TSTP Solution File: SET199+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET199+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZIReo3XP4I true
% Computer : n024.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 16:13:23 EDT 2023
% Result : Theorem 75.80s 11.44s
% Output : Refutation 75.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 127 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 465 ( 47 ~; 61 |; 3 &; 348 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 ^; 83 !; 0 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(thI46,conjecture,
! [A: $i,X: $i,Y: $i] :
( ( ( subset @ A @ X )
& ( subset @ A @ Y ) )
<=> ( subset @ A @ ( intersection @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,X: $i,Y: $i] :
( ( ( subset @ A @ X )
& ( subset @ A @ Y ) )
<=> ( subset @ A @ ( intersection @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[thI46]) ).
thf(zip_derived_cl31,plain,
( ~ ( subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ) )
| ~ ( subset @ sk__3 @ sk__5 )
| ~ ( subset @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl29,plain,
( ( subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ) )
| ( subset @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl178,plain,
! [X0: $i] :
( ( subset @ sk__3 @ sk__4 )
| ( member @ X0 @ ( intersection @ sk__4 @ sk__5 ) )
| ~ ( member @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl0]) ).
thf(intersection,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( intersection @ A @ B ) )
<=> ( ( member @ X @ A )
& ( member @ X @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection]) ).
thf(zip_derived_cl300,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( subset @ sk__3 @ sk__4 )
| ( member @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl8]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl306,plain,
! [X0: $i] :
( ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl300,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl308,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl1]) ).
thf(zip_derived_cl311,plain,
( ( subset @ sk__3 @ sk__4 )
| ( subset @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl308]) ).
thf(zip_derived_cl313,plain,
subset @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl316,plain,
( ~ ( subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ) )
| ~ ( subset @ sk__3 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl313]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl30,plain,
( ( subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ) )
| ( subset @ sk__3 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl213,plain,
! [X0: $i] :
( ( subset @ sk__3 @ sk__5 )
| ( member @ X0 @ ( intersection @ sk__4 @ sk__5 ) )
| ~ ( member @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection]) ).
thf(zip_derived_cl1504,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( subset @ sk__3 @ sk__5 )
| ( member @ X0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl9]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl1515,plain,
! [X0: $i] :
( ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl1504,zip_derived_cl0]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl1521,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl1]) ).
thf(zip_derived_cl1548,plain,
( ( subset @ sk__3 @ sk__5 )
| ( subset @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1521]) ).
thf(zip_derived_cl1555,plain,
subset @ sk__3 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl1548]) ).
thf(zip_derived_cl1566,plain,
~ ( subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl1555]) ).
thf(zip_derived_cl1515_006,plain,
! [X0: $i] :
( ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl1504,zip_derived_cl0]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(singleton,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( singleton @ A ) )
<=> ( X = A ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( singleton @ X0 ) @ X1 )
| ( ( sk_ @ X1 @ ( singleton @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl18]) ).
thf(zip_derived_cl308_008,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl1]) ).
thf(zip_derived_cl312,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( subset @ ( singleton @ X0 ) @ sk__4 )
| ( subset @ ( singleton @ X0 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl308]) ).
thf(zip_derived_cl314,plain,
! [X0: $i] :
( ( subset @ ( singleton @ X0 ) @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl312]) ).
thf(zip_derived_cl2_009,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl332,plain,
! [X0: $i] :
( ( subset @ ( singleton @ ( sk_ @ X0 @ sk__3 ) ) @ sk__4 )
| ( subset @ sk__3 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl2]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl338,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__3 @ X0 )
| ( member @ X1 @ sk__4 )
| ~ ( member @ X1 @ ( singleton @ ( sk_ @ X0 @ sk__3 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( singleton @ X1 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl676,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ sk__4 )
| ( subset @ sk__3 @ X0 )
| ( X1
!= ( sk_ @ X0 @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl338,zip_derived_cl19]) ).
thf(zip_derived_cl697,plain,
! [X0: $i] :
( ( subset @ sk__3 @ X0 )
| ( member @ ( sk_ @ X0 @ sk__3 ) @ sk__4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl676]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[intersection]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 )
| ~ ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( intersection @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).
thf(zip_derived_cl1641,plain,
! [X0: $i] :
( ( subset @ sk__3 @ ( intersection @ sk__4 @ X0 ) )
| ( subset @ sk__3 @ ( intersection @ sk__4 @ X0 ) )
| ~ ( member @ ( sk_ @ ( intersection @ sk__4 @ X0 ) @ sk__3 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl221]) ).
thf(zip_derived_cl1653,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ sk__4 @ X0 ) @ sk__3 ) @ X0 )
| ( subset @ sk__3 @ ( intersection @ sk__4 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1641]) ).
thf(zip_derived_cl56720,plain,
( ~ ( member @ ( sk_ @ ( intersection @ sk__4 @ sk__5 ) @ sk__3 ) @ sk__3 )
| ( subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1515,zip_derived_cl1653]) ).
thf(zip_derived_cl1566_012,plain,
~ ( subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl1555]) ).
thf(zip_derived_cl56724,plain,
~ ( member @ ( sk_ @ ( intersection @ sk__4 @ sk__5 ) @ sk__3 ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl56720,zip_derived_cl1566]) ).
thf(zip_derived_cl2_013,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl56797,plain,
subset @ sk__3 @ ( intersection @ sk__4 @ sk__5 ),
inference('sup+',[status(thm)],[zip_derived_cl56724,zip_derived_cl2]) ).
thf(zip_derived_cl56799,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1566,zip_derived_cl56797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET199+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZIReo3XP4I true
% 0.14/0.35 % Computer : n024.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 10:11:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.87/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 75.80/11.44 % Solved by fo/fo3_bce.sh.
% 75.80/11.44 % BCE start: 32
% 75.80/11.44 % BCE eliminated: 0
% 75.80/11.44 % PE start: 32
% 75.80/11.44 logic: eq
% 75.80/11.44 % PE eliminated: 3
% 75.80/11.44 % done 3444 iterations in 10.663s
% 75.80/11.44 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 75.80/11.44 % SZS output start Refutation
% See solution above
% 75.80/11.44
% 75.80/11.44
% 75.80/11.45 % Terminating...
% 76.11/11.48 % Runner terminated.
% 76.11/11.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------