%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET244-6 : 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.CipJhhD5kL 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 Oct 2 04:51:54 PM UTC 2025
% Result : Unsatisfiable 71.42s 10.90s
% Output : Refutation 71.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET244-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CipJhhD5kL true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:19:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.95 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 71.42/10.90 % Solved by fo/fo6_bce.sh.
% 71.42/10.90 % BCE start: 113
% 71.42/10.90 % BCE eliminated: 1
% 71.42/10.90 % PE start: 112
% 71.42/10.90 logic: eq
% 71.42/10.90 % PE eliminated: 19
% 71.42/10.90 % done 2957 iterations in 10.169s
% 71.42/10.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 71.42/10.90 % SZS output start Refutation
% 71.42/10.90 thf(universal_class_type, type, universal_class: $i).
% 71.42/10.90 thf(member_type, type, member: $i > $i > $o).
% 71.42/10.90 thf(x_type, type, x: $i).
% 71.42/10.90 thf(intersection_type, type, intersection: $i > $i > $i).
% 71.42/10.90 thf(subclass_type, type, subclass: $i > $i > $o).
% 71.42/10.90 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 71.42/10.90 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 71.42/10.90 thf(y_type, type, y: $i).
% 71.42/10.90 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 71.42/10.90 thf(prove_restriction_with_universal_class_1, conjecture,
% 71.42/10.90 (( restrict @ universal_class @ x @ y ) = ( cross_product @ x @ y ))).
% 71.42/10.90 thf(zf_stmt_0, negated_conjecture,
% 71.42/10.90 (( restrict @ universal_class @ x @ y ) != ( cross_product @ x @ y )),
% 71.42/10.90 inference('cnf.neg', [status(esa)],
% 71.42/10.90 [prove_restriction_with_universal_class_1])).
% 71.42/10.90 thf(zip_derived_cl112, plain,
% 71.42/10.90 (((restrict @ universal_class @ x @ y) != (cross_product @ x @ y))),
% 71.42/10.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 71.42/10.90 thf(restriction1, axiom,
% 71.42/10.90 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 71.42/10.90 ( restrict @ Xr @ X @ Y ))).
% 71.42/10.90 thf(zip_derived_cl27, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.90 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 71.42/10.90 = (restrict @ X0 @ X1 @ X2))),
% 71.42/10.90 inference('cnf', [status(esa)], [restriction1])).
% 71.42/10.90 thf(zip_derived_cl626, plain,
% 71.42/10.90 (((intersection @ universal_class @ (cross_product @ x @ y))
% 71.42/10.90 != (cross_product @ x @ y))),
% 71.42/10.90 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl27])).
% 71.42/10.90 thf(not_subclass_members1, axiom,
% 71.42/10.90 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 71.42/10.90 thf(zip_derived_cl1, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 71.42/10.90 | (subclass @ X0 @ X1))),
% 71.42/10.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 71.42/10.90 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 71.42/10.90 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 71.42/10.90 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 71.42/10.90 thf(subclass_members, axiom,
% 71.42/10.90 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 71.42/10.90 thf(zip_derived_cl0, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.90 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 71.42/10.90 inference('cnf', [status(esa)], [subclass_members])).
% 71.42/10.90 thf(zip_derived_cl493, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 71.42/10.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 71.42/10.90 thf(zip_derived_cl554, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 ( (subclass @ X0 @ X1)
% 71.42/10.90 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 71.42/10.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl493])).
% 71.42/10.90 thf(zip_derived_cl1, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 71.42/10.90 | (subclass @ X0 @ X1))),
% 71.42/10.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 71.42/10.90 thf(intersection3, axiom,
% 71.42/10.90 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 71.42/10.90 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 71.42/10.90 thf(zip_derived_cl22, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.90 (~ (member @ X0 @ X1)
% 71.42/10.90 | ~ (member @ X0 @ X2)
% 71.42/10.90 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 71.42/10.90 inference('cnf', [status(esa)], [intersection3])).
% 71.42/10.90 thf(not_subclass_members2, axiom,
% 71.42/10.90 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 71.42/10.90 ( subclass @ X @ Y ))).
% 71.42/10.90 thf(zip_derived_cl2, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 71.42/10.90 | (subclass @ X0 @ X1))),
% 71.42/10.90 inference('cnf', [status(esa)], [not_subclass_members2])).
% 71.42/10.90 thf(zip_derived_cl576, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.90 (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @
% 71.42/10.90 X0)
% 71.42/10.90 | ~ (member @
% 71.42/10.90 (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 71.42/10.90 | (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 71.42/10.90 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 71.42/10.90 thf(zip_derived_cl1629, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 ( (subclass @ X0 @ (intersection @ X1 @ X0))
% 71.42/10.90 | ~ (member @
% 71.42/10.90 (not_subclass_element @ X0 @ (intersection @ X1 @ X0)) @ X1)
% 71.42/10.90 | (subclass @ X0 @ (intersection @ X1 @ X0)))),
% 71.42/10.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl576])).
% 71.42/10.90 thf(zip_derived_cl1651, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 (~ (member @ (not_subclass_element @ X0 @ (intersection @ X1 @ X0)) @
% 71.42/10.90 X1)
% 71.42/10.90 | (subclass @ X0 @ (intersection @ X1 @ X0)))),
% 71.42/10.90 inference('simplify', [status(thm)], [zip_derived_cl1629])).
% 71.42/10.90 thf(zip_derived_cl30910, plain,
% 71.42/10.90 (![X0 : $i]:
% 71.42/10.90 ( (subclass @ X0 @ (intersection @ universal_class @ X0))
% 71.42/10.90 | (subclass @ X0 @ (intersection @ universal_class @ X0)))),
% 71.42/10.90 inference('s_sup-', [status(thm)],
% 71.42/10.90 [zip_derived_cl554, zip_derived_cl1651])).
% 71.42/10.90 thf(zip_derived_cl31030, plain,
% 71.42/10.90 (![X0 : $i]: (subclass @ X0 @ (intersection @ universal_class @ X0))),
% 71.42/10.90 inference('simplify', [status(thm)], [zip_derived_cl30910])).
% 71.42/10.90 thf(zip_derived_cl1, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 71.42/10.90 | (subclass @ X0 @ X1))),
% 71.42/10.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 71.42/10.90 thf(intersection2, axiom,
% 71.42/10.90 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 71.42/10.90 thf(zip_derived_cl21, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.90 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 71.42/10.90 inference('cnf', [status(esa)], [intersection2])).
% 71.42/10.90 thf(zip_derived_cl569, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 71.42/10.90 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 71.42/10.90 | (member @
% 71.42/10.90 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X0))),
% 71.42/10.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 71.42/10.90 thf(zip_derived_cl2, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 71.42/10.90 | (subclass @ X0 @ X1))),
% 71.42/10.90 inference('cnf', [status(esa)], [not_subclass_members2])).
% 71.42/10.90 thf(zip_derived_cl1535, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 ( (subclass @ (intersection @ X1 @ X0) @ X0)
% 71.42/10.90 | (subclass @ (intersection @ X1 @ X0) @ X0))),
% 71.42/10.90 inference('s_sup-', [status(thm)], [zip_derived_cl569, zip_derived_cl2])).
% 71.42/10.90 thf(zip_derived_cl1560, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ X1 @ X0) @ X0)),
% 71.42/10.90 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 71.42/10.90 thf(subclass_implies_equal, axiom,
% 71.42/10.90 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 71.42/10.90 thf(zip_derived_cl6, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 71.42/10.90 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 71.42/10.90 thf(zip_derived_cl1570, plain,
% 71.42/10.90 (![X0 : $i, X1 : $i]:
% 71.42/10.90 (~ (subclass @ X0 @ (intersection @ X1 @ X0))
% 71.42/10.90 | ((intersection @ X1 @ X0) = (X0)))),
% 71.42/10.90 inference('s_sup-', [status(thm)], [zip_derived_cl1560, zip_derived_cl6])).
% 71.42/10.90 thf(zip_derived_cl31096, plain,
% 71.42/10.90 (![X0 : $i]: ((intersection @ universal_class @ X0) = (X0))),
% 71.42/10.90 inference('s_sup-', [status(thm)],
% 71.42/10.90 [zip_derived_cl31030, zip_derived_cl1570])).
% 71.42/10.90 thf(zip_derived_cl31574, plain,
% 71.42/10.90 (((cross_product @ x @ y) != (cross_product @ x @ y))),
% 71.42/10.90 inference('demod', [status(thm)],
% 71.42/10.90 [zip_derived_cl626, zip_derived_cl31096])).
% 71.42/10.90 thf(zip_derived_cl31575, plain, ($false),
% 71.42/10.90 inference('simplify', [status(thm)], [zip_derived_cl31574])).
% 71.42/10.90
% 71.42/10.90 % SZS output end Refutation
% 71.42/10.90
% 71.42/10.90
% 71.42/10.90 % Terminating...
% 71.53/10.96 % Runner terminated.
% 71.53/10.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------