TSTP Solution File: SET958+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Bk7L8VUiXs true
% Computer : n002.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 16:17:00 EDT 2023
% Result : Theorem 1.12s 0.75s
% Output : Refutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 33 ( 3 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 116 ( 13 ~; 9 |; 4 &; 84 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(t111_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ! [C: $i] :
~ ( ( in @ C @ A )
& ! [D: $i,E: $i] :
( C
!= ( ordered_pair @ D @ E ) ) )
& ! [C: $i,D: $i] :
( ( in @ ( ordered_pair @ C @ D ) @ A )
=> ( in @ ( ordered_pair @ C @ D ) @ B ) ) )
=> ( subset @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ! [C: $i] :
~ ( ( in @ C @ A )
& ! [D: $i,E: $i] :
( C
!= ( ordered_pair @ D @ E ) ) )
& ! [C: $i,D: $i] :
( ( in @ ( ordered_pair @ C @ D ) @ A )
=> ( in @ ( ordered_pair @ C @ D ) @ B ) ) )
=> ( subset @ A @ B ) ),
inference('cnf.neg',[status(esa)],[t111_zfmisc_1]) ).
thf(zip_derived_cl10,plain,
~ ( subset @ sk__3 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ~ ( in @ X2 @ sk__3 )
| ( X2
= ( ordered_pair @ ( sk__4 @ X2 ) @ ( sk__5 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__6 )
| ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__3 )
| ( in @ X0 @ sk__6 )
| ~ ( in @ X0 @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( in @ X0 @ sk__6 )
| ~ ( in @ X0 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ~ ( in @ ( sk_ @ sk__6 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl3]) ).
thf(zip_derived_cl84,plain,
( ( subset @ sk__3 @ sk__6 )
| ( subset @ sk__3 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl81]) ).
thf(zip_derived_cl85,plain,
subset @ sk__3 @ sk__6,
inference(simplify,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Bk7L8VUiXs true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 16:21:18 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
% 0.20/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.12/0.75 % Solved by fo/fo6_bce.sh.
% 1.12/0.75 % BCE start: 13
% 1.12/0.75 % BCE eliminated: 0
% 1.12/0.75 % PE start: 13
% 1.12/0.75 logic: eq
% 1.12/0.75 % PE eliminated: 1
% 1.12/0.75 % done 24 iterations in 0.011s
% 1.12/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.12/0.75 % SZS output start Refutation
% See solution above
% 1.12/0.75
% 1.12/0.75
% 1.12/0.75 % Terminating...
% 1.50/0.87 % Runner terminated.
% 1.50/0.88 % Zipperpin 1.5 exiting
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