TSTP Solution File: SET900+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET900+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.06LbC0ttql true
% Computer : n010.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 16:16:43 EDT 2023
% Result : Theorem 0.86s 0.77s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 4 unt; 6 typ; 0 def)
% Number of atoms : 40 ( 34 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 26 ~; 15 |; 9 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(l45_zfmisc_1,axiom,
! [A: $i,B: $i] :
~ ( ( A
!= ( singleton @ B ) )
& ( A != empty_set )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( C != B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( X0 = empty_set )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 )
| ( X0
= ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[l45_zfmisc_1]) ).
thf(t41_zfmisc_1,conjecture,
! [A: $i,B: $i] :
~ ( ( A
!= ( singleton @ B ) )
& ( A != empty_set )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( C != B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
~ ( ( A
!= ( singleton @ B ) )
& ( A != empty_set )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( C != B ) ) ),
inference('cnf.neg',[status(esa)],[t41_zfmisc_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__2 )
| ( X0 = sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( sk__2
= ( singleton @ X0 ) )
| ( sk__2 = empty_set )
| ( ( sk__4 @ X0 @ sk__2 )
= sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl6,plain,
sk__2 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( sk__2
= ( singleton @ X0 ) )
| ( ( sk__4 @ X0 @ sk__2 )
= sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( X0 = empty_set )
| ( ( sk__4 @ X1 @ X0 )
!= X1 )
| ( X0
= ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[l45_zfmisc_1]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__2
= ( singleton @ X0 ) )
| ( sk__2 = empty_set )
| ( sk__3 != X0 )
| ( sk__2
= ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl7]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( sk__3 != X0 )
| ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl6_001,plain,
sk__2 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( sk__3 != X0 )
| ( sk__2
= ( singleton @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36,zip_derived_cl6]) ).
thf(zip_derived_cl4,plain,
( sk__2
!= ( singleton @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
( ( sk__3 != sk__3 )
| ( sk__2 != sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl4]) ).
thf(zip_derived_cl43,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET900+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.06LbC0ttql true
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 09:48:20 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.61 % Total configuration time : 435
% 0.17/0.61 % Estimated wc time : 1092
% 0.17/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.86/0.77 % Solved by fo/fo6_bce.sh.
% 0.86/0.77 % BCE start: 9
% 0.86/0.77 % BCE eliminated: 0
% 0.86/0.77 % PE start: 9
% 0.86/0.77 logic: eq
% 0.86/0.77 % PE eliminated: 1
% 0.86/0.77 % done 12 iterations in 0.013s
% 0.86/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.86/0.77 % SZS output start Refutation
% See solution above
% 0.86/0.77
% 0.86/0.77
% 0.86/0.77 % Terminating...
% 0.86/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.55/0.82 % Runner terminated.
% 1.55/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------