TSTP Solution File: SET600^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET600^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 03:12:19 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   64 (   1 unt;   8 typ;   0 def)
%            Number of atoms       :  337 (  93 equ;   0 cnn)
%            Maximal formula atoms :   12 (   6 avg)
%            Number of connectives :  296 (  73   ~; 115   |;  15   &;  84   @)
%                                         (   7 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :  116 (  89   ^  18   !;   8   ?; 116   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_7,type,
    sK0: a > $o ).

thf(func_def_8,type,
    sK1: a > $o ).

thf(func_def_10,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(func_def_11,type,
    sK4: a ).

thf(func_def_12,type,
    sK5: a ).

thf(func_def_13,type,
    sK6: a ).

thf(f70,plain,
    $false,
    inference(avatar_sat_refutation,[],[f22,f27,f28,f37,f41,f69]) ).

thf(f69,plain,
    ( ~ spl2_1
    | spl2_2
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f68]) ).

thf(f68,plain,
    ( $false
    | ~ spl2_1
    | spl2_2
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f65]) ).

thf(f65,plain,
    ( ( $false = $true )
    | ~ spl2_1
    | spl2_2
    | ~ spl2_3 ),
    inference(superposition,[],[f59,f63]) ).

thf(f63,plain,
    ( ! [X0: a] :
        ( ( sK1 @ X0 )
        = $false )
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f61]) ).

thf(f61,plain,
    ( ! [X0: a] :
        ( ( $false = $true )
        | ( ( sK1 @ X0 )
          = $false ) )
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(superposition,[],[f48,f45]) ).

thf(f45,plain,
    ( ! [X1: a] :
        ( ( $true
          = ( sK0 @ X1 ) )
        | ( $false
          = ( sK1 @ X1 ) ) )
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(binary_proxy_clausification,[],[f44]) ).

thf(f44,plain,
    ( ! [X1: a] :
        ( ( sK0 @ X1 )
        = ( sK1 @ X1 ) )
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(argument_congruence,[],[f43]) ).

thf(f43,plain,
    ( ( sK0 = sK1 )
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f17,f25]) ).

thf(f25,plain,
    ( ( sK0
      = ( ^ [Y0: a] : $false ) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f24]) ).

thf(f24,plain,
    ( spl2_3
  <=> ( sK0
      = ( ^ [Y0: a] : $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

thf(f17,plain,
    ( ( ( ^ [Y0: a] : $false )
      = sK1 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f15]) ).

thf(f15,plain,
    ( spl2_1
  <=> ( ( ^ [Y0: a] : $false )
      = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f48,plain,
    ( ! [X1: a] :
        ( $false
        = ( sK0 @ X1 ) )
    | ~ spl2_3 ),
    inference(beta_eta_normalization,[],[f47]) ).

thf(f47,plain,
    ( ! [X1: a] :
        ( ( sK0 @ X1 )
        = ( ^ [Y0: a] : $false
          @ X1 ) )
    | ~ spl2_3 ),
    inference(argument_congruence,[],[f25]) ).

thf(f59,plain,
    ( ( $true
      = ( sK1 @ sK6 ) )
    | spl2_2
    | ~ spl2_3 ),
    inference(trivial_inequality_removal,[],[f58]) ).

thf(f58,plain,
    ( ( $false = $true )
    | ( $true
      = ( sK1 @ sK6 ) )
    | spl2_2
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f57,f48]) ).

thf(f57,plain,
    ( ( $true
      = ( sK1 @ sK6 ) )
    | ( ( sK0 @ sK6 )
      = $true )
    | spl2_2
    | ~ spl2_3 ),
    inference(duplicate_literal_removal,[],[f56]) ).

thf(f56,plain,
    ( ( ( sK0 @ sK6 )
      = $true )
    | ( $true
      = ( sK1 @ sK6 ) )
    | ( ( sK0 @ sK6 )
      = $true )
    | spl2_2
    | ~ spl2_3 ),
    inference(binary_proxy_clausification,[],[f51]) ).

thf(f51,plain,
    ( ( ( sK0 @ sK6 )
      = $true )
    | ( $true
      = ( ( sK1 @ sK6 )
        | ( sK0 @ sK6 ) ) )
    | spl2_2
    | ~ spl2_3 ),
    inference(binary_proxy_clausification,[],[f50]) ).

thf(f50,plain,
    ( ( ( sK0 @ sK6 )
     != ( ( sK1 @ sK6 )
        | ( sK0 @ sK6 ) ) )
    | spl2_2
    | ~ spl2_3 ),
    inference(beta_eta_normalization,[],[f49]) ).

thf(f49,plain,
    ( ( ( sK0 @ sK6 )
     != ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) )
        @ sK6 ) )
    | spl2_2
    | ~ spl2_3 ),
    inference(negative_extensionality,[],[f42]) ).

thf(f42,plain,
    ( ( sK0
     != ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) ) ) )
    | spl2_2
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f20,f25]) ).

thf(f20,plain,
    ( ( ( ^ [Y0: a] : $false )
     != ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) ) ) )
    | spl2_2 ),
    inference(avatar_component_clause,[],[f19]) ).

thf(f19,plain,
    ( spl2_2
  <=> ( ( ^ [Y0: a] : $false )
      = ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f41,plain,
    ( spl2_1
    | ~ spl2_2 ),
    inference(avatar_contradiction_clause,[],[f40]) ).

thf(f40,plain,
    ( $false
    | spl2_1
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f39,f34]) ).

thf(f34,plain,
    ( ! [X1: a] :
        ( $false
        = ( sK1 @ X1 ) )
    | ~ spl2_2 ),
    inference(binary_proxy_clausification,[],[f32]) ).

thf(f32,plain,
    ( ! [X1: a] :
        ( $false
        = ( ( sK1 @ X1 )
          | ( sK0 @ X1 ) ) )
    | ~ spl2_2 ),
    inference(beta_eta_normalization,[],[f31]) ).

thf(f31,plain,
    ( ! [X1: a] :
        ( ( ^ [Y0: a] : $false
          @ X1 )
        = ( ^ [Y0: a] :
              ( ( sK1 @ Y0 )
              | ( sK0 @ Y0 ) )
          @ X1 ) )
    | ~ spl2_2 ),
    inference(argument_congruence,[],[f21]) ).

thf(f21,plain,
    ( ( ( ^ [Y0: a] : $false )
      = ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) ) ) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f19]) ).

thf(f39,plain,
    ( ( $false
     != ( sK1 @ sK5 ) )
    | spl2_1 ),
    inference(beta_eta_normalization,[],[f38]) ).

thf(f38,plain,
    ( ( ( sK1 @ sK5 )
     != ( ^ [Y0: a] : $false
        @ sK5 ) )
    | spl2_1 ),
    inference(negative_extensionality,[],[f16]) ).

thf(f16,plain,
    ( ( ( ^ [Y0: a] : $false )
     != sK1 )
    | spl2_1 ),
    inference(avatar_component_clause,[],[f15]) ).

thf(f37,plain,
    ( ~ spl2_2
    | spl2_3 ),
    inference(avatar_contradiction_clause,[],[f36]) ).

thf(f36,plain,
    ( $false
    | ~ spl2_2
    | spl2_3 ),
    inference(trivial_inequality_removal,[],[f35]) ).

thf(f35,plain,
    ( ( $false != $false )
    | ~ spl2_2
    | spl2_3 ),
    inference(superposition,[],[f30,f33]) ).

thf(f33,plain,
    ( ! [X1: a] :
        ( $false
        = ( sK0 @ X1 ) )
    | ~ spl2_2 ),
    inference(binary_proxy_clausification,[],[f32]) ).

thf(f30,plain,
    ( ( $false
     != ( sK0 @ sK4 ) )
    | spl2_3 ),
    inference(beta_eta_normalization,[],[f29]) ).

thf(f29,plain,
    ( ( ( ^ [Y0: a] : $false
        @ sK4 )
     != ( sK0 @ sK4 ) )
    | spl2_3 ),
    inference(negative_extensionality,[],[f26]) ).

thf(f26,plain,
    ( ( sK0
     != ( ^ [Y0: a] : $false ) )
    | spl2_3 ),
    inference(avatar_component_clause,[],[f24]) ).

thf(f28,plain,
    ( spl2_3
    | spl2_2 ),
    inference(avatar_split_clause,[],[f12,f19,f24]) ).

thf(f12,plain,
    ( ( sK0
      = ( ^ [Y0: a] : $false ) )
    | ( ( ^ [Y0: a] : $false )
      = ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ( ( ( ^ [Y0: a] : $false )
       != ( ^ [Y0: a] :
              ( ( sK1 @ Y0 )
              | ( sK0 @ Y0 ) ) ) )
      | ( sK0
       != ( ^ [Y0: a] : $false ) )
      | ( ( ^ [Y0: a] : $false )
       != sK1 ) )
    & ( ( ( ^ [Y0: a] : $false )
        = ( ^ [Y0: a] :
              ( ( sK1 @ Y0 )
              | ( sK0 @ Y0 ) ) ) )
      | ( ( sK0
          = ( ^ [Y0: a] : $false ) )
        & ( ( ^ [Y0: a] : $false )
          = sK1 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f9]) ).

thf(f9,plain,
    ( ? [X0: a > $o,X1: a > $o] :
        ( ( ( ( ^ [Y0: a] : $false )
           != ( ^ [Y0: a] :
                  ( ( X1 @ Y0 )
                  | ( X0 @ Y0 ) ) ) )
          | ( ( ^ [Y0: a] : $false )
           != X0 )
          | ( ( ^ [Y0: a] : $false )
           != X1 ) )
        & ( ( ( ^ [Y0: a] : $false )
            = ( ^ [Y0: a] :
                  ( ( X1 @ Y0 )
                  | ( X0 @ Y0 ) ) ) )
          | ( ( ( ^ [Y0: a] : $false )
              = X0 )
            & ( ( ^ [Y0: a] : $false )
              = X1 ) ) ) )
   => ( ( ( ( ^ [Y0: a] : $false )
         != ( ^ [Y0: a] :
                ( ( sK1 @ Y0 )
                | ( sK0 @ Y0 ) ) ) )
        | ( sK0
         != ( ^ [Y0: a] : $false ) )
        | ( ( ^ [Y0: a] : $false )
         != sK1 ) )
      & ( ( ( ^ [Y0: a] : $false )
          = ( ^ [Y0: a] :
                ( ( sK1 @ Y0 )
                | ( sK0 @ Y0 ) ) ) )
        | ( ( sK0
            = ( ^ [Y0: a] : $false ) )
          & ( ( ^ [Y0: a] : $false )
            = sK1 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: a > $o,X1: a > $o] :
      ( ( ( ( ^ [Y0: a] : $false )
         != ( ^ [Y0: a] :
                ( ( X1 @ Y0 )
                | ( X0 @ Y0 ) ) ) )
        | ( ( ^ [Y0: a] : $false )
         != X0 )
        | ( ( ^ [Y0: a] : $false )
         != X1 ) )
      & ( ( ( ^ [Y0: a] : $false )
          = ( ^ [Y0: a] :
                ( ( X1 @ Y0 )
                | ( X0 @ Y0 ) ) ) )
        | ( ( ( ^ [Y0: a] : $false )
            = X0 )
          & ( ( ^ [Y0: a] : $false )
            = X1 ) ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ? [X0: a > $o,X1: a > $o] :
      ( ( ( ( ^ [Y0: a] : $false )
         != ( ^ [Y0: a] :
                ( ( X1 @ Y0 )
                | ( X0 @ Y0 ) ) ) )
        | ( ( ^ [Y0: a] : $false )
         != X0 )
        | ( ( ^ [Y0: a] : $false )
         != X1 ) )
      & ( ( ( ^ [Y0: a] : $false )
          = ( ^ [Y0: a] :
                ( ( X1 @ Y0 )
                | ( X0 @ Y0 ) ) ) )
        | ( ( ( ^ [Y0: a] : $false )
            = X0 )
          & ( ( ^ [Y0: a] : $false )
            = X1 ) ) ) ),
    inference(nnf_transformation,[],[f6]) ).

thf(f6,plain,
    ? [X0: a > $o,X1: a > $o] :
      ( ( ( ( ^ [Y0: a] : $false )
          = X0 )
        & ( ( ^ [Y0: a] : $false )
          = X1 ) )
    <~> ( ( ^ [Y0: a] : $false )
        = ( ^ [Y0: a] :
              ( ( X1 @ Y0 )
              | ( X0 @ Y0 ) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > $o,X1: a > $o] :
        ( ( ( ^ [Y0: a] : $false )
          = ( ^ [Y0: a] :
                ( ( X1 @ Y0 )
                | ( X0 @ Y0 ) ) ) )
      <=> ( ( ( ^ [Y0: a] : $false )
            = X0 )
          & ( ( ^ [Y0: a] : $false )
            = X1 ) ) ),
    inference(fool_elimination,[],[f4]) ).

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

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

thf(f1,conjecture,
    ! [X0: a > $o,X1: a > $o] :
      ( ( ( ^ [X3: a] : $false )
        = ( ^ [X2: a] :
              ( ( X0 @ X2 )
              | ( X1 @ X2 ) ) ) )
    <=> ( ( X1
          = ( ^ [X3: a] : $false ) )
        & ( X0
          = ( ^ [X3: a] : $false ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_59_pme) ).

thf(f27,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f13,f15,f24,f19]) ).

thf(f13,plain,
    ( ( ( ^ [Y0: a] : $false )
     != ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) ) ) )
    | ( sK0
     != ( ^ [Y0: a] : $false ) )
    | ( ( ^ [Y0: a] : $false )
     != sK1 ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f22,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f11,f19,f15]) ).

thf(f11,plain,
    ( ( ( ^ [Y0: a] : $false )
      = sK1 )
    | ( ( ^ [Y0: a] : $false )
      = ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            | ( sK0 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET600^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % 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
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon May 20 11:31:23 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a TH0_THM_EQU_NAR problem
% 0.12/0.34  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  % (8655)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.36  % (8649)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.12/0.36  % (8651)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)
% 0.12/0.36  % (8650)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)
% 0.12/0.36  % (8656)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)
% 0.12/0.36  % (8654)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)
% 0.12/0.36  % (8652)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.36  % (8652)Instruction limit reached!
% 0.12/0.36  % (8652)------------------------------
% 0.12/0.36  % (8652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (8652)Termination reason: Unknown
% 0.12/0.36  % (8652)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (8652)Memory used [KB]: 895
% 0.12/0.36  % (8652)Time elapsed: 0.003 s
% 0.12/0.36  % (8652)Instructions burned: 2 (million)
% 0.12/0.36  % (8652)------------------------------
% 0.12/0.36  % (8652)------------------------------
% 0.12/0.36  % (8653)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)
% 0.12/0.36  % (8656)Refutation not found, incomplete strategy
% 0.12/0.36  % (8656)------------------------------
% 0.12/0.36  % (8656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (8656)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % (8656)Memory used [KB]: 5500
% 0.12/0.36  % (8656)Time elapsed: 0.003 s
% 0.12/0.36  % (8656)Instructions burned: 2 (million)
% 0.12/0.36  % (8656)------------------------------
% 0.12/0.36  % (8656)------------------------------
% 0.12/0.36  % (8650)Instruction limit reached!
% 0.12/0.36  % (8650)------------------------------
% 0.12/0.36  % (8650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (8650)Termination reason: Unknown
% 0.12/0.36  % (8650)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (8650)Memory used [KB]: 5500
% 0.12/0.36  % (8650)Time elapsed: 0.005 s
% 0.12/0.36  % (8654)First to succeed.
% 0.12/0.36  % (8650)Instructions burned: 4 (million)
% 0.12/0.36  % (8650)------------------------------
% 0.12/0.36  % (8650)------------------------------
% 0.12/0.36  % (8653)Instruction limit reached!
% 0.12/0.36  % (8653)------------------------------
% 0.12/0.36  % (8653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (8653)Termination reason: Unknown
% 0.12/0.36  % (8653)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (8653)Memory used [KB]: 5500
% 0.12/0.36  % (8653)Time elapsed: 0.003 s
% 0.12/0.36  % (8653)Instructions burned: 2 (million)
% 0.12/0.36  % (8653)------------------------------
% 0.12/0.36  % (8653)------------------------------
% 0.12/0.36  % (8649)Also succeeded, but the first one will report.
% 0.12/0.36  % (8655)Also succeeded, but the first one will report.
% 0.12/0.36  % (8654)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Theorem for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (8654)------------------------------
% 0.12/0.36  % (8654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (8654)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (8654)Memory used [KB]: 5500
% 0.12/0.36  % (8654)Time elapsed: 0.006 s
% 0.12/0.36  % (8654)Instructions burned: 3 (million)
% 0.12/0.36  % (8654)------------------------------
% 0.12/0.36  % (8654)------------------------------
% 0.12/0.36  % (8648)Success in time 0.007 s
% 0.12/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------