TSTP Solution File: NUM159-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM159-1 : 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.yTZAbBVrkq true
% Computer : n027.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 12:39:22 EDT 2023
% Result : Unsatisfiable 91.63s 13.94s
% Output : Refutation 91.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM159-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yTZAbBVrkq true
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 12:01:33 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.70 % Total configuration time : 435
% 0.22/0.70 % Estimated wc time : 1092
% 0.22/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.86 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 91.63/13.94 % Solved by fo/fo6_bce.sh.
% 91.63/13.94 % BCE start: 159
% 91.63/13.94 % BCE eliminated: 3
% 91.63/13.94 % PE start: 156
% 91.63/13.94 logic: eq
% 91.63/13.94 % PE eliminated: 27
% 91.63/13.94 % done 4945 iterations in 13.175s
% 91.63/13.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 91.63/13.94 % SZS output start Refutation
% 91.63/13.94 thf(universal_class_type, type, universal_class: $i).
% 91.63/13.94 thf(union_type, type, union: $i > $i > $i).
% 91.63/13.94 thf(null_class_type, type, null_class: $i).
% 91.63/13.94 thf(image_type, type, image: $i > $i > $i).
% 91.63/13.94 thf(member_type, type, member: $i > $i > $o).
% 91.63/13.94 thf(successor_relation_type, type, successor_relation: $i).
% 91.63/13.94 thf(complement_type, type, complement: $i > $i).
% 91.63/13.94 thf(singleton_type, type, singleton: $i > $i).
% 91.63/13.94 thf(intersection_type, type, intersection: $i > $i > $i).
% 91.63/13.94 thf(kind_1_ordinals_type, type, kind_1_ordinals: $i).
% 91.63/13.94 thf(subclass_type, type, subclass: $i > $i > $o).
% 91.63/13.94 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 91.63/13.94 thf(ordinal_numbers_type, type, ordinal_numbers: $i).
% 91.63/13.94 thf(prove_corollary_to_kind_1_ordinal_1, conjecture,
% 91.63/13.94 (subclass @
% 91.63/13.94 ( image @ successor_relation @ ordinal_numbers ) @ kind_1_ordinals)).
% 91.63/13.94 thf(zf_stmt_0, negated_conjecture,
% 91.63/13.94 (~( subclass @
% 91.63/13.94 ( image @ successor_relation @ ordinal_numbers ) @ kind_1_ordinals )),
% 91.63/13.94 inference('cnf.neg', [status(esa)], [prove_corollary_to_kind_1_ordinal_1])).
% 91.63/13.94 thf(zip_derived_cl158, plain,
% 91.63/13.94 (~ (subclass @ (image @ successor_relation @ ordinal_numbers) @
% 91.63/13.94 kind_1_ordinals)),
% 91.63/13.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 91.63/13.94 thf(kind_1_ordinals, axiom,
% 91.63/13.94 (( union @
% 91.63/13.94 ( singleton @ null_class ) @
% 91.63/13.94 ( image @ successor_relation @ ordinal_numbers ) ) =
% 91.63/13.94 ( kind_1_ordinals ))).
% 91.63/13.94 thf(zip_derived_cl137, plain,
% 91.63/13.94 (((union @ (singleton @ null_class) @
% 91.63/13.94 (image @ successor_relation @ ordinal_numbers)) = (kind_1_ordinals))),
% 91.63/13.94 inference('cnf', [status(esa)], [kind_1_ordinals])).
% 91.63/13.94 thf(union, axiom,
% 91.63/13.94 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 91.63/13.94 ( union @ X @ Y ))).
% 91.63/13.94 thf(zip_derived_cl25, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 91.63/13.94 = (union @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [union])).
% 91.63/13.94 thf(complement2, axiom,
% 91.63/13.94 (( ~( member @ Z @ universal_class ) ) |
% 91.63/13.94 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 91.63/13.94 thf(zip_derived_cl24, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (member @ X0 @ universal_class)
% 91.63/13.94 | (member @ X0 @ (complement @ X1))
% 91.63/13.94 | (member @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [complement2])).
% 91.63/13.94 thf(not_subclass_members2, axiom,
% 91.63/13.94 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 91.63/13.94 ( subclass @ X @ Y ))).
% 91.63/13.94 thf(zip_derived_cl2, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 91.63/13.94 | (subclass @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [not_subclass_members2])).
% 91.63/13.94 thf(zip_derived_cl836, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0)
% 91.63/13.94 | ~ (member @ (not_subclass_element @ X1 @ (complement @ X0)) @
% 91.63/13.94 universal_class)
% 91.63/13.94 | (subclass @ X1 @ (complement @ X0)))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 91.63/13.94 thf(not_subclass_members1, axiom,
% 91.63/13.94 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 91.63/13.94 thf(zip_derived_cl1, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 91.63/13.94 | (subclass @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [not_subclass_members1])).
% 91.63/13.94 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 91.63/13.94 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 91.63/13.94 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 91.63/13.94 thf(subclass_members, axiom,
% 91.63/13.94 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 91.63/13.94 thf(zip_derived_cl0, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.63/13.94 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [subclass_members])).
% 91.63/13.94 thf(zip_derived_cl742, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 91.63/13.94 thf(zip_derived_cl785, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ X0 @ X1)
% 91.63/13.94 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl742])).
% 91.63/13.94 thf(zip_derived_cl2486, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ X1 @ (complement @ X0))
% 91.63/13.94 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 91.63/13.94 inference('clc', [status(thm)], [zip_derived_cl836, zip_derived_cl785])).
% 91.63/13.94 thf(intersection2, axiom,
% 91.63/13.94 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 91.63/13.94 thf(zip_derived_cl21, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.63/13.94 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 91.63/13.94 inference('cnf', [status(esa)], [intersection2])).
% 91.63/13.94 thf(zip_derived_cl2497, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.63/13.94 ( (subclass @ X2 @ (complement @ (intersection @ X1 @ X0)))
% 91.63/13.94 | (member @
% 91.63/13.94 (not_subclass_element @ X2 @
% 91.63/13.94 (complement @ (intersection @ X1 @ X0))) @
% 91.63/13.94 X0))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl2486, zip_derived_cl21])).
% 91.63/13.94 thf(zip_derived_cl24, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (member @ X0 @ universal_class)
% 91.63/13.94 | (member @ X0 @ (complement @ X1))
% 91.63/13.94 | (member @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [complement2])).
% 91.63/13.94 thf(zip_derived_cl1, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 91.63/13.94 | (subclass @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [not_subclass_members1])).
% 91.63/13.94 thf(complement1, axiom,
% 91.63/13.94 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 91.63/13.94 thf(zip_derived_cl23, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [complement1])).
% 91.63/13.94 thf(zip_derived_cl743, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ (complement @ X0) @ X1)
% 91.63/13.94 | ~ (member @ (not_subclass_element @ (complement @ X0) @ X1) @ X0))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl23])).
% 91.63/13.94 thf(zip_derived_cl837, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (member @
% 91.63/13.94 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @ X0)
% 91.63/13.94 | ~ (member @
% 91.63/13.94 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 91.63/13.94 universal_class)
% 91.63/13.94 | (subclass @ (complement @ (complement @ X0)) @ X1))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl743])).
% 91.63/13.94 thf(zip_derived_cl785, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ X0 @ X1)
% 91.63/13.94 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl742])).
% 91.63/13.94 thf(zip_derived_cl2593, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ (complement @ (complement @ X0)) @ X1)
% 91.63/13.94 | (member @
% 91.63/13.94 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 91.63/13.94 X0))),
% 91.63/13.94 inference('clc', [status(thm)], [zip_derived_cl837, zip_derived_cl785])).
% 91.63/13.94 thf(zip_derived_cl2, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 91.63/13.94 | (subclass @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [not_subclass_members2])).
% 91.63/13.94 thf(zip_derived_cl2639, plain,
% 91.63/13.94 (![X0 : $i]:
% 91.63/13.94 ( (subclass @ (complement @ (complement @ X0)) @ X0)
% 91.63/13.94 | (subclass @ (complement @ (complement @ X0)) @ X0))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl2593, zip_derived_cl2])).
% 91.63/13.94 thf(zip_derived_cl2654, plain,
% 91.63/13.94 (![X0 : $i]: (subclass @ (complement @ (complement @ X0)) @ X0)),
% 91.63/13.94 inference('simplify', [status(thm)], [zip_derived_cl2639])).
% 91.63/13.94 thf(subclass_implies_equal, axiom,
% 91.63/13.94 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 91.63/13.94 thf(zip_derived_cl6, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 91.63/13.94 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 91.63/13.94 thf(zip_derived_cl2662, plain,
% 91.63/13.94 (![X0 : $i]:
% 91.63/13.94 (~ (subclass @ X0 @ (complement @ (complement @ X0)))
% 91.63/13.94 | ((complement @ (complement @ X0)) = (X0)))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl2654, zip_derived_cl6])).
% 91.63/13.94 thf(zip_derived_cl1, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 91.63/13.94 | (subclass @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [not_subclass_members1])).
% 91.63/13.94 thf(zip_derived_cl2486, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ X1 @ (complement @ X0))
% 91.63/13.94 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 91.63/13.94 inference('clc', [status(thm)], [zip_derived_cl836, zip_derived_cl785])).
% 91.63/13.94 thf(zip_derived_cl23, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 91.63/13.94 inference('cnf', [status(esa)], [complement1])).
% 91.63/13.94 thf(zip_derived_cl2498, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ X1 @ (complement @ (complement @ X0)))
% 91.63/13.94 | ~ (member @
% 91.63/13.94 (not_subclass_element @ X1 @ (complement @ (complement @ X0))) @
% 91.63/13.94 X0))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl2486, zip_derived_cl23])).
% 91.63/13.94 thf(zip_derived_cl6138, plain,
% 91.63/13.94 (![X0 : $i]:
% 91.63/13.94 ( (subclass @ X0 @ (complement @ (complement @ X0)))
% 91.63/13.94 | (subclass @ X0 @ (complement @ (complement @ X0))))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2498])).
% 91.63/13.94 thf(zip_derived_cl6170, plain,
% 91.63/13.94 (![X0 : $i]: (subclass @ X0 @ (complement @ (complement @ X0)))),
% 91.63/13.94 inference('simplify', [status(thm)], [zip_derived_cl6138])).
% 91.63/13.94 thf(zip_derived_cl6203, plain,
% 91.63/13.94 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 91.63/13.94 inference('demod', [status(thm)],
% 91.63/13.94 [zip_derived_cl2662, zip_derived_cl6170])).
% 91.63/13.94 thf(zip_derived_cl743, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ (complement @ X0) @ X1)
% 91.63/13.94 | ~ (member @ (not_subclass_element @ (complement @ X0) @ X1) @ X0))),
% 91.63/13.94 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl23])).
% 91.63/13.94 thf(zip_derived_cl6329, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ X0 @ X1)
% 91.63/13.94 | ~ (member @ (not_subclass_element @ X0 @ X1) @ (complement @ X0)))),
% 91.63/13.94 inference('s_sup-', [status(thm)],
% 91.63/13.94 [zip_derived_cl6203, zip_derived_cl743])).
% 91.63/13.94 thf(zip_derived_cl59455, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 ( (subclass @ X0 @
% 91.63/13.94 (complement @ (intersection @ X1 @ (complement @ X0))))
% 91.63/13.94 | (subclass @ X0 @
% 91.63/13.94 (complement @ (intersection @ X1 @ (complement @ X0)))))),
% 91.63/13.94 inference('s_sup-', [status(thm)],
% 91.63/13.94 [zip_derived_cl2497, zip_derived_cl6329])).
% 91.63/13.94 thf(zip_derived_cl59767, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]:
% 91.63/13.94 (subclass @ X0 @
% 91.63/13.94 (complement @ (intersection @ X1 @ (complement @ X0))))),
% 91.63/13.94 inference('simplify', [status(thm)], [zip_derived_cl59455])).
% 91.63/13.94 thf(zip_derived_cl74928, plain,
% 91.63/13.94 (![X0 : $i, X1 : $i]: (subclass @ X0 @ (union @ X1 @ X0))),
% 91.63/13.94 inference('s_sup+', [status(thm)],
% 91.63/13.94 [zip_derived_cl25, zip_derived_cl59767])).
% 91.63/13.94 thf(zip_derived_cl75057, plain,
% 91.63/13.94 ( (subclass @ (image @ successor_relation @ ordinal_numbers) @
% 91.63/13.94 kind_1_ordinals)),
% 91.63/13.94 inference('s_sup+', [status(thm)],
% 91.63/13.94 [zip_derived_cl137, zip_derived_cl74928])).
% 91.63/13.94 thf(zip_derived_cl75414, plain, ($false),
% 91.63/13.94 inference('demod', [status(thm)],
% 91.63/13.94 [zip_derived_cl158, zip_derived_cl75057])).
% 91.63/13.94
% 91.63/13.94 % SZS output end Refutation
% 91.63/13.94
% 91.63/13.94
% 91.63/13.94 % Terminating...
% 92.30/14.02 % Runner terminated.
% 92.30/14.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------