%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET067-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1Pl1Q0uQZH true
% Computer : n012.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 04:51:25 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.91s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET067-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1Pl1Q0uQZH true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:55:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.56/0.91 % Solved by fo/fo1_lcnf.sh.
% 0.56/0.91 % done 144 iterations in 0.093s
% 0.56/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.91 % SZS output start Refutation
% 0.56/0.91 thf(universal_class_type, type, universal_class: $i).
% 0.56/0.91 thf(member_type, type, member: $i > $i > $o).
% 0.56/0.91 thf(x_type, type, x: $i).
% 0.56/0.91 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.56/0.91 thf(y_type, type, y: $i).
% 0.56/0.91 thf(singleton_type, type, singleton: $i > $i).
% 0.56/0.91 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.56/0.91 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.56/0.91 thf(unordered_pair2, axiom,
% 0.56/0.91 (( ~( member @ X @ universal_class ) ) |
% 0.56/0.91 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.56/0.91 thf(zip_derived_cl8, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (((((~) @ (member @ X0 @ universal_class))) | (member @ X0 @
% 0.56/0.91 (unordered_pair @ X0 @ X1))))),
% 0.56/0.91 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.56/0.91 thf(zip_derived_cl224, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (~ (member @ X0 @ universal_class)
% 0.56/0.91 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.56/0.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])).
% 0.56/0.91 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.56/0.91 thf(zip_derived_cl11, plain,
% 0.56/0.91 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.56/0.91 inference('cnf', [status(esa)], [singleton_set])).
% 0.56/0.91 thf(unordered_pair_member, axiom,
% 0.56/0.91 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.56/0.91 ( ( U ) = ( Y ) ))).
% 0.56/0.91 thf(zip_derived_cl7, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.91 (((((~) @ (member @ X0 @ (unordered_pair @ X1 @ X2)))) |
% 0.56/0.91 (((X0) = (X1))) | (((X0) = (X2)))))),
% 0.56/0.91 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.56/0.91 thf(zip_derived_cl180, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.91 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.56/0.91 | (((X0) = (X1)))
% 0.56/0.91 | (((X0) = (X2))))),
% 0.56/0.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
% 0.56/0.91 thf(zip_derived_cl181, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.91 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.56/0.91 | ((X0) = (X1))
% 0.56/0.91 | ((X0) = (X2)))),
% 0.56/0.91 inference('simplify nested equalities', [status(thm)],
% 0.56/0.91 [zip_derived_cl180])).
% 0.56/0.91 thf(zip_derived_cl185, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.56/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl181])).
% 0.56/0.91 thf(zip_derived_cl188, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.56/0.91 inference('simplify', [status(thm)], [zip_derived_cl185])).
% 0.56/0.91 thf(not_subclass_members1, axiom,
% 0.56/0.91 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.56/0.91 thf(zip_derived_cl1, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (((member @ (not_subclass_element @ X0 @ X1) @ X0) | (subclass @
% 0.56/0.91 X0 @ X1)))),
% 0.56/0.91 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.56/0.91 thf(zip_derived_cl101, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.56/0.91 | (subclass @ X0 @ X1))),
% 0.56/0.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 0.56/0.91 thf(zip_derived_cl190, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (((not_subclass_element @ (singleton @ X0) @ X1) = (X0))
% 0.56/0.91 | (subclass @ (singleton @ X0) @ X1))),
% 0.56/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl188, zip_derived_cl101])).
% 0.56/0.91 thf(prove_singleton_in_unordered_pair1_1, conjecture,
% 0.56/0.91 (subclass @ ( singleton @ x ) @ ( unordered_pair @ x @ y ))).
% 0.56/0.91 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.91 (~( subclass @ ( singleton @ x ) @ ( unordered_pair @ x @ y ) )),
% 0.56/0.91 inference('cnf.neg', [status(esa)], [prove_singleton_in_unordered_pair1_1])).
% 0.56/0.91 thf(zip_derived_cl91, plain,
% 0.56/0.91 (~ (subclass @ (singleton @ x) @ (unordered_pair @ x @ y))),
% 0.56/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.91 thf(zip_derived_cl530, plain,
% 0.56/0.91 (((not_subclass_element @ (singleton @ x) @ (unordered_pair @ x @ y))
% 0.56/0.91 = (x))),
% 0.56/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl190, zip_derived_cl91])).
% 0.56/0.91 thf(not_subclass_members2, axiom,
% 0.56/0.91 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 0.56/0.91 ( subclass @ X @ Y ))).
% 0.56/0.91 thf(zip_derived_cl2, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (((((~) @ (member @ (not_subclass_element @ X0 @ X1) @ X1))) |
% 0.56/0.91 (subclass @ X0 @ X1)))),
% 0.56/0.91 inference('cnf', [status(esa)], [not_subclass_members2])).
% 0.56/0.91 thf(zip_derived_cl119, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.56/0.91 | (subclass @ X0 @ X1))),
% 0.56/0.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 0.56/0.91 thf(zip_derived_cl533, plain,
% 0.56/0.91 ((~ (member @ x @ (unordered_pair @ x @ y))
% 0.56/0.91 | (subclass @ (singleton @ x) @ (unordered_pair @ x @ y)))),
% 0.56/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl530, zip_derived_cl119])).
% 0.56/0.91 thf(zip_derived_cl91, plain,
% 0.56/0.91 (~ (subclass @ (singleton @ x) @ (unordered_pair @ x @ y))),
% 0.56/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.91 thf(zip_derived_cl556, plain, (~ (member @ x @ (unordered_pair @ x @ y))),
% 0.56/0.91 inference('clc', [status(thm)], [zip_derived_cl533, zip_derived_cl91])).
% 0.56/0.91 thf(zip_derived_cl557, plain, (~ (member @ x @ universal_class)),
% 0.56/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl224, zip_derived_cl556])).
% 0.56/0.91 thf(zip_derived_cl530, plain,
% 0.56/0.91 (((not_subclass_element @ (singleton @ x) @ (unordered_pair @ x @ y))
% 0.56/0.91 = (x))),
% 0.56/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl190, zip_derived_cl91])).
% 0.56/0.91 thf(zip_derived_cl101, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.56/0.91 | (subclass @ X0 @ X1))),
% 0.56/0.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 0.56/0.91 thf(zip_derived_cl532, plain,
% 0.56/0.91 (( (member @ x @ (singleton @ x))
% 0.56/0.91 | (subclass @ (singleton @ x) @ (unordered_pair @ x @ y)))),
% 0.56/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl530, zip_derived_cl101])).
% 0.56/0.91 thf(zip_derived_cl91, plain,
% 0.56/0.91 (~ (subclass @ (singleton @ x) @ (unordered_pair @ x @ y))),
% 0.56/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.91 thf(zip_derived_cl538, plain, ( (member @ x @ (singleton @ x))),
% 0.56/0.91 inference('clc', [status(thm)], [zip_derived_cl532, zip_derived_cl91])).
% 0.56/0.91 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.56/0.91 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.56/0.91 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.56/0.91 thf(subclass_members, axiom,
% 0.56/0.91 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.56/0.91 thf(zip_derived_cl0, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.91 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 0.56/0.91 (member @ X2 @ X1)))),
% 0.56/0.91 inference('cnf', [status(esa)], [subclass_members])).
% 0.56/0.91 thf(zip_derived_cl92, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.91 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.56/0.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 0.56/0.91 thf(zip_derived_cl93, plain,
% 0.56/0.91 (![X0 : $i, X1 : $i]:
% 0.56/0.91 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.56/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl92])).
% 0.56/0.91 thf(zip_derived_cl539, plain, ( (member @ x @ universal_class)),
% 0.56/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl538, zip_derived_cl93])).
% 0.56/0.91 thf(zip_derived_cl558, plain, ($false),
% 0.56/0.91 inference('demod', [status(thm)], [zip_derived_cl557, zip_derived_cl539])).
% 0.56/0.91
% 0.56/0.91 % SZS output end Refutation
% 0.56/0.91
% 0.56/0.91
% 0.56/0.91 % Terminating...
% 0.57/0.97 % Runner terminated.
% 0.57/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------