TSTP Solution File: SET655+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET655+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.zzrWzWOKHh true
% Computer : n025.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 16:15:21 EDT 2023
% Result : Theorem 81.14s 12.24s
% Output : Refutation 81.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 29
% Syntax : Number of formulae : 132 ( 48 unt; 17 typ; 0 def)
% Number of atoms : 297 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1072 ( 130 ~; 129 |; 7 &; 760 @)
% ( 5 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 197 ( 0 ^; 197 !; 0 ?; 197 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(p3,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_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(p19,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl35,zip_derived_cl35]) ).
thf(prove_relset_1_17,conjecture,
! [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 )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ B @ D ) )
=> ( ( ( subset @ B @ C )
& ( subset @ D @ E ) )
=> ( ilf_type @ F @ ( relation_type @ C @ E ) ) ) ) ) ) ) ) ).
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 @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ B @ D ) )
=> ( ( ( subset @ B @ C )
& ( subset @ D @ E ) )
=> ( ilf_type @ F @ ( relation_type @ C @ E ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_17]) ).
thf(zip_derived_cl39,plain,
~ ( ilf_type @ sk__13 @ ( relation_type @ sk__10 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl425,plain,
~ ( ilf_type @ sk__13 @ ( subset_type @ ( cross_product @ sk__10 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl39]) ).
thf(p10,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_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__3 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p10]) ).
thf(zip_derived_cl35_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl476,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__3 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl35,zip_derived_cl35]) ).
thf(p9,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( subset @ B @ B ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( subset @ X0 @ X0 )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p9]) ).
thf(zip_derived_cl35_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl381,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl35]) ).
thf(zip_derived_cl41,plain,
subset @ sk__9 @ sk__10,
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 @ set_type )
=> ( ( ( subset @ B @ C )
& ( subset @ D @ E ) )
=> ( subset @ ( cross_product @ B @ D ) @ ( cross_product @ C @ E ) ) ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( subset @ ( cross_product @ X2 @ X3 ) @ ( cross_product @ X0 @ X1 ) )
| ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl35_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( cross_product @ X2 @ X3 ) @ ( cross_product @ X0 @ X1 ) )
| ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(p5,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_cl6,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)],[p5]) ).
thf(zip_derived_cl35_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl443,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl2,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)],[p3]) ).
thf(zip_derived_cl35_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl399,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_cl2,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl38,plain,
ilf_type @ sk__13 @ ( relation_type @ sk__9 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl400,plain,
ilf_type @ sk__13 @ ( subset_type @ ( cross_product @ sk__9 @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl399,zip_derived_cl38]) ).
thf(p7,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_cl10,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)],[p7]) ).
thf(zip_derived_cl35_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl398,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_cl10,zip_derived_cl35,zip_derived_cl35]) ).
thf(p12,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_cl21,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)],[p12]) ).
thf(p11,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p11]) ).
thf(zip_derived_cl337,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ set_type )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) )
| ~ ( ilf_type @ ( power_set @ X0 ) @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).
thf(zip_derived_cl35_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl553,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl14,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)],[p10]) ).
thf(zip_derived_cl35_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) )
| ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl433]) ).
thf(zip_derived_cl909,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl557]) ).
thf(zip_derived_cl952,plain,
! [X0: $i] :
( ( member @ X0 @ ( cross_product @ sk__9 @ sk__11 ) )
| ~ ( member @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl400,zip_derived_cl909]) ).
thf(zip_derived_cl7,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)],[p5]) ).
thf(zip_derived_cl35_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl391,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl970,plain,
! [X0: $i] :
( ~ ( member @ ( sk__1 @ ( cross_product @ sk__9 @ sk__11 ) @ X0 ) @ sk__13 )
| ( subset @ X0 @ ( cross_product @ sk__9 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl952,zip_derived_cl391]) ).
thf(zip_derived_cl1015,plain,
( ( subset @ sk__13 @ ( cross_product @ sk__9 @ sk__11 ) )
| ( subset @ sk__13 @ ( cross_product @ sk__9 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl970]) ).
thf(zip_derived_cl1016,plain,
subset @ sk__13 @ ( cross_product @ sk__9 @ sk__11 ),
inference(simplify,[status(thm)],[zip_derived_cl1015]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( ( subset @ B @ C )
& ( subset @ C @ D ) )
=> ( subset @ B @ D ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl35_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl1018,plain,
! [X0: $i] :
( ( subset @ sk__13 @ X0 )
| ~ ( subset @ ( cross_product @ sk__9 @ sk__11 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1016,zip_derived_cl376]) ).
thf(zip_derived_cl387_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( cross_product @ X2 @ X3 ) @ ( cross_product @ X0 @ X1 ) )
| ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl1024,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__13 @ ( cross_product @ X1 @ X0 ) )
| ~ ( subset @ sk__9 @ X1 )
| ~ ( subset @ sk__11 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1018,zip_derived_cl387]) ).
thf(zip_derived_cl376_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl1030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ~ ( subset @ sk__9 @ X1 )
| ( subset @ sk__13 @ X2 )
| ~ ( subset @ ( cross_product @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl376]) ).
thf(zip_derived_cl1045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subset @ X3 @ X1 )
| ~ ( subset @ X2 @ X0 )
| ( subset @ sk__13 @ ( cross_product @ X1 @ X0 ) )
| ~ ( subset @ sk__9 @ X3 )
| ~ ( subset @ sk__11 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl387,zip_derived_cl1030]) ).
thf(zip_derived_cl1135,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ~ ( subset @ sk__9 @ sk__9 )
| ( subset @ sk__13 @ ( cross_product @ sk__10 @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl1045]) ).
thf(zip_derived_cl381_028,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl35]) ).
thf(zip_derived_cl1148,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ( subset @ sk__13 @ ( cross_product @ sk__10 @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl381]) ).
thf(zip_derived_cl1149,plain,
! [X0: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ( subset @ sk__13 @ ( cross_product @ sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl1148]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p5]) ).
thf(zip_derived_cl35_029,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_030,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_031,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl1159,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ( member @ X1 @ ( cross_product @ sk__10 @ X0 ) )
| ~ ( member @ X1 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1149,zip_derived_cl408]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p10]) ).
thf(zip_derived_cl35_032,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_033,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl392,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl1407,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__3 @ ( cross_product @ sk__10 @ X0 ) @ X1 ) @ sk__13 )
| ~ ( subset @ sk__11 @ X0 )
| ( member @ X1 @ ( power_set @ ( cross_product @ sk__10 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1159,zip_derived_cl392]) ).
thf(zip_derived_cl80128,plain,
! [X0: $i] :
( ( member @ sk__13 @ ( power_set @ ( cross_product @ sk__10 @ X0 ) ) )
| ( member @ sk__13 @ ( power_set @ ( cross_product @ sk__10 @ X0 ) ) )
| ~ ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl1407]) ).
thf(zip_derived_cl80132,plain,
! [X0: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ( member @ sk__13 @ ( power_set @ ( cross_product @ sk__10 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl80128]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p12]) ).
thf(p14,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p14]) ).
thf(zip_derived_cl335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ set_type )
| ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( member @ X2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl25]) ).
thf(zip_derived_cl528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X2 @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(simplify,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl35_034,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_035,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_036,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X2 @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl528,zip_derived_cl35,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl530,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl529]) ).
thf(zip_derived_cl80144,plain,
! [X0: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ( ilf_type @ sk__13 @ ( member_type @ ( power_set @ ( cross_product @ sk__10 @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl80132,zip_derived_cl530]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p7]) ).
thf(zip_derived_cl35_037,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl35_038,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl35,zip_derived_cl35]) ).
thf(zip_derived_cl80156,plain,
! [X0: $i] :
( ~ ( subset @ sk__11 @ X0 )
| ( ilf_type @ sk__13 @ ( subset_type @ ( cross_product @ sk__10 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl80144,zip_derived_cl405]) ).
thf(zip_derived_cl80172,plain,
~ ( subset @ sk__11 @ sk__12 ),
inference('sup+',[status(thm)],[zip_derived_cl425,zip_derived_cl80156]) ).
thf(zip_derived_cl40,plain,
subset @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80173,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl80172,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET655+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.zzrWzWOKHh true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:18:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 81.14/12.24 % Solved by fo/fo3_bce.sh.
% 81.14/12.24 % BCE start: 44
% 81.14/12.24 % BCE eliminated: 0
% 81.14/12.24 % PE start: 44
% 81.14/12.24 logic: eq
% 81.14/12.24 % PE eliminated: -22
% 81.14/12.24 % done 5139 iterations in 11.466s
% 81.14/12.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 81.14/12.24 % SZS output start Refutation
% See solution above
% 81.14/12.24
% 81.14/12.24
% 81.14/12.24 % Terminating...
% 81.67/12.38 % Runner terminated.
% 81.67/12.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------