TSTP Solution File: SET103+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET103+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.GL1Md3jKVv true
% Computer : n020.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 16:12:46 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 31 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 40 ( 24 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 125 ( 8 ~; 14 |; 3 &; 98 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 26 !; 1 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
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(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(property_1_of_ordered_pair,conjecture,
! [X: $i,Y: $i] :
( ( member @ Y @ universal_class )
| ( ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ null_class ) )
= ( ordered_pair @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( member @ Y @ universal_class )
| ( ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ null_class ) )
= ( ordered_pair @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[property_1_of_ordered_pair]) ).
thf(zip_derived_cl89,plain,
( ( unordered_pair @ ( singleton @ sk__7 ) @ ( unordered_pair @ sk__7 @ null_class ) )
!= ( ordered_pair @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ordered_pair_defn,axiom,
! [X: $i,Y: $i] :
( ( ordered_pair @ X @ Y )
= ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ ( singleton @ X1 ) ) ) ),
inference(cnf,[status(esa)],[ordered_pair_defn]) ).
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(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_cl476,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_cl477,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl476]) ).
thf(zip_derived_cl516,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
= null_class )
| ( ( sk__5 @ ( singleton @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl477]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ universal_class )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl532,plain,
! [X0: $i] :
( ( member @ X0 @ universal_class )
| ( ( singleton @ X0 )
= null_class )
| ( ( singleton @ X0 )
= null_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl516,zip_derived_cl85]) ).
thf(zip_derived_cl535,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
= null_class )
| ( member @ X0 @ universal_class ) ),
inference(simplify,[status(thm)],[zip_derived_cl532]) ).
thf(zip_derived_cl90,plain,
~ ( member @ sk__8 @ universal_class ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl554,plain,
( ( singleton @ sk__8 )
= null_class ),
inference('sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl90]) ).
thf(zip_derived_cl578,plain,
( ( unordered_pair @ ( singleton @ sk__7 ) @ ( unordered_pair @ sk__7 @ null_class ) )
!= ( unordered_pair @ ( singleton @ sk__7 ) @ ( unordered_pair @ sk__7 @ null_class ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl13,zip_derived_cl554]) ).
thf(zip_derived_cl579,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET103+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GL1Md3jKVv true
% 0.14/0.35 % Computer : n020.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 : Sat Aug 26 13:07:00 EDT 2023
% 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79 % Solved by fo/fo3_bce.sh.
% 0.21/0.79 % BCE start: 91
% 0.21/0.79 % BCE eliminated: 0
% 0.21/0.79 % PE start: 91
% 0.21/0.79 logic: eq
% 0.21/0.79 % PE eliminated: 5
% 0.21/0.79 % done 82 iterations in 0.042s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 1.52/0.85 % Runner terminated.
% 1.52/0.86 % Zipperpin 1.5 exiting
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