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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU612^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 08:30:19 AM UTC 2026

% Result   : Theorem 0.20s 0.27s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   55 (  37 unt;   0 typ;   0 def)
%            Number of atoms       :  390 (  86 equ;   0 cnn)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives :  576 (  41   ~;  20   |;  16   &; 415   @)
%                                         (   0 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  18 usr;   8 con; 0-4 aty)
%                                         (  30  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  129 (  60   ^;  60   !;   9   ?; 129   :)

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

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

thf(func_def_1,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(func_def_2,type,
    dsetconstrI: $o ).

thf(func_def_4,type,
    binunion: $i > $i > $i ).

thf(func_def_5,type,
    binunionIL: $o ).

thf(func_def_6,type,
    symdiff: $i > $i > $i ).

thf(func_def_7,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_8,type,
    vIMP: $o > $o > $o ).

thf(func_def_9,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_10,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_11,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_12,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_15,type,
    vOR: $o > $o > $o ).

thf(func_def_16,type,
    vNOT: $o > $o ).

thf(f1,axiom,
    ( dsetconstrI
    = ( ! [X1: $i > $o,X0: $i,X2: $i] :
          ( ( in @ X2 @ X0 )
         => ( ( X1 @ X2 )
           => ( in @ X2
              @ ( dsetconstr @ X0
                @ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).

thf(f2,axiom,
    ! [X1: $i,X0: $i,X2: $i] :
      ( ( ( in @ X2 @ X0 )
       => ( in @ X2 @ ( binunion @ X0 @ X1 ) ) )
      = binunionIL ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionIL) ).

thf(f3,axiom,
    ( ( ^ [X0: $i,X1: $i] :
          ( dsetconstr @ ( binunion @ X0 @ X1 )
          @ ^ [X2: $i] :
              ( ~ ( in @ X2 @ X1 )
              | ~ ( in @ X2 @ X0 ) ) ) )
    = symdiff ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symdiff) ).

thf(f4,conjecture,
    ( dsetconstrI
   => ( binunionIL
     => ! [X2: $i,X0: $i,X1: $i] :
          ( ( in @ X2 @ X0 )
         => ( ~ ( in @ X2 @ X1 )
           => ( in @ X2 @ ( symdiff @ X0 @ X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symdiffI1) ).

thf(f5,negated_conjecture,
    ~ ( dsetconstrI
     => ( binunionIL
       => ! [X2: $i,X0: $i,X1: $i] :
            ( ( in @ X2 @ X0 )
           => ( ~ ( in @ X2 @ X1 )
             => ( in @ X2 @ ( symdiff @ X0 @ X1 ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

thf(f6,plain,
    ( dsetconstrI
    = ( ! [X0: $i > $o,X1: $i,X2: $i] :
          ( ( in @ X2 @ X1 )
         => ( ( X0 @ X2 )
           => ( in @ X2
              @ ( dsetconstr @ X1
                @ ^ [X3: $i] : ( X0 @ X3 ) ) ) ) ) ) ),
    inference(rectify,[],[f1]) ).

thf(f7,plain,
    ( dsetconstrI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ ( $i > $o )
              @ ^ [Y2: $i > $o] :
                  ( ( in @ Y0 @ Y1 )
                 => ( ( Y2 @ Y0 )
                   => ( in @ Y0
                      @ ( dsetconstr @ Y1
                        @ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f8,plain,
    ~ ( dsetconstrI
     => ( binunionIL
       => ! [X0: $i,X1: $i,X2: $i] :
            ( ( in @ X0 @ X1 )
           => ( ~ ( in @ X0 @ X2 )
             => ( in @ X0 @ ( symdiff @ X1 @ X2 ) ) ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f9,plain,
    ~ ( ( dsetconstrI = $true )
     => ( ( binunionIL = $true )
       => ! [X0: $i,X1: $i,X2: $i] :
            ( ( $true
              = ( in @ X0 @ X1 ) )
           => ( ( $true
               != ( in @ X0 @ X2 ) )
             => ( $true
                = ( in @ X0 @ ( symdiff @ X1 @ X2 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f10,plain,
    ( ( ^ [X0: $i,X1: $i] :
          ( dsetconstr @ ( binunion @ X0 @ X1 )
          @ ^ [X2: $i] :
              ( ~ ( in @ X2 @ X1 )
              | ~ ( in @ X2 @ X0 ) ) ) )
    = symdiff ),
    inference(rectify,[],[f3]) ).

thf(f11,plain,
    ( symdiff
    = ( ^ [Y0: $i,Y1: $i] :
          ( dsetconstr @ ( binunion @ Y0 @ Y1 )
          @ ^ [Y2: $i] :
              ( ~ ( in @ Y2 @ Y0 )
              | ~ ( in @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( in @ X2 @ X1 )
       => ( in @ X2 @ ( binunion @ X1 @ X0 ) ) )
      = binunionIL ),
    inference(rectify,[],[f2]) ).

thf(f13,plain,
    ( binunionIL
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y1 )
                 => ( in @ Y0 @ ( binunion @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f12]) ).

thf(f14,plain,
    ~ ( ( dsetconstrI = $true )
     => ( ( binunionIL = $true )
       => ! [X2: $i,X1: $i,X0: $i] :
            ( ( $true
              = ( in @ X0 @ X1 ) )
           => ( ( $true
               != ( in @ X0 @ X2 ) )
             => ( $true
                = ( in @ X0 @ ( symdiff @ X1 @ X2 ) ) ) ) ) ) ),
    inference(flattening,[],[f9]) ).

thf(f15,plain,
    ( ? [X2: $i,X1: $i,X0: $i] :
        ( ( $true
         != ( in @ X0 @ ( symdiff @ X1 @ X2 ) ) )
        & ( $true
         != ( in @ X0 @ X2 ) )
        & ( $true
          = ( in @ X0 @ X1 ) ) )
    & ( binunionIL = $true )
    & ( dsetconstrI = $true ) ),
    inference(ennf_transformation,[],[f14]) ).

thf(f16,plain,
    ( ( dsetconstrI = $true )
    & ( binunionIL = $true )
    & ? [X2: $i,X1: $i,X0: $i] :
        ( ( $true
         != ( in @ X0 @ X2 ) )
        & ( $true
         != ( in @ X0 @ ( symdiff @ X1 @ X2 ) ) )
        & ( $true
          = ( in @ X0 @ X1 ) ) ) ),
    inference(flattening,[],[f15]) ).

thf(f17,plain,
    ( ( dsetconstrI = $true )
    & ( binunionIL = $true )
    & ? [X0: $i,X1: $i,X2: $i] :
        ( ( ( in @ X2 @ X0 )
         != $true )
        & ( $true
         != ( in @ X2 @ ( symdiff @ X1 @ X0 ) ) )
        & ( ( in @ X2 @ X1 )
          = $true ) ) ),
    inference(rectify,[],[f16]) ).

thf(f18,plain,
    ( ( dsetconstrI = $true )
    & ( binunionIL = $true )
    & ( $true
     != ( in @ sK2 @ sK0 ) )
    & ( $true
     != ( in @ sK2 @ ( symdiff @ sK1 @ sK0 ) ) )
    & ( $true
      = ( in @ sK2 @ sK1 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f17]) ).

thf(f19,plain,
    ( binunionIL
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y1 )
                 => ( in @ Y0 @ ( binunion @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f20,plain,
    ( dsetconstrI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ ( $i > $o )
              @ ^ [Y2: $i > $o] :
                  ( ( in @ Y0 @ Y1 )
                 => ( ( Y2 @ Y0 )
                   => ( in @ Y0
                      @ ( dsetconstr @ Y1
                        @ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f21,plain,
    ( symdiff
    = ( ^ [Y0: $i,Y1: $i] :
          ( dsetconstr @ ( binunion @ Y0 @ Y1 )
          @ ^ [Y2: $i] :
              ( ~ ( in @ Y2 @ Y0 )
              | ~ ( in @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f22,plain,
    ( $true
    = ( in @ sK2 @ sK1 ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f23,plain,
    ( $true
   != ( in @ sK2 @ ( symdiff @ sK1 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f24,plain,
    ( $true
   != ( in @ sK2 @ sK0 ) ),
    inference(cnf_transformation,[],[f18]) ).

thf(f25,plain,
    binunionIL = $true,
    inference(cnf_transformation,[],[f18]) ).

thf(f26,plain,
    dsetconstrI = $true,
    inference(cnf_transformation,[],[f18]) ).

thf(f29,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y1 )
                 => ( in @ Y0 @ ( binunion @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f19,f25]) ).

thf(f30,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ ( $i > $o )
              @ ^ [Y2: $i > $o] :
                  ( ( in @ Y0 @ Y1 )
                 => ( ( Y2 @ Y0 )
                   => ( in @ Y0
                      @ ( dsetconstr @ Y1
                        @ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f20,f26]) ).

thf(f31,plain,
    ( $true
   != ( in @ sK2
      @ ( ^ [Y0: $i,Y1: $i] :
            ( dsetconstr @ ( binunion @ Y0 @ Y1 )
            @ ^ [Y2: $i] :
                ( ~ ( in @ Y2 @ Y0 )
                | ~ ( in @ Y2 @ Y1 ) ) )
        @ sK1
        @ sK0 ) ) ),
    inference(definition_unfolding,[],[f23,f21]) ).

thf(f32,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ ( $i > $o )
                @ ^ [Y2: $i > $o] :
                    ( ( in @ Y0 @ Y1 )
                   => ( ( Y2 @ Y0 )
                     => ( in @ Y0
                        @ ( dsetconstr @ Y1
                          @ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f30]) ).

thf(f33,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ ( $i > $o )
            @ ^ [Y1: $i > $o] :
                ( ( in @ X1 @ Y0 )
               => ( ( Y1 @ X1 )
                 => ( in @ X1 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f32]) ).

thf(f34,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ ( $i > $o )
            @ ^ [Y1: $i > $o] :
                ( ( in @ X1 @ Y0 )
               => ( ( Y1 @ X1 )
                 => ( in @ X1 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f33]) ).

thf(f35,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( !! @ ( $i > $o )
        @ ^ [Y0: $i > $o] :
            ( ( in @ X1 @ X2 )
           => ( ( Y0 @ X1 )
             => ( in @ X1 @ ( dsetconstr @ X2 @ Y0 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f34]) ).

thf(f36,plain,
    ! [X2: $i,X3: $i > $o,X1: $i] :
      ( $true
      = ( ^ [Y0: $i > $o] :
            ( ( in @ X1 @ X2 )
           => ( ( Y0 @ X1 )
             => ( in @ X1 @ ( dsetconstr @ X2 @ Y0 ) ) ) )
        @ X3 ) ),
    inference(pi_proxy_clausification,[],[f35]) ).

thf(f37,plain,
    ! [X2: $i,X3: $i > $o,X1: $i] :
      ( $true
      = ( ( in @ X1 @ X2 )
       => ( ( X3 @ X1 )
         => ( in @ X1 @ ( dsetconstr @ X2 @ X3 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f36]) ).

thf(f38,plain,
    ! [X2: $i,X3: $i > $o,X1: $i] :
      ( ( $false
        = ( in @ X1 @ X2 ) )
      | ( ( ( X3 @ X1 )
         => ( in @ X1 @ ( dsetconstr @ X2 @ X3 ) ) )
        = $true ) ),
    inference(imp_proxy_clausification,[],[f37]) ).

thf(f39,plain,
    ! [X2: $i,X3: $i > $o,X1: $i] :
      ( ( $true
        = ( in @ X1 @ ( dsetconstr @ X2 @ X3 ) ) )
      | ( $false
        = ( in @ X1 @ X2 ) )
      | ( ( X3 @ X1 )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f38]) ).

thf(f40,plain,
    ( $true
   != ( in @ sK2
      @ ( dsetconstr @ ( binunion @ sK1 @ sK0 )
        @ ^ [Y0: $i] :
            ( ~ ( in @ Y0 @ sK1 )
            | ~ ( in @ Y0 @ sK0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f31]) ).

thf(f41,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( in @ Y0 @ Y1 )
                   => ( in @ Y0 @ ( binunion @ Y1 @ Y2 ) ) ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f29]) ).

thf(f42,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ Y0 )
               => ( in @ X1 @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f41]) ).

thf(f43,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ Y0 )
               => ( in @ X1 @ ( binunion @ Y0 @ Y1 ) ) ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f42]) ).

thf(f44,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( in @ X1 @ X2 )
           => ( in @ X1 @ ( binunion @ X2 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f43]) ).

thf(f45,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( in @ X1 @ X2 )
           => ( in @ X1 @ ( binunion @ X2 @ Y0 ) ) )
        @ X3 ) ),
    inference(pi_proxy_clausification,[],[f44]) ).

thf(f46,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( $true
      = ( ( in @ X1 @ X2 )
       => ( in @ X1 @ ( binunion @ X2 @ X3 ) ) ) ),
    inference(beta-eta_normalization,[],[f45]) ).

thf(f47,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( $true
        = ( in @ X1 @ ( binunion @ X2 @ X3 ) ) )
      | ( $false
        = ( in @ X1 @ X2 ) ) ),
    inference(imp_proxy_clausification,[],[f46]) ).

thf(f52,plain,
    ( ( $true != $true )
    | ( ( in @ sK2 @ ( binunion @ sK1 @ sK0 ) )
      = $false )
    | ( ( ^ [Y0: $i] :
            ( ~ ( in @ Y0 @ sK1 )
            | ~ ( in @ Y0 @ sK0 ) )
        @ sK2 )
      = $false ) ),
    inference(constrained_superposition,[],[f40,f39]) ).

thf(f53,plain,
    ( ( ( ^ [Y0: $i] :
            ( ~ ( in @ Y0 @ sK1 )
            | ~ ( in @ Y0 @ sK0 ) )
        @ sK2 )
      = $false )
    | ( ( in @ sK2 @ ( binunion @ sK1 @ sK0 ) )
      = $false ) ),
    inference(trivial_inequality_removal,[],[f52]) ).

thf(f54,plain,
    ( ( ( ~ ( in @ sK2 @ sK1 )
        | ~ ( in @ sK2 @ sK0 ) )
      = $false )
    | ( ( in @ sK2 @ ( binunion @ sK1 @ sK0 ) )
      = $false ) ),
    inference(beta-eta_normalization,[],[f53]) ).

thf(f55,plain,
    ( ( ( ~ ( in @ sK2 @ sK0 ) )
      = $false )
    | ( ( in @ sK2 @ ( binunion @ sK1 @ sK0 ) )
      = $false ) ),
    inference(or_proxy_clausification,[],[f54]) ).

thf(f58,plain,
    ( ( $true
      = ( in @ sK2 @ sK0 ) )
    | ( ( in @ sK2 @ ( binunion @ sK1 @ sK0 ) )
      = $false ) ),
    inference(not_proxy_clausification,[],[f55]) ).

thf(f59,plain,
    ( ( in @ sK2 @ ( binunion @ sK1 @ sK0 ) )
    = $false ),
    inference(forward_subsumption_resolution,[],[f58,f24]) ).

thf(f61,plain,
    ( ( ( in @ sK2 @ sK1 )
      = $false )
    | ( $true = $false ) ),
    inference(constrained_superposition,[],[f47,f59]) ).

thf(f62,plain,
    ( ( in @ sK2 @ sK1 )
    = $false ),
    inference(trivial_inequality_removal,[],[f61]) ).

thf(f64,plain,
    $true = $false,
    inference(constrained_superposition,[],[f62,f22]) ).

thf(f66,plain,
    $false,
    inference(trivial_inequality_removal,[],[f64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU612^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n001.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Tue Sep 29 14:04:00 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running higher-order theorem proving
% 0.09/0.23  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
% 0.20/0.27  % (1286515)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27  % (1286521)lrs+10_16_si=on:nwc=1.5:random_seed=1079671893:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.27  % (1286521) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1286515-1286521"...
% 0.20/0.27  % (1286521)...printing done.
% 0.20/0.27  % (1286521)Refutation found. Thanks to Tanya!
% 0.20/0.27  % SZS status Theorem for theBenchmark
% 0.20/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27  % (1286521)------------------------------
% 0.20/0.27  % (1286521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27  % (1286521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27  % (1286521)CaDiCaL version: 2.1.3
% 0.20/0.27  % (1286521)Termination reason: Refutation
% 0.20/0.27  % (1286521)Time elapsed: 0.003 s
% 0.20/0.27  % (1286521)Peak memory usage: 12 MB
% 0.20/0.27  % (1286521)Instructions burned: 7 (million)
% 0.20/0.27  % (1286515)Success in time 0.032 s
% 0.20/0.27  % Vampire exiting
%------------------------------------------------------------------------------