TSTP Solution File: SEV447^1 by Leo-III-SAT---1.7.15

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SEV447^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n020.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 : Mon Jun 24 16:00:17 EDT 2024

% Result   : Theorem 161.03s 23.02s
% Output   : Refutation 161.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   60 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  382 ( 109 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives :  529 (  86   ~;  45   |;   0   &; 398   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :  124 (  13   ^ 100   !;  11   ?; 124   :)

% Comments : 
%------------------------------------------------------------------------------
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(sk3_type,type,
    sk3: skt1 ).

thf(sk5_type,type,
    sk5: 
      !>[TA: $tType] : ( TA > skt1 ) ).

thf(sk78_type,type,
    sk78: skt1 ).

thf(3,axiom,
    ! [TA: $tType,A: TA > $o,B: TA] :
      ( ( '\'const/sets/IN\'' @ TA @ B @ A )
      = ( A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/IN_') ).

thf(8,plain,
    ! [TA: $tType,A: TA > $o,B: TA] :
      ( ( '\'const/sets/IN\'' @ TA @ B @ A )
      = ( A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(9,plain,
    ! [TA: $tType,B: TA,A: TA > $o] :
      ( ( '\'const/sets/IN\'' @ TA @ B @ A )
      = ( A @ B ) ),
    inference(cnf,[status(esa)],[8]) ).

thf(10,plain,
    ! [TA: $tType,B: TA,A: TA > $o] :
      ( ( '\'const/sets/IN\'' @ TA @ B @ A )
      = ( A @ B ) ),
    inference(lifteq,[status(thm)],[9]) ).

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(11,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(12,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)],[11]) ).

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(lifteq,[status(thm)],[12]) ).

thf(115,plain,
    ! [TA: $tType,TB: $tType,D: TB > $o,C: TB > $o,B: TA,A: TA > $o] :
      ( ( ( '\'const/sets/IN\'' @ TA @ B @ A )
        = ( ! [E: TB] :
              ( ( '\'const/sets/IN\'' @ TB @ E @ C )
              = ( '\'const/sets/IN\'' @ TB @ E @ D ) ) ) )
      | ( ( A @ B )
       != ( C = D ) ) ),
    inference(paramod_ordered,[status(thm)],[10,13]) ).

thf(134,plain,
    ! [TA: $tType,TB: $tType,C: TA > TB > $o,B: TA > TB > $o,A: TA] :
      ( ( '\'const/sets/IN\'' @ TA @ A
        @ ^ [D: TA] :
            ( ( B @ D )
            = ( C @ D ) ) )
      = ( ! [D: TB] :
            ( ( '\'const/sets/IN\'' @ TB @ D @ ( B @ A ) )
            = ( '\'const/sets/IN\'' @ TB @ D @ ( C @ A ) ) ) ) ),
    inference(pre_uni,[status(thm)],[115:[bind(A,$thf( ^ [G: TA] : ( ( E @ G ) = ( F @ G ) ) )),bind(B,$thf( B )),bind(C,$thf( E @ B )),bind(D,$thf( F @ B ))]]) ).

thf(142,plain,
    ! [TA: $tType,TB: $tType,C: TA > TB > $o,B: TA > TB > $o,A: TA] :
      ( ( '\'const/sets/IN\'' @ TA @ A
        @ ^ [D: TA] :
            ( ( B @ D )
            = ( C @ D ) ) )
      = ( ! [D: TB] :
            ( ( '\'const/sets/IN\'' @ TB @ D @ ( B @ A ) )
            = ( '\'const/sets/IN\'' @ TB @ D @ ( C @ A ) ) ) ) ),
    inference(simp,[status(thm)],[134]) ).

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

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

thf(5,plain,
    ~ ! [TA: $tType,A: TA > $o,B: TA > $o] :
        ( ( A != B )
        = ( ? [C: TA] :
              ( ( '\'const/sets/IN\'' @ TA @ C @ B )
              = ( ~ ( '\'const/sets/IN\'' @ TA @ C @ A ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,plain,
    ( ( sk1 != sk2 )
   != ( ? [A: skt1] :
          ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
          = ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ) ) ) ),
    inference(cnf,[status(esa)],[5]) ).

thf(7,plain,
    ( ( sk1 != sk2 )
   != ( ? [A: skt1] :
          ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
          = ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ) ) ) ),
    inference(lifteq,[status(thm)],[6]) ).

thf(23,plain,
    ! [TA: $tType,B: TA,A: TA > $o] :
      ( ( ( ~ ( '\'const/sets/IN\'' @ TA @ B @ A ) )
       != ( ? [C: skt1] :
              ( ( '\'const/sets/IN\'' @ skt1 @ C @ sk2 )
              = ( ~ ( '\'const/sets/IN\'' @ skt1 @ C @ sk1 ) ) ) ) )
      | ( ( A @ B )
       != ( sk1 = sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[10,7]) ).

thf(26,plain,
    ! [TA: $tType,A: TA] :
      ( ( ~ ( '\'const/sets/IN\'' @ TA @ A
            @ ^ [B: TA] : ( sk1 = sk2 ) ) )
     != ( ? [B: skt1] :
            ( ( '\'const/sets/IN\'' @ skt1 @ B @ sk2 )
            = ( ~ ( '\'const/sets/IN\'' @ skt1 @ B @ sk1 ) ) ) ) ),
    inference(pre_uni,[status(thm)],[23:[bind(A,$thf( ^ [C: TA] : ( sk1 = sk2 ) )),bind(B,$thf( B ))]]) ).

thf(28,plain,
    ! [TA: $tType,A: TA] :
      ( ( ~ ( '\'const/sets/IN\'' @ TA @ A
            @ ^ [B: TA] : ( sk1 = sk2 ) ) )
     != ( ? [B: skt1] :
            ( ( '\'const/sets/IN\'' @ skt1 @ B @ sk2 )
            = ( ~ ( '\'const/sets/IN\'' @ skt1 @ B @ sk1 ) ) ) ) ),
    inference(simp,[status(thm)],[26]) ).

thf(48,plain,
    ! [TA: $tType,A: TA] :
      ( ~ ( '\'const/sets/IN\'' @ TA @ A
          @ ^ [B: TA] : ( sk1 = sk2 ) )
      | ? [B: skt1] :
          ( ( '\'const/sets/IN\'' @ skt1 @ B @ sk2 )
          = ( ~ ( '\'const/sets/IN\'' @ skt1 @ B @ sk1 ) ) ) ),
    inference(bool_ext,[status(thm)],[28]) ).

thf(58,plain,
    ! [TA: $tType,A: TA] :
      ( ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk2 )
        = ( ~ ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk1 ) ) )
      | ~ ( '\'const/sets/IN\'' @ TA @ A
          @ ^ [B: TA] : ( sk1 = sk2 ) ) ),
    inference(cnf,[status(esa)],[48]) ).

thf(59,plain,
    ! [TA: $tType,A: TA] :
      ( ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk2 )
        = ( ~ ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk1 ) ) )
      | ~ ( '\'const/sets/IN\'' @ TA @ A
          @ ^ [B: TA] : ( sk1 = sk2 ) ) ),
    inference(lifteq,[status(thm)],[58]) ).

thf(14,plain,
    ( ~ ( ( sk1 != sk2 ) )
    | ~ ? [A: skt1] :
          ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
          = ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ) ) ),
    inference(bool_ext,[status(thm)],[7]) ).

thf(16,plain,
    ! [A: skt1] :
      ( ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
       != ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ) )
      | ( sk1 = sk2 ) ),
    inference(cnf,[status(esa)],[14]) ).

thf(17,plain,
    ! [A: skt1] :
      ( ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
       != ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ) )
      | ( sk2 = sk1 ) ),
    inference(lifteq,[status(thm)],[16]) ).

thf(1700,plain,
    ! [TA: $tType,B: skt1,A: TA] :
      ( ~ ( '\'const/sets/IN\'' @ TA @ A
          @ ^ [C: TA] : ( sk1 = sk2 ) )
      | ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk1 )
       != ( '\'const/sets/IN\'' @ skt1 @ B @ sk1 ) )
      | ( sk2 = sk1 )
      | ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk2 )
       != ( '\'const/sets/IN\'' @ skt1 @ B @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[59,17]) ).

thf(1701,plain,
    ! [TA: $tType,A: TA] :
      ( ~ ( '\'const/sets/IN\'' @ TA @ A
          @ ^ [B: TA] : ( sk1 = sk2 ) )
      | ( ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk1 )
       != ( '\'const/sets/IN\'' @ skt1 @ ( sk5 @ TA @ A ) @ sk1 ) )
      | ( sk2 = sk1 ) ),
    inference(pattern_uni,[status(thm)],[1700:[bind(A,$thf( C )),bind(B,$thf( sk5 @ TA @ C ))]]) ).

thf(1879,plain,
    ! [TA: $tType,A: TA] :
      ( ~ ( '\'const/sets/IN\'' @ TA @ A
          @ ^ [B: TA] : ( sk1 = sk2 ) )
      | ( sk2 = sk1 ) ),
    inference(simp,[status(thm)],[1701]) ).

thf(15,plain,
    ( ( sk1 != sk2 )
    | ? [A: skt1] :
        ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
        = ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ) ) ),
    inference(bool_ext,[status(thm)],[7]) ).

thf(18,plain,
    ( ( ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 )
      = ( ~ ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk1 ) ) )
    | ( sk1 != sk2 ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(19,plain,
    ( ( ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 )
      = ( ~ ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk1 ) ) )
    | ( sk2 != sk1 ) ),
    inference(lifteq,[status(thm)],[18]) ).

thf(157,plain,
    ! [TA: $tType,B: TA,A: TA > $o] :
      ( ( ( ~ ( A @ B ) )
        = ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 ) )
      | ( sk2 != sk1 )
      | ( ( '\'const/sets/IN\'' @ TA @ B @ A )
       != ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[10,19]) ).

thf(158,plain,
    ( ( ( ~ ( sk1 @ sk3 ) )
      = ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 ) )
    | ( sk2 != sk1 ) ),
    inference(pattern_uni,[status(thm)],[157:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 )),bind_type(TA,$thf( skt1 ))]]) ).

thf(5057,plain,
    ( ( sk2 != sk1 )
    | ( ( sk1 @ sk3 )
      = ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 ) )
    | ( ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 )
     != ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[158,19]) ).

thf(5101,plain,
    ( ( ( sk1 @ sk3 )
      = ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 ) )
    | ( sk2 != sk1 )
    | ( sk3 != sk3 )
    | ( sk2 != sk1 ) ),
    inference(simp,[status(thm)],[5057]) ).

thf(5164,plain,
    ( ( ( sk1 @ sk3 )
      = ( '\'const/sets/IN\'' @ skt1 @ sk3 @ sk2 ) )
    | ( sk2 != sk1 ) ),
    inference(simp,[status(thm)],[5101]) ).

thf(6844,plain,
    ( ( sk2 != sk1 )
    | ( ( sk1 @ sk3 )
     != ( sk1 @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[5164,158]) ).

thf(6845,plain,
    sk2 != sk1,
    inference(pattern_uni,[status(thm)],[6844:[]]) ).

thf(14580,plain,
    ! [TA: $tType,A: TA] :
      ~ ( '\'const/sets/IN\'' @ TA @ A
        @ ^ [B: TA] : ( sk1 = sk2 ) ),
    inference(simplifyReflect,[status(thm)],[1879,6845]) ).

thf(14610,plain,
    ! [TA: $tType,TB: $tType,TC: $tType,D: TC,C: TA > TB > $o,B: TA > TB > $o,A: TA] :
      ( ~ ! [E: TB] :
            ( ( '\'const/sets/IN\'' @ TB @ E @ ( B @ A ) )
            = ( '\'const/sets/IN\'' @ TB @ E @ ( C @ A ) ) )
      | ( ( '\'const/sets/IN\'' @ TA @ A
          @ ^ [E: TA] :
              ( ( B @ E )
              = ( C @ E ) ) )
       != ( '\'const/sets/IN\'' @ TC @ D
          @ ^ [E: TC] : ( sk1 = sk2 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[142,14580]) ).

thf(14611,plain,
    ~ ! [A: skt1] :
        ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
        = ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ),
    inference(pattern_uni,[status(thm)],[14610:[bind(A,$thf( A )),bind(B,$thf( ^ [E: TC] : sk1 )),bind(C,$thf( ^ [E: TC] : sk2 )),bind(D,$thf( A )),bind_type(TA,$thf( TC )),bind_type(TB,$thf( skt1 ))]]) ).

thf(14655,plain,
    ( ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 )
   != ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2 ) ),
    inference(cnf,[status(esa)],[14611]) ).

thf(14656,plain,
    ( ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2 )
   != ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 ) ),
    inference(lifteq,[status(thm)],[14655]) ).

thf(14681,plain,
    ( ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2 )
    | ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 ) ),
    inference(bool_ext,[status(thm)],[14656]) ).

thf(203,plain,
    ! [A: skt1] :
      ( ( sk2 = sk1 )
      | ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
      | ~ ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ),
    inference(bool_ext,[status(thm)],[17]) ).

thf(250,plain,
    ! [A: skt1] :
      ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
      | ( sk2 = sk1 ) ),
    inference(cnf,[status(esa)],[203]) ).

thf(32526,plain,
    ! [A: skt1] :
      ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ),
    inference(simplifyReflect,[status(thm)],[250,6845]) ).

thf(32553,plain,
    ! [A: skt1] :
      ( ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ( ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2 )
       != ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[14681,32526]) ).

thf(32554,plain,
    ( ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 )
    | ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[32553:[bind(A,$thf( sk78 ))]]) ).

thf(32587,plain,
    '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1,
    inference(simp,[status(thm)],[32554]) ).

thf(204,plain,
    ! [A: skt1] :
      ( ( sk2 = sk1 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
      | ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ),
    inference(bool_ext,[status(thm)],[17]) ).

thf(251,plain,
    ! [A: skt1] :
      ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
      | ( sk2 = sk1 ) ),
    inference(cnf,[status(esa)],[204]) ).

thf(33094,plain,
    ! [A: skt1] :
      ( ~ ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 )
      | ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 ) ),
    inference(simplifyReflect,[status(thm)],[251,6845]) ).

thf(33155,plain,
    ! [A: skt1] :
      ( ( '\'const/sets/IN\'' @ skt1 @ A @ sk2 )
      | ( ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 )
       != ( '\'const/sets/IN\'' @ skt1 @ A @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[32587,33094]) ).

thf(33156,plain,
    '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2,
    inference(pattern_uni,[status(thm)],[33155:[bind(A,$thf( sk78 ))]]) ).

thf(14680,plain,
    ( ~ ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2 )
    | ~ ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk1 ) ),
    inference(bool_ext,[status(thm)],[14656]) ).

thf(32606,plain,
    ( ~ ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2 )
    | ~ $true ),
    inference(rewrite,[status(thm)],[14680,32587]) ).

thf(32607,plain,
    ~ ( '\'const/sets/IN\'' @ skt1 @ sk78 @ sk2 ),
    inference(simp,[status(thm)],[32606]) ).

thf(33739,plain,
    $false,
    inference(rewrite,[status(thm)],[33156,32607]) ).

thf(33740,plain,
    $false,
    inference(simp,[status(thm)],[33739]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEV447^1 : TPTP v8.2.0. Released v7.0.0.
% 0.00/0.11  % Command  : run_Leo-III %s %d SAT
% 0.10/0.32  % Computer : n020.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Fri Jun 21 19:40:10 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.85/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.17/0.97  % [INFO] 	 Parsing done (107ms). 
% 1.17/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.61/1.19  % [INFO] 	 nitpick registered as external prover. 
% 1.61/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.80/1.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 1.80/1.28  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 1.80/1.28  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.80/1.29  % [INFO] 	 Type checking passed. 
% 1.80/1.29  % [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 ... 
% 161.03/23.02  % [INFO] 	 Killing All external provers ... 
% 161.03/23.02  % Time passed: 22498ms (effective reasoning time: 22042ms)
% 161.03/23.02  % 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)>
% 161.03/23.02  % Axioms used in derivation (2): thm/sets/IN_, thm/sets/EXTENSION_
% 161.03/23.02  % No. of inferences in proof: 60
% 161.03/23.02  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 22498 ms resp. 22042 ms w/o parsing
% 161.03/23.06  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 161.03/23.06  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------