TSTP Solution File: NLP267^18 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP267^18 : 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 : n020.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 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   84 (  44 unt;  20 typ;   0 def)
%            Number of atoms       :  385 (  74 equ;   0 cnn)
%            Maximal formula atoms :   10 (   6 avg)
%            Number of connectives :  420 (   7   ~;  20   |;  15   &; 345   @)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   77 (  77   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  19 usr;  10 con; 0-3 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  101 (  71   ^  30   !;   0   ?; 101   :)

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

thf(type_def_6,type,
    mworld: $tType ).

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

thf(func_def_1,type,
    mindex: $tType ).

thf(func_def_2,type,
    mrel: mindex > mworld > mworld > $o ).

thf(func_def_3,type,
    '#b_u': mindex ).

thf(func_def_4,type,
    '#b_s': mindex ).

thf(func_def_5,type,
    mactual: mworld ).

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

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

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

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

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

thf(func_def_12,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_13,type,
    mbox: mindex > ( mworld > $o ) > mworld > $o ).

thf(func_def_14,type,
    mdia: mindex > ( mworld > $o ) > mworld > $o ).

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

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

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

thf(func_def_38,type,
    sK1: mworld ).

thf(f158,plain,
    $false,
    inference(trivial_inequality_removal,[],[f156]) ).

thf(f156,plain,
    $true = $false,
    inference(superposition,[],[f151,f98]) ).

thf(f98,plain,
    ( $false
    = ( price @ seventy @ sK1 ) ),
    inference(binary_proxy_clausification,[],[f97]) ).

thf(f97,plain,
    ( $false
    = ( ( mrel @ '#b_s' @ mactual @ sK1 )
     => ( price @ seventy @ sK1 ) ) ),
    inference(beta_eta_normalization,[],[f96]) ).

thf(f96,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) )
      @ sK1 ) ),
    inference(sigma_clausification,[],[f95]) ).

thf(f95,plain,
    ( $true
   != ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f79]) ).

thf(f79,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_s'
        @ ( price @ seventy ) ) )
   != $true ),
    inference(definition_unfolding,[],[f68,f57,f66]) ).

thf(f66,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f47]) ).

thf(f47,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f46]) ).

thf(f46,plain,
    ( ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) )
    = mbox ),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    ( ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ X4 @ X2 @ X5 )
         => ( X0 @ X5 ) ) )
    = mbox ),
    file('/export/starexec/sandbox/tmp/tmp.Bujw4kP5WJ/Vampire---4.8_32677',mbox_def) ).

thf(f57,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f35]) ).

thf(f35,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.Bujw4kP5WJ/Vampire---4.8_32677',mlocal_def) ).

thf(f68,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(cnf_transformation,[],[f56]) ).

thf(f56,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(flattening,[],[f55]) ).

thf(f55,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(fool_elimination,[],[f54]) ).

thf(f54,plain,
    ~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
    inference(rectify,[],[f19]) ).

thf(f19,negated_conjecture,
    ~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
    inference(negated_conjecture,[],[f18]) ).

thf(f18,conjecture,
    mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ),
    file('/export/starexec/sandbox/tmp/tmp.Bujw4kP5WJ/Vampire---4.8_32677',con) ).

thf(f151,plain,
    ! [X0: mworld] :
      ( $true
      = ( price @ seventy @ X0 ) ),
    inference(trivial_inequality_removal,[],[f149]) ).

thf(f149,plain,
    ! [X0: mworld] :
      ( ( $true = $false )
      | ( $true
        = ( price @ seventy @ X0 ) ) ),
    inference(superposition,[],[f73,f145]) ).

thf(f145,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( price @ seventy @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f142]) ).

thf(f142,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( price @ seventy @ X1 ) )
      | ( $true = $false ) ),
    inference(backward_demodulation,[],[f137,f141]) ).

thf(f141,plain,
    ! [X0: mworld] :
      ( $true
      = ( class @ second @ X0 ) ),
    inference(trivial_inequality_removal,[],[f138]) ).

thf(f138,plain,
    ! [X0: mworld] :
      ( ( $true
        = ( class @ second @ X0 ) )
      | ( $true = $false ) ),
    inference(superposition,[],[f94,f73]) ).

thf(f94,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( class @ second @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f92]) ).

thf(f92,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( ( class @ second @ X1 )
          & ( dest @ paris @ X1 ) ) ) ),
    inference(binary_proxy_clausification,[],[f91]) ).

thf(f91,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_s' @ mactual @ X1 )
       => ( ( class @ second @ X1 )
          & ( dest @ paris @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f90]) ).

thf(f90,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_s' @ mactual @ Y0 )
           => ( ( class @ second @ Y0 )
              & ( dest @ paris @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f89]) ).

thf(f89,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( class @ second @ Y0 )
            & ( dest @ paris @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f78]) ).

thf(f78,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_s'
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y1 @ Y2 )
              & ( Y0 @ Y2 ) )
          @ ( dest @ paris )
          @ ( class @ second ) ) ) ) ),
    inference(definition_unfolding,[],[f67,f57,f66,f70]) ).

thf(f70,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f32]) ).

thf(f32,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f31]) ).

thf(f31,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
          & ( X1 @ X2 ) ) )
    = mand ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X3 @ X2 ) ) )
    = mand ),
    file('/export/starexec/sandbox/tmp/tmp.Bujw4kP5WJ/Vampire---4.8_32677',mand_def) ).

thf(f67,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f28]) ).

thf(f28,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f27]) ).

thf(f27,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    inference(rectify,[],[f17]) ).

thf(f17,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Bujw4kP5WJ/Vampire---4.8_32677',axiom_5) ).

thf(f137,plain,
    ! [X1: mworld] :
      ( ( ( class @ second @ X1 )
        = $false )
      | ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( price @ seventy @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f134]) ).

thf(f134,plain,
    ! [X1: mworld] :
      ( ( ( class @ second @ X1 )
        = $false )
      | ( $true
        = ( price @ seventy @ X1 ) )
      | ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true = $false ) ),
    inference(backward_demodulation,[],[f111,f133]) ).

thf(f133,plain,
    ! [X0: mworld] :
      ( $true
      = ( dest @ paris @ X0 ) ),
    inference(trivial_inequality_removal,[],[f131]) ).

thf(f131,plain,
    ! [X0: mworld] :
      ( ( $true = $false )
      | ( $true
        = ( dest @ paris @ X0 ) ) ),
    inference(superposition,[],[f73,f93]) ).

thf(f93,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( dest @ paris @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f92]) ).

thf(f111,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( price @ seventy @ X1 ) )
      | ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( ( class @ second @ X1 )
        = $false )
      | ( ( dest @ paris @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f110]) ).

thf(f110,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( ( ( class @ second @ X1 )
          & ( dest @ paris @ X1 ) )
        = $false )
      | ( $true
        = ( price @ seventy @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f109]) ).

thf(f109,plain,
    ! [X1: mworld] :
      ( ( ( ( ( class @ second @ X1 )
            & ( dest @ paris @ X1 ) )
         => ( price @ seventy @ X1 ) )
        = $true )
      | ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f108]) ).

thf(f108,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
       => ( ( ( class @ second @ X1 )
            & ( dest @ paris @ X1 ) )
         => ( price @ seventy @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f107]) ).

thf(f107,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_s' @ mactual @ Y0 )
           => ( ( ( class @ second @ Y0 )
                & ( dest @ paris @ Y0 ) )
             => ( price @ seventy @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f106]) ).

thf(f106,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( ( class @ second @ Y0 )
              & ( dest @ paris @ Y0 ) )
           => ( price @ seventy @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f75]) ).

thf(f75,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_s'
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
             => ( Y1 @ Y2 ) )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y1 @ Y2 )
                & ( Y0 @ Y2 ) )
            @ ( dest @ paris )
            @ ( class @ second ) )
          @ ( price @ seventy ) ) ) ) ),
    inference(definition_unfolding,[],[f59,f57,f66,f62,f70]) ).

thf(f62,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f49]) ).

thf(f49,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f48]) ).

thf(f48,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) )
    = mimplies ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
         => ( X3 @ X2 ) ) )
    = mimplies ),
    file('/export/starexec/sandbox/tmp/tmp.Bujw4kP5WJ/Vampire---4.8_32677',mimplies_def) ).

thf(f59,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f45]) ).

thf(f45,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f44]) ).

thf(f44,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    inference(rectify,[],[f12]) ).

thf(f12,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Bujw4kP5WJ/Vampire---4.8_32677',axiom_2) ).

thf(f73,plain,
    ! [X0: mworld,X1: mworld] :
      ( $true
      = ( mrel @ '#b_s' @ X1 @ X0 ) ),
    inference(cnf_transformation,[],[f51]) ).

thf(f51,plain,
    ! [X0: mworld,X1: mworld] :
      ( $true
      = ( mrel @ '#b_s' @ X1 @ X0 ) ),
    inference(fool_elimination,[],[f50]) ).

thf(f50,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ '#b_s' @ X1 @ X0 ),
    inference(rectify,[],[f10]) ).

thf(f10,axiom,
    ! [X5: mworld,X2: mworld] : ( mrel @ '#b_s' @ X2 @ X5 ),
    file('/export/starexec/sandbox/tmp/tmp.Bujw4kP5WJ/Vampire---4.8_32677','mrel_#b_s_universal') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NLP267^18 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.12  % 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
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 12:32:16 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a TH0_THM_EQU_NAR problem
% 0.11/0.32  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.Bujw4kP5WJ/Vampire---4.8_32677
% 0.11/0.34  % (318)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)
% 0.11/0.34  % (319)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)
% 0.11/0.34  % (320)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.34  % (322)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)
% 0.11/0.34  % (317)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)
% 0.11/0.34  % (321)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)
% 0.11/0.34  % (324)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)
% 0.11/0.34  % (323)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.11/0.34  % (320)Instruction limit reached!
% 0.11/0.34  % (320)------------------------------
% 0.11/0.34  % (320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34  % (320)Termination reason: Unknown
% 0.11/0.34  % (320)Termination phase: Property scanning
% 0.11/0.34  
% 0.11/0.34  % (321)Instruction limit reached!
% 0.11/0.34  % (321)------------------------------
% 0.11/0.34  % (321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34  % (320)Memory used [KB]: 1023
% 0.11/0.34  % (320)Time elapsed: 0.003 s
% 0.11/0.34  % (320)Instructions burned: 3 (million)
% 0.11/0.34  % (320)------------------------------
% 0.11/0.34  % (320)------------------------------
% 0.11/0.34  % (321)Termination reason: Unknown
% 0.11/0.34  % (321)Termination phase: Preprocessing 3
% 0.11/0.34  
% 0.11/0.34  % (321)Memory used [KB]: 1023
% 0.11/0.34  % (321)Time elapsed: 0.003 s
% 0.11/0.34  % (321)Instructions burned: 3 (million)
% 0.11/0.34  % (321)------------------------------
% 0.11/0.34  % (321)------------------------------
% 0.11/0.34  % (324)Instruction limit reached!
% 0.11/0.34  % (324)------------------------------
% 0.11/0.34  % (324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34  % (324)Termination reason: Unknown
% 0.11/0.34  % (324)Termination phase: Property scanning
% 0.11/0.34  
% 0.11/0.34  % (324)Memory used [KB]: 1023
% 0.11/0.34  % (324)Time elapsed: 0.003 s
% 0.11/0.34  % (324)Instructions burned: 3 (million)
% 0.11/0.34  % (324)------------------------------
% 0.11/0.34  % (324)------------------------------
% 0.11/0.34  % (318)Instruction limit reached!
% 0.11/0.34  % (318)------------------------------
% 0.11/0.34  % (318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34  % (318)Termination reason: Unknown
% 0.11/0.34  % (318)Termination phase: Property scanning
% 0.11/0.34  
% 0.11/0.34  % (322)Refutation not found, incomplete strategy
% 0.11/0.34  % (322)------------------------------
% 0.11/0.34  % (322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34  % (322)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34  
% 0.11/0.34  
% 0.11/0.34  % (322)Memory used [KB]: 5500
% 0.11/0.34  % (322)Time elapsed: 0.003 s
% 0.11/0.34  % (322)Instructions burned: 3 (million)
% 0.11/0.34  % (322)------------------------------
% 0.11/0.34  % (322)------------------------------
% 0.11/0.34  % (318)Memory used [KB]: 1023
% 0.11/0.34  % (318)Time elapsed: 0.004 s
% 0.11/0.34  % (318)Instructions burned: 5 (million)
% 0.11/0.34  % (318)------------------------------
% 0.11/0.34  % (318)------------------------------
% 0.11/0.34  % (323)First to succeed.
% 0.11/0.35  % (317)Also succeeded, but the first one will report.
% 0.11/0.35  % (323)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for Vampire---4
% 0.11/0.35  % SZS output start Proof for Vampire---4
% See solution above
% 0.11/0.35  % (323)------------------------------
% 0.11/0.35  % (323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35  % (323)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (323)Memory used [KB]: 5628
% 0.11/0.35  % (323)Time elapsed: 0.010 s
% 0.11/0.35  % (323)Instructions burned: 12 (million)
% 0.11/0.35  % (323)------------------------------
% 0.11/0.35  % (323)------------------------------
% 0.11/0.35  % (316)Success in time 0.012 s
% 0.11/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------