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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU702^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:30:51 AM UTC 2026

% Result   : Theorem 0.27s 0.37s
% Output   : Refutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   63 (  18 unt;   0 typ;   6 def)
%            Number of atoms       :  514 ( 148 equ;   5 cnn)
%            Maximal formula atoms :    8 (   8 avg)
%            Number of connectives :  506 (  88   ~;  86   |;  51   &; 250   @)
%                                         (   9 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  23 usr;  16 con; 0-4 aty)
%            Number of variables   :   98 (   0 sgn  52   !;  18   ?;  98   :)

% 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_6,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_7,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

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

thf(func_def_9,type,
    vAND: $o > $o > $o ).

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

thf(func_def_11,type,
    vNOT: $o > $o ).

thf(func_def_13,type,
    sK1: $o ).

thf(func_def_18,type,
    sK6: $i > $o ).

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

thf(f2,conjecture,
    ( dsetconstrI
   => ! [X1: $o,X0: $i,X2: $i] :
        ( ( in @ X2 @ X0 )
       => ! [X3: $i] :
            ( ( in @ X3 @ X0 )
           => ( X1
             => ( in @ X2
                @ ( dsetconstr @ X0
                  @ ^ [X4: $i] :
                      ( ( X1
                        & ( X4 = X2 ) )
                      | ( ~ X1
                        & ( X4 = X3 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',iftrueProp1) ).

thf(f3,negated_conjecture,
    ~ ( dsetconstrI
     => ! [X1: $o,X0: $i,X2: $i] :
          ( ( in @ X2 @ X0 )
         => ! [X3: $i] :
              ( ( in @ X3 @ X0 )
             => ( X1
               => ( in @ X2
                  @ ( dsetconstr @ X0
                    @ ^ [X4: $i] :
                        ( ( X1
                          & ( X4 = X2 ) )
                        | ( ~ X1
                          & ( X4 = X3 ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

thf(f4,plain,
    ! [X0: $i,X1: $i,X2: $i > $o] :
      ( ( ( in @ X1 @ X0 )
       => ( ( X2 @ X1 )
         => ( in @ X1
            @ ( dsetconstr @ X0
              @ ^ [X3: $i] : ( X2 @ X3 ) ) ) ) )
      = dsetconstrI ),
    inference(rectify,[],[f1]) ).

thf(f5,plain,
    ( ! [X0: $i,X2: $i > $o,X1: $i] :
        ( ( ( in @ X1 @ X0 )
          = $true )
       => ( ( ( X2 @ X1 )
            = $true )
         => ( ( in @ X1
              @ ( dsetconstr @ X0
                @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
            = $true ) ) )
  <=> ( dsetconstrI = $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f6,plain,
    ~ ( dsetconstrI
     => ! [X0: $o,X1: $i,X2: $i] :
          ( ( in @ X2 @ X1 )
         => ! [X3: $i] :
              ( ( in @ X3 @ X1 )
             => ( X0
               => ( in @ X2
                  @ ( dsetconstr @ X1
                    @ ^ [X4: $i] :
                        ( ( X0
                          & ( X4 = X2 ) )
                        | ( ~ X0
                          & ( X4 = X3 ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f7,plain,
    ~ ( ( dsetconstrI = $true )
     => ! [X0: $o,X1: $i,X2: $i] :
          ( ( ( in @ X2 @ X1 )
            = $true )
         => ! [X3: $i] :
              ( ( ( in @ X3 @ X1 )
                = $true )
             => ( ( $true = X0 )
               => ( ( in @ X2
                    @ ( dsetconstr @ X1
                      @ ^ [Y0: $i] :
                          ( ( ( X3 = Y0 )
                            & ~ X0 )
                          | ( ( X2 = Y0 )
                            & X0 ) ) ) )
                  = $true ) ) ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f8,plain,
    ( ! [X0: $i,X2: $i > $o,X1: $i] :
        ( ( ( in @ X1
            @ ( dsetconstr @ X0
              @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
          = $true )
        | ( ( X2 @ X1 )
         != $true )
        | ( ( in @ X1 @ X0 )
         != $true ) )
  <=> ( dsetconstrI = $true ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f9,plain,
    ( ! [X1: $i,X0: $i,X2: $i > $o] :
        ( ( ( in @ X1
            @ ( dsetconstr @ X0
              @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
          = $true )
        | ( ( in @ X1 @ X0 )
         != $true )
        | ( ( X2 @ X1 )
         != $true ) )
  <=> ( dsetconstrI = $true ) ),
    inference(flattening,[],[f8]) ).

thf(f10,plain,
    ( ? [X0: $o,X1: $i,X2: $i] :
        ( ? [X3: $i] :
            ( ( ( in @ X2
                @ ( dsetconstr @ X1
                  @ ^ [Y0: $i] :
                      ( ( ( X3 = Y0 )
                        & ~ X0 )
                      | ( ( X2 = Y0 )
                        & X0 ) ) ) )
             != $true )
            & ( $true = X0 )
            & ( ( in @ X3 @ X1 )
              = $true ) )
        & ( ( in @ X2 @ X1 )
          = $true ) )
    & ( dsetconstrI = $true ) ),
    inference(ennf_transformation,[],[f7]) ).

thf(f11,plain,
    ( ? [X1: $i,X0: $o,X2: $i] :
        ( ? [X3: $i] :
            ( ( ( in @ X3 @ X1 )
              = $true )
            & ( ( in @ X2
                @ ( dsetconstr @ X1
                  @ ^ [Y0: $i] :
                      ( ( ( X3 = Y0 )
                        & ~ X0 )
                      | ( ( X2 = Y0 )
                        & X0 ) ) ) )
             != $true )
            & ( $true = X0 ) )
        & ( ( in @ X2 @ X1 )
          = $true ) )
    & ( dsetconstrI = $true ) ),
    inference(flattening,[],[f10]) ).

thf(f12,plain,
    ( ? [X0: $i,X1: $o,X2: $i] :
        ( ? [X3: $i] :
            ( ( ( in @ X3 @ X0 )
              = $true )
            & ( ( in @ X2
                @ ( dsetconstr @ X0
                  @ ^ [Y0: $i] :
                      ( ( ( X3 = Y0 )
                        & ~ X1 )
                      | ( ( X2 = Y0 )
                        & X1 ) ) ) )
             != $true )
            & ( $true = X1 ) )
        & ( ( in @ X2 @ X0 )
          = $true ) )
    & ( dsetconstrI = $true ) ),
    inference(rectify,[],[f11]) ).

thf(f13,plain,
    ( ( ( in @ sK3 @ sK0 )
      = $true )
    & ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] :
              ( ( ( sK3 = Y0 )
                & ~ sK1 )
              | ( ( sK2 = Y0 )
                & sK1 ) ) ) )
     != $true )
    & ( sK1 = $true )
    & ( $true
      = ( in @ sK2 @ sK0 ) )
    & ( dsetconstrI = $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f12]) ).

thf(f14,plain,
    ( ( ! [X1: $i,X0: $i,X2: $i > $o] :
          ( ( ( in @ X1
              @ ( dsetconstr @ X0
                @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
            = $true )
          | ( ( in @ X1 @ X0 )
           != $true )
          | ( ( X2 @ X1 )
           != $true ) )
      | ( dsetconstrI != $true ) )
    & ( ( dsetconstrI = $true )
      | ? [X1: $i,X0: $i,X2: $i > $o] :
          ( ( ( in @ X1
              @ ( dsetconstr @ X0
                @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
           != $true )
          & ( ( in @ X1 @ X0 )
            = $true )
          & ( ( X2 @ X1 )
            = $true ) ) ) ),
    inference(nnf_transformation,[],[f9]) ).

thf(f15,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i > $o] :
          ( ( ( in @ X0
              @ ( dsetconstr @ X1
                @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
            = $true )
          | ( ( in @ X0 @ X1 )
           != $true )
          | ( ( X2 @ X0 )
           != $true ) )
      | ( dsetconstrI != $true ) )
    & ( ( dsetconstrI = $true )
      | ? [X3: $i,X4: $i,X5: $i > $o] :
          ( ( ( in @ X3
              @ ( dsetconstr @ X4
                @ ^ [Y0: $i] : ( X5 @ Y0 ) ) )
           != $true )
          & ( ( in @ X3 @ X4 )
            = $true )
          & ( ( X5 @ X3 )
            = $true ) ) ) ),
    inference(rectify,[],[f14]) ).

thf(f16,plain,
    ( ( ! [X0: $i,X1: $i,X2: $i > $o] :
          ( ( ( in @ X0
              @ ( dsetconstr @ X1
                @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
            = $true )
          | ( ( in @ X0 @ X1 )
           != $true )
          | ( ( X2 @ X0 )
           != $true ) )
      | ( dsetconstrI != $true ) )
    & ( ( dsetconstrI = $true )
      | ( ( ( in @ sK4
            @ ( dsetconstr @ sK5
              @ ^ [Y0: $i] : ( sK6 @ Y0 ) ) )
         != $true )
        & ( ( in @ sK4 @ sK5 )
          = $true )
        & ( ( sK6 @ sK4 )
          = $true ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f15]) ).

thf(f17,plain,
    dsetconstrI = $true,
    inference(cnf_transformation,[],[f13]) ).

thf(f18,plain,
    ( $true
    = ( in @ sK2 @ sK0 ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f19,plain,
    sK1 = $true,
    inference(cnf_transformation,[],[f13]) ).

thf(f20,plain,
    ( ( in @ sK2
      @ ( dsetconstr @ sK0
        @ ^ [Y0: $i] :
            ( ( ( sK3 = Y0 )
              & ~ sK1 )
            | ( ( sK2 = Y0 )
              & sK1 ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f13]) ).

thf(f25,plain,
    ! [X2: $i > $o,X0: $i,X1: $i] :
      ( ( ( in @ X0
          @ ( dsetconstr @ X1
            @ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
        = $true )
      | ( dsetconstrI != $true )
      | ( ( in @ X0 @ X1 )
       != $true )
      | ( ( X2 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f27,plain,
    ! [X2: $i > $o,X0: $i,X1: $i] :
      ( ( ( in @ X0 @ X1 )
       != $true )
      | ( ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) )
        = $true )
      | ( ( X2 @ X0 )
       != $true )
      | ( dsetconstrI != $true ) ),
    inference(beta-eta_normalization,[],[f25]) ).

thf(f30,definition,
    ( spl7_1
  <=> ( dsetconstrI = $true ) ),
    introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).

thf(f34,definition,
    ( spl7_2
  <=> ! [X2: $i > $o,X0: $i,X1: $i] :
        ( ( ( in @ X0 @ X1 )
         != $true )
        | ( ( X2 @ X0 )
         != $true )
        | ( ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).

thf(f35,plain,
    ( ! [X2: $i > $o,X0: $i,X1: $i] :
        ( ( ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) )
          = $true )
        | ( ( X2 @ X0 )
         != $true )
        | ( ( in @ X0 @ X1 )
         != $true ) )
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f34]) ).

thf(f36,plain,
    ( ~ spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f27,f34,f30]) ).

thf(f38,definition,
    ( spl7_3
  <=> ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] :
              ( ( ( sK3 = Y0 )
                & ~ sK1 )
              | ( ( sK2 = Y0 )
                & sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).

thf(f40,plain,
    ( ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] :
              ( ( ( sK3 = Y0 )
                & ~ sK1 )
              | ( ( sK2 = Y0 )
                & sK1 ) ) ) )
     != $true )
    | spl7_3 ),
    inference(avatar_component_clause,[],[f38]) ).

thf(f41,plain,
    ~ spl7_3,
    inference(avatar_split_clause,[],[f20,f38]) ).

thf(f43,definition,
    ( spl7_4
  <=> ( $true
      = ( in @ sK2 @ sK0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).

thf(f45,plain,
    ( ( $true
      = ( in @ sK2 @ sK0 ) )
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f46,plain,
    spl7_4,
    inference(avatar_split_clause,[],[f18,f43]) ).

thf(f47,plain,
    spl7_1,
    inference(avatar_split_clause,[],[f17,f30]) ).

thf(f54,definition,
    ( spl7_6
  <=> ( sK1 = $true ) ),
    introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).

thf(f56,plain,
    ( ( sK1 = $true )
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f54]) ).

thf(f57,plain,
    spl7_6,
    inference(avatar_split_clause,[],[f19,f54]) ).

thf(f74,plain,
    ( ( $false = sK1 )
    | ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] :
              ( ( ( sK3 = Y0 )
                & ~ $true )
              | ( ( sK2 = Y0 )
                & $true ) ) ) )
     != $true )
    | spl7_3 ),
    inference(fool_paramodulation,[],[f40]) ).

thf(f75,plain,
    ( ( $false = sK1 )
    | ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] :
              ( ( ( sK3 = Y0 )
                & ~ $true )
              | ( sK2 = Y0 ) ) ) )
     != $true )
    | spl7_3 ),
    inference(boolean_simplification,[],[f74]) ).

thf(f76,plain,
    ( ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] :
              ( ( ( sK3 = Y0 )
                & $false )
              | ( sK2 = Y0 ) ) ) )
     != $true )
    | ( $false = sK1 )
    | spl7_3 ),
    inference(boolean_simplification,[],[f75]) ).

thf(f77,plain,
    ( ( $false = sK1 )
    | ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] :
              ( $false
              | ( sK2 = Y0 ) ) ) )
     != $true )
    | spl7_3 ),
    inference(boolean_simplification,[],[f76]) ).

thf(f78,plain,
    ( ( ( in @ sK2
        @ ( dsetconstr @ sK0
          @ ^ [Y0: $i] : ( sK2 = Y0 ) ) )
     != $true )
    | ( $false = sK1 )
    | spl7_3 ),
    inference(boolean_simplification,[],[f77]) ).

thf(f79,plain,
    ( ( $false = sK1 )
    | ( ( in @ sK2 @ ( dsetconstr @ sK0 @ ( (=) @ sK2 ) ) )
     != $true )
    | spl7_3 ),
    inference(beta-eta_normalization,[],[f78]) ).

thf(f80,plain,
    ( ( ( in @ sK2 @ ( dsetconstr @ sK0 @ ( (=) @ sK2 ) ) )
     != $true )
    | ( $false = $true )
    | spl7_3
    | ~ spl7_6 ),
    inference(forward_demodulation,[],[f79,f56]) ).

thf(f81,plain,
    ( ( ( in @ sK2 @ ( dsetconstr @ sK0 @ ( (=) @ sK2 ) ) )
     != $true )
    | spl7_3
    | ~ spl7_6 ),
    inference(trivial_inequality_removal,[],[f80]) ).

thf(f83,definition,
    ( spl7_10
  <=> ( ( in @ sK2 @ ( dsetconstr @ sK0 @ ( (=) @ sK2 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).

thf(f85,plain,
    ( ( ( in @ sK2 @ ( dsetconstr @ sK0 @ ( (=) @ sK2 ) ) )
     != $true )
    | spl7_10 ),
    inference(avatar_component_clause,[],[f83]) ).

thf(f86,plain,
    ( ~ spl7_10
    | spl7_3
    | ~ spl7_6 ),
    inference(avatar_split_clause,[],[f81,f54,f38,f83]) ).

thf(f89,plain,
    ( ( ( sK2 = sK2 )
     != $true )
    | ( $true
     != ( in @ sK2 @ sK0 ) )
    | ( $true != $true )
    | ~ spl7_2
    | spl7_10 ),
    inference(superposition,[],[f85,f35]) ).

thf(f90,plain,
    ( ( $true
     != ( in @ sK2 @ sK0 ) )
    | ( $true != $true )
    | ( sK2 != sK2 )
    | ~ spl7_2
    | spl7_10 ),
    inference(equality_proxy_clausification,[],[f89]) ).

thf(f91,plain,
    ( ( $true
     != ( in @ sK2 @ sK0 ) )
    | ~ spl7_2
    | spl7_10 ),
    inference(trivial_inequality_removal,[],[f90]) ).

thf(f102,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_4
    | spl7_10 ),
    inference(forward_subsumption_resolution,[],[f91,f45]) ).

thf(f103,plain,
    ( ~ spl7_2
    | ~ spl7_4
    | spl7_10 ),
    inference(avatar_contradiction_clause,[],[f102]) ).

cnf(s1,plain,
    ( ~ spl7_1
    | spl7_2 ),
    inference(sat_conversion,[],[f36]) ).

cnf(s2,plain,
    ~ spl7_3,
    inference(sat_conversion,[],[f41]) ).

cnf(s3,plain,
    spl7_4,
    inference(sat_conversion,[],[f46]) ).

cnf(s4,plain,
    spl7_1,
    inference(sat_conversion,[],[f47]) ).

cnf(s6,plain,
    spl7_6,
    inference(sat_conversion,[],[f57]) ).

cnf(s10,plain,
    ( spl7_3
    | ~ spl7_6
    | ~ spl7_10 ),
    inference(sat_conversion,[],[f86]) ).

cnf(s11,plain,
    ( ~ spl7_2
    | ~ spl7_4
    | spl7_10 ),
    inference(sat_conversion,[],[f103]) ).

cnf(s13,plain,
    ~ spl7_10,
    inference(rat,[],[s10,s6,s2]) ).

cnf(s14,plain,
    ~ spl7_2,
    inference(rat,[],[s11,s3,s13]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s1,s14,s4]) ).

thf(f110,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU702^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26  % Computer : n009.cluster.edu
% 0.10/0.26  % Model    : x86_64 x86_64
% 0.10/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26  % Memory   : 8046.5625MB
% 0.10/0.26  % OS       : Linux 6.8.0-71-generic
% 0.10/0.26  % CPULimit : 300
% 0.10/0.26  % WCLimit  : 300
% 0.10/0.26  % DateTime : Tue Sep 29 14:12:00 UTC 2026
% 0.10/0.27  % CPUTime  : 
% 0.10/0.27  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.32  Running higher-order theorem proving
% 0.27/0.33  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
% 0.27/0.37  % (4062128)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.27/0.37  % (4062136)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=3627999794: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)
% 0.27/0.37  % (4062136) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4062128-4062136"...
% 0.27/0.37  % (4062136)...printing done.
% 0.27/0.37  % (4062136)Refutation found. Thanks to Tanya!
% 0.27/0.37  % SZS status Theorem for theBenchmark
% 0.27/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.37  % (4062136)------------------------------
% 0.27/0.37  % (4062136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.37  % (4062136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.37  % (4062136)CaDiCaL version: 2.1.3
% 0.27/0.37  % (4062136)Termination reason: Refutation
% 0.27/0.37  % (4062136)Time elapsed: 0.005 s
% 0.27/0.37  % (4062136)Peak memory usage: 13 MB
% 0.27/0.37  % (4062136)Instructions burned: 7 (million)
% 0.27/0.37  % (4062128)Success in time 0.027 s
% 0.27/0.37  % Vampire exiting
%------------------------------------------------------------------------------