TSTP Solution File: SET096+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET096+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1EG0oUehJs 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 16:12:41 EDT 2023
% Result : Theorem 4.97s 1.24s
% Output : Refutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 47 ( 13 unt; 11 typ; 0 def)
% Number of atoms : 72 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 186 ( 19 ~; 25 |; 4 &; 131 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 42 !; 1 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(null_class_type,type,
null_class: $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(two_subsets_of_singleton,conjecture,
! [X: $i,Y: $i] :
( ( subclass @ X @ ( singleton @ Y ) )
=> ( ( X = null_class )
| ( ( singleton @ Y )
= X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( subclass @ X @ ( singleton @ Y ) )
=> ( ( X = null_class )
| ( ( singleton @ Y )
= X ) ) ),
inference('cnf.neg',[status(esa)],[two_subsets_of_singleton]) ).
thf(zip_derived_cl90,plain,
subclass @ sk__7 @ ( singleton @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl101,plain,
( ~ ( subclass @ ( singleton @ sk__8 ) @ sk__7 )
| ( ( singleton @ sk__8 )
= sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl6]) ).
thf(zip_derived_cl89,plain,
( ( singleton @ sk__8 )
!= sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
~ ( subclass @ ( singleton @ sk__8 ) @ sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl101,zip_derived_cl89]) ).
thf(regularity,axiom,
! [X: $i] :
( ( X != null_class )
=> ? [U: $i] :
( ( disjoint @ U @ X )
& ( member @ U @ X )
& ( member @ U @ universal_class ) ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ X0 )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl90_001,plain,
subclass @ sk__7 @ ( singleton @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subclass_defn,axiom,
! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ) ).
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_cl93,plain,
! [X0: $i] :
( ( member @ X0 @ ( singleton @ sk__8 ) )
| ~ ( member @ X0 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl0]) ).
thf(zip_derived_cl185,plain,
( ( sk__7 = null_class )
| ( member @ ( sk__5 @ sk__7 ) @ ( singleton @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl93]) ).
thf(zip_derived_cl91,plain,
sk__7 != null_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
member @ ( sk__5 @ sk__7 ) @ ( singleton @ sk__8 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl185,zip_derived_cl91]) ).
thf(singleton_set_defn,axiom,
! [X: $i] :
( ( singleton @ X )
= ( unordered_pair @ X @ X ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
thf(unordered_pair_defn,axiom,
! [U: $i,X: $i,Y: $i] :
( ( member @ U @ ( unordered_pair @ X @ Y ) )
<=> ( ( member @ U @ universal_class )
& ( ( U = X )
| ( U = Y ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 )
| ( X1 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).
thf(zip_derived_cl236,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl235]) ).
thf(zip_derived_cl240,plain,
( ( sk__5 @ sk__7 )
= sk__8 ),
inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl236]) ).
thf(zip_derived_cl84_002,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ X0 )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl250,plain,
( ( member @ sk__8 @ sk__7 )
| ( sk__7 = null_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl84]) ).
thf(zip_derived_cl91_003,plain,
sk__7 != null_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl254,plain,
member @ sk__8 @ sk__7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl250,zip_derived_cl91]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl236_004,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl235]) ).
thf(zip_derived_cl238,plain,
! [X0: $i,X1: $i] :
( ( subclass @ ( singleton @ X0 ) @ X1 )
| ( ( sk_ @ X1 @ ( singleton @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl236]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl4629,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ( subclass @ ( singleton @ X0 ) @ X1 )
| ( subclass @ ( singleton @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl1]) ).
thf(zip_derived_cl4636,plain,
! [X0: $i,X1: $i] :
( ( subclass @ ( singleton @ X0 ) @ X1 )
| ~ ( member @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4629]) ).
thf(zip_derived_cl4790,plain,
subclass @ ( singleton @ sk__8 ) @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl4636]) ).
thf(zip_derived_cl4808,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl4790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET096+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1EG0oUehJs true
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 15:13:29 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % Running portfolio for 300 s
% 0.11/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.30 % Python version: Python 3.6.8
% 0.11/0.30 % Running in FO mode
% 0.15/0.52 % Total configuration time : 435
% 0.15/0.52 % Estimated wc time : 1092
% 0.15/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.59 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.59 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.59 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.59 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.60 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.60 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.60 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.97/1.24 % Solved by fo/fo5.sh.
% 4.97/1.24 % done 1225 iterations in 0.616s
% 4.97/1.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.97/1.24 % SZS output start Refutation
% See solution above
% 4.97/1.24
% 4.97/1.24
% 4.97/1.24 % Terminating...
% 5.61/1.39 % Runner terminated.
% 5.61/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------