TSTP Solution File: SET678+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET678+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.QMbmbZxpQw true
% Computer : n012.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 16:15:33 EDT 2023
% Result : Theorem 3.19s 1.11s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 39
% Syntax : Number of formulae : 145 ( 51 unt; 22 typ; 0 def)
% Number of atoms : 280 ( 28 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1018 ( 105 ~; 100 |; 6 &; 756 @)
% ( 6 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 5 con; 0-3 aty)
% Number of variables : 173 ( 0 ^; 173 !; 0 ?; 173 :)
% Comments :
%------------------------------------------------------------------------------
thf(range_of_type,type,
range_of: $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(compose_type,type,
compose: $i > $i > $i ).
thf(identity_relation_of_type_type,type,
identity_relation_of_type: $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(identity_relation_of_type,type,
identity_relation_of: $i > $i ).
thf(p13,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)],[p13]) ).
thf(zip_derived_cl87,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(p38,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl67,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl67]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ binary_relation_type )
=> ( ( subset @ ( domain_of @ C ) @ B )
=> ( ( compose @ ( identity_relation_of @ B ) @ C )
= C ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ( ( compose @ ( identity_relation_of @ X1 ) @ X0 )
= X0 )
| ~ ( subset @ ( domain_of @ X0 ) @ X1 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl67_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl1015,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ( ( compose @ ( identity_relation_of @ X1 ) @ X0 )
= X0 )
| ~ ( subset @ ( domain_of @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl67]) ).
thf(zip_derived_cl88_002,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl67]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ binary_relation_type )
=> ( ( subset @ ( range_of @ C ) @ B )
=> ( ( compose @ C @ ( identity_relation_of @ B ) )
= C ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ( ( compose @ X0 @ ( identity_relation_of @ X1 ) )
= X0 )
| ~ ( subset @ ( range_of @ X0 ) @ X1 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl67_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl1081,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ( ( compose @ X0 @ ( identity_relation_of @ X1 ) )
= X0 )
| ~ ( subset @ ( range_of @ X0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl67]) ).
thf(prove_relset_1_45,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ ( identity_relation_of_type @ B ) )
=> ( ( ( compose @ C @ ( identity_relation_of @ B ) )
= C )
& ( ( compose @ ( identity_relation_of @ B ) @ C )
= C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ ( identity_relation_of_type @ B ) )
=> ( ( ( compose @ C @ ( identity_relation_of @ B ) )
= C )
& ( ( compose @ ( identity_relation_of @ B ) @ C )
= C ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_45]) ).
thf(zip_derived_cl69,plain,
( ( ( compose @ sk__15 @ ( identity_relation_of @ sk__14 ) )
!= sk__15 )
| ( ( compose @ ( identity_relation_of @ sk__14 ) @ sk__15 )
!= sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1085,plain,
( ( sk__15 != sk__15 )
| ~ ( subset @ ( range_of @ sk__15 ) @ sk__14 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ( ( compose @ ( identity_relation_of @ sk__14 ) @ sk__15 )
!= sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1081,zip_derived_cl69]) ).
thf(zip_derived_cl1091,plain,
( ( ( compose @ ( identity_relation_of @ sk__14 ) @ sk__15 )
!= sk__15 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type )
| ~ ( subset @ ( range_of @ sk__15 ) @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1085]) ).
thf(zip_derived_cl1100,plain,
( ~ ( relation_like @ sk__15 )
| ~ ( subset @ ( range_of @ sk__15 ) @ sk__14 )
| ( ( compose @ ( identity_relation_of @ sk__14 ) @ sk__15 )
!= sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl1091]) ).
thf(zip_derived_cl70,plain,
ilf_type @ sk__15 @ ( identity_relation_of_type @ 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 )
=> ( ( ilf_type @ C @ ( identity_relation_of_type @ B ) )
<=> ( ilf_type @ C @ ( relation_type @ B @ B ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) )
| ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p7]) ).
thf(zip_derived_cl67_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) )
| ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl126,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__14 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl124]) ).
thf(p15,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_cl27,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)],[p15]) ).
thf(zip_derived_cl67_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl306,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_cl27,zip_derived_cl67,zip_derived_cl67]) ).
thf(p25,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_cl47,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)],[p25]) ).
thf(zip_derived_cl67_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl91,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_cl47,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl91]) ).
thf(zip_derived_cl314,plain,
relation_like @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl307]) ).
thf(zip_derived_cl1101,plain,
( ~ ( subset @ ( range_of @ sk__15 ) @ sk__14 )
| ( ( compose @ ( identity_relation_of @ sk__14 ) @ sk__15 )
!= sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1100,zip_derived_cl314]) ).
thf(p19,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_cl33,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__6 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl67_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__6 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl126_012,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__14 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl124]) ).
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 ) )
=> ( ilf_type @ ( range @ B @ C @ D ) @ ( subset_type @ C ) ) ) ) ) ).
thf(zip_derived_cl64,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)],[p35]) ).
thf(zip_derived_cl67_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl609,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_cl64,zip_derived_cl67,zip_derived_cl67]) ).
thf(p22,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_cl38,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)],[p22]) ).
thf(zip_derived_cl67_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl184,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_cl38,zip_derived_cl67,zip_derived_cl67]) ).
thf(p28,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_cl55,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)],[p28]) ).
thf(zip_derived_cl67_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ( member @ X1 @ ( power_set @ X0 ) )
| ( empty @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl136]) ).
thf(p27,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl67_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl67]) ).
thf(zip_derived_cl187,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl75]) ).
thf(zip_derived_cl612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( member @ ( range @ X2 @ X0 @ X1 ) @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl187]) ).
thf(zip_derived_cl625,plain,
member @ ( range @ sk__14 @ sk__14 @ sk__15 ) @ ( power_set @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl612]) ).
thf(zip_derived_cl126_020,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__14 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl124]) ).
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 ) )
=> ( ( range @ B @ C @ D )
= ( range_of @ D ) ) ) ) ) ).
thf(zip_derived_cl63,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)],[p34]) ).
thf(zip_derived_cl67_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl140,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_cl63,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl142,plain,
( ( range @ sk__14 @ sk__14 @ sk__15 )
= ( range_of @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl140]) ).
thf(zip_derived_cl628,plain,
member @ ( range_of @ sk__15 ) @ ( power_set @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl625,zip_derived_cl142]) ).
thf(p26,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_cl48,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)],[p26]) ).
thf(zip_derived_cl67_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl67,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl669,plain,
! [X0: $i] :
( ( member @ X0 @ sk__14 )
| ~ ( member @ X0 @ ( range_of @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl129]) ).
thf(zip_derived_cl679,plain,
! [X0: $i] :
( ( subset @ ( range_of @ sk__15 ) @ X0 )
| ( member @ ( sk__6 @ X0 @ ( range_of @ sk__15 ) ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl669]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__6 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl67_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_027,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__6 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl1717,plain,
( ( subset @ ( range_of @ sk__15 ) @ sk__14 )
| ( subset @ ( range_of @ sk__15 ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl679,zip_derived_cl93]) ).
thf(zip_derived_cl1718,plain,
subset @ ( range_of @ sk__15 ) @ sk__14,
inference(simplify,[status(thm)],[zip_derived_cl1717]) ).
thf(zip_derived_cl1719,plain,
( ( compose @ ( identity_relation_of @ sk__14 ) @ sk__15 )
!= sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl1101,zip_derived_cl1718]) ).
thf(zip_derived_cl1721,plain,
( ( sk__15 != sk__15 )
| ~ ( subset @ ( domain_of @ sk__15 ) @ sk__14 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type ) ),
inference('sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl1719]) ).
thf(zip_derived_cl244_028,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__6 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl126_029,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__14 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl124]) ).
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 @ ( domain @ B @ C @ D ) @ ( subset_type @ B ) ) ) ) ) ).
thf(zip_derived_cl62,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)],[p33]) ).
thf(zip_derived_cl67_030,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_031,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl507,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_cl62,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl187_032,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl75]) ).
thf(zip_derived_cl510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X0 @ X2 ) )
| ( member @ ( domain @ X0 @ X2 @ X1 ) @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl187]) ).
thf(zip_derived_cl523,plain,
member @ ( domain @ sk__14 @ sk__14 @ sk__15 ) @ ( power_set @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl510]) ).
thf(zip_derived_cl126_033,plain,
ilf_type @ sk__15 @ ( relation_type @ sk__14 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl124]) ).
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 ) )
=> ( ( domain @ B @ C @ D )
= ( domain_of @ D ) ) ) ) ) ).
thf(zip_derived_cl61,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)],[p32]) ).
thf(zip_derived_cl67_034,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl67_035,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p38]) ).
thf(zip_derived_cl139,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_cl61,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl141,plain,
( ( domain @ sk__14 @ sk__14 @ sk__15 )
= ( domain_of @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl139]) ).
thf(zip_derived_cl526,plain,
member @ ( domain_of @ sk__15 ) @ ( power_set @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl523,zip_derived_cl141]) ).
thf(zip_derived_cl129_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl67,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl530,plain,
! [X0: $i] :
( ( member @ X0 @ sk__14 )
| ~ ( member @ X0 @ ( domain_of @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl129]) ).
thf(zip_derived_cl531,plain,
! [X0: $i] :
( ( subset @ ( domain_of @ sk__15 ) @ X0 )
| ( member @ ( sk__6 @ X0 @ ( domain_of @ sk__15 ) ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl530]) ).
thf(zip_derived_cl93_037,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__6 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl1344,plain,
( ( subset @ ( domain_of @ sk__15 ) @ sk__14 )
| ( subset @ ( domain_of @ sk__15 ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl93]) ).
thf(zip_derived_cl1345,plain,
subset @ ( domain_of @ sk__15 ) @ sk__14,
inference(simplify,[status(thm)],[zip_derived_cl1344]) ).
thf(zip_derived_cl1722,plain,
( ( sk__15 != sk__15 )
| ~ ( ilf_type @ sk__15 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl1721,zip_derived_cl1345]) ).
thf(zip_derived_cl1723,plain,
~ ( ilf_type @ sk__15 @ binary_relation_type ),
inference(simplify,[status(thm)],[zip_derived_cl1722]) ).
thf(zip_derived_cl1724,plain,
~ ( relation_like @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl1723]) ).
thf(zip_derived_cl314_038,plain,
relation_like @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl307]) ).
thf(zip_derived_cl1725,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1724,zip_derived_cl314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET678+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.QMbmbZxpQw true
% 0.13/0.34 % Computer : n012.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 15:21:10 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /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
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.19/1.11 % Solved by fo/fo7.sh.
% 3.19/1.11 % done 436 iterations in 0.260s
% 3.19/1.11 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.19/1.11 % SZS output start Refutation
% See solution above
% 3.19/1.11
% 3.19/1.11
% 3.19/1.11 % Terminating...
% 3.78/1.15 % Runner terminated.
% 3.78/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------