TSTP Solution File: SET657+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET657+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.vPYn4s8YQp true
% Computer : n016.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 16:15:22 EDT 2023
% Result : Theorem 8.95s 1.86s
% Output : Refutation 8.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 39
% Syntax : Number of formulae : 145 ( 60 unt; 22 typ; 0 def)
% Number of atoms : 265 ( 15 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 982 ( 80 ~; 85 |; 5 &; 760 @)
% ( 5 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 6 con; 0-3 aty)
% Number of variables : 173 ( 0 ^; 173 !; 0 ?; 173 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(union_type,type,
union: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(field_of_type,type,
field_of: $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(prove_relset_1_19,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( subset @ ( field_of @ D ) @ ( union @ B @ 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 ) )
=> ( subset @ ( field_of @ D ) @ ( union @ B @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_19]) ).
thf(zip_derived_cl64,plain,
~ ( subset @ ( field_of @ sk__13 ) @ ( union @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl19,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_cl89,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19]) ).
thf(p37,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl61,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl61]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( field_of @ B )
= ( union @ ( domain_of @ B ) @ ( range_of @ B ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( ( field_of @ X0 )
= ( union @ ( domain_of @ X0 ) @ ( range_of @ X0 ) ) )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ~ ( relation_like @ X0 )
| ( ( field_of @ X0 )
= ( union @ ( domain_of @ X0 ) @ ( range_of @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl1]) ).
thf(p9,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( subset @ B @ C )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p9]) ).
thf(zip_derived_cl61_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl189,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl63,plain,
ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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 @ ( range @ B @ C @ D ) @ ( subset_type @ C ) ) ) ) ) ).
thf(zip_derived_cl60,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)],[p36]) ).
thf(zip_derived_cl61_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl672,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_cl60,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl677,plain,
ilf_type @ ( range @ sk__11 @ sk__12 @ sk__13 ) @ ( subset_type @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl672]) ).
thf(zip_derived_cl63_005,plain,
ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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 ) )
=> ( ( range @ B @ C @ D )
= ( range_of @ D ) ) ) ) ) ).
thf(zip_derived_cl59,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)],[p35]) ).
thf(zip_derived_cl61_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl520,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_cl59,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl522,plain,
( ( range @ sk__11 @ sk__12 @ sk__13 )
= ( range_of @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl520]) ).
thf(zip_derived_cl678,plain,
ilf_type @ ( range_of @ sk__13 ) @ ( subset_type @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl677,zip_derived_cl522]) ).
thf(p16,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ilf_type @ C @ ( subset_type @ B ) )
<=> ( ilf_type @ C @ ( member_type @ ( power_set @ B ) ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p16]) ).
thf(zip_derived_cl61_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl679,plain,
ilf_type @ ( range_of @ sk__13 ) @ ( member_type @ ( power_set @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl144]) ).
thf(p23,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_cl36,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)],[p23]) ).
thf(zip_derived_cl61_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl184,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl691,plain,
( ( member @ ( range_of @ sk__13 ) @ ( power_set @ sk__12 ) )
| ( empty @ ( power_set @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl184]) ).
thf(p22,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl61_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl61]) ).
thf(zip_derived_cl692,plain,
member @ ( range_of @ sk__13 ) @ ( power_set @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl691,zip_derived_cl66]) ).
thf(p21,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_cl29,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)],[p21]) ).
thf(zip_derived_cl61_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl61,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl698,plain,
! [X0: $i] :
( ( member @ X0 @ sk__12 )
| ~ ( member @ X0 @ ( range_of @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl332]) ).
thf(zip_derived_cl757,plain,
! [X0: $i] :
( ( subset @ ( range_of @ sk__13 ) @ X0 )
| ( member @ ( sk__1 @ X0 @ ( range_of @ sk__13 ) ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl698]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p9]) ).
thf(zip_derived_cl61_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl3886,plain,
( ( subset @ ( range_of @ sk__13 ) @ sk__12 )
| ( subset @ ( range_of @ sk__13 ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl110]) ).
thf(zip_derived_cl3887,plain,
subset @ ( range_of @ sk__13 ) @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl3886]) ).
thf(zip_derived_cl189_018,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl63_019,plain,
ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p34,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 @ ( domain @ B @ C @ D ) @ ( subset_type @ B ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ ( domain @ X1 @ X0 @ X2 ) @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl61_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( domain @ X1 @ X0 @ X2 ) @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl642,plain,
ilf_type @ ( domain @ sk__11 @ sk__12 @ sk__13 ) @ ( subset_type @ sk__11 ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl638]) ).
thf(zip_derived_cl63_022,plain,
ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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 ) )
=> ( ( domain @ B @ C @ D )
= ( domain_of @ D ) ) ) ) ) ).
thf(zip_derived_cl57,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)],[p33]) ).
thf(zip_derived_cl61_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl517,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_cl57,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl519,plain,
( ( domain @ sk__11 @ sk__12 @ sk__13 )
= ( domain_of @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl517]) ).
thf(zip_derived_cl643,plain,
ilf_type @ ( domain_of @ sk__13 ) @ ( subset_type @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl642,zip_derived_cl519]) ).
thf(zip_derived_cl144_025,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl653,plain,
ilf_type @ ( domain_of @ sk__13 ) @ ( member_type @ ( power_set @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl144]) ).
thf(zip_derived_cl184_026,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl655,plain,
( ( member @ ( domain_of @ sk__13 ) @ ( power_set @ sk__11 ) )
| ( empty @ ( power_set @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl653,zip_derived_cl184]) ).
thf(zip_derived_cl66_027,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl61]) ).
thf(zip_derived_cl656,plain,
member @ ( domain_of @ sk__13 ) @ ( power_set @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl66]) ).
thf(zip_derived_cl332_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl61,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl662,plain,
! [X0: $i] :
( ( member @ X0 @ sk__11 )
| ~ ( member @ X0 @ ( domain_of @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl332]) ).
thf(zip_derived_cl680,plain,
! [X0: $i] :
( ( subset @ ( domain_of @ sk__13 ) @ X0 )
| ( member @ ( sk__1 @ X0 @ ( domain_of @ sk__13 ) ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl662]) ).
thf(zip_derived_cl110_029,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl2554,plain,
( ( subset @ ( domain_of @ sk__13 ) @ sk__11 )
| ( subset @ ( domain_of @ sk__13 ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl680,zip_derived_cl110]) ).
thf(zip_derived_cl2555,plain,
subset @ ( domain_of @ sk__13 ) @ sk__11,
inference(simplify,[status(thm)],[zip_derived_cl2554]) ).
thf(p1,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 )
=> ( ( ( subset @ B @ C )
& ( subset @ D @ E ) )
=> ( subset @ ( union @ B @ D ) @ ( union @ C @ E ) ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( subset @ ( union @ X2 @ X3 ) @ ( union @ X0 @ X1 ) )
| ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl61_030,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_031,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_032,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_033,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( union @ X2 @ X3 ) @ ( union @ X0 @ X1 ) )
| ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl61,zip_derived_cl61,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl2556,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X1 @ X0 )
| ( subset @ ( union @ X1 @ ( domain_of @ sk__13 ) ) @ ( union @ X0 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2555,zip_derived_cl70]) ).
thf(zip_derived_cl3892,plain,
subset @ ( union @ ( range_of @ sk__13 ) @ ( domain_of @ sk__13 ) ) @ ( union @ sk__12 @ sk__11 ),
inference('sup-',[status(thm)],[zip_derived_cl3887,zip_derived_cl2556]) ).
thf(p10,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( union @ B @ C )
= ( union @ C @ B ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p10]) ).
thf(zip_derived_cl61_034,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_035,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl106_036,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl3901,plain,
subset @ ( union @ ( domain_of @ sk__13 ) @ ( range_of @ sk__13 ) ) @ ( union @ sk__11 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl3892,zip_derived_cl106,zip_derived_cl106]) ).
thf(zip_derived_cl6376,plain,
( ( subset @ ( field_of @ sk__13 ) @ ( union @ sk__11 @ sk__12 ) )
| ~ ( relation_like @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl3901]) ).
thf(zip_derived_cl63_037,plain,
ilf_type @ sk__13 @ ( relation_type @ sk__11 @ sk__12 ),
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_cl8,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_cl61_038,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_039,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl220,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_cl8,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl222,plain,
ilf_type @ sk__13 @ ( subset_type @ ( cross_product @ sk__11 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl220]) ).
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_cl49,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_cl61_040,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl61_041,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p37]) ).
thf(zip_derived_cl147,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_cl49,zip_derived_cl61,zip_derived_cl61]) ).
thf(zip_derived_cl226,plain,
relation_like @ sk__13,
inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl147]) ).
thf(zip_derived_cl6377,plain,
subset @ ( field_of @ sk__13 ) @ ( union @ sk__11 @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl6376,zip_derived_cl226]) ).
thf(zip_derived_cl6382,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl6377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET657+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.vPYn4s8YQp true
% 0.13/0.34 % Computer : n016.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 12:04:28 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
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.95/1.86 % Solved by fo/fo5.sh.
% 8.95/1.86 % done 1280 iterations in 1.087s
% 8.95/1.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.95/1.86 % SZS output start Refutation
% See solution above
% 8.95/1.86
% 8.95/1.86
% 8.95/1.86 % Terminating...
% 9.29/1.94 % Runner terminated.
% 9.30/1.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------