TSTP Solution File: SET156-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET156-6 : 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.0FUJnsapxy true
% Computer : n021.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 16:13:05 EDT 2023
% Result : Unsatisfiable 99.08s 14.87s
% Output : Refutation 99.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SET156-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0FUJnsapxy true
% 0.15/0.37 % Computer : n021.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 16:36:57 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
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 99.08/14.87 % Solved by fo/fo6_bce.sh.
% 99.08/14.87 % BCE start: 113
% 99.08/14.87 % BCE eliminated: 1
% 99.08/14.87 % PE start: 112
% 99.08/14.87 logic: eq
% 99.08/14.87 % PE eliminated: 19
% 99.08/14.87 % done 4609 iterations in 14.066s
% 99.08/14.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 99.08/14.87 % SZS output start Refutation
% 99.08/14.87 thf(universal_class_type, type, universal_class: $i).
% 99.08/14.87 thf(union_type, type, union: $i > $i > $i).
% 99.08/14.87 thf(member_type, type, member: $i > $i > $o).
% 99.08/14.87 thf(x_type, type, x: $i).
% 99.08/14.87 thf(complement_type, type, complement: $i > $i).
% 99.08/14.87 thf(intersection_type, type, intersection: $i > $i > $i).
% 99.08/14.87 thf(subclass_type, type, subclass: $i > $i > $o).
% 99.08/14.87 thf(y_type, type, y: $i).
% 99.08/14.87 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 99.08/14.87 thf(prove_demorgans_law2_1, conjecture,
% 99.08/14.87 (( complement @ ( intersection @ x @ y ) ) =
% 99.08/14.87 ( union @ ( complement @ x ) @ ( complement @ y ) ))).
% 99.08/14.87 thf(zf_stmt_0, negated_conjecture,
% 99.08/14.87 (( complement @ ( intersection @ x @ y ) ) !=
% 99.08/14.87 ( union @ ( complement @ x ) @ ( complement @ y ) )),
% 99.08/14.87 inference('cnf.neg', [status(esa)], [prove_demorgans_law2_1])).
% 99.08/14.87 thf(zip_derived_cl112, plain,
% 99.08/14.87 (((complement @ (intersection @ x @ y))
% 99.08/14.87 != (union @ (complement @ x) @ (complement @ y)))),
% 99.08/14.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 99.08/14.87 thf(complement2, axiom,
% 99.08/14.87 (( ~( member @ Z @ universal_class ) ) |
% 99.08/14.87 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 99.08/14.87 thf(zip_derived_cl24, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (member @ X0 @ universal_class)
% 99.08/14.87 | (member @ X0 @ (complement @ X1))
% 99.08/14.87 | (member @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [complement2])).
% 99.08/14.87 thf(not_subclass_members1, axiom,
% 99.08/14.87 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 99.08/14.87 thf(zip_derived_cl1, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 99.08/14.87 | (subclass @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [not_subclass_members1])).
% 99.08/14.87 thf(complement1, axiom,
% 99.08/14.87 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 99.08/14.87 thf(zip_derived_cl23, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [complement1])).
% 99.08/14.87 thf(zip_derived_cl494, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (subclass @ (complement @ X0) @ X1)
% 99.08/14.87 | ~ (member @ (not_subclass_element @ (complement @ X0) @ X1) @ X0))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl23])).
% 99.08/14.87 thf(zip_derived_cl1566, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (member @
% 99.08/14.87 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @ X0)
% 99.08/14.87 | ~ (member @
% 99.08/14.87 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 99.08/14.87 universal_class)
% 99.08/14.87 | (subclass @ (complement @ (complement @ X0)) @ X1))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl494])).
% 99.08/14.87 thf(zip_derived_cl1, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 99.08/14.87 | (subclass @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [not_subclass_members1])).
% 99.08/14.87 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 99.08/14.87 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 99.08/14.87 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 99.08/14.87 thf(subclass_members, axiom,
% 99.08/14.87 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 99.08/14.87 thf(zip_derived_cl0, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 99.08/14.87 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [subclass_members])).
% 99.08/14.87 thf(zip_derived_cl493, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 99.08/14.87 thf(zip_derived_cl533, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (subclass @ X0 @ X1)
% 99.08/14.87 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl493])).
% 99.08/14.87 thf(zip_derived_cl19833, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (subclass @ (complement @ (complement @ X0)) @ X1)
% 99.08/14.87 | (member @
% 99.08/14.87 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 99.08/14.87 X0))),
% 99.08/14.87 inference('clc', [status(thm)], [zip_derived_cl1566, zip_derived_cl533])).
% 99.08/14.87 thf(not_subclass_members2, axiom,
% 99.08/14.87 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 99.08/14.87 ( subclass @ X @ Y ))).
% 99.08/14.87 thf(zip_derived_cl2, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 99.08/14.87 | (subclass @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [not_subclass_members2])).
% 99.08/14.87 thf(zip_derived_cl19921, plain,
% 99.08/14.87 (![X0 : $i]:
% 99.08/14.87 ( (subclass @ (complement @ (complement @ X0)) @ X0)
% 99.08/14.87 | (subclass @ (complement @ (complement @ X0)) @ X0))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl19833, zip_derived_cl2])).
% 99.08/14.87 thf(zip_derived_cl19972, plain,
% 99.08/14.87 (![X0 : $i]: (subclass @ (complement @ (complement @ X0)) @ X0)),
% 99.08/14.87 inference('simplify', [status(thm)], [zip_derived_cl19921])).
% 99.08/14.87 thf(subclass_implies_equal, axiom,
% 99.08/14.87 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 99.08/14.87 thf(zip_derived_cl6, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 99.08/14.87 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 99.08/14.87 thf(zip_derived_cl19977, plain,
% 99.08/14.87 (![X0 : $i]:
% 99.08/14.87 (~ (subclass @ X0 @ (complement @ (complement @ X0)))
% 99.08/14.87 | ((complement @ (complement @ X0)) = (X0)))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl19972, zip_derived_cl6])).
% 99.08/14.87 thf(zip_derived_cl1, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 99.08/14.87 | (subclass @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [not_subclass_members1])).
% 99.08/14.87 thf(zip_derived_cl24, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (member @ X0 @ universal_class)
% 99.08/14.87 | (member @ X0 @ (complement @ X1))
% 99.08/14.87 | (member @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [complement2])).
% 99.08/14.87 thf(zip_derived_cl2, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 99.08/14.87 | (subclass @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [not_subclass_members2])).
% 99.08/14.87 thf(zip_derived_cl632, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0)
% 99.08/14.87 | ~ (member @ (not_subclass_element @ X1 @ (complement @ X0)) @
% 99.08/14.87 universal_class)
% 99.08/14.87 | (subclass @ X1 @ (complement @ X0)))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 99.08/14.87 thf(zip_derived_cl533, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (subclass @ X0 @ X1)
% 99.08/14.87 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl493])).
% 99.08/14.87 thf(zip_derived_cl3062, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (subclass @ X1 @ (complement @ X0))
% 99.08/14.87 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 99.08/14.87 inference('clc', [status(thm)], [zip_derived_cl632, zip_derived_cl533])).
% 99.08/14.87 thf(zip_derived_cl23, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [complement1])).
% 99.08/14.87 thf(zip_derived_cl3075, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ( (subclass @ X1 @ (complement @ (complement @ X0)))
% 99.08/14.87 | ~ (member @
% 99.08/14.87 (not_subclass_element @ X1 @ (complement @ (complement @ X0))) @
% 99.08/14.87 X0))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl3062, zip_derived_cl23])).
% 99.08/14.87 thf(zip_derived_cl80515, plain,
% 99.08/14.87 (![X0 : $i]:
% 99.08/14.87 ( (subclass @ X0 @ (complement @ (complement @ X0)))
% 99.08/14.87 | (subclass @ X0 @ (complement @ (complement @ X0))))),
% 99.08/14.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3075])).
% 99.08/14.87 thf(zip_derived_cl80623, plain,
% 99.08/14.87 (![X0 : $i]: (subclass @ X0 @ (complement @ (complement @ X0)))),
% 99.08/14.87 inference('simplify', [status(thm)], [zip_derived_cl80515])).
% 99.08/14.87 thf(zip_derived_cl80697, plain,
% 99.08/14.87 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 99.08/14.87 inference('demod', [status(thm)],
% 99.08/14.87 [zip_derived_cl19977, zip_derived_cl80623])).
% 99.08/14.87 thf(union, axiom,
% 99.08/14.87 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 99.08/14.87 ( union @ X @ Y ))).
% 99.08/14.87 thf(zip_derived_cl25, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 99.08/14.87 = (union @ X0 @ X1))),
% 99.08/14.87 inference('cnf', [status(esa)], [union])).
% 99.08/14.87 thf(zip_derived_cl80873, plain,
% 99.08/14.87 (![X0 : $i, X1 : $i]:
% 99.08/14.87 ((complement @ (intersection @ (complement @ X1) @ X0))
% 99.08/14.87 = (union @ X1 @ (complement @ X0)))),
% 99.08/14.87 inference('s_sup+', [status(thm)],
% 99.08/14.87 [zip_derived_cl80697, zip_derived_cl25])).
% 99.08/14.87 thf(zip_derived_cl80697, plain,
% 99.08/14.87 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 99.08/14.87 inference('demod', [status(thm)],
% 99.08/14.87 [zip_derived_cl19977, zip_derived_cl80623])).
% 99.08/14.87 thf(zip_derived_cl81745, plain,
% 99.08/14.87 (((complement @ (intersection @ x @ y))
% 99.08/14.87 != (complement @ (intersection @ x @ y)))),
% 99.08/14.87 inference('demod', [status(thm)],
% 99.08/14.87 [zip_derived_cl112, zip_derived_cl80873, zip_derived_cl80697])).
% 99.08/14.87 thf(zip_derived_cl81746, plain, ($false),
% 99.08/14.87 inference('simplify', [status(thm)], [zip_derived_cl81745])).
% 99.08/14.87
% 99.08/14.87 % SZS output end Refutation
% 99.08/14.87
% 99.08/14.87
% 99.08/14.87 % Terminating...
% 99.47/14.98 % Runner terminated.
% 99.47/14.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------