TSTP Solution File: SET684+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.18ApYq7gLN true
% Computer : n022.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 16:15:35 EDT 2023
% Result : Theorem 1.89s 0.97s
% Output : Refutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of formulae : 132 ( 46 unt; 22 typ; 0 def)
% Number of atoms : 320 ( 4 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1485 ( 164 ~; 129 |; 16 &;1111 @)
% ( 6 <=>; 41 =>; 18 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 11 con; 0-5 aty)
% Number of variables : 176 ( 0 ^; 173 !; 3 ?; 176 :)
% Comments :
%------------------------------------------------------------------------------
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(compose5_type,type,
compose5: $i > $i > $i > $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(compose_type,type,
compose: $i > $i > $i ).
thf(prove_relset_1_51,conjecture,
! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ! [D: $i] :
( ( ~ ( empty @ D )
& ( ilf_type @ D @ set_type ) )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ C @ D ) )
=> ! [G: $i] :
( ( ilf_type @ G @ ( member_type @ B ) )
=> ! [H: $i] :
( ( ilf_type @ H @ ( member_type @ D ) )
=> ( ( member @ ( ordered_pair @ G @ H ) @ ( compose5 @ B @ C @ D @ E @ F ) )
<=> ? [I: $i] :
( ( member @ ( ordered_pair @ I @ H ) @ F )
& ( member @ ( ordered_pair @ G @ I ) @ E )
& ( ilf_type @ I @ ( member_type @ C ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ! [D: $i] :
( ( ~ ( empty @ D )
& ( ilf_type @ D @ set_type ) )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ C @ D ) )
=> ! [G: $i] :
( ( ilf_type @ G @ ( member_type @ B ) )
=> ! [H: $i] :
( ( ilf_type @ H @ ( member_type @ D ) )
=> ( ( member @ ( ordered_pair @ G @ H ) @ ( compose5 @ B @ C @ D @ E @ F ) )
<=> ? [I: $i] :
( ( member @ ( ordered_pair @ I @ H ) @ F )
& ( member @ ( ordered_pair @ G @ I ) @ E )
& ( ilf_type @ I @ ( member_type @ C ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_51]) ).
thf(zip_derived_cl61,plain,
( ( member @ ( ordered_pair @ sk__18 @ sk__17 ) @ sk__15 )
| ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
( ( member @ ( ordered_pair @ sk__18 @ sk__17 ) @ sk__15 )
<= ( member @ ( ordered_pair @ sk__18 @ sk__17 ) @ sk__15 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
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 )
=> ! [E: $i] :
( ( ilf_type @ E @ binary_relation_type )
=> ( ( member @ ( ordered_pair @ B @ C ) @ ( compose @ D @ E ) )
<=> ? [F: $i] :
( ( member @ ( ordered_pair @ F @ C ) @ E )
& ( member @ ( ordered_pair @ B @ F ) @ D )
& ( ilf_type @ F @ set_type ) ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ X1 )
| ~ ( member @ ( ordered_pair @ X3 @ X2 ) @ X4 )
| ~ ( ilf_type @ X2 @ set_type )
| ( member @ ( ordered_pair @ X3 @ X0 ) @ ( compose @ X4 @ X1 ) )
| ~ ( ilf_type @ X4 @ binary_relation_type )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(p29,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ X1 )
| ~ ( member @ ( ordered_pair @ X3 @ X2 ) @ X4 )
| ( member @ ( ordered_pair @ X3 @ X0 ) @ ( compose @ X4 @ X1 ) )
| ~ ( ilf_type @ X4 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl542,plain,
( ! [X0: $i,X1: $i] :
( ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X1 @ sk__18 ) @ X0 )
| ( member @ ( ordered_pair @ X1 @ sk__17 ) @ ( compose @ X0 @ sk__15 ) )
| ~ ( ilf_type @ X0 @ binary_relation_type ) )
<= ( member @ ( ordered_pair @ sk__18 @ sk__17 ) @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl94]) ).
thf(p26,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_cl50,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)],[p26]) ).
thf(zip_derived_cl53_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl203,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_cl50,zip_derived_cl53,zip_derived_cl53]) ).
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_cl53_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl193,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_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_like @ X2 )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl193]) ).
thf(zip_derived_cl58,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
relation_like @ sk__15,
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl58]) ).
thf(p15,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_cl23,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)],[p15]) ).
thf(zip_derived_cl175,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl53_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl53]) ).
thf(zip_derived_cl228,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl176]) ).
thf(zip_derived_cl547,plain,
( ! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ sk__18 ) @ X0 )
| ( member @ ( ordered_pair @ X1 @ sk__17 ) @ ( compose @ X0 @ sk__15 ) )
| ~ ( ilf_type @ X0 @ binary_relation_type ) )
<= ( member @ ( ordered_pair @ sk__18 @ sk__17 ) @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl542,zip_derived_cl228]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 )
| ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) )
| ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(p27,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 @ ( relation_type @ B @ C ) )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ C @ D ) )
=> ( ( compose5 @ B @ C @ D @ E @ F )
= ( compose @ E @ F ) ) ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ( compose5 @ X2 @ X0 @ X4 @ X1 @ X3 )
= ( compose @ X1 @ X3 ) )
| ~ ( ilf_type @ X3 @ ( relation_type @ X0 @ X4 ) )
| ~ ( ilf_type @ X4 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl53_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ( compose5 @ X2 @ X0 @ X4 @ X1 @ X3 )
= ( compose @ X1 @ X3 ) )
| ~ ( ilf_type @ X3 @ ( relation_type @ X0 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl77,plain,
( ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) )
<= ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl491,plain,
( ( ~ ( ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__12 ) )
| ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) ) )
<= ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl489,zip_derived_cl77]) ).
thf(zip_derived_cl58_011,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl494,plain,
( ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) )
<= ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl58,zip_derived_cl65]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( compose @ X3 @ X1 ) )
| ( member @ ( ordered_pair @ X2 @ ( sk_ @ X1 @ X3 @ X0 @ X2 ) ) @ X3 )
| ~ ( ilf_type @ X3 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl53_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( compose @ X3 @ X1 ) )
| ( member @ ( ordered_pair @ X2 @ ( sk_ @ X1 @ X3 @ X0 @ X2 ) ) @ X3 )
| ~ ( ilf_type @ X3 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( compose @ X3 @ X1 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X1 @ X3 @ X0 @ X2 ) @ X0 ) @ X1 )
| ~ ( ilf_type @ X3 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl53_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( compose @ X3 @ X1 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X1 @ X3 @ X0 @ X2 ) @ X0 ) @ X1 )
| ~ ( ilf_type @ X3 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl53,zip_derived_cl53]) ).
thf(p7,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_cl12,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)],[p7]) ).
thf(zip_derived_cl53_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl268,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl53,zip_derived_cl53]) ).
thf(p9,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p9]) ).
thf(zip_derived_cl53_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl269,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl268,zip_derived_cl117]) ).
thf(zip_derived_cl74,plain,
( ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl271,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ sk__12 )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl74]) ).
thf(zip_derived_cl65_020,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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 )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ B @ C ) )
=> ( ( member @ ( ordered_pair @ D @ E ) @ F )
=> ( ( member @ D @ B )
& ( member @ E @ C ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ X1 @ X0 )
| ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X3 )
| ~ ( ilf_type @ X3 @ ( relation_type @ X4 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X4 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl53_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl53_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p29]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( member @ X1 @ X0 )
| ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X3 )
| ~ ( ilf_type @ X3 @ ( relation_type @ X4 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ sk__12 )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl148]) ).
thf(zip_derived_cl272,plain,
( ! [X0: $i] :
( ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl271,zip_derived_cl149]) ).
thf(zip_derived_cl273,plain,
( ! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ ( compose @ X1 @ sk__15 ) )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ sk__16 @ ( sk_ @ sk__15 @ X1 @ sk__17 @ X0 ) ) @ sk__14 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl272]) ).
thf(zip_derived_cl228_025,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl176]) ).
thf(zip_derived_cl275,plain,
( ! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ ( compose @ X1 @ sk__15 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ ( sk_ @ sk__15 @ X1 @ sk__17 @ X0 ) ) @ sk__14 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl228]) ).
thf(zip_derived_cl281,plain,
( ( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl275]) ).
thf(zip_derived_cl204_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_like @ X2 )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl193]) ).
thf(zip_derived_cl65_027,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl213,plain,
relation_like @ sk__14,
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl65]) ).
thf(zip_derived_cl176_028,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl53]) ).
thf(zip_derived_cl217,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl176]) ).
thf(zip_derived_cl228_029,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl176]) ).
thf(zip_derived_cl217_030,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl176]) ).
thf(zip_derived_cl282,plain,
( ( ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl217,zip_derived_cl228,zip_derived_cl217]) ).
thf(zip_derived_cl283,plain,
( ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl282]) ).
thf('1',plain,
( ~ ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ X0 ) @ sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl283]) ).
thf('2',plain,
( ( member @ ( ordered_pair @ sk__18 @ sk__17 ) @ sk__15 )
| ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf('3',plain,
member @ ( ordered_pair @ sk__18 @ sk__17 ) @ sk__15,
inference('sat_resolution*',[status(thm)],['0','1','2']) ).
thf(zip_derived_cl586,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ sk__18 ) @ X0 )
| ( member @ ( ordered_pair @ X1 @ sk__17 ) @ ( compose @ X0 @ sk__15 ) )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl547,'3']) ).
thf(zip_derived_cl489_031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ( compose5 @ X2 @ X0 @ X4 @ X1 @ X3 )
= ( compose @ X1 @ X3 ) )
| ~ ( ilf_type @ X3 @ ( relation_type @ X0 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl75,plain,
( ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) )
<= ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl490,plain,
( ( ~ ( ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__12 ) )
| ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) ) )
<= ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl75]) ).
thf(zip_derived_cl58_032,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65_033,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl493,plain,
( ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) )
<= ~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl490,zip_derived_cl58,zip_derived_cl65]) ).
thf('4',plain,
~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl570,plain,
~ ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose @ sk__14 @ sk__15 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl493,'4']) ).
thf(zip_derived_cl741,plain,
( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl570]) ).
thf(zip_derived_cl217_034,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl176]) ).
thf(zip_derived_cl742,plain,
~ ( member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl741,zip_derived_cl217]) ).
thf(zip_derived_cl62,plain,
( ( member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14 )
| ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
( ( member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14 )
<= ( member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('5',plain,
( ( member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14 )
| ( member @ ( ordered_pair @ sk__16 @ sk__17 ) @ ( compose5 @ sk__11 @ sk__12 @ sk__13 @ sk__14 @ sk__15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('6',plain,
member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14,
inference('sat_resolution*',[status(thm)],['0','1','5']) ).
thf(zip_derived_cl563,plain,
member @ ( ordered_pair @ sk__16 @ sk__18 ) @ sk__14,
inference(simpl_trail,[status(thm)],[zip_derived_cl78,'6']) ).
thf(zip_derived_cl821,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl742,zip_derived_cl563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.18ApYq7gLN true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 16:27:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.89/0.97 % Solved by fo/fo1_av.sh.
% 1.89/0.97 % done 308 iterations in 0.195s
% 1.89/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.89/0.97 % SZS output start Refutation
% See solution above
% 1.89/0.98
% 1.89/0.98
% 1.89/0.98 % Terminating...
% 2.13/1.05 % Runner terminated.
% 2.13/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------