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 ...
%------------------------------------------------------------------------------