TSTP Solution File: SET697+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET697+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.41noru4WgT true
% Computer : n013.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 16:15:39 EDT 2023
% Result : Theorem 182.37s 26.70s
% Output : Refutation 182.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 10 unt; 10 typ; 0 def)
% Number of atoms : 121 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 476 ( 46 ~; 52 |; 5 &; 364 @)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 93 !; 0 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
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(sk__5_type,type,
sk__5: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(equal_set,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( equal_set @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(thI31,conjecture,
! [A: $i,B: $i,E: $i] :
( ( ( subset @ A @ E )
& ( subset @ B @ E ) )
=> ( ( subset @ A @ B )
<=> ( equal_set @ ( intersection @ A @ ( difference @ E @ B ) ) @ empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,E: $i] :
( ( ( subset @ A @ E )
& ( subset @ B @ E ) )
=> ( ( subset @ A @ B )
<=> ( equal_set @ ( intersection @ A @ ( difference @ E @ B ) ) @ empty_set ) ) ),
inference('cnf.neg',[status(esa)],[thI31]) ).
thf(zip_derived_cl31,plain,
( ~ ( equal_set @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ empty_set )
| ~ ( subset @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl165,plain,
( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ empty_set )
| ~ ( subset @ empty_set @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) )
| ~ ( subset @ sk__3 @ sk__4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl31]) ).
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(empty_set,axiom,
! [X: $i] :
~ ( member @ X @ empty_set ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set]) ).
thf(zip_derived_cl184,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).
thf(zip_derived_cl228,plain,
( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ empty_set )
| ~ ( subset @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl184]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(intersection,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( intersection @ A @ B ) )
<=> ( ( member @ X @ A )
& ( member @ X @ B ) ) ) ).
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_cl32,plain,
( ( equal_set @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ empty_set )
| ( subset @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( equal_set @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(zip_derived_cl166,plain,
( ( subset @ sk__3 @ sk__4 )
| ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl3]) ).
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_cl226,plain,
! [X0: $i] :
( ( subset @ sk__3 @ sk__4 )
| ( member @ X0 @ empty_set )
| ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl0]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set]) ).
thf(zip_derived_cl227,plain,
! [X0: $i] :
( ( subset @ sk__3 @ sk__4 )
| ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl14]) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ ( difference @ sk__5 @ sk__4 ) )
| ( subset @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl227]) ).
thf(difference,axiom,
! [B: $i,A: $i,E: $i] :
( ( member @ B @ ( difference @ E @ A ) )
<=> ( ( member @ B @ E )
& ~ ( member @ B @ A ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference]) ).
thf(zip_derived_cl343,plain,
! [X0: $i] :
( ( subset @ sk__3 @ sk__4 )
| ~ ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ sk__5 )
| ( member @ X0 @ sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl235,zip_derived_cl17]) ).
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_cl1172,plain,
! [X0: $i] :
( ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl343,zip_derived_cl0]) ).
thf(zip_derived_cl29,plain,
subset @ sk__3 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl171,plain,
! [X0: $i] :
( ( member @ X0 @ sk__5 )
| ~ ( member @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl0]) ).
thf(zip_derived_cl1173,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl1172,zip_derived_cl171]) ).
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_cl1179,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl1]) ).
thf(zip_derived_cl1214,plain,
( ( subset @ sk__3 @ sk__4 )
| ( subset @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1179]) ).
thf(zip_derived_cl1221,plain,
subset @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl1214]) ).
thf(zip_derived_cl1232,plain,
~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl1221]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
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_cl183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference]) ).
thf(zip_derived_cl536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( intersection @ X2 @ ( difference @ X1 @ X0 ) ) @ X3 )
| ~ ( member @ ( sk_ @ X3 @ ( intersection @ X2 @ ( difference @ X1 @ X0 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl16]) ).
thf(zip_derived_cl2_006,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
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_cl182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl1179_007,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl1]) ).
thf(zip_derived_cl1215,plain,
! [X0: $i] :
( ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 )
| ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl1179]) ).
thf(zip_derived_cl1222,plain,
! [X0: $i] : ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl1215]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ sk__4 )
| ~ ( member @ X1 @ ( intersection @ sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1222,zip_derived_cl0]) ).
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_cl1238,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X1 @ ( intersection @ sk__3 @ X0 ) ) @ sk__4 )
| ( subset @ ( intersection @ sk__3 @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1234,zip_derived_cl2]) ).
thf(zip_derived_cl136276,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( intersection @ sk__3 @ ( difference @ X0 @ sk__4 ) ) @ X1 )
| ( subset @ ( intersection @ sk__3 @ ( difference @ X0 @ sk__4 ) ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl1238]) ).
thf(zip_derived_cl136286,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ sk__3 @ ( difference @ X0 @ sk__4 ) ) @ X1 ),
inference(simplify,[status(thm)],[zip_derived_cl136276]) ).
thf(zip_derived_cl136376,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1232,zip_derived_cl136286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET697+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.41noru4WgT true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 14:53:32 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 182.37/26.70 % Solved by fo/fo3_bce.sh.
% 182.37/26.70 % BCE start: 33
% 182.37/26.70 % BCE eliminated: 0
% 182.37/26.70 % PE start: 33
% 182.37/26.70 logic: eq
% 182.37/26.70 % PE eliminated: 2
% 182.37/26.70 % done 5742 iterations in 25.954s
% 182.37/26.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 182.37/26.70 % SZS output start Refutation
% See solution above
% 182.37/26.70
% 182.37/26.70
% 182.37/26.70 % Terminating...
% 183.01/26.78 % Runner terminated.
% 183.01/26.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------