TSTP Solution File: NLP267^17 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP267^17 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   92 (  42 unt;  20 typ;   0 def)
%            Number of atoms       :  405 (  73 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  429 (  19   ~;  27   |;  15   &; 332   @)
%                                         (   3 <=>;  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     :   26 (  22 usr;  13 con; 0-3 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   83 (  71   ^  12   !;   0   ?;  83   :)

% 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(f269,plain,
    $false,
    inference(avatar_sat_refutation,[],[f244,f254,f261,f268]) ).

thf(f268,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f267]) ).

thf(f267,plain,
    ( $false
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f263]) ).

thf(f263,plain,
    ( ( $true = $false )
    | ~ spl0_10 ),
    inference(superposition,[],[f252,f157]) ).

thf(f157,plain,
    ( ( dest @ paris @ sK1 )
    = $true ),
    inference(trivial_inequality_removal,[],[f150]) ).

thf(f150,plain,
    ( ( ( dest @ paris @ sK1 )
      = $true )
    | ( $true = $false ) ),
    inference(superposition,[],[f111,f105]) ).

thf(f105,plain,
    ( $true
    = ( mrel @ '#b_s' @ mactual @ sK1 ) ),
    inference(binary_proxy_clausification,[],[f103]) ).

thf(f103,plain,
    ( $false
    = ( ( mrel @ '#b_s' @ mactual @ sK1 )
     => ( price @ seventy @ sK1 ) ) ),
    inference(beta_eta_normalization,[],[f102]) ).

thf(f102,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) )
      @ sK1 ) ),
    inference(sigma_clausification,[],[f101]) ).

thf(f101,plain,
    ( $true
   != ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f91]) ).

thf(f91,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'
        @ ( price @ seventy ) ) ) ),
    inference(definition_unfolding,[],[f77,f72,f69]) ).

thf(f69,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f28]) ).

thf(f28,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f27]) ).

thf(f27,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/sandbox2/tmp/tmp.p9abhKbIWq/Vampire---4.8_587',mbox_def) ).

thf(f72,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f39]) ).

thf(f39,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    ( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
    = mlocal ),
    file('/export/starexec/sandbox2/tmp/tmp.p9abhKbIWq/Vampire---4.8_587',mlocal_def) ).

thf(f77,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(cnf_transformation,[],[f62]) ).

thf(f62,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(flattening,[],[f53]) ).

thf(f53,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(fool_elimination,[],[f52]) ).

thf(f52,plain,
    ~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
    inference(rectify,[],[f21]) ).

thf(f21,negated_conjecture,
    ~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
    inference(negated_conjecture,[],[f20]) ).

thf(f20,conjecture,
    mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ),
    file('/export/starexec/sandbox2/tmp/tmp.p9abhKbIWq/Vampire---4.8_587',con) ).

thf(f111,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $true
        = ( dest @ paris @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f109]) ).

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

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

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

thf(f106,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( dest @ paris @ Y0 )
            & ( class @ second @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f94]) ).

thf(f94,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 ) )
          @ ( dest @ paris )
          @ ( class @ second ) ) ) ) ),
    inference(definition_unfolding,[],[f84,f72,f69,f85]) ).

thf(f85,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f47]) ).

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

thf(f46,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) )
    = mand ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
          ( ( X3 @ X2 )
          & ( X1 @ X2 ) ) )
    = mand ),
    file('/export/starexec/sandbox2/tmp/tmp.p9abhKbIWq/Vampire---4.8_587',mand_def) ).

thf(f84,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f41]) ).

thf(f41,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f40]) ).

thf(f40,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    inference(rectify,[],[f19]) ).

thf(f19,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.p9abhKbIWq/Vampire---4.8_587',axiom_5) ).

thf(f252,plain,
    ( ( ( dest @ paris @ sK1 )
      = $false )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f250]) ).

thf(f250,plain,
    ( spl0_10
  <=> ( ( dest @ paris @ sK1 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

thf(f261,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f260]) ).

thf(f260,plain,
    ( $false
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f257]) ).

thf(f257,plain,
    ( ( $true = $false )
    | ~ spl0_9 ),
    inference(superposition,[],[f104,f248]) ).

thf(f248,plain,
    ( ( $true
      = ( price @ seventy @ sK1 ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f246]) ).

thf(f246,plain,
    ( spl0_9
  <=> ( $true
      = ( price @ seventy @ sK1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

thf(f104,plain,
    ( $false
    = ( price @ seventy @ sK1 ) ),
    inference(binary_proxy_clausification,[],[f103]) ).

thf(f254,plain,
    ( spl0_10
    | spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f226,f246,f210,f250]) ).

thf(f210,plain,
    ( spl0_5
  <=> ( ( class @ second @ sK1 )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

thf(f226,plain,
    ( ( $true
      = ( price @ seventy @ sK1 ) )
    | ( ( dest @ paris @ sK1 )
      = $false )
    | ( ( class @ second @ sK1 )
      = $false ) ),
    inference(trivial_inequality_removal,[],[f219]) ).

thf(f219,plain,
    ( ( $true = $false )
    | ( ( class @ second @ sK1 )
      = $false )
    | ( $true
      = ( price @ seventy @ sK1 ) )
    | ( ( dest @ paris @ sK1 )
      = $false ) ),
    inference(superposition,[],[f117,f105]) ).

thf(f117,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $false
        = ( dest @ paris @ X1 ) )
      | ( $true
        = ( price @ seventy @ X1 ) )
      | ( $false
        = ( class @ second @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f116]) ).

thf(f116,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $false
        = ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) ) )
      | ( $true
        = ( price @ seventy @ X1 ) ) ),
    inference(binary_proxy_clausification,[],[f115]) ).

thf(f115,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $true
        = ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) ) ),
    inference(binary_proxy_clausification,[],[f114]) ).

thf(f114,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_s' @ mactual @ X1 )
       => ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) ) ),
    inference(beta_eta_normalization,[],[f113]) ).

thf(f113,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_s' @ mactual @ Y0 )
           => ( ( ( dest @ paris @ Y0 )
                & ( class @ second @ Y0 ) )
             => ( price @ seventy @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f112]) ).

thf(f112,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( ( dest @ paris @ Y0 )
              & ( class @ second @ Y0 ) )
           => ( price @ seventy @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f92]) ).

thf(f92,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] :
                ( ( Y0 @ Y2 )
                & ( Y1 @ Y2 ) )
            @ ( dest @ paris )
            @ ( class @ second ) )
          @ ( price @ seventy ) ) ) ) ),
    inference(definition_unfolding,[],[f80,f72,f69,f86,f85]) ).

thf(f86,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f43]) ).

thf(f43,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f42]) ).

thf(f42,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/sandbox2/tmp/tmp.p9abhKbIWq/Vampire---4.8_587',mimplies_def) ).

thf(f80,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f61]) ).

thf(f61,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f60]) ).

thf(f60,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    inference(rectify,[],[f14]) ).

thf(f14,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.p9abhKbIWq/Vampire---4.8_587',axiom_2) ).

thf(f244,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f243]) ).

thf(f243,plain,
    ( $false
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f239]) ).

thf(f239,plain,
    ( ( $true = $false )
    | ~ spl0_5 ),
    inference(superposition,[],[f212,f149]) ).

thf(f149,plain,
    ( ( class @ second @ sK1 )
    = $true ),
    inference(trivial_inequality_removal,[],[f144]) ).

thf(f144,plain,
    ( ( $true = $false )
    | ( ( class @ second @ sK1 )
      = $true ) ),
    inference(superposition,[],[f105,f110]) ).

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

thf(f212,plain,
    ( ( ( class @ second @ sK1 )
      = $false )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f210]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NLP267^17 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.12  % 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
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 12:47:13 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TH0_THM_EQU_NAR problem
% 0.12/0.33  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/tmp/tmp.p9abhKbIWq/Vampire---4.8_587
% 0.12/0.35  % (721)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)
% 0.12/0.35  % (710)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)
% 0.12/0.35  % (718)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)
% 0.12/0.35  % (722)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)
% 0.12/0.35  % (720)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.12/0.35  % (719)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)
% 0.12/0.35  % (724)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)
% 0.12/0.35  % (723)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.12/0.35  % (720)Instruction limit reached!
% 0.12/0.35  % (720)------------------------------
% 0.12/0.35  % (720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (720)Termination reason: Unknown
% 0.12/0.35  % (720)Termination phase: shuffling
% 0.12/0.35  % (721)Instruction limit reached!
% 0.12/0.35  % (721)------------------------------
% 0.12/0.35  % (721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (721)Termination reason: Unknown
% 0.12/0.35  % (721)Termination phase: Property scanning
% 0.12/0.35  
% 0.12/0.35  % (721)Memory used [KB]: 1023
% 0.12/0.35  % (721)Time elapsed: 0.003 s
% 0.12/0.35  % (721)Instructions burned: 3 (million)
% 0.12/0.35  % (721)------------------------------
% 0.12/0.35  % (721)------------------------------
% 0.12/0.35  
% 0.12/0.35  % (720)Memory used [KB]: 1023
% 0.12/0.35  % (720)Time elapsed: 0.002 s
% 0.12/0.35  % (720)Instructions burned: 2 (million)
% 0.12/0.35  % (720)------------------------------
% 0.12/0.35  % (720)------------------------------
% 0.12/0.35  % (718)Instruction limit reached!
% 0.12/0.35  % (718)------------------------------
% 0.12/0.35  % (718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (718)Termination reason: Unknown
% 0.12/0.35  % (718)Termination phase: Property scanning
% 0.12/0.35  
% 0.12/0.35  % (718)Memory used [KB]: 1023
% 0.12/0.35  % (718)Time elapsed: 0.004 s
% 0.12/0.35  % (718)Instructions burned: 5 (million)
% 0.12/0.35  % (718)------------------------------
% 0.12/0.35  % (718)------------------------------
% 0.12/0.35  % (722)Refutation not found, incomplete strategy
% 0.12/0.35  % (722)------------------------------
% 0.12/0.35  % (722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (722)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35  
% 0.12/0.35  % (724)Instruction limit reached!
% 0.12/0.35  % (724)------------------------------
% 0.12/0.35  % (724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (724)Termination reason: Unknown
% 0.12/0.35  % (724)Termination phase: Function definition elimination
% 0.12/0.35  
% 0.12/0.35  % (724)Memory used [KB]: 1023
% 0.12/0.35  % (724)Time elapsed: 0.003 s
% 0.12/0.35  % (724)Instructions burned: 4 (million)
% 0.12/0.35  % (724)------------------------------
% 0.12/0.35  % (724)------------------------------
% 0.12/0.35  
% 0.12/0.35  % (722)Memory used [KB]: 5500
% 0.12/0.35  % (722)Time elapsed: 0.004 s
% 0.12/0.35  % (722)Instructions burned: 4 (million)
% 0.12/0.35  % (722)------------------------------
% 0.12/0.35  % (722)------------------------------
% 0.12/0.35  % (710)First to succeed.
% 0.12/0.36  % (723)Instruction limit reached!
% 0.12/0.36  % (723)------------------------------
% 0.12/0.36  % (723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (723)Termination reason: Unknown
% 0.12/0.36  % (723)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (723)Memory used [KB]: 5628
% 0.12/0.36  % (723)Time elapsed: 0.011 s
% 0.12/0.36  % (723)Instructions burned: 19 (million)
% 0.12/0.36  % (723)------------------------------
% 0.12/0.36  % (723)------------------------------
% 0.12/0.36  % (710)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Theorem for Vampire---4
% 0.12/0.36  % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.36  % (710)------------------------------
% 0.12/0.36  % (710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (710)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (710)Memory used [KB]: 5628
% 0.12/0.36  % (710)Time elapsed: 0.012 s
% 0.12/0.36  % (710)Instructions burned: 17 (million)
% 0.12/0.36  % (710)------------------------------
% 0.12/0.36  % (710)------------------------------
% 0.12/0.36  % (709)Success in time 0.011 s
% 0.12/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------