TSTP Solution File: SET506-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET506-6 : 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.h0NvocEONj 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 16:14:27 EDT 2023
% Result : Unsatisfiable 0.14s 0.68s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h0NvocEONj true
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 11:44:57 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.14/0.51 % Total configuration time : 435
% 0.14/0.51 % Estimated wc time : 1092
% 0.14/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.68 % Solved by fo/fo6_bce.sh.
% 0.14/0.68 % BCE start: 113
% 0.14/0.68 % BCE eliminated: 1
% 0.14/0.68 % PE start: 112
% 0.14/0.68 logic: eq
% 0.14/0.68 % PE eliminated: 19
% 0.14/0.68 % done 99 iterations in 0.057s
% 0.14/0.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.14/0.68 % SZS output start Refutation
% 0.14/0.68 thf(universal_class_type, type, universal_class: $i).
% 0.14/0.68 thf(null_class_type, type, null_class: $i).
% 0.14/0.68 thf(domain_of_type, type, domain_of: $i > $i).
% 0.14/0.68 thf(member_type, type, member: $i > $i > $o).
% 0.14/0.68 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.14/0.68 thf(singleton_type, type, singleton: $i > $i).
% 0.14/0.68 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.14/0.68 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.14/0.68 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 0.14/0.68 thf(inductive_type, type, inductive: $i > $o).
% 0.14/0.68 thf(omega_type, type, omega: $i).
% 0.14/0.68 thf(regular_type, type, regular: $i > $i).
% 0.14/0.68 thf(omega_is_inductive1, axiom, (inductive @ omega)).
% 0.14/0.68 thf(zip_derived_cl49, plain, ( (inductive @ omega)),
% 0.14/0.68 inference('cnf', [status(esa)], [omega_is_inductive1])).
% 0.14/0.68 thf(inductive1, axiom,
% 0.14/0.68 (( ~( inductive @ X ) ) | ( member @ null_class @ X ))).
% 0.14/0.68 thf(zip_derived_cl46, plain,
% 0.14/0.68 (![X0 : $i]: (~ (inductive @ X0) | (member @ null_class @ X0))),
% 0.14/0.68 inference('cnf', [status(esa)], [inductive1])).
% 0.14/0.68 thf(zip_derived_cl471, plain, ( (member @ null_class @ omega)),
% 0.14/0.68 inference('dp-resolution', [status(thm)],
% 0.14/0.68 [zip_derived_cl49, zip_derived_cl46])).
% 0.14/0.68 thf(prove_universal_class_not_null_class_1, conjecture,
% 0.14/0.68 (( universal_class ) != ( null_class ))).
% 0.14/0.68 thf(zf_stmt_0, negated_conjecture, (( universal_class ) = ( null_class )),
% 0.14/0.68 inference('cnf.neg', [status(esa)],
% 0.14/0.68 [prove_universal_class_not_null_class_1])).
% 0.14/0.68 thf(zip_derived_cl112, plain, (((universal_class) = (null_class))),
% 0.14/0.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.68 thf(zip_derived_cl493, plain, ( (member @ universal_class @ omega)),
% 0.14/0.68 inference('demod', [status(thm)], [zip_derived_cl471, zip_derived_cl112])).
% 0.14/0.68 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.14/0.68 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.14/0.68 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.14/0.68 thf(subclass_members, axiom,
% 0.14/0.68 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.14/0.68 thf(zip_derived_cl0, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.68 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.14/0.68 inference('cnf', [status(esa)], [subclass_members])).
% 0.14/0.68 thf(zip_derived_cl492, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.14/0.68 thf(zip_derived_cl498, plain,
% 0.14/0.68 ( (member @ universal_class @ universal_class)),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl493, zip_derived_cl492])).
% 0.14/0.68 thf(domain1, axiom,
% 0.14/0.68 (( ( restrict @ X @ ( singleton @ Z ) @ universal_class ) != ( null_class ) ) |
% 0.14/0.68 ( ~( member @ Z @ ( domain_of @ X ) ) ))).
% 0.14/0.68 thf(zip_derived_cl29, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (((restrict @ X0 @ (singleton @ X1) @ universal_class) != (null_class))
% 0.14/0.68 | ~ (member @ X1 @ (domain_of @ X0)))),
% 0.14/0.68 inference('cnf', [status(esa)], [domain1])).
% 0.14/0.68 thf(zip_derived_cl112, plain, (((universal_class) = (null_class))),
% 0.14/0.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.68 thf(zip_derived_cl544, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (((restrict @ X0 @ (singleton @ X1) @ universal_class)
% 0.14/0.68 != (universal_class))
% 0.14/0.68 | ~ (member @ X1 @ (domain_of @ X0)))),
% 0.14/0.68 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl112])).
% 0.14/0.68 thf(zip_derived_cl498, plain,
% 0.14/0.68 ( (member @ universal_class @ universal_class)),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl493, zip_derived_cl492])).
% 0.14/0.68 thf(zip_derived_cl498, plain,
% 0.14/0.68 ( (member @ universal_class @ universal_class)),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl493, zip_derived_cl492])).
% 0.14/0.68 thf(regularity2, axiom,
% 0.14/0.68 (( ( X ) = ( null_class ) ) |
% 0.14/0.68 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 0.14/0.68 thf(zip_derived_cl66, plain,
% 0.14/0.68 (![X0 : $i]:
% 0.14/0.68 (((X0) = (null_class))
% 0.14/0.68 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 0.14/0.68 inference('cnf', [status(esa)], [regularity2])).
% 0.14/0.68 thf(zip_derived_cl112, plain, (((universal_class) = (null_class))),
% 0.14/0.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.68 thf(zip_derived_cl112, plain, (((universal_class) = (null_class))),
% 0.14/0.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.68 thf(zip_derived_cl529, plain,
% 0.14/0.68 (![X0 : $i]:
% 0.14/0.68 (((X0) = (universal_class))
% 0.14/0.68 | ((intersection @ X0 @ (regular @ X0)) = (universal_class)))),
% 0.14/0.68 inference('demod', [status(thm)],
% 0.14/0.68 [zip_derived_cl66, zip_derived_cl112, zip_derived_cl112])).
% 0.14/0.68 thf(intersection1, axiom,
% 0.14/0.68 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 0.14/0.68 thf(zip_derived_cl20, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.68 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 0.14/0.68 inference('cnf', [status(esa)], [intersection1])).
% 0.14/0.68 thf(zip_derived_cl563, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (((X0) = (universal_class))
% 0.14/0.68 | ~ (member @ X1 @ universal_class)
% 0.14/0.68 | (member @ X1 @ X0))),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl529, zip_derived_cl20])).
% 0.14/0.68 thf(zip_derived_cl571, plain,
% 0.14/0.68 (![X0 : $i]:
% 0.14/0.68 (((X0) = (universal_class)) | (member @ universal_class @ X0))),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl498, zip_derived_cl563])).
% 0.14/0.68 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.14/0.68 thf(zip_derived_cl11, plain,
% 0.14/0.68 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.14/0.68 inference('cnf', [status(esa)], [singleton_set])).
% 0.14/0.68 thf(unordered_pair_member, axiom,
% 0.14/0.68 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.14/0.68 ( ( U ) = ( Y ) ))).
% 0.14/0.68 thf(zip_derived_cl7, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.68 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.14/0.68 | ((X0) = (X1))
% 0.14/0.68 | ((X0) = (X2)))),
% 0.14/0.68 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.14/0.68 thf(zip_derived_cl520, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 0.14/0.68 thf(zip_derived_cl522, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.14/0.68 inference('simplify', [status(thm)], [zip_derived_cl520])).
% 0.14/0.68 thf(zip_derived_cl582, plain,
% 0.14/0.68 (![X0 : $i]:
% 0.14/0.68 (((singleton @ X0) = (universal_class)) | ((universal_class) = (X0)))),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl522])).
% 0.14/0.68 thf(zip_derived_cl522, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.14/0.68 inference('simplify', [status(thm)], [zip_derived_cl520])).
% 0.14/0.68 thf(zip_derived_cl603, plain,
% 0.14/0.68 (![X0 : $i, X1 : $i]:
% 0.14/0.68 (((universal_class) = (X0))
% 0.14/0.68 | ((X1) = (X0))
% 0.14/0.68 | ~ (member @ X1 @ universal_class))),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl582, zip_derived_cl522])).
% 0.14/0.68 thf(zip_derived_cl611, plain,
% 0.14/0.68 (![X0 : $i]: (((universal_class) = (X0)) | ((universal_class) = (X0)))),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl498, zip_derived_cl603])).
% 0.14/0.68 thf(zip_derived_cl619, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.14/0.68 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.14/0.68 thf(zip_derived_cl619, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.14/0.68 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.14/0.68 thf(zip_derived_cl619, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.14/0.68 inference('simplify', [status(thm)], [zip_derived_cl611])).
% 0.14/0.68 thf(zip_derived_cl675, plain,
% 0.14/0.68 (![X1 : $i]:
% 0.14/0.68 (((universal_class) != (universal_class))
% 0.14/0.68 | ~ (member @ X1 @ universal_class))),
% 0.14/0.68 inference('demod', [status(thm)],
% 0.14/0.68 [zip_derived_cl544, zip_derived_cl619, zip_derived_cl619,
% 0.14/0.68 zip_derived_cl619])).
% 0.14/0.68 thf(zip_derived_cl676, plain,
% 0.14/0.68 (![X1 : $i]: ~ (member @ X1 @ universal_class)),
% 0.14/0.68 inference('simplify', [status(thm)], [zip_derived_cl675])).
% 0.14/0.68 thf(zip_derived_cl698, plain, ($false),
% 0.14/0.68 inference('s_sup-', [status(thm)], [zip_derived_cl498, zip_derived_cl676])).
% 0.14/0.68
% 0.14/0.68 % SZS output end Refutation
% 0.14/0.68
% 0.14/0.68
% 0.14/0.68 % Terminating...
% 0.14/0.78 % Runner terminated.
% 0.14/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------