%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET666+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.KvjC36tUbn 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 Oct 2 04:52:37 PM UTC 2025
% Result : Theorem 0.91s 0.70s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 483 ( 45 ~; 44 |; 2 &; 363 @)
% ( 6 <=>; 23 =>; 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 : 15 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 93 !; 0 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_type,type,
empty: $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(identity_relation_of_type_type,type,
identity_relation_of_type: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(identity_relation_of_type,type,
identity_relation_of: $i > $i ).
thf(prove_relset_1_29,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( identity_relation_of @ B ) @ ( identity_relation_of_type @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( identity_relation_of @ B ) @ ( identity_relation_of_type @ B ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_29]) ).
thf(zip_derived_cl47,plain,
~ ( ilf_type @ ( identity_relation_of @ sk__11 ) @ ( identity_relation_of_type @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p16,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_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p16]) ).
thf(p24,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl189,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl45,zip_derived_cl45]) ).
thf(p3,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( subset @ ( identity_relation_of @ B ) @ ( cross_product @ B @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( subset @ ( identity_relation_of @ X0 ) @ ( cross_product @ X0 @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(zip_derived_cl45_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] : ( subset @ ( identity_relation_of @ X0 ) @ ( cross_product @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl45]) ).
thf(p14,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_cl20,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)],[p14]) ).
thf(zip_derived_cl45_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl45,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ ( cross_product @ X0 @ X0 ) )
| ~ ( member @ X1 @ ( identity_relation_of @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl100]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p16]) ).
thf(zip_derived_cl45_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__5 @ ( cross_product @ X0 @ X0 ) @ X1 ) @ ( identity_relation_of @ X0 ) )
| ( member @ X1 @ ( power_set @ ( cross_product @ X0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl108]) ).
thf(zip_derived_cl366,plain,
! [X0: $i] :
( ( member @ ( identity_relation_of @ X0 ) @ ( power_set @ ( cross_product @ X0 @ X0 ) ) )
| ( member @ ( identity_relation_of @ X0 ) @ ( power_set @ ( cross_product @ X0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl164]) ).
thf(zip_derived_cl367,plain,
! [X0: $i] : ( member @ ( identity_relation_of @ X0 ) @ ( power_set @ ( cross_product @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl366]) ).
thf(p18,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_cl31,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)],[p18]) ).
thf(zip_derived_cl45_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl45,zip_derived_cl45]) ).
thf(p22,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl45_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl118,zip_derived_cl56]) ).
thf(p12,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_cl18,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)],[p12]) ).
thf(zip_derived_cl45_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl103,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_cl18,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl103]) ).
thf(p1,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_cl1,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)],[p1]) ).
thf(zip_derived_cl45_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl77,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_cl1,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X2 @ ( power_set @ ( cross_product @ X1 @ X0 ) ) )
| ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl77]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] : ( ilf_type @ ( identity_relation_of @ X0 ) @ ( relation_type @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl134]) ).
thf(p6,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_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl45_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl45_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl435,plain,
! [X0: $i] : ( ilf_type @ ( identity_relation_of @ X0 ) @ ( identity_relation_of_type @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl97]) ).
thf(zip_derived_cl438,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : SET666+3 : TPTP v9.2.0. Released v2.2.0.
% 0.10/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KvjC36tUbn true
% 0.17/0.37 % Computer : n025.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Wed Oct 1 13:09:38 EDT 2025
% 0.17/0.37 % CPUTime :
% 0.17/0.37 % Running portfolio for 300 s
% 0.17/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.37 % Number of cores: 8
% 0.17/0.37 % Python version: Python 3.6.8
% 0.17/0.37 % Running in FO mode
% 0.23/0.55 % Total configuration time : 435
% 0.23/0.55 % Estimated wc time : 1092
% 0.23/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.91/0.70 % Solved by fo/fo4.sh.
% 0.91/0.70 % done 196 iterations in 0.067s
% 0.91/0.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.91/0.70 % SZS output start Refutation
% See solution above
% 0.98/0.70
% 0.98/0.70
% 0.98/0.70 % Terminating...
% 0.98/0.76 % Runner terminated.
% 1.22/0.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------