%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET510-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mJDWqADD80 true
% Computer : n029.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 Oct 2 04:52:11 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.93s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET510-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mJDWqADD80 true
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 13:08:23 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.57/0.93 % Solved by fo/fo13.sh.
% 0.57/0.93 % done 211 iterations in 0.177s
% 0.57/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.93 % SZS output start Refutation
% 0.57/0.93 thf(universal_class_type, type, universal_class: $i).
% 0.57/0.93 thf(null_class_type, type, null_class: $i).
% 0.57/0.93 thf(member_type, type, member: $i > $i > $o).
% 0.57/0.93 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.57/0.93 thf(complement_type, type, complement: $i > $i).
% 0.57/0.93 thf(singleton_type, type, singleton: $i > $i).
% 0.57/0.93 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.57/0.93 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.57/0.93 thf(regular_type, type, regular: $i > $i).
% 0.57/0.93 thf(regularity1, axiom,
% 0.57/0.93 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 0.57/0.93 thf(zip_derived_cl65, plain,
% 0.57/0.93 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.57/0.93 inference('cnf', [status(esa)], [regularity1])).
% 0.57/0.93 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.57/0.93 thf(zip_derived_cl11, plain,
% 0.57/0.93 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.57/0.93 inference('cnf', [status(esa)], [singleton_set])).
% 0.57/0.93 thf(unordered_pair_member, axiom,
% 0.57/0.93 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.57/0.93 ( ( U ) = ( Y ) ))).
% 0.57/0.93 thf(zip_derived_cl7, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.93 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.57/0.93 | ((X0) = (X1))
% 0.57/0.93 | ((X0) = (X2)))),
% 0.57/0.93 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.57/0.93 thf(zip_derived_cl155, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 0.57/0.93 thf(zip_derived_cl156, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.57/0.93 inference('simplify', [status(thm)], [zip_derived_cl155])).
% 0.57/0.93 thf(zip_derived_cl168, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((singleton @ X0) = (null_class))
% 0.57/0.93 | ((regular @ (singleton @ X0)) = (X0)))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl156])).
% 0.57/0.93 thf(regularity2, axiom,
% 0.57/0.93 (( ( X ) = ( null_class ) ) |
% 0.57/0.93 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 0.57/0.93 thf(zip_derived_cl66, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((X0) = (null_class))
% 0.57/0.93 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 0.57/0.93 inference('cnf', [status(esa)], [regularity2])).
% 0.57/0.93 thf(zip_derived_cl170, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((singleton @ X0) = (null_class))
% 0.57/0.93 | ((singleton @ X0) = (null_class))
% 0.57/0.93 | ((intersection @ (singleton @ X0) @ X0) = (null_class)))),
% 0.57/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl66])).
% 0.57/0.93 thf(zip_derived_cl172, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((intersection @ (singleton @ X0) @ X0) = (null_class))
% 0.57/0.93 | ((singleton @ X0) = (null_class)))),
% 0.57/0.93 inference('simplify', [status(thm)], [zip_derived_cl170])).
% 0.57/0.93 thf(zip_derived_cl11, plain,
% 0.57/0.93 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.57/0.93 inference('cnf', [status(esa)], [singleton_set])).
% 0.57/0.93 thf(zip_derived_cl168, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((singleton @ X0) = (null_class))
% 0.57/0.93 | ((regular @ (singleton @ X0)) = (X0)))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl156])).
% 0.57/0.93 thf(zip_derived_cl65, plain,
% 0.57/0.93 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.57/0.93 inference('cnf', [status(esa)], [regularity1])).
% 0.57/0.93 thf(zip_derived_cl169, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((singleton @ X0) = (null_class))
% 0.57/0.93 | ((singleton @ X0) = (null_class))
% 0.57/0.93 | (member @ X0 @ (singleton @ X0)))),
% 0.57/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl65])).
% 0.57/0.93 thf(zip_derived_cl171, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 ( (member @ X0 @ (singleton @ X0)) | ((singleton @ X0) = (null_class)))),
% 0.57/0.93 inference('simplify', [status(thm)], [zip_derived_cl169])).
% 0.57/0.93 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.57/0.93 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.57/0.93 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.57/0.93 thf(subclass_members, axiom,
% 0.57/0.93 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.57/0.93 thf(zip_derived_cl0, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.93 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.57/0.93 inference('cnf', [status(esa)], [subclass_members])).
% 0.57/0.93 thf(zip_derived_cl128, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.57/0.93 thf(zip_derived_cl301, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((singleton @ X0) = (null_class)) | (member @ X0 @ universal_class))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl128])).
% 0.57/0.93 thf(prove_corollary_to_singleton_is_null_class_1, conjecture,
% 0.57/0.93 (( singleton @ universal_class ) = ( null_class ))).
% 0.57/0.93 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.93 (( singleton @ universal_class ) != ( null_class )),
% 0.57/0.93 inference('cnf.neg', [status(esa)],
% 0.57/0.93 [prove_corollary_to_singleton_is_null_class_1])).
% 0.57/0.93 thf(zip_derived_cl112, plain,
% 0.57/0.93 (((singleton @ universal_class) != (null_class))),
% 0.57/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.93 thf(zip_derived_cl403, plain,
% 0.57/0.93 (( (member @ universal_class @ universal_class)
% 0.57/0.93 | ((null_class) != (null_class)))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl112])).
% 0.57/0.93 thf(zip_derived_cl412, plain,
% 0.57/0.93 ( (member @ universal_class @ universal_class)),
% 0.57/0.93 inference('simplify', [status(thm)], [zip_derived_cl403])).
% 0.57/0.93 thf(unordered_pair2, axiom,
% 0.57/0.93 (( ~( member @ X @ universal_class ) ) |
% 0.57/0.93 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.57/0.93 thf(zip_derived_cl8, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (~ (member @ X0 @ universal_class)
% 0.57/0.93 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.57/0.93 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.57/0.93 thf(zip_derived_cl424, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (member @ universal_class @ (unordered_pair @ universal_class @ X0))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl8])).
% 0.57/0.93 thf(zip_derived_cl457, plain,
% 0.57/0.93 ( (member @ universal_class @ (singleton @ universal_class))),
% 0.57/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl424])).
% 0.57/0.93 thf(intersection3, axiom,
% 0.57/0.93 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 0.57/0.93 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 0.57/0.93 thf(zip_derived_cl22, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.93 (~ (member @ X0 @ X1)
% 0.57/0.93 | ~ (member @ X0 @ X2)
% 0.57/0.93 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 0.57/0.93 inference('cnf', [status(esa)], [intersection3])).
% 0.57/0.93 thf(zip_derived_cl459, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (~ (member @ universal_class @ X0)
% 0.57/0.93 | (member @ universal_class @
% 0.57/0.93 (intersection @ (singleton @ universal_class) @ X0)))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl22])).
% 0.57/0.93 thf(zip_derived_cl811, plain,
% 0.57/0.93 ((((singleton @ universal_class) = (null_class))
% 0.57/0.93 | ~ (member @ universal_class @ universal_class)
% 0.57/0.93 | (member @ universal_class @ null_class))),
% 0.57/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl459])).
% 0.57/0.93 thf(zip_derived_cl412, plain,
% 0.57/0.93 ( (member @ universal_class @ universal_class)),
% 0.57/0.93 inference('simplify', [status(thm)], [zip_derived_cl403])).
% 0.57/0.93 thf(zip_derived_cl65, plain,
% 0.57/0.93 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.57/0.93 inference('cnf', [status(esa)], [regularity1])).
% 0.57/0.93 thf(zip_derived_cl65, plain,
% 0.57/0.93 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.57/0.93 inference('cnf', [status(esa)], [regularity1])).
% 0.57/0.93 thf(complement1, axiom,
% 0.57/0.93 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.57/0.93 thf(zip_derived_cl23, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.57/0.93 inference('cnf', [status(esa)], [complement1])).
% 0.57/0.93 thf(zip_derived_cl149, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((complement @ X0) = (null_class))
% 0.57/0.93 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 0.57/0.93 thf(zip_derived_cl128, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.57/0.93 thf(zip_derived_cl318, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (((complement @ universal_class) = (null_class))
% 0.57/0.93 | ~ (member @ (regular @ (complement @ universal_class)) @ X0))),
% 0.57/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl128])).
% 0.57/0.93 thf(zip_derived_cl629, plain,
% 0.57/0.93 ((((complement @ universal_class) = (null_class))
% 0.57/0.93 | ((complement @ universal_class) = (null_class)))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl318])).
% 0.57/0.93 thf(zip_derived_cl630, plain,
% 0.57/0.93 (((complement @ universal_class) = (null_class))),
% 0.57/0.93 inference('simplify', [status(thm)], [zip_derived_cl629])).
% 0.57/0.93 thf(zip_derived_cl23, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.57/0.93 inference('cnf', [status(esa)], [complement1])).
% 0.57/0.93 thf(zip_derived_cl632, plain,
% 0.57/0.93 (![X0 : $i]:
% 0.57/0.93 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl630, zip_derived_cl23])).
% 0.57/0.93 thf(zip_derived_cl128, plain,
% 0.57/0.93 (![X0 : $i, X1 : $i]:
% 0.57/0.93 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.57/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.57/0.93 thf(zip_derived_cl657, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.57/0.93 inference('clc', [status(thm)], [zip_derived_cl632, zip_derived_cl128])).
% 0.57/0.93 thf(zip_derived_cl816, plain,
% 0.57/0.93 (((singleton @ universal_class) = (null_class))),
% 0.57/0.93 inference('demod', [status(thm)],
% 0.57/0.93 [zip_derived_cl811, zip_derived_cl412, zip_derived_cl657])).
% 0.57/0.93 thf(zip_derived_cl112, plain,
% 0.57/0.93 (((singleton @ universal_class) != (null_class))),
% 0.57/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.93 thf(zip_derived_cl817, plain, ($false),
% 0.57/0.93 inference('simplify_reflect-', [status(thm)],
% 0.57/0.93 [zip_derived_cl816, zip_derived_cl112])).
% 0.57/0.93
% 0.57/0.93 % SZS output end Refutation
% 0.57/0.93
% 0.57/0.93
% 0.57/0.93 % Terminating...
% 1.48/1.05 % Runner terminated.
% 1.48/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------