TSTP Solution File: SET454-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET454-6 : 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.Ql1x2oVubQ true
% Computer : n013.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 16:14:12 EDT 2023
% Result : Unsatisfiable 1.35s 0.84s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET454-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ql1x2oVubQ true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 13:10:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.23/0.63 % Total configuration time : 435
% 0.23/0.63 % Estimated wc time : 1092
% 0.23/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.84 % Solved by fo/fo6_bce.sh.
% 1.35/0.84 % BCE start: 113
% 1.35/0.84 % BCE eliminated: 1
% 1.35/0.84 % PE start: 112
% 1.35/0.84 logic: eq
% 1.35/0.84 % PE eliminated: 19
% 1.35/0.84 % done 135 iterations in 0.101s
% 1.35/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.84 % SZS output start Refutation
% 1.35/0.84 thf(universal_class_type, type, universal_class: $i).
% 1.35/0.84 thf(member_type, type, member: $i > $i > $o).
% 1.35/0.84 thf(subset_relation_type, type, subset_relation: $i).
% 1.35/0.84 thf(complement_type, type, complement: $i > $i).
% 1.35/0.84 thf(identity_relation_type, type, identity_relation: $i).
% 1.35/0.84 thf(compose_type, type, compose: $i > $i > $i).
% 1.35/0.84 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.35/0.84 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.35/0.84 thf(element_relation_type, type, element_relation: $i).
% 1.35/0.84 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.35/0.84 thf(inverse_type, type, inverse: $i > $i).
% 1.35/0.84 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.35/0.84 thf(prove_identity_alternate_defn1_1, conjecture,
% 1.35/0.84 (subclass @
% 1.35/0.84 identity_relation @ ( cross_product @ universal_class @ universal_class ))).
% 1.35/0.84 thf(zf_stmt_0, negated_conjecture,
% 1.35/0.84 (~( subclass @
% 1.35/0.84 identity_relation @
% 1.35/0.84 ( cross_product @ universal_class @ universal_class ) )),
% 1.35/0.84 inference('cnf.neg', [status(esa)], [prove_identity_alternate_defn1_1])).
% 1.35/0.84 thf(zip_derived_cl112, plain,
% 1.35/0.84 (~ (subclass @ identity_relation @
% 1.35/0.84 (cross_product @ universal_class @ universal_class))),
% 1.35/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.84 thf(not_subclass_members1, axiom,
% 1.35/0.84 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.35/0.84 thf(zip_derived_cl1, plain,
% 1.35/0.84 (![X0 : $i, X1 : $i]:
% 1.35/0.84 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.35/0.84 | (subclass @ X0 @ X1))),
% 1.35/0.84 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.35/0.84 thf(identity_relation, axiom,
% 1.35/0.84 (( intersection @ ( inverse @ subset_relation ) @ subset_relation ) =
% 1.35/0.84 ( identity_relation ))).
% 1.35/0.84 thf(zip_derived_cl74, plain,
% 1.35/0.84 (((intersection @ (inverse @ subset_relation) @ subset_relation)
% 1.35/0.84 = (identity_relation))),
% 1.35/0.84 inference('cnf', [status(esa)], [identity_relation])).
% 1.35/0.84 thf(intersection2, axiom,
% 1.35/0.84 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 1.35/0.84 thf(zip_derived_cl21, plain,
% 1.35/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.84 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 1.35/0.84 inference('cnf', [status(esa)], [intersection2])).
% 1.35/0.84 thf(zip_derived_cl576, plain,
% 1.35/0.84 (![X0 : $i]:
% 1.35/0.84 (~ (member @ X0 @ identity_relation)
% 1.35/0.84 | (member @ X0 @ subset_relation))),
% 1.35/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl21])).
% 1.35/0.84 thf(subset_relation, axiom,
% 1.35/0.84 (( intersection @
% 1.35/0.84 ( cross_product @ universal_class @ universal_class ) @
% 1.35/0.84 ( intersection @
% 1.35/0.84 ( cross_product @ universal_class @ universal_class ) @
% 1.35/0.84 ( complement @
% 1.35/0.84 ( compose @
% 1.35/0.84 ( complement @ element_relation ) @ ( inverse @ element_relation ) ) ) ) ) =
% 1.35/0.84 ( subset_relation ))).
% 1.35/0.84 thf(zip_derived_cl73, plain,
% 1.35/0.84 (((intersection @ (cross_product @ universal_class @ universal_class) @
% 1.35/0.84 (intersection @ (cross_product @ universal_class @ universal_class) @
% 1.35/0.84 (complement @
% 1.35/0.84 (compose @ (complement @ element_relation) @
% 1.35/0.84 (inverse @ element_relation)))))
% 1.35/0.84 = (subset_relation))),
% 1.35/0.84 inference('cnf', [status(esa)], [subset_relation])).
% 1.35/0.84 thf(intersection1, axiom,
% 1.35/0.84 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.35/0.84 thf(zip_derived_cl20, plain,
% 1.35/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.84 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.35/0.84 inference('cnf', [status(esa)], [intersection1])).
% 1.35/0.84 thf(zip_derived_cl620, plain,
% 1.35/0.84 (![X0 : $i]:
% 1.35/0.84 (~ (member @ X0 @ subset_relation)
% 1.35/0.84 | (member @ X0 @ (cross_product @ universal_class @ universal_class)))),
% 1.35/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl20])).
% 1.35/0.84 thf(not_subclass_members2, axiom,
% 1.35/0.84 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.35/0.84 ( subclass @ X @ Y ))).
% 1.35/0.84 thf(zip_derived_cl2, plain,
% 1.35/0.84 (![X0 : $i, X1 : $i]:
% 1.35/0.84 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.35/0.84 | (subclass @ X0 @ X1))),
% 1.35/0.84 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.35/0.84 thf(zip_derived_cl643, plain,
% 1.35/0.84 (![X0 : $i]:
% 1.35/0.84 (~ (member @
% 1.35/0.84 (not_subclass_element @ X0 @
% 1.35/0.84 (cross_product @ universal_class @ universal_class)) @
% 1.35/0.84 subset_relation)
% 1.35/0.84 | (subclass @ X0 @
% 1.35/0.84 (cross_product @ universal_class @ universal_class)))),
% 1.35/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl620, zip_derived_cl2])).
% 1.35/0.84 thf(zip_derived_cl722, plain,
% 1.35/0.84 (![X0 : $i]:
% 1.35/0.84 (~ (member @
% 1.35/0.84 (not_subclass_element @ X0 @
% 1.35/0.84 (cross_product @ universal_class @ universal_class)) @
% 1.35/0.84 identity_relation)
% 1.35/0.84 | (subclass @ X0 @
% 1.35/0.84 (cross_product @ universal_class @ universal_class)))),
% 1.35/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl643])).
% 1.35/0.84 thf(zip_derived_cl723, plain,
% 1.35/0.84 (( (subclass @ identity_relation @
% 1.35/0.84 (cross_product @ universal_class @ universal_class))
% 1.35/0.84 | (subclass @ identity_relation @
% 1.35/0.84 (cross_product @ universal_class @ universal_class)))),
% 1.35/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl722])).
% 1.35/0.84 thf(zip_derived_cl724, plain,
% 1.35/0.84 ( (subclass @ identity_relation @
% 1.35/0.84 (cross_product @ universal_class @ universal_class))),
% 1.35/0.84 inference('simplify', [status(thm)], [zip_derived_cl723])).
% 1.35/0.84 thf(zip_derived_cl728, plain, ($false),
% 1.35/0.84 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl724])).
% 1.35/0.84
% 1.35/0.84 % SZS output end Refutation
% 1.35/0.84
% 1.35/0.84
% 1.35/0.84 % Terminating...
% 1.56/0.95 % Runner terminated.
% 1.56/0.96 % Zipperpin 1.5 exiting
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