TSTP Solution File: SET660+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET660+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.XGkphdMDN7 true
% Computer : n028.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 16:15:23 EDT 2023
% Result : Theorem 42.87s 6.71s
% Output : Refutation 42.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 34
% Syntax : Number of formulae : 133 ( 49 unt; 21 typ; 0 def)
% Number of atoms : 261 ( 37 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 939 ( 89 ~; 95 |; 7 &; 701 @)
% ( 8 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 141 ( 0 ^; 138 !; 3 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_type_type,type,
set_type: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(prove_relset_1_23,conjecture,
! [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 )
=> ( ( member @ E @ C )
=> ? [F: $i] :
( ( member @ ( ordered_pair @ F @ E ) @ D )
& ( ilf_type @ F @ set_type ) ) ) )
<=> ( ( range @ B @ C @ D )
= C ) ) ) ) ) ).
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 @ ( relation_type @ B @ C ) )
=> ( ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( member @ E @ C )
=> ? [F: $i] :
( ( member @ ( ordered_pair @ F @ E ) @ D )
& ( ilf_type @ F @ set_type ) ) ) )
<=> ( ( range @ B @ C @ D )
= C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_23]) ).
thf(zip_derived_cl67,plain,
( ( ( range @ sk__13 @ sk__14 @ sk__15 )
!= sk__14 )
| ( member @ sk__17 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p32,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( range @ B @ C @ D )
= ( range_of @ D ) ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p32]) ).
thf(p34,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl64,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl227,plain,
( ( range @ sk__13 @ sk__14 @ sk__15 )
= ( range_of @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl133]) ).
thf(zip_derived_cl228,plain,
( ( ( range_of @ sk__15 )
!= sk__14 )
| ( member @ sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl227]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
<=> ( member @ D @ C ) ) )
=> ( B = C ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( X1 = X0 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl64_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl227_004,plain,
( ( range @ sk__13 @ sk__14 @ sk__15 )
= ( range_of @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl133]) ).
thf(p33,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ilf_type @ ( range @ B @ C @ D ) @ ( subset_type @ C ) ) ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ ( range @ X1 @ X0 @ X2 ) @ ( subset_type @ X0 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl64_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( range @ X1 @ X0 @ X2 ) @ ( subset_type @ X0 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl288,plain,
( ( ilf_type @ ( range_of @ sk__15 ) @ ( subset_type @ sk__14 ) )
| ~ ( ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl227,zip_derived_cl150]) ).
thf(zip_derived_cl66_007,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl291,plain,
ilf_type @ ( range_of @ sk__15 ) @ ( subset_type @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl66]) ).
thf(p17,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_cl27,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)],[p17]) ).
thf(zip_derived_cl64_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl132,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_cl27,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl293,plain,
ilf_type @ ( range_of @ sk__15 ) @ ( member_type @ ( power_set @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl132]) ).
thf(p24,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_cl47,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)],[p24]) ).
thf(zip_derived_cl64_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl295,plain,
( ( empty @ ( power_set @ sk__14 ) )
| ( member @ ( range_of @ sk__15 ) @ ( power_set @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl131]) ).
thf(p23,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p23]) ).
thf(zip_derived_cl64_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl73,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl64]) ).
thf(zip_derived_cl296,plain,
member @ ( range_of @ sk__15 ) @ ( power_set @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl73]) ).
thf(p22,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_cl40,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)],[p22]) ).
thf(zip_derived_cl64_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl64,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl300,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ sk__15 ) )
| ( member @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl130]) ).
thf(zip_derived_cl320,plain,
! [X0: $i] :
( ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ X0 ) @ X0 )
| ( X0
= ( range_of @ sk__15 ) )
| ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ X0 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl300]) ).
thf(zip_derived_cl7507,plain,
( ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ sk__14 ) @ sk__14 )
| ( sk__14
= ( range_of @ sk__15 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( X1 = X0 )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl64_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl8192,plain,
( ( sk__14
= ( range_of @ sk__15 ) )
| ( sk__14
= ( range_of @ sk__15 ) )
| ~ ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ sk__14 ) @ ( range_of @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7507,zip_derived_cl117]) ).
thf(zip_derived_cl8203,plain,
( ~ ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ sk__14 ) @ ( range_of @ sk__15 ) )
| ( sk__14
= ( range_of @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8192]) ).
thf(zip_derived_cl66_018,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p7,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_cl12,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)],[p7]) ).
thf(zip_derived_cl64_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl144,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_cl12,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl244,plain,
ilf_type @ sk__15 @ ( subset_type @ ( cross_product @ sk__13 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl144]) ).
thf(p27,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_cl55,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)],[p27]) ).
thf(zip_derived_cl64_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl100,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_cl55,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl245,plain,
relation_like @ sk__15,
inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl100]) ).
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_cl95,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_cl64_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl64]) ).
thf(zip_derived_cl248,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl96]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ C @ ( range_of @ B ) )
<=> ? [D: $i] :
( ( member @ ( ordered_pair @ D @ C ) @ B )
& ( ilf_type @ D @ set_type ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X2 )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ X0 @ ( range_of @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl64_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl64_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X2 )
| ( member @ X0 @ ( range_of @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl250,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__15 )
| ( member @ X0 @ ( range_of @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl97]) ).
thf(zip_derived_cl8825,plain,
! [X0: $i] :
( ( sk__14
= ( range_of @ sk__15 ) )
| ~ ( member @ ( ordered_pair @ X0 @ ( sk__1 @ ( range_of @ sk__15 ) @ sk__14 ) ) @ sk__15 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8203,zip_derived_cl250]) ).
thf(zip_derived_cl70,plain,
! [X1: $i] :
( ( ( range @ sk__13 @ sk__14 @ sk__15 )
= sk__14 )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ ( ordered_pair @ ( sk__16 @ X1 ) @ X1 ) @ sk__15 )
| ~ ( member @ X1 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl155,plain,
! [X1: $i] :
( ( ( range @ sk__13 @ sk__14 @ sk__15 )
= sk__14 )
| ( member @ ( ordered_pair @ ( sk__16 @ X1 ) @ X1 ) @ sk__15 )
| ~ ( member @ X1 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl64]) ).
thf(zip_derived_cl227_027,plain,
( ( range @ sk__13 @ sk__14 @ sk__15 )
= ( range_of @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl133]) ).
thf(zip_derived_cl404,plain,
! [X1: $i] :
( ( ( range_of @ sk__15 )
= sk__14 )
| ( member @ ( ordered_pair @ ( sk__16 @ X1 ) @ X1 ) @ sk__15 )
| ~ ( member @ X1 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl227]) ).
thf(zip_derived_cl9216,plain,
( ( sk__14
= ( range_of @ sk__15 ) )
| ( ( range_of @ sk__15 )
= sk__14 )
| ~ ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ sk__14 ) @ sk__14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8825,zip_derived_cl404]) ).
thf(zip_derived_cl9237,plain,
( ~ ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ sk__14 ) @ sk__14 )
| ( sk__14
= ( range_of @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9216]) ).
thf(zip_derived_cl7507_028,plain,
( ( member @ ( sk__1 @ ( range_of @ sk__15 ) @ sk__14 ) @ sk__14 )
| ( sk__14
= ( range_of @ sk__15 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl9238,plain,
( sk__14
= ( range_of @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl9237,zip_derived_cl7507]) ).
thf(zip_derived_cl9240,plain,
( ( sk__14 != sk__14 )
| ( member @ sk__17 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl9238]) ).
thf(zip_derived_cl9241,plain,
member @ sk__17 @ sk__14,
inference(simplify,[status(thm)],[zip_derived_cl9240]) ).
thf(zip_derived_cl248_029,plain,
ilf_type @ sk__15 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl96]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X0 @ ( range_of @ X1 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ X0 ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl64_030,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ ( range_of @ X1 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ X0 ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl64]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ sk__15 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X0 @ sk__15 ) @ X0 ) @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl74]) ).
thf(zip_derived_cl9238_031,plain,
( sk__14
= ( range_of @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl9237,zip_derived_cl7507]) ).
thf(zip_derived_cl9244,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__14 )
| ( member @ ( ordered_pair @ ( sk_ @ X0 @ sk__15 ) @ X0 ) @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl9238]) ).
thf(zip_derived_cl45273,plain,
member @ ( ordered_pair @ ( sk_ @ sk__17 @ sk__15 ) @ sk__17 ) @ sk__15,
inference('s_sup-',[status(thm)],[zip_derived_cl9241,zip_derived_cl9244]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( ( range @ sk__13 @ sk__14 @ sk__15 )
!= sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_032,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( ( range @ sk__13 @ sk__14 @ sk__15 )
!= sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl64]) ).
thf(zip_derived_cl227_033,plain,
( ( range @ sk__13 @ sk__14 @ sk__15 )
= ( range_of @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl133]) ).
thf(zip_derived_cl229,plain,
! [X0: $i] :
( ( ( range_of @ sk__15 )
!= sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl227]) ).
thf(zip_derived_cl9238_034,plain,
( sk__14
= ( range_of @ sk__15 ) ),
inference(clc,[status(thm)],[zip_derived_cl9237,zip_derived_cl7507]) ).
thf(zip_derived_cl9242,plain,
! [X0: $i] :
( ( sk__14 != sk__14 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl9238]) ).
thf(zip_derived_cl9243,plain,
! [X0: $i] :
~ ( member @ ( ordered_pair @ X0 @ sk__17 ) @ sk__15 ),
inference(simplify,[status(thm)],[zip_derived_cl9242]) ).
thf(zip_derived_cl45337,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl45273,zip_derived_cl9243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET660+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XGkphdMDN7 true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 11:10:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 42.87/6.71 % Solved by fo/fo13.sh.
% 42.87/6.71 % done 2161 iterations in 5.920s
% 42.87/6.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 42.87/6.71 % SZS output start Refutation
% See solution above
% 42.87/6.71
% 42.87/6.71
% 42.87/6.71 % Terminating...
% 42.87/6.77 % Runner terminated.
% 42.87/6.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------