TSTP Solution File: SET661+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET661+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.yS19U1cyt2 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 16:15:23 EDT 2023
% Result : Theorem 77.10s 11.82s
% Output : Refutation 77.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 34
% Syntax : Number of formulae : 182 ( 55 unt; 21 typ; 0 def)
% Number of atoms : 371 ( 64 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1673 ( 163 ~; 162 |; 6 &;1300 @)
% ( 5 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 225 ( 0 ^; 223 !; 2 ?; 225 :)
% Comments :
%------------------------------------------------------------------------------
thf(inverse_type,type,
inverse: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(inverse3_type,type,
inverse3: $i > $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(p31,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( domain @ B @ C @ D )
= ( domain_of @ D ) ) ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p31]) ).
thf(p37,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl69,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl1145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl69,zip_derived_cl69]) ).
thf(p35,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( inverse3 @ B @ C @ D )
= ( inverse @ D ) ) ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( inverse3 @ X2 @ X0 @ X1 )
= ( inverse @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p35]) ).
thf(zip_derived_cl69_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( inverse3 @ X2 @ X0 @ X1 )
= ( inverse @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl69,zip_derived_cl69]) ).
thf(p36,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 @ ( inverse3 @ B @ C @ D ) @ ( relation_type @ C @ B ) ) ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ ( inverse3 @ X1 @ X0 @ X2 ) @ ( relation_type @ X0 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p36]) ).
thf(zip_derived_cl69_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl1314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( inverse3 @ X1 @ X0 @ X2 ) @ ( relation_type @ X0 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl1322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X2 ) )
| ( ilf_type @ ( inverse @ X0 ) @ ( relation_type @ X2 @ X1 ) )
| ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1234,zip_derived_cl1314]) ).
thf(zip_derived_cl1323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( inverse @ X0 ) @ ( relation_type @ X2 @ X1 ) )
| ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1322]) ).
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 ) )
=> ( ( range @ B @ C @ D )
= ( range_of @ D ) ) ) ) ) ).
thf(zip_derived_cl65,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)],[p33]) ).
thf(zip_derived_cl69_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl1164,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_cl65,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl1164_008,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_cl65,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl1323_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( inverse @ X0 ) @ ( relation_type @ X2 @ X1 ) )
| ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1322]) ).
thf(zip_derived_cl1234_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( inverse3 @ X2 @ X0 @ X1 )
= ( inverse @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl1145_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl69,zip_derived_cl69]) ).
thf(prove_relset_1_24,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( ( domain @ C @ B @ ( inverse3 @ B @ C @ D ) )
= ( range @ B @ C @ D ) )
& ( ( range @ C @ B @ ( inverse3 @ B @ C @ D ) )
= ( domain @ B @ C @ D ) ) ) ) ) ) ).
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 ) )
=> ( ( ( domain @ C @ B @ ( inverse3 @ B @ C @ D ) )
= ( range @ B @ C @ D ) )
& ( ( range @ C @ B @ ( inverse3 @ B @ C @ D ) )
= ( domain @ B @ C @ D ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_24]) ).
thf(zip_derived_cl72,plain,
( ( ( domain @ sk__15 @ sk__14 @ ( inverse3 @ sk__14 @ sk__15 @ sk__16 ) )
!= ( range @ sk__14 @ sk__15 @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse3 @ sk__14 @ sk__15 @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1146,plain,
( ~ ( ilf_type @ ( inverse3 @ sk__14 @ sk__15 @ sk__16 ) @ ( relation_type @ sk__15 @ sk__14 ) )
| ( ( domain_of @ ( inverse3 @ sk__14 @ sk__15 @ sk__16 ) )
!= ( range @ sk__14 @ sk__15 @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse3 @ sk__14 @ sk__15 @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1145,zip_derived_cl72]) ).
thf(zip_derived_cl1236,plain,
( ~ ( ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ) )
| ~ ( ilf_type @ ( inverse @ sk__16 ) @ ( relation_type @ sk__15 @ sk__14 ) )
| ( ( domain_of @ ( inverse @ sk__16 ) )
!= ( range @ sk__14 @ sk__15 @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1234,zip_derived_cl1146]) ).
thf(zip_derived_cl71,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1238,plain,
( ~ ( ilf_type @ ( inverse @ sk__16 ) @ ( relation_type @ sk__15 @ sk__14 ) )
| ( ( domain_of @ ( inverse @ sk__16 ) )
!= ( range @ sk__14 @ sk__15 @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1236,zip_derived_cl71]) ).
thf(zip_derived_cl1327,plain,
( ~ ( ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ) )
| ( ( domain_of @ ( inverse @ sk__16 ) )
!= ( range @ sk__14 @ sk__15 @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1323,zip_derived_cl1238]) ).
thf(zip_derived_cl71_012,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1332,plain,
( ( ( domain_of @ ( inverse @ sk__16 ) )
!= ( range @ sk__14 @ sk__15 @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1327,zip_derived_cl71]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ binary_relation_type )
=> ( ( member @ B @ ( range_of @ C ) )
<=> ? [D: $i] :
( ( member @ ( ordered_pair @ D @ B ) @ C )
& ( ilf_type @ D @ set_type ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ X1 @ ( range_of @ X0 ) )
| ( member @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl69_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl783,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ X1 @ ( range_of @ X0 ) )
| ( member @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl69]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ binary_relation_type )
=> ( ( member @ ( ordered_pair @ B @ C ) @ ( inverse @ D ) )
<=> ( member @ ( ordered_pair @ C @ B ) @ D ) ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl69_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl71_016,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1323_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( inverse @ X0 ) @ ( relation_type @ X2 @ X1 ) )
| ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1322]) ).
thf(p6,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_cl13,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)],[p6]) ).
thf(zip_derived_cl69_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl857,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_cl13,zip_derived_cl69,zip_derived_cl69]) ).
thf(p28,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_cl58,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)],[p28]) ).
thf(zip_derived_cl69_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl824,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_cl58,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl857,zip_derived_cl824]) ).
thf(zip_derived_cl1325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X0 @ X1 ) )
| ( relation_like @ ( inverse @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1323,zip_derived_cl858]) ).
thf(zip_derived_cl1348,plain,
relation_like @ ( inverse @ sk__16 ),
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl1325]) ).
thf(p14,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_cl24,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)],[p14]) ).
thf(zip_derived_cl802,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl69_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl803,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl69]) ).
thf(zip_derived_cl1351,plain,
ilf_type @ ( inverse @ sk__16 ) @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl1348,zip_derived_cl803]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ binary_relation_type )
=> ( ( member @ B @ ( domain_of @ C ) )
<=> ? [D: $i] :
( ( member @ ( ordered_pair @ B @ D ) @ C )
& ( ilf_type @ D @ set_type ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ( member @ X1 @ ( domain_of @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl69_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl777,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ( member @ X1 @ ( domain_of @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl1354,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ sk__16 ) )
| ( member @ X1 @ ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl777]) ).
thf(zip_derived_cl2101,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ sk__16 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__16 )
| ( member @ X1 @ ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl1354]) ).
thf(zip_derived_cl71_025,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl858_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl857,zip_derived_cl824]) ).
thf(zip_derived_cl859,plain,
relation_like @ sk__16,
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl858]) ).
thf(zip_derived_cl803_027,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl69]) ).
thf(zip_derived_cl860,plain,
ilf_type @ sk__16 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl803]) ).
thf(zip_derived_cl2108,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__16 )
| ( member @ X1 @ ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2101,zip_derived_cl860]) ).
thf(zip_derived_cl5722,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ sk__16 ) )
| ~ ( ilf_type @ sk__16 @ binary_relation_type )
| ( member @ X0 @ ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl783,zip_derived_cl2108]) ).
thf(zip_derived_cl860_028,plain,
ilf_type @ sk__16 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl803]) ).
thf(zip_derived_cl5728,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ sk__16 ) )
| ( member @ X0 @ ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5722,zip_derived_cl860]) ).
thf(p5,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_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( X1 = X0 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p5]) ).
thf(zip_derived_cl69_029,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_030,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl828,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ X1 @ ( domain_of @ X0 ) )
| ( member @ ( ordered_pair @ X1 @ ( sk_ @ X0 @ X1 ) ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl69_031,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl770,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ X1 @ ( domain_of @ X0 ) )
| ( member @ ( ordered_pair @ X1 @ ( sk_ @ X0 @ X1 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl69]) ).
thf(zip_derived_cl860_032,plain,
ilf_type @ sk__16 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl803]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ X2 ) )
| ( member @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ~ ( ilf_type @ X2 @ binary_relation_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl69_033,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_034,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ X2 ) )
| ( member @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ~ ( ilf_type @ X2 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl869,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ sk__16 ) )
| ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl860,zip_derived_cl814]) ).
thf(zip_derived_cl1393,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( domain_of @ ( inverse @ sk__16 ) ) )
| ~ ( ilf_type @ ( inverse @ sk__16 ) @ binary_relation_type )
| ( member @ ( ordered_pair @ ( sk_ @ ( inverse @ sk__16 ) @ X0 ) @ X0 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl869]) ).
thf(zip_derived_cl1351_035,plain,
ilf_type @ ( inverse @ sk__16 ) @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl1348,zip_derived_cl803]) ).
thf(zip_derived_cl1400,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( domain_of @ ( inverse @ sk__16 ) ) )
| ( member @ ( ordered_pair @ ( sk_ @ ( inverse @ sk__16 ) @ X0 ) @ X0 ) @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1393,zip_derived_cl1351]) ).
thf(zip_derived_cl860_036,plain,
ilf_type @ sk__16 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl803]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ X2 @ ( range_of @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl69_037,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_038,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ( member @ X2 @ ( range_of @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl864,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__16 )
| ( member @ X0 @ ( range_of @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl860,zip_derived_cl794]) ).
thf(zip_derived_cl2506,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( domain_of @ ( inverse @ sk__16 ) ) )
| ( member @ X0 @ ( range_of @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1400,zip_derived_cl864]) ).
thf(zip_derived_cl3984,plain,
! [X0: $i] :
( ( member @ ( sk__2 @ ( domain_of @ ( inverse @ sk__16 ) ) @ X0 ) @ X0 )
| ( X0
= ( domain_of @ ( inverse @ sk__16 ) ) )
| ( member @ ( sk__2 @ ( domain_of @ ( inverse @ sk__16 ) ) @ X0 ) @ ( range_of @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl828,zip_derived_cl2506]) ).
thf(zip_derived_cl13207,plain,
( ( member @ ( sk__2 @ ( domain_of @ ( inverse @ sk__16 ) ) @ ( range_of @ sk__16 ) ) @ ( range_of @ sk__16 ) )
| ( ( range_of @ sk__16 )
= ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl3984]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( X1 = X0 )
| ~ ( member @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ~ ( member @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p5]) ).
thf(zip_derived_cl69_039,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl69_040,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl847,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ~ ( member @ ( sk__2 @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl14287,plain,
( ( ( range_of @ sk__16 )
= ( domain_of @ ( inverse @ sk__16 ) ) )
| ( ( range_of @ sk__16 )
= ( domain_of @ ( inverse @ sk__16 ) ) )
| ~ ( member @ ( sk__2 @ ( domain_of @ ( inverse @ sk__16 ) ) @ ( range_of @ sk__16 ) ) @ ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13207,zip_derived_cl847]) ).
thf(zip_derived_cl14298,plain,
( ~ ( member @ ( sk__2 @ ( domain_of @ ( inverse @ sk__16 ) ) @ ( range_of @ sk__16 ) ) @ ( domain_of @ ( inverse @ sk__16 ) ) )
| ( ( range_of @ sk__16 )
= ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14287]) ).
thf(zip_derived_cl16180,plain,
( ~ ( member @ ( sk__2 @ ( domain_of @ ( inverse @ sk__16 ) ) @ ( range_of @ sk__16 ) ) @ ( range_of @ sk__16 ) )
| ( ( range_of @ sk__16 )
= ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5728,zip_derived_cl14298]) ).
thf(zip_derived_cl13207_041,plain,
( ( member @ ( sk__2 @ ( domain_of @ ( inverse @ sk__16 ) ) @ ( range_of @ sk__16 ) ) @ ( range_of @ sk__16 ) )
| ( ( range_of @ sk__16 )
= ( domain_of @ ( inverse @ sk__16 ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl3984]) ).
thf(zip_derived_cl16241,plain,
( ( range_of @ sk__16 )
= ( domain_of @ ( inverse @ sk__16 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16180,zip_derived_cl13207]) ).
thf(zip_derived_cl16243,plain,
( ( ( range_of @ sk__16 )
!= ( range @ sk__14 @ sk__15 @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1332,zip_derived_cl16241]) ).
thf(zip_derived_cl16426,plain,
( ~ ( ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ) )
| ( ( range_of @ sk__16 )
!= ( range_of @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1164,zip_derived_cl16243]) ).
thf(zip_derived_cl71_042,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16427,plain,
( ( ( range_of @ sk__16 )
!= ( range_of @ sk__16 ) )
| ( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16426,zip_derived_cl71]) ).
thf(zip_derived_cl16428,plain,
( ( range @ sk__15 @ sk__14 @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16427]) ).
thf(zip_derived_cl16434,plain,
( ~ ( ilf_type @ ( inverse @ sk__16 ) @ ( relation_type @ sk__15 @ sk__14 ) )
| ( ( range_of @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1164,zip_derived_cl16428]) ).
thf(zip_derived_cl16475,plain,
( ~ ( ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ) )
| ( ( range_of @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1323,zip_derived_cl16434]) ).
thf(zip_derived_cl71_043,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16478,plain,
( ( range_of @ ( inverse @ sk__16 ) )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl16475,zip_derived_cl71]) ).
thf(zip_derived_cl770_044,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ X1 @ ( domain_of @ X0 ) )
| ( member @ ( ordered_pair @ X1 @ ( sk_ @ X0 @ X1 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl69]) ).
thf(zip_derived_cl822_045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ X2 ) )
| ~ ( ilf_type @ X2 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl1351_046,plain,
ilf_type @ ( inverse @ sk__16 ) @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl1348,zip_derived_cl803]) ).
thf(zip_derived_cl794_047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ( member @ X2 @ ( range_of @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl1357,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ sk__16 ) )
| ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl794]) ).
thf(zip_derived_cl2140,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ sk__16 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__16 )
| ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl1357]) ).
thf(zip_derived_cl860_048,plain,
ilf_type @ sk__16 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl803]) ).
thf(zip_derived_cl2147,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__16 )
| ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl860]) ).
thf(zip_derived_cl6232,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( domain_of @ sk__16 ) )
| ~ ( ilf_type @ sk__16 @ binary_relation_type )
| ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl2147]) ).
thf(zip_derived_cl860_049,plain,
ilf_type @ sk__16 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl803]) ).
thf(zip_derived_cl6238,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( domain_of @ sk__16 ) )
| ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6232,zip_derived_cl860]) ).
thf(zip_derived_cl828_050,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl783_051,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ X1 @ ( range_of @ X0 ) )
| ( member @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl69]) ).
thf(zip_derived_cl869_052,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ ( inverse @ sk__16 ) )
| ( member @ ( ordered_pair @ X0 @ X1 ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl860,zip_derived_cl814]) ).
thf(zip_derived_cl1394,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) )
| ~ ( ilf_type @ ( inverse @ sk__16 ) @ binary_relation_type )
| ( member @ ( ordered_pair @ X0 @ ( sk__1 @ ( inverse @ sk__16 ) @ X0 ) ) @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl783,zip_derived_cl869]) ).
thf(zip_derived_cl1351_053,plain,
ilf_type @ ( inverse @ sk__16 ) @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl1348,zip_derived_cl803]) ).
thf(zip_derived_cl1401,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) )
| ( member @ ( ordered_pair @ X0 @ ( sk__1 @ ( inverse @ sk__16 ) @ X0 ) ) @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1394,zip_derived_cl1351]) ).
thf(zip_derived_cl860_054,plain,
ilf_type @ sk__16 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl803]) ).
thf(zip_derived_cl777_055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ~ ( member @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ( member @ X1 @ ( domain_of @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl861,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__16 )
| ( member @ X1 @ ( domain_of @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl860,zip_derived_cl777]) ).
thf(zip_derived_cl2534,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ ( inverse @ sk__16 ) ) )
| ( member @ X0 @ ( domain_of @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1401,zip_derived_cl861]) ).
thf(zip_derived_cl3999,plain,
! [X0: $i] :
( ( member @ ( sk__2 @ ( range_of @ ( inverse @ sk__16 ) ) @ X0 ) @ X0 )
| ( X0
= ( range_of @ ( inverse @ sk__16 ) ) )
| ( member @ ( sk__2 @ ( range_of @ ( inverse @ sk__16 ) ) @ X0 ) @ ( domain_of @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl828,zip_derived_cl2534]) ).
thf(zip_derived_cl13783,plain,
( ( member @ ( sk__2 @ ( range_of @ ( inverse @ sk__16 ) ) @ ( domain_of @ sk__16 ) ) @ ( domain_of @ sk__16 ) )
| ( ( domain_of @ sk__16 )
= ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl3999]) ).
thf(zip_derived_cl847_056,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ~ ( member @ ( sk__2 @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl69,zip_derived_cl69]) ).
thf(zip_derived_cl14698,plain,
( ( ( domain_of @ sk__16 )
= ( range_of @ ( inverse @ sk__16 ) ) )
| ( ( domain_of @ sk__16 )
= ( range_of @ ( inverse @ sk__16 ) ) )
| ~ ( member @ ( sk__2 @ ( range_of @ ( inverse @ sk__16 ) ) @ ( domain_of @ sk__16 ) ) @ ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13783,zip_derived_cl847]) ).
thf(zip_derived_cl14709,plain,
( ~ ( member @ ( sk__2 @ ( range_of @ ( inverse @ sk__16 ) ) @ ( domain_of @ sk__16 ) ) @ ( range_of @ ( inverse @ sk__16 ) ) )
| ( ( domain_of @ sk__16 )
= ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14698]) ).
thf(zip_derived_cl25862,plain,
( ~ ( member @ ( sk__2 @ ( range_of @ ( inverse @ sk__16 ) ) @ ( domain_of @ sk__16 ) ) @ ( domain_of @ sk__16 ) )
| ( ( domain_of @ sk__16 )
= ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6238,zip_derived_cl14709]) ).
thf(zip_derived_cl13783_057,plain,
( ( member @ ( sk__2 @ ( range_of @ ( inverse @ sk__16 ) ) @ ( domain_of @ sk__16 ) ) @ ( domain_of @ sk__16 ) )
| ( ( domain_of @ sk__16 )
= ( range_of @ ( inverse @ sk__16 ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl3999]) ).
thf(zip_derived_cl25909,plain,
( ( domain_of @ sk__16 )
= ( range_of @ ( inverse @ sk__16 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl25862,zip_derived_cl13783]) ).
thf(zip_derived_cl26004,plain,
( ( domain_of @ sk__16 )
!= ( domain @ sk__14 @ sk__15 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl16478,zip_derived_cl25909]) ).
thf(zip_derived_cl26215,plain,
( ~ ( ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ) )
| ( ( domain_of @ sk__16 )
!= ( domain_of @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1145,zip_derived_cl26004]) ).
thf(zip_derived_cl71_058,plain,
ilf_type @ sk__16 @ ( relation_type @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26216,plain,
( ( domain_of @ sk__16 )
!= ( domain_of @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl26215,zip_derived_cl71]) ).
thf(zip_derived_cl26217,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl26216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET661+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.yS19U1cyt2 true
% 0.13/0.35 % Computer : n022.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 09:47:40 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
% 0.19/0.35 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 77.10/11.82 % Solved by fo/fo6_bce.sh.
% 77.10/11.82 % BCE start: 74
% 77.10/11.82 % BCE eliminated: 2
% 77.10/11.82 % PE start: 72
% 77.10/11.82 logic: eq
% 77.10/11.82 % PE eliminated: 0
% 77.10/11.82 % done 4689 iterations in 11.037s
% 77.10/11.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 77.10/11.82 % SZS output start Refutation
% See solution above
% 77.10/11.82
% 77.10/11.82
% 77.10/11.82 % Terminating...
% 77.64/12.01 % Runner terminated.
% 77.64/12.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------