TSTP Solution File: PUZ150^18 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ150^18 : 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 : n003.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 08:49:30 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   81 (  43 unt;  30 typ;   0 def)
%            Number of atoms       :  255 (  46 equ;   0 cnn)
%            Maximal formula atoms :    8 (   5 avg)
%            Number of connectives :  458 (  31   ~;   3   |;  23   &; 346   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   69 (  69   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  26 usr;  11 con; 0-3 aty)
%                                         (  16  !!;  17  ??;   0 @@+;   0 @@-)
%            Number of variables   :  108 (  90   ^  16   !;   2   ?; 108   :)

% 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,
    '#c': mindex ).

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

thf(func_def_5,type,
    '#a': mindex ).

thf(func_def_6,type,
    mactual: mworld ).

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

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

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

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

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

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

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

thf(func_def_15,type,
    mdia: mindex > ( mworld > $o ) > mworld > $o ).

thf(func_def_16,type,
    c0: mworld > $o ).

thf(func_def_17,type,
    c1: mworld > $o ).

thf(func_def_18,type,
    b0: mworld > $o ).

thf(func_def_19,type,
    c2: mworld > $o ).

thf(func_def_20,type,
    b1: mworld > $o ).

thf(func_def_21,type,
    a0: mworld > $o ).

thf(func_def_22,type,
    b2: mworld > $o ).

thf(func_def_23,type,
    a1: mworld > $o ).

thf(func_def_24,type,
    a2: mworld > $o ).

thf(func_def_25,type,
    cb: mworld > $o ).

thf(func_def_41,type,
    sK1: mworld ).

thf(func_def_42,type,
    sK2: mworld ).

thf(func_def_43,type,
    sK3: mworld ).

thf(f243,plain,
    $false,
    inference(trivial_inequality_removal,[],[f241]) ).

thf(f241,plain,
    $true = $false,
    inference(superposition,[],[f240,f110]) ).

thf(f110,plain,
    ( ( a0 @ mactual )
    = $true ),
    inference(beta_eta_normalization,[],[f91]) ).

thf(f91,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ a0 ) ),
    inference(definition_unfolding,[],[f82,f77]) ).

thf(f77,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f31]) ).

thf(f31,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.gFv55EAIXQ/Vampire---4.8_676',mlocal_def) ).

thf(f82,plain,
    ( ( mlocal @ a0 )
    = $true ),
    inference(cnf_transformation,[],[f28]) ).

thf(f28,plain,
    ( ( mlocal @ a0 )
    = $true ),
    inference(fool_elimination,[],[f27]) ).

thf(f27,plain,
    mlocal @ a0,
    inference(rectify,[],[f19]) ).

thf(f19,axiom,
    mlocal @ a0,
    file('/export/starexec/sandbox/tmp/tmp.gFv55EAIXQ/Vampire---4.8_676',axiom_a0) ).

thf(f240,plain,
    ! [X0: mworld] :
      ( ( a0 @ X0 )
      = $false ),
    inference(trivial_inequality_removal,[],[f237]) ).

thf(f237,plain,
    ! [X0: mworld] :
      ( ( ( a0 @ X0 )
        = $false )
      | ( $true = $false ) ),
    inference(superposition,[],[f218,f71]) ).

thf(f71,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ '#c' @ X1 @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f55]) ).

thf(f55,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ '#c' @ X1 @ X0 )
      = $true ),
    inference(fool_elimination,[],[f54]) ).

thf(f54,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ '#c' @ X1 @ X0 ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ! [X5: mworld,X2: mworld] : ( mrel @ '#c' @ X2 @ X5 ),
    file('/export/starexec/sandbox/tmp/tmp.gFv55EAIXQ/Vampire---4.8_676','mrel_#c_universal') ).

thf(f218,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#c' @ sK3 @ X1 )
        = $false )
      | ( ( a0 @ X1 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f217]) ).

thf(f217,plain,
    ! [X1: mworld] :
      ( ( ( ~ ( a0 @ X1 ) )
        = $true )
      | ( ( mrel @ '#c' @ sK3 @ X1 )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f216]) ).

thf(f216,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#c' @ sK3 @ X1 )
       => ~ ( a0 @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f215]) ).

thf(f215,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#c' @ sK3 @ Y0 )
           => ~ ( a0 @ Y0 ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f214]) ).

thf(f214,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#c' @ sK3 @ Y0 )
         => ~ ( a0 @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f212]) ).

thf(f212,plain,
    ( ( ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#c' @ sK3 @ Y0 )
           => ~ ( a0 @ Y0 ) ) )
      & ( mrel @ '#b' @ sK2 @ sK3 ) )
    = $true ),
    inference(beta_eta_normalization,[],[f211]) ).

thf(f211,plain,
    ( $true
    = ( ^ [Y0: mworld] :
          ( ( !! @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#c' @ Y0 @ Y1 )
               => ~ ( a0 @ Y1 ) ) )
          & ( mrel @ '#b' @ sK2 @ Y0 ) )
      @ sK3 ) ),
    inference(sigma_clausification,[],[f210]) ).

thf(f210,plain,
    ( $true
    = ( ?? @ mworld
      @ ^ [Y0: mworld] :
          ( ( !! @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#c' @ Y0 @ Y1 )
               => ~ ( a0 @ Y1 ) ) )
          & ( mrel @ '#b' @ sK2 @ Y0 ) ) ) ),
    inference(binary_proxy_clausification,[],[f208]) ).

thf(f208,plain,
    ( $true
    = ( ( ?? @ mworld
        @ ^ [Y0: mworld] :
            ( ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#c' @ Y0 @ Y1 )
                 => ~ ( a0 @ Y1 ) ) )
            & ( mrel @ '#b' @ sK2 @ Y0 ) ) )
      & ( mrel @ '#a' @ sK1 @ sK2 ) ) ),
    inference(beta_eta_normalization,[],[f207]) ).

thf(f207,plain,
    ( ( ^ [Y0: mworld] :
          ( ( ?? @ mworld
            @ ^ [Y1: mworld] :
                ( ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#c' @ Y1 @ Y2 )
                     => ~ ( a0 @ Y2 ) ) )
                & ( mrel @ '#b' @ Y0 @ Y1 ) ) )
          & ( mrel @ '#a' @ sK1 @ Y0 ) )
      @ sK2 )
    = $true ),
    inference(sigma_clausification,[],[f206]) ).

thf(f206,plain,
    ( ( ?? @ mworld
      @ ^ [Y0: mworld] :
          ( ( ?? @ mworld
            @ ^ [Y1: mworld] :
                ( ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#c' @ Y1 @ Y2 )
                     => ~ ( a0 @ Y2 ) ) )
                & ( mrel @ '#b' @ Y0 @ Y1 ) ) )
          & ( mrel @ '#a' @ sK1 @ Y0 ) ) )
    = $true ),
    inference(not_proxy_clausification,[],[f204]) ).

thf(f204,plain,
    ( ( ~ ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( ?? @ mworld
                @ ^ [Y1: mworld] :
                    ( ( !! @ mworld
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#c' @ Y1 @ Y2 )
                         => ~ ( a0 @ Y2 ) ) )
                    & ( mrel @ '#b' @ Y0 @ Y1 ) ) )
              & ( mrel @ '#a' @ sK1 @ Y0 ) ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f203]) ).

thf(f203,plain,
    ( ( ( mrel @ '#b' @ mactual @ sK1 )
     => ~ ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( ?? @ mworld
                @ ^ [Y1: mworld] :
                    ( ( !! @ mworld
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#c' @ Y1 @ Y2 )
                         => ~ ( a0 @ Y2 ) ) )
                    & ( mrel @ '#b' @ Y0 @ Y1 ) ) )
              & ( mrel @ '#a' @ sK1 @ Y0 ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f202]) ).

thf(f202,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ mactual @ Y0 )
         => ~ ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( ?? @ mworld
                    @ ^ [Y2: mworld] :
                        ( ( !! @ mworld
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#c' @ Y2 @ Y3 )
                             => ~ ( a0 @ Y3 ) ) )
                        & ( mrel @ '#b' @ Y1 @ Y2 ) ) )
                  & ( mrel @ '#a' @ Y0 @ Y1 ) ) ) )
      @ sK1 )
    = $false ),
    inference(sigma_clausification,[],[f201]) ).

thf(f201,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ mactual @ Y0 )
         => ~ ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( ?? @ mworld
                    @ ^ [Y2: mworld] :
                        ( ( !! @ mworld
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#c' @ Y2 @ Y3 )
                             => ~ ( a0 @ Y3 ) ) )
                        & ( mrel @ '#b' @ Y1 @ Y2 ) ) )
                  & ( mrel @ '#a' @ Y0 @ Y1 ) ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[],[f87]) ).

thf(f87,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b'
        @ ( ^ [Y0: mworld > $o,Y1: mworld] :
              ~ ( Y0 @ Y1 )
          @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
                ( ?? @ mworld
                @ ^ [Y3: mworld] :
                    ( ( Y1 @ Y3 )
                    & ( mrel @ Y0 @ Y2 @ Y3 ) ) )
            @ '#a'
            @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
                  ( ?? @ mworld
                  @ ^ [Y3: mworld] :
                      ( ( Y1 @ Y3 )
                      & ( mrel @ Y0 @ Y2 @ Y3 ) ) )
              @ '#b'
              @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
                    ( !! @ mworld
                    @ ^ [Y3: mworld] :
                        ( ( mrel @ Y0 @ Y2 @ Y3 )
                       => ( Y1 @ Y3 ) ) )
                @ '#c'
                @ ( ^ [Y0: mworld > $o,Y1: mworld] :
                      ~ ( Y0 @ Y1 )
                  @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(definition_unfolding,[],[f73,f77,f68,f69,f75,f75,f68,f69]) ).

thf(f75,plain,
    ( mdia
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( ?? @ mworld
          @ ^ [Y3: mworld] :
              ( ( Y1 @ Y3 )
              & ( mrel @ Y0 @ Y2 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f57]) ).

thf(f57,plain,
    ( mdia
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( ?? @ mworld
          @ ^ [Y3: mworld] :
              ( ( Y1 @ Y3 )
              & ( mrel @ Y0 @ Y2 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f56]) ).

thf(f56,plain,
    ( ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ? [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
          & ( X1 @ X3 ) ) )
    = mdia ),
    inference(rectify,[],[f8]) ).

thf(f8,axiom,
    ( ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
        ? [X5: mworld] :
          ( ( mrel @ X4 @ X2 @ X5 )
          & ( X0 @ X5 ) ) )
    = mdia ),
    file('/export/starexec/sandbox/tmp/tmp.gFv55EAIXQ/Vampire---4.8_676',mdia_def) ).

thf(f69,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f61]) ).

thf(f61,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f60]) ).

thf(f60,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) )
    = mnot ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ( ( ^ [X1: mworld > $o,X2: mworld] :
          ~ ( X1 @ X2 ) )
    = mnot ),
    file('/export/starexec/sandbox/tmp/tmp.gFv55EAIXQ/Vampire---4.8_676',mnot_def) ).

thf(f68,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f51]) ).

thf(f51,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f50]) ).

thf(f50,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.gFv55EAIXQ/Vampire---4.8_676',mbox_def) ).

thf(f73,plain,
    ( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f62]) ).

thf(f62,plain,
    ( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(flattening,[],[f47]) ).

thf(f47,plain,
    ( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f46]) ).

thf(f46,plain,
    ~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
    inference(rectify,[],[f21]) ).

thf(f21,negated_conjecture,
    ~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f20]) ).

thf(f20,conjecture,
    mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gFv55EAIXQ/Vampire---4.8_676',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : PUZ150^18 : TPTP v8.1.2. Released v8.1.0.
% 0.05/0.13  % 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
% 0.12/0.33  % Computer : n003.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 18:53:08 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TH0_THM_EQU_NAR problem
% 0.12/0.34  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.gFv55EAIXQ/Vampire---4.8_676
% 0.12/0.35  % (800)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  % (798)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  % (804)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  % (803)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  % (801)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  % (799)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  % (802)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  % (800)Instruction limit reached!
% 0.12/0.35  % (800)------------------------------
% 0.12/0.35  % (800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (800)Termination reason: Unknown
% 0.12/0.35  % (800)Termination phase: shuffling
% 0.12/0.35  
% 0.12/0.35  % (800)Memory used [KB]: 1023
% 0.12/0.35  % (801)Instruction limit reached!
% 0.12/0.35  % (801)------------------------------
% 0.12/0.35  % (801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (801)Termination reason: Unknown
% 0.12/0.35  % (801)Termination phase: shuffling
% 0.12/0.35  
% 0.12/0.35  % (801)Memory used [KB]: 1023
% 0.12/0.35  % (801)Time elapsed: 0.002 s
% 0.12/0.35  % (801)Instructions burned: 2 (million)
% 0.12/0.36  % (801)------------------------------
% 0.12/0.36  % (801)------------------------------
% 0.12/0.36  % (800)Time elapsed: 0.002 s
% 0.12/0.36  % (800)Instructions burned: 2 (million)
% 0.12/0.36  % (800)------------------------------
% 0.12/0.36  % (800)------------------------------
% 0.12/0.36  % (798)Instruction limit reached!
% 0.12/0.36  % (798)------------------------------
% 0.12/0.36  % (798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (798)Termination reason: Unknown
% 0.12/0.36  % (798)Termination phase: Naming
% 0.12/0.36  
% 0.12/0.36  % (798)Memory used [KB]: 1023
% 0.12/0.36  % (798)Time elapsed: 0.003 s
% 0.12/0.36  % (798)Instructions burned: 4 (million)
% 0.12/0.36  % (798)------------------------------
% 0.12/0.36  % (798)------------------------------
% 0.12/0.36  % (797)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)
% 0.12/0.36  % (804)Instruction limit reached!
% 0.12/0.36  % (804)------------------------------
% 0.12/0.36  % (804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (804)Termination reason: Unknown
% 0.12/0.36  % (804)Termination phase: Property scanning
% 0.12/0.36  
% 0.12/0.36  % (804)Memory used [KB]: 1023
% 0.12/0.36  % (804)Time elapsed: 0.004 s
% 0.12/0.36  % (804)Instructions burned: 4 (million)
% 0.12/0.36  % (804)------------------------------
% 0.12/0.36  % (804)------------------------------
% 0.12/0.36  % (802)Refutation not found, incomplete strategy
% 0.12/0.36  % (802)------------------------------
% 0.12/0.36  % (802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (802)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % (802)Memory used [KB]: 5500
% 0.12/0.36  % (802)Time elapsed: 0.004 s
% 0.12/0.36  % (802)Instructions burned: 4 (million)
% 0.12/0.36  % (802)------------------------------
% 0.12/0.36  % (802)------------------------------
% 0.12/0.36  % (803)Instruction limit reached!
% 0.12/0.36  % (803)------------------------------
% 0.12/0.36  % (803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (803)Termination reason: Unknown
% 0.12/0.36  % (803)Termination phase: Saturation
% 0.12/0.36  
% 0.12/0.36  % (803)Memory used [KB]: 5628
% 0.12/0.36  % (803)Time elapsed: 0.010 s
% 0.12/0.36  % (803)Instructions burned: 18 (million)
% 0.12/0.36  % (803)------------------------------
% 0.12/0.36  % (803)------------------------------
% 0.12/0.37  % (799)Instruction limit reached!
% 0.12/0.37  % (799)------------------------------
% 0.12/0.37  % (799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (799)Termination reason: Unknown
% 0.12/0.37  % (799)Termination phase: Saturation
% 0.12/0.37  
% 0.12/0.37  % (799)Memory used [KB]: 5628
% 0.12/0.37  % (799)Time elapsed: 0.014 s
% 0.12/0.37  % (799)Instructions burned: 28 (million)
% 0.12/0.37  % (799)------------------------------
% 0.12/0.37  % (799)------------------------------
% 0.12/0.37  % (805)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 Vampire---4 for (2999ds/37Mi)
% 0.12/0.37  % (806)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.12/0.37  % (808)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.12/0.37  % (797)First to succeed.
% 0.12/0.37  % (809)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.12/0.37  % (797)Refutation found. Thanks to Tanya!
% 0.12/0.37  % SZS status Theorem for Vampire---4
% 0.12/0.37  % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.37  % (797)------------------------------
% 0.12/0.37  % (797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37  % (797)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (797)Memory used [KB]: 5756
% 0.12/0.37  % (797)Time elapsed: 0.018 s
% 0.12/0.37  % (797)Instructions burned: 27 (million)
% 0.12/0.37  % (797)------------------------------
% 0.12/0.37  % (797)------------------------------
% 0.12/0.37  % (796)Success in time 0.031 s
% 0.12/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------