TSTP Solution File: SET151-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET151-6 : 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.WKtQyNtkVz 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 16:13:03 EDT 2023
% Result : Unsatisfiable 1.52s 1.34s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET151-6 : TPTP v8.1.2. 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.WKtQyNtkVz true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:20:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.50/0.97 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.52/1.34 % Solved by fo/fo6_bce.sh.
% 1.52/1.34 % BCE start: 113
% 1.52/1.34 % BCE eliminated: 1
% 1.52/1.34 % PE start: 112
% 1.52/1.34 logic: eq
% 1.52/1.34 % PE eliminated: 19
% 1.52/1.34 % done 387 iterations in 0.564s
% 1.52/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.52/1.34 % SZS output start Refutation
% 1.52/1.34 thf(universal_class_type, type, universal_class: $i).
% 1.52/1.34 thf(null_class_type, type, null_class: $i).
% 1.52/1.34 thf(member_type, type, member: $i > $i > $o).
% 1.52/1.34 thf(complement_type, type, complement: $i > $i).
% 1.52/1.34 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.52/1.34 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.52/1.34 thf(regular_type, type, regular: $i > $i).
% 1.52/1.34 thf(complement2, axiom,
% 1.52/1.34 (( ~( member @ Z @ universal_class ) ) |
% 1.52/1.34 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 1.52/1.34 thf(zip_derived_cl24, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (member @ X0 @ universal_class)
% 1.52/1.34 | (member @ X0 @ (complement @ X1))
% 1.52/1.34 | (member @ X0 @ X1))),
% 1.52/1.34 inference('cnf', [status(esa)], [complement2])).
% 1.52/1.34 thf(not_subclass_members2, axiom,
% 1.52/1.34 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.52/1.34 ( subclass @ X @ Y ))).
% 1.52/1.34 thf(zip_derived_cl2, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.52/1.34 | (subclass @ X0 @ X1))),
% 1.52/1.34 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.52/1.34 thf(zip_derived_cl599, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 ( (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0)
% 1.52/1.34 | ~ (member @ (not_subclass_element @ X1 @ (complement @ X0)) @
% 1.52/1.34 universal_class)
% 1.52/1.34 | (subclass @ X1 @ (complement @ X0)))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 1.52/1.34 thf(not_subclass_members1, axiom,
% 1.52/1.34 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.52/1.34 thf(zip_derived_cl1, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.52/1.34 | (subclass @ X0 @ X1))),
% 1.52/1.34 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.52/1.34 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.52/1.34 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.52/1.34 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.52/1.34 thf(subclass_members, axiom,
% 1.52/1.34 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.52/1.34 thf(zip_derived_cl0, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.52/1.34 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.52/1.34 inference('cnf', [status(esa)], [subclass_members])).
% 1.52/1.34 thf(zip_derived_cl492, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.52/1.34 thf(zip_derived_cl525, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 ( (subclass @ X0 @ X1)
% 1.52/1.34 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl492])).
% 1.52/1.34 thf(zip_derived_cl2039, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 ( (subclass @ X1 @ (complement @ X0))
% 1.52/1.34 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 1.52/1.34 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl525])).
% 1.52/1.34 thf(regularity1, axiom,
% 1.52/1.34 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.52/1.34 thf(zip_derived_cl65, plain,
% 1.52/1.34 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.52/1.34 inference('cnf', [status(esa)], [regularity1])).
% 1.52/1.34 thf(zip_derived_cl492, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.52/1.34 thf(zip_derived_cl581, plain,
% 1.52/1.34 (![X0 : $i]:
% 1.52/1.34 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl492])).
% 1.52/1.34 thf(zip_derived_cl65, plain,
% 1.52/1.34 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.52/1.34 inference('cnf', [status(esa)], [regularity1])).
% 1.52/1.34 thf(complement1, axiom,
% 1.52/1.34 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.52/1.34 thf(zip_derived_cl23, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.52/1.34 inference('cnf', [status(esa)], [complement1])).
% 1.52/1.34 thf(zip_derived_cl587, plain,
% 1.52/1.34 (![X0 : $i]:
% 1.52/1.34 (((complement @ X0) = (null_class))
% 1.52/1.34 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 1.52/1.34 thf(zip_derived_cl595, plain,
% 1.52/1.34 ((((complement @ universal_class) = (null_class))
% 1.52/1.34 | ((complement @ universal_class) = (null_class)))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl581, zip_derived_cl587])).
% 1.52/1.34 thf(zip_derived_cl596, plain,
% 1.52/1.34 (((complement @ universal_class) = (null_class))),
% 1.52/1.34 inference('simplify', [status(thm)], [zip_derived_cl595])).
% 1.52/1.34 thf(zip_derived_cl23, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.52/1.34 inference('cnf', [status(esa)], [complement1])).
% 1.52/1.34 thf(zip_derived_cl604, plain,
% 1.52/1.34 (![X0 : $i]:
% 1.52/1.34 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl596, zip_derived_cl23])).
% 1.52/1.34 thf(zip_derived_cl492, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.52/1.34 thf(zip_derived_cl625, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.52/1.34 inference('clc', [status(thm)], [zip_derived_cl604, zip_derived_cl492])).
% 1.52/1.34 thf(zip_derived_cl2054, plain,
% 1.52/1.34 (![X0 : $i]: (subclass @ X0 @ (complement @ null_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)],
% 1.52/1.34 [zip_derived_cl2039, zip_derived_cl625])).
% 1.52/1.34 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.52/1.34 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.52/1.34 thf(subclass_implies_equal, axiom,
% 1.52/1.34 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.52/1.34 thf(zip_derived_cl6, plain,
% 1.52/1.34 (![X0 : $i, X1 : $i]:
% 1.52/1.34 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 1.52/1.34 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 1.52/1.34 thf(zip_derived_cl502, plain,
% 1.52/1.34 (![X0 : $i]:
% 1.52/1.34 (~ (subclass @ universal_class @ X0) | ((X0) = (universal_class)))),
% 1.52/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.52/1.34 thf(zip_derived_cl2087, plain,
% 1.52/1.34 (((complement @ null_class) = (universal_class))),
% 1.52/1.34 inference('s_sup-', [status(thm)],
% 1.52/1.34 [zip_derived_cl2054, zip_derived_cl502])).
% 1.52/1.34 thf(prove_complement_of_null_class_1, conjecture,
% 1.52/1.34 (( complement @ null_class ) = ( universal_class ))).
% 1.52/1.34 thf(zf_stmt_0, negated_conjecture,
% 1.52/1.34 (( complement @ null_class ) != ( universal_class )),
% 1.52/1.34 inference('cnf.neg', [status(esa)], [prove_complement_of_null_class_1])).
% 1.52/1.34 thf(zip_derived_cl112, plain,
% 1.52/1.34 (((complement @ null_class) != (universal_class))),
% 1.52/1.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.52/1.34 thf(zip_derived_cl2088, plain, ($false),
% 1.52/1.34 inference('simplify_reflect-', [status(thm)],
% 1.52/1.34 [zip_derived_cl2087, zip_derived_cl112])).
% 1.52/1.34
% 1.52/1.34 % SZS output end Refutation
% 1.52/1.34
% 1.52/1.34
% 1.52/1.34 % Terminating...
% 1.52/1.52 % Runner terminated.
% 1.52/1.53 % Zipperpin 1.5 exiting
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