TSTP Solution File: NUM181-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM181-1 : 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.Xe7WY1gNi4 true
% Computer : n002.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 12:39:26 EDT 2023
% Result : Unsatisfiable 1.31s 1.10s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM181-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Xe7WY1gNi4 true
% 0.14/0.35 % Computer : n002.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 : Fri Aug 25 13:09:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.18/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.18/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.31/1.10 % Solved by fo/fo1_lcnf.sh.
% 1.31/1.10 % done 441 iterations in 0.256s
% 1.31/1.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/1.10 % SZS output start Refutation
% 1.31/1.10 thf(universal_class_type, type, universal_class: $i).
% 1.31/1.10 thf(union_type, type, union: $i > $i > $i).
% 1.31/1.10 thf(null_class_type, type, null_class: $i).
% 1.31/1.10 thf(image_type, type, image: $i > $i > $i).
% 1.31/1.10 thf(member_type, type, member: $i > $i > $o).
% 1.31/1.10 thf(successor_relation_type, type, successor_relation: $i).
% 1.31/1.10 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.31/1.10 thf(complement_type, type, complement: $i > $i).
% 1.31/1.10 thf(limit_ordinals_type, type, limit_ordinals: $i).
% 1.31/1.10 thf(singleton_type, type, singleton: $i > $i).
% 1.31/1.10 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.31/1.10 thf(kind_1_ordinals_type, type, kind_1_ordinals: $i).
% 1.31/1.10 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.31/1.10 thf(ordinal_numbers_type, type, ordinal_numbers: $i).
% 1.31/1.10 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.31/1.10 thf(zip_derived_cl11, plain,
% 1.31/1.10 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.31/1.10 inference('cnf', [status(esa)], [singleton_set])).
% 1.31/1.10 thf(unordered_pair2, axiom,
% 1.31/1.10 (( ~( member @ X @ universal_class ) ) |
% 1.31/1.10 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.31/1.10 thf(zip_derived_cl8, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 (((((~) @ (member @ X0 @ universal_class))) | (member @ X0 @
% 1.31/1.10 (unordered_pair @ X0 @ X1))))),
% 1.31/1.10 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.31/1.10 thf(zip_derived_cl248, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 (~ (member @ X0 @ universal_class)
% 1.31/1.10 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.31/1.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])).
% 1.31/1.10 thf(zip_derived_cl251, plain,
% 1.31/1.10 (![X0 : $i]:
% 1.31/1.10 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 1.31/1.10 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl248])).
% 1.31/1.10 thf(kind_1_ordinals, axiom,
% 1.31/1.10 (( union @
% 1.31/1.10 ( singleton @ null_class ) @
% 1.31/1.10 ( image @ successor_relation @ ordinal_numbers ) ) =
% 1.31/1.10 ( kind_1_ordinals ))).
% 1.31/1.10 thf(zip_derived_cl137, plain,
% 1.31/1.10 (((union @ (singleton @ null_class) @
% 1.31/1.10 (image @ successor_relation @ ordinal_numbers)) = (kind_1_ordinals))),
% 1.31/1.10 inference('cnf', [status(esa)], [kind_1_ordinals])).
% 1.31/1.10 thf(union, axiom,
% 1.31/1.10 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 1.31/1.10 ( union @ X @ Y ))).
% 1.31/1.10 thf(zip_derived_cl25, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 1.31/1.10 = (union @ X0 @ X1))),
% 1.31/1.10 inference('cnf', [status(esa)], [union])).
% 1.31/1.10 thf(prove_null_class_is_not_a_limit_ordinal_1, conjecture,
% 1.31/1.10 (~( member @ null_class @ limit_ordinals ))).
% 1.31/1.10 thf(zf_stmt_0, negated_conjecture, (member @ null_class @ limit_ordinals),
% 1.31/1.10 inference('cnf.neg', [status(esa)],
% 1.31/1.10 [prove_null_class_is_not_a_limit_ordinal_1])).
% 1.31/1.10 thf(zip_derived_cl158, plain, ( (member @ null_class @ limit_ordinals)),
% 1.31/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/1.10 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.31/1.10 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.31/1.10 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.31/1.10 thf(subclass_members, axiom,
% 1.31/1.10 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.31/1.10 thf(zip_derived_cl0, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/1.10 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 1.31/1.10 (member @ X2 @ X1)))),
% 1.31/1.10 inference('cnf', [status(esa)], [subclass_members])).
% 1.31/1.10 thf(zip_derived_cl159, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/1.10 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.31/1.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 1.31/1.10 thf(zip_derived_cl160, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.31/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl159])).
% 1.31/1.10 thf(zip_derived_cl166, plain, ( (member @ null_class @ universal_class)),
% 1.31/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl160])).
% 1.31/1.10 thf(complement2, axiom,
% 1.31/1.10 (( ~( member @ Z @ universal_class ) ) |
% 1.31/1.10 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 1.31/1.10 thf(zip_derived_cl24, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 (((((~) @ (member @ X0 @ universal_class))) |
% 1.31/1.10 (member @ X0 @ (complement @ X1)) | (member @ X0 @ X1)))),
% 1.31/1.10 inference('cnf', [status(esa)], [complement2])).
% 1.31/1.10 thf(zip_derived_cl563, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 (~ (member @ X0 @ universal_class)
% 1.31/1.10 | (member @ X0 @ (complement @ X1))
% 1.31/1.10 | (member @ X0 @ X1))),
% 1.31/1.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 1.31/1.10 thf(zip_derived_cl569, plain,
% 1.31/1.10 (![X0 : $i]:
% 1.31/1.10 ( (member @ null_class @ (complement @ X0))
% 1.31/1.10 | (member @ null_class @ X0))),
% 1.31/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl563])).
% 1.31/1.10 thf(zip_derived_cl584, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 ( (member @ null_class @ (union @ X1 @ X0))
% 1.31/1.10 | (member @ null_class @
% 1.31/1.10 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 1.31/1.10 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl569])).
% 1.31/1.10 thf(intersection1, axiom,
% 1.31/1.10 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.31/1.10 thf(zip_derived_cl20, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/1.10 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 1.31/1.10 X0 @ X1)))),
% 1.31/1.10 inference('cnf', [status(esa)], [intersection1])).
% 1.31/1.10 thf(zip_derived_cl412, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/1.10 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.31/1.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])).
% 1.31/1.10 thf(zip_derived_cl806, plain,
% 1.31/1.10 (![X0 : $i, X1 : $i]:
% 1.31/1.10 ( (member @ null_class @ (union @ X1 @ X0))
% 1.31/1.10 | (member @ null_class @ (complement @ X1)))),
% 1.31/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl584, zip_derived_cl412])).
% 1.31/1.10 thf(zip_derived_cl840, plain,
% 1.31/1.10 (( (member @ null_class @ kind_1_ordinals)
% 1.31/1.10 | (member @ null_class @ (complement @ (singleton @ null_class))))),
% 1.57/1.10 inference('s_sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl806])).
% 1.57/1.10 thf(zip_derived_cl158, plain, ( (member @ null_class @ limit_ordinals)),
% 1.57/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.57/1.10 thf(limit_ordinals, axiom,
% 1.57/1.10 (( intersection @ ( complement @ kind_1_ordinals ) @ ordinal_numbers ) =
% 1.57/1.10 ( limit_ordinals ))).
% 1.57/1.10 thf(zip_derived_cl138, plain,
% 1.57/1.10 (((intersection @ (complement @ kind_1_ordinals) @ ordinal_numbers)
% 1.57/1.10 = (limit_ordinals))),
% 1.57/1.10 inference('cnf', [status(esa)], [limit_ordinals])).
% 1.57/1.10 thf(zip_derived_cl412, plain,
% 1.57/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.10 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.57/1.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])).
% 1.57/1.10 thf(zip_derived_cl422, plain,
% 1.57/1.10 (![X0 : $i]:
% 1.57/1.10 (~ (member @ X0 @ limit_ordinals)
% 1.57/1.10 | (member @ X0 @ (complement @ kind_1_ordinals)))),
% 1.57/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl412])).
% 1.57/1.10 thf(complement1, axiom,
% 1.57/1.10 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.57/1.10 thf(zip_derived_cl23, plain,
% 1.57/1.10 (![X0 : $i, X1 : $i]:
% 1.57/1.10 (((((~) @ (member @ X0 @ (complement @ X1)))) |
% 1.57/1.10 (((~) @ (member @ X0 @ X1)))))),
% 1.57/1.10 inference('cnf', [status(esa)], [complement1])).
% 1.57/1.10 thf(zip_derived_cl333, plain,
% 1.57/1.10 (![X0 : $i, X1 : $i]:
% 1.57/1.10 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.57/1.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 1.57/1.10 thf(zip_derived_cl823, plain,
% 1.57/1.10 (![X0 : $i]:
% 1.57/1.10 (~ (member @ X0 @ limit_ordinals) | ~ (member @ X0 @ kind_1_ordinals))),
% 1.57/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl422, zip_derived_cl333])).
% 1.57/1.10 thf(zip_derived_cl832, plain, (~ (member @ null_class @ kind_1_ordinals)),
% 1.57/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl823])).
% 1.57/1.10 thf(zip_derived_cl841, plain,
% 1.57/1.10 ( (member @ null_class @ (complement @ (singleton @ null_class)))),
% 1.57/1.10 inference('demod', [status(thm)], [zip_derived_cl840, zip_derived_cl832])).
% 1.57/1.10 thf(zip_derived_cl333, plain,
% 1.57/1.10 (![X0 : $i, X1 : $i]:
% 1.57/1.10 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.57/1.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 1.57/1.10 thf(zip_derived_cl845, plain,
% 1.57/1.10 (~ (member @ null_class @ (singleton @ null_class))),
% 1.57/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl841, zip_derived_cl333])).
% 1.57/1.10 thf(zip_derived_cl1531, plain, (~ (member @ null_class @ universal_class)),
% 1.57/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl251, zip_derived_cl845])).
% 1.57/1.10 thf(zip_derived_cl166, plain, ( (member @ null_class @ universal_class)),
% 1.57/1.10 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl160])).
% 1.57/1.10 thf(zip_derived_cl1550, plain, ($false),
% 1.57/1.10 inference('demod', [status(thm)], [zip_derived_cl1531, zip_derived_cl166])).
% 1.57/1.10
% 1.57/1.10 % SZS output end Refutation
% 1.57/1.10
% 1.57/1.10
% 1.57/1.10 % Terminating...
% 1.70/1.16 % Runner terminated.
% 1.70/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------