TSTP Solution File: SEV448^1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEV448^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n008.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 04:11:29 EDT 2024

% Result   : Theorem 101.69s 15.03s
% Output   : Refutation 101.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   66 (  17 unt;   7 typ;   0 def)
%            Number of atoms       :  390 (  78 equ;   0 cnn)
%            Maximal formula atoms :    8 (   6 avg)
%            Number of connectives :  544 (  62   ~;  55   |;   9   &; 408   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   52 (  52   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   82 (   0   ^  79   !;   0   ?;  82   :)
%                                         (   3  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf('\'const/sets/SUBSET\'_type',type,
    '\'const/sets/SUBSET\'': 
      !>[TA: $tType] : ( ( TA > $o ) > ( TA > $o ) > $o ) ).

thf('\'const/sets/IN\'_type',type,
    '\'const/sets/IN\'': 
      !>[TA: $tType] : ( TA > ( TA > $o ) > $o ) ).

thf(skt1_type,type,
    skt1: $tType ).

thf(sk1_type,type,
    sk1: skt1 > $o ).

thf(sk2_type,type,
    sk2: skt1 > $o ).

thf(sk5_type,type,
    sk5: 
      !>[TA: $tType] : ( ( TA > $o ) > ( TA > $o ) > TA ) ).

thf(sk6_type,type,
    sk6: skt1 ).

thf(4,axiom,
    ! [TA: $tType,A: TA > $o,B: TA > $o] :
      ( ( A = B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
            = ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/EXTENSION_') ).

thf(12,plain,
    ! [TA: $tType,A: TA > $o,B: TA > $o] :
      ( ( A = B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
            = ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(13,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( A = B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
            = ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    inference(cnf,[status(esa)],[12]) ).

thf(14,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( A = B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
            = ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    inference(lifteq,[status(thm)],[13]) ).

thf(179,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( A = B )
      | ~ ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
            = ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ),
    inference(bool_ext,[status(thm)],[14]) ).

thf(184,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( A = B )
      | ~ ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
            = ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ),
    inference(lifteq,[status(thm)],[179]) ).

thf(192,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( ( '\'const/sets/IN\'' @ TA @ ( sk5 @ TA @ B @ A ) @ A )
       != ( '\'const/sets/IN\'' @ TA @ ( sk5 @ TA @ B @ A ) @ B ) )
      | ( A = B ) ),
    inference(cnf,[status(esa)],[184]) ).

thf(193,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( ( '\'const/sets/IN\'' @ TA @ ( sk5 @ TA @ B @ A ) @ A )
       != ( '\'const/sets/IN\'' @ TA @ ( sk5 @ TA @ B @ A ) @ B ) )
      | ( A = B ) ),
    inference(lifteq,[status(thm)],[192]) ).

thf(1,conjecture,
    ! [TA: $tType,A: TA > $o,B: TA > $o] :
      ( ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
        & ( '\'const/sets/SUBSET\'' @ TA @ B @ A ) )
      = ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SUBSET_ANTISYM_EQ_') ).

thf(2,negated_conjecture,
    ~ ! [TA: $tType,A: TA > $o,B: TA > $o] :
        ( ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
          & ( '\'const/sets/SUBSET\'' @ TA @ B @ A ) )
        = ( A = B ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ! [TA: $tType,A: TA > $o,B: TA > $o] :
        ( ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
          & ( '\'const/sets/SUBSET\'' @ TA @ B @ A ) )
        = ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,plain,
    ( ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
      & ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 ) )
   != ( sk1 = sk2 ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(8,plain,
    ( ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
      & ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 ) )
   != ( sk1 = sk2 ) ),
    inference(lifteq,[status(thm)],[7]) ).

thf(19,plain,
    ( ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
      & ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 ) )
    | ( sk1 = sk2 ) ),
    inference(bool_ext,[status(thm)],[8]) ).

thf(21,plain,
    ( ( sk2 = sk1 )
    | ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
      & ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 ) ) ),
    inference(lifteq,[status(thm)],[19]) ).

thf(24,plain,
    ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( sk2 = sk1 ) ),
    inference(cnf,[status(esa)],[21]) ).

thf(5,axiom,
    ! [TA: $tType,A: TA > $o,B: TA > $o] :
      ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
           => ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SUBSET_') ).

thf(15,plain,
    ! [TA: $tType,A: TA > $o,B: TA > $o] :
      ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
           => ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(16,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
           => ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(17,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
      = ( ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
           => ( '\'const/sets/IN\'' @ TA @ C @ B ) ) ) ),
    inference(lifteq,[status(thm)],[16]) ).

thf(18,plain,
    ( ~ ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
        & ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 ) )
    | ( sk1 != sk2 ) ),
    inference(bool_ext,[status(thm)],[8]) ).

thf(20,plain,
    ( ( sk2 != sk1 )
    | ~ ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
        & ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 ) ) ),
    inference(lifteq,[status(thm)],[18]) ).

thf(22,plain,
    ( ~ ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ~ ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 )
    | ( sk2 != sk1 ) ),
    inference(cnf,[status(esa)],[20]) ).

thf(75,plain,
    ( ~ ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( sk2 != sk1 )
    | ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 )
     != ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 ) )
    | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[22]) ).

thf(79,plain,
    ( ~ ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( sk2 != sk1 )
    | ( sk2 != sk1 )
    | ( sk2 != sk1 ) ),
    inference(simp,[status(thm)],[75]) ).

thf(82,plain,
    ( ~ ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( sk2 != sk1 ) ),
    inference(simp,[status(thm)],[79]) ).

thf(229,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ~ ! [C: TA] :
            ( ( '\'const/sets/IN\'' @ TA @ C @ A )
           => ( '\'const/sets/IN\'' @ TA @ C @ B ) )
      | ( sk2 != sk1 )
      | ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
       != ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[17,82]) ).

thf(230,plain,
    ( ~ ! [A: skt1] :
          ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
         => ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) )
    | ( sk2 != sk1 ) ),
    inference(pattern_uni,[status(thm)],[229:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind_type(TA,$thf( skt1 ))]]) ).

thf(239,plain,
    ( ( sk2 != sk1 )
    | ( '\'const/sets/IN\'' @ skt1 @ sk6 @ sk1 ) ),
    inference(cnf,[status(esa)],[230]) ).

thf(367,plain,
    ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( '\'const/sets/IN\'' @ skt1 @ sk6 @ sk1 )
    | ( sk2 != sk2 ) ),
    inference(paramod_ordered,[status(thm)],[24,239]) ).

thf(368,plain,
    ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( '\'const/sets/IN\'' @ skt1 @ sk6 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[367:[]]) ).

thf(238,plain,
    ( ( sk2 != sk1 )
    | ~ ( '\'const/sets/IN\'' @ skt1 @ sk6 @ sk2 ) ),
    inference(cnf,[status(esa)],[230]) ).

thf(624,plain,
    ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( sk2 != sk1 )
    | ( ( '\'const/sets/IN\'' @ skt1 @ sk6 @ sk2 )
     != ( '\'const/sets/IN\'' @ skt1 @ sk6 @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[368,238]) ).

thf(665,plain,
    ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( sk2 != sk1 )
    | ( sk6 != sk6 )
    | ( sk2 != sk1 ) ),
    inference(simp,[status(thm)],[624]) ).

thf(676,plain,
    ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
    | ( sk2 != sk1 ) ),
    inference(simp,[status(thm)],[665]) ).

thf(1219,plain,
    ( ( sk2 != sk1 )
    | ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 )
     != ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[676,82]) ).

thf(1220,plain,
    sk2 != sk1,
    inference(pattern_uni,[status(thm)],[1219:[]]) ).

thf(7462,plain,
    ! [B: skt1 > $o,A: skt1 > $o] :
      ( ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ B @ A ) @ A )
       != ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ B @ A ) @ B ) )
      | ( B != sk1 )
      | ( A != sk2 ) ),
    inference(paramod_ordered,[status(thm)],[193,1220]) ).

thf(7463,plain,
    ! [A: skt1 > $o] :
      ( ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ A @ sk2 ) @ sk2 )
       != ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ A @ sk2 ) @ A ) )
      | ( A != sk1 ) ),
    inference(pattern_uni,[status(thm)],[7462:[bind(A,$thf( sk2 )),bind(B,$thf( B ))]]) ).

thf(7608,plain,
    ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk2 )
   != ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk1 ) ),
    inference(simp,[status(thm)],[7463]) ).

thf(9298,plain,
    ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk2 )
    | ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk1 ) ),
    inference(bool_ext,[status(thm)],[7608]) ).

thf(203,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ! [C: TA] :
          ( ( '\'const/sets/IN\'' @ TA @ C @ A )
         => ( '\'const/sets/IN\'' @ TA @ C @ B ) )
      | ( sk2 = sk1 )
      | ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
       != ( '\'const/sets/SUBSET\'' @ skt1 @ sk1 @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[17,24]) ).

thf(204,plain,
    ( ! [A: skt1] :
        ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
       => ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) )
    | ( sk2 = sk1 ) ),
    inference(pattern_uni,[status(thm)],[203:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind_type(TA,$thf( skt1 ))]]) ).

thf(246,plain,
    ! [A: skt1] :
      ( ( sk2 = sk1 )
      | ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ),
    inference(cnf,[status(esa)],[204]) ).

thf(13567,plain,
    ! [A: skt1] :
      ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ),
    inference(simplifyReflect,[status(thm)],[246,1220]) ).

thf(13589,plain,
    ! [A: skt1] :
      ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ~ ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk1 )
      | ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
       != ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[13567,7608]) ).

thf(13590,plain,
    ( ~ ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk1 )
    | ~ ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[13589:[bind(A,$thf( sk5 @ skt1 @ sk1 @ sk2 ))]]) ).

thf(13687,plain,
    ~ ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk1 ),
    inference(simp,[status(thm)],[13590]) ).

thf(13927,plain,
    ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk2 )
    | $false ),
    inference(rewrite,[status(thm)],[9298,13687]) ).

thf(13928,plain,
    '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk2,
    inference(simp,[status(thm)],[13927]) ).

thf(23,plain,
    ( ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 )
    | ( sk2 = sk1 ) ),
    inference(cnf,[status(esa)],[21]) ).

thf(217,plain,
    ! [TA: $tType,B: TA > $o,A: TA > $o] :
      ( ! [C: TA] :
          ( ( '\'const/sets/IN\'' @ TA @ C @ A )
         => ( '\'const/sets/IN\'' @ TA @ C @ B ) )
      | ( sk2 = sk1 )
      | ( ( '\'const/sets/SUBSET\'' @ TA @ A @ B )
       != ( '\'const/sets/SUBSET\'' @ skt1 @ sk2 @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[17,23]) ).

thf(218,plain,
    ( ! [A: skt1] :
        ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
       => ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) )
    | ( sk2 = sk1 ) ),
    inference(pattern_uni,[status(thm)],[217:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 )),bind_type(TA,$thf( skt1 ))]]) ).

thf(251,plain,
    ! [A: skt1] :
      ( ( sk2 = sk1 )
      | ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ),
    inference(cnf,[status(esa)],[218]) ).

thf(16136,plain,
    ! [A: skt1] :
      ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ),
    inference(simplifyReflect,[status(thm)],[251,1220]) ).

thf(16144,plain,
    ! [A: skt1] :
      ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk2 )
       != ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[13928,16136]) ).

thf(16145,plain,
    '\'const/sets/IN\'' @ skt1 @ ( sk5 @ skt1 @ sk1 @ sk2 ) @ sk1,
    inference(pattern_uni,[status(thm)],[16144:[bind(A,$thf( sk5 @ skt1 @ sk1 @ sk2 ))]]) ).

thf(16186,plain,
    $false,
    inference(rewrite,[status(thm)],[16145,13687]) ).

thf(16187,plain,
    $false,
    inference(simp,[status(thm)],[16186]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEV448^1 : TPTP v8.2.0. Released v7.0.0.
% 0.16/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sun May 19 19:00:54 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.92/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.18/0.95  % [INFO] 	 Parsing done (99ms). 
% 1.18/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.55/1.16  % [INFO] 	 nitpick registered as external prover. 
% 1.55/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.66/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 1.66/1.23  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 1.83/1.24  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.83/1.24  % [INFO] 	 Type checking passed. 
% 1.83/1.24  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 101.69/15.02  % [INFO] 	 Killing All external provers ... 
% 101.69/15.03  % Time passed: 14501ms (effective reasoning time: 14061ms)
% 101.69/15.03  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 101.69/15.03  % Axioms used in derivation (2): thm/sets/EXTENSION_, thm/sets/SUBSET_
% 101.69/15.03  % No. of inferences in proof: 59
% 101.69/15.03  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 14501 ms resp. 14061 ms w/o parsing
% 101.75/15.06  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 101.75/15.06  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------