TSTP Solution File: NUM066-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM066-1 : 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.IylAVQb33W true
% Computer : n019.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 12:39:08 EDT 2023
% Result : Unsatisfiable 1.10s 0.86s
% Output : Refutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM066-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IylAVQb33W true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 13:21:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.61 % Total configuration time : 435
% 0.22/0.61 % Estimated wc time : 1092
% 0.22/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.69 % /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/fo13.sh running for 50s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.10/0.86 % Solved by fo/fo7.sh.
% 1.10/0.86 % done 211 iterations in 0.116s
% 1.10/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.10/0.86 % SZS output start Refutation
% 1.10/0.86 thf(universal_class_type, type, universal_class: $i).
% 1.10/0.86 thf(well_ordering_type, type, well_ordering: $i > $i > $o).
% 1.10/0.86 thf(member_type, type, member: $i > $i > $o).
% 1.10/0.86 thf(u_type, type, u: $i).
% 1.10/0.86 thf(v_type, type, v: $i).
% 1.10/0.86 thf(y_type, type, y: $i).
% 1.10/0.86 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.10/0.86 thf(element_relation_type, type, element_relation: $i).
% 1.10/0.86 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.10/0.86 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.10/0.86 thf(least_type, type, least: $i > $i > $i).
% 1.10/0.86 thf(cartesian_product3, axiom,
% 1.10/0.86 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 1.10/0.86 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 1.10/0.86 thf(zip_derived_cl7, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.10/0.86 (~ (member @ X0 @ X1)
% 1.10/0.86 | ~ (member @ X2 @ X3)
% 1.10/0.86 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 1.10/0.86 inference('cnf', [status(esa)], [cartesian_product3])).
% 1.10/0.86 thf(prove_corollary_to_well_ordering_property1_3, conjecture,
% 1.10/0.86 (~( member @ v @ u ))).
% 1.10/0.86 thf(zf_stmt_0, negated_conjecture, (member @ v @ u),
% 1.10/0.86 inference('cnf.neg', [status(esa)],
% 1.10/0.86 [prove_corollary_to_well_ordering_property1_3])).
% 1.10/0.86 thf(zip_derived_cl53, plain, ( (member @ v @ u)),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.10/0.86 thf(prove_corollary_to_well_ordering_property1_2, conjecture,
% 1.10/0.86 (~( subclass @ u @ y ))).
% 1.10/0.86 thf(zf_stmt_1, negated_conjecture, (subclass @ u @ y),
% 1.10/0.86 inference('cnf.neg', [status(esa)],
% 1.10/0.86 [prove_corollary_to_well_ordering_property1_2])).
% 1.10/0.86 thf(zip_derived_cl54, plain, ( (subclass @ u @ y)),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.10/0.86 thf(prove_corollary_to_well_ordering_property1_1, conjecture,
% 1.10/0.86 (~( well_ordering @ element_relation @ y ))).
% 1.10/0.86 thf(zf_stmt_2, negated_conjecture, (well_ordering @ element_relation @ y),
% 1.10/0.86 inference('cnf.neg', [status(esa)],
% 1.10/0.86 [prove_corollary_to_well_ordering_property1_1])).
% 1.10/0.86 thf(zip_derived_cl55, plain, ( (well_ordering @ element_relation @ y)),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.10/0.86 thf(element_relation3, axiom,
% 1.10/0.86 (( ~( member @
% 1.10/0.86 ( ordered_pair @ X @ Y ) @
% 1.10/0.86 ( cross_product @ universal_class @ universal_class ) ) ) |
% 1.10/0.86 ( ~( member @ X @ Y ) ) |
% 1.10/0.86 ( member @ ( ordered_pair @ X @ Y ) @ element_relation ))).
% 1.10/0.86 thf(zip_derived_cl10, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i]:
% 1.10/0.86 (~ (member @ (ordered_pair @ X0 @ X1) @
% 1.10/0.86 (cross_product @ universal_class @ universal_class))
% 1.10/0.86 | ~ (member @ X0 @ X1)
% 1.10/0.86 | (member @ (ordered_pair @ X0 @ X1) @ element_relation))),
% 1.10/0.86 inference('cnf', [status(esa)], [element_relation3])).
% 1.10/0.86 thf(well_ordering5, axiom,
% 1.10/0.86 (( ~( well_ordering @ Xr @ Y ) ) | ( ~( subclass @ U @ Y ) ) |
% 1.10/0.86 ( ~( member @ V @ U ) ) |
% 1.10/0.86 ( ~( member @ ( ordered_pair @ V @ ( least @ Xr @ U ) ) @ Xr ) ))).
% 1.10/0.86 thf(zip_derived_cl38, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.10/0.86 (~ (well_ordering @ X0 @ X1)
% 1.10/0.86 | ~ (subclass @ X2 @ X1)
% 1.10/0.86 | ~ (member @ X3 @ X2)
% 1.10/0.86 | ~ (member @ (ordered_pair @ X3 @ (least @ X0 @ X2)) @ X0))),
% 1.10/0.86 inference('cnf', [status(esa)], [well_ordering5])).
% 1.10/0.86 thf(zip_derived_cl278, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.86 (~ (member @ X1 @ (least @ element_relation @ X0))
% 1.10/0.86 | ~ (member @
% 1.10/0.86 (ordered_pair @ X1 @ (least @ element_relation @ X0)) @
% 1.10/0.86 (cross_product @ universal_class @ universal_class))
% 1.10/0.86 | ~ (member @ X1 @ X0)
% 1.10/0.86 | ~ (subclass @ X0 @ X2)
% 1.10/0.86 | ~ (well_ordering @ element_relation @ X2))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl38])).
% 1.10/0.86 thf(zip_derived_cl299, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i]:
% 1.10/0.86 (~ (subclass @ X0 @ y)
% 1.10/0.86 | ~ (member @ X1 @ X0)
% 1.10/0.86 | ~ (member @
% 1.10/0.86 (ordered_pair @ X1 @ (least @ element_relation @ X0)) @
% 1.10/0.86 (cross_product @ universal_class @ universal_class))
% 1.10/0.86 | ~ (member @ X1 @ (least @ element_relation @ X0)))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl278])).
% 1.10/0.86 thf(zip_derived_cl301, plain,
% 1.10/0.86 (![X0 : $i]:
% 1.10/0.86 (~ (member @ X0 @ (least @ element_relation @ u))
% 1.10/0.86 | ~ (member @ (ordered_pair @ X0 @ (least @ element_relation @ u)) @
% 1.10/0.86 (cross_product @ universal_class @ universal_class))
% 1.10/0.86 | ~ (member @ X0 @ u))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl299])).
% 1.10/0.86 thf(zip_derived_cl306, plain,
% 1.10/0.86 ((~ (member @ (ordered_pair @ v @ (least @ element_relation @ u)) @
% 1.10/0.86 (cross_product @ universal_class @ universal_class))
% 1.10/0.86 | ~ (member @ v @ (least @ element_relation @ u)))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl301])).
% 1.10/0.86 thf(prove_corollary_to_well_ordering_property1_4, conjecture,
% 1.10/0.86 (~( member @ v @ ( least @ element_relation @ u ) ))).
% 1.10/0.86 thf(zf_stmt_3, negated_conjecture,
% 1.10/0.86 (member @ v @ ( least @ element_relation @ u )),
% 1.10/0.86 inference('cnf.neg', [status(esa)],
% 1.10/0.86 [prove_corollary_to_well_ordering_property1_4])).
% 1.10/0.86 thf(zip_derived_cl52, plain,
% 1.10/0.86 ( (member @ v @ (least @ element_relation @ u))),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.10/0.86 thf(zip_derived_cl307, plain,
% 1.10/0.86 (~ (member @ (ordered_pair @ v @ (least @ element_relation @ u)) @
% 1.10/0.86 (cross_product @ universal_class @ universal_class))),
% 1.10/0.86 inference('demod', [status(thm)], [zip_derived_cl306, zip_derived_cl52])).
% 1.10/0.86 thf(zip_derived_cl363, plain,
% 1.10/0.86 ((~ (member @ (least @ element_relation @ u) @ universal_class)
% 1.10/0.86 | ~ (member @ v @ universal_class))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl307])).
% 1.10/0.86 thf(zip_derived_cl53, plain, ( (member @ v @ u)),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.10/0.86 thf(zip_derived_cl54, plain, ( (subclass @ u @ y)),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.10/0.86 thf(zip_derived_cl55, plain, ( (well_ordering @ element_relation @ y)),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.10/0.86 thf(well_ordering3, axiom,
% 1.10/0.86 (( ~( well_ordering @ Xr @ Y ) ) | ( ~( subclass @ U @ Y ) ) |
% 1.10/0.86 ( ~( member @ V @ U ) ) | ( member @ ( least @ Xr @ U ) @ U ))).
% 1.10/0.86 thf(zip_derived_cl36, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.10/0.86 (~ (well_ordering @ X0 @ X1)
% 1.10/0.86 | ~ (subclass @ X2 @ X1)
% 1.10/0.86 | ~ (member @ X3 @ X2)
% 1.10/0.86 | (member @ (least @ X0 @ X2) @ X2))),
% 1.10/0.86 inference('cnf', [status(esa)], [well_ordering3])).
% 1.10/0.86 thf(zip_derived_cl103, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i]:
% 1.10/0.86 ( (member @ (least @ element_relation @ X0) @ X0)
% 1.10/0.86 | ~ (member @ X1 @ X0)
% 1.10/0.86 | ~ (subclass @ X0 @ y))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl36])).
% 1.10/0.86 thf(zip_derived_cl105, plain,
% 1.10/0.86 (![X0 : $i]:
% 1.10/0.86 (~ (member @ X0 @ u) | (member @ (least @ element_relation @ u) @ u))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl103])).
% 1.10/0.86 thf(zip_derived_cl108, plain,
% 1.10/0.86 ( (member @ (least @ element_relation @ u) @ u)),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl105])).
% 1.10/0.86 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.10/0.86 thf(zip_derived_cl1, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.10/0.86 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.10/0.86 thf(subclass_members, axiom,
% 1.10/0.86 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.10/0.86 thf(zip_derived_cl0, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.86 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.10/0.86 inference('cnf', [status(esa)], [subclass_members])).
% 1.10/0.86 thf(zip_derived_cl65, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i]:
% 1.10/0.86 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.10/0.86 thf(zip_derived_cl111, plain,
% 1.10/0.86 ( (member @ (least @ element_relation @ u) @ universal_class)),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl65])).
% 1.10/0.86 thf(zip_derived_cl52, plain,
% 1.10/0.86 ( (member @ v @ (least @ element_relation @ u))),
% 1.10/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.10/0.86 thf(zip_derived_cl65, plain,
% 1.10/0.86 (![X0 : $i, X1 : $i]:
% 1.10/0.86 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.10/0.86 thf(zip_derived_cl80, plain, ( (member @ v @ universal_class)),
% 1.10/0.86 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl65])).
% 1.10/0.86 thf(zip_derived_cl364, plain, ($false),
% 1.10/0.86 inference('demod', [status(thm)],
% 1.10/0.86 [zip_derived_cl363, zip_derived_cl111, zip_derived_cl80])).
% 1.10/0.86
% 1.10/0.86 % SZS output end Refutation
% 1.10/0.86
% 1.10/0.86
% 1.10/0.86 % Terminating...
% 1.64/0.92 % Runner terminated.
% 1.64/0.93 % Zipperpin 1.5 exiting
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