TSTP Solution File: SET124-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET124-6 : 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.0Svs3OS1nz 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 16:12:55 EDT 2023
% Result : Unsatisfiable 2.60s 1.00s
% Output : Refutation 2.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET124-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Svs3OS1nz true
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 09:00:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.60/1.00 % Solved by fo/fo1_lcnf.sh.
% 2.60/1.00 % done 198 iterations in 0.175s
% 2.60/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.60/1.00 % SZS output start Refutation
% 2.60/1.00 thf(universal_class_type, type, universal_class: $i).
% 2.60/1.00 thf(union_type, type, union: $i > $i > $i).
% 2.60/1.00 thf(member_type, type, member: $i > $i > $o).
% 2.60/1.00 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 2.60/1.00 thf(complement_type, type, complement: $i > $i).
% 2.60/1.00 thf(set_builder_type, type, set_builder: $i > $i > $i).
% 2.60/1.00 thf(x_type, type, x: $i).
% 2.60/1.00 thf(singleton_type, type, singleton: $i > $i).
% 2.60/1.00 thf(intersection_type, type, intersection: $i > $i > $i).
% 2.60/1.00 thf(z_type, type, z: $i).
% 2.60/1.00 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 2.60/1.00 thf(zip_derived_cl11, plain,
% 2.60/1.00 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 2.60/1.00 inference('cnf', [status(esa)], [singleton_set])).
% 2.60/1.00 thf(unordered_pair2, axiom,
% 2.60/1.00 (( ~( member @ X @ universal_class ) ) |
% 2.60/1.00 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 2.60/1.00 thf(zip_derived_cl8, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 (((((~) @ (member @ X0 @ universal_class))) | (member @ X0 @
% 2.60/1.00 (unordered_pair @ X0 @ X1))))),
% 2.60/1.00 inference('cnf', [status(esa)], [unordered_pair2])).
% 2.60/1.00 thf(zip_derived_cl196, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 (~ (member @ X0 @ universal_class)
% 2.60/1.00 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 2.60/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])).
% 2.60/1.00 thf(zip_derived_cl199, plain,
% 2.60/1.00 (![X0 : $i]:
% 2.60/1.00 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 2.60/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl196])).
% 2.60/1.00 thf(definition_of_set_builder, axiom,
% 2.60/1.00 (( union @ ( singleton @ X ) @ Y ) = ( set_builder @ X @ Y ))).
% 2.60/1.00 thf(zip_derived_cl91, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 ((union @ (singleton @ X0) @ X1) = (set_builder @ X0 @ X1))),
% 2.60/1.00 inference('cnf', [status(esa)], [definition_of_set_builder])).
% 2.60/1.00 thf(union, axiom,
% 2.60/1.00 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 2.60/1.00 ( union @ X @ Y ))).
% 2.60/1.00 thf(zip_derived_cl25, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 2.60/1.00 = (union @ X0 @ X1))),
% 2.60/1.00 inference('cnf', [status(esa)], [union])).
% 2.60/1.00 thf(prove_set_builder_alternate_defn2_1, conjecture,
% 2.60/1.00 (~( member @ x @ universal_class ))).
% 2.60/1.00 thf(zf_stmt_0, negated_conjecture, (member @ x @ universal_class),
% 2.60/1.00 inference('cnf.neg', [status(esa)], [prove_set_builder_alternate_defn2_1])).
% 2.60/1.00 thf(zip_derived_cl92, plain, ( (member @ x @ universal_class)),
% 2.60/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.60/1.00 thf(complement2, axiom,
% 2.60/1.00 (( ~( member @ Z @ universal_class ) ) |
% 2.60/1.00 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 2.60/1.00 thf(zip_derived_cl24, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 (((((~) @ (member @ X0 @ universal_class))) |
% 2.60/1.00 (member @ X0 @ (complement @ X1)) | (member @ X0 @ X1)))),
% 2.60/1.00 inference('cnf', [status(esa)], [complement2])).
% 2.60/1.00 thf(zip_derived_cl365, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 (~ (member @ X0 @ universal_class)
% 2.60/1.00 | (member @ X0 @ (complement @ X1))
% 2.60/1.00 | (member @ X0 @ X1))),
% 2.60/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 2.60/1.00 thf(zip_derived_cl376, plain,
% 2.60/1.00 (![X0 : $i]: ( (member @ x @ (complement @ X0)) | (member @ x @ X0))),
% 2.60/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl365])).
% 2.60/1.00 thf(zip_derived_cl390, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 ( (member @ x @ (union @ X1 @ X0))
% 2.60/1.00 | (member @ x @
% 2.60/1.00 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 2.60/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl376])).
% 2.60/1.00 thf(intersection1, axiom,
% 2.60/1.00 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 2.60/1.00 thf(zip_derived_cl20, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.60/1.00 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 2.60/1.00 X0 @ X1)))),
% 2.60/1.00 inference('cnf', [status(esa)], [intersection1])).
% 2.60/1.00 thf(zip_derived_cl252, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.60/1.00 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 2.60/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])).
% 2.60/1.00 thf(zip_derived_cl461, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 ( (member @ x @ (union @ X1 @ X0)) | (member @ x @ (complement @ X1)))),
% 2.60/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl390, zip_derived_cl252])).
% 2.60/1.00 thf(zip_derived_cl476, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 ( (member @ x @ (set_builder @ X1 @ X0))
% 2.60/1.00 | (member @ x @ (complement @ (singleton @ X1))))),
% 2.60/1.00 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl461])).
% 2.60/1.00 thf(complement1, axiom,
% 2.60/1.00 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 2.60/1.00 thf(zip_derived_cl23, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 (((((~) @ (member @ X0 @ (complement @ X1)))) |
% 2.60/1.00 (((~) @ (member @ X0 @ X1)))))),
% 2.60/1.00 inference('cnf', [status(esa)], [complement1])).
% 2.60/1.00 thf(zip_derived_cl200, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 2.60/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 2.60/1.00 thf(zip_derived_cl640, plain,
% 2.60/1.00 (![X0 : $i, X1 : $i]:
% 2.60/1.00 ( (member @ x @ (set_builder @ X0 @ X1))
% 2.60/1.00 | ~ (member @ x @ (singleton @ X0)))),
% 2.60/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl200])).
% 2.60/1.00 thf(prove_set_builder_alternate_defn2_2, conjecture,
% 2.60/1.00 (member @ x @ ( set_builder @ x @ z ))).
% 2.60/1.00 thf(zf_stmt_1, negated_conjecture,
% 2.60/1.00 (~( member @ x @ ( set_builder @ x @ z ) )),
% 2.60/1.00 inference('cnf.neg', [status(esa)], [prove_set_builder_alternate_defn2_2])).
% 2.60/1.00 thf(zip_derived_cl93, plain, (~ (member @ x @ (set_builder @ x @ z))),
% 2.60/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.60/1.00 thf(zip_derived_cl644, plain, (~ (member @ x @ (singleton @ x))),
% 2.60/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl640, zip_derived_cl93])).
% 2.60/1.00 thf(zip_derived_cl646, plain, (~ (member @ x @ universal_class)),
% 2.60/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl644])).
% 2.60/1.00 thf(zip_derived_cl92, plain, ( (member @ x @ universal_class)),
% 2.60/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.60/1.00 thf(zip_derived_cl648, plain, ($false),
% 2.60/1.00 inference('demod', [status(thm)], [zip_derived_cl646, zip_derived_cl92])).
% 2.60/1.00
% 2.60/1.00 % SZS output end Refutation
% 2.60/1.00
% 2.60/1.00
% 2.60/1.00 % Terminating...
% 3.23/1.10 % Runner terminated.
% 3.23/1.11 % Zipperpin 1.5 exiting
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