TSTP Solution File: SET002^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET002^4 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6zsQWzRp4h 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 Aug 31 16:11:33 EDT 2023
% Result : Theorem 11.61s 2.28s
% Output : Refutation 11.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 34
% Syntax : Number of formulae : 59 ( 25 unt; 14 typ; 0 def)
% Number of atoms : 110 ( 18 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 320 ( 12 ~; 20 |; 4 &; 274 @)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 97 ( 54 ^; 43 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(sk__2_type,type,
sk__2: $i ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(subset_type,type,
subset: $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(mor_type,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(equal_set_type,type,
equal_set: $i > $i > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
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(thI14,conjecture,
( mlocal
@ ( mforall_di
@ ^ [A: $i] : ( equal_set @ ( union @ A @ A ) @ A ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i] : ( equal_set @ ( union @ X4 @ X4 ) @ X4 @ mactual ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i] : ( equal_set @ ( union @ X4 @ X4 ) @ X4 @ mactual ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
~ ( equal_set @ ( union @ sk__2 @ sk__2 ) @ sk__2 @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl110,plain,
( ~ ( subset @ ( union @ sk__2 @ sk__2 ) @ sk__2 @ mactual )
| ~ ( subset @ sk__2 @ ( union @ sk__2 @ sk__2 ) @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl25]) ).
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(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 @ mactual )
| ~ ( member @ ( sk__1 @ X1 @ X0 ) @ X1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(mor_def,axiom,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ) ).
thf('10',plain,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor_def]) ).
thf('11',plain,
( mor
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(union_0,axiom,
( mlocal
@ ( mforall_di
@ ^ [X: $i] :
( mforall_di
@ ^ [A: $i] :
( mforall_di
@ ^ [B: $i] : ( mequiv @ ( member @ X @ ( union @ A @ B ) ) @ ( mor @ ( member @ X @ A ) @ ( member @ X @ B ) ) ) ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( member @ X4 @ ( union @ X6 @ X8 ) @ mactual )
<=> ( ( member @ X4 @ X6 @ mactual )
| ( member @ X4 @ X8 @ mactual ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) @ mactual )
| ~ ( member @ X0 @ X2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ ( union @ X1 @ X0 ) @ mactual )
| ~ ( member @ ( sk__1 @ ( union @ X1 @ X0 ) @ X2 ) @ X0 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl21]) ).
thf(zip_derived_cl508,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( union @ X1 @ X0 ) @ mactual )
| ( subset @ X0 @ ( union @ X1 @ X0 ) @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl121]) ).
thf(zip_derived_cl523,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X1 @ X0 ) @ mactual ),
inference(simplify,[status(thm)],[zip_derived_cl508]) ).
thf(zip_derived_cl527,plain,
~ ( subset @ ( union @ sk__2 @ sk__2 ) @ sk__2 @ mactual ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl523]) ).
thf(zip_derived_cl14_001,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_cl15_002,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_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 @ mactual )
| ( member @ X0 @ X2 @ mactual )
| ~ ( member @ X0 @ ( union @ X2 @ X1 ) @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X2 @ mactual )
| ( member @ ( sk__1 @ X2 @ ( union @ X1 @ X0 ) ) @ X1 @ mactual )
| ( member @ ( sk__1 @ X2 @ ( union @ X1 @ X0 ) ) @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).
thf(zip_derived_cl3403,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X1 @ ( union @ X0 @ X0 ) ) @ X0 @ mactual )
| ( subset @ ( union @ X0 @ X0 ) @ X1 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl4039,plain,
! [X0: $i] :
( ( subset @ ( union @ X0 @ X0 ) @ X0 @ mactual )
| ( subset @ ( union @ X0 @ X0 ) @ X0 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl3403]) ).
thf(zip_derived_cl4057,plain,
! [X0: $i] : ( subset @ ( union @ X0 @ X0 ) @ X0 @ mactual ),
inference(simplify,[status(thm)],[zip_derived_cl4039]) ).
thf(zip_derived_cl4067,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl4057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET002^4 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6zsQWzRp4h true
% 0.14/0.35 % Computer : n021.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 : Sat Aug 26 16:15:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.64 % Total configuration time : 828
% 0.22/0.64 % Estimated wc time : 1656
% 0.22/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.46/1.13 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 11.61/2.28 % Solved by lams/40_c.s.sh.
% 11.61/2.28 % done 924 iterations in 1.458s
% 11.61/2.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.61/2.28 % SZS output start Refutation
% See solution above
% 11.61/2.28
% 11.61/2.28
% 11.61/2.28 % Terminating...
% 13.29/2.36 % Runner terminated.
% 13.29/2.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------