%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET667+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.baN5b7zNL0 true
% 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 : Thu Oct 2 04:52:37 PM UTC 2025
% Result : Theorem 0.50s 0.86s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 84 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 206 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 769 ( 84 ~; 80 |; 5 &; 563 @)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 121 ( 0 ^; 121 !; 0 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(identity_relation_of_type,type,
identity_relation_of: $i > $i ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(member_type,type,
member: $i > $i > $o ).
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_cl24,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_cl576,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(p31,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl577,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl57]) ).
thf(p27,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( domain @ B @ C @ D )
= ( domain_of @ D ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl57_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl1195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl57,zip_derived_cl57]) ).
thf(p29,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( range @ B @ C @ D )
= ( range_of @ D ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl57_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl1281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl57,zip_derived_cl57]) ).
thf(prove_relset_1_30,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 @ B @ C ) )
=> ( ( subset @ ( identity_relation_of @ D ) @ E )
=> ( ( subset @ D @ ( domain @ B @ C @ E ) )
& ( subset @ D @ ( range @ B @ C @ E ) ) ) ) ) ) ) ) ).
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 @ B @ C ) )
=> ( ( subset @ ( identity_relation_of @ D ) @ E )
=> ( ( subset @ D @ ( domain @ B @ C @ E ) )
& ( subset @ D @ ( range @ B @ C @ E ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_30]) ).
thf(zip_derived_cl61,plain,
( ~ ( subset @ sk__14 @ ( domain @ sk__12 @ sk__13 @ sk__15 ) )
| ~ ( subset @ sk__14 @ ( range @ sk__12 @ sk__13 @ sk__15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1282,plain,
( ~ ( subset @ sk__14 @ ( range_of @ sk__15 ) )
| ~ ( ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ) )
| ~ ( subset @ sk__14 @ ( domain @ sk__12 @ sk__13 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1281,zip_derived_cl61]) ).
thf(zip_derived_cl62,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1283,plain,
( ~ ( subset @ sk__14 @ ( range_of @ sk__15 ) )
| ~ ( subset @ sk__14 @ ( domain @ sk__12 @ sk__13 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1282,zip_derived_cl62]) ).
thf(zip_derived_cl1292,plain,
( ~ ( subset @ sk__14 @ ( domain_of @ sk__15 ) )
| ~ ( ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ) )
| ~ ( subset @ sk__14 @ ( range_of @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1195,zip_derived_cl1283]) ).
thf(zip_derived_cl62_005,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1297,plain,
( ~ ( subset @ sk__14 @ ( domain_of @ sk__15 ) )
| ~ ( subset @ sk__14 @ ( range_of @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1292,zip_derived_cl62]) ).
thf(p7,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] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p7]) ).
thf(zip_derived_cl57_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl815,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl60,plain,
subset @ ( identity_relation_of @ sk__14 ) @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,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)],[p7]) ).
thf(zip_derived_cl57_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl57,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl660,plain,
! [X0: $i] :
( ( member @ X0 @ sk__15 )
| ~ ( member @ X0 @ ( identity_relation_of @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl658]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ B )
<=> ( member @ ( ordered_pair @ C @ C ) @ ( identity_relation_of @ B ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X0 @ X1 )
| ( member @ ( ordered_pair @ X0 @ X0 ) @ ( identity_relation_of @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl57_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl580,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ ( ordered_pair @ X0 @ X0 ) @ ( identity_relation_of @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl661,plain,
! [X0: $i] :
( ( member @ ( ordered_pair @ X0 @ X0 ) @ sk__15 )
| ~ ( member @ X0 @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl660,zip_derived_cl580]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ binary_relation_type )
=> ( ( member @ ( ordered_pair @ B @ C ) @ D )
=> ( ( member @ B @ ( domain_of @ D ) )
& ( member @ C @ ( range_of @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X2 )
| ( member @ X0 @ ( range_of @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl57_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X2 )
| ( member @ X0 @ ( range_of @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl677,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__14 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( member @ X0 @ ( range_of @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl567]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p7]) ).
thf(zip_derived_cl57_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl593,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl767,plain,
! [X0: $i] :
( ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ~ ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ X0 ) @ sk__14 )
| ( subset @ X0 @ ( range_of @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl593]) ).
thf(zip_derived_cl926,plain,
( ( subset @ sk__14 @ ( range_of @ sk__15 ) )
| ( subset @ sk__14 @ ( range_of @ sk__15 ) )
| ~ ( ilf_type @ sk__15 @ binary_relation_type ) ),
inference('sup-',[status(thm)],[zip_derived_cl815,zip_derived_cl767]) ).
thf(zip_derived_cl927,plain,
( ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( subset @ sk__14 @ ( range_of @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl926]) ).
thf(zip_derived_cl1306,plain,
( ~ ( subset @ sk__14 @ ( domain_of @ sk__15 ) )
| ~ ( ilf_type @ sk__15 @ binary_relation_type ) ),
inference('sup+',[status(thm)],[zip_derived_cl1297,zip_derived_cl927]) ).
thf(zip_derived_cl661_017,plain,
! [X0: $i] :
( ( member @ ( ordered_pair @ X0 @ X0 ) @ sk__15 )
| ~ ( member @ X0 @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl660,zip_derived_cl580]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X2 )
| ( member @ X1 @ ( domain_of @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl57_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X2 )
| ( member @ X1 @ ( domain_of @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl676,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__14 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( member @ X0 @ ( domain_of @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl557]) ).
thf(zip_derived_cl593_020,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl752,plain,
! [X0: $i] :
( ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ~ ( member @ ( sk__1 @ ( domain_of @ sk__15 ) @ X0 ) @ sk__14 )
| ( subset @ X0 @ ( domain_of @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl676,zip_derived_cl593]) ).
thf(zip_derived_cl815_021,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl835,plain,
( ( subset @ sk__14 @ ( domain_of @ sk__15 ) )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( subset @ sk__14 @ ( domain_of @ sk__15 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl752,zip_derived_cl815]) ).
thf(zip_derived_cl837,plain,
( ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( subset @ sk__14 @ ( domain_of @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl835]) ).
thf(zip_derived_cl1320,plain,
~ ( ilf_type @ sk__15 @ binary_relation_type ),
inference(clc,[status(thm)],[zip_derived_cl1306,zip_derived_cl837]) ).
thf(zip_derived_cl1322,plain,
~ ( relation_like @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl1320]) ).
thf(p5,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_cl8,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)],[p5]) ).
thf(zip_derived_cl57_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl774,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_cl8,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl62_024,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl775,plain,
ilf_type @ sk__15 @ ( subset_type @ ( cross_product @ sk__12 @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl774,zip_derived_cl62]) ).
thf(p24,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_cl48,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)],[p24]) ).
thf(zip_derived_cl57_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl57_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p31]) ).
thf(zip_derived_cl597,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_cl48,zip_derived_cl57,zip_derived_cl57]) ).
thf(zip_derived_cl777,plain,
relation_like @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl775,zip_derived_cl597]) ).
thf(zip_derived_cl1323,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1322,zip_derived_cl777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET667+3 : TPTP v9.2.0. Released v2.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.baN5b7zNL0 true
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 13:20:53 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.47/0.59 % Total configuration time : 435
% 0.47/0.59 % Estimated wc time : 1092
% 0.47/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.86 % Solved by fo/fo3_bce.sh.
% 0.50/0.86 % BCE start: 64
% 0.50/0.86 % BCE eliminated: 0
% 0.50/0.86 % PE start: 64
% 0.50/0.86 logic: eq
% 0.50/0.86 % PE eliminated: -7
% 0.50/0.86 % done 240 iterations in 0.123s
% 0.50/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.86 % SZS output start Refutation
% See solution above
% 0.50/0.86
% 0.50/0.86
% 0.50/0.86 % Terminating...
% 1.51/1.02 % Runner terminated.
% 1.55/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------