TSTP Solution File: SET080-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET080-6 : 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.gxMiWExpNd true
% Computer : n022.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 16:12:30 EDT 2023
% Result : Unsatisfiable 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gxMiWExpNd true
% 0.14/0.35 % Computer : n022.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
% 0.21/0.35 % CPULimit : 300
% 0.21/0.35 % WCLimit : 300
% 0.21/0.35 % DateTime : Sat Aug 26 12:00:55 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % Solved by fo/fo6_bce.sh.
% 0.21/0.75 % BCE start: 92
% 0.21/0.75 % BCE eliminated: 0
% 0.21/0.75 % PE start: 92
% 0.21/0.75 logic: eq
% 0.21/0.75 % PE eliminated: 16
% 0.21/0.75 % done 28 iterations in 0.029s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% 0.21/0.75 thf(universal_class_type, type, universal_class: $i).
% 0.21/0.75 thf(null_class_type, type, null_class: $i).
% 0.21/0.75 thf(member_type, type, member: $i > $i > $o).
% 0.21/0.75 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.21/0.75 thf(singleton_type, type, singleton: $i > $i).
% 0.21/0.75 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.21/0.75 thf(inductive_type, type, inductive: $i > $o).
% 0.21/0.75 thf(omega_type, type, omega: $i).
% 0.21/0.75 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.21/0.75 thf(zip_derived_cl11, plain,
% 0.21/0.75 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.21/0.75 inference('cnf', [status(esa)], [singleton_set])).
% 0.21/0.75 thf(unordered_pair2, axiom,
% 0.21/0.75 (( ~( member @ X @ universal_class ) ) |
% 0.21/0.75 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.21/0.75 thf(zip_derived_cl8, plain,
% 0.21/0.75 (![X0 : $i, X1 : $i]:
% 0.21/0.75 (~ (member @ X0 @ universal_class)
% 0.21/0.75 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.21/0.75 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.21/0.75 thf(zip_derived_cl451, plain,
% 0.21/0.75 (![X0 : $i]:
% 0.21/0.75 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 0.21/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 0.21/0.75 thf(prove_null_class_in_its_singleton_1, conjecture,
% 0.21/0.75 (member @ null_class @ ( singleton @ null_class ))).
% 0.21/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.21/0.75 (~( member @ null_class @ ( singleton @ null_class ) )),
% 0.21/0.75 inference('cnf.neg', [status(esa)], [prove_null_class_in_its_singleton_1])).
% 0.21/0.75 thf(zip_derived_cl91, plain,
% 0.21/0.75 (~ (member @ null_class @ (singleton @ null_class))),
% 0.21/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.75 thf(zip_derived_cl456, plain, (~ (member @ null_class @ universal_class)),
% 0.21/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl451, zip_derived_cl91])).
% 0.21/0.75 thf(omega_is_inductive1, axiom, (inductive @ omega)).
% 0.21/0.75 thf(zip_derived_cl49, plain, ( (inductive @ omega)),
% 0.21/0.75 inference('cnf', [status(esa)], [omega_is_inductive1])).
% 0.21/0.75 thf(inductive1, axiom,
% 0.21/0.75 (( ~( inductive @ X ) ) | ( member @ null_class @ X ))).
% 0.21/0.75 thf(zip_derived_cl46, plain,
% 0.21/0.75 (![X0 : $i]: (~ (inductive @ X0) | (member @ null_class @ X0))),
% 0.21/0.75 inference('cnf', [status(esa)], [inductive1])).
% 0.21/0.75 thf(zip_derived_cl396, plain, ( (member @ null_class @ omega)),
% 0.21/0.75 inference('dp-resolution', [status(thm)],
% 0.21/0.75 [zip_derived_cl49, zip_derived_cl46])).
% 0.21/0.75 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.21/0.75 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.21/0.75 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.21/0.75 thf(subclass_members, axiom,
% 0.21/0.75 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.21/0.75 thf(zip_derived_cl0, plain,
% 0.21/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.75 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.21/0.75 inference('cnf', [status(esa)], [subclass_members])).
% 0.21/0.75 thf(zip_derived_cl418, plain,
% 0.21/0.75 (![X0 : $i, X1 : $i]:
% 0.21/0.75 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.21/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.21/0.75 thf(zip_derived_cl421, plain, ( (member @ null_class @ universal_class)),
% 0.21/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl396, zip_derived_cl418])).
% 0.21/0.75 thf(zip_derived_cl457, plain, ($false),
% 0.21/0.75 inference('demod', [status(thm)], [zip_derived_cl456, zip_derived_cl421])).
% 0.21/0.75
% 0.21/0.75 % SZS output end Refutation
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.52/0.86 % Runner terminated.
% 1.67/0.87 % Zipperpin 1.5 exiting
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