TSTP Solution File: SET497-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET497-6 : 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.j0POH24lEQ 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 16:14:25 EDT 2023
% Result : Unsatisfiable 1.24s 0.82s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET497-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.j0POH24lEQ true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 08:25:27 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.82 % Solved by fo/fo6_bce.sh.
% 1.24/0.82 % BCE start: 114
% 1.24/0.82 % BCE eliminated: 1
% 1.24/0.82 % PE start: 113
% 1.24/0.82 logic: eq
% 1.24/0.82 % PE eliminated: 19
% 1.24/0.82 % done 121 iterations in 0.075s
% 1.24/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.82 % SZS output start Refutation
% 1.24/0.82 thf(universal_class_type, type, universal_class: $i).
% 1.24/0.82 thf(null_class_type, type, null_class: $i).
% 1.24/0.82 thf(member_type, type, member: $i > $i > $o).
% 1.24/0.82 thf(z_type, type, z: $i).
% 1.24/0.82 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.24/0.82 thf(complement_type, type, complement: $i > $i).
% 1.24/0.82 thf(singleton_type, type, singleton: $i > $i).
% 1.24/0.82 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.24/0.82 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.24/0.82 thf(element_relation_type, type, element_relation: $i).
% 1.24/0.82 thf(diagonalise_type, type, diagonalise: $i > $i).
% 1.24/0.82 thf(regular_type, type, regular: $i > $i).
% 1.24/0.82 thf(prove_russell_class1_2, conjecture, (~( member @ z @ z ))).
% 1.24/0.82 thf(zf_stmt_0, negated_conjecture, (member @ z @ z),
% 1.24/0.82 inference('cnf.neg', [status(esa)], [prove_russell_class1_2])).
% 1.24/0.82 thf(zip_derived_cl113, plain, ( (member @ z @ z)),
% 1.24/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.82 thf(regularity1, axiom,
% 1.24/0.82 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.24/0.82 thf(zip_derived_cl65, plain,
% 1.24/0.82 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.24/0.82 inference('cnf', [status(esa)], [regularity1])).
% 1.24/0.82 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.24/0.82 thf(zip_derived_cl11, plain,
% 1.24/0.82 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.24/0.82 inference('cnf', [status(esa)], [singleton_set])).
% 1.24/0.82 thf(unordered_pair_member, axiom,
% 1.24/0.82 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.24/0.82 ( ( U ) = ( Y ) ))).
% 1.24/0.82 thf(zip_derived_cl7, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.82 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.24/0.82 | ((X0) = (X1))
% 1.24/0.82 | ((X0) = (X2)))),
% 1.24/0.82 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.24/0.82 thf(zip_derived_cl517, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 1.24/0.82 thf(zip_derived_cl518, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.24/0.82 inference('simplify', [status(thm)], [zip_derived_cl517])).
% 1.24/0.82 thf(zip_derived_cl534, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (((singleton @ X0) = (null_class))
% 1.24/0.82 | ((regular @ (singleton @ X0)) = (X0)))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl518])).
% 1.24/0.82 thf(zip_derived_cl65, plain,
% 1.24/0.82 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.24/0.82 inference('cnf', [status(esa)], [regularity1])).
% 1.24/0.82 thf(zip_derived_cl652, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (((singleton @ X0) = (null_class))
% 1.24/0.82 | ((singleton @ X0) = (null_class))
% 1.24/0.82 | (member @ X0 @ (singleton @ X0)))),
% 1.24/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl534, zip_derived_cl65])).
% 1.24/0.82 thf(zip_derived_cl654, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 ( (member @ X0 @ (singleton @ X0)) | ((singleton @ X0) = (null_class)))),
% 1.24/0.82 inference('simplify', [status(thm)], [zip_derived_cl652])).
% 1.24/0.82 thf(zip_derived_cl534, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (((singleton @ X0) = (null_class))
% 1.24/0.82 | ((regular @ (singleton @ X0)) = (X0)))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl518])).
% 1.24/0.82 thf(regularity2, axiom,
% 1.24/0.82 (( ( X ) = ( null_class ) ) |
% 1.24/0.82 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 1.24/0.82 thf(zip_derived_cl66, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (((X0) = (null_class))
% 1.24/0.82 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 1.24/0.82 inference('cnf', [status(esa)], [regularity2])).
% 1.24/0.82 thf(intersection3, axiom,
% 1.24/0.82 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 1.24/0.82 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 1.24/0.82 thf(zip_derived_cl22, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.82 (~ (member @ X0 @ X1)
% 1.24/0.82 | ~ (member @ X0 @ X2)
% 1.24/0.82 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 1.24/0.82 inference('cnf', [status(esa)], [intersection3])).
% 1.24/0.82 thf(zip_derived_cl690, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (((X0) = (null_class))
% 1.24/0.82 | ~ (member @ X1 @ X0)
% 1.24/0.82 | ~ (member @ X1 @ (regular @ X0))
% 1.24/0.82 | (member @ X1 @ null_class))),
% 1.24/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl22])).
% 1.24/0.82 thf(zip_derived_cl65, plain,
% 1.24/0.82 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.24/0.82 inference('cnf', [status(esa)], [regularity1])).
% 1.24/0.82 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.24/0.82 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.24/0.82 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.24/0.82 thf(subclass_members, axiom,
% 1.24/0.82 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.24/0.82 thf(zip_derived_cl0, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.82 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.24/0.82 inference('cnf', [status(esa)], [subclass_members])).
% 1.24/0.82 thf(zip_derived_cl499, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.24/0.82 thf(zip_derived_cl532, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl499])).
% 1.24/0.82 thf(zip_derived_cl65, plain,
% 1.24/0.82 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.24/0.82 inference('cnf', [status(esa)], [regularity1])).
% 1.24/0.82 thf(complement1, axiom,
% 1.24/0.82 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.24/0.82 thf(zip_derived_cl23, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.24/0.82 inference('cnf', [status(esa)], [complement1])).
% 1.24/0.82 thf(zip_derived_cl535, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (((complement @ X0) = (null_class))
% 1.24/0.82 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 1.24/0.82 thf(zip_derived_cl549, plain,
% 1.24/0.82 ((((complement @ universal_class) = (null_class))
% 1.24/0.82 | ((complement @ universal_class) = (null_class)))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl532, zip_derived_cl535])).
% 1.24/0.82 thf(zip_derived_cl550, plain,
% 1.24/0.82 (((complement @ universal_class) = (null_class))),
% 1.24/0.82 inference('simplify', [status(thm)], [zip_derived_cl549])).
% 1.24/0.82 thf(zip_derived_cl23, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.24/0.82 inference('cnf', [status(esa)], [complement1])).
% 1.24/0.82 thf(zip_derived_cl551, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl550, zip_derived_cl23])).
% 1.24/0.82 thf(zip_derived_cl499, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.24/0.82 thf(zip_derived_cl553, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.24/0.82 inference('clc', [status(thm)], [zip_derived_cl551, zip_derived_cl499])).
% 1.24/0.82 thf(zip_derived_cl696, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (((X0) = (null_class))
% 1.24/0.82 | ~ (member @ X1 @ X0)
% 1.24/0.82 | ~ (member @ X1 @ (regular @ X0)))),
% 1.24/0.82 inference('demod', [status(thm)], [zip_derived_cl690, zip_derived_cl553])).
% 1.24/0.82 thf(zip_derived_cl712, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (((singleton @ X0) = (null_class))
% 1.24/0.82 | ((singleton @ X0) = (null_class))
% 1.24/0.82 | ~ (member @ X1 @ (singleton @ X0))
% 1.24/0.82 | ~ (member @ X1 @ X0))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl534, zip_derived_cl696])).
% 1.24/0.82 thf(zip_derived_cl713, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X1 @ X0)
% 1.24/0.82 | ~ (member @ X1 @ (singleton @ X0))
% 1.24/0.82 | ((singleton @ X0) = (null_class)))),
% 1.24/0.82 inference('simplify', [status(thm)], [zip_derived_cl712])).
% 1.24/0.82 thf(zip_derived_cl715, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (((singleton @ X0) = (null_class))
% 1.24/0.82 | ~ (member @ X0 @ X0)
% 1.24/0.82 | ((singleton @ X0) = (null_class)))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl654, zip_derived_cl713])).
% 1.24/0.82 thf(zip_derived_cl719, plain,
% 1.24/0.82 (![X0 : $i]: (~ (member @ X0 @ X0) | ((singleton @ X0) = (null_class)))),
% 1.24/0.82 inference('simplify', [status(thm)], [zip_derived_cl715])).
% 1.24/0.82 thf(zip_derived_cl725, plain, (((singleton @ z) = (null_class))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl719])).
% 1.24/0.82 thf(zip_derived_cl11, plain,
% 1.24/0.82 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.24/0.82 inference('cnf', [status(esa)], [singleton_set])).
% 1.24/0.82 thf(unordered_pair2, axiom,
% 1.24/0.82 (( ~( member @ X @ universal_class ) ) |
% 1.24/0.82 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.24/0.82 thf(zip_derived_cl8, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X0 @ universal_class)
% 1.24/0.82 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.24/0.82 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.24/0.82 thf(zip_derived_cl523, plain,
% 1.24/0.82 (![X0 : $i]:
% 1.24/0.82 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 1.24/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 1.24/0.82 thf(zip_derived_cl732, plain,
% 1.24/0.82 ((~ (member @ z @ universal_class) | (member @ z @ null_class))),
% 1.24/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl725, zip_derived_cl523])).
% 1.24/0.82 thf(prove_russell_class1_1, conjecture,
% 1.24/0.82 (~( member @ z @ ( diagonalise @ element_relation ) ))).
% 1.24/0.82 thf(zf_stmt_1, negated_conjecture,
% 1.24/0.82 (member @ z @ ( diagonalise @ element_relation )),
% 1.24/0.82 inference('cnf.neg', [status(esa)], [prove_russell_class1_1])).
% 1.24/0.82 thf(zip_derived_cl112, plain,
% 1.24/0.82 ( (member @ z @ (diagonalise @ element_relation))),
% 1.24/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/0.82 thf(zip_derived_cl499, plain,
% 1.24/0.82 (![X0 : $i, X1 : $i]:
% 1.24/0.82 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.24/0.82 thf(zip_derived_cl503, plain, ( (member @ z @ universal_class)),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl499])).
% 1.24/0.82 thf(zip_derived_cl741, plain, ( (member @ z @ null_class)),
% 1.24/0.82 inference('demod', [status(thm)], [zip_derived_cl732, zip_derived_cl503])).
% 1.24/0.82 thf(zip_derived_cl553, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.24/0.82 inference('clc', [status(thm)], [zip_derived_cl551, zip_derived_cl499])).
% 1.24/0.82 thf(zip_derived_cl747, plain, ($false),
% 1.24/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl741, zip_derived_cl553])).
% 1.24/0.82
% 1.24/0.82 % SZS output end Refutation
% 1.24/0.82
% 1.24/0.82
% 1.24/0.82 % Terminating...
% 1.42/0.88 % Runner terminated.
% 1.42/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------