%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET679+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.ZC5RBZ603H true
% Computer : n009.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 04:52:40 PM UTC 2025
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 12 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 254 ( 36 ~; 27 |; 3 &; 170 @)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(not_equal_type,type,
not_equal: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(identity_relation_of_type,type,
identity_relation_of: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(prove_relset_1_46,conjecture,
! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ( not_equal @ ( identity_relation_of @ B ) @ empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ( not_equal @ ( identity_relation_of @ B ) @ empty_set ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_46]) ).
thf(zip_derived_cl46,plain,
~ ( empty @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p6,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( B = C )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
<=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( X1 = X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(p22,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl45_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl459,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( X1 = X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl45,zip_derived_cl45]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ~ ( member @ B @ empty_set ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( member @ X0 @ empty_set )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl45_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl422,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl45]) ).
thf(zip_derived_cl461,plain,
! [X0: $i] :
( ( empty_set = X0 )
| ( member @ ( sk_ @ X0 @ empty_set ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl422]) ).
thf(p7,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( not_equal @ B @ C )
<=> ( B != C ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( X1 = X0 )
| ( not_equal @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p7]) ).
thf(zip_derived_cl48,plain,
~ ( not_equal @ ( identity_relation_of @ sk__9 ) @ empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367,plain,
( ~ ( ilf_type @ ( identity_relation_of @ sk__9 ) @ set_type )
| ( ( identity_relation_of @ sk__9 )
= empty_set )
| ~ ( ilf_type @ empty_set @ set_type ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl48]) ).
thf(zip_derived_cl45_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl45_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl421,plain,
( ( identity_relation_of @ sk__9 )
= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl45,zip_derived_cl45]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ ( ordered_pair @ C @ D ) @ ( identity_relation_of @ B ) )
<=> ( ( member @ C @ B )
& ( C = D ) ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X0 @ X1 )
| ( X0 != X2 )
| ( member @ ( ordered_pair @ X0 @ X2 ) @ ( identity_relation_of @ X1 ) )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl45_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl45_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl45_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( X0 != X2 )
| ( member @ ( ordered_pair @ X0 @ X2 ) @ ( identity_relation_of @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl45,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i] :
( ( member @ ( ordered_pair @ X1 @ X1 ) @ ( identity_relation_of @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl440]) ).
thf(p8,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p8]) ).
thf(zip_derived_cl45_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl45_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p22]) ).
thf(zip_derived_cl433,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl488,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ X0 )
| ~ ( empty @ ( identity_relation_of @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl433]) ).
thf(zip_derived_cl496,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__9 )
| ~ ( empty @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl488]) ).
thf(p3a,axiom,
empty @ empty_set ).
thf(zip_derived_cl3,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[p3a]) ).
thf(zip_derived_cl497,plain,
! [X0: $i] :
~ ( member @ X0 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl496,zip_derived_cl3]) ).
thf(zip_derived_cl500,plain,
empty_set = sk__9,
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl497]) ).
thf(zip_derived_cl3_010,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[p3a]) ).
thf(zip_derived_cl503,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl500,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET679+3 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZC5RBZ603H true
% 0.14/0.35 % Computer : n009.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 : Wed Oct 1 13:13:53 EDT 2025
% 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
% 0.14/0.36 % Running in FO mode
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % Solved by fo/fo6_bce.sh.
% 0.55/0.77 % BCE start: 49
% 0.55/0.77 % BCE eliminated: 2
% 0.55/0.77 % PE start: 47
% 0.55/0.77 logic: eq
% 0.55/0.77 % PE eliminated: 1
% 0.55/0.77 % done 52 iterations in 0.031s
% 0.55/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 0.55/0.84 % Runner terminated.
% 0.55/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------