%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET090+1 : TPTP v9.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RRcVfDNm34 true
% Computer : n008.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 04:51:31 PM UTC 2025
% Result : Theorem 0.49s 0.78s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 24 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 119 ( 13 ~; 14 |; 3 &; 85 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(member_of_type,type,
member_of: $i > $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(member_of_singleton,conjecture,
! [X: $i,U: $i] :
( ( ( member @ U @ universal_class )
& ( X
= ( singleton @ U ) ) )
=> ( ( member_of @ X )
= U ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,U: $i] :
( ( ( member @ U @ universal_class )
& ( X
= ( singleton @ U ) ) )
=> ( ( member_of @ X )
= U ) ),
inference('cnf.neg',[status(esa)],[member_of_singleton]) ).
thf(zip_derived_cl94,plain,
( sk__7
= ( singleton @ 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_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 )
| ~ ( member @ X0 @ universal_class ) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
thf(zip_derived_cl483,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ universal_class )
| ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl587,plain,
! [X0: $i] :
( ~ ( member @ X0 @ universal_class )
| ( member @ X0 @ ( singleton @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl483]) ).
thf(zip_derived_cl625,plain,
( ~ ( member @ sk__8 @ universal_class )
| ( member @ sk__8 @ sk__7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl587]) ).
thf(zip_derived_cl93,plain,
member @ sk__8 @ universal_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl627,plain,
member @ sk__8 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl625,zip_derived_cl93]) ).
thf(zip_derived_cl94_001,plain,
( sk__7
= ( singleton @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(member_singleton_singleton,axiom,
! [Y: $i] :
( ( member @ Y @ universal_class )
=> ( ( singleton @ ( member_of @ ( singleton @ Y ) ) )
= ( singleton @ Y ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ( ( singleton @ ( member_of @ ( singleton @ X0 ) ) )
= ( singleton @ X0 ) )
| ~ ( member @ X0 @ universal_class ) ),
inference(cnf,[status(esa)],[member_singleton_singleton]) ).
thf(zip_derived_cl446,plain,
( ( ( singleton @ ( member_of @ sk__7 ) )
= sk__7 )
| ~ ( member @ sk__8 @ universal_class ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl90]) ).
thf(zip_derived_cl93_002,plain,
member @ sk__8 @ universal_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl447,plain,
( ( singleton @ ( member_of @ sk__7 ) )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl93]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
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_cl472,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_cl473,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl472]) ).
thf(zip_derived_cl477,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__7 )
| ( X0
= ( member_of @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl473]) ).
thf(zip_derived_cl633,plain,
( sk__8
= ( member_of @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl477]) ).
thf(zip_derived_cl95,plain,
( ( member_of @ sk__7 )
!= sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl635,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl633,zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET090+1 : TPTP v9.2.0. Bugfixed v7.3.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RRcVfDNm34 true
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 13:03:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.44/0.61 % Total configuration time : 435
% 0.44/0.61 % Estimated wc time : 1092
% 0.44/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.49/0.78 % Solved by fo/fo6_bce.sh.
% 0.49/0.78 % BCE start: 96
% 0.49/0.78 % BCE eliminated: 0
% 0.49/0.78 % PE start: 96
% 0.49/0.78 logic: eq
% 0.49/0.78 % PE eliminated: 5
% 0.49/0.78 % done 92 iterations in 0.075s
% 0.49/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.78 % SZS output start Refutation
% See solution above
% 0.49/0.78
% 0.49/0.78
% 0.49/0.78 % Terminating...
% 0.49/0.83 % Runner terminated.
% 1.47/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------