%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET644+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.llUUKItNe0 true
% Computer : n014.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 04:52:33 PM UTC 2025
% Result : Theorem 1.39s 0.86s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 205 ( 12 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 714 ( 80 ~; 71 |; 14 &; 511 @)
% ( 5 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 125 ( 0 ^; 119 !; 6 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(prove_relset_1_6,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 ) )
=> ( ( member @ D @ E )
=> ? [F: $i] :
( ? [G: $i] :
( ( member @ G @ C )
& ( member @ F @ B )
& ( D
= ( ordered_pair @ F @ G ) )
& ( ilf_type @ G @ set_type ) )
& ( ilf_type @ F @ set_type ) ) ) ) ) ) ) ).
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 ) )
=> ( ( member @ D @ E )
=> ? [F: $i] :
( ? [G: $i] :
( ( member @ G @ C )
& ( member @ F @ B )
& ( D
= ( ordered_pair @ F @ G ) )
& ( ilf_type @ G @ set_type ) )
& ( ilf_type @ F @ set_type ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_6]) ).
thf(zip_derived_cl60,plain,
member @ sk__15 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p23,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( relation_like @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ B )
=> ? [D: $i] :
( ? [E: $i] :
( ( C
= ( ordered_pair @ D @ E ) )
& ( ilf_type @ E @ set_type ) )
& ( ilf_type @ D @ set_type ) ) ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( relation_like @ X0 )
| ~ ( member @ X1 @ X0 )
| ( X1
= ( ordered_pair @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) ) )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p23]) ).
thf(p27,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl56,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl690,plain,
! [X0: $i,X1: $i] :
( ~ ( relation_like @ X0 )
| ~ ( member @ X1 @ X0 )
| ( X1
= ( ordered_pair @ ( sk__10 @ X1 ) @ ( sk__11 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl695,plain,
( ( sk__15
= ( ordered_pair @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) )
| ~ ( relation_like @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl690]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( sk__15
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( member @ X0 @ sk__14 )
| ~ ( member @ X1 @ sk__13 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl608,plain,
! [X0: $i,X1: $i] :
( ( sk__15
!= ( ordered_pair @ X1 @ X0 ) )
| ~ ( member @ X0 @ sk__14 )
| ~ ( member @ X1 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl700,plain,
( ( sk__15 != sk__15 )
| ~ ( relation_like @ sk__16 )
| ~ ( member @ ( sk__10 @ sk__15 ) @ sk__13 )
| ~ ( member @ ( sk__11 @ sk__15 ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl608]) ).
thf(zip_derived_cl702,plain,
( ~ ( member @ ( sk__11 @ sk__15 ) @ sk__14 )
| ~ ( member @ ( sk__10 @ sk__15 ) @ sk__13 )
| ~ ( relation_like @ sk__16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl700]) ).
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_cl9,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_cl56_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl705,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_cl9,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl61,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl706,plain,
ilf_type @ sk__16 @ ( subset_type @ ( cross_product @ sk__13 @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl705,zip_derived_cl61]) ).
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_cl51,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_cl56_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl627,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_cl51,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl708,plain,
relation_like @ sk__16,
inference('sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl627]) ).
thf(zip_derived_cl713,plain,
( ~ ( member @ ( sk__11 @ sk__15 ) @ sk__14 )
| ~ ( member @ ( sk__10 @ sk__15 ) @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl708]) ).
thf(zip_derived_cl695_008,plain,
( ( sk__15
= ( ordered_pair @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) )
| ~ ( relation_like @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl690]) ).
thf(zip_derived_cl708_009,plain,
relation_like @ sk__16,
inference('sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl627]) ).
thf(zip_derived_cl711,plain,
( sk__15
= ( ordered_pair @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl708]) ).
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 @ set_type )
=> ( ( member @ ( ordered_pair @ B @ C ) @ ( cross_product @ D @ E ) )
<=> ( ( member @ B @ D )
& ( member @ C @ E ) ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X0 @ X1 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl56_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl715,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ sk__15 @ ( cross_product @ X1 @ X0 ) )
| ( member @ ( sk__11 @ sk__15 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl620]) ).
thf(zip_derived_cl706_014,plain,
ilf_type @ sk__16 @ ( subset_type @ ( cross_product @ sk__13 @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl705,zip_derived_cl61]) ).
thf(p14,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_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p14]) ).
thf(zip_derived_cl56_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl653,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl56,zip_derived_cl56]) ).
thf(p21,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_cl43,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p21]) ).
thf(p20,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl524,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ set_type )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) )
| ~ ( ilf_type @ ( power_set @ X0 ) @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl56_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl1112,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl524,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56]) ).
thf(p19,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_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl56_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl1118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) )
| ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1112,zip_derived_cl671]) ).
thf(zip_derived_cl1159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl653,zip_derived_cl1118]) ).
thf(zip_derived_cl1168,plain,
! [X0: $i] :
( ( member @ X0 @ ( cross_product @ sk__13 @ sk__14 ) )
| ~ ( member @ X0 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl1159]) ).
thf(zip_derived_cl1212,plain,
( ( member @ ( sk__11 @ sk__15 ) @ sk__14 )
| ~ ( member @ sk__15 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl715,zip_derived_cl1168]) ).
thf(zip_derived_cl60_023,plain,
member @ sk__15 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1218,plain,
member @ ( sk__11 @ sk__15 ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl1212,zip_derived_cl60]) ).
thf(zip_derived_cl1249,plain,
~ ( member @ ( sk__10 @ sk__15 ) @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl713,zip_derived_cl1218]) ).
thf(zip_derived_cl711_024,plain,
( sk__15
= ( ordered_pair @ ( sk__10 @ sk__15 ) @ ( sk__11 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl695,zip_derived_cl708]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X2 @ X3 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl56_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_027,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl56_028,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X2 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56,zip_derived_cl56]) ).
thf(zip_derived_cl716,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ sk__15 @ ( cross_product @ X1 @ X0 ) )
| ( member @ ( sk__10 @ sk__15 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl636]) ).
thf(zip_derived_cl1168_029,plain,
! [X0: $i] :
( ( member @ X0 @ ( cross_product @ sk__13 @ sk__14 ) )
| ~ ( member @ X0 @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl1159]) ).
thf(zip_derived_cl1213,plain,
( ( member @ ( sk__10 @ sk__15 ) @ sk__13 )
| ~ ( member @ sk__15 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl716,zip_derived_cl1168]) ).
thf(zip_derived_cl60_030,plain,
member @ sk__15 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1219,plain,
member @ ( sk__10 @ sk__15 ) @ sk__13,
inference(demod,[status(thm)],[zip_derived_cl1213,zip_derived_cl60]) ).
thf(zip_derived_cl1268,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1249,zip_derived_cl1219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET644+3 : TPTP v9.2.0. Released v2.2.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.llUUKItNe0 true
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 13:18:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.17/0.31 % Running in FO mode
% 0.51/0.54 % Total configuration time : 435
% 0.51/0.54 % Estimated wc time : 1092
% 0.51/0.54 % Estimated cpu time (7 cpus) : 156.0
% 1.09/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.09/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.39/0.86 % Solved by fo/fo3_bce.sh.
% 1.39/0.86 % BCE start: 63
% 1.39/0.86 % BCE eliminated: 0
% 1.39/0.86 % PE start: 63
% 1.39/0.86 logic: eq
% 1.39/0.86 % PE eliminated: -7
% 1.39/0.86 % done 198 iterations in 0.193s
% 1.39/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/0.86 % SZS output start Refutation
% See solution above
% 1.39/0.86
% 1.39/0.86
% 1.39/0.86 % Terminating...
% 1.68/0.96 % Runner terminated.
% 1.82/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------