%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET004^4 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EM1FIHn4EC true
% Computer : n021.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 04:51:04 PM UTC 2025
% Result : Theorem 71.27s 9.51s
% Output : Refutation 71.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of formulae : 29 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 92 ( 15 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 201 ( 2 ~; 0 |; 7 &; 168 @)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 3 con; 0-3 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 71 ( 56 ^; 15 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(subset_type,type,
subset: $i > $i > mworld > $o ).
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(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(intersection_type,type,
intersection: $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 @ X6 @ X4 @ mactual )
& ( subset @ X4 @ X6 @ mactual ) ) ) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( equal_set @ Y0 @ Y1 @ mactual )
<=> ( ( subset @ Y1 @ Y0 @ mactual )
& ( subset @ Y0 @ Y1 @ mactual ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(thI06,conjecture,
( mlocal
@ ( mforall_di
@ ^ [A: $i] :
( mforall_di
@ ^ [B: $i] : ( equal_set @ ( intersection @ A @ B ) @ ( intersection @ B @ A ) ) ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i,X6: $i] : ( equal_set @ ( intersection @ X4 @ X6 ) @ ( intersection @ X6 @ X4 ) @ mactual ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i,X6: $i] : ( equal_set @ ( intersection @ X4 @ X6 ) @ ( intersection @ X6 @ X4 ) @ mactual ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl34,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( equal_set @ ( intersection @ Y0 @ Y1 ) @ ( intersection @ Y1 @ Y0 ) @ mactual ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
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_3,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( member @ X4 @ ( intersection @ X6 @ X8 ) @ mactual )
<=> ( ( member @ X4 @ X8 @ mactual )
& ( member @ X4 @ X6 @ mactual ) ) ) ).
thf(zip_derived_cl26,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( member @ Y0 @ ( intersection @ Y1 @ Y2 ) @ mactual )
<=> ( ( member @ Y0 @ Y2 @ mactual )
& ( member @ Y0 @ Y1 @ mactual ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
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_4,axiom,
! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 @ mactual )
<=> ! [X8: $i] :
( ( member @ X8 @ X4 @ mactual )
=> ( member @ X8 @ X6 @ mactual ) ) ) ).
thf(zip_derived_cl23,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 @ mactual )
<=> ( !!
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y0 @ mactual )
=> ( member @ Y2 @ Y1 @ mactual ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl1439,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl24,zip_derived_cl34,zip_derived_cl26,zip_derived_cl23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SET004^4 : TPTP v9.2.0. Released v8.1.0.
% 0.03/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EM1FIHn4EC true
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Oct 1 13:22:23 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in HO mode
% 0.13/0.55 % Total configuration time : 828
% 0.13/0.55 % Estimated wc time : 1656
% 0.13/0.55 % Estimated cpu time (8 cpus) : 207.0
% 0.88/0.63 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.88/0.63 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.17/0.63 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.17/0.64 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.17/0.64 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.19/0.65 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.19/0.66 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.19/0.67 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.28/0.71 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 15.09/2.46 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 71.27/9.51 % Solved by lams/15_e_short1.sh.
% 71.27/9.51 % done 326 iterations in 8.845s
% 71.27/9.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 71.27/9.51 % SZS output start Refutation
% See solution above
% 71.27/9.51
% 71.27/9.51
% 71.27/9.51 % Terminating...
% 71.27/9.60 % Runner terminated.
% 71.27/9.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------