%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET163-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b33XJp3Qaf true
% Computer : n009.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 04:51:44 PM UTC 2025
% Result : Unsatisfiable 4.35s 1.14s
% Output : Refutation 4.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET163-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b33XJp3Qaf true
% 0.10/0.31 % Computer : n009.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 : Wed Oct 1 12:56:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.17/0.31 % Python version: Python 3.6.8
% 0.17/0.31 % Running in FO mode
% 0.46/0.57 % Total configuration time : 435
% 0.46/0.57 % Estimated wc time : 1092
% 0.46/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.35/1.14 % Solved by fo/fo6_bce.sh.
% 4.35/1.14 % BCE start: 113
% 4.35/1.14 % BCE eliminated: 1
% 4.35/1.14 % PE start: 112
% 4.35/1.14 logic: eq
% 4.35/1.14 % PE eliminated: 19
% 4.35/1.14 % done 324 iterations in 0.443s
% 4.35/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.35/1.14 % SZS output start Refutation
% 4.35/1.14 thf(universal_class_type, type, universal_class: $i).
% 4.35/1.14 thf(union_type, type, union: $i > $i > $i).
% 4.35/1.14 thf(null_class_type, type, null_class: $i).
% 4.35/1.14 thf(member_type, type, member: $i > $i > $o).
% 4.35/1.14 thf(x_type, type, x: $i).
% 4.35/1.14 thf(complement_type, type, complement: $i > $i).
% 4.35/1.14 thf(intersection_type, type, intersection: $i > $i > $i).
% 4.35/1.14 thf(subclass_type, type, subclass: $i > $i > $o).
% 4.35/1.14 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 4.35/1.14 thf(regular_type, type, regular: $i > $i).
% 4.35/1.14 thf(complement2, axiom,
% 4.35/1.14 (( ~( member @ Z @ universal_class ) ) |
% 4.35/1.14 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 4.35/1.14 thf(zip_derived_cl24, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ X0 @ universal_class)
% 4.35/1.14 | (member @ X0 @ (complement @ X1))
% 4.35/1.14 | (member @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [complement2])).
% 4.35/1.14 thf(not_subclass_members2, axiom,
% 4.35/1.14 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 4.35/1.14 ( subclass @ X @ Y ))).
% 4.35/1.14 thf(zip_derived_cl2, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 4.35/1.14 | (subclass @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [not_subclass_members2])).
% 4.35/1.14 thf(zip_derived_cl584, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ( (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0)
% 4.35/1.14 | ~ (member @ (not_subclass_element @ X1 @ (complement @ X0)) @
% 4.35/1.14 universal_class)
% 4.35/1.14 | (subclass @ X1 @ (complement @ X0)))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 4.35/1.14 thf(not_subclass_members1, axiom,
% 4.35/1.14 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 4.35/1.14 thf(zip_derived_cl1, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 4.35/1.14 | (subclass @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [not_subclass_members1])).
% 4.35/1.14 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 4.35/1.14 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 4.35/1.14 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 4.35/1.14 thf(subclass_members, axiom,
% 4.35/1.14 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 4.35/1.14 thf(zip_derived_cl0, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.14 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [subclass_members])).
% 4.35/1.14 thf(zip_derived_cl492, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 4.35/1.14 thf(zip_derived_cl525, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ( (subclass @ X0 @ X1)
% 4.35/1.14 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl492])).
% 4.35/1.14 thf(zip_derived_cl1778, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ( (subclass @ X1 @ (complement @ X0))
% 4.35/1.14 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 4.35/1.14 inference('clc', [status(thm)], [zip_derived_cl584, zip_derived_cl525])).
% 4.35/1.14 thf(regularity1, axiom,
% 4.35/1.14 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 4.35/1.14 thf(zip_derived_cl65, plain,
% 4.35/1.14 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 4.35/1.14 inference('cnf', [status(esa)], [regularity1])).
% 4.35/1.14 thf(zip_derived_cl492, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 4.35/1.14 thf(zip_derived_cl675, plain,
% 4.35/1.14 (![X0 : $i]:
% 4.35/1.14 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl492])).
% 4.35/1.14 thf(zip_derived_cl65, plain,
% 4.35/1.14 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 4.35/1.14 inference('cnf', [status(esa)], [regularity1])).
% 4.35/1.14 thf(complement1, axiom,
% 4.35/1.14 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 4.35/1.14 thf(zip_derived_cl23, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [complement1])).
% 4.35/1.14 thf(zip_derived_cl681, plain,
% 4.35/1.14 (![X0 : $i]:
% 4.35/1.14 (((complement @ X0) = (null_class))
% 4.35/1.14 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 4.35/1.14 thf(zip_derived_cl737, plain,
% 4.35/1.14 ((((complement @ universal_class) = (null_class))
% 4.35/1.14 | ((complement @ universal_class) = (null_class)))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl681])).
% 4.35/1.14 thf(zip_derived_cl740, plain,
% 4.35/1.14 (((complement @ universal_class) = (null_class))),
% 4.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl737])).
% 4.35/1.14 thf(zip_derived_cl23, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [complement1])).
% 4.35/1.14 thf(zip_derived_cl741, plain,
% 4.35/1.14 (![X0 : $i]:
% 4.35/1.14 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl740, zip_derived_cl23])).
% 4.35/1.14 thf(zip_derived_cl492, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 4.35/1.14 thf(zip_derived_cl748, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 4.35/1.14 inference('clc', [status(thm)], [zip_derived_cl741, zip_derived_cl492])).
% 4.35/1.14 thf(zip_derived_cl1794, plain,
% 4.35/1.14 (![X0 : $i]: (subclass @ X0 @ (complement @ null_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)],
% 4.35/1.14 [zip_derived_cl1778, zip_derived_cl748])).
% 4.35/1.14 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 4.35/1.14 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 4.35/1.14 thf(subclass_implies_equal, axiom,
% 4.35/1.14 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 4.35/1.14 thf(zip_derived_cl6, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 4.35/1.14 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 4.35/1.14 thf(zip_derived_cl502, plain,
% 4.35/1.14 (![X0 : $i]:
% 4.35/1.14 (~ (subclass @ universal_class @ X0) | ((X0) = (universal_class)))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 4.35/1.14 thf(zip_derived_cl1828, plain,
% 4.35/1.14 (((complement @ null_class) = (universal_class))),
% 4.35/1.14 inference('s_sup-', [status(thm)],
% 4.35/1.14 [zip_derived_cl1794, zip_derived_cl502])).
% 4.35/1.14 thf(prove_union_with_universal_class_1, conjecture,
% 4.35/1.14 (( union @ universal_class @ x ) = ( universal_class ))).
% 4.35/1.14 thf(zf_stmt_0, negated_conjecture,
% 4.35/1.14 (( union @ universal_class @ x ) != ( universal_class )),
% 4.35/1.14 inference('cnf.neg', [status(esa)], [prove_union_with_universal_class_1])).
% 4.35/1.14 thf(zip_derived_cl112, plain,
% 4.35/1.14 (((union @ universal_class @ x) != (universal_class))),
% 4.35/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.35/1.14 thf(zip_derived_cl740, plain,
% 4.35/1.14 (((complement @ universal_class) = (null_class))),
% 4.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl737])).
% 4.35/1.14 thf(union, axiom,
% 4.35/1.14 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 4.35/1.14 ( union @ X @ Y ))).
% 4.35/1.14 thf(zip_derived_cl25, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 4.35/1.14 = (union @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [union])).
% 4.35/1.14 thf(zip_derived_cl744, plain,
% 4.35/1.14 (![X0 : $i]:
% 4.35/1.14 ((complement @ (intersection @ null_class @ (complement @ X0)))
% 4.35/1.14 = (union @ universal_class @ X0))),
% 4.35/1.14 inference('s_sup+', [status(thm)], [zip_derived_cl740, zip_derived_cl25])).
% 4.35/1.14 thf(zip_derived_cl1, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 4.35/1.14 | (subclass @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [not_subclass_members1])).
% 4.35/1.14 thf(intersection1, axiom,
% 4.35/1.14 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 4.35/1.14 thf(zip_derived_cl20, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.14 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [intersection1])).
% 4.35/1.14 thf(zip_derived_cl549, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.35/1.14 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 4.35/1.14 | (member @
% 4.35/1.14 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 4.35/1.14 thf(zip_derived_cl2, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 4.35/1.14 | (subclass @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [not_subclass_members2])).
% 4.35/1.14 thf(zip_derived_cl1342, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ( (subclass @ (intersection @ X0 @ X1) @ X0)
% 4.35/1.14 | (subclass @ (intersection @ X0 @ X1) @ X0))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl549, zip_derived_cl2])).
% 4.35/1.14 thf(zip_derived_cl1355, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ X0 @ X1) @ X0)),
% 4.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl1342])).
% 4.35/1.14 thf(zip_derived_cl1, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 4.35/1.14 | (subclass @ X0 @ X1))),
% 4.35/1.14 inference('cnf', [status(esa)], [not_subclass_members1])).
% 4.35/1.14 thf(zip_derived_cl748, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 4.35/1.14 inference('clc', [status(thm)], [zip_derived_cl741, zip_derived_cl492])).
% 4.35/1.14 thf(zip_derived_cl749, plain, (![X0 : $i]: (subclass @ null_class @ X0)),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl748])).
% 4.35/1.14 thf(zip_derived_cl6, plain,
% 4.35/1.14 (![X0 : $i, X1 : $i]:
% 4.35/1.14 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 4.35/1.14 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 4.35/1.14 thf(zip_derived_cl761, plain,
% 4.35/1.14 (![X0 : $i]: (~ (subclass @ X0 @ null_class) | ((null_class) = (X0)))),
% 4.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl749, zip_derived_cl6])).
% 4.35/1.14 thf(zip_derived_cl1383, plain,
% 4.35/1.14 (![X0 : $i]: ((null_class) = (intersection @ null_class @ X0))),
% 4.35/1.14 inference('s_sup-', [status(thm)],
% 4.35/1.14 [zip_derived_cl1355, zip_derived_cl761])).
% 4.35/1.14 thf(zip_derived_cl1409, plain,
% 4.35/1.14 (![X0 : $i]: ((complement @ null_class) = (union @ universal_class @ X0))),
% 4.35/1.14 inference('demod', [status(thm)], [zip_derived_cl744, zip_derived_cl1383])).
% 4.35/1.14 thf(zip_derived_cl1434, plain,
% 4.35/1.14 (((complement @ null_class) != (universal_class))),
% 4.35/1.14 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl1409])).
% 4.35/1.14 thf(zip_derived_cl1830, plain, ($false),
% 4.35/1.14 inference('simplify_reflect-', [status(thm)],
% 4.35/1.14 [zip_derived_cl1828, zip_derived_cl1434])).
% 4.35/1.14
% 4.35/1.14 % SZS output end Refutation
% 4.35/1.14
% 4.35/1.14
% 4.35/1.14 % Terminating...
% 4.35/1.19 % Runner terminated.
% 4.35/1.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------