TSTP Solution File: NLP267^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP267^1 : TPTP v8.1.2. Released v8.1.0.
% 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 : n011.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 08:05:12 EDT 2024

% Result   : Theorem 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   95 (  46 unt;  16 typ;   0 def)
%            Number of atoms       :  418 (  77 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  404 (  23   ~;  30   |;  10   &; 299   @)
%                                         (   3 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   74 (  74   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  20 usr;  11 con; 0-3 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   80 (  67   ^  13   !;   0   ?;  80   :)

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

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

thf(func_def_1,type,
    mrel: mworld > mworld > $o ).

thf(func_def_2,type,
    mactual: mworld ).

thf(func_def_3,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_5,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_11,type,
    mdia: ( mworld > $o ) > mworld > $o ).

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

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

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

thf(func_def_34,type,
    sK1: mworld ).

thf(f166,plain,
    $false,
    inference(avatar_sat_refutation,[],[f138,f148,f159,f165]) ).

thf(f165,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f164]) ).

thf(f164,plain,
    ( $false
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f161]) ).

thf(f161,plain,
    ( ( $true = $false )
    | ~ spl0_3 ),
    inference(superposition,[],[f79,f132]) ).

thf(f132,plain,
    ( ( $true
      = ( price @ seventy @ sK1 ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f130]) ).

thf(f130,plain,
    ( spl0_3
  <=> ( $true
      = ( price @ seventy @ sK1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f79,plain,
    ( ( price @ seventy @ sK1 )
    = $false ),
    inference(binary_proxy_clausification,[],[f78]) ).

thf(f78,plain,
    ( ( ( mrel @ mactual @ sK1 )
     => ( price @ seventy @ sK1 ) )
    = $false ),
    inference(beta_eta_normalization,[],[f77]) ).

thf(f77,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) )
      @ sK1 )
    = $false ),
    inference(sigma_clausification,[],[f76]) ).

thf(f76,plain,
    ( $true
   != ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f69]) ).

thf(f69,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( price @ seventy ) ) )
   != $true ),
    inference(definition_unfolding,[],[f61,f62,f49]) ).

thf(f49,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f21,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f20]) ).

thf(f20,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
        ! [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
         => ( X0 @ X2 ) ) )
    = mbox ),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    ( ( ^ [X0: mworld > $o,X2: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ X2 @ X4 )
         => ( X0 @ X4 ) ) )
    = mbox ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',mbox_def) ).

thf(f62,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f38]) ).

thf(f38,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    ( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
    = mlocal ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',mlocal_def) ).

thf(f61,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(cnf_transformation,[],[f47]) ).

thf(f47,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(flattening,[],[f40]) ).

thf(f40,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(fool_elimination,[],[f39]) ).

thf(f39,plain,
    ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ),
    inference(rectify,[],[f16]) ).

thf(f16,negated_conjecture,
    ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ),
    inference(negated_conjecture,[],[f15]) ).

thf(f15,conjecture,
    mlocal @ ( mbox @ ( price @ seventy ) ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',con) ).

thf(f159,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f158]) ).

thf(f158,plain,
    ( $false
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f154]) ).

thf(f154,plain,
    ( ( $true = $false )
    | ~ spl0_4 ),
    inference(superposition,[],[f153,f80]) ).

thf(f80,plain,
    ( $true
    = ( mrel @ mactual @ sK1 ) ),
    inference(binary_proxy_clausification,[],[f78]) ).

thf(f153,plain,
    ( ( ( mrel @ mactual @ sK1 )
      = $false )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f150]) ).

thf(f150,plain,
    ( ( $true = $false )
    | ( ( mrel @ mactual @ sK1 )
      = $false )
    | ~ spl0_4 ),
    inference(superposition,[],[f136,f94]) ).

thf(f94,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( dest @ paris @ X1 ) )
      | ( ( mrel @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f93]) ).

thf(f93,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ mactual @ X1 )
       => ( dest @ paris @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f92]) ).

thf(f92,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( dest @ paris @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f91]) ).

thf(f91,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( dest @ paris @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f67]) ).

thf(f67,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( dest @ paris ) ) ) ),
    inference(definition_unfolding,[],[f54,f62,f49]) ).

thf(f54,plain,
    ( ( mlocal @ ( mbox @ ( dest @ paris ) ) )
    = $true ),
    inference(cnf_transformation,[],[f35]) ).

thf(f35,plain,
    ( ( mlocal @ ( mbox @ ( dest @ paris ) ) )
    = $true ),
    inference(fool_elimination,[],[f34]) ).

thf(f34,plain,
    mlocal @ ( mbox @ ( dest @ paris ) ),
    inference(rectify,[],[f13]) ).

thf(f13,axiom,
    mlocal @ ( mbox @ ( dest @ paris ) ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',belief1) ).

thf(f136,plain,
    ( ( ( dest @ paris @ sK1 )
      = $false )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f134]) ).

thf(f134,plain,
    ( spl0_4
  <=> ( ( dest @ paris @ sK1 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f148,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f147]) ).

thf(f147,plain,
    ( $false
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f143]) ).

thf(f143,plain,
    ( ( $true = $false )
    | ~ spl0_1 ),
    inference(superposition,[],[f142,f80]) ).

thf(f142,plain,
    ( ( ( mrel @ mactual @ sK1 )
      = $false )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f139]) ).

thf(f139,plain,
    ( ( ( mrel @ mactual @ sK1 )
      = $false )
    | ( $true = $false )
    | ~ spl0_1 ),
    inference(superposition,[],[f114,f90]) ).

thf(f90,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( class @ second @ X1 ) )
      | ( ( mrel @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f89]) ).

thf(f89,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
       => ( class @ second @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f88]) ).

thf(f88,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( class @ second @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f87]) ).

thf(f87,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( class @ second @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f66]) ).

thf(f66,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( class @ second ) ) ) ),
    inference(definition_unfolding,[],[f53,f62,f49]) ).

thf(f53,plain,
    ( ( mlocal @ ( mbox @ ( class @ second ) ) )
    = $true ),
    inference(cnf_transformation,[],[f33]) ).

thf(f33,plain,
    ( ( mlocal @ ( mbox @ ( class @ second ) ) )
    = $true ),
    inference(fool_elimination,[],[f32]) ).

thf(f32,plain,
    mlocal @ ( mbox @ ( class @ second ) ),
    inference(rectify,[],[f14]) ).

thf(f14,axiom,
    mlocal @ ( mbox @ ( class @ second ) ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',belief2) ).

thf(f114,plain,
    ( ( ( class @ second @ sK1 )
      = $false )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f112]) ).

thf(f112,plain,
    ( spl0_1
  <=> ( ( class @ second @ sK1 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f138,plain,
    ( spl0_3
    | spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f127,f134,f112,f130]) ).

thf(f127,plain,
    ( ( ( dest @ paris @ sK1 )
      = $false )
    | ( ( class @ second @ sK1 )
      = $false )
    | ( $true
      = ( price @ seventy @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f126]) ).

thf(f126,plain,
    ( ( $true
      = ( price @ seventy @ sK1 ) )
    | ( ( dest @ paris @ sK1 )
      = $false )
    | ( ( class @ second @ sK1 )
      = $false )
    | ( $true = $false ) ),
    inference(superposition,[],[f80,f100]) ).

thf(f100,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
        = $false )
      | ( ( class @ second @ X1 )
        = $false )
      | ( ( dest @ paris @ X1 )
        = $false )
      | ( ( price @ seventy @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f99]) ).

thf(f99,plain,
    ! [X1: mworld] :
      ( ( ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) )
        = $false )
      | ( ( mrel @ mactual @ X1 )
        = $false )
      | ( ( price @ seventy @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f98]) ).

thf(f98,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) )
      | ( ( mrel @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f97]) ).

thf(f97,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ mactual @ X1 )
       => ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f96]) ).

thf(f96,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ( dest @ paris @ Y0 )
                & ( class @ second @ Y0 ) )
             => ( price @ seventy @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f95]) ).

thf(f95,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( ( dest @ paris @ Y0 )
              & ( class @ second @ Y0 ) )
           => ( price @ seventy @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f64]) ).

thf(f64,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
             => ( Y1 @ Y2 ) )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y0 @ Y2 )
                & ( Y1 @ Y2 ) )
            @ ( dest @ paris )
            @ ( class @ second ) )
          @ ( price @ seventy ) ) ) ) ),
    inference(definition_unfolding,[],[f51,f62,f49,f56,f58]) ).

thf(f58,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f25,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f24]) ).

thf(f24,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( mand
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X3 @ X2 )
          & ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',mand_def) ).

thf(f56,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f42]) ).

thf(f42,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f41]) ).

thf(f41,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ( mimplies
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
         => ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',mimplies_def) ).

thf(f51,plain,
    ( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f37]) ).

thf(f37,plain,
    ( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f36]) ).

thf(f36,plain,
    mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    inference(rectify,[],[f10]) ).

thf(f10,axiom,
    mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973',law2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NLP267^1 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.15  % 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
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 12:51:04 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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/sandbox/tmp/tmp.QS9RFIKwCV/Vampire---4.8_29973
% 0.22/0.38  % (30082)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.22/0.38  % (30085)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.38  % (30086)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 (2999ds/2Mi)
% 0.22/0.38  % (30084)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 (2999ds/27Mi)
% 0.22/0.38  % (30083)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 (2999ds/4Mi)
% 0.22/0.38  % (30088)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.38  % (30087)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 (2999ds/275Mi)
% 0.22/0.38  % (30085)Instruction limit reached!
% 0.22/0.38  % (30085)------------------------------
% 0.22/0.38  % (30085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (30085)Termination reason: Unknown
% 0.22/0.38  % (30085)Termination phase: shuffling
% 0.22/0.38  
% 0.22/0.38  % (30086)Instruction limit reached!
% 0.22/0.38  % (30086)------------------------------
% 0.22/0.38  % (30086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (30086)Termination reason: Unknown
% 0.22/0.38  % (30086)Termination phase: Property scanning
% 0.22/0.38  
% 0.22/0.38  % (30086)Memory used [KB]: 895
% 0.22/0.38  % (30086)Time elapsed: 0.003 s
% 0.22/0.38  % (30086)Instructions burned: 2 (million)
% 0.22/0.38  % (30086)------------------------------
% 0.22/0.38  % (30086)------------------------------
% 0.22/0.38  % (30085)Memory used [KB]: 895
% 0.22/0.38  % (30085)Time elapsed: 0.003 s
% 0.22/0.38  % (30085)Instructions burned: 2 (million)
% 0.22/0.38  % (30085)------------------------------
% 0.22/0.38  % (30085)------------------------------
% 0.22/0.38  % (30089)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 (2999ds/3Mi)
% 0.22/0.38  % (30083)Instruction limit reached!
% 0.22/0.38  % (30083)------------------------------
% 0.22/0.38  % (30083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (30083)Termination reason: Unknown
% 0.22/0.38  % (30083)Termination phase: Saturation
% 0.22/0.38  
% 0.22/0.38  % (30083)Memory used [KB]: 5500
% 0.22/0.38  % (30083)Time elapsed: 0.004 s
% 0.22/0.38  % (30083)Instructions burned: 4 (million)
% 0.22/0.38  % (30083)------------------------------
% 0.22/0.38  % (30083)------------------------------
% 0.22/0.38  % (30087)Refutation not found, incomplete strategy
% 0.22/0.38  % (30087)------------------------------
% 0.22/0.38  % (30087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (30087)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38  
% 0.22/0.38  
% 0.22/0.38  % (30087)Memory used [KB]: 5500
% 0.22/0.38  % (30087)Time elapsed: 0.004 s
% 0.22/0.38  % (30087)Instructions burned: 3 (million)
% 0.22/0.38  % (30087)------------------------------
% 0.22/0.38  % (30087)------------------------------
% 0.22/0.38  % (30089)Instruction limit reached!
% 0.22/0.38  % (30089)------------------------------
% 0.22/0.38  % (30089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (30089)Termination reason: Unknown
% 0.22/0.38  % (30089)Termination phase: Function definition elimination
% 0.22/0.38  
% 0.22/0.38  % (30089)Memory used [KB]: 1023
% 0.22/0.38  % (30089)Time elapsed: 0.004 s
% 0.22/0.38  % (30089)Instructions burned: 3 (million)
% 0.22/0.38  % (30089)------------------------------
% 0.22/0.38  % (30089)------------------------------
% 0.22/0.39  % (30082)First to succeed.
% 0.22/0.39  % (30084)Also succeeded, but the first one will report.
% 0.22/0.39  % (30082)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for Vampire---4
% 0.22/0.39  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.39  % (30082)------------------------------
% 0.22/0.39  % (30082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39  % (30082)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (30082)Memory used [KB]: 5628
% 0.22/0.39  % (30082)Time elapsed: 0.011 s
% 0.22/0.39  % (30082)Instructions burned: 10 (million)
% 0.22/0.39  % (30082)------------------------------
% 0.22/0.39  % (30082)------------------------------
% 0.22/0.39  % (30081)Success in time 0.012 s
% 0.22/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------