TSTP Solution File: SET047^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET047^1 : 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.8OX4Or0OeL true
% Computer : n003.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 16:12:09 EDT 2023
% Result : Theorem 1.07s 0.79s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 56 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 114 ( 9 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 404 ( 23 ~; 42 |; 0 &; 332 @)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 58 ( 23 ^; 35 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(element_type,type,
element: $i > $i > mworld > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(mactual_type,type,
mactual: mworld ).
thf(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(set_equal_type,type,
set_equal: $i > $i > 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(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('4',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('5',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(pel43_1,axiom,
( mlocal
@ ( mforall_di
@ ^ [X: $i] :
( mforall_di
@ ^ [Y: $i] :
( mequiv @ ( set_equal @ X @ Y )
@ ( mforall_di
@ ^ [Z: $i] : ( mequiv @ ( element @ Z @ X ) @ ( element @ Z @ Y ) ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X6: $i] :
( ( set_equal @ X4 @ X6 @ mactual )
<=> ! [X8: $i] :
( ( element @ X8 @ X4 @ mactual )
<=> ( element @ X8 @ X6 @ mactual ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_equal @ X0 @ X1 @ mactual )
| ~ ( element @ ( sk__4 @ X1 @ X0 ) @ X1 @ mactual )
| ~ ( element @ ( sk__4 @ X1 @ X0 ) @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(pel43,conjecture,
( mlocal
@ ( mforall_di
@ ^ [X: $i] :
( mforall_di
@ ^ [Y: $i] : ( mequiv @ ( set_equal @ X @ Y ) @ ( set_equal @ Y @ X ) ) ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i,X6: $i] :
( ( set_equal @ X4 @ X6 @ mactual )
<=> ( set_equal @ X6 @ X4 @ mactual ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ( set_equal @ X4 @ X6 @ mactual )
<=> ( set_equal @ X6 @ X4 @ mactual ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( set_equal @ sk__6 @ sk__5 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4_001,plain,
( ( set_equal @ sk__6 @ sk__5 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( set_equal @ X0 @ X1 @ mactual )
| ( element @ ( sk__4 @ X1 @ X0 ) @ X1 @ mactual )
| ( element @ ( sk__4 @ X1 @ X0 ) @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 @ mactual )
| ( element @ X0 @ X2 @ mactual )
| ~ ( set_equal @ X2 @ X1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( sk__4 @ X1 @ X0 ) @ X1 @ mactual )
| ( set_equal @ X0 @ X1 @ mactual )
| ~ ( set_equal @ X2 @ X0 @ mactual )
| ( element @ ( sk__4 @ X1 @ X0 ) @ X2 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( set_equal @ sk__5 @ sk__6 @ mactual )
| ( element @ ( sk__4 @ X0 @ sk__5 ) @ sk__6 @ mactual )
| ( set_equal @ sk__5 @ X0 @ mactual )
| ( element @ ( sk__4 @ X0 @ sk__5 ) @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl100,plain,
( ( set_equal @ sk__5 @ sk__6 @ mactual )
| ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ sk__6 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl102,plain,
( ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ sk__6 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 @ mactual )
| ( element @ X0 @ X2 @ mactual )
| ~ ( set_equal @ X1 @ X2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125,plain,
! [X0: $i] :
( ( set_equal @ sk__5 @ sk__6 @ mactual )
| ~ ( set_equal @ sk__6 @ X0 @ mactual )
| ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl1]) ).
thf(zip_derived_cl140,plain,
( ( set_equal @ sk__5 @ sk__6 @ mactual )
| ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ sk__5 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl125]) ).
thf(zip_derived_cl144,plain,
( ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ sk__5 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ( set_equal @ X0 @ X1 @ mactual )
| ~ ( element @ ( sk__4 @ X1 @ X0 ) @ X1 @ mactual )
| ~ ( element @ ( sk__4 @ X1 @ X0 ) @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102_003,plain,
( ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ sk__6 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl127,plain,
( ~ ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ sk__5 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual )
| ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl102]) ).
thf(zip_derived_cl132,plain,
( ( set_equal @ sk__5 @ sk__6 @ mactual )
| ~ ( element @ ( sk__4 @ sk__6 @ sk__5 ) @ sk__5 @ mactual ) ),
inference(simplify,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl148,plain,
set_equal @ sk__5 @ sk__6 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl144,zip_derived_cl132]) ).
thf(zip_derived_cl12_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( sk__4 @ X1 @ X0 ) @ X1 @ mactual )
| ( set_equal @ X0 @ X1 @ mactual )
| ~ ( set_equal @ X2 @ X0 @ mactual )
| ( element @ ( sk__4 @ X1 @ X0 ) @ X2 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( element @ ( sk__4 @ X0 @ sk__6 ) @ sk__5 @ mactual )
| ( set_equal @ sk__6 @ X0 @ mactual )
| ( element @ ( sk__4 @ X0 @ sk__6 ) @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl12]) ).
thf(zip_derived_cl214,plain,
( ( element @ ( sk__4 @ sk__5 @ sk__6 ) @ sk__5 @ mactual )
| ( set_equal @ sk__6 @ sk__5 @ mactual ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl5,plain,
( ~ ( set_equal @ sk__6 @ sk__5 @ mactual )
| ~ ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl148_005,plain,
set_equal @ sk__5 @ sk__6 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl144,zip_derived_cl132]) ).
thf(zip_derived_cl149,plain,
~ ( set_equal @ sk__6 @ sk__5 @ mactual ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl148]) ).
thf(zip_derived_cl225,plain,
element @ ( sk__4 @ sk__5 @ sk__6 ) @ sk__5 @ mactual,
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl149]) ).
thf(zip_derived_cl1_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 @ mactual )
| ( element @ X0 @ X2 @ mactual )
| ~ ( set_equal @ X1 @ X2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
! [X0: $i] :
( ~ ( set_equal @ sk__5 @ X0 @ mactual )
| ( element @ ( sk__4 @ sk__5 @ sk__6 ) @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl1]) ).
thf(zip_derived_cl248,plain,
( ~ ( element @ ( sk__4 @ sk__5 @ sk__6 ) @ sk__5 @ mactual )
| ( set_equal @ sk__6 @ sk__5 @ mactual )
| ~ ( set_equal @ sk__5 @ sk__6 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl241]) ).
thf(zip_derived_cl225_007,plain,
element @ ( sk__4 @ sk__5 @ sk__6 ) @ sk__5 @ mactual,
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl149]) ).
thf(zip_derived_cl149_008,plain,
~ ( set_equal @ sk__6 @ sk__5 @ mactual ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl148]) ).
thf(zip_derived_cl148_009,plain,
set_equal @ sk__5 @ sk__6 @ mactual,
inference(clc,[status(thm)],[zip_derived_cl144,zip_derived_cl132]) ).
thf(zip_derived_cl253,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl225,zip_derived_cl149,zip_derived_cl148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET047^1 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8OX4Or0OeL true
% 0.13/0.34 % Computer : n003.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 13:59:09 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
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.07/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.07/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.07/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.07/0.79 % Solved by lams/40_c.s.sh.
% 1.07/0.79 % done 60 iterations in 0.054s
% 1.07/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.07/0.79 % SZS output start Refutation
% See solution above
% 1.07/0.79
% 1.07/0.79
% 1.07/0.79 % Terminating...
% 1.41/0.88 % Runner terminated.
% 1.69/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------