TSTP Solution File: NLP265^17 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP265^17 : TPTP v8.2.0. 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 : n004.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 : Tue May 21 01:03:29 EDT 2024

% Result   : ContradictoryAxioms 0.15s 0.41s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   74 (  35 unt;  25 typ;   0 def)
%            Number of atoms       :  239 (  53 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  299 (  12   ~;  13   |;   0   &; 244   @)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   59 (  59   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  22 usr;  11 con; 0-3 aty)
%                                         (  11  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   76 (  50   ^  26   !;   0   ?;  76   :)

% 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,
    '#i_alice': mindex ).

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

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

thf(func_def_6,type,
    '#b_bob': mindex ).

thf(func_def_7,type,
    mactual: mworld ).

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

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

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

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

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

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

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

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

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

thf(func_def_34,type,
    sK1: mworld > mworld ).

thf(func_def_35,type,
    sK2: mworld > mworld ).

thf(func_def_36,type,
    sK3: mworld > mworld ).

thf(func_def_37,type,
    sK4: mworld > mworld ).

thf(func_def_38,type,
    sK5: mworld ).

thf(func_def_39,type,
    sK6: mworld ).

thf(f191,plain,
    $false,
    inference(trivial_inequality_removal,[],[f190]) ).

thf(f190,plain,
    $true = $false,
    inference(superposition,[],[f176,f188]) ).

thf(f188,plain,
    ( $false
    = ( bigcity @ portland @ mactual ) ),
    inference(trivial_inequality_removal,[],[f186]) ).

thf(f186,plain,
    ( ( $false
      = ( bigcity @ portland @ mactual ) )
    | ( $true = $false ) ),
    inference(superposition,[],[f85,f183]) ).

thf(f183,plain,
    ! [X0: mworld] :
      ( ( ( mrel @ '#b_alice' @ mactual @ X0 )
        = $false )
      | ( ( bigcity @ portland @ X0 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f179]) ).

thf(f179,plain,
    ! [X0: mworld] :
      ( ( ( mrel @ '#b_alice' @ mactual @ X0 )
        = $false )
      | ( ( bigcity @ portland @ X0 )
        = $false )
      | ( $true = $false ) ),
    inference(superposition,[],[f82,f172]) ).

thf(f172,plain,
    ! [X2: mworld,X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_bob' @ X1 @ X2 ) )
      | ( ( mrel @ '#b_alice' @ mactual @ X1 )
        = $false )
      | ( $false
        = ( bigcity @ portland @ X2 ) ) ),
    inference(not_proxy_clausification,[],[f171]) ).

thf(f171,plain,
    ! [X2: mworld,X1: mworld] :
      ( ( ( mrel @ '#b_alice' @ mactual @ X1 )
        = $false )
      | ( $false
        = ( mrel @ '#b_bob' @ X1 @ X2 ) )
      | ( $true
        = ( ~ ( bigcity @ portland @ X2 ) ) ) ),
    inference(binary_proxy_clausification,[],[f170]) ).

thf(f170,plain,
    ! [X2: mworld,X1: mworld] :
      ( ( $true
        = ( ( mrel @ '#b_bob' @ X1 @ X2 )
         => ~ ( bigcity @ portland @ X2 ) ) )
      | ( ( mrel @ '#b_alice' @ mactual @ X1 )
        = $false ) ),
    inference(beta_eta_normalization,[],[f169]) ).

thf(f169,plain,
    ! [X2: mworld,X1: mworld] :
      ( ( ( ^ [Y0: mworld] :
              ( ( mrel @ '#b_bob' @ X1 @ Y0 )
             => ~ ( bigcity @ portland @ Y0 ) )
          @ X2 )
        = $true )
      | ( ( mrel @ '#b_alice' @ mactual @ X1 )
        = $false ) ),
    inference(pi_clausification,[],[f168]) ).

thf(f168,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_alice' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( !! @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#b_bob' @ X1 @ Y0 )
             => ~ ( bigcity @ portland @ Y0 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f167]) ).

thf(f167,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_alice' @ mactual @ X1 )
       => ( !! @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#b_bob' @ X1 @ Y0 )
             => ~ ( bigcity @ portland @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f166]) ).

thf(f166,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_alice' @ mactual @ Y0 )
           => ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#b_bob' @ Y0 @ Y1 )
                 => ~ ( bigcity @ portland @ Y1 ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f165]) ).

thf(f165,plain,
    ( ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_alice' @ mactual @ Y0 )
         => ( !! @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#b_bob' @ Y0 @ Y1 )
               => ~ ( bigcity @ portland @ Y1 ) ) ) ) )
    = $true ),
    inference(beta_eta_normalization,[],[f96]) ).

thf(f96,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_alice'
        @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
              ( !! @ mworld
              @ ^ [Y3: mworld] :
                  ( ( mrel @ Y0 @ Y2 @ Y3 )
                 => ( Y1 @ Y3 ) ) )
          @ '#b_bob'
          @ ( ^ [Y0: mworld > $o,Y1: mworld] :
                ~ ( Y0 @ Y1 )
            @ ( bigcity @ portland ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f77,f87,f75,f75,f94]) ).

thf(f94,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f40]) ).

thf(f40,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f39]) ).

thf(f39,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/sandbox2/benchmark/theBenchmark.p',mnot_def) ).

thf(f75,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f29]) ).

thf(f29,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f28]) ).

thf(f28,plain,
    ( mbox
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    ( mbox
    = ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ X4 @ X2 @ X5 )
         => ( X0 @ X5 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).

thf(f87,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f30]) ).

thf(f30,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    ( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
    = mlocal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).

thf(f77,plain,
    ( ( mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f25]) ).

thf(f25,plain,
    ( ( mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f24]) ).

thf(f24,plain,
    mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ),
    inference(rectify,[],[f20]) ).

thf(f20,axiom,
    mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

thf(f82,plain,
    ! [X0: mworld] :
      ( ( mrel @ '#b_bob' @ X0 @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f38]) ).

thf(f38,plain,
    ! [X0: mworld] :
      ( ( mrel @ '#b_bob' @ X0 @ X0 )
      = $true ),
    inference(fool_elimination,[],[f37]) ).

thf(f37,plain,
    ! [X0: mworld] : ( mrel @ '#b_bob' @ X0 @ X0 ),
    inference(rectify,[],[f15]) ).

thf(f15,axiom,
    ! [X2: mworld] : ( mrel @ '#b_bob' @ X2 @ X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#b_bob_reflexive') ).

thf(f85,plain,
    ! [X0: mworld] :
      ( ( mrel @ '#b_alice' @ X0 @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f64]) ).

thf(f64,plain,
    ! [X0: mworld] :
      ( ( mrel @ '#b_alice' @ X0 @ X0 )
      = $true ),
    inference(fool_elimination,[],[f63]) ).

thf(f63,plain,
    ! [X0: mworld] : ( mrel @ '#b_alice' @ X0 @ X0 ),
    inference(rectify,[],[f13]) ).

thf(f13,axiom,
    ! [X2: mworld] : ( mrel @ '#b_alice' @ X2 @ X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#b_alice_reflexive') ).

thf(f176,plain,
    ( $true
    = ( bigcity @ portland @ mactual ) ),
    inference(trivial_inequality_removal,[],[f173]) ).

thf(f173,plain,
    ( ( $true = $false )
    | ( $true
      = ( bigcity @ portland @ mactual ) ) ),
    inference(superposition,[],[f164,f85]) ).

thf(f164,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_alice' @ mactual @ X1 )
        = $false )
      | ( ( bigcity @ portland @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f163]) ).

thf(f163,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_alice' @ mactual @ X1 )
       => ( bigcity @ portland @ X1 ) ) ),
    inference(beta_eta_normalization,[],[f162]) ).

thf(f162,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_alice' @ mactual @ Y0 )
           => ( bigcity @ portland @ Y0 ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f161]) ).

thf(f161,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_alice' @ mactual @ Y0 )
         => ( bigcity @ portland @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f99]) ).

thf(f99,plain,
    ( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_alice'
        @ ( bigcity @ portland ) ) )
    = $true ),
    inference(definition_unfolding,[],[f91,f87,f75]) ).

thf(f91,plain,
    ( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
    = $true ),
    inference(cnf_transformation,[],[f48]) ).

thf(f48,plain,
    ( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
    = $true ),
    inference(fool_elimination,[],[f47]) ).

thf(f47,plain,
    mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
    inference(rectify,[],[f19]) ).

thf(f19,axiom,
    mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NLP265^17 : TPTP v8.2.0. Released v8.1.0.
% 0.14/0.15  % 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
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 21:35:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_CAX_EQU_NAR problem
% 0.15/0.36  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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % (6381)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39  % (6380)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)
% 0.15/0.39  % (6378)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39  % (6375)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39  % (6377)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)
% 0.15/0.39  % (6376)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)
% 0.15/0.39  % (6378)Instruction limit reached!
% 0.15/0.39  % (6378)------------------------------
% 0.15/0.39  % (6378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (6378)Termination reason: Unknown
% 0.15/0.39  % (6378)Termination phase: shuffling
% 0.15/0.39  
% 0.15/0.39  % (6378)Memory used [KB]: 895
% 0.15/0.39  % (6378)Time elapsed: 0.004 s
% 0.15/0.39  % (6378)Instructions burned: 2 (million)
% 0.15/0.39  % (6378)------------------------------
% 0.15/0.39  % (6378)------------------------------
% 0.15/0.39  % (6381)Instruction limit reached!
% 0.15/0.39  % (6381)------------------------------
% 0.15/0.39  % (6381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (6381)Termination reason: Unknown
% 0.15/0.39  % (6381)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (6381)Memory used [KB]: 5628
% 0.15/0.39  % (6381)Time elapsed: 0.013 s
% 0.15/0.39  % (6381)Instructions burned: 18 (million)
% 0.15/0.39  % (6381)------------------------------
% 0.15/0.39  % (6381)------------------------------
% 0.15/0.39  % (6376)Instruction limit reached!
% 0.15/0.39  % (6376)------------------------------
% 0.15/0.39  % (6376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (6376)Termination reason: Unknown
% 0.15/0.39  % (6376)Termination phase: Property scanning
% 0.15/0.39  
% 0.15/0.39  % (6376)Memory used [KB]: 1023
% 0.15/0.39  % (6376)Time elapsed: 0.006 s
% 0.15/0.39  % (6376)Instructions burned: 4 (million)
% 0.15/0.39  % (6376)------------------------------
% 0.15/0.39  % (6376)------------------------------
% 0.15/0.39  % (6380)Refutation not found, incomplete strategy
% 0.15/0.39  % (6380)------------------------------
% 0.15/0.39  % (6380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (6380)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39  
% 0.15/0.39  
% 0.15/0.39  % (6380)Memory used [KB]: 5500
% 0.15/0.39  % (6380)Time elapsed: 0.007 s
% 0.15/0.39  % (6380)Instructions burned: 5 (million)
% 0.15/0.39  % (6380)------------------------------
% 0.15/0.39  % (6380)------------------------------
% 0.15/0.39  % (6379)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)
% 0.15/0.39  % (6379)Instruction limit reached!
% 0.15/0.39  % (6379)------------------------------
% 0.15/0.39  % (6379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (6379)Termination reason: Unknown
% 0.15/0.39  % (6379)Termination phase: shuffling
% 0.15/0.39  
% 0.15/0.39  % (6379)Memory used [KB]: 1023
% 0.15/0.39  % (6379)Time elapsed: 0.004 s
% 0.15/0.39  % (6379)Instructions burned: 2 (million)
% 0.15/0.39  % (6379)------------------------------
% 0.15/0.39  % (6379)------------------------------
% 0.15/0.40  % (6382)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40  % (6382)Instruction limit reached!
% 0.15/0.40  % (6382)------------------------------
% 0.15/0.40  % (6382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (6382)Termination reason: Unknown
% 0.15/0.40  % (6382)Termination phase: Property scanning
% 0.15/0.40  
% 0.15/0.40  % (6382)Memory used [KB]: 1023
% 0.15/0.40  % (6382)Time elapsed: 0.005 s
% 0.15/0.40  % (6382)Instructions burned: 4 (million)
% 0.15/0.40  % (6382)------------------------------
% 0.15/0.40  % (6382)------------------------------
% 0.15/0.41  % (6375)First to succeed.
% 0.15/0.41  % (6377)Also succeeded, but the first one will report.
% 0.15/0.41  % (6375)Refutation found. Thanks to Tanya!
% 0.15/0.41  % SZS status ContradictoryAxioms for theBenchmark
% 0.15/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41  % (6375)------------------------------
% 0.15/0.41  % (6375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41  % (6375)Termination reason: Refutation
% 0.15/0.41  
% 0.15/0.41  % (6375)Memory used [KB]: 5628
% 0.15/0.41  % (6375)Time elapsed: 0.022 s
% 0.15/0.41  % (6375)Instructions burned: 18 (million)
% 0.15/0.41  % (6375)------------------------------
% 0.15/0.41  % (6375)------------------------------
% 0.15/0.41  % (6371)Success in time 0.03 s
% 0.15/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------