TSTP Solution File: ANA091^1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : ANA091^1 : 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 : Mon May 20 18:39:44 EDT 2024

% Result   : Theorem 15.21s 3.64s
% Output   : Refutation 15.21s
% 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   ^  88   !;   8   ?;  98   :)
%                                         (   2  !>;   0  ?*;   0  @-;   0  @+)

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

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

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\'' @ D @ C )
          & ! [E: '\'type/realax/real\''] :
              ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
             => ( '\'const/realax/real_le\'' @ B @ E ) ) )
       => ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ C ) ),
    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\'' @ D @ C )
          & ! [E: '\'type/realax/real\''] :
              ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
             => ( '\'const/realax/real_le\'' @ B @ E ) ) )
       => ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ C ) ),
    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\'' @ D @ C )
            & ! [E: '\'type/realax/real\''] :
                ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ E @ A )
               => ( '\'const/realax/real_le\'' @ B @ E ) ) )
       => ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ C ) ),
    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\'' @ B @ C ) ) )
     => ( ! [B: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
           => ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ B ) )
        & ! [B: '\'type/realax/real\''] :
            ( ! [C: '\'type/realax/real\''] :
                ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ C @ A )
               => ( '\'const/realax/real_le\'' @ B @ C ) )
           => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/inf\'' @ A ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/INF_') ).

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\'' @ B @ C ) ) )
     => ( ! [B: '\'type/realax/real\''] :
            ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A )
           => ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ B ) )
        & ! [B: '\'type/realax/real\''] :
            ( ! [C: '\'type/realax/real\''] :
                ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ C @ A )
               => ( '\'const/realax/real_le\'' @ B @ C ) )
           => ( '\'const/realax/real_le\'' @ B @ ( '\'const/sets/inf\'' @ A ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(22,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(25,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)],[22]) ).

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

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

thf(31,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ~ ( sk5 @ A )
      | ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ A ) @ B )
      | ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ sk1 )
       != ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[11,26]) ).

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

thf(10,plain,
    '\'const/realax/real_le\'' @ sk4 @ sk3,
    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\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ sk3 ),
    inference(cnf,[status(esa)],[7]) ).

thf(75,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\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[13,8]) ).

thf(76,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ A )
      | ~ ( '\'const/realax/real_le\'' @ A @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[75:[bind(A,$thf( '\'const/sets/inf\'' @ sk1 )),bind(B,$thf( B )),bind(C,$thf( sk3 ))]]) ).

thf(91,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ A )
      | ~ ( '\'const/realax/real_le\'' @ A @ sk3 ) ),
    inference(simp,[status(thm)],[76]) ).

thf(97,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ A )
      | ( ( '\'const/realax/real_le\'' @ sk4 @ sk3 )
       != ( '\'const/realax/real_le\'' @ A @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[10,91]) ).

thf(98,plain,
    ~ ( '\'const/realax/real_le\'' @ ( '\'const/sets/inf\'' @ sk1 ) @ sk4 ),
    inference(pattern_uni,[status(thm)],[97:[bind(A,$thf( sk4 ))]]) ).

thf(185,plain,
    ( ~ ( sk5 @ sk1 )
    | $false ),
    inference(rewrite,[status(thm)],[32,98]) ).

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

thf(588,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)],[25,186]) ).

thf(589,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)],[588:[bind(A,$thf( sk1 )),bind(B,$thf( B ))]]) ).

thf(597,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)],[589]) ).

thf(9,plain,
    ! [A: '\'type/realax/real\''] :
      ( ~ ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ A @ sk1 )
      | ( '\'const/realax/real_le\'' @ sk2 @ A ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(1792,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/realax/real_le\'' @ sk2 @ B )
      | ( ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ ( sk6 @ A @ sk1 ) @ sk1 )
       != ( '\'const/sets/IN\'' @ '\'type/realax/real\'' @ B @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[597,9]) ).

thf(1793,plain,
    ! [A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/realax/real_le\'' @ sk2 @ ( sk6 @ A @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1792:[bind(A,$thf( C )),bind(B,$thf( sk6 @ C @ sk1 ))]]) ).

thf(1853,plain,
    ! [A: '\'type/realax/real\''] :
      ( ( sk1
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ( '\'const/realax/real_le\'' @ sk2 @ ( sk6 @ A @ sk1 ) ) ),
    inference(simp,[status(thm)],[1793]) ).

thf(21,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ( A
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ~ ( '\'const/realax/real_le\'' @ B @ ( sk6 @ B @ A ) )
      | ( sk5 @ A ) ),
    inference(cnf,[status(esa)],[17]) ).

thf(24,plain,
    ! [B: '\'type/realax/real\'',A: '\'type/realax/real\'' > $o] :
      ( ( A
        = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
      | ~ ( '\'const/realax/real_le\'' @ B @ ( sk6 @ B @ A ) )
      | ( sk5 @ A ) ),
    inference(lifteq,[status(thm)],[21]) ).

thf(2087,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\'' @ sk2 @ ( sk6 @ A @ sk1 ) )
       != ( '\'const/realax/real_le\'' @ C @ ( sk6 @ C @ B ) ) ) ),
    inference(paramod_ordered,[status(thm)],[1853,24]) ).

thf(2088,plain,
    ( ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | ( sk5 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[2087:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( sk2 ))]]) ).

thf(2156,plain,
    ( ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | ( sk5 @ sk1 ) ),
    inference(simp,[status(thm)],[2088]) ).

thf(2173,plain,
    ( ( sk1
      = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) )
    | $false ),
    inference(rewrite,[status(thm)],[2156,186]) ).

thf(2174,plain,
    ( sk1
    = ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ) ),
    inference(simp,[status(thm)],[2173]) ).

thf(2177,plain,
    '\'const/sets/IN\'' @ '\'type/realax/real\'' @ sk4 @ ( '\'const/sets/EMPTY\'' @ '\'type/realax/real\'' ),
    inference(rewrite,[status(thm)],[11,2174]) ).

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(2226,plain,
    $false,
    inference(rewrite,[status(thm)],[2177,42]) ).

thf(2227,plain,
    $false,
    inference(simp,[status(thm)],[2226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ANA091^1 : TPTP v8.2.0. Released v7.0.0.
% 0.12/0.15  % 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 : Mon May 20 07:46:24 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.98/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.12/0.98  % [INFO] 	 Parsing done (118ms). 
% 1.12/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.66/1.21  % [INFO] 	 nitpick registered as external prover. 
% 1.66/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.76/1.29  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 1.94/1.31  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 1.94/1.33  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.94/1.33  % [INFO] 	 Type checking passed. 
% 1.94/1.34  % [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 ... 
% 15.21/3.64  % [INFO] 	 Killing All external provers ... 
% 15.21/3.64  % Time passed: 3128ms (effective reasoning time: 2646ms)
% 15.21/3.64  % 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)>
% 15.21/3.64  % Axioms used in derivation (3): thm/sets/INF_, thm/realax/REAL_LE_TRANS_, thm/sets/MEMBER_NOT_EMPTY_
% 15.21/3.64  % No. of inferences in proof: 50
% 15.21/3.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3128 ms resp. 2646 ms w/o parsing
% 15.21/3.70  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.21/3.70  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------