%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET411-6 : 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.dKHnXf87lI true
% Computer : n026.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 04:52:05 PM UTC 2025
% Result : Unsatisfiable 0.49s 0.80s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET411-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dKHnXf87lI true
% 0.10/0.31 % Computer : n026.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 13:00:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.47/0.60 % Total configuration time : 435
% 0.47/0.60 % Estimated wc time : 1092
% 0.47/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.80 % Solved by fo/fo6_bce.sh.
% 0.49/0.80 % BCE start: 114
% 0.49/0.80 % BCE eliminated: 1
% 0.49/0.80 % PE start: 113
% 0.49/0.80 logic: eq
% 0.49/0.80 % PE eliminated: 19
% 0.49/0.80 % done 79 iterations in 0.082s
% 0.49/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.80 % SZS output start Refutation
% 0.49/0.80 thf(universal_class_type, type, universal_class: $i).
% 0.49/0.80 thf(member_type, type, member: $i > $i > $o).
% 0.49/0.80 thf(x_type, type, x: $i).
% 0.49/0.80 thf(singleton_relation_type, type, singleton_relation: $i).
% 0.49/0.80 thf(complement_type, type, complement: $i > $i).
% 0.49/0.80 thf(identity_relation_type, type, identity_relation: $i).
% 0.49/0.80 thf(compose_type, type, compose: $i > $i > $i).
% 0.49/0.80 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.49/0.80 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.49/0.80 thf(element_relation_type, type, element_relation: $i).
% 0.49/0.80 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.49/0.80 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.49/0.80 thf(y_type, type, y: $i).
% 0.49/0.80 thf(prove_compose_condition_for_singleton_membership1_2, conjecture,
% 0.49/0.80 (member @ x @ universal_class)).
% 0.49/0.80 thf(zf_stmt_0, negated_conjecture, (~( member @ x @ universal_class )),
% 0.49/0.80 inference('cnf.neg', [status(esa)],
% 0.49/0.80 [prove_compose_condition_for_singleton_membership1_2])).
% 0.49/0.80 thf(zip_derived_cl113, plain, (~ (member @ x @ universal_class)),
% 0.49/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.80 thf(prove_compose_condition_for_singleton_membership1_1, conjecture,
% 0.49/0.80 (~( member @ ( ordered_pair @ x @ y ) @ singleton_relation ))).
% 0.49/0.80 thf(zf_stmt_1, negated_conjecture,
% 0.49/0.80 (member @ ( ordered_pair @ x @ y ) @ singleton_relation),
% 0.49/0.80 inference('cnf.neg', [status(esa)],
% 0.49/0.80 [prove_compose_condition_for_singleton_membership1_1])).
% 0.49/0.80 thf(zip_derived_cl112, plain,
% 0.49/0.80 ( (member @ (ordered_pair @ x @ y) @ singleton_relation)),
% 0.49/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.80 thf(compose_can_define_singleton, axiom,
% 0.49/0.80 (( intersection @
% 0.49/0.80 ( complement @
% 0.49/0.80 ( compose @ element_relation @ ( complement @ identity_relation ) ) ) @
% 0.49/0.80 element_relation ) =
% 0.49/0.80 ( singleton_relation ))).
% 0.49/0.80 thf(zip_derived_cl103, plain,
% 0.49/0.80 (((intersection @
% 0.49/0.80 (complement @
% 0.49/0.80 (compose @ element_relation @ (complement @ identity_relation))) @
% 0.49/0.80 element_relation) = (singleton_relation))),
% 0.49/0.80 inference('cnf', [status(esa)], [compose_can_define_singleton])).
% 0.49/0.80 thf(intersection2, axiom,
% 0.49/0.80 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 0.49/0.80 thf(zip_derived_cl21, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.80 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 0.49/0.80 inference('cnf', [status(esa)], [intersection2])).
% 0.49/0.80 thf(zip_derived_cl599, plain,
% 0.49/0.80 (![X0 : $i]:
% 0.49/0.80 (~ (member @ X0 @ singleton_relation)
% 0.49/0.80 | (member @ X0 @ element_relation))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl21])).
% 0.49/0.80 thf(zip_derived_cl608, plain,
% 0.49/0.80 ( (member @ (ordered_pair @ x @ y) @ element_relation)),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl599])).
% 0.49/0.80 thf(element_relation1, axiom,
% 0.49/0.80 (subclass @
% 0.49/0.80 element_relation @ ( cross_product @ universal_class @ universal_class ))).
% 0.49/0.80 thf(zip_derived_cl17, plain,
% 0.49/0.80 ( (subclass @ element_relation @
% 0.49/0.80 (cross_product @ universal_class @ universal_class))),
% 0.49/0.80 inference('cnf', [status(esa)], [element_relation1])).
% 0.49/0.80 thf(subclass_members, axiom,
% 0.49/0.80 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.49/0.80 thf(zip_derived_cl0, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.80 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.49/0.80 inference('cnf', [status(esa)], [subclass_members])).
% 0.49/0.80 thf(zip_derived_cl515, plain,
% 0.49/0.80 (![X0 : $i]:
% 0.49/0.80 (~ (member @ X0 @ element_relation)
% 0.49/0.80 | (member @ X0 @ (cross_product @ universal_class @ universal_class)))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.49/0.80 thf(cartesian_product1, axiom,
% 0.49/0.80 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.49/0.80 ( member @ U @ X ))).
% 0.49/0.80 thf(zip_derived_cl13, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.80 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.49/0.80 | (member @ X0 @ X2))),
% 0.49/0.80 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.49/0.80 thf(zip_derived_cl558, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i]:
% 0.49/0.80 (~ (member @ (ordered_pair @ X1 @ X0) @ element_relation)
% 0.49/0.80 | (member @ X1 @ universal_class))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl13])).
% 0.49/0.80 thf(zip_derived_cl611, plain, ( (member @ x @ universal_class)),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl608, zip_derived_cl558])).
% 0.49/0.80 thf(zip_derived_cl614, plain, ($false),
% 0.49/0.80 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl611])).
% 0.49/0.80
% 0.49/0.80 % SZS output end Refutation
% 0.49/0.80
% 0.49/0.80
% 0.49/0.80 % Terminating...
% 0.55/0.91 % Runner terminated.
% 1.71/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------