TSTP Solution File: SET117+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET117+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.XSbjB7G8gg true
% Computer : n025.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 16:12:52 EDT 2023
% Result : Theorem 0.20s 0.73s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 13 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 52 ( 2 ~; 0 |; 0 &; 48 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(second_type,type,
second: $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(first_type,type,
first: $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(corollary_1_to_ordered_pairs_are_sets,conjecture,
! [X: $i] :
( ( ( ordered_pair @ ( first @ X ) @ ( second @ X ) )
= X )
=> ( member @ X @ universal_class ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
( ( ( ordered_pair @ ( first @ X ) @ ( second @ X ) )
= X )
=> ( member @ X @ universal_class ) ),
inference('cnf.neg',[status(esa)],[corollary_1_to_ordered_pairs_are_sets]) ).
thf(zip_derived_cl90,plain,
~ ( member @ sk__7 @ universal_class ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
( ( ordered_pair @ ( first @ sk__7 ) @ ( second @ sk__7 ) )
= sk__7 ),
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(unordered_pair,axiom,
! [X: $i,Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] : ( member @ ( unordered_pair @ X0 @ X1 ) @ universal_class ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl463,plain,
! [X0: $i,X1: $i] : ( member @ ( ordered_pair @ X1 @ X0 ) @ universal_class ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(zip_derived_cl466,plain,
member @ sk__7 @ universal_class,
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl463]) ).
thf(zip_derived_cl467,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XSbjB7G8gg true
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 11:04:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % Solved by fo/fo6_bce.sh.
% 0.20/0.73 % BCE start: 91
% 0.20/0.73 % BCE eliminated: 0
% 0.20/0.73 % PE start: 91
% 0.20/0.73 logic: eq
% 0.20/0.73 % PE eliminated: 5
% 0.20/0.73 % done 41 iterations in 0.030s
% 0.20/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73 % SZS output start Refutation
% See solution above
% 0.20/0.73
% 0.20/0.73
% 0.20/0.73 % Terminating...
% 1.42/0.82 % Runner terminated.
% 1.42/0.84 % Zipperpin 1.5 exiting
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