TSTP Solution File: SET592+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET592+3 : 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.iCqfAhCTRl true
% Computer : n021.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 16:14:47 EDT 2023
% Result : Theorem 0.22s 0.80s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 30 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 8 ~; 6 |; 5 &; 50 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(prove_th51,conjecture,
! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ B @ D )
& ( ( intersection @ C @ D )
= empty_set ) )
=> ( B = empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ B @ D )
& ( ( intersection @ C @ D )
= empty_set ) )
=> ( B = empty_set ) ),
inference('cnf.neg',[status(esa)],[prove_th51]) ).
thf(zip_derived_cl22,plain,
subset @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
( ( intersection @ sk__4 @ sk__5 )
= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl109,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ sk__4 )
| ~ ( subset @ X0 @ sk__5 )
| ( subset @ X0 @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
thf(zip_derived_cl122,plain,
( ~ ( subset @ sk__3 @ sk__5 )
| ( subset @ sk__3 @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl109]) ).
thf(zip_derived_cl21,plain,
subset @ sk__3 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl123,plain,
subset @ sk__3 @ empty_set,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl21]) ).
thf(subset_of_empty_set_is_empty_set,axiom,
! [B: $i] :
( ( subset @ B @ empty_set )
=> ( B = empty_set ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference(cnf,[status(esa)],[subset_of_empty_set_is_empty_set]) ).
thf(zip_derived_cl129,plain,
sk__3 = empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl0]) ).
thf(zip_derived_cl23,plain,
sk__3 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl129,zip_derived_cl23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET592+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iCqfAhCTRl true
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 11:45:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.80 % Solved by fo/fo6_bce.sh.
% 0.22/0.80 % BCE start: 24
% 0.22/0.80 % BCE eliminated: 0
% 0.22/0.80 % PE start: 24
% 0.22/0.80 logic: eq
% 0.22/0.80 % PE eliminated: 1
% 0.22/0.80 % done 20 iterations in 0.012s
% 0.22/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.80 % SZS output start Refutation
% See solution above
% 0.22/0.80
% 0.22/0.80
% 0.22/0.80 % Terminating...
% 1.28/0.88 % Runner terminated.
% 1.28/0.89 % Zipperpin 1.5 exiting
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