%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET063^4 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w6TPGwqQk2 true
% Computer : n016.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 04:51:23 PM UTC 2025
% Result : Theorem 1.34s 0.83s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 42 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 18 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 241 ( 14 ~; 7 |; 5 &; 205 @)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 83 ( 52 ^; 31 !; 0 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(subset_type,type,
subset: $i > $i > mworld > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(member_type,type,
member: $i > $i > mworld > $o ).
thf(equal_set_type,type,
equal_set: $i > $i > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ) ).
thf('0',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('1',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mequiv_def,axiom,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ) ).
thf('2',plain,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv_def]) ).
thf('3',plain,
( mequiv
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
<=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('4',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('5',plain,
( mand
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('6',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('7',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(equal_set_0,axiom,
( mlocal
@ ( mforall_di
@ ^ [A: $i] :
( mforall_di
@ ^ [B: $i] : ( mequiv @ ( equal_set @ A @ B ) @ ( mand @ ( subset @ A @ B ) @ ( subset @ B @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X6: $i] :
( ( equal_set @ X4 @ X6 @ mactual )
<=> ( ( subset @ X4 @ X6 @ mactual )
& ( subset @ X6 @ X4 @ mactual ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( equal_set @ X0 @ X1 @ mactual )
| ~ ( subset @ X1 @ X0 @ mactual )
| ~ ( subset @ X0 @ X1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(thI17,conjecture,
( mlocal
@ ( mforall_di
@ ^ [A: $i] : ( equal_set @ ( intersection @ A @ empty_set ) @ empty_set ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i] : ( equal_set @ ( intersection @ X4 @ empty_set ) @ empty_set @ mactual ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i] : ( equal_set @ ( intersection @ X4 @ empty_set ) @ empty_set @ mactual ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl26,plain,
~ ( equal_set @ ( intersection @ sk__2 @ empty_set ) @ empty_set @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl75,plain,
( ~ ( subset @ ( intersection @ sk__2 @ empty_set ) @ empty_set @ mactual )
| ~ ( subset @ empty_set @ ( intersection @ sk__2 @ empty_set ) @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl26]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('8',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('9',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(subset_0,axiom,
( mlocal
@ ( mforall_di
@ ^ [A: $i] :
( mforall_di
@ ^ [B: $i] :
( mequiv @ ( subset @ A @ B )
@ ( mforall_di
@ ^ [X: $i] : ( mimplies @ ( member @ X @ A ) @ ( member @ X @ B ) ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 @ mactual )
<=> ! [X8: $i] :
( ( member @ X8 @ X4 @ mactual )
=> ( member @ X8 @ X6 @ mactual ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 @ mactual )
| ( member @ ( sk__1 @ X1 @ X0 ) @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf('10',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('11',plain,
( mnot
= ( ^ [V_1: mworld > $o,V_2: mworld] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(empty_set_0,axiom,
( mlocal
@ ( mforall_di
@ ^ [X: $i] : ( mnot @ ( member @ X @ empty_set ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i] :
~ ( member @ X4 @ empty_set @ mactual ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] : ( subset @ empty_set @ X0 @ mactual ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(zip_derived_cl85,plain,
~ ( subset @ ( intersection @ sk__2 @ empty_set ) @ empty_set @ mactual ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl27]) ).
thf(zip_derived_cl15_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 @ mactual )
| ( member @ ( sk__1 @ X1 @ X0 ) @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(intersection_0,axiom,
( mlocal
@ ( mforall_di
@ ^ [X: $i] :
( mforall_di
@ ^ [A: $i] :
( mforall_di
@ ^ [B: $i] : ( mequiv @ ( member @ X @ ( intersection @ A @ B ) ) @ ( mand @ ( member @ X @ A ) @ ( member @ X @ B ) ) ) ) ) ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( member @ X4 @ ( intersection @ X6 @ X8 ) @ mactual )
<=> ( ( member @ X4 @ X6 @ mactual )
& ( member @ X4 @ X8 @ mactual ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 @ mactual )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ X2 @ mactual )
| ( member @ ( sk__1 @ X2 @ ( intersection @ X1 @ X0 ) ) @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl22_002,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl319,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ empty_set ) @ X1 @ mactual ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl22]) ).
thf(zip_derived_cl336,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET063^4 : TPTP v9.2.0. Released v8.1.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w6TPGwqQk2 true
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 13:11:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.31 % Running in HO mode
% 0.15/0.57 % Total configuration time : 828
% 0.15/0.57 % Estimated wc time : 1656
% 0.15/0.57 % Estimated cpu time (8 cpus) : 207.0
% 1.17/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.17/0.65 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.17/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.17/0.65 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.17/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.17/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.17/0.65 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.17/0.67 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.34/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.34/0.83 % Solved by lams/40_c.s.sh.
% 1.34/0.83 % done 74 iterations in 0.163s
% 1.34/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.83 % SZS output start Refutation
% See solution above
% 1.34/0.83
% 1.34/0.83
% 1.34/0.83 % Terminating...
% 1.61/0.88 % Runner terminated.
% 1.61/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------