TSTP Solution File: SET652+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET652+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1UX0wMPmrZ true
% Computer : n018.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 : Thu Aug 31 16:15:20 EDT 2023
% Result : Theorem 11.63s 2.33s
% Output : Refutation 11.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 33
% Syntax : Number of formulae : 113 ( 45 unt; 19 typ; 0 def)
% Number of atoms : 225 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 798 ( 74 ~; 74 |; 6 &; 593 @)
% ( 6 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 7 con; 0-2 aty)
% Number of variables : 145 ( 0 ^; 145 !; 0 ?; 145 :)
% Comments :
%------------------------------------------------------------------------------
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(prove_relset_1_14,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ D @ B ) )
=> ( ( subset @ ( range_of @ E ) @ C )
=> ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ D @ B ) )
=> ( ( subset @ ( range_of @ E ) @ C )
=> ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_14]) ).
thf(zip_derived_cl51,plain,
~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p18,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ B @ ( power_set @ C ) )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p18]) ).
thf(p26,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl52,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p6,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( subset @ ( domain_of @ D ) @ B )
& ( subset @ ( range_of @ D ) @ C ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( subset @ ( domain_of @ X1 ) @ X2 )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl47_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( domain_of @ X1 ) @ X2 )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl146,plain,
subset @ ( domain_of @ sk__14 ) @ sk__13,
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl80]) ).
thf(zip_derived_cl52_004,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
& ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl47_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl167,plain,
ilf_type @ sk__14 @ ( subset_type @ ( cross_product @ sk__13 @ sk__11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl90]) ).
thf(p23,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( relation_like @ D ) ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p23]) ).
thf(zip_derived_cl47_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl179,plain,
relation_like @ sk__14,
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl67]) ).
thf(p13,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ilf_type @ B @ binary_relation_type )
<=> ( ( relation_like @ B )
& ( ilf_type @ B @ set_type ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( relation_like @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p13]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl47_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl47]) ).
thf(zip_derived_cl181,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl65]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( subset @ B @ ( cross_product @ ( domain_of @ B ) @ ( range_of @ B ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( subset @ X0 @ ( cross_product @ ( domain_of @ X0 ) @ ( range_of @ X0 ) ) )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl182,plain,
subset @ sk__14 @ ( cross_product @ ( domain_of @ sk__14 ) @ ( range_of @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl1]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( ( subset @ B @ C )
& ( subset @ C @ D ) )
=> ( subset @ B @ D ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl47_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl47,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl197,plain,
! [X0: $i] :
( ~ ( subset @ ( cross_product @ ( domain_of @ sk__14 ) @ ( range_of @ sk__14 ) ) @ X0 )
| ( subset @ sk__14 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl54]) ).
thf(zip_derived_cl50,plain,
subset @ ( range_of @ sk__14 ) @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p3,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( ( subset @ B @ C )
& ( subset @ D @ E ) )
=> ( subset @ ( cross_product @ B @ D ) @ ( cross_product @ C @ E ) ) ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( subset @ ( cross_product @ X2 @ X3 ) @ ( cross_product @ X0 @ X1 ) )
| ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(zip_derived_cl47_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( cross_product @ X2 @ X3 ) @ ( cross_product @ X0 @ X1 ) )
| ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl47,zip_derived_cl47,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( cross_product @ X1 @ ( range_of @ sk__14 ) ) @ ( cross_product @ X0 @ sk__12 ) )
| ~ ( subset @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl75]) ).
thf(zip_derived_cl302,plain,
! [X0: $i] :
( ( subset @ sk__14 @ ( cross_product @ X0 @ sk__12 ) )
| ~ ( subset @ ( domain_of @ sk__14 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl127]) ).
thf(zip_derived_cl322,plain,
subset @ sk__14 @ ( cross_product @ sk__13 @ sk__12 ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl302]) ).
thf(p9,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( subset @ B @ C )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p9]) ).
thf(zip_derived_cl47_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl47,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl324,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__14 )
| ( member @ X0 @ ( cross_product @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl95]) ).
thf(zip_derived_cl397,plain,
! [X0: $i] :
( ( member @ sk__14 @ ( power_set @ X0 ) )
| ( member @ ( sk__5 @ X0 @ sk__14 ) @ ( cross_product @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl324]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl47_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl9787,plain,
( ( member @ sk__14 @ ( power_set @ ( cross_product @ sk__13 @ sk__12 ) ) )
| ( member @ sk__14 @ ( power_set @ ( cross_product @ sk__13 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl94]) ).
thf(zip_derived_cl9789,plain,
member @ sk__14 @ ( power_set @ ( cross_product @ sk__13 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9787]) ).
thf(p20,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ( ( ilf_type @ B @ ( member_type @ C ) )
<=> ( member @ B @ C ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl47_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl47,zip_derived_cl47]) ).
thf(p24,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl47_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl103,zip_derived_cl56]) ).
thf(zip_derived_cl9791,plain,
ilf_type @ sk__14 @ ( member_type @ ( power_set @ ( cross_product @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9789,zip_derived_cl104]) ).
thf(p15,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ilf_type @ C @ ( subset_type @ B ) )
<=> ( ilf_type @ C @ ( member_type @ ( power_set @ B ) ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p15]) ).
thf(zip_derived_cl47_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_027,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl9799,plain,
ilf_type @ sk__14 @ ( subset_type @ ( cross_product @ sk__13 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9791,zip_derived_cl89]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl47_028,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl47_029,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl47,zip_derived_cl47]) ).
thf(zip_derived_cl9805,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__12 ),
inference('s_sup-',[status(thm)],[zip_derived_cl9799,zip_derived_cl100]) ).
thf(zip_derived_cl9807,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl9805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET652+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1UX0wMPmrZ true
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:41:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.63/2.33 % Solved by fo/fo13.sh.
% 11.63/2.33 % done 1302 iterations in 1.548s
% 11.63/2.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.63/2.33 % SZS output start Refutation
% See solution above
% 11.63/2.33
% 11.63/2.33
% 11.63/2.33 % Terminating...
% 11.63/2.44 % Runner terminated.
% 11.63/2.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------