%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM042-1 : 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.dKRt9KFP29 true
% Computer : n012.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 04:45:49 PM UTC 2025
% Result : Unsatisfiable 0.51s 0.96s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUM042-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dKRt9KFP29 true
% 0.13/0.34 % Computer : n012.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 16:33:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.47/0.61 % Total configuration time : 435
% 0.47/0.61 % Estimated wc time : 1092
% 0.47/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.51/0.96 % Solved by fo/fo13.sh.
% 0.51/0.96 % done 217 iterations in 0.212s
% 0.51/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.96 % SZS output start Refutation
% 0.51/0.96 thf(domain_of_type, type, domain_of: $i > $i).
% 0.51/0.96 thf(member_type, type, member: $i > $i > $o).
% 0.51/0.96 thf(complement_type, type, complement: $i > $i).
% 0.51/0.96 thf(identity_relation_type, type, identity_relation: $i).
% 0.51/0.96 thf(x_type, type, x: $i).
% 0.51/0.96 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.51/0.96 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.51/0.96 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 0.51/0.96 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.51/0.96 thf(irreflexive_type, type, irreflexive: $i > $i > $o).
% 0.51/0.96 thf(symmetrization_of_type, type, symmetrization_of: $i > $i).
% 0.51/0.96 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.51/0.96 thf(prove_irreflexive_class_property4_2, conjecture,
% 0.51/0.96 (irreflexive @ x @ ( domain_of @ ( symmetrization_of @ x ) ))).
% 0.51/0.96 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.96 (~( irreflexive @ x @ ( domain_of @ ( symmetrization_of @ x ) ) )),
% 0.51/0.96 inference('cnf.neg', [status(esa)], [prove_irreflexive_class_property4_2])).
% 0.51/0.96 thf(zip_derived_cl159, plain,
% 0.51/0.96 (~ (irreflexive @ x @ (domain_of @ (symmetrization_of @ x)))),
% 0.51/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.96 thf(irreflexive2, axiom,
% 0.51/0.96 (( ~( subclass @
% 0.51/0.96 ( restrict @ X @ Y @ Y ) @ ( complement @ identity_relation ) ) ) |
% 0.51/0.96 ( irreflexive @ X @ Y ))).
% 0.51/0.96 thf(zip_derived_cl114, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 (~ (subclass @ (restrict @ X0 @ X1 @ X1) @
% 0.51/0.96 (complement @ identity_relation))
% 0.51/0.96 | (irreflexive @ X0 @ X1))),
% 0.51/0.96 inference('cnf', [status(esa)], [irreflexive2])).
% 0.51/0.96 thf(zip_derived_cl367, plain,
% 0.51/0.96 (~ (subclass @
% 0.51/0.96 (restrict @ x @ (domain_of @ (symmetrization_of @ x)) @
% 0.51/0.96 (domain_of @ (symmetrization_of @ x))) @
% 0.51/0.96 (complement @ identity_relation))),
% 0.51/0.96 inference('s_sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl114])).
% 0.51/0.96 thf(restriction2, axiom,
% 0.51/0.96 (( intersection @ ( cross_product @ X @ Y ) @ Xr ) =
% 0.51/0.96 ( restrict @ Xr @ X @ Y ))).
% 0.51/0.96 thf(zip_derived_cl28, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 ((intersection @ (cross_product @ X1 @ X2) @ X0)
% 0.51/0.96 = (restrict @ X0 @ X1 @ X2))),
% 0.51/0.96 inference('cnf', [status(esa)], [restriction2])).
% 0.51/0.96 thf(zip_derived_cl367, plain,
% 0.51/0.96 (~ (subclass @
% 0.51/0.96 (restrict @ x @ (domain_of @ (symmetrization_of @ x)) @
% 0.51/0.96 (domain_of @ (symmetrization_of @ x))) @
% 0.51/0.96 (complement @ identity_relation))),
% 0.51/0.96 inference('s_sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl114])).
% 0.51/0.96 thf(not_subclass_members2, axiom,
% 0.51/0.96 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 0.51/0.96 ( subclass @ X @ Y ))).
% 0.51/0.96 thf(zip_derived_cl2, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.51/0.96 | (subclass @ X0 @ X1))),
% 0.51/0.96 inference('cnf', [status(esa)], [not_subclass_members2])).
% 0.51/0.96 thf(zip_derived_cl372, plain,
% 0.51/0.96 (~ (member @
% 0.51/0.96 (not_subclass_element @
% 0.51/0.96 (restrict @ x @ (domain_of @ (symmetrization_of @ x)) @
% 0.51/0.96 (domain_of @ (symmetrization_of @ x))) @
% 0.51/0.96 (complement @ identity_relation)) @
% 0.51/0.96 (complement @ identity_relation))),
% 0.51/0.96 inference('s_sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl2])).
% 0.51/0.96 thf(prove_irreflexive_class_property4_1, conjecture,
% 0.51/0.96 (~( subclass @ x @ ( complement @ identity_relation ) ))).
% 0.51/0.96 thf(zf_stmt_1, negated_conjecture,
% 0.51/0.96 (subclass @ x @ ( complement @ identity_relation )),
% 0.51/0.96 inference('cnf.neg', [status(esa)], [prove_irreflexive_class_property4_1])).
% 0.51/0.96 thf(zip_derived_cl158, plain,
% 0.51/0.96 ( (subclass @ x @ (complement @ identity_relation))),
% 0.51/0.96 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.96 thf(subclass_members, axiom,
% 0.51/0.96 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.51/0.96 thf(zip_derived_cl0, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.51/0.96 inference('cnf', [status(esa)], [subclass_members])).
% 0.51/0.96 thf(zip_derived_cl176, plain,
% 0.51/0.96 (![X0 : $i]:
% 0.51/0.96 (~ (member @ X0 @ x)
% 0.51/0.96 | (member @ X0 @ (complement @ identity_relation)))),
% 0.51/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl0])).
% 0.51/0.96 thf(zip_derived_cl381, plain,
% 0.51/0.96 (~ (member @
% 0.51/0.96 (not_subclass_element @
% 0.51/0.96 (restrict @ x @ (domain_of @ (symmetrization_of @ x)) @
% 0.51/0.96 (domain_of @ (symmetrization_of @ x))) @
% 0.51/0.96 (complement @ identity_relation)) @
% 0.51/0.96 x)),
% 0.51/0.96 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl176])).
% 0.51/0.96 thf(intersection2, axiom,
% 0.51/0.96 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 0.51/0.96 thf(zip_derived_cl21, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.96 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 0.51/0.96 inference('cnf', [status(esa)], [intersection2])).
% 0.51/0.96 thf(zip_derived_cl384, plain,
% 0.51/0.96 (![X0 : $i]:
% 0.51/0.96 ~ (member @
% 0.51/0.96 (not_subclass_element @
% 0.51/0.96 (restrict @ x @ (domain_of @ (symmetrization_of @ x)) @
% 0.51/0.96 (domain_of @ (symmetrization_of @ x))) @
% 0.51/0.96 (complement @ identity_relation)) @
% 0.51/0.96 (intersection @ X0 @ x))),
% 0.51/0.96 inference('s_sup+', [status(thm)], [zip_derived_cl381, zip_derived_cl21])).
% 0.51/0.96 thf(zip_derived_cl475, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 ~ (member @
% 0.51/0.96 (not_subclass_element @
% 0.51/0.96 (restrict @ x @ (domain_of @ (symmetrization_of @ x)) @
% 0.51/0.96 (domain_of @ (symmetrization_of @ x))) @
% 0.51/0.96 (complement @ identity_relation)) @
% 0.51/0.96 (restrict @ x @ X1 @ X0))),
% 0.51/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl384])).
% 0.51/0.96 thf(not_subclass_members1, axiom,
% 0.51/0.96 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.51/0.96 thf(zip_derived_cl1, plain,
% 0.51/0.96 (![X0 : $i, X1 : $i]:
% 0.51/0.96 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.51/0.96 | (subclass @ X0 @ X1))),
% 0.51/0.96 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.51/0.96 thf(zip_derived_cl736, plain,
% 0.51/0.96 ( (subclass @
% 0.51/0.96 (restrict @ x @ (domain_of @ (symmetrization_of @ x)) @
% 0.51/0.96 (domain_of @ (symmetrization_of @ x))) @
% 0.51/0.96 (complement @ identity_relation))),
% 0.51/0.96 inference('s_sup+', [status(thm)], [zip_derived_cl475, zip_derived_cl1])).
% 0.51/0.96 thf(zip_derived_cl738, plain, ($false),
% 0.51/0.96 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl736])).
% 0.51/0.96
% 0.51/0.96 % SZS output end Refutation
% 0.51/0.96
% 0.51/0.96
% 0.51/0.96 % Terminating...
% 1.70/1.08 % Runner terminated.
% 1.74/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------