TSTP Solution File: SET004^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET004^4 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.guozOz5wQz true
% Computer : n002.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 Aug 31 16:11:35 EDT 2023
% Result : Theorem 54.90s 7.87s
% Output : Refutation 54.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 56 ( 21 unt; 14 typ; 0 def)
% Number of atoms : 107 ( 15 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 361 ( 15 ~; 18 |; 5 &; 313 @)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 99 ( 46 ^; 53 !; 0 ?; 99 :)
% 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(sk__2_type,type,
sk__2: $i ).
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(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $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_cl16,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(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_cl20,plain,
~ ( equal_set @ ( intersection @ sk__2 @ sk__3 ) @ ( intersection @ sk__3 @ sk__2 ) @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl85,plain,
( ~ ( subset @ ( intersection @ sk__2 @ sk__3 ) @ ( intersection @ sk__3 @ sk__2 ) @ mactual )
| ~ ( subset @ ( intersection @ sk__3 @ sk__2 ) @ ( intersection @ sk__2 @ sk__3 ) @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).
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_cl13,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_4,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( member @ X4 @ ( intersection @ X6 @ X8 ) @ mactual )
<=> ( ( member @ X4 @ X6 @ mactual )
& ( member @ X4 @ X8 @ mactual ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 @ mactual )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl23,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_cl13,zip_derived_cl18]) ).
thf(zip_derived_cl13_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(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 @ mactual )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ X2 @ mactual )
| ( member @ ( sk__1 @ X2 @ ( intersection @ X1 @ X0 ) ) @ X1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl17]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 @ mactual )
| ~ ( member @ ( sk__1 @ X1 @ X0 ) @ X1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( intersection @ X1 @ X2 ) @ mactual )
| ~ ( member @ X0 @ X2 @ mactual )
| ~ ( member @ X0 @ X1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ ( intersection @ X1 @ X0 ) @ mactual )
| ~ ( member @ ( sk__1 @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 @ mactual )
| ~ ( member @ ( sk__1 @ ( intersection @ X1 @ X0 ) @ X2 ) @ X0 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).
thf(zip_derived_cl455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X0 @ X1 ) @ ( intersection @ X2 @ X0 ) @ mactual )
| ~ ( member @ ( sk__1 @ ( intersection @ X2 @ X0 ) @ ( intersection @ X0 @ X1 ) ) @ X2 @ mactual )
| ( subset @ ( intersection @ X0 @ X1 ) @ ( intersection @ X2 @ X0 ) @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl100]) ).
thf(zip_derived_cl507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk__1 @ ( intersection @ X2 @ X0 ) @ ( intersection @ X0 @ X1 ) ) @ X2 @ mactual )
| ( subset @ ( intersection @ X0 @ X1 ) @ ( intersection @ X2 @ X0 ) @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl455]) ).
thf(zip_derived_cl17645,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ ( intersection @ X0 @ X1 ) @ mactual )
| ( subset @ ( intersection @ X1 @ X0 ) @ ( intersection @ X0 @ X1 ) @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl507]) ).
thf(zip_derived_cl17732,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X1 @ X0 ) @ ( intersection @ X0 @ X1 ) @ mactual ),
inference(simplify,[status(thm)],[zip_derived_cl17645]) ).
thf(zip_derived_cl17732_002,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X1 @ X0 ) @ ( intersection @ X0 @ X1 ) @ mactual ),
inference(simplify,[status(thm)],[zip_derived_cl17645]) ).
thf(zip_derived_cl17810,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl17732,zip_derived_cl17732]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET004^4 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.guozOz5wQz true
% 0.13/0.34 % Computer : n002.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 : Sat Aug 26 08:42:03 EDT 2023
% 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 HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 9.20/1.85 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 54.90/7.87 % Solved by lams/40_c.s.sh.
% 54.90/7.87 % done 2983 iterations in 7.087s
% 54.90/7.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 54.90/7.87 % SZS output start Refutation
% See solution above
% 54.90/7.87
% 54.90/7.87
% 54.90/7.87 % Terminating...
% 55.86/7.97 % Runner terminated.
% 55.86/7.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------