%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET103-6 : 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.Ky9rxrgwxz true
% Computer : n001.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 04:51:35 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.85s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET103-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ky9rxrgwxz true
% 0.13/0.34 % Computer : n001.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 13:23:23 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.49/0.63 % Total configuration time : 435
% 0.49/0.63 % Estimated wc time : 1092
% 0.49/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.57/0.85 % Solved by fo/fo6_bce.sh.
% 0.57/0.85 % BCE start: 93
% 0.57/0.85 % BCE eliminated: 0
% 0.57/0.85 % PE start: 93
% 0.57/0.85 logic: eq
% 0.57/0.85 % PE eliminated: 16
% 0.57/0.85 % done 140 iterations in 0.118s
% 0.57/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.85 % SZS output start Refutation
% 0.57/0.85 thf(universal_class_type, type, universal_class: $i).
% 0.57/0.85 thf(null_class_type, type, null_class: $i).
% 0.57/0.85 thf(member_type, type, member: $i > $i > $o).
% 0.57/0.85 thf(x_type, type, x: $i).
% 0.57/0.85 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.57/0.85 thf(y_type, type, y: $i).
% 0.57/0.85 thf(singleton_type, type, singleton: $i > $i).
% 0.57/0.85 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.57/0.85 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.57/0.85 thf(regular_type, type, regular: $i > $i).
% 0.57/0.85 thf(prove_property_1_of_ordered_pair_2, conjecture,
% 0.57/0.85 (member @ y @ universal_class)).
% 0.57/0.85 thf(zf_stmt_0, negated_conjecture, (~( member @ y @ universal_class )),
% 0.57/0.85 inference('cnf.neg', [status(esa)], [prove_property_1_of_ordered_pair_2])).
% 0.57/0.85 thf(zip_derived_cl92, plain, (~ (member @ y @ universal_class)),
% 0.57/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.85 thf(regularity1, axiom,
% 0.57/0.85 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 0.57/0.85 thf(zip_derived_cl65, plain,
% 0.57/0.85 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.57/0.85 inference('cnf', [status(esa)], [regularity1])).
% 0.57/0.85 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.57/0.85 thf(zip_derived_cl11, plain,
% 0.57/0.85 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.57/0.85 inference('cnf', [status(esa)], [singleton_set])).
% 0.57/0.85 thf(unordered_pair_member, axiom,
% 0.57/0.85 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.57/0.85 ( ( U ) = ( Y ) ))).
% 0.57/0.85 thf(zip_derived_cl7, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.85 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.57/0.85 | ((X0) = (X1))
% 0.57/0.85 | ((X0) = (X2)))),
% 0.57/0.85 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.57/0.85 thf(zip_derived_cl437, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.57/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 0.57/0.85 thf(zip_derived_cl438, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.57/0.85 inference('simplify', [status(thm)], [zip_derived_cl437])).
% 0.57/0.85 thf(zip_derived_cl673, plain,
% 0.57/0.85 (![X0 : $i]:
% 0.57/0.85 (((singleton @ X0) = (null_class))
% 0.57/0.85 | ((regular @ (singleton @ X0)) = (X0)))),
% 0.57/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl438])).
% 0.57/0.85 thf(zip_derived_cl65, plain,
% 0.57/0.85 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.57/0.85 inference('cnf', [status(esa)], [regularity1])).
% 0.57/0.85 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.57/0.85 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.57/0.85 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.57/0.85 thf(subclass_members, axiom,
% 0.57/0.85 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.57/0.85 thf(zip_derived_cl0, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.85 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.57/0.85 inference('cnf', [status(esa)], [subclass_members])).
% 0.57/0.85 thf(zip_derived_cl418, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.57/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.57/0.85 thf(zip_derived_cl671, plain,
% 0.57/0.85 (![X0 : $i]:
% 0.57/0.85 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 0.57/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl418])).
% 0.57/0.85 thf(zip_derived_cl696, plain,
% 0.57/0.85 (![X0 : $i]:
% 0.57/0.85 (((singleton @ X0) = (null_class))
% 0.57/0.85 | ((singleton @ X0) = (null_class))
% 0.57/0.85 | (member @ X0 @ universal_class))),
% 0.57/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl671])).
% 0.57/0.85 thf(zip_derived_cl699, plain,
% 0.57/0.85 (![X0 : $i]:
% 0.57/0.85 ( (member @ X0 @ universal_class) | ((singleton @ X0) = (null_class)))),
% 0.57/0.85 inference('simplify', [status(thm)], [zip_derived_cl696])).
% 0.57/0.85 thf(ordered_pair, axiom,
% 0.57/0.85 (( unordered_pair @
% 0.57/0.85 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.57/0.85 ( ordered_pair @ X @ Y ))).
% 0.57/0.85 thf(zip_derived_cl12, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 ((unordered_pair @ (singleton @ X0) @
% 0.57/0.85 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.57/0.85 inference('cnf', [status(esa)], [ordered_pair])).
% 0.57/0.85 thf(zip_derived_cl722, plain,
% 0.57/0.85 (![X0 : $i, X1 : $i]:
% 0.57/0.85 ( (member @ X0 @ universal_class)
% 0.57/0.85 | ((unordered_pair @ (singleton @ X1) @
% 0.57/0.85 (unordered_pair @ X1 @ null_class)) = (ordered_pair @ X1 @ X0)))),
% 0.57/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl699, zip_derived_cl12])).
% 0.57/0.85 thf(prove_property_1_of_ordered_pair_1, conjecture,
% 0.57/0.85 (( unordered_pair @ ( singleton @ x ) @ ( unordered_pair @ x @ null_class ) ) =
% 0.57/0.85 ( ordered_pair @ x @ y ))).
% 0.57/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.85 (( unordered_pair @ ( singleton @ x ) @ ( unordered_pair @ x @ null_class ) ) !=
% 0.57/0.85 ( ordered_pair @ x @ y )),
% 0.57/0.85 inference('cnf.neg', [status(esa)], [prove_property_1_of_ordered_pair_1])).
% 0.57/0.85 thf(zip_derived_cl91, plain,
% 0.57/0.85 (((unordered_pair @ (singleton @ x) @ (unordered_pair @ x @ null_class))
% 0.57/0.85 != (ordered_pair @ x @ y))),
% 0.57/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.85 thf(zip_derived_cl784, plain,
% 0.57/0.85 (![X0 : $i]:
% 0.57/0.85 ( (member @ X0 @ universal_class)
% 0.57/0.85 | ((ordered_pair @ x @ X0) != (ordered_pair @ x @ y)))),
% 0.57/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl722, zip_derived_cl91])).
% 0.57/0.85 thf(zip_derived_cl800, plain, ( (member @ y @ universal_class)),
% 0.57/0.85 inference('eq_res', [status(thm)], [zip_derived_cl784])).
% 0.57/0.85 thf(zip_derived_cl802, plain, ($false),
% 0.57/0.85 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl800])).
% 0.57/0.85
% 0.57/0.85 % SZS output end Refutation
% 0.57/0.85
% 0.57/0.85
% 0.57/0.85 % Terminating...
% 0.62/0.94 % Runner terminated.
% 0.62/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------