TSTP Solution File: SET238-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET238-6 : 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.s5el0m4MII true
% Computer : n009.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 0.50s 0.76s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s5el0m4MII true
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Aug 26 14:39:35 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % 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
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.76 % Solved by fo/fo3_bce.sh.
% 0.50/0.76 % BCE start: 53
% 0.50/0.76 % BCE eliminated: 2
% 0.50/0.76 % PE start: 51
% 0.50/0.76 logic: eq
% 0.50/0.76 % PE eliminated: 12
% 0.50/0.76 % done 48 iterations in 0.047s
% 0.50/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.76 % SZS output start Refutation
% 0.50/0.76 thf(member_type, type, member: $i > $i > $o).
% 0.50/0.76 thf(second_type, type, second: $i > $i).
% 0.50/0.76 thf(z_type, type, z: $i).
% 0.50/0.76 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.50/0.76 thf(y_type, type, y: $i).
% 0.50/0.76 thf(singleton_type, type, singleton: $i > $i).
% 0.50/0.76 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.50/0.76 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 0.50/0.76 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.50/0.76 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.50/0.76 thf(first_type, type, first: $i > $i).
% 0.50/0.76 thf(xr_type, type, xr: $i).
% 0.50/0.76 thf(x_type, type, x: $i).
% 0.50/0.76 thf(intersection3, axiom,
% 0.50/0.76 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 0.50/0.76 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 0.50/0.76 thf(zip_derived_cl18, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.76 (~ (member @ X0 @ X1)
% 0.50/0.76 | ~ (member @ X0 @ X2)
% 0.50/0.76 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 0.50/0.76 inference('cnf', [status(esa)], [intersection3])).
% 0.50/0.76 thf(prove_corollary_to_restriction_alternate_defn1_2, conjecture,
% 0.50/0.76 (member @
% 0.50/0.76 ( ordered_pair @ ( first @ z ) @ ( second @ z ) ) @
% 0.50/0.76 ( restrict @ xr @ x @ y ))).
% 0.50/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.50/0.76 (~( member @
% 0.50/0.76 ( ordered_pair @ ( first @ z ) @ ( second @ z ) ) @
% 0.50/0.76 ( restrict @ xr @ x @ y ) )),
% 0.50/0.76 inference('cnf.neg', [status(esa)],
% 0.50/0.76 [prove_corollary_to_restriction_alternate_defn1_2])).
% 0.50/0.76 thf(zip_derived_cl51, plain,
% 0.50/0.76 (~ (member @ (ordered_pair @ (first @ z) @ (second @ z)) @
% 0.50/0.76 (restrict @ xr @ x @ y))),
% 0.50/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.76 thf(ordered_pair, axiom,
% 0.50/0.76 (( unordered_pair @
% 0.50/0.76 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.50/0.76 ( ordered_pair @ X @ Y ))).
% 0.50/0.76 thf(zip_derived_cl8, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i]:
% 0.50/0.76 ((unordered_pair @ (singleton @ X0) @
% 0.50/0.76 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.50/0.76 inference('cnf', [status(esa)], [ordered_pair])).
% 0.50/0.76 thf(zip_derived_cl253, plain,
% 0.50/0.76 (~ (member @
% 0.50/0.76 (unordered_pair @ (singleton @ (first @ z)) @
% 0.50/0.76 (unordered_pair @ (first @ z) @ (singleton @ (second @ z)))) @
% 0.50/0.76 (restrict @ xr @ x @ y))),
% 0.50/0.76 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl8])).
% 0.50/0.76 thf(restriction2, axiom,
% 0.50/0.76 (( intersection @ ( cross_product @ X @ Y ) @ Xr ) =
% 0.50/0.76 ( restrict @ Xr @ X @ Y ))).
% 0.50/0.76 thf(zip_derived_cl20, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.76 ((intersection @ (cross_product @ X1 @ X2) @ X0)
% 0.50/0.76 = (restrict @ X0 @ X1 @ X2))),
% 0.50/0.76 inference('cnf', [status(esa)], [restriction2])).
% 0.50/0.76 thf(zip_derived_cl286, plain,
% 0.50/0.76 (~ (member @
% 0.50/0.76 (unordered_pair @ (singleton @ (first @ z)) @
% 0.50/0.76 (unordered_pair @ (first @ z) @ (singleton @ (second @ z)))) @
% 0.50/0.76 (intersection @ (cross_product @ x @ y) @ xr))),
% 0.50/0.76 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl20])).
% 0.50/0.76 thf(prove_corollary_to_restriction_alternate_defn1_1, conjecture,
% 0.50/0.76 (~( member @ z @ ( restrict @ xr @ x @ y ) ))).
% 0.50/0.76 thf(zf_stmt_1, negated_conjecture, (member @ z @ ( restrict @ xr @ x @ y )),
% 0.50/0.76 inference('cnf.neg', [status(esa)],
% 0.50/0.76 [prove_corollary_to_restriction_alternate_defn1_1])).
% 0.50/0.76 thf(zip_derived_cl52, plain, ( (member @ z @ (restrict @ xr @ x @ y))),
% 0.50/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.76 thf(restriction1, axiom,
% 0.50/0.76 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 0.50/0.76 ( restrict @ Xr @ X @ Y ))).
% 0.50/0.76 thf(zip_derived_cl19, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.76 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 0.50/0.76 = (restrict @ X0 @ X1 @ X2))),
% 0.50/0.76 inference('cnf', [status(esa)], [restriction1])).
% 0.50/0.76 thf(zip_derived_cl259, plain,
% 0.50/0.76 ( (member @ z @ (intersection @ xr @ (cross_product @ x @ y)))),
% 0.50/0.76 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl19])).
% 0.50/0.76 thf(intersection2, axiom,
% 0.50/0.76 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 0.50/0.76 thf(zip_derived_cl17, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.76 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 0.50/0.76 inference('cnf', [status(esa)], [intersection2])).
% 0.50/0.76 thf(zip_derived_cl263, plain, ( (member @ z @ (cross_product @ x @ y))),
% 0.50/0.76 inference('sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl17])).
% 0.50/0.76 thf(cartesian_product4, axiom,
% 0.50/0.76 (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) |
% 0.50/0.76 ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 0.50/0.76 thf(zip_derived_cl12, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.76 (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 0.50/0.76 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 0.50/0.76 inference('cnf', [status(esa)], [cartesian_product4])).
% 0.50/0.76 thf(zip_derived_cl275, plain,
% 0.50/0.76 (((ordered_pair @ (first @ z) @ (second @ z)) = (z))),
% 0.50/0.76 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl12])).
% 0.50/0.76 thf(zip_derived_cl8, plain,
% 0.50/0.76 (![X0 : $i, X1 : $i]:
% 0.50/0.76 ((unordered_pair @ (singleton @ X0) @
% 0.50/0.76 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.50/0.76 inference('cnf', [status(esa)], [ordered_pair])).
% 0.50/0.76 thf(zip_derived_cl285, plain,
% 0.50/0.76 (((unordered_pair @ (singleton @ (first @ z)) @
% 0.50/0.76 (unordered_pair @ (first @ z) @ (singleton @ (second @ z)))) = (
% 0.50/0.76 z))),
% 0.50/0.76 inference('sup+', [status(thm)], [zip_derived_cl275, zip_derived_cl8])).
% 0.50/0.76 thf(zip_derived_cl289, plain,
% 0.50/0.76 (~ (member @ z @ (intersection @ (cross_product @ x @ y) @ xr))),
% 0.50/0.76 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl285])).
% 0.50/0.76 thf(zip_derived_cl295, plain,
% 0.50/0.76 ((~ (member @ z @ xr) | ~ (member @ z @ (cross_product @ x @ y)))),
% 0.50/0.76 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl289])).
% 0.50/0.76 thf(zip_derived_cl259, plain,
% 0.50/0.76 ( (member @ z @ (intersection @ xr @ (cross_product @ x @ y)))),
% 0.50/0.76 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl19])).
% 0.50/0.76 thf(intersection1, axiom,
% 0.50/0.76 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 0.50/0.76 thf(zip_derived_cl16, plain,
% 0.50/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.77 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 0.50/0.77 inference('cnf', [status(esa)], [intersection1])).
% 0.50/0.77 thf(zip_derived_cl262, plain, ( (member @ z @ xr)),
% 0.50/0.77 inference('sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl16])).
% 0.50/0.77 thf(zip_derived_cl263, plain, ( (member @ z @ (cross_product @ x @ y))),
% 0.50/0.77 inference('sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl17])).
% 0.50/0.77 thf(zip_derived_cl296, plain, ($false),
% 0.50/0.77 inference('demod', [status(thm)],
% 0.50/0.77 [zip_derived_cl295, zip_derived_cl262, zip_derived_cl263])).
% 0.50/0.77
% 0.50/0.77 % SZS output end Refutation
% 0.50/0.77
% 0.50/0.77
% 0.50/0.77 % Terminating...
% 0.50/0.81 % Runner terminated.
% 0.50/0.83 % Zipperpin 1.5 exiting
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