TSTP Solution File: SET647+3 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 : Fri May 19 11:53:57 EDT 2023
% Result : Theorem 35.69s 6.38s
% Output : Refutation 35.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 48
% Syntax : Number of formulae : 155 ( 23 unt; 21 typ; 0 def)
% Number of atoms : 452 ( 44 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1460 ( 137 ~; 97 |; 38 &;1043 @)
% ( 9 <=>; 136 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 227 ( 0 ^; 207 !; 20 ?; 227 :)
% Comments :
%------------------------------------------------------------------------------
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i > $i > $i ).
thf(sk4_type,type,
sk4: $i > $i ).
thf(sk9_type,type,
sk9: $i > $i ).
thf(sk10_type,type,
sk10: $i ).
thf(4,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ( empty @ A )
<=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ~ ( member @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
thf(36,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ( ( empty @ A )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ~ ( member @ B @ A ) ) )
& ( ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ~ ( member @ B @ A ) )
=> ( empty @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(38,plain,
! [A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ( member @ ( sk4 @ A ) @ A )
| ( empty @ A ) ),
inference(cnf,[status(esa)],[36]) ).
thf(26,axiom,
! [A: $i] : ( ilf_type @ A @ set_type ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
thf(99,plain,
! [A: $i] : ( ilf_type @ A @ set_type ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(100,plain,
! [A: $i] : ( ilf_type @ A @ set_type ),
inference(cnf,[status(esa)],[99]) ).
thf(206,plain,
! [A: $i] :
( ~ $true
| ( member @ ( sk4 @ A ) @ A )
| ( empty @ A ) ),
inference(rewrite,[status(thm)],[38,100]) ).
thf(207,plain,
! [A: $i] :
( ( member @ ( sk4 @ A ) @ A )
| ( empty @ A ) ),
inference(simp,[status(thm)],[206]) ).
thf(1,conjecture,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( subset @ ( domain_of @ B ) @ A )
=> ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_9) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( subset @ ( domain_of @ B ) @ A )
=> ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(29,plain,
~ ! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( subset @ ( domain_of @ B ) @ A )
=> ( ilf_type @ B @ ( relation_type @ A @ ( range_of @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(32,plain,
ilf_type @ sk2 @ binary_relation_type,
inference(cnf,[status(esa)],[29]) ).
thf(13,axiom,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( subset @ A @ ( cross_product @ ( domain_of @ A ) @ ( range_of @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
thf(65,plain,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( subset @ A @ ( cross_product @ ( domain_of @ A ) @ ( range_of @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(66,plain,
! [A: $i] :
( ~ ( ilf_type @ A @ binary_relation_type )
| ( subset @ A @ ( cross_product @ ( domain_of @ A ) @ ( range_of @ A ) ) ) ),
inference(cnf,[status(esa)],[65]) ).
thf(150,plain,
! [A: $i] :
( ( subset @ A @ ( cross_product @ ( domain_of @ A ) @ ( range_of @ A ) ) )
| ( ( ilf_type @ sk2 @ binary_relation_type )
!= ( ilf_type @ A @ binary_relation_type ) ) ),
inference(paramod_ordered,[status(thm)],[32,66]) ).
thf(151,plain,
subset @ sk2 @ ( cross_product @ ( domain_of @ sk2 ) @ ( range_of @ sk2 ) ),
inference(pattern_uni,[status(thm)],[150:[bind(A,$thf( sk2 ))]]) ).
thf(9,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( subset @ A @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ A )
=> ( member @ C @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
thf(54,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ( subset @ A @ B )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ A )
=> ( member @ C @ B ) ) ) )
& ( ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ A )
=> ( member @ C @ B ) ) )
=> ( subset @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ~ ( ilf_type @ B @ set_type )
| ~ ( subset @ A @ B )
| ~ ( ilf_type @ C @ set_type )
| ~ ( member @ C @ A )
| ( member @ C @ B ) ),
inference(cnf,[status(esa)],[54]) ).
thf(161,plain,
! [C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ ( subset @ A @ B )
| ~ $true
| ~ ( member @ C @ A )
| ( member @ C @ B ) ),
inference(rewrite,[status(thm)],[58,100]) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( subset @ A @ B )
| ~ ( member @ C @ A )
| ( member @ C @ B ) ),
inference(simp,[status(thm)],[161]) ).
thf(37,plain,
! [B: $i,A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ~ ( empty @ A )
| ~ ( ilf_type @ B @ set_type )
| ~ ( member @ B @ A ) ),
inference(cnf,[status(esa)],[36]) ).
thf(142,plain,
! [B: $i,A: $i] :
( ~ $true
| ~ ( empty @ A )
| ~ $true
| ~ ( member @ B @ A ) ),
inference(rewrite,[status(thm)],[37,100]) ).
thf(143,plain,
! [B: $i,A: $i] :
( ~ ( empty @ A )
| ~ ( member @ B @ A ) ),
inference(simp,[status(thm)],[142]) ).
thf(165,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( subset @ A @ B )
| ~ ( member @ C @ A )
| ~ ( empty @ D )
| ( ( member @ C @ B )
!= ( member @ E @ D ) ) ),
inference(paramod_ordered,[status(thm)],[162,143]) ).
thf(166,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( subset @ A @ B )
| ~ ( member @ C @ A )
| ~ ( empty @ B ) ),
inference(pattern_uni,[status(thm)],[165:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( B )),bind(E,$thf( C ))]]) ).
thf(194,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ C @ A )
| ~ ( empty @ B )
| ( ( subset @ sk2 @ ( cross_product @ ( domain_of @ sk2 ) @ ( range_of @ sk2 ) ) )
!= ( subset @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[151,166]) ).
thf(195,plain,
! [A: $i] :
( ~ ( member @ A @ sk2 )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk2 ) @ ( range_of @ sk2 ) ) ) ),
inference(pattern_uni,[status(thm)],[194:[bind(A,$thf( sk2 )),bind(B,$thf( cross_product @ ( domain_of @ sk2 ) @ ( range_of @ sk2 ) )),bind(C,$thf( C ))]]) ).
thf(198,plain,
! [A: $i] :
( ~ ( member @ A @ sk2 )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk2 ) @ ( range_of @ sk2 ) ) ) ),
inference(simp,[status(thm)],[195]) ).
thf(259,plain,
! [B: $i,A: $i] :
( ( empty @ A )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk2 ) @ ( range_of @ sk2 ) ) )
| ( ( member @ ( sk4 @ A ) @ A )
!= ( member @ B @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[207,198]) ).
thf(260,plain,
( ( empty @ sk2 )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk2 ) @ ( range_of @ sk2 ) ) ) ),
inference(pattern_uni,[status(thm)],[259:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 @ sk2 ))]]) ).
thf(3,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ? [C: $i] : ( ilf_type @ C @ ( relation_type @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
thf(34,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ? [C: $i] : ( ilf_type @ C @ ( relation_type @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ~ ( ilf_type @ B @ set_type )
| ( ilf_type @ ( sk3 @ B @ A ) @ ( relation_type @ B @ A ) ) ),
inference(cnf,[status(esa)],[34]) ).
thf(126,plain,
! [B: $i,A: $i] :
( ~ $true
| ~ $true
| ( ilf_type @ ( sk3 @ B @ A ) @ ( relation_type @ B @ A ) ) ),
inference(rewrite,[status(thm)],[35,100]) ).
thf(127,plain,
! [B: $i,A: $i] : ( ilf_type @ ( sk3 @ B @ A ) @ ( relation_type @ B @ A ) ),
inference(simp,[status(thm)],[126]) ).
thf(30,plain,
~ ( ilf_type @ sk2 @ ( relation_type @ sk1 @ ( range_of @ sk2 ) ) ),
inference(cnf,[status(esa)],[29]) ).
thf(128,plain,
! [B: $i,A: $i] :
( ( ilf_type @ ( sk3 @ B @ A ) @ ( relation_type @ B @ A ) )
!= ( ilf_type @ sk2 @ ( relation_type @ sk1 @ ( range_of @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[127,30]) ).
thf(129,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ B @ A )
!= sk2 )
| ( ( relation_type @ B @ A )
!= ( relation_type @ sk1 @ ( range_of @ sk2 ) ) ) ),
inference(simp,[status(thm)],[128]) ).
thf(134,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ B @ A )
!= sk2 )
| ( B != sk1 )
| ( A
!= ( range_of @ sk2 ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(135,plain,
( ( sk3 @ sk1 @ ( range_of @ sk2 ) )
!= sk2 ),
inference(simp,[status(thm)],[134]) ).
thf(19,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ( ilf_type @ A @ binary_relation_type )
<=> ( ( relation_like @ A )
& ( ilf_type @ A @ set_type ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
thf(79,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ( ( ilf_type @ A @ binary_relation_type )
=> ( ( relation_like @ A )
& ( ilf_type @ A @ set_type ) ) )
& ( ( ( relation_like @ A )
& ( ilf_type @ A @ set_type ) )
=> ( ilf_type @ A @ binary_relation_type ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(15,axiom,
! [A: $i] :
( ( ( empty @ A )
& ( ilf_type @ A @ set_type ) )
=> ( relation_like @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
thf(69,plain,
! [A: $i] :
( ( ( empty @ A )
& ( ilf_type @ A @ set_type ) )
=> ( relation_like @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(27,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ( relation_like @ A )
<=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( member @ B @ A )
=> ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ? [D: $i] :
( ( ilf_type @ D @ set_type )
& ( B
= ( ordered_pair @ C @ D ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
thf(101,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ( ( relation_like @ A )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( member @ B @ A )
=> ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ? [D: $i] :
( ( ilf_type @ D @ set_type )
& ( B
= ( ordered_pair @ C @ D ) ) ) ) ) ) )
& ( ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( member @ B @ A )
=> ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ? [D: $i] :
( ( ilf_type @ D @ set_type )
& ( B
= ( ordered_pair @ C @ D ) ) ) ) ) )
=> ( relation_like @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(31,plain,
subset @ ( domain_of @ sk2 ) @ sk1,
inference(cnf,[status(esa)],[29]) ).
thf(173,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ C @ A )
| ( member @ C @ B )
| ( ( subset @ ( domain_of @ sk2 ) @ sk1 )
!= ( subset @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[31,162]) ).
thf(174,plain,
! [A: $i] :
( ~ ( member @ A @ ( domain_of @ sk2 ) )
| ( member @ A @ sk1 ) ),
inference(pattern_uni,[status(thm)],[173:[bind(A,$thf( domain_of @ sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( C ))]]) ).
thf(178,plain,
! [A: $i] :
( ~ ( member @ A @ ( domain_of @ sk2 ) )
| ( member @ A @ sk1 ) ),
inference(simp,[status(thm)],[174]) ).
thf(216,plain,
! [B: $i,A: $i] :
( ( empty @ A )
| ( member @ B @ sk1 )
| ( ( member @ ( sk4 @ A ) @ A )
!= ( member @ B @ ( domain_of @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[207,178]) ).
thf(217,plain,
( ( empty @ ( domain_of @ sk2 ) )
| ( member @ ( sk4 @ ( domain_of @ sk2 ) ) @ sk1 ) ),
inference(pattern_uni,[status(thm)],[216:[bind(A,$thf( domain_of @ sk2 )),bind(B,$thf( sk4 @ ( domain_of @ sk2 ) ))]]) ).
thf(5,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ilf_type @ B @ ( subset_type @ A ) )
<=> ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
thf(40,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ( ilf_type @ B @ ( subset_type @ A ) )
=> ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) ) )
& ( ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) )
=> ( ilf_type @ B @ ( subset_type @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ~ ( ilf_type @ B @ set_type )
| ~ ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) )
| ( ilf_type @ B @ ( subset_type @ A ) ) ),
inference(cnf,[status(esa)],[40]) ).
thf(268,plain,
! [B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) )
| ( ilf_type @ B @ ( subset_type @ A ) ) ),
inference(rewrite,[status(thm)],[41,100]) ).
thf(269,plain,
! [B: $i,A: $i] :
( ~ ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) )
| ( ilf_type @ B @ ( subset_type @ A ) ) ),
inference(simp,[status(thm)],[268]) ).
thf(8,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( subset @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
thf(52,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( subset @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(123,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
!= ( ilf_type @ sk2 @ ( relation_type @ sk1 @ ( range_of @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[100,30]) ).
thf(124,plain,
! [A: $i] :
( ( A != sk2 )
| ( ( relation_type @ sk1 @ ( range_of @ sk2 ) )
!= set_type ) ),
inference(simp,[status(thm)],[123]) ).
thf(125,plain,
( ( relation_type @ sk1 @ ( range_of @ sk2 ) )
!= set_type ),
inference(simp,[status(thm)],[124]) ).
thf(24,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ ( subset_type @ ( cross_product @ A @ B ) ) )
=> ( relation_like @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
thf(93,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ ( subset_type @ ( cross_product @ A @ B ) ) )
=> ( relation_like @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(23,axiom,
? [A: $i] : ( ilf_type @ A @ binary_relation_type ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
thf(91,plain,
? [A: $i] : ( ilf_type @ A @ binary_relation_type ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(92,plain,
ilf_type @ sk10 @ binary_relation_type,
inference(cnf,[status(esa)],[91]) ).
thf(271,plain,
! [B: $i,A: $i] :
( ( ilf_type @ B @ ( subset_type @ A ) )
| ( ( ilf_type @ sk10 @ binary_relation_type )
!= ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[92,269]) ).
thf(279,plain,
! [B: $i,A: $i] :
( ( ilf_type @ B @ ( subset_type @ A ) )
| ( sk10 != B )
| ( ( member_type @ ( power_set @ A ) )
!= binary_relation_type ) ),
inference(simp,[status(thm)],[271]) ).
thf(284,plain,
! [A: $i] :
( ( ilf_type @ sk10 @ ( subset_type @ A ) )
| ( ( member_type @ ( power_set @ A ) )
!= binary_relation_type ) ),
inference(simp,[status(thm)],[279]) ).
thf(117,plain,
( ( ilf_type @ sk2 @ ( relation_type @ sk1 @ ( range_of @ sk2 ) ) )
!= ( ilf_type @ sk2 @ binary_relation_type ) ),
inference(paramod_ordered,[status(thm)],[32,30]) ).
thf(120,plain,
( ( sk2 != sk2 )
| ( ( relation_type @ sk1 @ ( range_of @ sk2 ) )
!= binary_relation_type ) ),
inference(simp,[status(thm)],[117]) ).
thf(121,plain,
( ( relation_type @ sk1 @ ( range_of @ sk2 ) )
!= binary_relation_type ),
inference(simp,[status(thm)],[120]) ).
thf(20,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
thf(84,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(22,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ? [B: $i] : ( ilf_type @ B @ ( subset_type @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
thf(89,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ? [B: $i] : ( ilf_type @ B @ ( subset_type @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(90,plain,
! [A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ( ilf_type @ ( sk9 @ A ) @ ( subset_type @ A ) ) ),
inference(cnf,[status(esa)],[89]) ).
thf(144,plain,
! [A: $i] :
( ~ $true
| ( ilf_type @ ( sk9 @ A ) @ ( subset_type @ A ) ) ),
inference(rewrite,[status(thm)],[90,100]) ).
thf(145,plain,
! [A: $i] : ( ilf_type @ ( sk9 @ A ) @ ( subset_type @ A ) ),
inference(simp,[status(thm)],[144]) ).
thf(146,plain,
! [A: $i] :
( ( ilf_type @ ( sk9 @ A ) @ ( subset_type @ A ) )
!= ( ilf_type @ sk2 @ ( relation_type @ sk1 @ ( range_of @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[145,30]) ).
thf(147,plain,
! [A: $i] :
( ( ( sk9 @ A )
!= sk2 )
| ( ( subset_type @ A )
!= ( relation_type @ sk1 @ ( range_of @ sk2 ) ) ) ),
inference(simp,[status(thm)],[146]) ).
thf(11,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( ordered_pair @ A @ B ) @ set_type ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
thf(61,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( ordered_pair @ A @ B ) @ set_type ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(17,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ( ( ilf_type @ A @ ( member_type @ B ) )
<=> ( member @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
thf(74,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ( ( ( ilf_type @ A @ ( member_type @ B ) )
=> ( member @ A @ B ) )
& ( ( member @ A @ B )
=> ( ilf_type @ A @ ( member_type @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(187,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ C @ A )
| ~ ( empty @ B )
| ( ( subset @ ( domain_of @ sk2 ) @ sk1 )
!= ( subset @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[31,166]) ).
thf(188,plain,
! [A: $i] :
( ~ ( member @ A @ ( domain_of @ sk2 ) )
| ~ ( empty @ sk1 ) ),
inference(pattern_uni,[status(thm)],[187:[bind(A,$thf( domain_of @ sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( C ))]]) ).
thf(193,plain,
! [A: $i] :
( ~ ( member @ A @ ( domain_of @ sk2 ) )
| ~ ( empty @ sk1 ) ),
inference(simp,[status(thm)],[188]) ).
thf(208,plain,
! [B: $i,A: $i] :
( ( empty @ A )
| ~ ( empty @ sk1 )
| ( ( member @ ( sk4 @ A ) @ A )
!= ( member @ B @ ( domain_of @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[207,193]) ).
thf(209,plain,
( ( empty @ ( domain_of @ sk2 ) )
| ~ ( empty @ sk1 ) ),
inference(pattern_uni,[status(thm)],[208:[bind(A,$thf( domain_of @ sk2 )),bind(B,$thf( sk4 @ ( domain_of @ sk2 ) ))]]) ).
thf(21,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ~ ( empty @ ( power_set @ A ) )
& ( ilf_type @ ( power_set @ A ) @ set_type ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
thf(86,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ( ~ ( empty @ ( power_set @ A ) )
& ( ilf_type @ ( power_set @ A ) @ set_type ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(87,plain,
! [A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ~ ( empty @ ( power_set @ A ) ) ),
inference(cnf,[status(esa)],[86]) ).
thf(130,plain,
! [A: $i] :
( ~ $true
| ~ ( empty @ ( power_set @ A ) ) ),
inference(rewrite,[status(thm)],[87,100]) ).
thf(131,plain,
! [A: $i] :
~ ( empty @ ( power_set @ A ) ),
inference(simp,[status(thm)],[130]) ).
thf(226,plain,
! [A: $i] :
( ~ ( empty @ sk1 )
| ( ( empty @ ( power_set @ A ) )
!= ( empty @ ( domain_of @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[209,131]) ).
thf(229,plain,
! [A: $i] :
( ~ ( empty @ sk1 )
| ( ( power_set @ A )
!= ( domain_of @ sk2 ) ) ),
inference(simp,[status(thm)],[226]) ).
thf(18,axiom,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( ilf_type @ ( range_of @ A ) @ set_type ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
thf(77,plain,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( ilf_type @ ( range_of @ A ) @ set_type ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(148,plain,
! [A: $i] :
( ( subset @ A @ ( cross_product @ ( domain_of @ A ) @ ( range_of @ A ) ) )
| ( ( ilf_type @ sk10 @ binary_relation_type )
!= ( ilf_type @ A @ binary_relation_type ) ) ),
inference(paramod_ordered,[status(thm)],[92,66]) ).
thf(149,plain,
subset @ sk10 @ ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) ),
inference(pattern_uni,[status(thm)],[148:[bind(A,$thf( sk10 ))]]) ).
thf(183,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ C @ A )
| ~ ( empty @ B )
| ( ( subset @ sk10 @ ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) ) )
!= ( subset @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[149,166]) ).
thf(184,plain,
! [A: $i] :
( ~ ( member @ A @ sk10 )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) ) ) ),
inference(pattern_uni,[status(thm)],[183:[bind(A,$thf( sk10 )),bind(B,$thf( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) )),bind(C,$thf( C ))]]) ).
thf(191,plain,
! [A: $i] :
( ~ ( member @ A @ sk10 )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) ) ) ),
inference(simp,[status(thm)],[184]) ).
thf(10,axiom,
! [A: $i] :
( ( ~ ( empty @ A )
& ( ilf_type @ A @ set_type ) )
=> ? [B: $i] : ( ilf_type @ B @ ( member_type @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
thf(59,plain,
! [A: $i] :
( ( ~ ( empty @ A )
& ( ilf_type @ A @ set_type ) )
=> ? [B: $i] : ( ilf_type @ B @ ( member_type @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(272,plain,
! [B: $i,A: $i] :
( ( ilf_type @ B @ ( subset_type @ A ) )
| ( ( ilf_type @ sk2 @ binary_relation_type )
!= ( ilf_type @ B @ ( member_type @ ( power_set @ A ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[32,269]) ).
thf(276,plain,
! [B: $i,A: $i] :
( ( ilf_type @ B @ ( subset_type @ A ) )
| ( sk2 != B )
| ( ( member_type @ ( power_set @ A ) )
!= binary_relation_type ) ),
inference(simp,[status(thm)],[272]) ).
thf(281,plain,
! [A: $i] :
( ( ilf_type @ sk2 @ ( subset_type @ A ) )
| ( ( member_type @ ( power_set @ A ) )
!= binary_relation_type ) ),
inference(simp,[status(thm)],[276]) ).
thf(16,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( subset @ A @ B )
=> ( ( subset @ ( cross_product @ A @ C ) @ ( cross_product @ B @ C ) )
& ( subset @ ( cross_product @ C @ A ) @ ( cross_product @ C @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
thf(71,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( subset @ A @ B )
=> ( ( subset @ ( cross_product @ A @ C ) @ ( cross_product @ B @ C ) )
& ( subset @ ( cross_product @ C @ A ) @ ( cross_product @ C @ B ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(253,plain,
! [A: $i] :
( ~ ( empty @ sk1 )
| ~ ( member @ A @ sk10 )
| ( ( empty @ ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) ) )
!= ( empty @ ( domain_of @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[209,191]) ).
thf(255,plain,
! [A: $i] :
( ~ ( empty @ sk1 )
| ~ ( member @ A @ sk10 )
| ( ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) )
!= ( domain_of @ sk2 ) ) ),
inference(simp,[status(thm)],[253]) ).
thf(7,axiom,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( member @ B @ ( range_of @ A ) )
<=> ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ( member @ ( ordered_pair @ C @ B ) @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
thf(48,plain,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ( member @ B @ ( range_of @ A ) )
=> ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ( member @ ( ordered_pair @ C @ B ) @ A ) ) )
& ( ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ( member @ ( ordered_pair @ C @ B ) @ A ) )
=> ( member @ B @ ( range_of @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( cross_product @ A @ B ) @ set_type ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
thf(63,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( cross_product @ A @ B ) @ set_type ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(25,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ! [C: $i] :
( ( ilf_type @ C @ ( subset_type @ ( cross_product @ A @ B ) ) )
=> ( ilf_type @ C @ ( relation_type @ A @ B ) ) )
& ! [C: $i] :
( ( ilf_type @ C @ ( relation_type @ A @ B ) )
=> ( ilf_type @ C @ ( subset_type @ ( cross_product @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
thf(95,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ! [C: $i] :
( ( ilf_type @ C @ ( subset_type @ ( cross_product @ A @ B ) ) )
=> ( ilf_type @ C @ ( relation_type @ A @ B ) ) )
& ! [C: $i] :
( ( ilf_type @ C @ ( relation_type @ A @ B ) )
=> ( ilf_type @ C @ ( subset_type @ ( cross_product @ A @ B ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(14,axiom,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( ilf_type @ ( domain_of @ A ) @ set_type ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
thf(67,plain,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ( ilf_type @ ( domain_of @ A ) @ set_type ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( member @ A @ ( power_set @ B ) )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ A )
=> ( member @ C @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
thf(43,plain,
! [A: $i] :
( ( ilf_type @ A @ set_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ( member @ A @ ( power_set @ B ) )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ A )
=> ( member @ C @ B ) ) ) )
& ( ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ A )
=> ( member @ C @ B ) ) )
=> ( member @ A @ ( power_set @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(249,plain,
! [B: $i,A: $i] :
( ( empty @ A )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) ) )
| ( ( member @ ( sk4 @ A ) @ A )
!= ( member @ B @ sk10 ) ) ),
inference(paramod_ordered,[status(thm)],[207,191]) ).
thf(250,plain,
( ( empty @ sk10 )
| ~ ( empty @ ( cross_product @ ( domain_of @ sk10 ) @ ( range_of @ sk10 ) ) ) ),
inference(pattern_uni,[status(thm)],[249:[bind(A,$thf( sk10 )),bind(B,$thf( sk4 @ sk10 ))]]) ).
thf(53,plain,
! [A: $i] :
( ~ ( ilf_type @ A @ set_type )
| ( subset @ A @ A ) ),
inference(cnf,[status(esa)],[52]) ).
thf(138,plain,
! [A: $i] :
( ~ $true
| ( subset @ A @ A ) ),
inference(rewrite,[status(thm)],[53,100]) ).
thf(139,plain,
! [A: $i] : ( subset @ A @ A ),
inference(simp,[status(thm)],[138]) ).
thf(28,axiom,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( member @ B @ ( domain_of @ A ) )
<=> ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ( member @ ( ordered_pair @ B @ C ) @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
thf(111,plain,
! [A: $i] :
( ( ilf_type @ A @ binary_relation_type )
=> ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ( member @ B @ ( domain_of @ A ) )
=> ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ( member @ ( ordered_pair @ B @ C ) @ A ) ) )
& ( ? [C: $i] :
( ( ilf_type @ C @ set_type )
& ( member @ ( ordered_pair @ B @ C ) @ A ) )
=> ( member @ B @ ( domain_of @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(6608,plain,
$false,
inference(e,[status(thm)],[260,129,135,207,79,69,101,217,269,52,125,93,284,29,121,84,147,61,89,74,92,229,65,77,193,166,149,32,34,191,59,281,71,54,86,91,66,198,162,255,209,145,48,63,95,67,127,31,143,43,250,99,40,139,151,36,30,131,178,111,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n029.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 : Thu May 18 19:09:29 EDT 2023
% 0.16/0.36 % CPUTime :
% 1.00/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.07 % [INFO] Parsing done (169ms).
% 1.29/1.08 % [INFO] Running in sequential loop mode.
% 1.96/1.33 % [INFO] eprover registered as external prover.
% 1.96/1.34 % [INFO] cvc4 registered as external prover.
% 1.96/1.34 % [INFO] Scanning for conjecture ...
% 2.16/1.41 % [INFO] Found a conjecture and 26 axioms. Running axiom selection ...
% 2.16/1.47 % [INFO] Axiom selection finished. Selected 26 axioms (removed 0 axioms).
% 2.38/1.51 % [INFO] Problem is first-order (TPTP FOF).
% 2.38/1.52 % [INFO] Type checking passed.
% 2.38/1.52 % [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 ...
% 35.69/6.37 % External prover 'e' found a proof!
% 35.69/6.38 % [INFO] Killing All external provers ...
% 35.69/6.38 % Time passed: 5853ms (effective reasoning time: 5296ms)
% 35.69/6.38 % 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)>
% 35.69/6.38 % Axioms used in derivation (26): p12, p18, p15, p26, p3, p22, p11, p2, p17, p9, p1, p24, p13, p16, p20, p10, p19, p4, p7, p5, p23, p21, p25, p14, p6, p8
% 35.69/6.38 % No. of inferences in proof: 134
% 35.69/6.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5853 ms resp. 5296 ms w/o parsing
% 35.69/6.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 35.69/6.42 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------