%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET096+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xYc8IfEnYz true
% Computer : n026.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 Oct 2 04:51:33 PM UTC 2025
% Result : Theorem 5.19s 1.35s
% Output : Refutation 5.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 29 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 183 ( 20 ~; 26 |; 4 &; 126 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 43 !; 1 ?; 44 :)
% 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_cl427,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_cl428,plain,
~ ( subclass @ ( singleton @ sk__8 ) @ sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl427,zip_derived_cl89]) ).
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_cl516,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_cl517,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl516]) ).
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(zip_derived_cl527,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ X1 @ ( singleton @ X0 ) )
= X0 )
| ( subclass @ ( singleton @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl517,zip_derived_cl2]) ).
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_cl4292,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ( subclass @ ( singleton @ X0 ) @ X1 )
| ( subclass @ ( singleton @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl1]) ).
thf(zip_derived_cl4300,plain,
! [X0: $i,X1: $i] :
( ( subclass @ ( singleton @ X0 ) @ X1 )
| ~ ( member @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4292]) ).
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(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_cl426,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_cl517_002,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl516]) ).
thf(zip_derived_cl576,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__7 )
| ( X0 = sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl517]) ).
thf(zip_derived_cl583,plain,
( ( sk__7 = null_class )
| ( ( sk__5 @ sk__7 )
= sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl576]) ).
thf(zip_derived_cl91,plain,
sk__7 != null_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl584,plain,
( ( sk__5 @ sk__7 )
= sk__8 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl583,zip_derived_cl91]) ).
thf(zip_derived_cl84_003,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ X0 )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl586,plain,
( ( member @ sk__8 @ sk__7 )
| ( sk__7 = null_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl584,zip_derived_cl84]) ).
thf(zip_derived_cl91_004,plain,
sk__7 != null_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl589,plain,
member @ sk__8 @ sk__7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl586,zip_derived_cl91]) ).
thf(zip_derived_cl4634,plain,
subclass @ ( singleton @ sk__8 ) @ sk__7,
inference('sup+',[status(thm)],[zip_derived_cl4300,zip_derived_cl589]) ).
thf(zip_derived_cl4706,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl4634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SET096+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.05/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xYc8IfEnYz true
% 0.14/0.35 % Computer : n026.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 : Wed Oct 1 13:00:08 EDT 2025
% 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.19/1.35 % Solved by fo/fo3_bce.sh.
% 5.19/1.35 % BCE start: 92
% 5.19/1.35 % BCE eliminated: 0
% 5.19/1.35 % PE start: 92
% 5.19/1.35 logic: eq
% 5.19/1.35 % PE eliminated: 5
% 5.19/1.35 % done 888 iterations in 0.569s
% 5.19/1.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.19/1.35 % SZS output start Refutation
% See solution above
% 5.19/1.35
% 5.19/1.35
% 5.19/1.35 % Terminating...
% 5.19/1.39 % Runner terminated.
% 5.19/1.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------