%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET099-7 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KdnfbnYsqn true
% Computer : n016.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 0.48s 0.92s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET099-7 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KdnfbnYsqn true
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 13:17:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.44/0.60 % Total configuration time : 435
% 0.44/0.60 % Estimated wc time : 1092
% 0.44/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.92 % Solved by fo/fo3_bce.sh.
% 0.48/0.92 % BCE start: 79
% 0.48/0.92 % BCE eliminated: 7
% 0.48/0.92 % PE start: 72
% 0.48/0.92 logic: eq
% 0.48/0.92 % PE eliminated: 0
% 0.48/0.92 % done 231 iterations in 0.170s
% 0.48/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.92 % SZS output start Refutation
% 0.48/0.92 thf(universal_class_type, type, universal_class: $i).
% 0.48/0.92 thf(null_class_type, type, null_class: $i).
% 0.48/0.92 thf(member_type, type, member: $i > $i > $o).
% 0.48/0.92 thf(complement_type, type, complement: $i > $i).
% 0.48/0.92 thf(singleton_type, type, singleton: $i > $i).
% 0.48/0.92 thf(x_type, type, x: $i).
% 0.48/0.92 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.48/0.92 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.48/0.92 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.48/0.92 thf(prove_corollary_2_to_number_of_elements_in_class_1, conjecture,
% 0.48/0.92 (( not_subclass_element @
% 0.48/0.92 ( intersection @
% 0.48/0.92 ( complement @
% 0.48/0.92 ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 0.48/0.92 x ) @
% 0.48/0.92 null_class ) !=
% 0.48/0.92 ( not_subclass_element @ x @ null_class ))).
% 0.48/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.92 (( not_subclass_element @
% 0.48/0.92 ( intersection @
% 0.48/0.92 ( complement @
% 0.48/0.92 ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 0.48/0.92 x ) @
% 0.48/0.92 null_class ) =
% 0.48/0.92 ( not_subclass_element @ x @ null_class )),
% 0.48/0.92 inference('cnf.neg', [status(esa)],
% 0.48/0.92 [prove_corollary_2_to_number_of_elements_in_class_1])).
% 0.48/0.92 thf(zip_derived_cl78, plain,
% 0.48/0.92 (((not_subclass_element @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x) @
% 0.48/0.92 null_class) = (not_subclass_element @ x @ null_class))),
% 0.48/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.92 thf(null_class_is_unique, axiom,
% 0.48/0.92 (( ( Z ) = ( null_class ) ) |
% 0.48/0.92 ( member @ ( not_subclass_element @ Z @ null_class ) @ Z ))).
% 0.48/0.92 thf(zip_derived_cl49, plain,
% 0.48/0.92 (![X0 : $i]:
% 0.48/0.92 (((X0) = (null_class))
% 0.48/0.92 | (member @ (not_subclass_element @ X0 @ null_class) @ X0))),
% 0.48/0.92 inference('cnf', [status(esa)], [null_class_is_unique])).
% 0.48/0.92 thf(zip_derived_cl394, plain,
% 0.48/0.92 (( (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x))
% 0.48/0.92 | ((intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x) = (null_class)))),
% 0.48/0.92 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl49])).
% 0.48/0.92 thf(intersection1, axiom,
% 0.48/0.92 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 0.48/0.92 thf(zip_derived_cl16, plain,
% 0.48/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.92 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 0.48/0.92 inference('cnf', [status(esa)], [intersection1])).
% 0.48/0.92 thf(zip_derived_cl601, plain,
% 0.48/0.92 ((((intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x) = (null_class))
% 0.48/0.92 | (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class)))))),
% 0.48/0.92 inference('sup-', [status(thm)], [zip_derived_cl394, zip_derived_cl16])).
% 0.48/0.92 thf(number_of_elements_in_class, axiom,
% 0.48/0.92 (( member @
% 0.48/0.92 ( not_subclass_element @
% 0.48/0.92 ( intersection @
% 0.48/0.92 ( complement @
% 0.48/0.92 ( singleton @ ( not_subclass_element @ X @ null_class ) ) ) @
% 0.48/0.92 X ) @
% 0.48/0.92 null_class ) @
% 0.48/0.92 ( intersection @
% 0.48/0.92 ( complement @
% 0.48/0.92 ( singleton @ ( not_subclass_element @ X @ null_class ) ) ) @
% 0.48/0.92 X ) ) |
% 0.48/0.92 ( ( singleton @ ( not_subclass_element @ X @ null_class ) ) = ( X ) ) |
% 0.48/0.92 ( ( X ) = ( null_class ) ))).
% 0.48/0.92 thf(zip_derived_cl75, plain,
% 0.48/0.92 (![X0 : $i]:
% 0.48/0.92 ( (member @
% 0.48/0.92 (not_subclass_element @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @
% 0.48/0.92 (singleton @ (not_subclass_element @ X0 @ null_class))) @
% 0.48/0.92 X0) @
% 0.48/0.92 null_class) @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @
% 0.48/0.92 (singleton @ (not_subclass_element @ X0 @ null_class))) @
% 0.48/0.92 X0))
% 0.48/0.92 | ((singleton @ (not_subclass_element @ X0 @ null_class)) = (X0))
% 0.48/0.92 | ((X0) = (null_class)))),
% 0.48/0.92 inference('cnf', [status(esa)], [number_of_elements_in_class])).
% 0.48/0.92 thf(zip_derived_cl919, plain,
% 0.48/0.92 (( (member @
% 0.48/0.92 (not_subclass_element @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x) @
% 0.48/0.92 null_class) @
% 0.48/0.92 null_class)
% 0.48/0.92 | (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))))
% 0.48/0.92 | ((x) = (null_class))
% 0.48/0.92 | ((singleton @ (not_subclass_element @ x @ null_class)) = (x)))),
% 0.48/0.92 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl75])).
% 0.48/0.92 thf(zip_derived_cl78, plain,
% 0.48/0.92 (((not_subclass_element @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x) @
% 0.48/0.92 null_class) = (not_subclass_element @ x @ null_class))),
% 0.48/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.92 thf(existence_of_null_class, axiom, (~( member @ Z @ null_class ))).
% 0.48/0.92 thf(zip_derived_cl46, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.48/0.92 inference('cnf', [status(esa)], [existence_of_null_class])).
% 0.48/0.92 thf(zip_derived_cl932, plain,
% 0.48/0.92 (( (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))))
% 0.48/0.92 | ((x) = (null_class))
% 0.48/0.92 | ((singleton @ (not_subclass_element @ x @ null_class)) = (x)))),
% 0.48/0.92 inference('demod', [status(thm)],
% 0.48/0.92 [zip_derived_cl919, zip_derived_cl78, zip_derived_cl46])).
% 0.48/0.92 thf(prove_corollary_2_to_number_of_elements_in_class_2, conjecture,
% 0.48/0.92 (( singleton @ ( not_subclass_element @ x @ null_class ) ) = ( x ))).
% 0.48/0.92 thf(zf_stmt_1, negated_conjecture,
% 0.48/0.92 (( singleton @ ( not_subclass_element @ x @ null_class ) ) != ( x )),
% 0.48/0.92 inference('cnf.neg', [status(esa)],
% 0.48/0.92 [prove_corollary_2_to_number_of_elements_in_class_2])).
% 0.48/0.92 thf(zip_derived_cl77, plain,
% 0.48/0.92 (((singleton @ (not_subclass_element @ x @ null_class)) != (x))),
% 0.48/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.92 thf(prove_corollary_2_to_number_of_elements_in_class_3, conjecture,
% 0.48/0.92 (( x ) = ( null_class ))).
% 0.48/0.92 thf(zf_stmt_2, negated_conjecture, (( x ) != ( null_class )),
% 0.48/0.92 inference('cnf.neg', [status(esa)],
% 0.48/0.92 [prove_corollary_2_to_number_of_elements_in_class_3])).
% 0.48/0.92 thf(zip_derived_cl76, plain, (((x) != (null_class))),
% 0.48/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/0.92 thf(zip_derived_cl933, plain,
% 0.48/0.92 ( (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))))),
% 0.48/0.92 inference('simplify_reflect-', [status(thm)],
% 0.48/0.92 [zip_derived_cl932, zip_derived_cl77, zip_derived_cl76])).
% 0.48/0.92 thf(complement1, axiom,
% 0.48/0.92 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.48/0.92 thf(zip_derived_cl19, plain,
% 0.48/0.92 (![X0 : $i, X1 : $i]:
% 0.48/0.92 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.48/0.92 inference('cnf', [status(esa)], [complement1])).
% 0.48/0.92 thf(zip_derived_cl1080, plain,
% 0.48/0.92 (~ (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (singleton @ (not_subclass_element @ x @ null_class)))),
% 0.48/0.92 inference('sup-', [status(thm)], [zip_derived_cl933, zip_derived_cl19])).
% 0.48/0.92 thf(set_in_its_singleton, axiom,
% 0.48/0.92 (( ~( member @ X @ universal_class ) ) | ( member @ X @ ( singleton @ X ) ))).
% 0.48/0.92 thf(zip_derived_cl65, plain,
% 0.48/0.92 (![X0 : $i]:
% 0.48/0.92 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 0.48/0.92 inference('cnf', [status(esa)], [set_in_its_singleton])).
% 0.48/0.92 thf(zip_derived_cl1099, plain,
% 0.48/0.92 (~ (member @ (not_subclass_element @ x @ null_class) @ universal_class)),
% 0.48/0.92 inference('sup+', [status(thm)], [zip_derived_cl1080, zip_derived_cl65])).
% 0.48/0.92 thf(zip_derived_cl78, plain,
% 0.48/0.92 (((not_subclass_element @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x) @
% 0.48/0.92 null_class) = (not_subclass_element @ x @ null_class))),
% 0.48/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.92 thf(zip_derived_cl75, plain,
% 0.48/0.92 (![X0 : $i]:
% 0.48/0.92 ( (member @
% 0.48/0.92 (not_subclass_element @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @
% 0.48/0.92 (singleton @ (not_subclass_element @ X0 @ null_class))) @
% 0.48/0.92 X0) @
% 0.48/0.92 null_class) @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @
% 0.48/0.92 (singleton @ (not_subclass_element @ X0 @ null_class))) @
% 0.48/0.92 X0))
% 0.48/0.92 | ((singleton @ (not_subclass_element @ X0 @ null_class)) = (X0))
% 0.48/0.92 | ((X0) = (null_class)))),
% 0.48/0.92 inference('cnf', [status(esa)], [number_of_elements_in_class])).
% 0.48/0.92 thf(zip_derived_cl925, plain,
% 0.48/0.92 (( (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x))
% 0.48/0.92 | ((x) = (null_class))
% 0.48/0.92 | ((singleton @ (not_subclass_element @ x @ null_class)) = (x)))),
% 0.48/0.92 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl75])).
% 0.48/0.92 thf(zip_derived_cl77, plain,
% 0.48/0.92 (((singleton @ (not_subclass_element @ x @ null_class)) != (x))),
% 0.48/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.92 thf(zip_derived_cl76, plain, (((x) != (null_class))),
% 0.48/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/0.92 thf(zip_derived_cl941, plain,
% 0.48/0.92 ( (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (intersection @
% 0.48/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 0.48/0.92 x))),
% 0.48/0.92 inference('simplify_reflect-', [status(thm)],
% 0.48/0.92 [zip_derived_cl925, zip_derived_cl77, zip_derived_cl76])).
% 0.48/0.92 thf(zip_derived_cl1099, plain,
% 0.48/0.92 (~ (member @ (not_subclass_element @ x @ null_class) @ universal_class)),
% 0.48/0.92 inference('sup+', [status(thm)], [zip_derived_cl1080, zip_derived_cl65])).
% 0.48/0.92 thf(singleton_is_null_class, axiom,
% 0.48/0.92 (( member @ X @ universal_class ) | ( ( singleton @ X ) = ( null_class ) ))).
% 0.48/0.92 thf(zip_derived_cl69, plain,
% 0.48/0.92 (![X0 : $i]:
% 0.48/0.92 ( (member @ X0 @ universal_class) | ((singleton @ X0) = (null_class)))),
% 0.48/0.92 inference('cnf', [status(esa)], [singleton_is_null_class])).
% 0.48/0.92 thf(zip_derived_cl1102, plain,
% 0.48/0.92 (((singleton @ (not_subclass_element @ x @ null_class)) = (null_class))),
% 0.48/0.92 inference('sup+', [status(thm)], [zip_derived_cl1099, zip_derived_cl69])).
% 0.48/0.92 thf(zip_derived_cl1247, plain,
% 0.48/0.92 ( (member @ (not_subclass_element @ x @ null_class) @
% 0.48/0.92 (intersection @ (complement @ null_class) @ x))),
% 0.48/0.92 inference('demod', [status(thm)], [zip_derived_cl941, zip_derived_cl1102])).
% 0.48/0.92 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.48/0.92 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.48/0.92 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.48/0.92 thf(subclass_members, axiom,
% 0.48/0.92 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.48/0.92 thf(zip_derived_cl0, plain,
% 0.48/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.92 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.48/0.92 inference('cnf', [status(esa)], [subclass_members])).
% 0.48/0.92 thf(zip_derived_cl290, plain,
% 0.48/0.92 (![X0 : $i, X1 : $i]:
% 0.48/0.92 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 0.48/0.92 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.48/0.92 thf(zip_derived_cl1286, plain,
% 0.48/0.92 ( (member @ (not_subclass_element @ x @ null_class) @ universal_class)),
% 0.48/0.92 inference('sup-', [status(thm)], [zip_derived_cl1247, zip_derived_cl290])).
% 0.48/0.92 thf(zip_derived_cl1299, plain, ($false),
% 0.48/0.92 inference('demod', [status(thm)],
% 0.48/0.92 [zip_derived_cl1099, zip_derived_cl1286])).
% 0.48/0.92
% 0.48/0.92 % SZS output end Refutation
% 0.48/0.92
% 0.48/0.92
% 0.48/0.92 % Terminating...
% 1.52/1.05 % Runner terminated.
% 1.52/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------