TSTP Solution File: SEU458^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU458^1 : TPTP v8.2.0. Released v3.6.0.
% 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 03:48:59 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   88 (  25 unt;  31 typ;   0 def)
%            Number of atoms       :  461 (  77 equ;   0 cnn)
%            Maximal formula atoms :    5 (   8 avg)
%            Number of connectives :  425 (  28   ~;  98   |;   0   &; 291   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  175 ( 175   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   41 (  37 usr;   9 con; 0-3 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   52 (  49   ^   2   !;   0   ?;  52   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(func_def_2,type,
    inv: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_3,type,
    idem: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).

thf(func_def_4,type,
    infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).

thf(func_def_5,type,
    mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).

thf(func_def_6,type,
    refl: ( $i > $i > $o ) > $o ).

thf(func_def_7,type,
    irrefl: ( $i > $i > $o ) > $o ).

thf(func_def_8,type,
    rc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_9,type,
    symm: ( $i > $i > $o ) > $o ).

thf(func_def_10,type,
    antisymm: ( $i > $i > $o ) > $o ).

thf(func_def_11,type,
    asymm: ( $i > $i > $o ) > $o ).

thf(func_def_12,type,
    sc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_13,type,
    trans: ( $i > $i > $o ) > $o ).

thf(func_def_14,type,
    tc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_15,type,
    trc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_16,type,
    trsc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_17,type,
    po: ( $i > $i > $o ) > $o ).

thf(func_def_18,type,
    so: ( $i > $i > $o ) > $o ).

thf(func_def_19,type,
    total: ( $i > $i > $o ) > $o ).

thf(func_def_20,type,
    term: ( $i > $i > $o ) > $o ).

thf(func_def_21,type,
    ind: ( $i > $i > $o ) > $o ).

thf(func_def_22,type,
    innf: ( $i > $i > $o ) > $i > $o ).

thf(func_def_23,type,
    nfof: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_24,type,
    norm: ( $i > $i > $o ) > $o ).

thf(func_def_25,type,
    join: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_26,type,
    lconfl: ( $i > $i > $o ) > $o ).

thf(func_def_27,type,
    sconfl: ( $i > $i > $o ) > $o ).

thf(func_def_28,type,
    confl: ( $i > $i > $o ) > $o ).

thf(func_def_29,type,
    cr: ( $i > $i > $o ) > $o ).

thf(func_def_46,type,
    sK1: $i > $i > $o ).

thf(func_def_47,type,
    ph2: 
      !>[X0: $tType] : X0 ).

thf(f166,plain,
    $false,
    inference(avatar_sat_refutation,[],[f139,f150,f155,f161,f165]) ).

thf(f165,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f164]) ).

thf(f164,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f163]) ).

thf(f163,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f134,f147]) ).

thf(f147,plain,
    ( ( $false
      = ( sK1 @ sK4 @ sK3 ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f145]) ).

thf(f145,plain,
    ( spl0_4
  <=> ( $false
      = ( sK1 @ sK4 @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f134,plain,
    ( ( $true
      = ( sK1 @ sK4 @ sK3 ) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f132]) ).

thf(f132,plain,
    ( spl0_1
  <=> ( $true
      = ( sK1 @ sK4 @ sK3 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f161,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f160]) ).

thf(f160,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f156]) ).

thf(f156,plain,
    ( ( $true = $false )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f143,f138]) ).

thf(f138,plain,
    ( ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f136]) ).

thf(f136,plain,
    ( spl0_2
  <=> ( $true
      = ( sK1 @ sK3 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f143,plain,
    ( ( ( sK1 @ sK3 @ sK4 )
      = $false )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f141]) ).

thf(f141,plain,
    ( spl0_3
  <=> ( ( sK1 @ sK3 @ sK4 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f155,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f113,f141]) ).

thf(f113,plain,
    ( ( sK1 @ sK3 @ sK4 )
    = $false ),
    inference(duplicate_literal_removal,[],[f112]) ).

thf(f112,plain,
    ( ( ( sK1 @ sK3 @ sK4 )
      = $false )
    | ( ( sK1 @ sK3 @ sK4 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f110]) ).

thf(f110,plain,
    ( ( $false
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 ) ) )
    | ( ( sK1 @ sK3 @ sK4 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f108]) ).

thf(f108,plain,
    ( ( $false
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) )
    | ( ( sK1 @ sK3 @ sK4 )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f106]) ).

thf(f106,plain,
    ( ( $false
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 ) ) )
    | ( $false
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) ) ),
    inference(binary_proxy_clausification,[],[f104]) ).

thf(f104,plain,
    ( ( ( sK1 @ sK3 @ sK4 )
      | ( sK1 @ sK4 @ sK3 )
      | ( sK1 @ sK4 @ sK3 )
      | ( sK1 @ sK3 @ sK4 ) )
   != ( ( sK1 @ sK3 @ sK4 )
      | ( sK1 @ sK4 @ sK3 ) ) ),
    inference(beta_eta_normalization,[],[f103]) ).

thf(f103,plain,
    ( ( ^ [Y0: $i] :
          ( ( sK1 @ sK3 @ Y0 )
          | ( sK1 @ Y0 @ sK3 )
          | ( sK1 @ Y0 @ sK3 )
          | ( sK1 @ sK3 @ Y0 ) )
      @ sK4 )
   != ( ^ [Y0: $i] :
          ( ( sK1 @ sK3 @ Y0 )
          | ( sK1 @ Y0 @ sK3 ) )
      @ sK4 ) ),
    inference(negative_extensionality,[],[f102]) ).

thf(f102,plain,
    ( ( ^ [Y0: $i] :
          ( ( sK1 @ sK3 @ Y0 )
          | ( sK1 @ Y0 @ sK3 )
          | ( sK1 @ Y0 @ sK3 )
          | ( sK1 @ sK3 @ Y0 ) ) )
   != ( ^ [Y0: $i] :
          ( ( sK1 @ sK3 @ Y0 )
          | ( sK1 @ Y0 @ sK3 ) ) ) ),
    inference(beta_eta_normalization,[],[f101]) ).

thf(f101,plain,
    ( ( ^ [Y0: $i,Y1: $i] :
          ( ( sK1 @ Y0 @ Y1 )
          | ( sK1 @ Y1 @ Y0 ) )
      @ sK3 )
   != ( ^ [Y0: $i,Y1: $i] :
          ( ( sK1 @ Y0 @ Y1 )
          | ( sK1 @ Y1 @ Y0 )
          | ( sK1 @ Y1 @ Y0 )
          | ( sK1 @ Y0 @ Y1 ) )
      @ sK3 ) ),
    inference(negative_extensionality,[],[f100]) ).

thf(f100,plain,
    ( ( ^ [Y0: $i,Y1: $i] :
          ( ( sK1 @ Y0 @ Y1 )
          | ( sK1 @ Y1 @ Y0 ) ) )
   != ( ^ [Y0: $i,Y1: $i] :
          ( ( sK1 @ Y0 @ Y1 )
          | ( sK1 @ Y1 @ Y0 )
          | ( sK1 @ Y1 @ Y0 )
          | ( sK1 @ Y0 @ Y1 ) ) ) ),
    inference(equality_proxy_clausification,[],[f99]) ).

thf(f99,plain,
    ( ( ( ^ [Y0: $i,Y1: $i] :
            ( ( sK1 @ Y0 @ Y1 )
            | ( sK1 @ Y1 @ Y0 )
            | ( sK1 @ Y1 @ Y0 )
            | ( sK1 @ Y0 @ Y1 ) ) )
      = ( ^ [Y0: $i,Y1: $i] :
            ( ( sK1 @ Y0 @ Y1 )
            | ( sK1 @ Y1 @ Y0 ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f98]) ).

thf(f98,plain,
    ( $false
    = ( ^ [Y0: $i > $i > $o] :
          ( ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y0 @ Y2 @ Y1 )
                | ( Y0 @ Y2 @ Y1 )
                | ( Y0 @ Y1 @ Y2 ) ) )
          = ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y0 @ Y2 @ Y1 ) ) ) )
      @ sK1 ) ),
    inference(sigma_clausification,[],[f97]) ).

thf(f97,plain,
    ( ( !! @ ( $i > $i > $o )
      @ ^ [Y0: $i > $i > $o] :
          ( ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y0 @ Y2 @ Y1 )
                | ( Y0 @ Y2 @ Y1 )
                | ( Y0 @ Y1 @ Y2 ) ) )
          = ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y0 @ Y2 @ Y1 ) ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[],[f96]) ).

thf(f96,plain,
    ( $true
   != ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
          ( !! @ ( $i > $i > $o )
          @ ^ [Y1: $i > $i > $o] :
              ( ( Y0 @ ( Y0 @ Y1 ) )
              = ( Y0 @ Y1 ) ) )
      @ ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f92,f93,f95]) ).

thf(f95,plain,
    ( sc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f40]) ).

thf(f40,plain,
    ( sc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f39]) ).

thf(f39,plain,
    ( ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
          ( ( X0 @ X2 @ X1 )
          | ( X0 @ X1 @ X2 ) ) )
    = sc ),
    inference(rectify,[],[f12]) ).

thf(f12,axiom,
    ( ( ^ [X0: $i > $i > $o,X2: $i,X3: $i] :
          ( ( X0 @ X3 @ X2 )
          | ( X0 @ X2 @ X3 ) ) )
    = sc ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_closure) ).

thf(f93,plain,
    ( idem
    = ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
          ( !! @ ( $i > $i > $o )
          @ ^ [Y1: $i > $i > $o] :
              ( ( Y0 @ ( Y0 @ Y1 ) )
              = ( Y0 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f58]) ).

thf(f58,plain,
    ( idem
    = ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
          ( !! @ ( $i > $i > $o )
          @ ^ [Y1: $i > $i > $o] :
              ( ( Y0 @ ( Y0 @ Y1 ) )
              = ( Y0 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f57]) ).

thf(f57,plain,
    ( ( ^ [X0: ( $i > $i > $o ) > $i > $i > $o] :
        ! [X1: $i > $i > $o] :
          ( ( X0 @ ( X0 @ X1 ) )
          = ( X0 @ X1 ) ) )
    = idem ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( ( ^ [X4: ( $i > $i > $o ) > $i > $i > $o] :
        ! [X0: $i > $i > $o] :
          ( ( X4 @ X0 )
          = ( X4 @ ( X4 @ X0 ) ) ) )
    = idem ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotent) ).

thf(f92,plain,
    ( ( idem @ sc )
   != $true ),
    inference(cnf_transformation,[],[f91]) ).

thf(f91,plain,
    ( ( idem @ sc )
   != $true ),
    inference(flattening,[],[f72]) ).

thf(f72,plain,
    ( ( idem @ sc )
   != $true ),
    inference(fool_elimination,[],[f71]) ).

thf(f71,plain,
    ~ ( idem @ sc ),
    inference(rectify,[],[f31]) ).

thf(f31,negated_conjecture,
    ~ ( idem @ sc ),
    inference(negated_conjecture,[],[f30]) ).

thf(f30,conjecture,
    idem @ sc,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_closure_op_is_idempotent) ).

thf(f150,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f121,f145]) ).

thf(f121,plain,
    ( $false
    = ( sK1 @ sK4 @ sK3 ) ),
    inference(duplicate_literal_removal,[],[f119]) ).

thf(f119,plain,
    ( ( $false
      = ( sK1 @ sK4 @ sK3 ) )
    | ( $false
      = ( sK1 @ sK4 @ sK3 ) ) ),
    inference(binary_proxy_clausification,[],[f118]) ).

thf(f118,plain,
    ( ( $false
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 ) ) )
    | ( $false
      = ( sK1 @ sK4 @ sK3 ) ) ),
    inference(binary_proxy_clausification,[],[f107]) ).

thf(f107,plain,
    ( ( $false
      = ( sK1 @ sK4 @ sK3 ) )
    | ( $false
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) ) ),
    inference(binary_proxy_clausification,[],[f106]) ).

thf(f139,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f130,f136,f132]) ).

thf(f130,plain,
    ( ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ( $true
      = ( sK1 @ sK4 @ sK3 ) ) ),
    inference(duplicate_literal_removal,[],[f129]) ).

thf(f129,plain,
    ( ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ( $true
      = ( sK1 @ sK4 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ( $true
      = ( sK1 @ sK4 @ sK3 ) ) ),
    inference(binary_proxy_clausification,[],[f128]) ).

thf(f128,plain,
    ( ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ( $true
      = ( sK1 @ sK4 @ sK3 ) )
    | ( $true
      = ( ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) ) ),
    inference(duplicate_literal_removal,[],[f127]) ).

thf(f127,plain,
    ( ( $true
      = ( sK1 @ sK4 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ( $true
      = ( sK1 @ sK4 @ sK3 ) )
    | ( $true
      = ( ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) ) ),
    inference(binary_proxy_clausification,[],[f126]) ).

thf(f126,plain,
    ( ( $true
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 ) ) )
    | ( $true
      = ( ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) )
    | ( $true
      = ( sK1 @ sK4 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK3 @ sK4 ) ) ),
    inference(binary_proxy_clausification,[],[f125]) ).

thf(f125,plain,
    ( ( $true
      = ( sK1 @ sK3 @ sK4 ) )
    | ( $true
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) )
    | ( $true
      = ( sK1 @ sK4 @ sK3 ) ) ),
    inference(binary_proxy_clausification,[],[f105]) ).

thf(f105,plain,
    ( ( $true
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 ) ) )
    | ( $true
      = ( ( sK1 @ sK3 @ sK4 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK4 @ sK3 )
        | ( sK1 @ sK3 @ sK4 ) ) ) ),
    inference(binary_proxy_clausification,[],[f104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU458^1 : TPTP v8.2.0. Released v3.6.0.
% 0.12/0.14  % 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
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 17:02:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a TH0_THM_EQU_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/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % (28276)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.36  % (28276)Instruction limit reached!
% 0.14/0.36  % (28276)------------------------------
% 0.14/0.36  % (28276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (28276)Termination reason: Unknown
% 0.14/0.36  % (28276)Termination phase: shuffling
% 0.14/0.36  
% 0.14/0.36  % (28276)Memory used [KB]: 1023
% 0.14/0.36  % (28276)Time elapsed: 0.003 s
% 0.14/0.36  % (28276)Instructions burned: 3 (million)
% 0.14/0.36  % (28276)------------------------------
% 0.14/0.36  % (28276)------------------------------
% 0.14/0.37  % (28277)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 (2999ds/2Mi)
% 0.14/0.37  % (28273)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37  % (28275)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 (2999ds/27Mi)
% 0.14/0.37  % (28274)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 (2999ds/4Mi)
% 0.14/0.37  % (28278)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 (2999ds/275Mi)
% 0.14/0.37  % (28277)Instruction limit reached!
% 0.14/0.37  % (28277)------------------------------
% 0.14/0.37  % (28277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (28279)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37  % (28280)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.37  % (28277)Termination reason: Unknown
% 0.14/0.37  % (28277)Termination phase: shuffling
% 0.14/0.37  
% 0.14/0.37  % (28277)Memory used [KB]: 1023
% 0.14/0.37  % (28277)Time elapsed: 0.003 s
% 0.14/0.37  % (28277)Instructions burned: 3 (million)
% 0.14/0.37  % (28277)------------------------------
% 0.14/0.37  % (28277)------------------------------
% 0.14/0.37  % (28280)Instruction limit reached!
% 0.14/0.37  % (28280)------------------------------
% 0.14/0.37  % (28280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (28280)Termination reason: Unknown
% 0.14/0.37  % (28280)Termination phase: shuffling
% 0.14/0.37  
% 0.14/0.37  % (28280)Memory used [KB]: 1023
% 0.14/0.37  % (28280)Time elapsed: 0.003 s
% 0.14/0.37  % (28280)Instructions burned: 3 (million)
% 0.14/0.37  % (28280)------------------------------
% 0.14/0.37  % (28280)------------------------------
% 0.14/0.37  % (28274)Instruction limit reached!
% 0.14/0.37  % (28274)------------------------------
% 0.14/0.37  % (28274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (28274)Termination reason: Unknown
% 0.14/0.37  % (28274)Termination phase: Property scanning
% 0.14/0.37  
% 0.14/0.37  % (28274)Memory used [KB]: 1023
% 0.14/0.37  % (28274)Time elapsed: 0.004 s
% 0.14/0.37  % (28274)Instructions burned: 5 (million)
% 0.14/0.37  % (28274)------------------------------
% 0.14/0.37  % (28274)------------------------------
% 0.14/0.37  % (28278)First to succeed.
% 0.14/0.38  % (28273)Also succeeded, but the first one will report.
% 0.14/0.38  % (28281)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 theBenchmark for (2999ds/37Mi)
% 0.14/0.38  % (28275)Also succeeded, but the first one will report.
% 0.14/0.38  % (28278)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
% 0.14/0.38  % (28278)------------------------------
% 0.14/0.38  % (28278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (28278)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (28278)Memory used [KB]: 5628
% 0.14/0.38  % (28278)Time elapsed: 0.009 s
% 0.14/0.38  % (28278)Instructions burned: 9 (million)
% 0.14/0.38  % (28278)------------------------------
% 0.14/0.38  % (28278)------------------------------
% 0.14/0.38  % (28272)Success in time 0.016 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------