TSTP Solution File: SET063+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2h8eXD92mY true
% Computer : n032.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 16:12:18 EDT 2023
% Result : Theorem 0.10s 0.65s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 34 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 12 ~; 8 |; 1 &; 56 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(null_class_type,type,
null_class: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subclass_defn,axiom,
! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(corollary_of_null_class_is_subclass,conjecture,
! [X: $i] :
( ( subclass @ X @ null_class )
=> ( X = null_class ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
( ( subclass @ X @ null_class )
=> ( X = null_class ) ),
inference('cnf.neg',[status(esa)],[corollary_of_null_class_is_subclass]) ).
thf(zip_derived_cl89,plain,
subclass @ sk__7 @ null_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subclass @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl420,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__7 )
| ( member @ X0 @ null_class ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl0]) ).
thf(null_class_defn,axiom,
! [X: $i] :
~ ( member @ X @ null_class ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
~ ( member @ X0 @ null_class ),
inference(cnf,[status(esa)],[null_class_defn]) ).
thf(zip_derived_cl421,plain,
! [X0: $i] :
~ ( member @ X0 @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl31]) ).
thf(zip_derived_cl426,plain,
! [X0: $i] : ( subclass @ sk__7 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl421]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl31_002,plain,
! [X0: $i] :
~ ( member @ X0 @ null_class ),
inference(cnf,[status(esa)],[null_class_defn]) ).
thf(zip_derived_cl425,plain,
! [X0: $i] : ( subclass @ null_class @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl31]) ).
thf(extensionality,axiom,
! [X: $i,Y: $i] :
( ( X = Y )
<=> ( ( subclass @ X @ Y )
& ( subclass @ Y @ X ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subclass @ X0 @ X1 )
| ~ ( subclass @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[extensionality]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] :
( ( X0 = null_class )
| ~ ( subclass @ X0 @ null_class ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl6]) ).
thf(zip_derived_cl440,plain,
sk__7 = null_class,
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl433]) ).
thf(zip_derived_cl90,plain,
sk__7 != null_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl441,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl440,zip_derived_cl90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2h8eXD92mY true
% 0.06/0.27 % Computer : n032.cluster.edu
% 0.06/0.27 % Model : x86_64 x86_64
% 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27 % Memory : 8042.1875MB
% 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 300
% 0.06/0.27 % DateTime : Sat Aug 26 08:57:14 EDT 2023
% 0.06/0.27 % CPUTime :
% 0.06/0.27 % Running portfolio for 300 s
% 0.06/0.27 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 % Number of cores: 8
% 0.06/0.27 % Python version: Python 3.6.8
% 0.06/0.27 % Running in FO mode
% 0.10/0.53 % Total configuration time : 435
% 0.10/0.53 % Estimated wc time : 1092
% 0.10/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.10/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.10/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.10/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.10/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.10/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.10/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.10/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.10/0.65 % Solved by fo/fo6_bce.sh.
% 0.10/0.65 % BCE start: 91
% 0.10/0.65 % BCE eliminated: 0
% 0.10/0.65 % PE start: 91
% 0.10/0.65 logic: eq
% 0.10/0.65 % PE eliminated: 5
% 0.10/0.65 % done 19 iterations in 0.022s
% 0.10/0.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.10/0.65 % SZS output start Refutation
% See solution above
% 0.10/0.65
% 0.10/0.65
% 0.10/0.65 % Terminating...
% 0.10/0.72 % Runner terminated.
% 0.10/0.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------