TSTP Solution File: ANA079^1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : ANA079^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n005.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 May 20 18:39:42 EDT 2024

% Result   : Theorem 15.21s 3.51s
% Output   : Refutation 15.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   61 (   8 unt;  11 typ;   0 def)
%            Number of atoms       :  211 (  36 equ;   0 cnn)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  423 (  44   ~;  42   |;  14   &; 303   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   98 (   0   ^  87   !;   9   ?;  98   :)
%                                         (   2  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf('\'type/realax/real\'_type',type,
    '\'type/realax/real\'': $tType ).

thf('\'const/sets/sup\'_type',type,
    '\'const/sets/sup\'': ( '\'type/realax/real\'' > $o ) > '\'type/realax/real\'' ).

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

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

thf('\'const/realax/real_le\'_type',type,
    '\'const/realax/real_le\'': '\'type/realax/real\'' > '\'type/realax/real\'' > $o ).

thf(sk1_type,type,
    sk1: '\'type/realax/real\'' > $o ).

thf(sk2_type,type,
    sk2: '\'type/realax/real\'' ).

thf(sk3_type,type,
    sk3: '\'type/realax/real\'' ).

thf(sk4_type,type,
    sk4: '\'type/realax/real\'' ).

thf(sk5_type,type,
    sk5: ( '\'type/realax/real\'' > $o ) > $o ).

thf(sk6_type,type,
    sk6: '\'type/realax/real\'' > ( '\'type/realax/real\'' > $o ) > '\'type/realax/real\'' ).

thf(1,conjecture,
    ! [A: '\'type/realax/real\'' > $o,B: '\'type/realax/real\'',C: '\'type/realax/real\'',D: '\'type/realax/real\''] :
      ( ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ D @ A )
        & ( '\'const/realax/real_le\'' @ B @ D )
        & ! [E: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
           => ( '\'const/realax/real_le\'' @ E @ C ) ) )
     => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_LE_SUP_') ).

thf(2,negated_conjecture,
    ~ ! [A: '\'type/realax/real\'' > $o,B: '\'type/realax/real\'',C: '\'type/realax/real\'',D: '\'type/realax/real\''] :
        ( ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ D @ A )
          & ( '\'const/realax/real_le\'' @ B @ D )
          & ! [E: '\'type/realax/real\''] :
              ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
             => ( '\'const/realax/real_le\'' @ E @ C ) ) )
       => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ! [A: '\'type/realax/real\'' > $o,B: '\'type/realax/real\'',C: '\'type/realax/real\'',D: '\'type/realax/real\''] :
        ( ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ D @ A )
          & ( '\'const/realax/real_le\'' @ B @ D )
          & ! [E: '\'type/realax/real\''] :
              ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
             => ( '\'const/realax/real_le\'' @ E @ C ) ) )
       => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,plain,
    ~ ! [A: '\'type/realax/real\'' > $o,B: '\'type/realax/real\''] :
        ( ? [C: '\'type/realax/real\'',D: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ D @ A )
            & ( '\'const/realax/real_le\'' @ B @ D )
            & ! [E: '\'type/realax/real\''] :
                ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
               => ( '\'const/realax/real_le\'' @ E @ C ) ) )
       => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) ),
    inference(miniscope,[status(thm)],[6]) ).

thf(11,plain,
    '\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ sk1,
    inference(cnf,[status(esa)],[7]) ).

thf(5,axiom,
    ! [A: '\'type/realax/real\'' > $o] :
      ( ( ( A
         != ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
        & ? [B: '\'type/realax/real\''] :
          ! [C: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ C @ A )
           => ( '\'const/realax/real_le\'' @ C @ B ) ) )
     => ( ! [B: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
           => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) )
        & ! [B: '\'type/realax/real\''] :
            ( ! [C: '\'type/realax/real\''] :
                ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ C @ A )
               => ( '\'const/realax/real_le\'' @ C @ B ) )
           => ( '\'const/realax/real_le\'' @ ( '\'const/sets/sup\'' @ A ) @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/SUP_') ).

thf(17,plain,
    ! [A: '\'type/realax/real\'' > $o] :
      ( ( ( A
         != ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
        & ? [B: '\'type/realax/real\''] :
          ! [C: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ C @ A )
           => ( '\'const/realax/real_le\'' @ C @ B ) ) )
     => ( ! [B: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
           => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) )
        & ! [B: '\'type/realax/real\''] :
            ( ! [C: '\'type/realax/real\''] :
                ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ C @ A )
               => ( '\'const/realax/real_le\'' @ C @ B ) )
           => ( '\'const/realax/real_le\'' @ ( '\'const/sets/sup\'' @ A ) @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(20,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ( A
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ B @ A ) @ A )
      | ( sk5 @ A ) ),
    inference(cnf,[status(esa)],[17]) ).

thf(23,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ( A
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ B @ A ) @ A )
      | ( sk5 @ A ) ),
    inference(lifteq,[status(thm)],[20]) ).

thf(21,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ~ ( sk5 @ A )
      | ~ ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
      | ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) ),
    inference(cnf,[status(esa)],[17]) ).

thf(24,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ~ ( sk5 @ A )
      | ~ ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
      | ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) ) ),
    inference(simp,[status(thm)],[21]) ).

thf(31,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ~ ( sk5 @ A )
      | ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/sup\'' @ A ) )
      | ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ sk1 )
       != ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[11,24]) ).

thf(32,plain,
    ( ~ ( sk5 @ sk1 )
    | ( '\'const/realax/real_le\'' @ sk4 @ ( '\'const/sets/sup\'' @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).

thf(10,plain,
    '\'const/realax/real_le\'' @ sk2 @ sk4,
    inference(cnf,[status(esa)],[7]) ).

thf(3,axiom,
    ! [A: '\'type/realax/real\'',B: '\'type/realax/real\'',C: '\'type/realax/real\''] :
      ( ( ( '\'const/realax/real_le\'' @ A @ B )
        & ( '\'const/realax/real_le\'' @ B @ C ) )
     => ( '\'const/realax/real_le\'' @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/REAL_LE_TRANS_') ).

thf(12,plain,
    ! [A: '\'type/realax/real\'',B: '\'type/realax/real\'',C: '\'type/realax/real\''] :
      ( ( ( '\'const/realax/real_le\'' @ A @ B )
        & ( '\'const/realax/real_le\'' @ B @ C ) )
     => ( '\'const/realax/real_le\'' @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(13,plain,
    ! [C: '\'type/realax/real\'',B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ A @ B )
      | ~ ( '\'const/realax/real_le\'' @ B @ C )
      | ( '\'const/realax/real_le\'' @ A @ C ) ),
    inference(cnf,[status(esa)],[12]) ).

thf(8,plain,
    ~ ( '\'const/realax/real_le\'' @ sk2 @ ( '\'const/sets/sup\'' @ sk1 ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(71,plain,
    ! [C: '\'type/realax/real\'',B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ A @ B )
      | ~ ( '\'const/realax/real_le\'' @ B @ C )
      | ( ( '\'const/realax/real_le\'' @ A @ C )
       != ( '\'const/realax/real_le\'' @ sk2 @ ( '\'const/sets/sup\'' @ sk1 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,8]) ).

thf(72,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ sk2 @ A )
      | ~ ( '\'const/realax/real_le\'' @ A @ ( '\'const/sets/sup\'' @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[71:[bind(A,$thf( sk2 )),bind(B,$thf( B )),bind(C,$thf( '\'const/sets/sup\'' @ sk1 ))]]) ).

thf(89,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ sk2 @ A )
      | ~ ( '\'const/realax/real_le\'' @ A @ ( '\'const/sets/sup\'' @ sk1 ) ) ),
    inference(simp,[status(thm)],[72]) ).

thf(96,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ A @ ( '\'const/sets/sup\'' @ sk1 ) )
      | ( ( '\'const/realax/real_le\'' @ sk2 @ sk4 )
       != ( '\'const/realax/real_le\'' @ sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[10,89]) ).

thf(97,plain,
    ~ ( '\'const/realax/real_le\'' @ sk4 @ ( '\'const/sets/sup\'' @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[96:[bind(A,$thf( sk4 ))]]) ).

thf(185,plain,
    ( ~ ( sk5 @ sk1 )
    | $false ),
    inference(rewrite,[status(thm)],[32,97]) ).

thf(186,plain,
    ~ ( sk5 @ sk1 ),
    inference(simp,[status(thm)],[185]) ).

thf(252,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ( A
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ B @ A ) @ A )
      | ( ( sk5 @ A )
       != ( sk5 @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[23,186]) ).

thf(253,plain,
    ! [A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ A @ sk1 ) @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[252:[bind(A,$thf( sk1 )),bind(B,$thf( B ))]]) ).

thf(272,plain,
    ! [A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ A @ sk1 ) @ sk1 ) ),
    inference(simp,[status(thm)],[253]) ).

thf(9,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ A @ sk1 )
      | ( '\'const/realax/real_le\'' @ A @ sk3 ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(1880,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/realax/real_le\'' @ B @ sk3 )
      | ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ A @ sk1 ) @ sk1 )
       != ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[272,9]) ).

thf(1881,plain,
    ! [A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/realax/real_le\'' @ ( sk6 @ A @ sk1 ) @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[1880:[bind(A,$thf( C )),bind(B,$thf( sk6 @ C @ sk1 ))]]) ).

thf(1949,plain,
    ! [A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/realax/real_le\'' @ ( sk6 @ A @ sk1 ) @ sk3 ) ),
    inference(simp,[status(thm)],[1881]) ).

thf(18,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ( A
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ~ ( '\'const/realax/real_le\'' @ ( sk6 @ B @ A ) @ B )
      | ( sk5 @ A ) ),
    inference(cnf,[status(esa)],[17]) ).

thf(26,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ( A
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ~ ( '\'const/realax/real_le\'' @ ( sk6 @ B @ A ) @ B )
      | ( sk5 @ A ) ),
    inference(lifteq,[status(thm)],[18]) ).

thf(2417,plain,
    ! [C: '\'type/realax/real\'',B: '\'type/realax/real\'' > $o,A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( B
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( sk5 @ B )
      | ( ( '\'const/realax/real_le\'' @ ( sk6 @ A @ sk1 ) @ sk3 )
       != ( '\'const/realax/real_le\'' @ ( sk6 @ C @ B ) @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[1949,26]) ).

thf(2418,plain,
    ( ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | ( sk5 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[2417:[bind(A,$thf( sk3 )),bind(B,$thf( sk1 )),bind(C,$thf( sk3 ))]]) ).

thf(2483,plain,
    ( ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | ( sk5 @ sk1 ) ),
    inference(simp,[status(thm)],[2418]) ).

thf(2486,plain,
    ( ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | $false ),
    inference(rewrite,[status(thm)],[2483,186]) ).

thf(2487,plain,
    ( sk1
    = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) ),
    inference(simp,[status(thm)],[2486]) ).

thf(2491,plain,
    '\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ),
    inference(rewrite,[status(thm)],[11,2487]) ).

thf(4,axiom,
    ! [TA: $tType,A: TA > $o] :
      ( ( ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A ) )
      = ( A
       != ( '\'const/sets/EMPTY\'' @ TA ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/MEMBER_NOT_EMPTY_') ).

thf(14,plain,
    ! [TA: $tType,A: TA > $o] :
      ( ( ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A ) )
      = ( A
       != ( '\'const/sets/EMPTY\'' @ TA ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(15,plain,
    ! [TA: $tType,A: TA > $o] :
      ( ( ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A ) )
      = ( A
       != ( '\'const/sets/EMPTY\'' @ TA ) ) ),
    inference(cnf,[status(esa)],[14]) ).

thf(16,plain,
    ! [TA: $tType,A: TA > $o] :
      ( ( ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A ) )
      = ( A
       != ( '\'const/sets/EMPTY\'' @ TA ) ) ),
    inference(lifteq,[status(thm)],[15]) ).

thf(38,plain,
    ! [TA: $tType,A: TA > $o] :
      ( ~ ? [B: TA] : ( '\'const/sets/IN\'' @ TA @ B @ A )
      | ( A
       != ( '\'const/sets/EMPTY\'' @ TA ) ) ),
    inference(bool_ext,[status(thm)],[16]) ).

thf(40,plain,
    ! [TA: $tType,B: TA,A: TA > $o] :
      ( ( A
       != ( '\'const/sets/EMPTY\'' @ TA ) )
      | ~ ( '\'const/sets/IN\'' @ TA @ B @ A ) ),
    inference(cnf,[status(esa)],[38]) ).

thf(41,plain,
    ! [TA: $tType,B: TA,A: TA > $o] :
      ( ( A
       != ( '\'const/sets/EMPTY\'' @ TA ) )
      | ~ ( '\'const/sets/IN\'' @ TA @ B @ A ) ),
    inference(lifteq,[status(thm)],[40]) ).

thf(42,plain,
    ! [TA: $tType,A: TA] :
      ~ ( '\'const/sets/IN\'' @ TA @ A @ ( '\'const/sets/EMPTY\'' @ TA ) ),
    inference(simp,[status(thm)],[41]) ).

thf(2528,plain,
    $false,
    inference(rewrite,[status(thm)],[2491,42]) ).

thf(2529,plain,
    $false,
    inference(simp,[status(thm)],[2528]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA079^1 : TPTP v8.2.0. Released v7.0.0.
% 0.16/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May 20 07:42:39 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.98/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.29/0.98  % [INFO] 	 Parsing done (114ms). 
% 1.29/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.18  % [INFO] 	 nitpick registered as external prover. 
% 1.66/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.82/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 1.89/1.26  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 1.89/1.28  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.89/1.28  % [INFO] 	 Type checking passed. 
% 1.89/1.28  % [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 ... 
% 15.21/3.51  % [INFO] 	 Killing All external provers ... 
% 15.21/3.51  % Time passed: 2974ms (effective reasoning time: 2514ms)
% 15.21/3.51  % 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)>
% 15.21/3.51  % Axioms used in derivation (3): thm/sets/SUP_, thm/realax/REAL_LE_TRANS_, thm/sets/MEMBER_NOT_EMPTY_
% 15.21/3.51  % No. of inferences in proof: 50
% 15.21/3.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2974 ms resp. 2514 ms w/o parsing
% 15.26/3.59  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.26/3.59  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------