TSTP Solution File: SET598+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET598+3 : 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.6PeHhZVkts 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 16:14:51 EDT 2023
% Result : Theorem 1.28s 0.80s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 25 unt; 6 typ; 0 def)
% Number of atoms : 105 ( 27 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 316 ( 36 ~; 38 |; 8 &; 228 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(prove_th57,conjecture,
! [B: $i,C: $i,D: $i] :
( ( B
= ( intersection @ C @ D ) )
<=> ( ( subset @ B @ C )
& ( subset @ B @ D )
& ! [E: $i] :
( ( ( subset @ E @ C )
& ( subset @ E @ D ) )
=> ( subset @ E @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( B
= ( intersection @ C @ D ) )
<=> ( ( subset @ B @ C )
& ( subset @ B @ D )
& ! [E: $i] :
( ( ( subset @ E @ C )
& ( subset @ E @ D ) )
=> ( subset @ E @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_th57]) ).
thf(zip_derived_cl22,plain,
( ( subset @ sk__5 @ sk__3 )
| ~ ( subset @ sk__2 @ sk__4 )
| ~ ( subset @ sk__2 @ sk__3 )
| ( sk__2
!= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
( ( subset @ sk__2 @ sk__4 )
| ( sk__2
= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(intersection_is_subset,axiom,
! [B: $i,C: $i] : ( subset @ ( intersection @ B @ C ) @ B ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[intersection_is_subset]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X1 @ X0 ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl130,plain,
( ( subset @ sk__2 @ sk__4 )
| ( subset @ sk__2 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl116]) ).
thf(zip_derived_cl132,plain,
subset @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl17,plain,
( ( subset @ sk__2 @ sk__3 )
| ( sk__2
= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[intersection_is_subset]) ).
thf(zip_derived_cl114,plain,
( ( subset @ sk__2 @ sk__3 )
| ( subset @ sk__2 @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl0]) ).
thf(zip_derived_cl115,plain,
subset @ sk__2 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl203,plain,
( ( subset @ sk__5 @ sk__3 )
| ( sk__2
!= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl132,zip_derived_cl115]) ).
thf(intersection_of_subsets,axiom,
! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ B @ D ) )
=> ( subset @ B @ ( intersection @ C @ D ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_of_subsets]) ).
thf(zip_derived_cl116_002,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X1 @ X0 ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[intersection_is_subset]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ sk__3 )
| ~ ( subset @ X0 @ sk__4 )
| ( subset @ X0 @ sk__2 )
| ( sk__2
= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl207,plain,
! [X0: $i] :
( ~ ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 )
| ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__2 )
| ( sk__2
= ( intersection @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).
thf(zip_derived_cl215,plain,
( ( subset @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 )
| ( sk__2
= ( intersection @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl207]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl220,plain,
subset @ ( intersection @ sk__3 @ sk__4 ) @ sk__2,
inference(clc,[status(thm)],[zip_derived_cl215,zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl221,plain,
( ( sk__2
= ( intersection @ sk__3 @ sk__4 ) )
| ~ ( subset @ sk__2 @ ( intersection @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl10]) ).
thf(zip_derived_cl231,plain,
( ~ ( subset @ sk__2 @ sk__4 )
| ~ ( subset @ sk__2 @ sk__3 )
| ( sk__2
= ( intersection @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl221]) ).
thf(zip_derived_cl132_004,plain,
subset @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl115_005,plain,
subset @ sk__2 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl234,plain,
( sk__2
= ( intersection @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl241,plain,
( ( subset @ sk__5 @ sk__3 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl234]) ).
thf(zip_derived_cl242,plain,
subset @ sk__5 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl234_006,plain,
( sk__2
= ( intersection @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_of_subsets]) ).
thf(zip_derived_cl246,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ sk__3 )
| ~ ( subset @ X0 @ sk__4 )
| ( subset @ X0 @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl234,zip_derived_cl1]) ).
thf(zip_derived_cl268,plain,
( ~ ( subset @ sk__5 @ sk__4 )
| ( subset @ sk__5 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl246]) ).
thf(zip_derived_cl21,plain,
( ( subset @ sk__5 @ sk__4 )
| ~ ( subset @ sk__2 @ sk__4 )
| ~ ( subset @ sk__2 @ sk__3 )
| ( sk__2
!= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_008,plain,
subset @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl115_009,plain,
subset @ sk__2 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl139,plain,
( ( subset @ sk__5 @ sk__4 )
| ( sk__2
!= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl234_010,plain,
( sk__2
= ( intersection @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl237,plain,
( ( subset @ sk__5 @ sk__4 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl234]) ).
thf(zip_derived_cl238,plain,
subset @ sk__5 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl237]) ).
thf(zip_derived_cl20,plain,
( ~ ( subset @ sk__5 @ sk__2 )
| ~ ( subset @ sk__2 @ sk__4 )
| ~ ( subset @ sk__2 @ sk__3 )
| ( sk__2
!= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_011,plain,
subset @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl115_012,plain,
subset @ sk__2 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl185,plain,
( ~ ( subset @ sk__5 @ sk__2 )
| ( sk__2
!= ( intersection @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl234_013,plain,
( sk__2
= ( intersection @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl132,zip_derived_cl115]) ).
thf(zip_derived_cl239,plain,
( ~ ( subset @ sk__5 @ sk__2 )
| ( sk__2 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl234]) ).
thf(zip_derived_cl240,plain,
~ ( subset @ sk__5 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl270,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl268,zip_derived_cl238,zip_derived_cl240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET598+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6PeHhZVkts true
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 16:16:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.80 % Solved by fo/fo6_bce.sh.
% 1.28/0.80 % BCE start: 23
% 1.28/0.80 % BCE eliminated: 0
% 1.28/0.80 % PE start: 23
% 1.28/0.80 logic: eq
% 1.28/0.80 % PE eliminated: 0
% 1.28/0.80 % done 89 iterations in 0.062s
% 1.28/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.80 % SZS output start Refutation
% See solution above
% 1.28/0.80
% 1.28/0.80
% 1.28/0.80 % Terminating...
% 1.51/0.93 % Runner terminated.
% 1.51/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------