%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET656+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lLLnbThTxk true
% Computer : n023.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 Oct 2 04:52:36 PM UTC 2025
% Result : Theorem 6.50s 1.52s
% Output : Refutation 6.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 149 ( 16 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 540 ( 61 ~; 62 |; 3 &; 384 @)
% ( 4 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 89 ( 0 ^; 89 !; 0 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(p17,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__7 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p17]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( subset @ B @ C )
=> ( ( intersection @ B @ C )
= B ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl693,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ set_type )
| ( member @ ( sk__7 @ X0 @ X1 ) @ X1 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl0]) ).
thf(zip_derived_cl1219,plain,
! [X0: $i,X1: $i] :
( ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__7 @ X0 @ X1 ) @ X1 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(simplify,[status(thm)],[zip_derived_cl693]) ).
thf(p30,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl64,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl1220,plain,
! [X0: $i,X1: $i] :
( ( ( intersection @ X1 @ X0 )
= X1 )
| ( member @ ( sk__7 @ X0 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1219,zip_derived_cl64,zip_derived_cl64]) ).
thf(p6,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
& ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl64_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl935,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_cl12,zip_derived_cl64,zip_derived_cl64]) ).
thf(prove_relset_1_18,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( intersection @ D @ ( cross_product @ B @ C ) )
= D ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( intersection @ D @ ( cross_product @ B @ C ) )
= D ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_18]) ).
thf(zip_derived_cl66,plain,
ilf_type @ sk__17 @ ( relation_type @ sk__15 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl937,plain,
ilf_type @ sk__17 @ ( subset_type @ ( cross_product @ sk__15 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl935,zip_derived_cl66]) ).
thf(p13,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_cl27,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)],[p13]) ).
thf(zip_derived_cl64_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl810,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_cl27,zip_derived_cl64,zip_derived_cl64]) ).
thf(p21,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_cl44,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)],[p21]) ).
thf(p20,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl704,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_cl44,zip_derived_cl41]) ).
thf(zip_derived_cl64_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl1086,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl64,zip_derived_cl64,zip_derived_cl64]) ).
thf(p19,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_cl37,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)],[p19]) ).
thf(zip_derived_cl64_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl64,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl1094,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_cl1086,zip_derived_cl878]) ).
thf(zip_derived_cl1284,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_cl810,zip_derived_cl1094]) ).
thf(zip_derived_cl1311,plain,
! [X0: $i] :
( ( member @ X0 @ ( cross_product @ sk__15 @ sk__16 ) )
| ~ ( member @ X0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl937,zip_derived_cl1284]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__7 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p17]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl695,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ set_type )
| ~ ( member @ ( sk__7 @ X0 @ X1 ) @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl0]) ).
thf(zip_derived_cl1057,plain,
! [X0: $i,X1: $i] :
( ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__7 @ X0 @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(simplify,[status(thm)],[zip_derived_cl695]) ).
thf(zip_derived_cl64_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl1058,plain,
! [X0: $i,X1: $i] :
( ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( member @ ( sk__7 @ X0 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1057,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl1326,plain,
! [X0: $i] :
( ~ ( member @ ( sk__7 @ ( cross_product @ sk__15 @ sk__16 ) @ X0 ) @ sk__17 )
| ( ( intersection @ X0 @ ( cross_product @ sk__15 @ sk__16 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1311,zip_derived_cl1058]) ).
thf(zip_derived_cl4288,plain,
( ( ( intersection @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) )
= sk__17 )
| ( ( intersection @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) )
= sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1220,zip_derived_cl1326]) ).
thf(zip_derived_cl4290,plain,
( ( intersection @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) )
= sk__17 ),
inference(simplify,[status(thm)],[zip_derived_cl4288]) ).
thf(zip_derived_cl67,plain,
( ( intersection @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) )
!= sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4291,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4290,zip_derived_cl67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET656+3 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lLLnbThTxk true
% 0.12/0.35 % Computer : n023.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 12:56:53 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.50/0.61 % Total configuration time : 435
% 0.50/0.61 % Estimated wc time : 1092
% 0.50/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.50/1.52 % Solved by fo/fo3_bce.sh.
% 6.50/1.52 % BCE start: 69
% 6.50/1.52 % BCE eliminated: 2
% 6.50/1.52 % PE start: 67
% 6.50/1.52 logic: eq
% 6.50/1.52 % PE eliminated: -8
% 6.50/1.52 % done 608 iterations in 0.770s
% 6.50/1.52 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.50/1.52 % SZS output start Refutation
% See solution above
% 6.75/1.52
% 6.75/1.52
% 6.75/1.52 % Terminating...
% 7.23/1.66 % Runner terminated.
% 7.23/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------