%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET095+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.YW1BaUcJKR true
% Computer : n017.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 3.54s 1.95s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 8 ~; 12 |; 1 &; 77 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
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(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(property_of_singletons2,conjecture,
! [X: $i,Y: $i] :
( ( member @ X @ Y )
=> ( subclass @ ( singleton @ X ) @ Y ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( member @ X @ Y )
=> ( subclass @ ( singleton @ X ) @ Y ) ),
inference('cnf.neg',[status(esa)],[property_of_singletons2]) ).
thf(zip_derived_cl90,plain,
~ ( subclass @ ( singleton @ sk__7 ) @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl491,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_cl492,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl491]) ).
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_cl493,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ X1 @ ( singleton @ X0 ) )
= X0 )
| ( subclass @ ( singleton @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl492,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_cl3260,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ( subclass @ ( singleton @ X0 ) @ X1 )
| ( subclass @ ( singleton @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl1]) ).
thf(zip_derived_cl3268,plain,
! [X0: $i,X1: $i] :
( ( subclass @ ( singleton @ X0 ) @ X1 )
| ~ ( member @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3260]) ).
thf(zip_derived_cl89,plain,
member @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3925,plain,
subclass @ ( singleton @ sk__7 ) @ sk__8,
inference('sup+',[status(thm)],[zip_derived_cl3268,zip_derived_cl89]) ).
thf(zip_derived_cl4004,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl3925]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.29 % Problem : SET095+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.07/0.31 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YW1BaUcJKR true
% 0.08/0.55 % Computer : n017.cluster.edu
% 0.08/0.55 % Model : x86_64 x86_64
% 0.08/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.55 % Memory : 8042.1875MB
% 0.08/0.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.55 % CPULimit : 300
% 0.08/0.55 % WCLimit : 300
% 0.08/0.55 % DateTime : Wed Oct 1 13:16:08 EDT 2025
% 0.08/0.55 % CPUTime :
% 0.08/0.55 % Running portfolio for 300 s
% 0.08/0.55 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.55 % Number of cores: 8
% 0.08/0.56 % Python version: Python 3.6.8
% 0.08/0.57 % Running in FO mode
% 0.23/0.82 % Total configuration time : 435
% 0.23/0.82 % Estimated wc time : 1092
% 0.23/0.82 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/1.12 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/1.13 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/1.15 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/1.16 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/1.18 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/1.43 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.54/1.95 % Solved by fo/fo3_bce.sh.
% 3.54/1.95 % BCE start: 91
% 3.54/1.95 % BCE eliminated: 0
% 3.54/1.95 % PE start: 91
% 3.54/1.95 logic: eq
% 3.54/1.95 % PE eliminated: 5
% 3.54/1.95 % done 844 iterations in 0.843s
% 3.54/1.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.54/1.95 % SZS output start Refutation
% See solution above
% 3.54/1.95
% 3.54/1.95
% 3.54/1.95 % Terminating...
% 3.86/2.10 % Runner terminated.
% 3.86/2.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------