TSTP Solution File: SET510-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET510-6 : 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.QybkHDn5I7 true
% Computer : n016.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 16:14:27 EDT 2023
% Result : Unsatisfiable 1.98s 0.92s
% Output : Refutation 1.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET510-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QybkHDn5I7 true
% 0.18/0.34 % Computer : n016.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sat Aug 26 14:20:12 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Running portfolio for 300 s
% 0.18/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /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 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.98/0.92 % Solved by fo/fo13.sh.
% 1.98/0.92 % done 211 iterations in 0.155s
% 1.98/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.98/0.92 % SZS output start Refutation
% 1.98/0.92 thf(universal_class_type, type, universal_class: $i).
% 1.98/0.92 thf(null_class_type, type, null_class: $i).
% 1.98/0.92 thf(member_type, type, member: $i > $i > $o).
% 1.98/0.92 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.98/0.92 thf(complement_type, type, complement: $i > $i).
% 1.98/0.92 thf(singleton_type, type, singleton: $i > $i).
% 1.98/0.92 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.98/0.92 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.98/0.92 thf(regular_type, type, regular: $i > $i).
% 1.98/0.92 thf(regularity1, axiom,
% 1.98/0.92 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.98/0.92 thf(zip_derived_cl65, plain,
% 1.98/0.92 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.98/0.92 inference('cnf', [status(esa)], [regularity1])).
% 1.98/0.92 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.98/0.92 thf(zip_derived_cl11, plain,
% 1.98/0.92 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.98/0.92 inference('cnf', [status(esa)], [singleton_set])).
% 1.98/0.92 thf(unordered_pair_member, axiom,
% 1.98/0.92 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.98/0.92 ( ( U ) = ( Y ) ))).
% 1.98/0.92 thf(zip_derived_cl7, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/0.92 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.98/0.92 | ((X0) = (X1))
% 1.98/0.92 | ((X0) = (X2)))),
% 1.98/0.92 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.98/0.92 thf(zip_derived_cl155, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 1.98/0.92 thf(zip_derived_cl156, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.98/0.92 inference('simplify', [status(thm)], [zip_derived_cl155])).
% 1.98/0.92 thf(zip_derived_cl168, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((singleton @ X0) = (null_class))
% 1.98/0.92 | ((regular @ (singleton @ X0)) = (X0)))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl156])).
% 1.98/0.92 thf(regularity2, axiom,
% 1.98/0.92 (( ( X ) = ( null_class ) ) |
% 1.98/0.92 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 1.98/0.92 thf(zip_derived_cl66, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((X0) = (null_class))
% 1.98/0.92 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 1.98/0.92 inference('cnf', [status(esa)], [regularity2])).
% 1.98/0.92 thf(zip_derived_cl170, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((singleton @ X0) = (null_class))
% 1.98/0.92 | ((singleton @ X0) = (null_class))
% 1.98/0.92 | ((intersection @ (singleton @ X0) @ X0) = (null_class)))),
% 1.98/0.92 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl66])).
% 1.98/0.92 thf(zip_derived_cl172, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((intersection @ (singleton @ X0) @ X0) = (null_class))
% 1.98/0.92 | ((singleton @ X0) = (null_class)))),
% 1.98/0.92 inference('simplify', [status(thm)], [zip_derived_cl170])).
% 1.98/0.92 thf(zip_derived_cl11, plain,
% 1.98/0.92 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.98/0.92 inference('cnf', [status(esa)], [singleton_set])).
% 1.98/0.92 thf(zip_derived_cl168, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((singleton @ X0) = (null_class))
% 1.98/0.92 | ((regular @ (singleton @ X0)) = (X0)))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl156])).
% 1.98/0.92 thf(zip_derived_cl65, plain,
% 1.98/0.92 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.98/0.92 inference('cnf', [status(esa)], [regularity1])).
% 1.98/0.92 thf(zip_derived_cl169, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((singleton @ X0) = (null_class))
% 1.98/0.92 | ((singleton @ X0) = (null_class))
% 1.98/0.92 | (member @ X0 @ (singleton @ X0)))),
% 1.98/0.92 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl65])).
% 1.98/0.92 thf(zip_derived_cl171, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 ( (member @ X0 @ (singleton @ X0)) | ((singleton @ X0) = (null_class)))),
% 1.98/0.92 inference('simplify', [status(thm)], [zip_derived_cl169])).
% 1.98/0.92 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.98/0.92 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.98/0.92 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.98/0.92 thf(subclass_members, axiom,
% 1.98/0.92 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.98/0.92 thf(zip_derived_cl0, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/0.92 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.98/0.92 inference('cnf', [status(esa)], [subclass_members])).
% 1.98/0.92 thf(zip_derived_cl128, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.98/0.92 thf(zip_derived_cl301, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((singleton @ X0) = (null_class)) | (member @ X0 @ universal_class))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl128])).
% 1.98/0.92 thf(prove_corollary_to_singleton_is_null_class_1, conjecture,
% 1.98/0.92 (( singleton @ universal_class ) = ( null_class ))).
% 1.98/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.98/0.92 (( singleton @ universal_class ) != ( null_class )),
% 1.98/0.92 inference('cnf.neg', [status(esa)],
% 1.98/0.92 [prove_corollary_to_singleton_is_null_class_1])).
% 1.98/0.92 thf(zip_derived_cl112, plain,
% 1.98/0.92 (((singleton @ universal_class) != (null_class))),
% 1.98/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.98/0.92 thf(zip_derived_cl403, plain,
% 1.98/0.92 (( (member @ universal_class @ universal_class)
% 1.98/0.92 | ((null_class) != (null_class)))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl112])).
% 1.98/0.92 thf(zip_derived_cl412, plain,
% 1.98/0.92 ( (member @ universal_class @ universal_class)),
% 1.98/0.92 inference('simplify', [status(thm)], [zip_derived_cl403])).
% 1.98/0.92 thf(unordered_pair2, axiom,
% 1.98/0.92 (( ~( member @ X @ universal_class ) ) |
% 1.98/0.92 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.98/0.92 thf(zip_derived_cl8, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (~ (member @ X0 @ universal_class)
% 1.98/0.92 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.98/0.92 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.98/0.92 thf(zip_derived_cl424, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (member @ universal_class @ (unordered_pair @ universal_class @ X0))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl8])).
% 1.98/0.92 thf(zip_derived_cl457, plain,
% 1.98/0.92 ( (member @ universal_class @ (singleton @ universal_class))),
% 1.98/0.92 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl424])).
% 1.98/0.92 thf(intersection3, axiom,
% 1.98/0.92 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 1.98/0.92 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 1.98/0.92 thf(zip_derived_cl22, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.98/0.92 (~ (member @ X0 @ X1)
% 1.98/0.92 | ~ (member @ X0 @ X2)
% 1.98/0.92 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 1.98/0.92 inference('cnf', [status(esa)], [intersection3])).
% 1.98/0.92 thf(zip_derived_cl459, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (~ (member @ universal_class @ X0)
% 1.98/0.92 | (member @ universal_class @
% 1.98/0.92 (intersection @ (singleton @ universal_class) @ X0)))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl22])).
% 1.98/0.92 thf(zip_derived_cl811, plain,
% 1.98/0.92 ((((singleton @ universal_class) = (null_class))
% 1.98/0.92 | ~ (member @ universal_class @ universal_class)
% 1.98/0.92 | (member @ universal_class @ null_class))),
% 1.98/0.92 inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl459])).
% 1.98/0.92 thf(zip_derived_cl412, plain,
% 1.98/0.92 ( (member @ universal_class @ universal_class)),
% 1.98/0.92 inference('simplify', [status(thm)], [zip_derived_cl403])).
% 1.98/0.92 thf(zip_derived_cl65, plain,
% 1.98/0.92 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.98/0.92 inference('cnf', [status(esa)], [regularity1])).
% 1.98/0.92 thf(zip_derived_cl65, plain,
% 1.98/0.92 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.98/0.92 inference('cnf', [status(esa)], [regularity1])).
% 1.98/0.92 thf(complement1, axiom,
% 1.98/0.92 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.98/0.92 thf(zip_derived_cl23, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.98/0.92 inference('cnf', [status(esa)], [complement1])).
% 1.98/0.92 thf(zip_derived_cl149, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((complement @ X0) = (null_class))
% 1.98/0.92 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 1.98/0.92 thf(zip_derived_cl128, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.98/0.92 thf(zip_derived_cl318, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (((complement @ universal_class) = (null_class))
% 1.98/0.92 | ~ (member @ (regular @ (complement @ universal_class)) @ X0))),
% 1.98/0.92 inference('s_sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl128])).
% 1.98/0.92 thf(zip_derived_cl629, plain,
% 1.98/0.92 ((((complement @ universal_class) = (null_class))
% 1.98/0.92 | ((complement @ universal_class) = (null_class)))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl318])).
% 1.98/0.92 thf(zip_derived_cl630, plain,
% 1.98/0.92 (((complement @ universal_class) = (null_class))),
% 1.98/0.92 inference('simplify', [status(thm)], [zip_derived_cl629])).
% 1.98/0.92 thf(zip_derived_cl23, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.98/0.92 inference('cnf', [status(esa)], [complement1])).
% 1.98/0.92 thf(zip_derived_cl632, plain,
% 1.98/0.92 (![X0 : $i]:
% 1.98/0.92 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl630, zip_derived_cl23])).
% 1.98/0.92 thf(zip_derived_cl128, plain,
% 1.98/0.92 (![X0 : $i, X1 : $i]:
% 1.98/0.92 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.98/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.98/0.92 thf(zip_derived_cl657, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.98/0.92 inference('clc', [status(thm)], [zip_derived_cl632, zip_derived_cl128])).
% 1.98/0.92 thf(zip_derived_cl816, plain,
% 1.98/0.92 (((singleton @ universal_class) = (null_class))),
% 1.98/0.92 inference('demod', [status(thm)],
% 1.98/0.92 [zip_derived_cl811, zip_derived_cl412, zip_derived_cl657])).
% 1.98/0.92 thf(zip_derived_cl112, plain,
% 1.98/0.92 (((singleton @ universal_class) != (null_class))),
% 1.98/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.98/0.92 thf(zip_derived_cl817, plain, ($false),
% 1.98/0.92 inference('simplify_reflect-', [status(thm)],
% 1.98/0.92 [zip_derived_cl816, zip_derived_cl112])).
% 1.98/0.92
% 1.98/0.92 % SZS output end Refutation
% 1.98/0.92
% 1.98/0.92
% 1.98/0.92 % Terminating...
% 2.25/0.98 % Runner terminated.
% 2.25/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------