%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET084+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KQKUWDiNKf true
% Computer : n003.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 04:51:30 PM UTC 2025
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 89 ( 10 ~; 11 |; 3 &; 62 @)
% ( 1 <=>; 2 =>; 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 : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% 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(singleton_identified_by_element2,conjecture,
! [X: $i,Y: $i] :
( ( ( ( singleton @ X )
= ( singleton @ Y ) )
& ( member @ Y @ universal_class ) )
=> ( X = Y ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( ( ( singleton @ X )
= ( singleton @ Y ) )
& ( member @ Y @ universal_class ) )
=> ( X = Y ) ),
inference('cnf.neg',[status(esa)],[singleton_identified_by_element2]) ).
thf(zip_derived_cl89,plain,
( ( singleton @ 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_cl455,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_cl520,plain,
! [X0: $i] :
( ~ ( member @ X0 @ universal_class )
| ( member @ X0 @ ( singleton @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl455]) ).
thf(zip_derived_cl527,plain,
( ~ ( member @ sk__8 @ universal_class )
| ( member @ sk__8 @ ( singleton @ sk__7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl520]) ).
thf(zip_derived_cl90,plain,
member @ sk__8 @ universal_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl528,plain,
member @ sk__8 @ ( singleton @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl90]) ).
thf(zip_derived_cl12_001,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_cl448,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_cl449,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl448]) ).
thf(zip_derived_cl531,plain,
sk__8 = sk__7,
inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl449]) ).
thf(zip_derived_cl91,plain,
sk__7 != sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl533,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl531,zip_derived_cl91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET084+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KQKUWDiNKf true
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:09:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.48/0.62 % Total configuration time : 435
% 0.48/0.62 % Estimated wc time : 1092
% 0.48/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.77 % Solved by fo/fo6_bce.sh.
% 0.55/0.77 % BCE start: 92
% 0.55/0.77 % BCE eliminated: 0
% 0.55/0.77 % PE start: 92
% 0.55/0.77 logic: eq
% 0.55/0.77 % PE eliminated: 5
% 0.55/0.77 % done 78 iterations in 0.042s
% 0.55/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 1.55/0.84 % Runner terminated.
% 1.55/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------