TSTP Solution File: NLP267^3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP267^3 : 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 : n013.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 08:05:13 EDT 2024

% Result   : Theorem 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   86 (  47 unt;  18 typ;   0 def)
%            Number of atoms       :  391 (  77 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  374 (   7   ~;  19   |;  10   &; 299   @)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   77 (  77   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  19 usr;   8 con; 0-3 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   81 (  67   ^  13   !;   0   ?;  81   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% 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_20,type,
    vEPSILON: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_34,type,
    sK0: mworld > mworld ).

thf(func_def_36,type,
    sK2: mworld ).

thf(f170,plain,
    $false,
    inference(trivial_inequality_removal,[],[f169]) ).

thf(f169,plain,
    $true = $false,
    inference(backward_demodulation,[],[f104,f158]) ).

thf(f158,plain,
    ( ( mrel @ mactual @ sK2 )
    = $false ),
    inference(trivial_inequality_removal,[],[f157]) ).

thf(f157,plain,
    ( ( ( mrel @ mactual @ sK2 )
      = $false )
    | ( $true = $false ) ),
    inference(forward_demodulation,[],[f156,f117]) ).

thf(f117,plain,
    ( ( class @ second @ sK2 )
    = $true ),
    inference(trivial_inequality_removal,[],[f113]) ).

thf(f113,plain,
    ( ( ( class @ second @ sK2 )
      = $true )
    | ( $true = $false ) ),
    inference(superposition,[],[f108,f104]) ).

thf(f108,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
        = $false )
      | ( ( class @ second @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f107]) ).

thf(f107,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ mactual @ X1 )
       => ( class @ second @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f106]) ).

thf(f106,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( class @ second @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f105]) ).

thf(f105,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( class @ second @ Y0 ) ) )
    = $true ),
    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 ) ) )
        @ ( class @ second ) ) )
    = $true ),
    inference(definition_unfolding,[],[f54,f62,f63]) ).

thf(f63,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f38]) ).

thf(f38,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f37]) ).

thf(f37,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.1s72abLVcW/Vampire---4.8_20429',mbox_def) ).

thf(f62,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f45]) ).

thf(f45,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    ( mlocal
    = ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.1s72abLVcW/Vampire---4.8_20429',mlocal_def) ).

thf(f54,plain,
    ( ( mlocal @ ( mbox @ ( class @ second ) ) )
    = $true ),
    inference(cnf_transformation,[],[f42]) ).

thf(f42,plain,
    ( ( mlocal @ ( mbox @ ( class @ second ) ) )
    = $true ),
    inference(fool_elimination,[],[f41]) ).

thf(f41,plain,
    mlocal @ ( mbox @ ( class @ second ) ),
    inference(rectify,[],[f15]) ).

thf(f15,axiom,
    mlocal @ ( mbox @ ( class @ second ) ),
    file('/export/starexec/sandbox/tmp/tmp.1s72abLVcW/Vampire---4.8_20429',belief2) ).

thf(f156,plain,
    ( ( ( mrel @ mactual @ sK2 )
      = $false )
    | ( ( class @ second @ sK2 )
      = $false ) ),
    inference(trivial_inequality_removal,[],[f155]) ).

thf(f155,plain,
    ( ( $true = $false )
    | ( ( mrel @ mactual @ sK2 )
      = $false )
    | ( ( class @ second @ sK2 )
      = $false ) ),
    inference(forward_demodulation,[],[f154,f127]) ).

thf(f127,plain,
    ( $true
    = ( dest @ paris @ sK2 ) ),
    inference(trivial_inequality_removal,[],[f121]) ).

thf(f121,plain,
    ( ( $true
      = ( dest @ paris @ sK2 ) )
    | ( $true = $false ) ),
    inference(superposition,[],[f112,f104]) ).

thf(f112,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
        = $false )
      | ( ( dest @ paris @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f111]) ).

thf(f111,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
       => ( dest @ paris @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f110]) ).

thf(f110,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( dest @ paris @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f109]) ).

thf(f109,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( dest @ paris @ Y0 ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f72]) ).

thf(f72,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,[],[f59,f62,f63]) ).

thf(f59,plain,
    ( ( mlocal @ ( mbox @ ( dest @ paris ) ) )
    = $true ),
    inference(cnf_transformation,[],[f40]) ).

thf(f40,plain,
    ( ( mlocal @ ( mbox @ ( dest @ paris ) ) )
    = $true ),
    inference(fool_elimination,[],[f39]) ).

thf(f39,plain,
    mlocal @ ( mbox @ ( dest @ paris ) ),
    inference(rectify,[],[f14]) ).

thf(f14,axiom,
    mlocal @ ( mbox @ ( dest @ paris ) ),
    file('/export/starexec/sandbox/tmp/tmp.1s72abLVcW/Vampire---4.8_20429',belief1) ).

thf(f154,plain,
    ( ( ( dest @ paris @ sK2 )
      = $false )
    | ( ( mrel @ mactual @ sK2 )
      = $false )
    | ( ( class @ second @ sK2 )
      = $false ) ),
    inference(trivial_inequality_removal,[],[f151]) ).

thf(f151,plain,
    ( ( ( dest @ paris @ sK2 )
      = $false )
    | ( ( mrel @ mactual @ sK2 )
      = $false )
    | ( $true = $false )
    | ( ( class @ second @ sK2 )
      = $false ) ),
    inference(superposition,[],[f81,f103]) ).

thf(f103,plain,
    ( ( price @ seventy @ sK2 )
    = $false ),
    inference(binary_proxy_clausification,[],[f102]) ).

thf(f102,plain,
    ( ( ( mrel @ mactual @ sK2 )
     => ( price @ seventy @ sK2 ) )
    = $false ),
    inference(beta_eta_normalization,[],[f101]) ).

thf(f101,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f100]) ).

thf(f100,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) )
   != $true ),
    inference(beta_eta_normalization,[],[f73]) ).

thf(f73,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,f63]) ).

thf(f61,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(cnf_transformation,[],[f50]) ).

thf(f50,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(flattening,[],[f36]) ).

thf(f36,plain,
    ( ( mlocal @ ( mbox @ ( price @ seventy ) ) )
   != $true ),
    inference(fool_elimination,[],[f35]) ).

thf(f35,plain,
    ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ),
    inference(rectify,[],[f17]) ).

thf(f17,negated_conjecture,
    ~ ( mlocal @ ( mbox @ ( price @ seventy ) ) ),
    inference(negated_conjecture,[],[f16]) ).

thf(f16,conjecture,
    mlocal @ ( mbox @ ( price @ seventy ) ),
    file('/export/starexec/sandbox/tmp/tmp.1s72abLVcW/Vampire---4.8_20429',con) ).

thf(f81,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( price @ seventy @ X1 ) )
      | ( ( dest @ paris @ X1 )
        = $false )
      | ( ( class @ second @ X1 )
        = $false )
      | ( ( mrel @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f80]) ).

thf(f80,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( ( class @ second @ X1 )
          & ( dest @ paris @ X1 ) ) )
      | ( $true
        = ( price @ seventy @ X1 ) )
      | ( ( mrel @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f79]) ).

thf(f79,plain,
    ! [X1: mworld] :
      ( ( ( ( ( class @ second @ X1 )
            & ( dest @ paris @ X1 ) )
         => ( price @ seventy @ X1 ) )
        = $true )
      | ( ( mrel @ mactual @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f78]) ).

thf(f78,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
       => ( ( ( class @ second @ X1 )
            & ( dest @ paris @ X1 ) )
         => ( price @ seventy @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f77]) ).

thf(f77,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ( class @ second @ Y0 )
                & ( dest @ paris @ Y0 ) )
             => ( price @ seventy @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f76]) ).

thf(f76,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( ( class @ second @ Y0 )
              & ( dest @ paris @ Y0 ) )
           => ( price @ seventy @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f71]) ).

thf(f71,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] :
                ( ( Y1 @ Y2 )
                & ( Y0 @ Y2 ) )
            @ ( dest @ paris )
            @ ( class @ second ) )
          @ ( price @ seventy ) ) ) ) ),
    inference(definition_unfolding,[],[f58,f62,f63,f68,f60]) ).

thf(f60,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f49]) ).

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

thf(f48,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
          & ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( mand
    = ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.1s72abLVcW/Vampire---4.8_20429',mand_def) ).

thf(f68,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f47]) ).

thf(f47,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f46]) ).

thf(f46,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.1s72abLVcW/Vampire---4.8_20429',mimplies_def) ).

thf(f58,plain,
    ( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f26]) ).

thf(f26,plain,
    ( ( mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f25]) ).

thf(f25,plain,
    mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    inference(rectify,[],[f11]) ).

thf(f11,axiom,
    mlocal @ ( mbox @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.1s72abLVcW/Vampire---4.8_20429',law2) ).

thf(f104,plain,
    ( ( mrel @ mactual @ sK2 )
    = $true ),
    inference(binary_proxy_clausification,[],[f102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NLP267^3 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 12:35:34 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TH0_THM_EQU_NAR problem
% 0.16/0.36  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.1s72abLVcW/Vampire---4.8_20429
% 0.16/0.38  % (20683)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)
% 0.16/0.38  % (20684)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)
% 0.16/0.38  % (20682)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)
% 0.16/0.38  % (20685)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.38  % (20687)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)
% 0.16/0.38  % (20688)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.16/0.38  % (20686)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)
% 0.16/0.38  % (20689)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)
% 0.16/0.39  % (20685)Instruction limit reached!
% 0.16/0.39  % (20685)------------------------------
% 0.16/0.39  % (20685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (20685)Termination reason: Unknown
% 0.16/0.39  % (20685)Termination phase: Property scanning
% 0.16/0.39  % (20686)Instruction limit reached!
% 0.16/0.39  % (20686)------------------------------
% 0.16/0.39  % (20686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (20686)Termination reason: Unknown
% 0.16/0.39  % (20686)Termination phase: Function definition elimination
% 0.16/0.39  
% 0.16/0.39  % (20686)Memory used [KB]: 1023
% 0.16/0.39  % (20686)Time elapsed: 0.003 s
% 0.16/0.39  % (20686)Instructions burned: 3 (million)
% 0.16/0.39  % (20686)------------------------------
% 0.16/0.39  % (20686)------------------------------
% 0.16/0.39  
% 0.16/0.39  % (20685)Memory used [KB]: 1023
% 0.16/0.39  % (20685)Time elapsed: 0.004 s
% 0.16/0.39  % (20685)Instructions burned: 3 (million)
% 0.16/0.39  % (20685)------------------------------
% 0.16/0.39  % (20685)------------------------------
% 0.16/0.39  % (20689)Instruction limit reached!
% 0.16/0.39  % (20689)------------------------------
% 0.16/0.39  % (20689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (20689)Termination reason: Unknown
% 0.16/0.39  % (20689)Termination phase: Function definition elimination
% 0.16/0.39  
% 0.16/0.39  % (20689)Memory used [KB]: 1023
% 0.16/0.39  % (20689)Time elapsed: 0.004 s
% 0.16/0.39  % (20689)Instructions burned: 3 (million)
% 0.16/0.39  % (20689)------------------------------
% 0.16/0.39  % (20689)------------------------------
% 0.16/0.39  % (20683)Instruction limit reached!
% 0.16/0.39  % (20683)------------------------------
% 0.16/0.39  % (20683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (20683)Termination reason: Unknown
% 0.16/0.39  % (20683)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (20687)Refutation not found, incomplete strategy
% 0.16/0.39  % (20687)------------------------------
% 0.16/0.39  % (20687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (20687)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39  
% 0.16/0.39  
% 0.16/0.39  % (20687)Memory used [KB]: 5500
% 0.16/0.39  % (20687)Time elapsed: 0.004 s
% 0.16/0.39  % (20687)Instructions burned: 3 (million)
% 0.16/0.39  % (20687)------------------------------
% 0.16/0.39  % (20687)------------------------------
% 0.16/0.39  % (20683)Memory used [KB]: 5500
% 0.16/0.39  % (20683)Time elapsed: 0.005 s
% 0.16/0.39  % (20683)Instructions burned: 5 (million)
% 0.16/0.39  % (20683)------------------------------
% 0.16/0.39  % (20683)------------------------------
% 0.16/0.39  % (20684)First to succeed.
% 0.16/0.39  % (20688)Also succeeded, but the first one will report.
% 0.16/0.40  % (20684)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Theorem for Vampire---4
% 0.16/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.40  % (20684)------------------------------
% 0.16/0.40  % (20684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (20684)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (20684)Memory used [KB]: 5628
% 0.16/0.40  % (20684)Time elapsed: 0.013 s
% 0.16/0.40  % (20684)Instructions burned: 13 (million)
% 0.16/0.40  % (20684)------------------------------
% 0.16/0.40  % (20684)------------------------------
% 0.16/0.40  % (20681)Success in time 0.013 s
% 0.16/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------