TSTP Solution File: SET125-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET125-6 : 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.Pj721Npm4x true
% Computer : n015.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 16:12:56 EDT 2023
% Result : Unsatisfiable 2.05s 0.86s
% Output : Refutation 2.05s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Pj721Npm4x true
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Aug 26 14:38:38 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.15/0.56 % Total configuration time : 435
% 0.15/0.56 % Estimated wc time : 1092
% 0.15/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.05/0.86 % Solved by fo/fo1_lcnf.sh.
% 2.05/0.86 % done 141 iterations in 0.116s
% 2.05/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.05/0.86 % SZS output start Refutation
% 2.05/0.86 thf(universal_class_type, type, universal_class: $i).
% 2.05/0.86 thf(union_type, type, union: $i > $i > $i).
% 2.05/0.86 thf(member_type, type, member: $i > $i > $o).
% 2.05/0.86 thf(complement_type, type, complement: $i > $i).
% 2.05/0.86 thf(set_builder_type, type, set_builder: $i > $i > $i).
% 2.05/0.86 thf(x_type, type, x: $i).
% 2.05/0.86 thf(singleton_type, type, singleton: $i > $i).
% 2.05/0.86 thf(intersection_type, type, intersection: $i > $i > $i).
% 2.05/0.86 thf(subclass_type, type, subclass: $i > $i > $o).
% 2.05/0.86 thf(y_type, type, y: $i).
% 2.05/0.86 thf(z_type, type, z: $i).
% 2.05/0.86 thf(definition_of_set_builder, axiom,
% 2.05/0.86 (( union @ ( singleton @ X ) @ Y ) = ( set_builder @ X @ Y ))).
% 2.05/0.86 thf(zip_derived_cl91, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 ((union @ (singleton @ X0) @ X1) = (set_builder @ X0 @ X1))),
% 2.05/0.86 inference('cnf', [status(esa)], [definition_of_set_builder])).
% 2.05/0.86 thf(union, axiom,
% 2.05/0.86 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 2.05/0.86 ( union @ X @ Y ))).
% 2.05/0.86 thf(zip_derived_cl25, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 2.05/0.86 = (union @ X0 @ X1))),
% 2.05/0.86 inference('cnf', [status(esa)], [union])).
% 2.05/0.86 thf(prove_set_builder_alternate_defn3_1, conjecture, (~( member @ x @ z ))).
% 2.05/0.86 thf(zf_stmt_0, negated_conjecture, (member @ x @ z),
% 2.05/0.86 inference('cnf.neg', [status(esa)], [prove_set_builder_alternate_defn3_1])).
% 2.05/0.86 thf(zip_derived_cl92, plain, ( (member @ x @ z)),
% 2.05/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.05/0.86 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 2.05/0.86 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 2.05/0.86 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 2.05/0.86 thf(subclass_members, axiom,
% 2.05/0.86 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 2.05/0.86 thf(zip_derived_cl0, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.05/0.86 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 2.05/0.86 (member @ X2 @ X1)))),
% 2.05/0.86 inference('cnf', [status(esa)], [subclass_members])).
% 2.05/0.86 thf(zip_derived_cl94, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.05/0.86 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 2.05/0.86 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 2.05/0.86 thf(zip_derived_cl95, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 2.05/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl94])).
% 2.05/0.86 thf(zip_derived_cl99, plain, ( (member @ x @ universal_class)),
% 2.05/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl95])).
% 2.05/0.86 thf(complement2, axiom,
% 2.05/0.86 (( ~( member @ Z @ universal_class ) ) |
% 2.05/0.86 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 2.05/0.86 thf(zip_derived_cl24, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 (((((~) @ (member @ X0 @ universal_class))) |
% 2.05/0.86 (member @ X0 @ (complement @ X1)) | (member @ X0 @ X1)))),
% 2.05/0.86 inference('cnf', [status(esa)], [complement2])).
% 2.05/0.86 thf(zip_derived_cl376, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 (~ (member @ X0 @ universal_class)
% 2.05/0.86 | (member @ X0 @ (complement @ X1))
% 2.05/0.86 | (member @ X0 @ X1))),
% 2.05/0.86 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 2.05/0.86 thf(zip_derived_cl388, plain,
% 2.05/0.86 (![X0 : $i]: ( (member @ x @ (complement @ X0)) | (member @ x @ X0))),
% 2.05/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl376])).
% 2.05/0.86 thf(zip_derived_cl392, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 ( (member @ x @ (union @ X1 @ X0))
% 2.05/0.86 | (member @ x @
% 2.05/0.86 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 2.05/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl388])).
% 2.05/0.86 thf(intersection2, axiom,
% 2.05/0.86 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 2.05/0.86 thf(zip_derived_cl21, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.05/0.86 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 2.05/0.86 X0 @ X2)))),
% 2.05/0.86 inference('cnf', [status(esa)], [intersection2])).
% 2.05/0.86 thf(zip_derived_cl256, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.05/0.86 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 2.05/0.86 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])).
% 2.05/0.86 thf(zip_derived_cl460, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 ( (member @ x @ (union @ X1 @ X0)) | (member @ x @ (complement @ X0)))),
% 2.05/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl392, zip_derived_cl256])).
% 2.05/0.86 thf(zip_derived_cl505, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 ( (member @ x @ (set_builder @ X1 @ X0))
% 2.05/0.86 | (member @ x @ (complement @ X0)))),
% 2.05/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl460])).
% 2.05/0.86 thf(prove_set_builder_alternate_defn3_2, conjecture,
% 2.05/0.86 (member @ x @ ( set_builder @ y @ z ))).
% 2.05/0.86 thf(zf_stmt_1, negated_conjecture,
% 2.05/0.86 (~( member @ x @ ( set_builder @ y @ z ) )),
% 2.05/0.86 inference('cnf.neg', [status(esa)], [prove_set_builder_alternate_defn3_2])).
% 2.05/0.86 thf(zip_derived_cl93, plain, (~ (member @ x @ (set_builder @ y @ z))),
% 2.05/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.05/0.86 thf(zip_derived_cl508, plain, ( (member @ x @ (complement @ z))),
% 2.05/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl93])).
% 2.05/0.86 thf(complement1, axiom,
% 2.05/0.86 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 2.05/0.86 thf(zip_derived_cl23, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 (((((~) @ (member @ X0 @ (complement @ X1)))) |
% 2.05/0.86 (((~) @ (member @ X0 @ X1)))))),
% 2.05/0.86 inference('cnf', [status(esa)], [complement1])).
% 2.05/0.86 thf(zip_derived_cl198, plain,
% 2.05/0.86 (![X0 : $i, X1 : $i]:
% 2.05/0.86 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 2.05/0.86 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 2.05/0.86 thf(zip_derived_cl511, plain, (~ (member @ x @ z)),
% 2.05/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl508, zip_derived_cl198])).
% 2.05/0.86 thf(zip_derived_cl92, plain, ( (member @ x @ z)),
% 2.05/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.05/0.86 thf(zip_derived_cl512, plain, ($false),
% 2.05/0.86 inference('demod', [status(thm)], [zip_derived_cl511, zip_derived_cl92])).
% 2.05/0.86
% 2.05/0.86 % SZS output end Refutation
% 2.05/0.86
% 2.05/0.86
% 2.05/0.86 % Terminating...
% 2.67/0.98 % Runner terminated.
% 2.67/0.98 % Zipperpin 1.5 exiting
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