TSTP Solution File: SEU897^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU897^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 03:52:06 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   69 (   1 unt;  10 typ;   0 def)
%            Number of atoms       :  424 ( 145 equ;   0 cnn)
%            Maximal formula atoms :   12 (   7 avg)
%            Number of connectives :  464 ( 110   ~; 106   |;  34   &; 189   @)
%                                         (  12 <=>;  12  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :   95 (   2   ^  66   !;  26   ?;  95   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_1,type,
    cS: a > $o ).

thf(func_def_2,type,
    cR: a > $o ).

thf(func_def_6,type,
    sK0: a > a ).

thf(func_def_7,type,
    sK1: a ).

thf(func_def_8,type,
    sK2: a ).

thf(func_def_9,type,
    sK3: a ).

thf(func_def_10,type,
    sK4: a > ( a > a ) > a ).

thf(func_def_12,type,
    ph6: 
      !>[X0: $tType] : X0 ).

thf(f96,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f41,f45,f46,f53,f54,f58,f59,f67,f68,f95]) ).

thf(f95,plain,
    ( spl5_7
    | ~ spl5_6
    | ~ spl5_8 ),
    inference(avatar_split_clause,[],[f93,f56,f48,f51]) ).

thf(f51,plain,
    ( spl5_7
  <=> ! [X9: a] :
        ( ( $true
         != ( cR @ X9 ) )
        | ( ( cS @ X9 )
          = $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

thf(f48,plain,
    ( spl5_6
  <=> ! [X5: a > a,X8: a] :
        ( ( ( cS @ ( sK4 @ ( X5 @ X8 ) @ X5 ) )
          = $true )
        | ( $true
         != ( cR @ X8 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

thf(f56,plain,
    ( spl5_8
  <=> ! [X5: a > a,X8: a] :
        ( ( $true
         != ( cR @ X8 ) )
        | ( ( X5 @ X8 )
          = ( X5 @ ( sK4 @ ( X5 @ X8 ) @ X5 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

thf(f93,plain,
    ( ! [X0: a] :
        ( ( ( cR @ X0 )
         != $true )
        | ( ( cS @ X0 )
          = $true ) )
    | ~ spl5_6
    | ~ spl5_8 ),
    inference(beta_eta_normalization,[],[f92]) ).

thf(f92,plain,
    ( ! [X0: a] :
        ( ( ( cR @ X0 )
         != $true )
        | ( ( cS
            @ ( ^ [Y0: a] : Y0
              @ X0 ) )
          = $true ) )
    | ~ spl5_6
    | ~ spl5_8 ),
    inference(duplicate_literal_removal,[],[f87]) ).

thf(f87,plain,
    ( ! [X0: a] :
        ( ( ( cR @ X0 )
         != $true )
        | ( ( cR @ X0 )
         != $true )
        | ( ( cS
            @ ( ^ [Y0: a] : Y0
              @ X0 ) )
          = $true ) )
    | ~ spl5_6
    | ~ spl5_8 ),
    inference(superposition,[],[f49,f57]) ).

thf(f57,plain,
    ( ! [X8: a,X5: a > a] :
        ( ( ( X5 @ X8 )
          = ( X5 @ ( sK4 @ ( X5 @ X8 ) @ X5 ) ) )
        | ( $true
         != ( cR @ X8 ) ) )
    | ~ spl5_8 ),
    inference(avatar_component_clause,[],[f56]) ).

thf(f49,plain,
    ( ! [X8: a,X5: a > a] :
        ( ( ( cS @ ( sK4 @ ( X5 @ X8 ) @ X5 ) )
          = $true )
        | ( $true
         != ( cR @ X8 ) ) )
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f68,plain,
    ( ~ spl5_1
    | spl5_3
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f64,f51,f34,f25]) ).

thf(f25,plain,
    ( spl5_1
  <=> ( ( cR @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

thf(f34,plain,
    ( spl5_3
  <=> ( ( cS @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

thf(f64,plain,
    ( ( ( cR @ sK3 )
     != $true )
    | spl5_3
    | ~ spl5_7 ),
    inference(trivial_inequality_removal,[],[f62]) ).

thf(f62,plain,
    ( ( ( cR @ sK3 )
     != $true )
    | ( $true != $true )
    | spl5_3
    | ~ spl5_7 ),
    inference(superposition,[],[f36,f52]) ).

thf(f52,plain,
    ( ! [X9: a] :
        ( ( ( cS @ X9 )
          = $true )
        | ( $true
         != ( cR @ X9 ) ) )
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f36,plain,
    ( ( ( cS @ sK3 )
     != $true )
    | spl5_3 ),
    inference(avatar_component_clause,[],[f34]) ).

thf(f67,plain,
    ( ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(avatar_contradiction_clause,[],[f66]) ).

thf(f66,plain,
    ( $false
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(subsumption_resolution,[],[f65,f40]) ).

thf(f40,plain,
    ( ( ( cR @ sK2 )
      = $true )
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f38]) ).

thf(f38,plain,
    ( spl5_4
  <=> ( ( cR @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

thf(f65,plain,
    ( ( ( cR @ sK2 )
     != $true )
    | ~ spl5_2
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(trivial_inequality_removal,[],[f63]) ).

thf(f63,plain,
    ( ( $true != $true )
    | ( ( cR @ sK2 )
     != $true )
    | ~ spl5_2
    | ~ spl5_5
    | ~ spl5_7 ),
    inference(superposition,[],[f61,f52]) ).

thf(f61,plain,
    ( ( ( cS @ sK2 )
     != $true )
    | ~ spl5_2
    | ~ spl5_5 ),
    inference(trivial_inequality_removal,[],[f60]) ).

thf(f60,plain,
    ( ( sK1 != sK1 )
    | ( ( cS @ sK2 )
     != $true )
    | ~ spl5_2
    | ~ spl5_5 ),
    inference(superposition,[],[f44,f31]) ).

thf(f31,plain,
    ( ( ( sK0 @ sK2 )
      = sK1 )
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f29]) ).

thf(f29,plain,
    ( spl5_2
  <=> ( ( sK0 @ sK2 )
      = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

thf(f44,plain,
    ( ! [X2: a] :
        ( ( sK1
         != ( sK0 @ X2 ) )
        | ( ( cS @ X2 )
         != $true ) )
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f43,plain,
    ( spl5_5
  <=> ! [X2: a] :
        ( ( ( cS @ X2 )
         != $true )
        | ( sK1
         != ( sK0 @ X2 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

thf(f59,plain,
    ( spl5_2
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f17,f34,f29]) ).

thf(f17,plain,
    ( ( ( cS @ sK3 )
     != $true )
    | ( ( sK0 @ sK2 )
      = sK1 ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f13,plain,
    ( ( ( ! [X2: a] :
            ( ( sK1
             != ( sK0 @ X2 ) )
            | ( ( cS @ X2 )
             != $true ) )
        & ( ( cR @ sK2 )
          = $true )
        & ( ( sK0 @ sK2 )
          = sK1 ) )
      | ( ( ( cS @ sK3 )
         != $true )
        & ( ( cR @ sK3 )
          = $true ) ) )
    & ( ! [X5: a > a,X6: a] :
          ( ( ( ( X5 @ ( sK4 @ X6 @ X5 ) )
              = X6 )
            & ( ( cS @ ( sK4 @ X6 @ X5 ) )
              = $true ) )
          | ! [X8: a] :
              ( ( $true
               != ( cR @ X8 ) )
              | ( ( X5 @ X8 )
               != X6 ) ) )
      | ! [X9: a] :
          ( ( ( cS @ X9 )
            = $true )
          | ( $true
           != ( cR @ X9 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f8,f12,f11,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: a > a,X1: a] :
        ( ! [X2: a] :
            ( ( ( X0 @ X2 )
             != X1 )
            | ( ( cS @ X2 )
             != $true ) )
        & ? [X3: a] :
            ( ( $true
              = ( cR @ X3 ) )
            & ( ( X0 @ X3 )
              = X1 ) ) )
   => ( ! [X2: a] :
          ( ( sK1
           != ( sK0 @ X2 ) )
          | ( ( cS @ X2 )
           != $true ) )
      & ? [X3: a] :
          ( ( $true
            = ( cR @ X3 ) )
          & ( sK1
            = ( sK0 @ X3 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X3: a] :
        ( ( $true
          = ( cR @ X3 ) )
        & ( sK1
          = ( sK0 @ X3 ) ) )
   => ( ( ( cR @ sK2 )
        = $true )
      & ( ( sK0 @ sK2 )
        = sK1 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X4: a] :
        ( ( ( cS @ X4 )
         != $true )
        & ( ( cR @ X4 )
          = $true ) )
   => ( ( ( cS @ sK3 )
       != $true )
      & ( ( cR @ sK3 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ! [X5: a > a,X6: a] :
      ( ? [X7: a] :
          ( ( ( X5 @ X7 )
            = X6 )
          & ( $true
            = ( cS @ X7 ) ) )
     => ( ( ( X5 @ ( sK4 @ X6 @ X5 ) )
          = X6 )
        & ( ( cS @ ( sK4 @ X6 @ X5 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ( ( ? [X0: a > a,X1: a] :
          ( ! [X2: a] :
              ( ( ( X0 @ X2 )
               != X1 )
              | ( ( cS @ X2 )
               != $true ) )
          & ? [X3: a] :
              ( ( $true
                = ( cR @ X3 ) )
              & ( ( X0 @ X3 )
                = X1 ) ) )
      | ? [X4: a] :
          ( ( ( cS @ X4 )
           != $true )
          & ( ( cR @ X4 )
            = $true ) ) )
    & ( ! [X5: a > a,X6: a] :
          ( ? [X7: a] :
              ( ( ( X5 @ X7 )
                = X6 )
              & ( $true
                = ( cS @ X7 ) ) )
          | ! [X8: a] :
              ( ( $true
               != ( cR @ X8 ) )
              | ( ( X5 @ X8 )
               != X6 ) ) )
      | ! [X9: a] :
          ( ( ( cS @ X9 )
            = $true )
          | ( $true
           != ( cR @ X9 ) ) ) ) ),
    inference(rectify,[],[f7]) ).

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

thf(f6,plain,
    ( ! [X4: a] :
        ( ( ( cS @ X4 )
          = $true )
        | ( ( cR @ X4 )
         != $true ) )
  <~> ! [X0: a > a,X1: a] :
        ( ? [X3: a] :
            ( ( ( X0 @ X3 )
              = X1 )
            & ( $true
              = ( cS @ X3 ) ) )
        | ! [X2: a] :
            ( ( ( cR @ X2 )
             != $true )
            | ( ( X0 @ X2 )
             != X1 ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

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

thf(f4,plain,
    ~ ( ! [X0: a > a,X1: a] :
          ( ? [X2: a] :
              ( ( cR @ X2 )
              & ( ( X0 @ X2 )
                = X1 ) )
         => ? [X3: a] :
              ( ( ( X0 @ X3 )
                = X1 )
              & ( cS @ X3 ) ) )
    <=> ! [X4: a] :
          ( ( cR @ X4 )
         => ( cS @ X4 ) ) ),
    inference(rectify,[],[f2]) ).

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

thf(f1,conjecture,
    ( ! [X1: a > a,X0: a] :
        ( ? [X2: a] :
            ( ( cR @ X2 )
            & ( ( X1 @ X2 )
              = X0 ) )
       => ? [X2: a] :
            ( ( ( X1 @ X2 )
              = X0 )
            & ( cS @ X2 ) ) )
  <=> ! [X0: a] :
        ( ( cR @ X0 )
       => ( cS @ X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM30_pme) ).

thf(f58,plain,
    ( spl5_8
    | spl5_7 ),
    inference(avatar_split_clause,[],[f22,f51,f56]) ).

thf(f22,plain,
    ! [X8: a,X9: a,X5: a > a] :
      ( ( ( cS @ X9 )
        = $true )
      | ( $true
       != ( cR @ X8 ) )
      | ( ( X5 @ X8 )
        = ( X5 @ ( sK4 @ ( X5 @ X8 ) @ X5 ) ) )
      | ( $true
       != ( cR @ X9 ) ) ),
    inference(equality_resolution,[],[f15]) ).

thf(f15,plain,
    ! [X8: a,X6: a,X9: a,X5: a > a] :
      ( ( ( X5 @ ( sK4 @ X6 @ X5 ) )
        = X6 )
      | ( $true
       != ( cR @ X8 ) )
      | ( ( X5 @ X8 )
       != X6 )
      | ( ( cS @ X9 )
        = $true )
      | ( $true
       != ( cR @ X9 ) ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f54,plain,
    ( spl5_1
    | spl5_4 ),
    inference(avatar_split_clause,[],[f18,f38,f25]) ).

thf(f18,plain,
    ( ( ( cR @ sK2 )
      = $true )
    | ( ( cR @ sK3 )
      = $true ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f53,plain,
    ( spl5_6
    | spl5_7 ),
    inference(avatar_split_clause,[],[f23,f51,f48]) ).

thf(f23,plain,
    ! [X8: a,X9: a,X5: a > a] :
      ( ( ( cS @ ( sK4 @ ( X5 @ X8 ) @ X5 ) )
        = $true )
      | ( $true
       != ( cR @ X8 ) )
      | ( $true
       != ( cR @ X9 ) )
      | ( ( cS @ X9 )
        = $true ) ),
    inference(equality_resolution,[],[f14]) ).

thf(f14,plain,
    ! [X8: a,X6: a,X9: a,X5: a > a] :
      ( ( ( cS @ ( sK4 @ X6 @ X5 ) )
        = $true )
      | ( $true
       != ( cR @ X8 ) )
      | ( ( X5 @ X8 )
       != X6 )
      | ( ( cS @ X9 )
        = $true )
      | ( $true
       != ( cR @ X9 ) ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f46,plain,
    ( spl5_1
    | spl5_5 ),
    inference(avatar_split_clause,[],[f20,f43,f25]) ).

thf(f20,plain,
    ! [X2: a] :
      ( ( ( cS @ X2 )
       != $true )
      | ( ( cR @ sK3 )
        = $true )
      | ( sK1
       != ( sK0 @ X2 ) ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f45,plain,
    ( spl5_5
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f21,f34,f43]) ).

thf(f21,plain,
    ! [X2: a] :
      ( ( ( cS @ sK3 )
       != $true )
      | ( ( cS @ X2 )
       != $true )
      | ( sK1
       != ( sK0 @ X2 ) ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f41,plain,
    ( ~ spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f19,f38,f34]) ).

thf(f19,plain,
    ( ( ( cR @ sK2 )
      = $true )
    | ( ( cS @ sK3 )
     != $true ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f32,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f16,f29,f25]) ).

thf(f16,plain,
    ( ( ( sK0 @ sK2 )
      = sK1 )
    | ( ( cR @ sK3 )
      = $true ) ),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU897^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % 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
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 15:51:07 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  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/sandbox/benchmark/theBenchmark.p
% 0.20/0.36  % (15551)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)
% 0.20/0.36  % (15550)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.20/0.36  % (15556)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.20/0.36  % (15553)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.36  % (15555)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)
% 0.20/0.36  % (15552)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)
% 0.20/0.36  % (15554)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)
% 0.20/0.36  % (15557)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)
% 0.20/0.37  % (15553)Instruction limit reached!
% 0.20/0.37  % (15553)------------------------------
% 0.20/0.37  % (15553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (15553)Termination reason: Unknown
% 0.20/0.37  % (15553)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (15553)Memory used [KB]: 5500
% 0.20/0.37  % (15553)Time elapsed: 0.003 s
% 0.20/0.37  % (15553)Instructions burned: 2 (million)
% 0.20/0.37  % (15553)------------------------------
% 0.20/0.37  % (15553)------------------------------
% 0.20/0.37  % (15551)Instruction limit reached!
% 0.20/0.37  % (15551)------------------------------
% 0.20/0.37  % (15551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (15551)Termination reason: Unknown
% 0.20/0.37  % (15551)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (15551)Memory used [KB]: 5500
% 0.20/0.37  % (15551)Time elapsed: 0.004 s
% 0.20/0.37  % (15551)Instructions burned: 4 (million)
% 0.20/0.37  % (15551)------------------------------
% 0.20/0.37  % (15551)------------------------------
% 0.20/0.37  % (15554)Instruction limit reached!
% 0.20/0.37  % (15554)------------------------------
% 0.20/0.37  % (15554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (15554)Termination reason: Unknown
% 0.20/0.37  % (15554)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (15554)Memory used [KB]: 5500
% 0.20/0.37  % (15554)Time elapsed: 0.003 s
% 0.20/0.37  % (15554)Instructions burned: 2 (million)
% 0.20/0.37  % (15554)------------------------------
% 0.20/0.37  % (15554)------------------------------
% 0.20/0.37  % (15557)Instruction limit reached!
% 0.20/0.37  % (15557)------------------------------
% 0.20/0.37  % (15557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (15557)Termination reason: Unknown
% 0.20/0.37  % (15557)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (15557)Memory used [KB]: 5500
% 0.20/0.37  % (15557)Time elapsed: 0.003 s
% 0.20/0.37  % (15557)Instructions burned: 3 (million)
% 0.20/0.37  % (15557)------------------------------
% 0.20/0.37  % (15557)------------------------------
% 0.20/0.37  % (15550)First to succeed.
% 0.20/0.37  % (15555)Refutation not found, incomplete strategy
% 0.20/0.37  % (15555)------------------------------
% 0.20/0.37  % (15555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (15555)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.37  
% 0.20/0.37  
% 0.20/0.37  % (15555)Memory used [KB]: 5500
% 0.20/0.37  % (15555)Time elapsed: 0.006 s
% 0.20/0.37  % (15555)Instructions burned: 5 (million)
% 0.20/0.37  % (15555)------------------------------
% 0.20/0.37  % (15555)------------------------------
% 0.20/0.37  % (15552)Refutation not found, incomplete strategy
% 0.20/0.37  % (15552)------------------------------
% 0.20/0.37  % (15552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (15552)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.37  
% 0.20/0.37  
% 0.20/0.37  % (15552)Memory used [KB]: 5500
% 0.20/0.37  % (15552)Time elapsed: 0.008 s
% 0.20/0.37  % (15552)Instructions burned: 9 (million)
% 0.20/0.37  % (15552)------------------------------
% 0.20/0.37  % (15552)------------------------------
% 0.20/0.37  % (15550)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Theorem for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (15550)------------------------------
% 0.20/0.37  % (15550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (15550)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (15550)Memory used [KB]: 5628
% 0.20/0.37  % (15550)Time elapsed: 0.007 s
% 0.20/0.37  % (15550)Instructions burned: 7 (million)
% 0.20/0.37  % (15550)------------------------------
% 0.20/0.37  % (15550)------------------------------
% 0.20/0.37  % (15549)Success in time 0.007 s
% 0.20/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------