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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU454^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 08:29:42 AM UTC 2026

% Result   : Theorem 0.10s 0.28s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   45 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  415 ( 136 equ;   0 cnn)
%            Maximal formula atoms :    5 (   9 avg)
%            Number of connectives :  242 (  17   ~;  83   |;   0   &; 138   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   50 (  50   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   50 (  46 usr;   5 con; 0-4 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   53 (  52   ^;   1   !;   0   ?;  53   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(func_def_2,type,
    inv: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_3,type,
    idem: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).

thf(func_def_4,type,
    infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).

thf(func_def_5,type,
    mono: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).

thf(func_def_6,type,
    refl: ( $i > $i > $o ) > $o ).

thf(func_def_7,type,
    irrefl: ( $i > $i > $o ) > $o ).

thf(func_def_8,type,
    rc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_9,type,
    symm: ( $i > $i > $o ) > $o ).

thf(func_def_10,type,
    antisymm: ( $i > $i > $o ) > $o ).

thf(func_def_11,type,
    asymm: ( $i > $i > $o ) > $o ).

thf(func_def_12,type,
    sc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_13,type,
    trans: ( $i > $i > $o ) > $o ).

thf(func_def_14,type,
    tc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_15,type,
    trc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_16,type,
    trsc: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_17,type,
    po: ( $i > $i > $o ) > $o ).

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

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

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

thf(func_def_21,type,
    ind: ( $i > $i > $o ) > $o ).

thf(func_def_22,type,
    innf: ( $i > $i > $o ) > $i > $o ).

thf(func_def_23,type,
    nfof: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_24,type,
    norm: ( $i > $i > $o ) > $o ).

thf(func_def_25,type,
    join: ( $i > $i > $o ) > $i > $i > $o ).

thf(func_def_26,type,
    lconfl: ( $i > $i > $o ) > $o ).

thf(func_def_27,type,
    sconfl: ( $i > $i > $o ) > $o ).

thf(func_def_28,type,
    confl: ( $i > $i > $o ) > $o ).

thf(func_def_29,type,
    cr: ( $i > $i > $o ) > $o ).

thf(func_def_30,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_31,type,
    vIMP: $o > $o > $o ).

thf(func_def_32,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_33,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_34,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_35,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_36,type,
    vAND: $o > $o > $o ).

thf(func_def_37,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_38,type,
    vNOT: $o > $o ).

thf(func_def_39,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_40,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_43,type,
    vOR: $o > $o > $o ).

thf(func_def_44,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_45,type,
    sK0: $i > $i > $o ).

thf(f3,axiom,
    ( ( ^ [X0: ( $i > $i > $o ) > $i > $i > $o] :
        ! [X1: $i > $i > $o] :
          ( ( X0 @ ( X0 @ X1 ) )
          = ( X0 @ X1 ) ) )
    = idem ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',idempotent) ).

thf(f8,axiom,
    ( rc
    = ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
          ( ( X1 = X2 )
          | ( X0 @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',reflexive_closure) ).

thf(f30,conjecture,
    idem @ rc,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexive_closure_op_is_idempotent) ).

thf(f31,negated_conjecture,
    ~ ( idem @ rc ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

thf(f55,plain,
    ~ ( idem @ rc ),
    inference(rectify,[],[f31]) ).

thf(f56,plain,
    ( ( idem @ rc )
   != $true ),
    inference(fool_elimination,[],[f55]) ).

thf(f73,plain,
    ( idem
    = ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
          ( !! @ ( $i > $i > $o )
          @ ^ [Y1: $i > $i > $o] :
              ( ( Y0 @ Y1 )
              = ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f80,plain,
    ( rc
    = ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
          ( ( X1 = X2 )
          | ( X0 @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f81,plain,
    ( rc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y1 = Y2 ) ) ) ),
    inference(fool_elimination,[],[f80]) ).

thf(f88,plain,
    ( ( idem @ rc )
   != $true ),
    inference(flattening,[],[f56]) ).

thf(f95,plain,
    ( ( idem @ rc )
   != $true ),
    inference(cnf_transformation,[],[f88]) ).

thf(f100,plain,
    ( rc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y1 = Y2 ) ) ) ),
    inference(cnf_transformation,[],[f81]) ).

thf(f114,plain,
    ( idem
    = ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
          ( !! @ ( $i > $i > $o )
          @ ^ [Y1: $i > $i > $o] :
              ( ( Y0 @ Y1 )
              = ( Y0 @ ( Y0 @ Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f73]) ).

thf(f136,plain,
    ( $true
   != ( ^ [Y0: ( $i > $i > $o ) > $i > $i > $o] :
          ( !! @ ( $i > $i > $o )
          @ ^ [Y1: $i > $i > $o] :
              ( ( Y0 @ Y1 )
              = ( Y0 @ ( Y0 @ Y1 ) ) ) )
      @ ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y1 = Y2 ) ) ) ),
    inference(definition_unfolding,[],[f95,f114,f100]) ).

thf(f137,plain,
    ( $true
   != ( !! @ ( $i > $i > $o )
      @ ^ [Y0: $i > $i > $o] :
          ( ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y1 = Y2 ) ) )
          = ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y1 = Y2 )
                | ( Y1 = Y2 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f136]) ).

thf(f138,plain,
    ( $false
    = ( ^ [Y0: $i > $i > $o] :
          ( ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y1 = Y2 ) ) )
          = ( ^ [Y1: $i,Y2: $i] :
                ( ( Y0 @ Y1 @ Y2 )
                | ( Y1 = Y2 )
                | ( Y1 = Y2 ) ) ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f137]) ).

thf(f139,plain,
    ( $false
    = ( ( ^ [Y0: $i,Y1: $i] :
            ( ( sK0 @ Y0 @ Y1 )
            | ( Y0 = Y1 ) ) )
      = ( ^ [Y0: $i,Y1: $i] :
            ( ( sK0 @ Y0 @ Y1 )
            | ( Y0 = Y1 )
            | ( Y0 = Y1 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f138]) ).

thf(f140,plain,
    ( ( ^ [Y0: $i,Y1: $i] :
          ( ( sK0 @ Y0 @ Y1 )
          | ( Y0 = Y1 ) ) )
   != ( ^ [Y0: $i,Y1: $i] :
          ( ( sK0 @ Y0 @ Y1 )
          | ( Y0 = Y1 )
          | ( Y0 = Y1 ) ) ) ),
    inference(equality_proxy_clausification,[],[f139]) ).

thf(f141,plain,
    ( ( ^ [Y0: $i,Y1: $i] :
          ( ( sK0 @ Y0 @ Y1 )
          | ( Y0 = Y1 )
          | ( Y0 = Y1 ) )
      @ sK1 )
   != ( ^ [Y0: $i,Y1: $i] :
          ( ( sK0 @ Y0 @ Y1 )
          | ( Y0 = Y1 ) )
      @ sK1 ) ),
    inference(negative_extensionality,[],[f140]) ).

thf(f142,plain,
    ( ( ^ [Y0: $i] :
          ( ( sK0 @ sK1 @ Y0 )
          | ( sK1 = Y0 ) ) )
   != ( ^ [Y0: $i] :
          ( ( sK0 @ sK1 @ Y0 )
          | ( sK1 = Y0 )
          | ( sK1 = Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f141]) ).

thf(f143,plain,
    ( ( ^ [Y0: $i] :
          ( ( sK0 @ sK1 @ Y0 )
          | ( sK1 = Y0 )
          | ( sK1 = Y0 ) )
      @ sK2 )
   != ( ^ [Y0: $i] :
          ( ( sK0 @ sK1 @ Y0 )
          | ( sK1 = Y0 ) )
      @ sK2 ) ),
    inference(negative_extensionality,[],[f142]) ).

thf(f144,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ( sK0 @ sK1 @ Y0 )
            | ( sK1 = Y0 ) )
        @ sK2 ) )
    | ( $true
      = ( ^ [Y0: $i] :
            ( ( sK0 @ sK1 @ Y0 )
            | ( sK1 = Y0 )
            | ( sK1 = Y0 ) )
        @ sK2 ) ) ),
    inference(xor_proxy_clausification,[],[f143]) ).

thf(f145,plain,
    ( ( ( ^ [Y0: $i] :
            ( ( sK0 @ sK1 @ Y0 )
            | ( sK1 = Y0 )
            | ( sK1 = Y0 ) )
        @ sK2 )
      = $false )
    | ( $false
      = ( ^ [Y0: $i] :
            ( ( sK0 @ sK1 @ Y0 )
            | ( sK1 = Y0 ) )
        @ sK2 ) ) ),
    inference(xor_proxy_clausification,[],[f143]) ).

thf(f146,plain,
    ( ( $false
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 ) ) )
    | ( ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 )
        | ( sK1 = sK2 ) )
      = $false ) ),
    inference(beta-eta_normalization,[],[f145]) ).

thf(f147,plain,
    ( ( $false
      = ( sK1 = sK2 ) )
    | ( ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 )
        | ( sK1 = sK2 ) )
      = $false ) ),
    inference(or_proxy_clausification,[],[f146]) ).

thf(f148,plain,
    ( ( ( sK0 @ sK1 @ sK2 )
      = $false )
    | ( ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 )
        | ( sK1 = sK2 ) )
      = $false ) ),
    inference(or_proxy_clausification,[],[f146]) ).

thf(f150,plain,
    ( ( ( sK0 @ sK1 @ sK2 )
      = $false )
    | ( $false
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 ) ) ) ),
    inference(or_proxy_clausification,[],[f148]) ).

thf(f152,plain,
    ( ( ( sK0 @ sK1 @ sK2 )
      = $false )
    | ( ( sK0 @ sK1 @ sK2 )
      = $false ) ),
    inference(or_proxy_clausification,[],[f150]) ).

thf(f153,plain,
    ( ( sK0 @ sK1 @ sK2 )
    = $false ),
    inference(duplicate_literal_removal,[],[f152]) ).

thf(f156,plain,
    ( ( sK1 != sK2 )
    | ( ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 )
        | ( sK1 = sK2 ) )
      = $false ) ),
    inference(equality_proxy_clausification,[],[f147]) ).

thf(f158,plain,
    ( ( sK1 != sK2 )
    | ( $false
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 ) ) ) ),
    inference(or_proxy_clausification,[],[f156]) ).

thf(f159,plain,
    ( ( $false
      = ( sK1 = sK2 ) )
    | ( sK1 != sK2 ) ),
    inference(or_proxy_clausification,[],[f158]) ).

thf(f161,plain,
    ( ( sK1 != sK2 )
    | ( sK1 != sK2 ) ),
    inference(equality_proxy_clausification,[],[f159]) ).

thf(f162,plain,
    sK1 != sK2,
    inference(duplicate_literal_removal,[],[f161]) ).

thf(f165,plain,
    ( ( $true
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 ) ) )
    | ( $true
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 )
        | ( sK1 = sK2 ) ) ) ),
    inference(beta-eta_normalization,[],[f144]) ).

thf(f166,plain,
    ( ( $true
      = ( sK1 = sK2 ) )
    | ( $true
      = ( sK0 @ sK1 @ sK2 ) )
    | ( $true
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 )
        | ( sK1 = sK2 ) ) ) ),
    inference(or_proxy_clausification,[],[f165]) ).

thf(f167,plain,
    ( ( $true
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 )
        | ( sK1 = sK2 ) ) )
    | ( sK1 = sK2 )
    | ( $true
      = ( sK0 @ sK1 @ sK2 ) ) ),
    inference(equality_proxy_clausification,[],[f166]) ).

thf(f168,plain,
    ( ( $true
      = ( sK1 = sK2 ) )
    | ( $true
      = ( sK0 @ sK1 @ sK2 ) )
    | ( $true
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 ) ) )
    | ( sK1 = sK2 ) ),
    inference(or_proxy_clausification,[],[f167]) ).

thf(f169,plain,
    ( ( sK1 = sK2 )
    | ( $true
      = ( sK0 @ sK1 @ sK2 ) )
    | ( $true
      = ( ( sK0 @ sK1 @ sK2 )
        | ( sK1 = sK2 ) ) )
    | ( sK1 = sK2 ) ),
    inference(equality_proxy_clausification,[],[f168]) ).

thf(f170,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 ) )
    | ( sK1 = sK2 )
    | ( $true
      = ( sK0 @ sK1 @ sK2 ) )
    | ( $true
      = ( sK1 = sK2 ) )
    | ( sK1 = sK2 ) ),
    inference(or_proxy_clausification,[],[f169]) ).

thf(f171,plain,
    ( ( $true
      = ( sK0 @ sK1 @ sK2 ) )
    | ( sK1 = sK2 )
    | ( $true
      = ( sK0 @ sK1 @ sK2 ) )
    | ( sK1 = sK2 )
    | ( sK1 = sK2 ) ),
    inference(equality_proxy_clausification,[],[f170]) ).

thf(f172,plain,
    ( ( sK1 = sK2 )
    | ( $true
      = ( sK0 @ sK1 @ sK2 ) ) ),
    inference(duplicate_literal_removal,[],[f171]) ).

thf(f173,plain,
    ( $true
    = ( sK0 @ sK1 @ sK2 ) ),
    inference(forward_subsumption_resolution,[],[f172,f162]) ).

thf(f174,plain,
    $true = $false,
    inference(forward_demodulation,[],[f173,f153]) ).

thf(f175,plain,
    $false,
    inference(trivial_inequality_removal,[],[f174]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU454^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18  % Computer : n005.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Tue Sep 29 13:41:16 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  Running higher-order theorem proving
% 0.10/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.28  % (1683146)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.10/0.28  % (1683161)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.10/0.28  % (1683161)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.10/0.28  % (1683156)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1672118973:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.10/0.28  % (1683158)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3420529199:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.10/0.28  % (1683155)lrs+10_16_si=on:nwc=1.5:random_seed=3507872380:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.10/0.28  % (1683161)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2550018041:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.10/0.28  % (1683156)Instruction limit reached! 
% 0.10/0.28  % (1683156)------------------------------
% 0.10/0.28  % (1683156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.28  % (1683156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.28  % (1683156)CaDiCaL version: 2.1.3
% 0.10/0.28  % (1683156)Termination reason: Instruction limit
% 0.10/0.28  % (1683156)Termination phase: Property scanning
% 0.10/0.28  % (1683156)Time elapsed: 0.002 s
% 0.10/0.28  % (1683156)Peak memory usage: 10 MB
% 0.10/0.28  % (1683156)Instructions burned: 4 (million)
% 0.10/0.28  % (1683159)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1487334785:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.10/0.28  % (1683157)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=977950162:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.10/0.28  % (1683155) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1683146-1683155"...
% 0.10/0.28  % (1683161) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1683146-1683161"...
% 0.10/0.28  % (1683159) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1683146-1683159"...
% 0.10/0.28  % (1683155)...printing done.
% 0.10/0.28  % (1683161)...printing done.
% 0.10/0.28  % (1683159)...printing done.
% 0.10/0.28  % (1683155)Refutation found. Thanks to Tanya!
% 0.10/0.28  % SZS status Theorem for theBenchmark
% 0.10/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.29  % (1683155)------------------------------
% 0.10/0.29  % (1683155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.29  % (1683155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.29  % (1683155)CaDiCaL version: 2.1.3
% 0.10/0.29  % (1683155)Termination reason: Refutation
% 0.10/0.29  % (1683155)Time elapsed: 0.008 s
% 0.10/0.29  % (1683155)Peak memory usage: 12 MB
% 0.10/0.29  % (1683155)Instructions burned: 12 (million)
% 0.10/0.29  % (1683146)Success in time 0.048 s
% 0.10/0.29  % Vampire exiting
%------------------------------------------------------------------------------