TSTP Solution File: SET923+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET923+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.SklMgbQZeH true
% Computer : n025.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 16:16:49 EDT 2023
% Result : Theorem 0.19s 0.73s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 25 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 12 ~; 6 |; 4 &; 35 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(t66_zfmisc_1,conjecture,
! [A: $i,B: $i] :
~ ( ( ( set_difference @ A @ ( singleton @ B ) )
= empty_set )
& ( A != empty_set )
& ( A
!= ( singleton @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
~ ( ( ( set_difference @ A @ ( singleton @ B ) )
= empty_set )
& ( A != empty_set )
& ( A
!= ( singleton @ B ) ) ),
inference('cnf.neg',[status(esa)],[t66_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
( ( set_difference @ sk__2 @ ( singleton @ sk__3 ) )
= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t37_xboole_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( ( set_difference @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl66,plain,
( ( subset @ sk__2 @ ( singleton @ sk__3 ) )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
thf(zip_derived_cl68,plain,
subset @ sk__2 @ ( singleton @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl66]) ).
thf(l4_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ ( singleton @ B ) )
<=> ( ( A = empty_set )
| ( A
= ( singleton @ B ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( singleton @ X0 ) )
| ( X1 = empty_set )
| ~ ( subset @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
thf(zip_derived_cl70,plain,
( ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
sk__2 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
( sk__2
!= ( singleton @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70,zip_derived_cl11,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET923+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SklMgbQZeH true
% 0.13/0.34 % Computer : n025.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 16:33:08 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % Solved by fo/fo6_bce.sh.
% 0.19/0.73 % BCE start: 12
% 0.19/0.73 % BCE eliminated: 0
% 0.19/0.73 % PE start: 12
% 0.19/0.73 logic: eq
% 0.19/0.73 % PE eliminated: 1
% 0.19/0.73 % done 11 iterations in 0.006s
% 0.19/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.73 % SZS output start Refutation
% See solution above
% 0.19/0.73
% 0.19/0.73
% 0.19/0.73 % Terminating...
% 0.19/0.76 % Runner terminated.
% 0.19/0.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------