TSTP Solution File: SET108+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET108+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.WdQhGj5Stq true
% Computer : n023.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 16:12:48 EDT 2023
% Result : Theorem 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 42 ( 23 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 98 ( 19 ~; 15 |; 12 &; 52 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 13 !; 8 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(existence_of_first_and_second,conjecture,
! [X: $i] :
? [U: $i,V: $i] :
( ( ( V = X )
& ( U = X )
& ~ ? [Y: $i,Z: $i] :
( ( X
= ( ordered_pair @ Y @ Z ) )
& ( member @ Z @ universal_class )
& ( member @ Y @ universal_class ) ) )
| ( ( X
= ( ordered_pair @ U @ V ) )
& ( member @ V @ universal_class )
& ( member @ U @ universal_class ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
? [U: $i,V: $i] :
( ( ( V = X )
& ( U = X )
& ~ ? [Y: $i,Z: $i] :
( ( X
= ( ordered_pair @ Y @ Z ) )
& ( member @ Z @ universal_class )
& ( member @ Y @ universal_class ) ) )
| ( ( X
= ( ordered_pair @ U @ V ) )
& ( member @ V @ universal_class )
& ( member @ U @ universal_class ) ) ),
inference('cnf.neg',[status(esa)],[existence_of_first_and_second]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X2: $i] :
( ( X2 != sk__7 )
| ( X0 != sk__7 )
| ( sk__7
= ( ordered_pair @ sk__8 @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl447,plain,
! [X0: $i] :
( ( sk__7
= ( ordered_pair @ sk__8 @ sk__9 ) )
| ( X0 != sk__7 ) ),
inference(condensation,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl448,plain,
( sk__7
= ( ordered_pair @ sk__8 @ sk__9 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ( sk__7
!= ( ordered_pair @ X0 @ X1 ) )
| ~ ( member @ X1 @ universal_class )
| ~ ( member @ X0 @ universal_class ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl449,plain,
( ( sk__7 != sk__7 )
| ~ ( member @ sk__8 @ universal_class )
| ~ ( member @ sk__9 @ universal_class ) ),
inference('sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl89]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X2: $i] :
( ( X2 != sk__7 )
| ( X0 != sk__7 )
| ( member @ sk__8 @ universal_class ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl430,plain,
! [X0: $i] :
( ( member @ sk__8 @ universal_class )
| ( X0 != sk__7 ) ),
inference(condensation,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl431,plain,
member @ sk__8 @ universal_class,
inference(eq_res,[status(thm)],[zip_derived_cl430]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X2: $i] :
( ( X2 != sk__7 )
| ( X0 != sk__7 )
| ( member @ sk__9 @ universal_class ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl428,plain,
! [X0: $i] :
( ( member @ sk__9 @ universal_class )
| ( X0 != sk__7 ) ),
inference(condensation,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl429,plain,
member @ sk__9 @ universal_class,
inference(eq_res,[status(thm)],[zip_derived_cl428]) ).
thf(zip_derived_cl450,plain,
sk__7 != sk__7,
inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl431,zip_derived_cl429]) ).
thf(zip_derived_cl451,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl450]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET108+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.WdQhGj5Stq true
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 16:41:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.68 % Total configuration time : 435
% 0.56/0.68 % Estimated wc time : 1092
% 0.56/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.79 % Solved by fo/fo3_bce.sh.
% 0.59/0.79 % BCE start: 93
% 0.59/0.79 % BCE eliminated: 0
% 0.59/0.79 % PE start: 93
% 0.59/0.79 logic: eq
% 0.59/0.79 % PE eliminated: 5
% 0.59/0.79 % done 26 iterations in 0.023s
% 0.59/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.79 % SZS output start Refutation
% See solution above
% 0.59/0.79
% 0.59/0.79
% 0.59/0.79 % Terminating...
% 1.79/0.87 % Runner terminated.
% 1.79/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------