TSTP Solution File: SET067-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET067-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aXRbrTc5O2 true
% Computer : n020.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 16:12:22 EDT 2023
% Result : Unsatisfiable 1.43s 0.90s
% Output : Refutation 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET067-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aXRbrTc5O2 true
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat Aug 26 11:58:00 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.00/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.00/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.00/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.00/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.00/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.39/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.43/0.90 % Solved by fo/fo6_bce.sh.
% 1.43/0.90 % BCE start: 92
% 1.43/0.90 % BCE eliminated: 0
% 1.43/0.90 % PE start: 92
% 1.43/0.90 logic: eq
% 1.43/0.90 % PE eliminated: 16
% 1.43/0.90 % done 198 iterations in 0.172s
% 1.43/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.43/0.90 % SZS output start Refutation
% 1.43/0.90 thf(universal_class_type, type, universal_class: $i).
% 1.43/0.90 thf(null_class_type, type, null_class: $i).
% 1.43/0.90 thf(member_type, type, member: $i > $i > $o).
% 1.43/0.90 thf(x_type, type, x: $i).
% 1.43/0.90 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.43/0.90 thf(complement_type, type, complement: $i > $i).
% 1.43/0.90 thf(y_type, type, y: $i).
% 1.43/0.90 thf(singleton_type, type, singleton: $i > $i).
% 1.43/0.90 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.43/0.90 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.43/0.90 thf(regular_type, type, regular: $i > $i).
% 1.43/0.90 thf(unordered_pair2, axiom,
% 1.43/0.90 (( ~( member @ X @ universal_class ) ) |
% 1.43/0.90 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.43/0.90 thf(zip_derived_cl8, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X0 @ universal_class)
% 1.43/0.90 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.43/0.90 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.43/0.90 thf(not_subclass_members1, axiom,
% 1.43/0.90 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.43/0.90 thf(zip_derived_cl1, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.43/0.90 | (subclass @ X0 @ X1))),
% 1.43/0.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.43/0.90 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.43/0.90 thf(zip_derived_cl11, plain,
% 1.43/0.90 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.43/0.90 inference('cnf', [status(esa)], [singleton_set])).
% 1.43/0.90 thf(unordered_pair_member, axiom,
% 1.43/0.90 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.43/0.90 ( ( U ) = ( Y ) ))).
% 1.43/0.90 thf(zip_derived_cl7, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.90 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.43/0.90 | ((X0) = (X1))
% 1.43/0.90 | ((X0) = (X2)))),
% 1.43/0.90 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.43/0.90 thf(zip_derived_cl429, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 1.43/0.90 thf(zip_derived_cl430, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.43/0.90 inference('simplify', [status(thm)], [zip_derived_cl429])).
% 1.43/0.90 thf(zip_derived_cl434, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 ( (subclass @ (singleton @ X0) @ X1)
% 1.43/0.90 | ((not_subclass_element @ (singleton @ X0) @ X1) = (X0)))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl430])).
% 1.43/0.90 thf(not_subclass_members2, axiom,
% 1.43/0.90 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.43/0.90 ( subclass @ X @ Y ))).
% 1.43/0.90 thf(zip_derived_cl2, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.43/0.90 | (subclass @ X0 @ X1))),
% 1.43/0.90 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.43/0.90 thf(zip_derived_cl1104, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 ( (subclass @ (singleton @ X0) @ X1)
% 1.43/0.90 | ~ (member @ X0 @ X1)
% 1.43/0.90 | (subclass @ (singleton @ X0) @ X1))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl434, zip_derived_cl2])).
% 1.43/0.90 thf(zip_derived_cl1111, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X0 @ X1) | (subclass @ (singleton @ X0) @ X1))),
% 1.43/0.90 inference('simplify', [status(thm)], [zip_derived_cl1104])).
% 1.43/0.90 thf(prove_singleton_in_unordered_pair1_1, conjecture,
% 1.43/0.90 (subclass @ ( singleton @ x ) @ ( unordered_pair @ x @ y ))).
% 1.43/0.90 thf(zf_stmt_0, negated_conjecture,
% 1.43/0.90 (~( subclass @ ( singleton @ x ) @ ( unordered_pair @ x @ y ) )),
% 1.43/0.90 inference('cnf.neg', [status(esa)], [prove_singleton_in_unordered_pair1_1])).
% 1.43/0.90 thf(zip_derived_cl91, plain,
% 1.43/0.90 (~ (subclass @ (singleton @ x) @ (unordered_pair @ x @ y))),
% 1.43/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.43/0.90 thf(zip_derived_cl1118, plain, (~ (member @ x @ (unordered_pair @ x @ y))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl1111, zip_derived_cl91])).
% 1.43/0.90 thf(zip_derived_cl1125, plain, (~ (member @ x @ universal_class)),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl1118])).
% 1.43/0.90 thf(regularity1, axiom,
% 1.43/0.90 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.43/0.90 thf(zip_derived_cl65, plain,
% 1.43/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.43/0.90 inference('cnf', [status(esa)], [regularity1])).
% 1.43/0.90 thf(zip_derived_cl430, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.43/0.90 inference('simplify', [status(thm)], [zip_derived_cl429])).
% 1.43/0.90 thf(zip_derived_cl676, plain,
% 1.43/0.90 (![X0 : $i]:
% 1.43/0.90 (((singleton @ X0) = (null_class))
% 1.43/0.90 | ((regular @ (singleton @ X0)) = (X0)))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl430])).
% 1.43/0.90 thf(zip_derived_cl65, plain,
% 1.43/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.43/0.90 inference('cnf', [status(esa)], [regularity1])).
% 1.43/0.90 thf(zip_derived_cl696, plain,
% 1.43/0.90 (![X0 : $i]:
% 1.43/0.90 (((singleton @ X0) = (null_class))
% 1.43/0.90 | ((singleton @ X0) = (null_class))
% 1.43/0.90 | (member @ X0 @ (singleton @ X0)))),
% 1.43/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl676, zip_derived_cl65])).
% 1.43/0.90 thf(zip_derived_cl698, plain,
% 1.43/0.90 (![X0 : $i]:
% 1.43/0.90 ( (member @ X0 @ (singleton @ X0)) | ((singleton @ X0) = (null_class)))),
% 1.43/0.90 inference('simplify', [status(thm)], [zip_derived_cl696])).
% 1.43/0.90 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.43/0.90 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.43/0.90 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.43/0.90 thf(subclass_members, axiom,
% 1.43/0.90 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.43/0.90 thf(zip_derived_cl0, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.90 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.43/0.90 inference('cnf', [status(esa)], [subclass_members])).
% 1.43/0.90 thf(zip_derived_cl418, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.43/0.90 thf(zip_derived_cl699, plain,
% 1.43/0.90 (![X0 : $i]:
% 1.43/0.90 (((singleton @ X0) = (null_class)) | (member @ X0 @ universal_class))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl698, zip_derived_cl418])).
% 1.43/0.90 thf(zip_derived_cl91, plain,
% 1.43/0.90 (~ (subclass @ (singleton @ x) @ (unordered_pair @ x @ y))),
% 1.43/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.43/0.90 thf(zip_derived_cl762, plain,
% 1.43/0.90 (( (member @ x @ universal_class)
% 1.43/0.90 | ~ (subclass @ null_class @ (unordered_pair @ x @ y)))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl699, zip_derived_cl91])).
% 1.43/0.90 thf(zip_derived_cl1, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.43/0.90 | (subclass @ X0 @ X1))),
% 1.43/0.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.43/0.90 thf(zip_derived_cl65, plain,
% 1.43/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.43/0.90 inference('cnf', [status(esa)], [regularity1])).
% 1.43/0.90 thf(zip_derived_cl418, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.43/0.90 thf(zip_derived_cl674, plain,
% 1.43/0.90 (![X0 : $i]:
% 1.43/0.90 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl418])).
% 1.43/0.90 thf(zip_derived_cl65, plain,
% 1.43/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.43/0.90 inference('cnf', [status(esa)], [regularity1])).
% 1.43/0.90 thf(complement1, axiom,
% 1.43/0.90 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.43/0.90 thf(zip_derived_cl23, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.43/0.90 inference('cnf', [status(esa)], [complement1])).
% 1.43/0.90 thf(zip_derived_cl686, plain,
% 1.43/0.90 (![X0 : $i]:
% 1.43/0.90 (((complement @ X0) = (null_class))
% 1.43/0.90 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 1.43/0.90 thf(zip_derived_cl991, plain,
% 1.43/0.90 ((((complement @ universal_class) = (null_class))
% 1.43/0.90 | ((complement @ universal_class) = (null_class)))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl674, zip_derived_cl686])).
% 1.43/0.90 thf(zip_derived_cl994, plain,
% 1.43/0.90 (((complement @ universal_class) = (null_class))),
% 1.43/0.90 inference('simplify', [status(thm)], [zip_derived_cl991])).
% 1.43/0.90 thf(zip_derived_cl23, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.43/0.90 inference('cnf', [status(esa)], [complement1])).
% 1.43/0.90 thf(zip_derived_cl998, plain,
% 1.43/0.90 (![X0 : $i]:
% 1.43/0.90 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl994, zip_derived_cl23])).
% 1.43/0.90 thf(zip_derived_cl418, plain,
% 1.43/0.90 (![X0 : $i, X1 : $i]:
% 1.43/0.90 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.43/0.90 thf(zip_derived_cl1006, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.43/0.90 inference('clc', [status(thm)], [zip_derived_cl998, zip_derived_cl418])).
% 1.43/0.90 thf(zip_derived_cl1007, plain, (![X0 : $i]: (subclass @ null_class @ X0)),
% 1.43/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1006])).
% 1.43/0.90 thf(zip_derived_cl1018, plain, ( (member @ x @ universal_class)),
% 1.43/0.90 inference('demod', [status(thm)], [zip_derived_cl762, zip_derived_cl1007])).
% 1.43/0.90 thf(zip_derived_cl1126, plain, ($false),
% 1.43/0.90 inference('demod', [status(thm)],
% 1.43/0.90 [zip_derived_cl1125, zip_derived_cl1018])).
% 1.43/0.90
% 1.43/0.90 % SZS output end Refutation
% 1.43/0.90
% 1.43/0.90
% 1.43/0.90 % Terminating...
% 1.73/0.95 % Runner terminated.
% 1.73/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------