%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET442-6 : 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.aJhDZDfkHk true
% Computer : n020.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 04:52:06 PM UTC 2025
% Result : Unsatisfiable 138.97s 20.41s
% Output : Refutation 138.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET442-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aJhDZDfkHk true
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 13:15:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.83/0.61 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/0.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.83/0.62 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.62 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.83/0.62 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.63 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.04/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 138.97/20.41 % Solved by fo/fo1_lcnf.sh.
% 138.97/20.41 % done 8199 iterations in 19.717s
% 138.97/20.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 138.97/20.41 % SZS output start Refutation
% 138.97/20.41 thf(universal_class_type, type, universal_class: $i).
% 138.97/20.41 thf(member_type, type, member: $i > $i > $o).
% 138.97/20.41 thf(xf_type, type, xf: $i).
% 138.97/20.41 thf(intersection_type, type, intersection: $i > $i > $i).
% 138.97/20.41 thf(subclass_type, type, subclass: $i > $i > $o).
% 138.97/20.41 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 138.97/20.41 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 138.97/20.41 thf(function_type, type, function: $i > $o).
% 138.97/20.41 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 138.97/20.41 thf(not_subclass_members1, axiom,
% 138.97/20.41 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 138.97/20.41 thf(zip_derived_cl1, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (((member @ (not_subclass_element @ X0 @ X1) @ X0) | (subclass @
% 138.97/20.41 X0 @ X1)))),
% 138.97/20.41 inference('cnf', [status(esa)], [not_subclass_members1])).
% 138.97/20.41 thf(zip_derived_cl123, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 138.97/20.41 | (subclass @ X0 @ X1))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 138.97/20.41 thf(prove_restrict_a_function_1, conjecture, (~( function @ xf ))).
% 138.97/20.41 thf(zf_stmt_0, negated_conjecture, (function @ xf),
% 138.97/20.41 inference('cnf.neg', [status(esa)], [prove_restrict_a_function_1])).
% 138.97/20.41 thf(zip_derived_cl112, plain, ( (function @ xf)),
% 138.97/20.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 138.97/20.41 thf(zip_derived_cl123, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 138.97/20.41 | (subclass @ X0 @ X1))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 138.97/20.41 thf(function1, axiom,
% 138.97/20.41 (( ~( function @ Xf ) ) |
% 138.97/20.41 ( subclass @ Xf @ ( cross_product @ universal_class @ universal_class ) ))).
% 138.97/20.41 thf(zip_derived_cl61, plain,
% 138.97/20.41 (![X0 : $i]:
% 138.97/20.41 (((((~) @ (function @ X0))) | (subclass @ X0 @
% 138.97/20.41 (cross_product @ universal_class @ universal_class))))),
% 138.97/20.41 inference('cnf', [status(esa)], [function1])).
% 138.97/20.41 thf(zip_derived_cl304, plain,
% 138.97/20.41 (![X0 : $i]:
% 138.97/20.41 (~ (function @ X0)
% 138.97/20.41 | (subclass @ X0 @
% 138.97/20.41 (cross_product @ universal_class @ universal_class)))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl61])).
% 138.97/20.41 thf(subclass_members, axiom,
% 138.97/20.41 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 138.97/20.41 thf(zip_derived_cl0, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 138.97/20.41 (member @ X2 @ X1)))),
% 138.97/20.41 inference('cnf', [status(esa)], [subclass_members])).
% 138.97/20.41 thf(zip_derived_cl114, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 138.97/20.41 thf(zip_derived_cl305, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (~ (function @ X0)
% 138.97/20.41 | ~ (member @ X1 @ X0)
% 138.97/20.41 | (member @ X1 @ (cross_product @ universal_class @ universal_class)))),
% 138.97/20.41 inference('s_sup-', [status(thm)], [zip_derived_cl304, zip_derived_cl114])).
% 138.97/20.41 thf(zip_derived_cl2134, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 ( (subclass @ X0 @ X1)
% 138.97/20.41 | ~ (function @ X0)
% 138.97/20.41 | (member @ (not_subclass_element @ X0 @ X1) @
% 138.97/20.41 (cross_product @ universal_class @ universal_class)))),
% 138.97/20.41 inference('s_sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl305])).
% 138.97/20.41 thf(zip_derived_cl169408, plain,
% 138.97/20.41 (![X0 : $i]:
% 138.97/20.41 ( (subclass @ xf @ X0)
% 138.97/20.41 | (member @ (not_subclass_element @ xf @ X0) @
% 138.97/20.41 (cross_product @ universal_class @ universal_class)))),
% 138.97/20.41 inference('s_sup-', [status(thm)],
% 138.97/20.41 [zip_derived_cl112, zip_derived_cl2134])).
% 138.97/20.41 thf(intersection3, axiom,
% 138.97/20.41 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 138.97/20.41 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 138.97/20.41 thf(zip_derived_cl22, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (((((~) @ (member @ X0 @ X1))) | (((~) @ (member @ X0 @ X2))) |
% 138.97/20.41 (member @ X0 @ (intersection @ X1 @ X2))))),
% 138.97/20.41 inference('cnf', [status(esa)], [intersection3])).
% 138.97/20.41 thf(zip_derived_cl455, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (~ (member @ X0 @ X1)
% 138.97/20.41 | ~ (member @ X0 @ X2)
% 138.97/20.41 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])).
% 138.97/20.41 thf(not_subclass_members2, axiom,
% 138.97/20.41 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 138.97/20.41 ( subclass @ X @ Y ))).
% 138.97/20.41 thf(zip_derived_cl2, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (((((~) @ (member @ (not_subclass_element @ X0 @ X1) @ X1))) |
% 138.97/20.41 (subclass @ X0 @ X1)))),
% 138.97/20.41 inference('cnf', [status(esa)], [not_subclass_members2])).
% 138.97/20.41 thf(zip_derived_cl136, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 138.97/20.41 | (subclass @ X0 @ X1))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 138.97/20.41 thf(zip_derived_cl459, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @
% 138.97/20.41 X0)
% 138.97/20.41 | ~ (member @
% 138.97/20.41 (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 138.97/20.41 | (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 138.97/20.41 inference('s_sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl136])).
% 138.97/20.41 thf(zip_derived_cl169416, plain,
% 138.97/20.41 (![X0 : $i]:
% 138.97/20.41 ( (subclass @ xf @
% 138.97/20.41 (intersection @ X0 @
% 138.97/20.41 (cross_product @ universal_class @ universal_class)))
% 138.97/20.41 | ~ (member @
% 138.97/20.41 (not_subclass_element @ xf @
% 138.97/20.41 (intersection @ X0 @
% 138.97/20.41 (cross_product @ universal_class @ universal_class))) @
% 138.97/20.41 X0)
% 138.97/20.41 | (subclass @ xf @
% 138.97/20.41 (intersection @ X0 @
% 138.97/20.41 (cross_product @ universal_class @ universal_class))))),
% 138.97/20.41 inference('s_sup-', [status(thm)],
% 138.97/20.41 [zip_derived_cl169408, zip_derived_cl459])).
% 138.97/20.41 thf(restriction1, axiom,
% 138.97/20.41 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 138.97/20.41 ( restrict @ Xr @ X @ Y ))).
% 138.97/20.41 thf(zip_derived_cl27, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 138.97/20.41 = (restrict @ X0 @ X1 @ X2))),
% 138.97/20.41 inference('cnf', [status(esa)], [restriction1])).
% 138.97/20.41 thf(zip_derived_cl27, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 138.97/20.41 = (restrict @ X0 @ X1 @ X2))),
% 138.97/20.41 inference('cnf', [status(esa)], [restriction1])).
% 138.97/20.41 thf(zip_derived_cl27, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 138.97/20.41 = (restrict @ X0 @ X1 @ X2))),
% 138.97/20.41 inference('cnf', [status(esa)], [restriction1])).
% 138.97/20.41 thf(zip_derived_cl169418, plain,
% 138.97/20.41 (![X0 : $i]:
% 138.97/20.41 ( (subclass @ xf @ (restrict @ X0 @ universal_class @ universal_class))
% 138.97/20.41 | ~ (member @
% 138.97/20.41 (not_subclass_element @ xf @
% 138.97/20.41 (restrict @ X0 @ universal_class @ universal_class)) @
% 138.97/20.41 X0)
% 138.97/20.41 | (subclass @ xf @
% 138.97/20.41 (restrict @ X0 @ universal_class @ universal_class)))),
% 138.97/20.41 inference('demod', [status(thm)],
% 138.97/20.41 [zip_derived_cl169416, zip_derived_cl27, zip_derived_cl27,
% 138.97/20.41 zip_derived_cl27])).
% 138.97/20.41 thf(zip_derived_cl169419, plain,
% 138.97/20.41 (![X0 : $i]:
% 138.97/20.41 (~ (member @
% 138.97/20.41 (not_subclass_element @ xf @
% 138.97/20.41 (restrict @ X0 @ universal_class @ universal_class)) @
% 138.97/20.41 X0)
% 138.97/20.41 | (subclass @ xf @
% 138.97/20.41 (restrict @ X0 @ universal_class @ universal_class)))),
% 138.97/20.41 inference('simplify', [status(thm)], [zip_derived_cl169418])).
% 138.97/20.41 thf(zip_derived_cl175112, plain,
% 138.97/20.41 (( (subclass @ xf @ (restrict @ xf @ universal_class @ universal_class))
% 138.97/20.41 | (subclass @ xf @ (restrict @ xf @ universal_class @ universal_class)))),
% 138.97/20.41 inference('s_sup-', [status(thm)],
% 138.97/20.41 [zip_derived_cl123, zip_derived_cl169419])).
% 138.97/20.41 thf(zip_derived_cl175127, plain,
% 138.97/20.41 ( (subclass @ xf @ (restrict @ xf @ universal_class @ universal_class))),
% 138.97/20.41 inference('simplify', [status(thm)], [zip_derived_cl175112])).
% 138.97/20.41 thf(subclass_implies_equal, axiom,
% 138.97/20.41 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 138.97/20.41 thf(zip_derived_cl6, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (subclass @ X1 @ X0))) |
% 138.97/20.41 (((X0) = (X1)))))),
% 138.97/20.41 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 138.97/20.41 thf(zip_derived_cl153, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | (((X0) = (X1))))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 138.97/20.41 thf(zip_derived_cl154, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 138.97/20.41 inference('simplify nested equalities', [status(thm)],
% 138.97/20.41 [zip_derived_cl153])).
% 138.97/20.41 thf(zip_derived_cl175141, plain,
% 138.97/20.41 ((~ (subclass @ (restrict @ xf @ universal_class @ universal_class) @ xf)
% 138.97/20.41 | ((xf) = (restrict @ xf @ universal_class @ universal_class)))),
% 138.97/20.41 inference('s_sup-', [status(thm)],
% 138.97/20.41 [zip_derived_cl175127, zip_derived_cl154])).
% 138.97/20.41 thf(zip_derived_cl27, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 138.97/20.41 = (restrict @ X0 @ X1 @ X2))),
% 138.97/20.41 inference('cnf', [status(esa)], [restriction1])).
% 138.97/20.41 thf(intersection1, axiom,
% 138.97/20.41 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 138.97/20.41 thf(zip_derived_cl20, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 138.97/20.41 X0 @ X1)))),
% 138.97/20.41 inference('cnf', [status(esa)], [intersection1])).
% 138.97/20.41 thf(zip_derived_cl262, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])).
% 138.97/20.41 thf(zip_derived_cl123, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 138.97/20.41 | (subclass @ X0 @ X1))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 138.97/20.41 thf(zip_derived_cl263, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 ( (member @ (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @
% 138.97/20.41 X1)
% 138.97/20.41 | (subclass @ (intersection @ X1 @ X0) @ X2))),
% 138.97/20.41 inference('s_sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl123])).
% 138.97/20.41 thf(zip_derived_cl136, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 138.97/20.41 | (subclass @ X0 @ X1))),
% 138.97/20.41 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 138.97/20.41 thf(zip_derived_cl2260, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]:
% 138.97/20.41 ( (subclass @ (intersection @ X0 @ X1) @ X0)
% 138.97/20.41 | (subclass @ (intersection @ X0 @ X1) @ X0))),
% 138.97/20.41 inference('s_sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl136])).
% 138.97/20.41 thf(zip_derived_cl2281, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ X0 @ X1) @ X0)),
% 138.97/20.41 inference('simplify', [status(thm)], [zip_derived_cl2260])).
% 138.97/20.41 thf(zip_derived_cl3445, plain,
% 138.97/20.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.97/20.41 (subclass @ (restrict @ X2 @ X1 @ X0) @ X2)),
% 138.97/20.41 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl2281])).
% 138.97/20.41 thf(zip_derived_cl175142, plain,
% 138.97/20.41 (((xf) = (restrict @ xf @ universal_class @ universal_class))),
% 138.97/20.41 inference('demod', [status(thm)],
% 138.97/20.41 [zip_derived_cl175141, zip_derived_cl3445])).
% 138.97/20.41 thf(prove_restrict_a_function_2, conjecture,
% 138.97/20.41 (( restrict @ xf @ universal_class @ universal_class ) = ( xf ))).
% 138.97/20.41 thf(zf_stmt_1, negated_conjecture,
% 138.97/20.41 (( restrict @ xf @ universal_class @ universal_class ) != ( xf )),
% 138.97/20.41 inference('cnf.neg', [status(esa)], [prove_restrict_a_function_2])).
% 138.97/20.41 thf(zip_derived_cl113, plain,
% 138.97/20.41 (((restrict @ xf @ universal_class @ universal_class) != (xf))),
% 138.97/20.41 inference('cnf', [status(esa)], [zf_stmt_1])).
% 138.97/20.41 thf(zip_derived_cl175143, plain, ($false),
% 138.97/20.41 inference('simplify_reflect-', [status(thm)],
% 138.97/20.41 [zip_derived_cl175142, zip_derived_cl113])).
% 138.97/20.41
% 138.97/20.41 % SZS output end Refutation
% 138.97/20.41
% 138.97/20.41
% 138.97/20.41 % Terminating...
% 138.97/20.50 % Runner terminated.
% 138.97/20.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------