TSTP Solution File: SET235-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET235-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K5svQTEELv true
% Computer : n031.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 Aug 31 16:13:32 EDT 2023
% Result : Unsatisfiable 1.26s 0.79s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET235-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K5svQTEELv true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:30:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.79 % Solved by fo/fo3_bce.sh.
% 1.26/0.79 % BCE start: 43
% 1.26/0.79 % BCE eliminated: 0
% 1.26/0.79 % PE start: 43
% 1.26/0.79 logic: eq
% 1.26/0.79 % PE eliminated: 10
% 1.26/0.79 % done 68 iterations in 0.036s
% 1.26/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.79 % SZS output start Refutation
% 1.26/0.79 thf(universal_class_type, type, universal_class: $i).
% 1.26/0.79 thf(member_type, type, member: $i > $i > $o).
% 1.26/0.79 thf(second_type, type, second: $i > $i).
% 1.26/0.79 thf(x_type, type, x: $i).
% 1.26/0.79 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.26/0.79 thf(singleton_type, type, singleton: $i > $i).
% 1.26/0.79 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.26/0.79 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.26/0.79 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.26/0.79 thf(first_type, type, first: $i > $i).
% 1.26/0.79 thf(y_type, type, y: $i).
% 1.26/0.79 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.26/0.79 thf(prove_cross_product_property10_3, conjecture, (subclass @ x @ y)).
% 1.26/0.79 thf(zf_stmt_0, negated_conjecture, (~( subclass @ x @ y )),
% 1.26/0.79 inference('cnf.neg', [status(esa)], [prove_cross_product_property10_3])).
% 1.26/0.79 thf(zip_derived_cl40, plain, (~ (subclass @ x @ y)),
% 1.26/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.26/0.79 thf(prove_cross_product_property10_1, conjecture,
% 1.26/0.79 (~( subclass @ x @ ( cross_product @ universal_class @ universal_class ) ))).
% 1.26/0.79 thf(zf_stmt_1, negated_conjecture,
% 1.26/0.79 (subclass @ x @ ( cross_product @ universal_class @ universal_class )),
% 1.26/0.79 inference('cnf.neg', [status(esa)], [prove_cross_product_property10_1])).
% 1.26/0.79 thf(zip_derived_cl42, plain,
% 1.26/0.79 ( (subclass @ x @ (cross_product @ universal_class @ universal_class))),
% 1.26/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.26/0.79 thf(subclass_members, axiom,
% 1.26/0.79 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.26/0.79 thf(zip_derived_cl0, plain,
% 1.26/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.79 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.26/0.79 inference('cnf', [status(esa)], [subclass_members])).
% 1.26/0.79 thf(zip_derived_cl172, plain,
% 1.26/0.79 (![X0 : $i]:
% 1.26/0.79 ( (member @ X0 @ (cross_product @ universal_class @ universal_class))
% 1.26/0.79 | ~ (member @ X0 @ x))),
% 1.26/0.79 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.26/0.79 thf(cartesian_product4, axiom,
% 1.26/0.79 (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) |
% 1.26/0.79 ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 1.26/0.79 thf(zip_derived_cl12, plain,
% 1.26/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.26/0.79 (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 1.26/0.79 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 1.26/0.79 inference('cnf', [status(esa)], [cartesian_product4])).
% 1.26/0.79 thf(zip_derived_cl215, plain,
% 1.26/0.79 (![X0 : $i]:
% 1.26/0.79 (~ (member @ X0 @ x)
% 1.26/0.79 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 1.26/0.79 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl12])).
% 1.26/0.79 thf(ordered_pair, axiom,
% 1.26/0.79 (( unordered_pair @
% 1.26/0.79 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 1.26/0.79 ( ordered_pair @ X @ Y ))).
% 1.26/0.79 thf(zip_derived_cl8, plain,
% 1.26/0.79 (![X0 : $i, X1 : $i]:
% 1.26/0.79 ((unordered_pair @ (singleton @ X0) @
% 1.26/0.79 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.26/0.79 inference('cnf', [status(esa)], [ordered_pair])).
% 1.26/0.79 thf(zip_derived_cl219, plain,
% 1.26/0.79 (![X0 : $i]:
% 1.26/0.79 (((unordered_pair @ (singleton @ (first @ X0)) @
% 1.26/0.79 (unordered_pair @ (first @ X0) @ (singleton @ (second @ X0))))
% 1.26/0.79 = (X0))
% 1.26/0.79 | ~ (member @ X0 @ x))),
% 1.26/0.79 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl8])).
% 1.26/0.79 thf(prove_cross_product_property10_2, conjecture,
% 1.26/0.79 (member @
% 1.26/0.79 ( ordered_pair @
% 1.26/0.79 ( first @ ( not_subclass_element @ x @ y ) ) @
% 1.26/0.79 ( second @ ( not_subclass_element @ x @ y ) ) ) @
% 1.26/0.79 x)).
% 1.26/0.79 thf(zf_stmt_2, negated_conjecture,
% 1.26/0.79 (~( member @
% 1.26/0.79 ( ordered_pair @
% 1.26/0.79 ( first @ ( not_subclass_element @ x @ y ) ) @
% 1.26/0.79 ( second @ ( not_subclass_element @ x @ y ) ) ) @
% 1.26/0.79 x )),
% 1.26/0.79 inference('cnf.neg', [status(esa)], [prove_cross_product_property10_2])).
% 1.26/0.79 thf(zip_derived_cl41, plain,
% 1.26/0.79 (~ (member @
% 1.26/0.79 (ordered_pair @ (first @ (not_subclass_element @ x @ y)) @
% 1.26/0.79 (second @ (not_subclass_element @ x @ y))) @
% 1.26/0.79 x)),
% 1.26/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.26/0.79 thf(zip_derived_cl8, plain,
% 1.26/0.79 (![X0 : $i, X1 : $i]:
% 1.26/0.79 ((unordered_pair @ (singleton @ X0) @
% 1.26/0.79 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.26/0.79 inference('cnf', [status(esa)], [ordered_pair])).
% 1.26/0.79 thf(zip_derived_cl208, plain,
% 1.26/0.79 (~ (member @
% 1.26/0.79 (unordered_pair @
% 1.26/0.79 (singleton @ (first @ (not_subclass_element @ x @ y))) @
% 1.26/0.79 (unordered_pair @ (first @ (not_subclass_element @ x @ y)) @
% 1.26/0.79 (singleton @ (second @ (not_subclass_element @ x @ y))))) @
% 1.26/0.79 x)),
% 1.26/0.79 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl8])).
% 1.26/0.79 thf(zip_derived_cl267, plain,
% 1.26/0.79 ((~ (member @ (not_subclass_element @ x @ y) @ x)
% 1.26/0.79 | ~ (member @ (not_subclass_element @ x @ y) @ x))),
% 1.26/0.79 inference('sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl208])).
% 1.26/0.79 thf(zip_derived_cl276, plain,
% 1.26/0.79 (~ (member @ (not_subclass_element @ x @ y) @ x)),
% 1.26/0.79 inference('simplify', [status(thm)], [zip_derived_cl267])).
% 1.26/0.79 thf(not_subclass_members1, axiom,
% 1.26/0.79 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.26/0.79 thf(zip_derived_cl1, plain,
% 1.26/0.79 (![X0 : $i, X1 : $i]:
% 1.26/0.79 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.26/0.79 | (subclass @ X0 @ X1))),
% 1.26/0.79 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.26/0.79 thf(zip_derived_cl277, plain, ( (subclass @ x @ y)),
% 1.26/0.79 inference('sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl1])).
% 1.26/0.79 thf(zip_derived_cl279, plain, ($false),
% 1.26/0.79 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl277])).
% 1.26/0.79
% 1.26/0.79 % SZS output end Refutation
% 1.26/0.79
% 1.26/0.79
% 1.26/0.79 % Terminating...
% 1.36/0.86 % Runner terminated.
% 1.36/0.87 % Zipperpin 1.5 exiting
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