TSTP Solution File: SET692+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET692+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.nLLTU8eJlW 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 16:15:38 EDT 2023
% Result : Theorem 84.34s 12.68s
% Output : Refutation 84.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 117 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 438 ( 40 ~; 55 |; 2 &; 334 @)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 0 ^; 85 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $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(thI19,conjecture,
! [A: $i,B: $i] :
( ( equal_set @ A @ ( intersection @ A @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( equal_set @ A @ ( intersection @ A @ B ) )
<=> ( subset @ A @ B ) ),
inference('cnf.neg',[status(esa)],[thI19]) ).
thf(zip_derived_cl30,plain,
( ~ ( subset @ sk__3 @ sk__4 )
| ~ ( equal_set @ sk__3 @ ( intersection @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
( ~ ( subset @ sk__3 @ ( intersection @ sk__3 @ sk__4 ) )
| ~ ( subset @ ( intersection @ sk__3 @ sk__4 ) @ sk__3 )
| ~ ( subset @ sk__3 @ sk__4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl30]) ).
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 @ sk__4 )
| ( equal_set @ sk__3 @ ( intersection @ 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_cl160,plain,
( ( subset @ sk__3 @ sk__4 )
| ( subset @ sk__3 @ ( intersection @ sk__3 @ sk__4 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,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_cl209,plain,
! [X0: $i] :
( ( subset @ sk__3 @ sk__4 )
| ( member @ X0 @ ( intersection @ sk__3 @ sk__4 ) )
| ~ ( member @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl160,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_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection]) ).
thf(zip_derived_cl296,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( subset @ sk__3 @ sk__4 )
| ( member @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl9]) ).
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_cl301,plain,
! [X0: $i] :
( ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl296,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_cl303,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl1]) ).
thf(zip_derived_cl306,plain,
( ( subset @ sk__3 @ sk__4 )
| ( subset @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl303]) ).
thf(zip_derived_cl307,plain,
subset @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl306]) ).
thf(zip_derived_cl309,plain,
( ~ ( subset @ sk__3 @ ( intersection @ sk__3 @ sk__4 ) )
| ~ ( subset @ ( intersection @ sk__3 @ sk__4 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl307]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl2_003,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_cl178,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_cl494,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( intersection @ X0 @ X1 ) @ X0 )
| ( subset @ ( intersection @ X0 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl178]) ).
thf(zip_derived_cl498,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl494]) ).
thf(zip_derived_cl520,plain,
~ ( subset @ sk__3 @ ( intersection @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl498]) ).
thf(zip_derived_cl2_004,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_cl183,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_cl303_005,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl1]) ).
thf(zip_derived_cl747,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( subset @ ( singleton @ X0 ) @ sk__4 )
| ( subset @ ( singleton @ X0 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl303]) ).
thf(zip_derived_cl755,plain,
! [X0: $i] :
( ( subset @ ( singleton @ X0 ) @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl747]) ).
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_cl761,plain,
! [X0: $i] :
( ( subset @ ( singleton @ ( sk_ @ X0 @ sk__3 ) ) @ sk__4 )
| ( subset @ sk__3 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl755,zip_derived_cl2]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl980,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_cl761,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_cl986,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ sk__4 )
| ( subset @ sk__3 @ X0 )
| ( X1
!= ( sk_ @ X0 @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl980,zip_derived_cl19]) ).
thf(zip_derived_cl1000,plain,
! [X0: $i] :
( ( subset @ sk__3 @ X0 )
| ( member @ ( sk_ @ X0 @ sk__3 ) @ sk__4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl986]) ).
thf(zip_derived_cl2_008,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
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_009,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl215,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_cl1540,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( intersection @ X0 @ X1 ) )
| ( subset @ X0 @ ( intersection @ X0 @ X1 ) )
| ~ ( member @ ( sk_ @ ( intersection @ X0 @ X1 ) @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl215]) ).
thf(zip_derived_cl1552,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ X0 @ X1 ) @ X0 ) @ X1 )
| ( subset @ X0 @ ( intersection @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1540]) ).
thf(zip_derived_cl63567,plain,
( ( subset @ sk__3 @ ( intersection @ sk__3 @ sk__4 ) )
| ( subset @ sk__3 @ ( intersection @ sk__3 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1000,zip_derived_cl1552]) ).
thf(zip_derived_cl63639,plain,
subset @ sk__3 @ ( intersection @ sk__3 @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl63567]) ).
thf(zip_derived_cl63798,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl520,zip_derived_cl63639]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET692+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nLLTU8eJlW true
% 0.13/0.34 % Computer : n013.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 11:29:47 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /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
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 84.34/12.68 % Solved by fo/fo3_bce.sh.
% 84.34/12.68 % BCE start: 31
% 84.34/12.68 % BCE eliminated: 0
% 84.34/12.68 % PE start: 31
% 84.34/12.68 logic: eq
% 84.34/12.68 % PE eliminated: 2
% 84.34/12.68 % done 3373 iterations in 11.915s
% 84.34/12.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 84.34/12.68 % SZS output start Refutation
% See solution above
% 84.34/12.68
% 84.34/12.68
% 84.34/12.68 % Terminating...
% 84.76/12.76 % Runner terminated.
% 84.76/12.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------