TSTP Solution File: SET686+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET686+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.Yen9YWkoeB true
% Computer : n023.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 16:15:36 EDT 2023
% Result : Theorem 4.19s 1.23s
% Output : Refutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 134 ( 35 unt; 20 typ; 0 def)
% Number of atoms : 342 ( 4 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1459 ( 188 ~; 141 |; 18 &;1043 @)
% ( 6 <=>; 35 =>; 28 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 9 con; 0-4 aty)
% Number of variables : 172 ( 0 ^; 169 !; 3 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(inverse4_type,type,
inverse4: $i > $i > $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(inverse2_type,type,
inverse2: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
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(p27,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl155,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_cl51,zip_derived_cl51]) ).
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_cl51_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl149,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_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_like @ X2 )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl155,zip_derived_cl149]) ).
thf(prove_relset_1_53,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 @ D ) )
=> ! [F: $i] :
( ( ilf_type @ F @ ( member_type @ B ) )
=> ( ( member @ F @ ( inverse4 @ B @ D @ E @ C ) )
<=> ? [G: $i] :
( ( member @ G @ C )
& ( member @ ( ordered_pair @ F @ G ) @ E )
& ( ilf_type @ G @ ( member_type @ D ) ) ) ) ) ) ) ) ) ).
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 @ D ) )
=> ! [F: $i] :
( ( ilf_type @ F @ ( member_type @ B ) )
=> ( ( member @ F @ ( inverse4 @ B @ D @ E @ C ) )
<=> ? [G: $i] :
( ( member @ G @ C )
& ( member @ ( ordered_pair @ F @ G ) @ E )
& ( ilf_type @ G @ ( member_type @ D ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_53]) ).
thf(zip_derived_cl61,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl162,plain,
relation_like @ sk__14,
inference('s_sup+',[status(thm)],[zip_derived_cl156,zip_derived_cl61]) ).
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_cl128,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_cl51_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl51]) ).
thf(zip_derived_cl164,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl129]) ).
thf(zip_derived_cl59,plain,
( ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 )
| ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
( ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 )
<= ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
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 @ C @ ( inverse2 @ D @ B ) )
<=> ? [E: $i] :
( ( member @ E @ B )
& ( member @ ( ordered_pair @ C @ E ) @ D )
& ( ilf_type @ E @ set_type ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X2 )
| ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ X3 )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ X0 @ ( inverse2 @ X3 @ X2 ) )
| ~ ( ilf_type @ X3 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl51_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X1 @ X2 )
| ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ X3 )
| ( member @ X0 @ ( inverse2 @ X3 @ X2 ) )
| ~ ( ilf_type @ X3 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl109,plain,
( ! [X0: $i] :
( ~ ( member @ sk__16 @ X0 )
| ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( ilf_type @ sk__14 @ binary_relation_type ) )
<= ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl108]) ).
thf(zip_derived_cl115,plain,
( ~ ( ilf_type @ sk__14 @ binary_relation_type )
<= ~ ( ilf_type @ sk__14 @ binary_relation_type ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf('0',plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl115]) ).
thf(zip_derived_cl58,plain,
( ( member @ sk__16 @ sk__12 )
| ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ( member @ sk__16 @ sk__12 )
| ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X0 @ ( inverse2 @ X1 @ X2 ) )
| ( member @ ( sk_ @ X1 @ X0 @ X2 ) @ X2 )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl51_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ ( inverse2 @ X1 @ X2 ) )
| ( member @ ( sk_ @ X1 @ X0 @ X2 ) @ X2 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X0 @ ( inverse2 @ X1 @ X2 ) )
| ( member @ ( ordered_pair @ X0 @ ( sk_ @ X1 @ X0 @ X2 ) ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl51_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ ( inverse2 @ X1 @ X2 ) )
| ( member @ ( ordered_pair @ X0 @ ( sk_ @ X1 @ X0 @ X2 ) ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 )
| ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
( ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl462,plain,
( ! [X0: $i] :
( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( ilf_type @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ ( member_type @ sk__13 ) )
| ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl72]) ).
thf(zip_derived_cl164_012,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl129]) ).
thf(zip_derived_cl481,plain,
( ! [X0: $i] :
( ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( ilf_type @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ ( member_type @ sk__13 ) )
| ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl164]) ).
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_cl51_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl198,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_cl51,zip_derived_cl51]) ).
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_cl51_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl198,zip_derived_cl110]) ).
thf(zip_derived_cl543,plain,
( ! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__13 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl199]) ).
thf(zip_derived_cl61_017,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__13 ),
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_cl51_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl136,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_cl51,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ sk__13 )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl136]) ).
thf(zip_derived_cl87_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ ( inverse2 @ X1 @ X2 ) )
| ( member @ ( ordered_pair @ X0 @ ( sk_ @ X1 @ X0 @ X2 ) ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl471,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ sk__14 @ X1 @ X0 ) @ sk__13 )
| ~ ( member @ X1 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( ilf_type @ sk__14 @ binary_relation_type ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl164_023,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl129]) ).
thf(zip_derived_cl475,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ sk__14 @ X1 @ X0 ) @ sk__13 )
| ~ ( member @ X1 @ ( inverse2 @ sk__14 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl164]) ).
thf(zip_derived_cl1232,plain,
( ! [X0: $i] :
( ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl543,zip_derived_cl475]) ).
thf(zip_derived_cl1233,plain,
( ! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1232]) ).
thf(zip_derived_cl1237,plain,
( ( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl1233]) ).
thf(zip_derived_cl164_024,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl129]) ).
thf(zip_derived_cl1238,plain,
( ( ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1237,zip_derived_cl164]) ).
thf(zip_derived_cl1239,plain,
( ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1238]) ).
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 )
=> ( ( inverse4 @ B @ C @ D @ E )
= ( inverse2 @ D @ E ) ) ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ( inverse4 @ X3 @ X0 @ X2 @ X1 )
= ( inverse2 @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl51_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_027,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( inverse4 @ X3 @ X0 @ X2 @ X1 )
= ( inverse2 @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl75,plain,
( ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) )
<= ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl393,plain,
( ( ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__13 ) )
| ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) ) )
<= ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl391,zip_derived_cl75]) ).
thf(zip_derived_cl61_028,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl396,plain,
( ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) )
<= ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl393,zip_derived_cl61]) ).
thf('2',plain,
( ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) )
| ~ ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1239,zip_derived_cl396]) ).
thf(zip_derived_cl199_029,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl198,zip_derived_cl110]) ).
thf(zip_derived_cl76_030,plain,
( ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 )
<= ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl72_031,plain,
( ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) )
<= ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl81,plain,
( ( ~ ( ilf_type @ sk__16 @ ( member_type @ sk__13 ) )
| ~ ( member @ sk__16 @ sk__12 ) )
<= ( ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) )
& ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl72]) ).
thf(zip_derived_cl91,plain,
( ~ ( ilf_type @ sk__16 @ ( member_type @ sk__13 ) )
<= ~ ( ilf_type @ sk__16 @ ( member_type @ sk__13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl201,plain,
( ~ ( member @ sk__16 @ sk__13 )
<= ~ ( ilf_type @ sk__16 @ ( member_type @ sk__13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl91]) ).
thf(zip_derived_cl137_032,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ sk__13 )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl136]) ).
thf(zip_derived_cl76_033,plain,
( ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 )
<= ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl138,plain,
( ( member @ sk__16 @ sk__13 )
<= ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl76]) ).
thf('3',plain,
( ( ilf_type @ sk__16 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl138]) ).
thf('4',plain,
( ~ ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) )
| ~ ( member @ sk__16 @ sk__12 )
| ~ ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( ilf_type @ sk__16 @ ( member_type @ sk__13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf('5',plain,
( ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) )
| ! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ X0 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf('6',plain,
( ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 )
| ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('7',plain,
( ! [X0: $i] :
( ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( member @ sk__16 @ X0 ) )
| ~ ( member @ ( ordered_pair @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( ilf_type @ sk__14 @ binary_relation_type ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl391_034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( inverse4 @ X3 @ X0 @ X2 @ X1 )
= ( inverse2 @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl73,plain,
( ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) )
<= ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl392,plain,
( ( ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__13 ) )
| ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) ) )
<= ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl73]) ).
thf(zip_derived_cl61_035,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__11 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl395,plain,
( ~ ( member @ sk__15 @ ( inverse2 @ sk__14 @ sk__12 ) )
<= ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl61]) ).
thf(zip_derived_cl114,plain,
( ! [X0: $i] :
( ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( member @ sk__16 @ X0 ) )
<= ! [X0: $i] :
( ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( member @ sk__16 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl398,plain,
( ~ ( member @ sk__16 @ sk__12 )
<= ( ~ ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) )
& ! [X0: $i] :
( ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( member @ sk__16 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl395,zip_derived_cl114]) ).
thf(zip_derived_cl74,plain,
( ( member @ sk__16 @ sk__12 )
<= ( member @ sk__16 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf('8',plain,
( ~ ! [X0: $i] :
( ( member @ sk__15 @ ( inverse2 @ sk__14 @ X0 ) )
| ~ ( member @ sk__16 @ X0 ) )
| ~ ( member @ sk__16 @ sk__12 )
| ( member @ sk__15 @ ( inverse4 @ sk__11 @ sk__13 @ sk__14 @ sk__12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl398,zip_derived_cl74]) ).
thf(zip_derived_cl1246,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET686+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Yen9YWkoeB true
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 10:48:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.69 % Total configuration time : 435
% 0.57/0.69 % Estimated wc time : 1092
% 0.57/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.19/1.23 % Solved by fo/fo1_av.sh.
% 4.19/1.23 % done 465 iterations in 0.369s
% 4.19/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.19/1.23 % SZS output start Refutation
% See solution above
% 4.19/1.23
% 4.19/1.23
% 4.19/1.23 % Terminating...
% 4.39/1.30 % Runner terminated.
% 4.39/1.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------