%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET098-7 : 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.Md8Wjyor5k true
% Computer : n027.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 04:51:34 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.90s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SET098-7 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Md8Wjyor5k true
% 0.13/0.34 % Computer : n027.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 13:25:23 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /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/fo4.sh running for 50s
% 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
% 0.57/0.90 % Solved by fo/fo3_bce.sh.
% 0.57/0.90 % BCE start: 79
% 0.57/0.90 % BCE eliminated: 7
% 0.57/0.90 % PE start: 72
% 0.57/0.90 logic: eq
% 0.57/0.90 % PE eliminated: 0
% 0.57/0.90 % done 261 iterations in 0.163s
% 0.57/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.90 % SZS output start Refutation
% 0.57/0.90 thf(null_class_type, type, null_class: $i).
% 0.57/0.90 thf(member_type, type, member: $i > $i > $o).
% 0.57/0.90 thf(complement_type, type, complement: $i > $i).
% 0.57/0.90 thf(singleton_type, type, singleton: $i > $i).
% 0.57/0.90 thf(x_type, type, x: $i).
% 0.57/0.90 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.57/0.90 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.57/0.90 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.57/0.90 thf(number_of_elements_in_class, axiom,
% 0.57/0.90 (( member @
% 0.57/0.90 ( not_subclass_element @
% 0.57/0.90 ( intersection @
% 0.57/0.90 ( complement @
% 0.57/0.90 ( singleton @ ( not_subclass_element @ X @ null_class ) ) ) @
% 0.57/0.90 X ) @
% 0.57/0.90 null_class ) @
% 0.57/0.90 ( intersection @
% 0.57/0.90 ( complement @
% 0.57/0.90 ( singleton @ ( not_subclass_element @ X @ null_class ) ) ) @
% 0.57/0.90 X ) ) |
% 0.57/0.90 ( ( singleton @ ( not_subclass_element @ X @ null_class ) ) = ( X ) ) |
% 0.57/0.90 ( ( X ) = ( null_class ) ))).
% 0.57/0.90 thf(zip_derived_cl75, plain,
% 0.57/0.90 (![X0 : $i]:
% 0.57/0.90 ( (member @
% 0.57/0.90 (not_subclass_element @
% 0.57/0.90 (intersection @
% 0.57/0.90 (complement @
% 0.57/0.90 (singleton @ (not_subclass_element @ X0 @ null_class))) @
% 0.57/0.90 X0) @
% 0.57/0.90 null_class) @
% 0.57/0.90 (intersection @
% 0.57/0.90 (complement @
% 0.57/0.90 (singleton @ (not_subclass_element @ X0 @ null_class))) @
% 0.57/0.90 X0))
% 0.57/0.90 | ((singleton @ (not_subclass_element @ X0 @ null_class)) = (X0))
% 0.57/0.90 | ((X0) = (null_class)))),
% 0.57/0.90 inference('cnf', [status(esa)], [number_of_elements_in_class])).
% 0.57/0.90 thf(intersection2, axiom,
% 0.57/0.90 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 0.57/0.90 thf(zip_derived_cl17, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.90 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 0.57/0.90 inference('cnf', [status(esa)], [intersection2])).
% 0.57/0.90 thf(not_subclass_members1, axiom,
% 0.57/0.90 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.57/0.90 thf(zip_derived_cl1, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i]:
% 0.57/0.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.57/0.90 | (subclass @ X0 @ X1))),
% 0.57/0.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.57/0.90 thf(zip_derived_cl324, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.90 ( (member @ (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @
% 0.57/0.90 X0)
% 0.57/0.90 | (subclass @ (intersection @ X1 @ X0) @ X2))),
% 0.57/0.90 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 0.57/0.90 thf(prove_corollary_1_to_number_of_elements_in_class_1, conjecture,
% 0.57/0.90 (member @
% 0.57/0.90 ( not_subclass_element @
% 0.57/0.90 ( intersection @
% 0.57/0.90 ( complement @
% 0.57/0.90 ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 0.57/0.90 x ) @
% 0.57/0.90 null_class ) @
% 0.57/0.90 x)).
% 0.57/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.90 (~( member @
% 0.57/0.90 ( not_subclass_element @
% 0.57/0.90 ( intersection @
% 0.57/0.90 ( complement @
% 0.57/0.90 ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 0.57/0.90 x ) @
% 0.57/0.90 null_class ) @
% 0.57/0.90 x )),
% 0.57/0.90 inference('cnf.neg', [status(esa)],
% 0.57/0.90 [prove_corollary_1_to_number_of_elements_in_class_1])).
% 0.57/0.90 thf(zip_derived_cl78, plain,
% 0.57/0.90 (~ (member @
% 0.57/0.90 (not_subclass_element @
% 0.57/0.90 (intersection @
% 0.57/0.90 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.57/0.90 x) @
% 0.57/0.90 null_class) @
% 0.57/0.90 x)),
% 0.57/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.90 thf(zip_derived_cl1308, plain,
% 0.57/0.90 ( (subclass @
% 0.57/0.90 (intersection @
% 0.57/0.90 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.57/0.90 x) @
% 0.57/0.90 null_class)),
% 0.57/0.90 inference('sup-', [status(thm)], [zip_derived_cl324, zip_derived_cl78])).
% 0.57/0.90 thf(subclass_members, axiom,
% 0.57/0.90 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.57/0.90 thf(zip_derived_cl0, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.90 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.57/0.90 inference('cnf', [status(esa)], [subclass_members])).
% 0.57/0.90 thf(zip_derived_cl1327, plain,
% 0.57/0.90 (![X0 : $i]:
% 0.57/0.90 ( (member @ X0 @ null_class)
% 0.57/0.90 | ~ (member @ X0 @
% 0.57/0.90 (intersection @
% 0.57/0.90 (complement @
% 0.57/0.90 (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.57/0.90 x)))),
% 0.57/0.90 inference('sup-', [status(thm)], [zip_derived_cl1308, zip_derived_cl0])).
% 0.57/0.90 thf(existence_of_null_class, axiom, (~( member @ Z @ null_class ))).
% 0.57/0.90 thf(zip_derived_cl46, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.57/0.90 inference('cnf', [status(esa)], [existence_of_null_class])).
% 0.57/0.90 thf(zip_derived_cl1335, plain,
% 0.57/0.90 (![X0 : $i]:
% 0.57/0.90 ~ (member @ X0 @
% 0.57/0.90 (intersection @
% 0.57/0.90 (complement @
% 0.57/0.90 (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.57/0.90 x))),
% 0.57/0.90 inference('demod', [status(thm)], [zip_derived_cl1327, zip_derived_cl46])).
% 0.57/0.90 thf(zip_derived_cl1354, plain,
% 0.57/0.90 ((((x) = (null_class))
% 0.57/0.90 | ((singleton @ (not_subclass_element @ x @ null_class)) = (x)))),
% 0.57/0.90 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl1335])).
% 0.57/0.90 thf(prove_corollary_1_to_number_of_elements_in_class_2, conjecture,
% 0.57/0.90 (( singleton @ ( not_subclass_element @ x @ null_class ) ) = ( x ))).
% 0.57/0.90 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.90 (( singleton @ ( not_subclass_element @ x @ null_class ) ) != ( x )),
% 0.57/0.90 inference('cnf.neg', [status(esa)],
% 0.57/0.90 [prove_corollary_1_to_number_of_elements_in_class_2])).
% 0.57/0.90 thf(zip_derived_cl77, plain,
% 0.57/0.90 (((singleton @ (not_subclass_element @ x @ null_class)) != (x))),
% 0.57/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.90 thf(prove_corollary_1_to_number_of_elements_in_class_3, conjecture,
% 0.57/0.90 (( x ) = ( null_class ))).
% 0.57/0.90 thf(zf_stmt_2, negated_conjecture, (( x ) != ( null_class )),
% 0.57/0.90 inference('cnf.neg', [status(esa)],
% 0.57/0.90 [prove_corollary_1_to_number_of_elements_in_class_3])).
% 0.57/0.90 thf(zip_derived_cl76, plain, (((x) != (null_class))),
% 0.57/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.90 thf(zip_derived_cl1355, plain, ($false),
% 0.57/0.90 inference('simplify_reflect-', [status(thm)],
% 0.57/0.90 [zip_derived_cl1354, zip_derived_cl77, zip_derived_cl76])).
% 0.57/0.90
% 0.57/0.90 % SZS output end Refutation
% 0.57/0.90
% 0.57/0.90
% 0.57/0.90 % Terminating...
% 0.59/0.98 % Runner terminated.
% 0.59/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------