%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET671+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tlZU8bsu05 true
% Computer : n025.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 04:52:38 PM UTC 2025
% Result : Theorem 39.71s 6.28s
% Output : Refutation 39.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 113 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 286 ( 30 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1265 ( 108 ~; 118 |; 4 &; 984 @)
% ( 5 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 203 ( 0 ^; 203 !; 0 ?; 203 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_type_type,type,
set_type: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(restrict4_type,type,
restrict4: $i > $i > $i > $i > $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(restrict_type,type,
restrict: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(p9,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ilf_type @ ( restrict @ B @ C ) @ binary_relation_type ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ ( restrict @ X1 @ X0 ) @ binary_relation_type )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p9]) ).
thf(p27,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl686,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ ( restrict @ X1 @ X0 ) @ binary_relation_type )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl53]) ).
thf(prove_relset_1_34,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 @ C @ B ) )
=> ( ( subset @ C @ D )
=> ( ( restrict4 @ C @ B @ E @ D )
= 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 @ C @ B ) )
=> ( ( subset @ C @ D )
=> ( ( restrict4 @ C @ B @ E @ D )
= E ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_34]) ).
thf(zip_derived_cl58,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__12 ),
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_cl11,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_cl53_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl722,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_cl11,zip_derived_cl53,zip_derived_cl53]) ).
thf(p22,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_cl46,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)],[p22]) ).
thf(zip_derived_cl53_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl671,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_cl46,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl671]) ).
thf(zip_derived_cl728,plain,
relation_like @ sk__15,
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl723]) ).
thf(p10,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_cl21,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)],[p10]) ).
thf(zip_derived_cl660,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl53_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl661,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl53]) ).
thf(zip_derived_cl729,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl661]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ! [C: $i] :
( ( ilf_type @ C @ binary_relation_type )
=> ( ( B = C )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( member @ ( ordered_pair @ D @ E ) @ B )
<=> ( member @ ( ordered_pair @ D @ E ) @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
| ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
| ( X1 = X0 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl735,plain,
! [X0: $i] :
( ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ X0 ) @ ( sk__1 @ sk__15 @ X0 ) ) @ X0 )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ X0 ) @ ( sk__1 @ sk__15 @ X0 ) ) @ sk__15 )
| ( X0 = sk__15 )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl4]) ).
thf(zip_derived_cl890,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ X1 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ X1 @ X0 ) ) ) @ ( restrict @ X1 @ X0 ) )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ X1 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ X1 @ X0 ) ) ) @ sk__15 )
| ( ( restrict @ X1 @ X0 )
= sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl735]) ).
thf(zip_derived_cl58_006,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p25,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( restrict4 @ B @ C @ D @ E )
= ( restrict @ D @ E ) ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ( restrict4 @ X3 @ X0 @ X2 @ X1 )
= ( restrict @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( restrict4 @ X3 @ X0 @ X2 @ X1 )
= ( restrict @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(p26,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ilf_type @ ( restrict4 @ B @ C @ D @ E ) @ ( relation_type @ B @ C ) ) ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ilf_type @ ( restrict4 @ X2 @ X0 @ X3 @ X1 ) @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X3 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p26]) ).
thf(zip_derived_cl53_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ilf_type @ ( restrict4 @ X2 @ X0 @ X3 @ X1 ) @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X3 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X3 @ X2 ) )
| ( ilf_type @ ( restrict @ X1 @ X0 ) @ ( relation_type @ X3 @ X2 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X3 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl811,zip_derived_cl815]) ).
thf(zip_derived_cl820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ilf_type @ ( restrict @ X1 @ X0 ) @ ( relation_type @ X3 @ X2 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X3 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl819]) ).
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 )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ B @ C ) )
=> ( ( member @ ( ordered_pair @ D @ E ) @ F )
=> ( ( member @ D @ B )
& ( member @ E @ C ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ X2 @ X3 )
| ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X4 )
| ~ ( ilf_type @ X4 @ ( relation_type @ X3 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(zip_derived_cl53_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( member @ X2 @ X3 )
| ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X4 )
| ~ ( ilf_type @ X4 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ilf_type @ X3 @ ( relation_type @ X1 @ X0 ) )
| ( member @ X4 @ X1 )
| ~ ( member @ ( ordered_pair @ X4 @ X5 ) @ ( restrict @ X3 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl708]) ).
thf(zip_derived_cl960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ sk__13 )
| ~ ( member @ ( ordered_pair @ X0 @ X2 ) @ ( restrict @ sk__15 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl929]) ).
thf(zip_derived_cl1154,plain,
! [X0: $i] :
( ( ( restrict @ sk__15 @ X0 )
= sk__15 )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ sk__15 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl890,zip_derived_cl960]) ).
thf(zip_derived_cl729_017,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl661]) ).
thf(zip_derived_cl1163,plain,
! [X0: $i] :
( ( ( restrict @ sk__15 @ X0 )
= sk__15 )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ sk__15 )
| ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1154,zip_derived_cl729]) ).
thf(zip_derived_cl58_018,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl708_019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( member @ X2 @ X3 )
| ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X4 )
| ~ ( ilf_type @ X4 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl709,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ sk__13 )
| ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl708]) ).
thf(zip_derived_cl4876,plain,
! [X0: $i] :
( ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ sk__13 )
| ( ( restrict @ sk__15 @ X0 )
= sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl1163,zip_derived_cl709]) ).
thf(zip_derived_cl56,plain,
subset @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p6,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_cl14,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)],[p6]) ).
thf(zip_derived_cl602,plain,
! [X0: $i] :
( ~ ( ilf_type @ sk__13 @ set_type )
| ~ ( ilf_type @ X0 @ set_type )
| ( member @ X0 @ sk__14 )
| ~ ( member @ X0 @ sk__13 )
| ~ ( ilf_type @ sk__14 @ set_type ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl56,zip_derived_cl14]) ).
thf(zip_derived_cl53_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl657,plain,
! [X0: $i] :
( ( member @ X0 @ sk__14 )
| ~ ( member @ X0 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl602,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(p2,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 @ binary_relation_type )
=> ( ( member @ ( ordered_pair @ C @ D ) @ ( restrict @ E @ B ) )
<=> ( ( member @ C @ B )
& ( member @ ( ordered_pair @ C @ D ) @ E ) ) ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ ( ordered_pair @ X0 @ X3 ) @ X1 )
| ( member @ ( ordered_pair @ X0 @ X3 ) @ ( restrict @ X1 @ X2 ) )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl53_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ ( ordered_pair @ X0 @ X3 ) @ X1 )
| ( member @ ( ordered_pair @ X0 @ X3 ) @ ( restrict @ X1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl58_026,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl820_027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ilf_type @ ( restrict @ X1 @ X0 ) @ ( relation_type @ X3 @ X2 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X3 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl819]) ).
thf(zip_derived_cl723_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl671]) ).
thf(zip_derived_cl931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X3 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ ( restrict @ X3 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl723]) ).
thf(zip_derived_cl940,plain,
! [X0: $i] : ( relation_like @ ( restrict @ sk__15 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl931]) ).
thf(zip_derived_cl661_029,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl53]) ).
thf(zip_derived_cl941,plain,
! [X0: $i] : ( ilf_type @ ( restrict @ sk__15 @ X0 ) @ binary_relation_type ),
inference('s_sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl661]) ).
thf(zip_derived_cl729_030,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl661]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
| ~ ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
| ( X1 = X0 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl734,plain,
! [X0: $i] :
( ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ X0 ) @ ( sk__1 @ sk__15 @ X0 ) ) @ X0 )
| ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ X0 ) @ ( sk__1 @ sk__15 @ X0 ) ) @ sk__15 )
| ( X0 = sk__15 )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl3]) ).
thf(zip_derived_cl945,plain,
! [X0: $i] :
( ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ ( restrict @ sk__15 @ X0 ) )
| ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ sk__15 )
| ( ( restrict @ sk__15 @ X0 )
= sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl941,zip_derived_cl734]) ).
thf(zip_derived_cl729_031,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl661]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X0 @ X2 ) @ ( restrict @ X1 @ X3 ) )
| ( member @ ( ordered_pair @ X0 @ X2 ) @ X1 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl53_032,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_033,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_034,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X0 @ X2 ) @ ( restrict @ X1 @ X3 ) )
| ( member @ ( ordered_pair @ X0 @ X2 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ ( restrict @ sk__15 @ X0 ) )
| ( member @ ( ordered_pair @ X2 @ X1 ) @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl683]) ).
thf(zip_derived_cl1461,plain,
! [X0: $i] :
( ( ( restrict @ sk__15 @ X0 )
= sk__15 )
| ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ ( restrict @ sk__15 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl945,zip_derived_cl738]) ).
thf(zip_derived_cl1462,plain,
! [X0: $i] :
( ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ sk__15 )
| ~ ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ X0 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( ( restrict @ sk__15 @ X0 )
= sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl1461]) ).
thf(zip_derived_cl729_035,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl661]) ).
thf(zip_derived_cl1464,plain,
! [X0: $i] :
( ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ sk__15 )
| ~ ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ X0 )
| ( ( restrict @ sk__15 @ X0 )
= sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1462,zip_derived_cl729]) ).
thf(zip_derived_cl941_036,plain,
! [X0: $i] : ( ilf_type @ ( restrict @ sk__15 @ X0 ) @ binary_relation_type ),
inference('s_sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl661]) ).
thf(zip_derived_cl735_037,plain,
! [X0: $i] :
( ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ X0 ) @ ( sk__1 @ sk__15 @ X0 ) ) @ X0 )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ X0 ) @ ( sk__1 @ sk__15 @ X0 ) ) @ sk__15 )
| ( X0 = sk__15 )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl4]) ).
thf(zip_derived_cl946,plain,
! [X0: $i] :
( ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ ( restrict @ sk__15 @ X0 ) )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ sk__15 )
| ( ( restrict @ sk__15 @ X0 )
= sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl941,zip_derived_cl735]) ).
thf(zip_derived_cl1461_038,plain,
! [X0: $i] :
( ( ( restrict @ sk__15 @ X0 )
= sk__15 )
| ~ ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ ( restrict @ sk__15 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl945,zip_derived_cl738]) ).
thf(zip_derived_cl1483,plain,
! [X0: $i] :
( ( ( restrict @ sk__15 @ X0 )
= sk__15 )
| ( member @ ( ordered_pair @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ ( sk__1 @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) ) @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl946,zip_derived_cl1461]) ).
thf(zip_derived_cl21233,plain,
! [X0: $i] :
( ( ( restrict @ sk__15 @ X0 )
= sk__15 )
| ~ ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ X0 ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1464,zip_derived_cl1483]) ).
thf(zip_derived_cl21237,plain,
( ~ ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ sk__14 ) ) @ sk__13 )
| ( ( restrict @ sk__15 @ sk__14 )
= sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl657,zip_derived_cl21233]) ).
thf(zip_derived_cl811_039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( restrict4 @ X3 @ X0 @ X2 @ X1 )
= ( restrict @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl57,plain,
( ( restrict4 @ sk__13 @ sk__12 @ sk__15 @ sk__14 )
!= sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl812,plain,
( ~ ( ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__12 ) )
| ( ( restrict @ sk__15 @ sk__14 )
!= sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl811,zip_derived_cl57]) ).
thf(zip_derived_cl58_040,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl813,plain,
( ( restrict @ sk__15 @ sk__14 )
!= sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl58]) ).
thf(zip_derived_cl21239,plain,
~ ( member @ ( sk_ @ sk__15 @ ( restrict @ sk__15 @ sk__14 ) ) @ sk__13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21237,zip_derived_cl813]) ).
thf(zip_derived_cl21241,plain,
( ( restrict @ sk__15 @ sk__14 )
= sk__15 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4876,zip_derived_cl21239]) ).
thf(zip_derived_cl813_041,plain,
( ( restrict @ sk__15 @ sk__14 )
!= sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl58]) ).
thf(zip_derived_cl21242,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21241,zip_derived_cl813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET671+3 : TPTP v9.2.0. Released v2.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tlZU8bsu05 true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 13:03:23 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 39.71/6.28 % Solved by fo/fo6_bce.sh.
% 39.71/6.28 % BCE start: 60
% 39.71/6.28 % BCE eliminated: 2
% 39.71/6.28 % PE start: 58
% 39.71/6.28 logic: eq
% 39.71/6.28 % PE eliminated: 2
% 39.71/6.28 % done 1305 iterations in 5.541s
% 39.71/6.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 39.71/6.28 % SZS output start Refutation
% See solution above
% 39.71/6.28
% 39.71/6.28
% 39.71/6.28 % Terminating...
% 40.15/6.36 % Runner terminated.
% 40.15/6.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------