TSTP Solution File: SET700+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET700+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fKHtuXlsAb true
% Computer : n005.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 1.34s 0.85s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 53 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 107 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 444 ( 40 ~; 36 |; 4 &; 342 @)
% ( 5 <=>; 3 =>; 14 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% 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(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(thI34,conjecture,
! [A: $i,B: $i,E: $i] :
( ( ( subset @ A @ E )
& ( subset @ B @ E ) )
=> ( ( subset @ A @ B )
<=> ( subset @ ( intersection @ A @ ( difference @ E @ B ) ) @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,E: $i] :
( ( ( subset @ A @ E )
& ( subset @ B @ E ) )
=> ( ( subset @ A @ B )
<=> ( subset @ ( intersection @ A @ ( difference @ E @ B ) ) @ B ) ) ),
inference('cnf.neg',[status(esa)],[thI34]) ).
thf(zip_derived_cl31,plain,
( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
| ~ ( subset @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
<= ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf('0',plain,
( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
| ~ ( subset @ sk__3 @ sk__4 ) ),
inference(split,[status(esa)],[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(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(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,
( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
| ( subset @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
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_cl39,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) )
| ( member @ X0 @ sk__4 ) )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
thf(zip_derived_cl128,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ ( difference @ sk__5 @ sk__4 ) )
| ( member @ X0 @ sk__4 ) )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl39]) ).
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_cl151,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ ( difference @ sk__5 @ sk__4 ) )
| ~ ( member @ X0 @ sk__3 ) )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl128,zip_derived_cl16]) ).
thf(zip_derived_cl212,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ sk__5 )
| ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl151]) ).
thf(zip_derived_cl29,plain,
subset @ sk__3 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl41,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl0]) ).
thf(zip_derived_cl216,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__4 ) )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl212,zip_derived_cl41]) ).
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_cl218,plain,
( ! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl1]) ).
thf(zip_derived_cl222,plain,
( ( ( subset @ sk__3 @ sk__4 )
| ( subset @ sk__3 @ sk__4 ) )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl218]) ).
thf(zip_derived_cl224,plain,
( ( subset @ sk__3 @ sk__4 )
<= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl33,plain,
( ~ ( subset @ sk__3 @ sk__4 )
<= ~ ( subset @ sk__3 @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf('1',plain,
( ( subset @ sk__3 @ sk__4 )
| ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl33]) ).
thf('2',plain,
~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl229,plain,
~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl34,'2']) ).
thf(zip_derived_cl35,plain,
( ( subset @ sk__3 @ sk__4 )
<= ( subset @ sk__3 @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl40,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__4 ) )
<= ( subset @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl0]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl45,plain,
( ! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) )
<= ( subset @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1]) ).
thf('3',plain,
( ( subset @ sk__3 @ sk__4 )
| ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf('4',plain,
subset @ sk__3 @ sk__4,
inference('sat_resolution*',[status(thm)],['0','1','3']) ).
thf(zip_derived_cl232,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl45,'4']) ).
thf(zip_derived_cl2_004,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_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl393,plain,
! [X0: $i] :
( ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 )
| ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl51]) ).
thf(zip_derived_cl394,plain,
! [X0: $i] : ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl420,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET700+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fKHtuXlsAb true
% 0.13/0.34 % Computer : n005.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 10:04:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.85 % Solved by fo/fo1_av.sh.
% 1.34/0.85 % done 165 iterations in 0.098s
% 1.34/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.85 % SZS output start Refutation
% See solution above
% 1.34/0.86
% 1.34/0.86
% 1.34/0.86 % Terminating...
% 1.59/0.96 % Runner terminated.
% 1.59/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------