%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET645+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.1du0dkitsI true
% Computer : n006.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 04:52:33 PM UTC 2025
% Result : Theorem 0.55s 0.83s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 484 ( 47 ~; 43 |; 6 &; 355 @)
% ( 4 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 93 !; 0 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type_type,type,
member_type: $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(prove_relset_1_7,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 @ C ) )
=> ( ( member @ ( ordered_pair @ D @ E ) @ F )
=> ( ( member @ D @ B )
& ( member @ E @ C ) ) ) ) ) ) ) ) ).
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 @ C ) )
=> ( ( member @ ( ordered_pair @ D @ E ) @ F )
=> ( ( member @ D @ B )
& ( member @ E @ C ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_7]) ).
thf(zip_derived_cl46,plain,
( ~ ( member @ sk__11 @ sk__9 )
| ~ ( member @ sk__12 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45,plain,
member @ ( ordered_pair @ sk__11 @ sk__12 ) @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
ilf_type @ sk__13 @ ( relation_type @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p4,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_cl6,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)],[p4]) ).
thf(p21,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl128,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_cl6,zip_derived_cl41,zip_derived_cl41]) ).
thf(zip_derived_cl129,plain,
ilf_type @ sk__13 @ ( subset_type @ ( cross_product @ sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl128]) ).
thf(p10,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_cl13,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)],[p10]) ).
thf(zip_derived_cl41_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl114,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_cl13,zip_derived_cl41,zip_derived_cl41]) ).
thf(p15,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_cl28,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)],[p15]) ).
thf(zip_derived_cl41_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl41,zip_derived_cl41]) ).
thf(p13,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_cl21,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)],[p13]) ).
thf(zip_derived_cl41_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl41,zip_derived_cl41,zip_derived_cl41]) ).
thf(zip_derived_cl143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) )
| ( empty @ ( power_set @ X0 ) )
| ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl78]) ).
thf(p14,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p14]) ).
thf(zip_derived_cl41_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl41]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( member_type @ ( power_set @ X0 ) ) )
| ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl49]) ).
thf(zip_derived_cl155,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_cl114,zip_derived_cl152]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ( member @ X0 @ ( cross_product @ sk__9 @ sk__10 ) )
| ~ ( member @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl155]) ).
thf(zip_derived_cl205,plain,
member @ ( ordered_pair @ sk__11 @ sk__12 ) @ ( cross_product @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl193]) ).
thf(p1,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 )
=> ( ( member @ ( ordered_pair @ B @ C ) @ ( cross_product @ D @ E ) )
<=> ( ( member @ B @ D )
& ( member @ 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 )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X0 @ X1 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl41_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl41,zip_derived_cl41,zip_derived_cl41,zip_derived_cl41]) ).
thf(zip_derived_cl235,plain,
member @ sk__12 @ sk__10,
inference('sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl116]) ).
thf(zip_derived_cl237,plain,
~ ( member @ sk__11 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl235]) ).
thf(zip_derived_cl205_014,plain,
member @ ( ordered_pair @ sk__11 @ sk__12 ) @ ( cross_product @ sk__9 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl193]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X2 @ X3 )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl41_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl41_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ( member @ X2 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl41,zip_derived_cl41,zip_derived_cl41,zip_derived_cl41]) ).
thf(zip_derived_cl236,plain,
member @ sk__11 @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl117]) ).
thf(zip_derived_cl245,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET645+3 : TPTP v9.2.0. Released v2.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1du0dkitsI true
% 0.13/0.34 % Computer : n006.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 : Wed Oct 1 13:02:23 EDT 2025
% 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.46/0.61 % Total configuration time : 435
% 0.46/0.61 % Estimated wc time : 1092
% 0.46/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.83 % Solved by fo/fo7.sh.
% 0.55/0.83 % done 94 iterations in 0.069s
% 0.55/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.83 % SZS output start Refutation
% See solution above
% 0.55/0.83
% 0.55/0.83
% 0.55/0.83 % Terminating...
% 1.90/0.93 % Runner terminated.
% 1.90/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------