TSTP Solution File: SET635^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET635^5 : 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 : n007.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 03:12:35 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   70 (  14 unt;   7 typ;   0 def)
%            Number of atoms       :  393 (  98 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives :  461 (  77   ~;  69   |; 100   &; 208   @)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   39 (  20   ^  12   !;   6   ?;  39   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_8,type,
    sK0: a > $o ).

thf(func_def_9,type,
    sK1: a > $o ).

thf(func_def_10,type,
    sK2: a > $o ).

thf(func_def_12,type,
    ph4: 
      !>[X0: $tType] : X0 ).

thf(func_def_13,type,
    sK5: a ).

thf(f100,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f75,f79,f90,f93,f96,f99]) ).

thf(f99,plain,
    ( ~ spl3_2
    | ~ spl3_5 ),
    inference(avatar_contradiction_clause,[],[f98]) ).

thf(f98,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_5 ),
    inference(trivial_inequality_removal,[],[f97]) ).

thf(f97,plain,
    ( ( $false = $true )
    | ~ spl3_2
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f84,f63]) ).

thf(f63,plain,
    ( ( $false
      = ( sK2 @ sK5 ) )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f61]) ).

thf(f61,plain,
    ( spl3_2
  <=> ( $false
      = ( sK2 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

thf(f84,plain,
    ( ( $true
      = ( sK2 @ sK5 ) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f82]) ).

thf(f82,plain,
    ( spl3_5
  <=> ( $true
      = ( sK2 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

thf(f96,plain,
    ( ~ spl3_4
    | ~ spl3_6 ),
    inference(avatar_contradiction_clause,[],[f95]) ).

thf(f95,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_6 ),
    inference(trivial_inequality_removal,[],[f94]) ).

thf(f94,plain,
    ( ( $false = $true )
    | ~ spl3_4
    | ~ spl3_6 ),
    inference(backward_demodulation,[],[f72,f88]) ).

thf(f88,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f86]) ).

thf(f86,plain,
    ( spl3_6
  <=> ( $false
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

thf(f72,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f70]) ).

thf(f70,plain,
    ( spl3_4
  <=> ( $true
      = ( sK1 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

thf(f93,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(avatar_contradiction_clause,[],[f92]) ).

thf(f92,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(trivial_inequality_removal,[],[f91]) ).

thf(f91,plain,
    ( ( $false = $true )
    | ~ spl3_1
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f59,f67]) ).

thf(f67,plain,
    ( ( ( sK0 @ sK5 )
      = $false )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f65]) ).

thf(f65,plain,
    ( spl3_3
  <=> ( ( sK0 @ sK5 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

thf(f59,plain,
    ( ( ( sK0 @ sK5 )
      = $true )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f57]) ).

thf(f57,plain,
    ( spl3_1
  <=> ( ( sK0 @ sK5 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

thf(f90,plain,
    ( spl3_3
    | spl3_5
    | spl3_6 ),
    inference(avatar_split_clause,[],[f24,f86,f82,f65]) ).

thf(f24,plain,
    ( ( $true
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( sK1 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(duplicate_literal_removal,[],[f23]) ).

thf(f23,plain,
    ( ( ( sK0 @ sK5 )
      = $false )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK2 @ sK5 ) ) ),
    inference(not_proxy_clausification,[],[f22]) ).

thf(f22,plain,
    ( ( $true
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( ~ ( sK2 @ sK5 ) ) )
    | ( ( sK0 @ sK5 )
      = $false )
    | ( $false
      = ( sK1 @ sK5 ) ) ),
    inference(duplicate_literal_removal,[],[f21]) ).

thf(f21,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false )
    | ( $false
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( ~ ( sK2 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f20]) ).

thf(f20,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 ) )
      = $false )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(duplicate_literal_removal,[],[f19]) ).

thf(f19,plain,
    ( ( ( sK0 @ sK5 )
      = $false )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 ) )
      = $false )
    | ( $false
      = ( sK1 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    ( ( $false
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) ) )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ( ( ( ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) )
      = $true )
    | ( $false
      = ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) ) )
    | ( ( sK0 @ sK5 )
      = $false )
    | ( $false
      = ( sK1 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f15,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $false )
    | ( $false
      = ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) ) )
    | ( ( ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) )
      = $true ) ),
    inference(not_proxy_clausification,[],[f14]) ).

thf(f14,plain,
    ( ( $false
      = ( ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) ) )
    | ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $false )
    | ( $false
      = ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f13]) ).

thf(f13,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 )
        & ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) )
      = $false )
    | ( $false
      = ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) ) ) ),
    inference(binary_proxy_clausification,[],[f11]) ).

thf(f11,plain,
    ( ( ( sK0 @ sK5 )
      & ( sK1 @ sK5 )
      & ~ ( ( sK2 @ sK5 )
          & ( sK0 @ sK5 ) ) )
   != ( ( sK1 @ sK5 )
      & ~ ( sK2 @ sK5 )
      & ( sK0 @ sK5 ) ) ),
    inference(beta_eta_normalization,[],[f10]) ).

thf(f10,plain,
    ( ( ^ [Y0: a] :
          ( ( sK0 @ Y0 )
          & ( sK1 @ Y0 )
          & ~ ( ( sK2 @ Y0 )
              & ( sK0 @ Y0 ) ) )
      @ sK5 )
   != ( ^ [Y0: a] :
          ( ( sK1 @ Y0 )
          & ~ ( sK2 @ Y0 )
          & ( sK0 @ Y0 ) )
      @ sK5 ) ),
    inference(negative_extensionality,[],[f9]) ).

thf(f9,plain,
    ( ( ^ [Y0: a] :
          ( ( sK1 @ Y0 )
          & ~ ( sK2 @ Y0 )
          & ( sK0 @ Y0 ) ) )
   != ( ^ [Y0: a] :
          ( ( sK0 @ Y0 )
          & ( sK1 @ Y0 )
          & ~ ( ( sK2 @ Y0 )
              & ( sK0 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ( ^ [Y0: a] :
          ( ( sK1 @ Y0 )
          & ~ ( sK2 @ Y0 )
          & ( sK0 @ Y0 ) ) )
   != ( ^ [Y0: a] :
          ( ( sK0 @ Y0 )
          & ( sK1 @ Y0 )
          & ~ ( ( sK2 @ Y0 )
              & ( sK0 @ Y0 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7]) ).

thf(f7,plain,
    ( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ^ [Y0: a] :
              ( ( X1 @ Y0 )
              & ~ ( X2 @ Y0 )
              & ( X0 @ Y0 ) ) )
       != ( ^ [Y0: a] :
              ( ( X0 @ Y0 )
              & ( X1 @ Y0 )
              & ~ ( ( X2 @ Y0 )
                  & ( X0 @ Y0 ) ) ) ) )
   => ( ( ^ [Y0: a] :
            ( ( sK1 @ Y0 )
            & ~ ( sK2 @ Y0 )
            & ( sK0 @ Y0 ) ) )
     != ( ^ [Y0: a] :
            ( ( sK0 @ Y0 )
            & ( sK1 @ Y0 )
            & ~ ( ( sK2 @ Y0 )
                & ( sK0 @ Y0 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f6,plain,
    ? [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ^ [Y0: a] :
            ( ( X1 @ Y0 )
            & ~ ( X2 @ Y0 )
            & ( X0 @ Y0 ) ) )
     != ( ^ [Y0: a] :
            ( ( X0 @ Y0 )
            & ( X1 @ Y0 )
            & ~ ( ( X2 @ Y0 )
                & ( X0 @ Y0 ) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ^ [Y0: a] :
              ( ( X1 @ Y0 )
              & ~ ( X2 @ Y0 )
              & ( X0 @ Y0 ) ) )
        = ( ^ [Y0: a] :
              ( ( X0 @ Y0 )
              & ( X1 @ Y0 )
              & ~ ( ( X2 @ Y0 )
                  & ( X0 @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

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

thf(f2,negated_conjecture,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ^ [X3: a] :
              ( ~ ( ( X0 @ X3 )
                  & ( X2 @ X3 ) )
              & ( X1 @ X3 )
              & ( X0 @ X3 ) ) )
        = ( ^ [X3: a] :
              ( ( X0 @ X3 )
              & ~ ( X2 @ X3 )
              & ( X1 @ 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 )
            & ( X0 @ X3 ) ) )
      = ( ^ [X3: a] :
            ( ( X0 @ X3 )
            & ~ ( X2 @ X3 )
            & ( X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_117_pme) ).

thf(f79,plain,
    spl3_4,
    inference(avatar_split_clause,[],[f38,f70]) ).

thf(f38,plain,
    ( $true
    = ( sK1 @ sK5 ) ),
    inference(duplicate_literal_removal,[],[f36]) ).

thf(f36,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( $true
      = ( sK1 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f35]) ).

thf(f35,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f33]) ).

thf(f33,plain,
    ( ( $true
      = ( sK1 @ sK5 ) )
    | ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 )
        & ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f31]) ).

thf(f31,plain,
    ( ( ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 ) )
      = $true )
    | ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 )
        & ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f12]) ).

thf(f12,plain,
    ( ( ( ( sK1 @ sK5 )
        & ~ ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) )
      = $true )
    | ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 )
        & ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f11]) ).

thf(f75,plain,
    ( spl3_3
    | spl3_2 ),
    inference(avatar_split_clause,[],[f48,f61,f65]) ).

thf(f48,plain,
    ( ( $false
      = ( sK2 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false ) ),
    inference(duplicate_literal_removal,[],[f47]) ).

thf(f47,plain,
    ( ( $false
      = ( sK2 @ sK5 ) )
    | ( ( sK0 @ sK5 )
      = $false )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f46]) ).

thf(f46,plain,
    ( ( $false
      = ( sK2 @ sK5 ) )
    | ( $false
      = ( ( sK2 @ sK5 )
        & ( sK0 @ sK5 ) ) ) ),
    inference(not_proxy_clausification,[],[f42]) ).

thf(f42,plain,
    ( ( $true
      = ( ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) ) )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(binary_proxy_clausification,[],[f41]) ).

thf(f41,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 )
        & ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) )
      = $true )
    | ( $false
      = ( sK2 @ sK5 ) ) ),
    inference(not_proxy_clausification,[],[f32]) ).

thf(f32,plain,
    ( ( $true
      = ( ~ ( sK2 @ sK5 ) ) )
    | ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 )
        & ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f31]) ).

thf(f74,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f53,f57]) ).

thf(f53,plain,
    ( ( sK0 @ sK5 )
    = $true ),
    inference(duplicate_literal_removal,[],[f52]) ).

thf(f52,plain,
    ( ( ( sK0 @ sK5 )
      = $true )
    | ( ( sK0 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f50]) ).

thf(f50,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 ) )
      = $true )
    | ( ( sK0 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f30]) ).

thf(f30,plain,
    ( ( ( ( sK0 @ sK5 )
        & ( sK1 @ sK5 )
        & ~ ( ( sK2 @ sK5 )
            & ( sK0 @ sK5 ) ) )
      = $true )
    | ( ( sK0 @ sK5 )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET635^5 : TPTP v8.2.0. 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
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 11:51:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_NAR problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.14/0.38  % (13521)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38  % (13522)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)
% 0.14/0.38  % (13518)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38  % (13515)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.38  % (13518)Instruction limit reached!
% 0.14/0.38  % (13518)------------------------------
% 0.14/0.38  % (13518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (13518)Termination reason: Unknown
% 0.14/0.38  % (13518)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (13518)Memory used [KB]: 5500
% 0.14/0.38  % (13518)Time elapsed: 0.003 s
% 0.14/0.38  % (13518)Instructions burned: 2 (million)
% 0.14/0.38  % (13518)------------------------------
% 0.14/0.38  % (13518)------------------------------
% 0.14/0.38  % (13522)Refutation not found, incomplete strategy
% 0.14/0.38  % (13522)------------------------------
% 0.14/0.38  % (13522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (13522)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (13522)Memory used [KB]: 5500
% 0.14/0.38  % (13522)Time elapsed: 0.003 s
% 0.14/0.38  % (13522)Instructions burned: 2 (million)
% 0.14/0.38  % (13522)------------------------------
% 0.14/0.38  % (13522)------------------------------
% 0.14/0.38  % (13521)First to succeed.
% 0.14/0.38  % (13520)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)
% 0.14/0.38  % (13516)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)
% 0.14/0.38  % (13515)Also succeeded, but the first one will report.
% 0.14/0.38  % (13521)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (13521)------------------------------
% 0.14/0.39  % (13521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (13521)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (13521)Memory used [KB]: 5500
% 0.14/0.39  % (13521)Time elapsed: 0.005 s
% 0.14/0.39  % (13521)Instructions burned: 4 (million)
% 0.14/0.39  % (13521)------------------------------
% 0.14/0.39  % (13521)------------------------------
% 0.14/0.39  % (13514)Success in time 0.016 s
% 0.14/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------