TSTP Solution File: SET067-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET067-7 : 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.v1FWmD8cMm true
% Computer : n028.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 16:12:23 EDT 2023
% Result : Unsatisfiable 4.99s 1.30s
% Output : Refutation 4.99s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET067-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v1FWmD8cMm true
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 09:16:37 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.17/0.59 % Total configuration time : 435
% 0.17/0.59 % Estimated wc time : 1092
% 0.17/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.99/1.30 % Solved by fo/fo6_bce.sh.
% 4.99/1.30 % BCE start: 109
% 4.99/1.30 % BCE eliminated: 0
% 4.99/1.30 % PE start: 109
% 4.99/1.30 logic: eq
% 4.99/1.30 % PE eliminated: 16
% 4.99/1.30 % done 400 iterations in 0.568s
% 4.99/1.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.99/1.30 % SZS output start Refutation
% 4.99/1.30 thf(universal_class_type, type, universal_class: $i).
% 4.99/1.30 thf(null_class_type, type, null_class: $i).
% 4.99/1.30 thf(member_type, type, member: $i > $i > $o).
% 4.99/1.30 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 4.99/1.30 thf(x_type, type, x: $i).
% 4.99/1.30 thf(y_type, type, y: $i).
% 4.99/1.30 thf(singleton_type, type, singleton: $i > $i).
% 4.99/1.30 thf(subclass_type, type, subclass: $i > $i > $o).
% 4.99/1.30 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 4.99/1.30 thf(regular_type, type, regular: $i > $i).
% 4.99/1.30 thf(unordered_pair2, axiom,
% 4.99/1.30 (( ~( member @ X @ universal_class ) ) |
% 4.99/1.30 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 4.99/1.30 thf(zip_derived_cl8, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 (~ (member @ X0 @ universal_class)
% 4.99/1.30 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 4.99/1.30 inference('cnf', [status(esa)], [unordered_pair2])).
% 4.99/1.30 thf(not_subclass_members1, axiom,
% 4.99/1.30 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 4.99/1.30 thf(zip_derived_cl1, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 4.99/1.30 | (subclass @ X0 @ X1))),
% 4.99/1.30 inference('cnf', [status(esa)], [not_subclass_members1])).
% 4.99/1.30 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 4.99/1.30 thf(zip_derived_cl11, plain,
% 4.99/1.30 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 4.99/1.30 inference('cnf', [status(esa)], [singleton_set])).
% 4.99/1.30 thf(unordered_pair_member, axiom,
% 4.99/1.30 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 4.99/1.30 ( ( U ) = ( Y ) ))).
% 4.99/1.30 thf(zip_derived_cl7, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.99/1.30 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 4.99/1.30 | ((X0) = (X1))
% 4.99/1.30 | ((X0) = (X2)))),
% 4.99/1.30 inference('cnf', [status(esa)], [unordered_pair_member])).
% 4.99/1.30 thf(zip_derived_cl509, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 4.99/1.30 thf(zip_derived_cl512, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 4.99/1.30 inference('simplify', [status(thm)], [zip_derived_cl509])).
% 4.99/1.30 thf(zip_derived_cl524, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 ( (subclass @ (singleton @ X0) @ X1)
% 4.99/1.30 | ((not_subclass_element @ (singleton @ X0) @ X1) = (X0)))),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl512])).
% 4.99/1.30 thf(not_subclass_members2, axiom,
% 4.99/1.30 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 4.99/1.30 ( subclass @ X @ Y ))).
% 4.99/1.30 thf(zip_derived_cl2, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 4.99/1.30 | (subclass @ X0 @ X1))),
% 4.99/1.30 inference('cnf', [status(esa)], [not_subclass_members2])).
% 4.99/1.30 thf(zip_derived_cl1886, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 ( (subclass @ (singleton @ X0) @ X1)
% 4.99/1.30 | ~ (member @ X0 @ X1)
% 4.99/1.30 | (subclass @ (singleton @ X0) @ X1))),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl2])).
% 4.99/1.30 thf(zip_derived_cl1903, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 (~ (member @ X0 @ X1) | (subclass @ (singleton @ X0) @ X1))),
% 4.99/1.30 inference('simplify', [status(thm)], [zip_derived_cl1886])).
% 4.99/1.30 thf(prove_singleton_in_unordered_pair1_1, conjecture,
% 4.99/1.30 (subclass @ ( singleton @ x ) @ ( unordered_pair @ x @ y ))).
% 4.99/1.30 thf(zf_stmt_0, negated_conjecture,
% 4.99/1.30 (~( subclass @ ( singleton @ x ) @ ( unordered_pair @ x @ y ) )),
% 4.99/1.30 inference('cnf.neg', [status(esa)], [prove_singleton_in_unordered_pair1_1])).
% 4.99/1.30 thf(zip_derived_cl108, plain,
% 4.99/1.30 (~ (subclass @ (singleton @ x) @ (unordered_pair @ x @ y))),
% 4.99/1.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.99/1.30 thf(zip_derived_cl1915, plain, (~ (member @ x @ (unordered_pair @ x @ y))),
% 4.99/1.30 inference('s_sup-', [status(thm)],
% 4.99/1.30 [zip_derived_cl1903, zip_derived_cl108])).
% 4.99/1.30 thf(zip_derived_cl1963, plain, (~ (member @ x @ universal_class)),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl1915])).
% 4.99/1.30 thf(regularity1, axiom,
% 4.99/1.30 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 4.99/1.30 thf(zip_derived_cl65, plain,
% 4.99/1.30 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 4.99/1.30 inference('cnf', [status(esa)], [regularity1])).
% 4.99/1.30 thf(zip_derived_cl512, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 4.99/1.30 inference('simplify', [status(thm)], [zip_derived_cl509])).
% 4.99/1.30 thf(zip_derived_cl788, plain,
% 4.99/1.30 (![X0 : $i]:
% 4.99/1.30 (((singleton @ X0) = (null_class))
% 4.99/1.30 | ((regular @ (singleton @ X0)) = (X0)))),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl512])).
% 4.99/1.30 thf(zip_derived_cl65, plain,
% 4.99/1.30 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 4.99/1.30 inference('cnf', [status(esa)], [regularity1])).
% 4.99/1.30 thf(zip_derived_cl808, plain,
% 4.99/1.30 (![X0 : $i]:
% 4.99/1.30 (((singleton @ X0) = (null_class))
% 4.99/1.30 | ((singleton @ X0) = (null_class))
% 4.99/1.30 | (member @ X0 @ (singleton @ X0)))),
% 4.99/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl65])).
% 4.99/1.30 thf(zip_derived_cl810, plain,
% 4.99/1.30 (![X0 : $i]:
% 4.99/1.30 ( (member @ X0 @ (singleton @ X0)) | ((singleton @ X0) = (null_class)))),
% 4.99/1.30 inference('simplify', [status(thm)], [zip_derived_cl808])).
% 4.99/1.30 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 4.99/1.30 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 4.99/1.30 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 4.99/1.30 thf(subclass_members, axiom,
% 4.99/1.30 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 4.99/1.30 thf(zip_derived_cl0, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.99/1.30 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 4.99/1.30 inference('cnf', [status(esa)], [subclass_members])).
% 4.99/1.30 thf(zip_derived_cl493, plain,
% 4.99/1.30 (![X0 : $i, X1 : $i]:
% 4.99/1.30 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 4.99/1.30 thf(zip_derived_cl811, plain,
% 4.99/1.30 (![X0 : $i]:
% 4.99/1.30 (((singleton @ X0) = (null_class)) | (member @ X0 @ universal_class))),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl810, zip_derived_cl493])).
% 4.99/1.30 thf(zip_derived_cl108, plain,
% 4.99/1.30 (~ (subclass @ (singleton @ x) @ (unordered_pair @ x @ y))),
% 4.99/1.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.99/1.30 thf(zip_derived_cl855, plain,
% 4.99/1.30 (( (member @ x @ universal_class)
% 4.99/1.30 | ~ (subclass @ null_class @ (unordered_pair @ x @ y)))),
% 4.99/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl811, zip_derived_cl108])).
% 4.99/1.30 thf(null_class_is_subclass, axiom, (subclass @ null_class @ X)).
% 4.99/1.30 thf(zip_derived_cl103, plain, (![X0 : $i]: (subclass @ null_class @ X0)),
% 4.99/1.30 inference('cnf', [status(esa)], [null_class_is_subclass])).
% 4.99/1.30 thf(zip_derived_cl863, plain, ( (member @ x @ universal_class)),
% 4.99/1.30 inference('demod', [status(thm)], [zip_derived_cl855, zip_derived_cl103])).
% 4.99/1.30 thf(zip_derived_cl1964, plain, ($false),
% 4.99/1.30 inference('demod', [status(thm)], [zip_derived_cl1963, zip_derived_cl863])).
% 4.99/1.30
% 4.99/1.30 % SZS output end Refutation
% 4.99/1.30
% 4.99/1.30
% 4.99/1.30 % Terminating...
% 5.53/1.42 % Runner terminated.
% 5.53/1.43 % Zipperpin 1.5 exiting
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