TSTP Solution File: SET668+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET668+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.1sI7tHlDuJ 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 16:15:25 EDT 2023
% Result : Theorem 13.66s 2.66s
% Output : Refutation 13.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of formulae : 105 ( 47 unt; 17 typ; 0 def)
% Number of atoms : 196 ( 17 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 717 ( 65 ~; 63 |; 6 &; 544 @)
% ( 4 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 114 ( 0 ^; 114 !; 0 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(identity_relation_of_type,type,
identity_relation_of: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(prove_relset_1_31,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ C @ B ) )
=> ( ( subset @ ( identity_relation_of @ C ) @ D )
=> ( ( C
= ( domain @ C @ B @ D ) )
& ( subset @ C @ ( range @ C @ B @ 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 @ C @ B ) )
=> ( ( subset @ ( identity_relation_of @ C ) @ D )
=> ( ( C
= ( domain @ C @ B @ D ) )
& ( subset @ C @ ( range @ C @ B @ D ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_31]) ).
thf(zip_derived_cl63,plain,
subset @ ( identity_relation_of @ sk__13 ) @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ( ( subset @ ( identity_relation_of @ D ) @ E )
=> ( ( subset @ D @ ( domain @ B @ C @ E ) )
& ( subset @ D @ ( range @ B @ C @ E ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( subset @ X3 @ ( domain @ X2 @ X0 @ X1 ) )
| ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(p32,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( subset @ X3 @ ( domain @ X2 @ X0 @ X1 ) )
| ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl59,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ~ ( subset @ ( identity_relation_of @ X0 ) @ sk__14 )
| ( subset @ X0 @ ( domain @ sk__13 @ sk__12 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl95]) ).
thf(zip_derived_cl104,plain,
subset @ sk__13 @ ( domain @ sk__13 @ sk__12 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl96]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ( subset @ B @ C )
& ( subset @ C @ B ) )
=> ( B = C ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl59_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl105,plain,
( ~ ( subset @ ( domain @ sk__13 @ sk__12 @ sk__14 ) @ sk__13 )
| ( ( domain @ sk__13 @ sk__12 @ sk__14 )
= sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl69]) ).
thf(zip_derived_cl61_005,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p28,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_cl55,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)],[p28]) ).
thf(zip_derived_cl59_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl896,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_cl55,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl901,plain,
( ( domain @ sk__13 @ sk__12 @ sk__14 )
= ( domain_of @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl896]) ).
thf(zip_derived_cl901_008,plain,
( ( domain @ sk__13 @ sk__12 @ sk__14 )
= ( domain_of @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl896]) ).
thf(zip_derived_cl906,plain,
( ~ ( subset @ ( domain_of @ sk__14 ) @ sk__13 )
| ( ( domain_of @ sk__14 )
= sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl901,zip_derived_cl901]) ).
thf(zip_derived_cl62,plain,
( ( sk__13
!= ( domain @ sk__13 @ sk__12 @ sk__14 ) )
| ~ ( subset @ sk__13 @ ( range @ sk__13 @ sk__12 @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_009,plain,
subset @ ( identity_relation_of @ sk__13 ) @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61_010,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( subset @ X3 @ ( range @ X2 @ X0 @ X1 ) )
| ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl59_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( subset @ X3 @ ( range @ X2 @ X0 @ X1 ) )
| ~ ( subset @ ( identity_relation_of @ X3 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl59,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ~ ( subset @ ( identity_relation_of @ X0 ) @ sk__14 )
| ( subset @ X0 @ ( range @ sk__13 @ sk__12 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl118]) ).
thf(zip_derived_cl246,plain,
subset @ sk__13 @ ( range @ sk__13 @ sk__12 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl120]) ).
thf(zip_derived_cl251,plain,
( sk__13
!= ( domain @ sk__13 @ sk__12 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl246]) ).
thf(zip_derived_cl901_014,plain,
( ( domain @ sk__13 @ sk__12 @ sk__14 )
= ( domain_of @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl896]) ).
thf(zip_derived_cl908,plain,
( sk__13
!= ( domain_of @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl901]) ).
thf(zip_derived_cl985,plain,
~ ( subset @ ( domain_of @ sk__14 ) @ sk__13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl906,zip_derived_cl908]) ).
thf(p7,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_cl11,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)],[p7]) ).
thf(zip_derived_cl59_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl61_017,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p29,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_cl56,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)],[p29]) ).
thf(zip_derived_cl59_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl1688,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_cl56,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl1694,plain,
ilf_type @ ( domain @ sk__13 @ sk__12 @ sk__14 ) @ ( subset_type @ sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1688]) ).
thf(zip_derived_cl901_020,plain,
( ( domain @ sk__13 @ sk__12 @ sk__14 )
= ( domain_of @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl896]) ).
thf(zip_derived_cl1698,plain,
ilf_type @ ( domain_of @ sk__14 ) @ ( subset_type @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl1694,zip_derived_cl901]) ).
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_cl30,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_cl59_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl342,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_cl30,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl1729,plain,
ilf_type @ ( domain_of @ sk__14 ) @ ( member_type @ ( power_set @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1698,zip_derived_cl342]) ).
thf(p22,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_cl42,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)],[p22]) ).
thf(zip_derived_cl59_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl415,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl1746,plain,
( ( member @ ( domain_of @ sk__14 ) @ ( power_set @ sk__13 ) )
| ( empty @ ( power_set @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1729,zip_derived_cl415]) ).
thf(p21,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl59_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl59]) ).
thf(zip_derived_cl1768,plain,
member @ ( domain_of @ sk__14 ) @ ( power_set @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl1746,zip_derived_cl65]) ).
thf(p20,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_cl35,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)],[p20]) ).
thf(zip_derived_cl59_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_027,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_028,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl1036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl59,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl1773,plain,
! [X0: $i] :
( ( member @ X0 @ sk__13 )
| ~ ( member @ X0 @ ( domain_of @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1768,zip_derived_cl1036]) ).
thf(zip_derived_cl1833,plain,
! [X0: $i] :
( ( subset @ ( domain_of @ sk__14 ) @ X0 )
| ( member @ ( sk__1 @ X0 @ ( domain_of @ sk__14 ) ) @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl1773]) ).
thf(zip_derived_cl12,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)],[p7]) ).
thf(zip_derived_cl59_029,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl59_030,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p32]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl12842,plain,
( ( subset @ ( domain_of @ sk__14 ) @ sk__13 )
| ( subset @ ( domain_of @ sk__14 ) @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1833,zip_derived_cl103]) ).
thf(zip_derived_cl12883,plain,
subset @ ( domain_of @ sk__14 ) @ sk__13,
inference(simplify,[status(thm)],[zip_derived_cl12842]) ).
thf(zip_derived_cl12941,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl985,zip_derived_cl12883]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET668+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.1sI7tHlDuJ true
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 12:26:12 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.16/0.56 % Total configuration time : 435
% 0.16/0.56 % Estimated wc time : 1092
% 0.16/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 13.66/2.66 % Solved by fo/fo5.sh.
% 13.66/2.66 % done 1134 iterations in 1.922s
% 13.66/2.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.66/2.66 % SZS output start Refutation
% See solution above
% 13.66/2.66
% 13.66/2.66
% 13.66/2.66 % Terminating...
% 13.66/2.73 % Runner terminated.
% 13.66/2.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------