TSTP Solution File: SET081+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET081+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.7XK3B5161S 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 Aug 31 16:12:31 EDT 2023
% Result : Theorem 0.22s 0.74s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 22 ( 13 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 5 ~; 6 |; 1 &; 31 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
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(only_member_in_singleton,conjecture,
! [X: $i,Y: $i] :
( ( member @ Y @ ( singleton @ X ) )
=> ( Y = X ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( member @ Y @ ( singleton @ X ) )
=> ( Y = X ) ),
inference('cnf.neg',[status(esa)],[only_member_in_singleton]) ).
thf(zip_derived_cl89,plain,
member @ sk__8 @ ( singleton @ sk__7 ),
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_cl447,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).
thf(zip_derived_cl448,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl451,plain,
sk__8 = sk__7,
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl448]) ).
thf(zip_derived_cl90,plain,
sk__8 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl452,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl451,zip_derived_cl90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET081+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7XK3B5161S true
% 0.14/0.35 % Computer : n017.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 15:08:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % Solved by fo/fo6_bce.sh.
% 0.22/0.74 % BCE start: 91
% 0.22/0.74 % BCE eliminated: 0
% 0.22/0.74 % PE start: 91
% 0.22/0.74 logic: eq
% 0.22/0.74 % PE eliminated: 5
% 0.22/0.74 % done 28 iterations in 0.023s
% 0.22/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.74 % SZS output start Refutation
% See solution above
% 0.22/0.74
% 0.22/0.74
% 0.22/0.74 % Terminating...
% 1.44/0.84 % Runner terminated.
% 1.44/0.85 % Zipperpin 1.5 exiting
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