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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NLP267^17 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:16:32 AM UTC 2026

% Result   : Theorem 0.12s 0.18s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   61 (  41 unt;   0 typ;   0 def)
%            Number of atoms       :  384 (  73 equ;   0 cnn)
%            Maximal formula atoms :   10 (   6 avg)
%            Number of connectives :  407 (   7   ~;  20   |;  15   &; 332   @)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  32 usr;  10 con; 0-4 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   83 (  71   ^;  12   !;   0   ?;  83   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    mworld: $tType ).

thf(type_def_6,type,
    mindex: $tType ).

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    mrel: mindex > mworld > mworld > $o ).

thf(func_def_1,type,
    '#b_u': mindex ).

thf(func_def_2,type,
    '#b_s': mindex ).

thf(func_def_3,type,
    mactual: mworld ).

thf(func_def_4,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_6,type,
    mnot: ( mworld > $o ) > mworld > $o ).

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

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

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

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

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

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

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

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

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

thf(func_def_21,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_22,type,
    vIMP: $o > $o > $o ).

thf(func_def_23,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_24,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_25,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_26,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_27,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_28,type,
    vIFF: $o > $o > $o ).

thf(func_def_29,type,
    vOR: $o > $o > $o ).

thf(func_def_32,type,
    vAND: $o > $o > $o ).

thf(func_def_33,type,
    vNOT: $o > $o ).

thf(func_def_34,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_35,type,
    sK0: mworld ).

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

thf(f3,axiom,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).

thf(f5,axiom,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).

thf(f7,axiom,
    ( mbox
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).

thf(f14,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

thf(f19,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

thf(f20,conjecture,
    mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

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

thf(f22,plain,
    ( mbox
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f23,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f22]) ).

thf(f30,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f31,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f30]) ).

thf(f36,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f37,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f36]) ).

thf(f38,plain,
    ~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
    inference(rectify,[],[f21]) ).

thf(f39,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(fool_elimination,[],[f38]) ).

thf(f40,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f55,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    inference(rectify,[],[f14]) ).

thf(f56,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f55]) ).

thf(f57,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    inference(rectify,[],[f19]) ).

thf(f58,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f57]) ).

thf(f61,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(flattening,[],[f39]) ).

thf(f70,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f71,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f31]) ).

thf(f72,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(cnf_transformation,[],[f61]) ).

thf(f81,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f37]) ).

thf(f82,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f56]) ).

thf(f84,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f58]) ).

thf(f85,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f40]) ).

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_s'
        @ ( price @ seventy ) ) )
   != $true ),
    inference(definition_unfolding,[],[f72,f85,f70]) ).

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 ) )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y0 @ Y2 )
                & ( Y1 @ Y2 ) )
            @ ( dest @ paris )
            @ ( class @ second ) )
          @ ( price @ seventy ) ) ) ) ),
    inference(definition_unfolding,[],[f82,f85,f70,f81,f71]) ).

thf(f95,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,f85,f70,f71]) ).

thf(f98,plain,
    ( $true
   != ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f91]) ).

thf(f99,plain,
    ( ( ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) )
      @ sK0 )
    = $false ),
    inference(sigma_proxy_clausification,[],[f98]) ).

thf(f100,plain,
    ( $false
    = ( ( mrel @ '#b_s' @ mactual @ sK0 )
     => ( price @ seventy @ sK0 ) ) ),
    inference(beta-eta_normalization,[],[f99]) ).

thf(f101,plain,
    ( ( price @ seventy @ sK0 )
    = $false ),
    inference(imp_proxy_clausification,[],[f100]) ).

thf(f102,plain,
    ( $true
    = ( mrel @ '#b_s' @ mactual @ sK0 ) ),
    inference(imp_proxy_clausification,[],[f100]) ).

thf(f109,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( dest @ paris @ Y0 )
            & ( class @ second @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f95]) ).

thf(f110,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_s' @ mactual @ Y0 )
           => ( ( dest @ paris @ Y0 )
              & ( class @ second @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f109]) ).

thf(f111,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_s' @ mactual @ X1 )
       => ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f110]) ).

thf(f112,plain,
    ! [X1: mworld] :
      ( ( ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) )
        = $true )
      | ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f111]) ).

thf(f113,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( class @ second @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f112]) ).

thf(f114,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( dest @ paris @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f112]) ).

thf(f127,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( ( dest @ paris @ Y0 )
              & ( class @ second @ Y0 ) )
           => ( price @ seventy @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f94]) ).

thf(f128,plain,
    ! [X1: mworld] :
      ( ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_s' @ mactual @ Y0 )
           => ( ( ( dest @ paris @ Y0 )
                & ( class @ second @ Y0 ) )
             => ( price @ seventy @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f127]) ).

thf(f129,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_s' @ mactual @ X1 )
       => ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f128]) ).

thf(f130,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $true
        = ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f129]) ).

thf(f131,plain,
    ! [X1: mworld] :
      ( ( ( price @ seventy @ X1 )
        = $true )
      | ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f130]) ).

thf(f132,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ '#b_s' @ mactual @ X1 )
        = $false )
      | ( $false
        = ( class @ second @ X1 ) )
      | ( ( price @ seventy @ X1 )
        = $true )
      | ( $false
        = ( dest @ paris @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f131]) ).

thf(f147,plain,
    ( ( $true
      = ( class @ second @ sK0 ) )
    | ( $true = $false ) ),
    inference(constrained_superposition,[],[f102,f113]) ).

thf(f150,plain,
    ( $true
    = ( class @ second @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f147]) ).

thf(f153,plain,
    ( ( $true = $false )
    | ( $true
      = ( dest @ paris @ sK0 ) ) ),
    inference(constrained_superposition,[],[f114,f102]) ).

thf(f157,plain,
    ( $true
    = ( dest @ paris @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f153]) ).

thf(f211,plain,
    ( ( ( price @ seventy @ sK0 )
      = $true )
    | ( $false
      = ( dest @ paris @ sK0 ) )
    | ( $false
      = ( class @ second @ sK0 ) )
    | ( $true = $false ) ),
    inference(constrained_superposition,[],[f132,f102]) ).

thf(f216,plain,
    ( ( $false
      = ( dest @ paris @ sK0 ) )
    | ( $false
      = ( class @ second @ sK0 ) )
    | ( ( price @ seventy @ sK0 )
      = $true ) ),
    inference(trivial_inequality_removal,[],[f211]) ).

thf(f221,plain,
    ( ( $false
      = ( class @ second @ sK0 ) )
    | ( ( price @ seventy @ sK0 )
      = $true )
    | ( $true = $false ) ),
    inference(forward_demodulation,[],[f216,f157]) ).

thf(f222,plain,
    ( ( ( price @ seventy @ sK0 )
      = $true )
    | ( $false
      = ( class @ second @ sK0 ) ) ),
    inference(trivial_inequality_removal,[],[f221]) ).

thf(f229,plain,
    ( ( $false
      = ( class @ second @ sK0 ) )
    | ( $true = $false ) ),
    inference(forward_demodulation,[],[f222,f101]) ).

thf(f230,plain,
    ( $false
    = ( class @ second @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f229]) ).

thf(f238,plain,
    $true = $false,
    inference(forward_demodulation,[],[f230,f150]) ).

thf(f239,plain,
    $false,
    inference(trivial_inequality_removal,[],[f238]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NLP267^17 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Tue Sep 29 11:47:49 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.13  Running higher-order theorem proving
% 0.12/0.14  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.18  % (4184694)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.12/0.18  % (4184699)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=341222118:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.12/0.18  % (4184700)lrs+10_16_si=on:nwc=1.5:random_seed=263955877:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.12/0.18  % (4184701)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3216823562:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.12/0.18  % (4184701)Refutation not found, incomplete strategy
% 0.12/0.18  % (4184701)------------------------------
% 0.12/0.18  % (4184701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.18  % (4184701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.18  % (4184701)CaDiCaL version: 2.1.3
% 0.12/0.18  % (4184701)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.18  % (4184701)Time elapsed: 0.003 s
% 0.12/0.18  % (4184701)Peak memory usage: 12 MB
% 0.12/0.18  % (4184701)Instructions burned: 9 (million)
% 0.12/0.18  % (4184701)------------------------------
% 0.12/0.18  % (4184701)------------------------------
% 0.12/0.18  % (4184699) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4184694-4184699"...
% 0.12/0.18  % (4184700) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4184694-4184700"...
% 0.12/0.18  % (4184699)...printing done.
% 0.12/0.18  % (4184700)...printing done.
% 0.12/0.18  % (4184699)Refutation found. Thanks to Tanya!
% 0.12/0.18  % SZS status Theorem for theBenchmark
% 0.12/0.18  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.19  % (4184699)------------------------------
% 0.12/0.19  % (4184699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.19  % (4184699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.19  % (4184699)CaDiCaL version: 2.1.3
% 0.12/0.19  % (4184699)Termination reason: Refutation
% 0.12/0.19  % (4184699)Time elapsed: 0.005 s
% 0.12/0.19  % (4184699)Peak memory usage: 12 MB
% 0.12/0.19  % (4184699)Instructions burned: 16 (million)
% 0.12/0.19  % (4184694)Success in time 0.038 s
% 0.12/0.19  % Vampire exiting
%------------------------------------------------------------------------------