TSTP Solution File: PUZ150^18 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : PUZ150^18 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% 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 : Mon Jun 24 13:50:34 EDT 2024

% Result   : Theorem 0.12s 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   51 (  43 unt;   0 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  :   23 (  23   >;   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,[],[f242]) ).

thf(f242,plain,
    $false = $true,
    inference(superposition,[],[f218,f240]) ).

thf(f240,plain,
    ! [X0: mworld] :
      ( $false
      = ( a0 @ X0 ) ),
    inference(trivial_inequality_removal,[],[f238]) ).

thf(f238,plain,
    ! [X0: mworld] :
      ( ( $false
        = ( a0 @ X0 ) )
      | ( $false = $true ) ),
    inference(superposition,[],[f75,f109]) ).

thf(f109,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#c' @ sK3 @ X1 )
        = $false )
      | ( ( a0 @ X1 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f108]) ).

thf(f108,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#c' @ sK3 @ X1 )
        = $false )
      | ( ( ~ ( a0 @ X1 ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f107]) ).

thf(f107,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#c' @ sK3 @ X1 )
       => ~ ( a0 @ X1 ) )
      = $true ),
    inference(beta_eta_normalization,[],[f106]) ).

thf(f106,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ '#c' @ sK3 @ Y0 )
           => ~ ( a0 @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f104]) ).

thf(f104,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#c' @ sK3 @ Y0 )
         => ~ ( a0 @ Y0 ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f103]) ).

thf(f103,plain,
    ( ( ( mrel @ '#b' @ sK2 @ sK3 )
      & ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#c' @ sK3 @ Y0 )
           => ~ ( a0 @ Y0 ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f102]) ).

thf(f102,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ sK2 @ Y0 )
          & ( !! @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#c' @ Y0 @ Y1 )
               => ~ ( a0 @ Y1 ) ) ) )
      @ sK3 )
    = $true ),
    inference(sigma_clausification,[],[f100]) ).

thf(f100,plain,
    ( ( ?? @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ sK2 @ Y0 )
          & ( !! @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#c' @ Y0 @ Y1 )
               => ~ ( a0 @ Y1 ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f99]) ).

thf(f99,plain,
    ( $true
    = ( ( mrel @ '#a' @ sK1 @ sK2 )
      & ( ?? @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#b' @ sK2 @ Y0 )
            & ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#c' @ Y0 @ Y1 )
                 => ~ ( a0 @ Y1 ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f98]) ).

thf(f98,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ '#a' @ sK1 @ Y0 )
          & ( ?? @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#b' @ Y0 @ Y1 )
                & ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#c' @ Y1 @ Y2 )
                     => ~ ( a0 @ Y2 ) ) ) ) ) )
      @ sK2 )
    = $true ),
    inference(sigma_clausification,[],[f97]) ).

thf(f97,plain,
    ( ( ?? @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#a' @ sK1 @ Y0 )
          & ( ?? @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#b' @ Y0 @ Y1 )
                & ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#c' @ Y1 @ Y2 )
                     => ~ ( a0 @ Y2 ) ) ) ) ) ) )
    = $true ),
    inference(not_proxy_clausification,[],[f95]) ).

thf(f95,plain,
    ( ( ~ ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#a' @ sK1 @ Y0 )
              & ( ?? @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#b' @ Y0 @ Y1 )
                    & ( !! @ mworld
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#c' @ Y1 @ Y2 )
                         => ~ ( a0 @ Y2 ) ) ) ) ) ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f94]) ).

thf(f94,plain,
    ( ( ( mrel @ '#b' @ mactual @ sK1 )
     => ~ ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#a' @ sK1 @ Y0 )
              & ( ?? @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#b' @ Y0 @ Y1 )
                    & ( !! @ mworld
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#c' @ Y1 @ Y2 )
                         => ~ ( a0 @ Y2 ) ) ) ) ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f93]) ).

thf(f93,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ mactual @ Y0 )
         => ~ ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#a' @ Y0 @ Y1 )
                  & ( ?? @ mworld
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#b' @ Y1 @ Y2 )
                        & ( !! @ mworld
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#c' @ Y2 @ Y3 )
                             => ~ ( a0 @ Y3 ) ) ) ) ) ) ) )
      @ sK1 )
    = $false ),
    inference(sigma_clausification,[],[f92]) ).

thf(f92,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ mactual @ Y0 )
         => ~ ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#a' @ Y0 @ Y1 )
                  & ( ?? @ mworld
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#b' @ Y1 @ Y2 )
                        & ( !! @ mworld
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#c' @ Y2 @ Y3 )
                             => ~ ( a0 @ Y3 ) ) ) ) ) ) ) ) )
   != $true ),
    inference(beta_eta_normalization,[],[f91]) ).

thf(f91,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] :
                    ( ( mrel @ Y0 @ Y2 @ Y3 )
                    & ( Y1 @ Y3 ) ) )
            @ '#a'
            @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
                  ( ?? @ mworld
                  @ ^ [Y3: mworld] :
                      ( ( mrel @ Y0 @ Y2 @ Y3 )
                      & ( Y1 @ 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,[],[f81,f64,f73,f82,f77,f77,f73,f82]) ).

thf(f77,plain,
    ( mdia
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( ?? @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
              & ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f28]) ).

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

thf(f27,plain,
    ( mdia
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ? [X3: mworld] :
          ( ( X1 @ X3 )
          & ( mrel @ X0 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f8,axiom,
    ( mdia
    = ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
        ? [X5: mworld] :
          ( ( X0 @ X5 )
          & ( mrel @ X4 @ X2 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).

thf(f82,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f54]) ).

thf(f54,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f53]) ).

thf(f53,plain,
    ( mnot
    = ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ( mnot
    = ( ^ [X1: mworld > $o,X2: mworld] :
          ~ ( X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).

thf(f73,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f44]) ).

thf(f44,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f43]) ).

thf(f43,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/benchmark/theBenchmark.p',mbox_def) ).

thf(f64,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f55]) ).

thf(f55,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    ( mlocal
    = ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).

thf(f81,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,[],[f48]) ).

thf(f48,plain,
    ( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f47]) ).

thf(f47,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/benchmark/theBenchmark.p',con) ).

thf(f75,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ '#c' @ X1 @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f52]) ).

thf(f52,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ '#c' @ X1 @ X0 )
      = $true ),
    inference(fool_elimination,[],[f51]) ).

thf(f51,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/benchmark/theBenchmark.p','mrel_#c_universal') ).

thf(f218,plain,
    ( ( a0 @ mactual )
    = $true ),
    inference(beta_eta_normalization,[],[f89]) ).

thf(f89,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ a0 )
    = $true ),
    inference(definition_unfolding,[],[f78,f64]) ).

thf(f78,plain,
    ( ( mlocal @ a0 )
    = $true ),
    inference(cnf_transformation,[],[f50]) ).

thf(f50,plain,
    ( ( mlocal @ a0 )
    = $true ),
    inference(fool_elimination,[],[f49]) ).

thf(f49,plain,
    mlocal @ a0,
    inference(rectify,[],[f19]) ).

thf(f19,axiom,
    mlocal @ a0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ150^18 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Jun 18 09:56:25 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a TH0_THM_EQU_NAR problem
% 0.12/0.36  Running higher-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38  % (19490)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38  % (19491)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 theBenchmark for (2999ds/4Mi)
% 0.12/0.38  % (19492)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 theBenchmark for (2999ds/27Mi)
% 0.12/0.38  % (19493)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38  % (19494)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38  % (19495)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.38  % (19496)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38  % (19493)Instruction limit reached!
% 0.12/0.38  % (19493)------------------------------
% 0.12/0.38  % (19493)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38  % (19493)Termination reason: Unknown
% 0.12/0.38  % (19493)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (19493)Memory used [KB]: 1023
% 0.12/0.38  % (19493)Time elapsed: 0.004 s
% 0.12/0.38  % (19493)Instructions burned: 2 (million)
% 0.12/0.38  % (19493)------------------------------
% 0.12/0.38  % (19493)------------------------------
% 0.12/0.38  % (19494)Instruction limit reached!
% 0.12/0.38  % (19494)------------------------------
% 0.12/0.38  % (19494)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38  % (19494)Termination reason: Unknown
% 0.12/0.38  % (19494)Termination phase: Property scanning
% 0.12/0.38  
% 0.12/0.38  % (19494)Memory used [KB]: 1023
% 0.12/0.38  % (19494)Time elapsed: 0.004 s
% 0.12/0.38  % (19494)Instructions burned: 2 (million)
% 0.12/0.38  % (19494)------------------------------
% 0.12/0.38  % (19494)------------------------------
% 0.12/0.38  % (19491)Instruction limit reached!
% 0.12/0.38  % (19491)------------------------------
% 0.12/0.38  % (19491)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38  % (19491)Termination reason: Unknown
% 0.12/0.38  % (19491)Termination phase: Function definition elimination
% 0.12/0.38  
% 0.12/0.38  % (19491)Memory used [KB]: 1023
% 0.12/0.38  % (19491)Time elapsed: 0.005 s
% 0.12/0.38  % (19491)Instructions burned: 5 (million)
% 0.12/0.38  % (19491)------------------------------
% 0.12/0.38  % (19491)------------------------------
% 0.12/0.38  % (19495)Refutation not found, incomplete strategy
% 0.12/0.38  % (19495)------------------------------
% 0.12/0.38  % (19495)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38  % (19495)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  % (19495)Memory used [KB]: 5500
% 0.12/0.38  % (19495)Time elapsed: 0.005 s
% 0.12/0.38  % (19495)Instructions burned: 4 (million)
% 0.12/0.38  % (19495)------------------------------
% 0.12/0.38  % (19495)------------------------------
% 0.12/0.39  % (19496)Instruction limit reached!
% 0.12/0.39  % (19496)------------------------------
% 0.12/0.39  % (19496)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39  % (19496)Termination reason: Unknown
% 0.12/0.39  % (19496)Termination phase: Saturation
% 0.12/0.39  
% 0.12/0.39  % (19496)Memory used [KB]: 5628
% 0.12/0.39  % (19496)Time elapsed: 0.013 s
% 0.12/0.39  % (19496)Instructions burned: 19 (million)
% 0.12/0.39  % (19496)------------------------------
% 0.12/0.39  % (19496)------------------------------
% 0.12/0.39  % (19490)First to succeed.
% 0.12/0.40  % (19492)Instruction limit reached!
% 0.12/0.40  % (19492)------------------------------
% 0.12/0.40  % (19492)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40  % (19492)Termination reason: Unknown
% 0.12/0.40  % (19492)Termination phase: Saturation
% 0.12/0.40  
% 0.12/0.40  % (19492)Memory used [KB]: 5756
% 0.12/0.40  % (19492)Time elapsed: 0.019 s
% 0.12/0.40  % (19492)Instructions burned: 27 (million)
% 0.12/0.40  % (19492)------------------------------
% 0.12/0.40  % (19492)------------------------------
% 0.12/0.40  % (19490)Refutation found. Thanks to Tanya!
% 0.12/0.40  % SZS status Theorem for theBenchmark
% 0.12/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.40  % (19490)------------------------------
% 0.12/0.40  % (19490)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40  % (19490)Termination reason: Refutation
% 0.12/0.40  
% 0.12/0.40  % (19490)Memory used [KB]: 5756
% 0.12/0.40  % (19490)Time elapsed: 0.018 s
% 0.12/0.40  % (19490)Instructions burned: 23 (million)
% 0.12/0.40  % (19490)------------------------------
% 0.12/0.40  % (19490)------------------------------
% 0.12/0.40  % (19489)Success in time 0.031 s
%------------------------------------------------------------------------------