )
           != $true ) ) ),
    inference(definition_folding,[],[f8,f9]) ).

thf(f9,plain,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ? [X5: a] :
          ( ( ( X0 @ X5 )
            = $true )
          & ( $true
           != ( X1 @ X5 ) )
          & ( ( X2 @ X5 )
           != $true ) )
      | ( ( sP0 @ X2 @ X1 @ X0 )
       != $true ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

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

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

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

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

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

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

thf(f1,conjecture,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ! [X3: a] :
          ( ( X0 @ X3 )
         => ( ( X2 @ X3 )
            | ( X1 @ X3 ) ) )
     => ( ! [X3: a] :
            ( ( ( X0 @ X3 )
              & ~ ( X2 @ X3 ) )
           => ( X1 @ X3 ) )
        & ! [X3: a] :
            ( ( ~ ( X1 @ X3 )
              & ( X0 @ X3 ) )
           => ( X2 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8cFb63LpkN/Vampire---4.8_11988',cBOOL_PROP_52_pme) ).

thf(f55,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f54]) ).

thf(f54,plain,
    ( $false
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f53,f48]) ).

thf(f48,plain,
    ( ( ( sK3 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
     != $true )
    | ~ spl6_2 ),
    inference(trivial_inequality_removal,[],[f47]) ).

thf(f47,plain,
    ( ( $true != $true )
    | ( ( sK3 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
     != $true )
    | ~ spl6_2 ),
    inference(superposition,[],[f20,f33]) ).

thf(f33,plain,
    ( ( $true
      = ( sP0 @ sK2 @ sK3 @ sK4 ) )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f31]) ).

thf(f31,plain,
    ( spl6_2
  <=> ( $true
      = ( sP0 @ sK2 @ sK3 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

thf(f20,plain,
    ! [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ( sP0 @ X2 @ X1 @ X0 )
       != $true )
      | ( ( X1 @ ( sK1 @ X2 @ X1 @ X0 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ( ( X0 @ ( sK1 @ X2 @ X1 @ X0 ) )
          = $true )
        & ( ( X1 @ ( sK1 @ X2 @ X1 @ X0 ) )
         != $true )
        & ( ( X2 @ ( sK1 @ X2 @ X1 @ X0 ) )
         != $true ) )
      | ( ( sP0 @ X2 @ X1 @ X0 )
       != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f13]) ).

thf(f13,plain,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ? [X3: a] :
          ( ( ( X0 @ X3 )
            = $true )
          & ( ( X1 @ X3 )
           != $true )
          & ( ( X2 @ X3 )
           != $true ) )
     => ( ( ( X0 @ ( sK1 @ X2 @ X1 @ X0 ) )
          = $true )
        & ( ( X1 @ ( sK1 @ X2 @ X1 @ X0 ) )
         != $true )
        & ( ( X2 @ ( sK1 @ X2 @ X1 @ X0 ) )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ? [X3: a] :
          ( ( ( X0 @ X3 )
            = $true )
          & ( ( X1 @ X3 )
           != $true )
          & ( ( X2 @ X3 )
           != $true ) )
      | ( ( sP0 @ X2 @ X1 @ X0 )
       != $true ) ),
    inference(rectify,[],[f11]) ).

thf(f11,plain,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ? [X5: a] :
          ( ( ( X0 @ X5 )
            = $true )
          & ( $true
           != ( X1 @ X5 ) )
          & ( ( X2 @ X5 )
           != $true ) )
      | ( ( sP0 @ X2 @ X1 @ X0 )
       != $true ) ),
    inference(nnf_transformation,[],[f9]) ).

thf(f53,plain,
    ( ( ( sK3 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
      = $true )
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f52,f46]) ).

thf(f46,plain,
    ( ( ( sK2 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
     != $true )
    | ~ spl6_2 ),
    inference(trivial_inequality_removal,[],[f45]) ).

thf(f45,plain,
    ( ( $true != $true )
    | ( ( sK2 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
     != $true )
    | ~ spl6_2 ),
    inference(superposition,[],[f19,f33]) ).

thf(f19,plain,
    ! [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ( sP0 @ X2 @ X1 @ X0 )
       != $true )
      | ( ( X2 @ ( sK1 @ X2 @ X1 @ X0 ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f52,plain,
    ( ( ( sK2 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
      = $true )
    | ( ( sK3 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
      = $true )
    | ~ spl6_2 ),
    inference(trivial_inequality_removal,[],[f51]) ).

thf(f51,plain,
    ( ( ( sK3 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
      = $true )
    | ( ( sK2 @ ( sK1 @ sK2 @ sK3 @ sK4 ) )
      = $true )
    | ( $true != $true )
    | ~ spl6_2 ),
    inference(superposition,[],[f22,f50]) ).

thf(f50,plain,
    ( ( $true
      = ( sK4 @ ( sK1 @ sK2 @ sK3 @ sK4 ) ) )
    | ~ spl6_2 ),
    inference(trivial_inequality_removal,[],[f49]) ).

thf(f49,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK4 @ ( sK1 @ sK2 @ sK3 @ sK4 ) ) )
    | ~ spl6_2 ),
    inference(superposition,[],[f21,f33]) ).

thf(f21,plain,
    ! [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ( sP0 @ X2 @ X1 @ X0 )
       != $true )
      | ( ( X0 @ ( sK1 @ X2 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f44,plain,
    ( spl6_4
    | spl6_2 ),
    inference(avatar_split_clause,[],[f25,f31,f41]) ).

thf(f25,plain,
    ( ( $true
      = ( sP0 @ sK2 @ sK3 @ sK4 ) )
    | ( ( sK4 @ sK5 )
      = $true ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f39,plain,
    ( ~ spl6_3
    | spl6_2 ),
    inference(avatar_split_clause,[],[f24,f31,f36]) ).

thf(f24,plain,
    ( ( $true
     != ( sK3 @ sK5 ) )
    | ( $true
      = ( sP0 @ sK2 @ sK3 @ sK4 ) ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f34,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f23,f31,f27]) ).

thf(f23,plain,
    ( ( $true
      = ( sP0 @ sK2 @ sK3 @ sK4 ) )
    | ( ( sK2 @ sK5 )
     != $true ) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET593^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 16:36:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35  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.8cFb63LpkN/Vampire---4.8_11988
% 0.14/0.37  % (12096)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.14/0.37  % (12100)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 (3000ds/2Mi)
% 0.14/0.37  % (12097)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 (3000ds/4Mi)
% 0.14/0.37  % (12101)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 (3000ds/275Mi)
% 0.14/0.37  % (12102)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.14/0.37  % (12100)Instruction limit reached!
% 0.14/0.37  % (12100)------------------------------
% 0.14/0.37  % (12100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (12100)Termination reason: Unknown
% 0.14/0.37  % (12100)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (12100)Memory used [KB]: 895
% 0.14/0.37  % (12100)Time elapsed: 0.003 s
% 0.14/0.37  % (12100)Instructions burned: 2 (million)
% 0.14/0.37  % (12100)------------------------------
% 0.14/0.37  % (12100)------------------------------
% 0.20/0.37  % (12099)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.20/0.37  % (12103)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 (3000ds/3Mi)
% 0.20/0.37  % (12099)Instruction limit reached!
% 0.20/0.37  % (12099)------------------------------
% 0.20/0.37  % (12099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (12099)Termination reason: Unknown
% 0.20/0.37  % (12099)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (12099)Memory used [KB]: 5500
% 0.20/0.37  % (12099)Time elapsed: 0.003 s
% 0.20/0.37  % (12099)Instructions burned: 2 (million)
% 0.20/0.37  % (12099)------------------------------
% 0.20/0.37  % (12099)------------------------------
% 0.20/0.37  % (12097)Instruction limit reached!
% 0.20/0.37  % (12097)------------------------------
% 0.20/0.37  % (12097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (12097)Termination reason: Unknown
% 0.20/0.37  % (12097)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (12097)Memory used [KB]: 5500
% 0.20/0.37  % (12097)Time elapsed: 0.006 s
% 0.20/0.37  % (12097)Instructions burned: 5 (million)
% 0.20/0.37  % (12097)------------------------------
% 0.20/0.37  % (12097)------------------------------
% 0.20/0.37  % (12102)First to succeed.
% 0.20/0.37  % (12103)Instruction limit reached!
% 0.20/0.37  % (12103)------------------------------
% 0.20/0.37  % (12103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (12103)Termination reason: Unknown
% 0.20/0.37  % (12103)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (12103)Memory used [KB]: 5500
% 0.20/0.37  % (12103)Time elapsed: 0.004 s
% 0.20/0.37  % (12103)Instructions burned: 3 (million)
% 0.20/0.37  % (12103)------------------------------
% 0.20/0.37  % (12103)------------------------------
% 0.20/0.37  % (12098)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 (3000ds/27Mi)
% 0.20/0.38  % (12101)Also succeeded, but the first one will report.
% 0.20/0.38  % (12102)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Theorem for Vampire---4
% 0.20/0.38  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.38  % (12102)------------------------------
% 0.20/0.38  % (12102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38  % (12102)Termination reason: Refutation
% 0.20/0.38  
% 0.20/0.38  % (12102)Memory used [KB]: 5500
% 0.20/0.38  % (12102)Time elapsed: 0.007 s
% 0.20/0.38  % (12102)Instructions burned: 4 (million)
% 0.20/0.38  % (12102)------------------------------
% 0.20/0.38  % (12102)------------------------------
% 0.20/0.38  % (12095)Success in time 0.005 s
% 0.20/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------