TSTP Solution File: SET097-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET097-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.igXqmvLY61 true
% Computer : n029.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 Aug 31 16:12:42 EDT 2023
% Result : Unsatisfiable 1.53s 0.92s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET097-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.igXqmvLY61 true
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 14:18:10 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.53/0.92 % Solved by fo/fo3_bce.sh.
% 1.53/0.92 % BCE start: 78
% 1.53/0.92 % BCE eliminated: 7
% 1.53/0.92 % PE start: 71
% 1.53/0.92 logic: eq
% 1.53/0.92 % PE eliminated: 0
% 1.53/0.92 % done 229 iterations in 0.178s
% 1.53/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.53/0.92 % SZS output start Refutation
% 1.53/0.92 thf(x_type, type, x: $i).
% 1.53/0.92 thf(universal_class_type, type, universal_class: $i).
% 1.53/0.92 thf(null_class_type, type, null_class: $i).
% 1.53/0.92 thf(member_type, type, member: $i > $i > $o).
% 1.53/0.92 thf(complement_type, type, complement: $i > $i).
% 1.53/0.92 thf(singleton_type, type, singleton: $i > $i).
% 1.53/0.92 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.53/0.92 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.53/0.92 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.53/0.92 thf(two_subsets_of_singleton, axiom,
% 1.53/0.92 (( ~( subclass @ X @ ( singleton @ Y ) ) ) | ( ( X ) = ( null_class ) ) |
% 1.53/0.92 ( ( singleton @ Y ) = ( X ) ))).
% 1.53/0.92 thf(zip_derived_cl74, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i]:
% 1.53/0.92 (~ (subclass @ X0 @ (singleton @ X1))
% 1.53/0.92 | ((X0) = (null_class))
% 1.53/0.92 | ((singleton @ X1) = (X0)))),
% 1.53/0.92 inference('cnf', [status(esa)], [two_subsets_of_singleton])).
% 1.53/0.92 thf(not_subclass_members1, axiom,
% 1.53/0.92 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.53/0.92 thf(zip_derived_cl1, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i]:
% 1.53/0.92 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.53/0.92 | (subclass @ X0 @ X1))),
% 1.53/0.92 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.53/0.92 thf(not_subclass_members2, axiom,
% 1.53/0.92 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.53/0.92 ( subclass @ X @ Y ))).
% 1.53/0.92 thf(zip_derived_cl2, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i]:
% 1.53/0.92 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.53/0.92 | (subclass @ X0 @ X1))),
% 1.53/0.92 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.53/0.92 thf(complement2, axiom,
% 1.53/0.92 (( ~( member @ Z @ universal_class ) ) |
% 1.53/0.92 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 1.53/0.92 thf(zip_derived_cl20, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i]:
% 1.53/0.92 (~ (member @ X0 @ universal_class)
% 1.53/0.92 | (member @ X0 @ (complement @ X1))
% 1.53/0.92 | (member @ X0 @ X1))),
% 1.53/0.92 inference('cnf', [status(esa)], [complement2])).
% 1.53/0.92 thf(zip_derived_cl1, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i]:
% 1.53/0.92 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.53/0.92 | (subclass @ X0 @ X1))),
% 1.53/0.92 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.53/0.92 thf(prove_number_of_elements_in_class_1, conjecture,
% 1.53/0.92 (member @
% 1.53/0.92 ( not_subclass_element @
% 1.53/0.92 ( intersection @
% 1.53/0.92 ( complement @
% 1.53/0.92 ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 1.53/0.92 x ) @
% 1.53/0.92 null_class ) @
% 1.53/0.92 ( intersection @
% 1.53/0.92 ( complement @ ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 1.53/0.92 x ))).
% 1.53/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.53/0.92 (~( member @
% 1.53/0.92 ( not_subclass_element @
% 1.53/0.92 ( intersection @
% 1.53/0.92 ( complement @
% 1.53/0.92 ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 1.53/0.92 x ) @
% 1.53/0.92 null_class ) @
% 1.53/0.92 ( intersection @
% 1.53/0.92 ( complement @
% 1.53/0.92 ( singleton @ ( not_subclass_element @ x @ null_class ) ) ) @
% 1.53/0.92 x ) )),
% 1.53/0.92 inference('cnf.neg', [status(esa)], [prove_number_of_elements_in_class_1])).
% 1.53/0.92 thf(zip_derived_cl77, plain,
% 1.53/0.92 (~ (member @
% 1.53/0.92 (not_subclass_element @
% 1.53/0.92 (intersection @
% 1.53/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 1.53/0.92 x) @
% 1.53/0.92 null_class) @
% 1.53/0.92 (intersection @
% 1.53/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 1.53/0.92 x))),
% 1.53/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.53/0.92 thf(zip_derived_cl283, plain,
% 1.53/0.92 ( (subclass @
% 1.53/0.92 (intersection @
% 1.53/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 1.53/0.92 x) @
% 1.53/0.92 null_class)),
% 1.53/0.92 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 1.53/0.92 thf(corollary_of_null_class_is_subclass, axiom,
% 1.53/0.92 (( ~( subclass @ X @ null_class ) ) | ( ( X ) = ( null_class ) ))).
% 1.53/0.92 thf(zip_derived_cl48, plain,
% 1.53/0.92 (![X0 : $i]: (~ (subclass @ X0 @ null_class) | ((X0) = (null_class)))),
% 1.53/0.92 inference('cnf', [status(esa)], [corollary_of_null_class_is_subclass])).
% 1.53/0.92 thf(zip_derived_cl297, plain,
% 1.53/0.92 (((intersection @
% 1.53/0.92 (complement @ (singleton @ (not_subclass_element @ x @ null_class))) @
% 1.53/0.92 x) = (null_class))),
% 1.53/0.92 inference('sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl48])).
% 1.53/0.92 thf(intersection3, axiom,
% 1.53/0.92 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 1.53/0.92 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 1.53/0.92 thf(zip_derived_cl18, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.92 (~ (member @ X0 @ X1)
% 1.53/0.92 | ~ (member @ X0 @ X2)
% 1.53/0.92 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 1.53/0.92 inference('cnf', [status(esa)], [intersection3])).
% 1.53/0.92 thf(zip_derived_cl530, plain,
% 1.53/0.92 (![X0 : $i]:
% 1.53/0.92 ( (member @ X0 @ null_class)
% 1.53/0.92 | ~ (member @ X0 @ x)
% 1.53/0.92 | ~ (member @ X0 @
% 1.53/0.92 (complement @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class)))))),
% 1.53/0.92 inference('sup+', [status(thm)], [zip_derived_cl297, zip_derived_cl18])).
% 1.53/0.92 thf(existence_of_null_class, axiom, (~( member @ Z @ null_class ))).
% 1.53/0.92 thf(zip_derived_cl46, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.53/0.92 inference('cnf', [status(esa)], [existence_of_null_class])).
% 1.53/0.92 thf(zip_derived_cl532, plain,
% 1.53/0.92 (![X0 : $i]:
% 1.53/0.92 (~ (member @ X0 @ x)
% 1.53/0.92 | ~ (member @ X0 @
% 1.53/0.92 (complement @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class)))))),
% 1.53/0.92 inference('demod', [status(thm)], [zip_derived_cl530, zip_derived_cl46])).
% 1.53/0.92 thf(zip_derived_cl581, plain,
% 1.53/0.92 (![X0 : $i]:
% 1.53/0.92 ( (member @ X0 @ (singleton @ (not_subclass_element @ x @ null_class)))
% 1.53/0.92 | ~ (member @ X0 @ universal_class)
% 1.53/0.92 | ~ (member @ X0 @ x))),
% 1.53/0.92 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl532])).
% 1.53/0.92 thf(zip_derived_cl874, plain,
% 1.53/0.92 (![X0 : $i]:
% 1.53/0.92 ( (subclass @ X0 @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class)))
% 1.53/0.92 | ~ (member @
% 1.53/0.92 (not_subclass_element @ X0 @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class))) @
% 1.53/0.92 x)
% 1.53/0.92 | ~ (member @
% 1.53/0.92 (not_subclass_element @ X0 @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class))) @
% 1.53/0.92 universal_class))),
% 1.53/0.92 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl581])).
% 1.53/0.92 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.53/0.92 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.53/0.92 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.53/0.92 thf(subclass_members, axiom,
% 1.53/0.92 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.53/0.92 thf(zip_derived_cl0, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.92 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.53/0.92 inference('cnf', [status(esa)], [subclass_members])).
% 1.53/0.92 thf(zip_derived_cl290, plain,
% 1.53/0.92 (![X0 : $i, X1 : $i]:
% 1.53/0.92 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 1.53/0.92 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.53/0.92 thf(zip_derived_cl1399, plain,
% 1.53/0.92 (![X0 : $i]:
% 1.53/0.92 (~ (member @
% 1.53/0.92 (not_subclass_element @ X0 @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class))) @
% 1.53/0.92 x)
% 1.53/0.92 | (subclass @ X0 @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class))))),
% 1.53/0.92 inference('clc', [status(thm)], [zip_derived_cl874, zip_derived_cl290])).
% 1.53/0.92 thf(zip_derived_cl1401, plain,
% 1.53/0.92 (( (subclass @ x @ (singleton @ (not_subclass_element @ x @ null_class)))
% 1.53/0.92 | (subclass @ x @
% 1.53/0.92 (singleton @ (not_subclass_element @ x @ null_class))))),
% 1.53/0.92 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1399])).
% 1.53/0.92 thf(zip_derived_cl1407, plain,
% 1.53/0.92 ( (subclass @ x @ (singleton @ (not_subclass_element @ x @ null_class)))),
% 1.53/0.92 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 1.53/0.92 thf(zip_derived_cl1421, plain,
% 1.53/0.92 ((((singleton @ (not_subclass_element @ x @ null_class)) = (x))
% 1.53/0.92 | ((x) = (null_class)))),
% 1.53/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl1407])).
% 1.53/0.92 thf(prove_number_of_elements_in_class_3, conjecture,
% 1.53/0.92 (( x ) = ( null_class ))).
% 1.53/0.92 thf(zf_stmt_1, negated_conjecture, (( x ) != ( null_class )),
% 1.53/0.92 inference('cnf.neg', [status(esa)], [prove_number_of_elements_in_class_3])).
% 1.53/0.92 thf(zip_derived_cl75, plain, (((x) != (null_class))),
% 1.53/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.92 thf(prove_number_of_elements_in_class_2, conjecture,
% 1.53/0.92 (( singleton @ ( not_subclass_element @ x @ null_class ) ) = ( x ))).
% 1.53/0.92 thf(zf_stmt_2, negated_conjecture,
% 1.53/0.92 (( singleton @ ( not_subclass_element @ x @ null_class ) ) != ( x )),
% 1.53/0.92 inference('cnf.neg', [status(esa)], [prove_number_of_elements_in_class_2])).
% 1.53/0.92 thf(zip_derived_cl76, plain,
% 1.53/0.92 (((singleton @ (not_subclass_element @ x @ null_class)) != (x))),
% 1.53/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.53/0.92 thf(zip_derived_cl1424, plain, ($false),
% 1.53/0.92 inference('simplify_reflect-', [status(thm)],
% 1.53/0.92 [zip_derived_cl1421, zip_derived_cl75, zip_derived_cl76])).
% 1.53/0.92
% 1.53/0.92 % SZS output end Refutation
% 1.53/0.92
% 1.53/0.92
% 1.53/0.92 % Terminating...
% 2.16/0.97 % Runner terminated.
% 2.16/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------