TSTP Solution File: NUM071-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM071-1 : 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.oJPC0fSm0d true
% Computer : n004.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 12:39:09 EDT 2023
% Result : Unsatisfiable 30.27s 4.94s
% Output : Refutation 30.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM071-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oJPC0fSm0d true
% 0.13/0.35 % Computer : n004.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 : Fri Aug 25 12:13:53 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 30.27/4.94 % Solved by fo/fo5.sh.
% 30.27/4.94 % done 3870 iterations in 4.158s
% 30.27/4.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.27/4.94 % SZS output start Refutation
% 30.27/4.94 thf(universal_class_type, type, universal_class: $i).
% 30.27/4.94 thf(well_ordering_type, type, well_ordering: $i > $i > $o).
% 30.27/4.94 thf(member_type, type, member: $i > $i > $o).
% 30.27/4.94 thf(y_type, type, y: $i).
% 30.27/4.94 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 30.27/4.94 thf(u_type, type, u: $i).
% 30.27/4.94 thf(singleton_type, type, singleton: $i > $i).
% 30.27/4.94 thf(xr_type, type, xr: $i).
% 30.27/4.94 thf(subclass_type, type, subclass: $i > $i > $o).
% 30.27/4.94 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 30.27/4.94 thf(least_type, type, least: $i > $i > $i).
% 30.27/4.94 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 30.27/4.94 thf(prove_well_ordering_is_irreflexive_3, conjecture, (~( member @ u @ y ))).
% 30.27/4.94 thf(zf_stmt_0, negated_conjecture, (member @ u @ y),
% 30.27/4.94 inference('cnf.neg', [status(esa)], [prove_well_ordering_is_irreflexive_3])).
% 30.27/4.94 thf(zip_derived_cl160, plain, ( (member @ u @ y)),
% 30.27/4.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.27/4.95 thf(not_subclass_members1, axiom,
% 30.27/4.95 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 30.27/4.95 thf(zip_derived_cl1, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 30.27/4.95 | (subclass @ X0 @ X1))),
% 30.27/4.95 inference('cnf', [status(esa)], [not_subclass_members1])).
% 30.27/4.95 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 30.27/4.95 thf(zip_derived_cl11, plain,
% 30.27/4.95 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 30.27/4.95 inference('cnf', [status(esa)], [singleton_set])).
% 30.27/4.95 thf(unordered_pair_member, axiom,
% 30.27/4.95 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 30.27/4.95 ( ( U ) = ( Y ) ))).
% 30.27/4.95 thf(zip_derived_cl7, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.27/4.95 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 30.27/4.95 | ((X0) = (X1))
% 30.27/4.95 | ((X0) = (X2)))),
% 30.27/4.95 inference('cnf', [status(esa)], [unordered_pair_member])).
% 30.27/4.95 thf(zip_derived_cl279, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 30.27/4.95 thf(zip_derived_cl280, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 30.27/4.95 inference('simplify', [status(thm)], [zip_derived_cl279])).
% 30.27/4.95 thf(zip_derived_cl281, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 ( (subclass @ (singleton @ X0) @ X1)
% 30.27/4.95 | ((not_subclass_element @ (singleton @ X0) @ X1) = (X0)))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl280])).
% 30.27/4.95 thf(not_subclass_members2, axiom,
% 30.27/4.95 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 30.27/4.95 ( subclass @ X @ Y ))).
% 30.27/4.95 thf(zip_derived_cl2, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 30.27/4.95 | (subclass @ X0 @ X1))),
% 30.27/4.95 inference('cnf', [status(esa)], [not_subclass_members2])).
% 30.27/4.95 thf(zip_derived_cl5235, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 (~ (member @ X0 @ X1)
% 30.27/4.95 | (subclass @ (singleton @ X0) @ X1)
% 30.27/4.95 | (subclass @ (singleton @ X0) @ X1))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl281, zip_derived_cl2])).
% 30.27/4.95 thf(zip_derived_cl5240, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 ( (subclass @ (singleton @ X0) @ X1) | ~ (member @ X0 @ X1))),
% 30.27/4.95 inference('simplify', [status(thm)], [zip_derived_cl5235])).
% 30.27/4.95 thf(zip_derived_cl5456, plain, ( (subclass @ (singleton @ u) @ y)),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl5240])).
% 30.27/4.95 thf(prove_well_ordering_is_irreflexive_2, conjecture,
% 30.27/4.95 (~( member @ ( ordered_pair @ u @ u ) @ xr ))).
% 30.27/4.95 thf(zf_stmt_1, negated_conjecture, (member @ ( ordered_pair @ u @ u ) @ xr),
% 30.27/4.95 inference('cnf.neg', [status(esa)], [prove_well_ordering_is_irreflexive_2])).
% 30.27/4.95 thf(zip_derived_cl159, plain, ( (member @ (ordered_pair @ u @ u) @ xr)),
% 30.27/4.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 30.27/4.95 thf(zip_derived_cl11, plain,
% 30.27/4.95 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 30.27/4.95 inference('cnf', [status(esa)], [singleton_set])).
% 30.27/4.95 thf(zip_derived_cl160, plain, ( (member @ u @ y)),
% 30.27/4.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.27/4.95 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 30.27/4.95 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 30.27/4.95 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 30.27/4.95 thf(subclass_members, axiom,
% 30.27/4.95 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 30.27/4.95 thf(zip_derived_cl0, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.27/4.95 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 30.27/4.95 inference('cnf', [status(esa)], [subclass_members])).
% 30.27/4.95 thf(zip_derived_cl161, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 30.27/4.95 thf(zip_derived_cl164, plain, ( (member @ u @ universal_class)),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl161])).
% 30.27/4.95 thf(unordered_pair2, axiom,
% 30.27/4.95 (( ~( member @ X @ universal_class ) ) |
% 30.27/4.95 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 30.27/4.95 thf(zip_derived_cl8, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 (~ (member @ X0 @ universal_class)
% 30.27/4.95 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 30.27/4.95 inference('cnf', [status(esa)], [unordered_pair2])).
% 30.27/4.95 thf(zip_derived_cl339, plain,
% 30.27/4.95 (![X0 : $i]: (member @ u @ (unordered_pair @ u @ X0))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl8])).
% 30.27/4.95 thf(zip_derived_cl350, plain, ( (member @ u @ (singleton @ u))),
% 30.27/4.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl339])).
% 30.27/4.95 thf(zip_derived_cl5456, plain, ( (subclass @ (singleton @ u) @ y)),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl5240])).
% 30.27/4.95 thf(prove_well_ordering_is_irreflexive_1, conjecture,
% 30.27/4.95 (~( well_ordering @ xr @ y ))).
% 30.27/4.95 thf(zf_stmt_2, negated_conjecture, (well_ordering @ xr @ y),
% 30.27/4.95 inference('cnf.neg', [status(esa)], [prove_well_ordering_is_irreflexive_1])).
% 30.27/4.95 thf(zip_derived_cl158, plain, ( (well_ordering @ xr @ y)),
% 30.27/4.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 30.27/4.95 thf(well_ordering3, axiom,
% 30.27/4.95 (( ~( well_ordering @ Xr @ Y ) ) | ( ~( subclass @ U @ Y ) ) |
% 30.27/4.95 ( ~( member @ V @ U ) ) | ( member @ ( least @ Xr @ U ) @ U ))).
% 30.27/4.95 thf(zip_derived_cl124, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.27/4.95 (~ (well_ordering @ X0 @ X1)
% 30.27/4.95 | ~ (subclass @ X2 @ X1)
% 30.27/4.95 | ~ (member @ X3 @ X2)
% 30.27/4.95 | (member @ (least @ X0 @ X2) @ X2))),
% 30.27/4.95 inference('cnf', [status(esa)], [well_ordering3])).
% 30.27/4.95 thf(zip_derived_cl5946, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 ( (member @ (least @ xr @ X0) @ X0)
% 30.27/4.95 | ~ (member @ X1 @ X0)
% 30.27/4.95 | ~ (subclass @ X0 @ y))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl124])).
% 30.27/4.95 thf(zip_derived_cl6556, plain,
% 30.27/4.95 (![X0 : $i]:
% 30.27/4.95 (~ (member @ X0 @ (singleton @ u))
% 30.27/4.95 | (member @ (least @ xr @ (singleton @ u)) @ (singleton @ u)))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl5456, zip_derived_cl5946])).
% 30.27/4.95 thf(zip_derived_cl6872, plain,
% 30.27/4.95 ( (member @ (least @ xr @ (singleton @ u)) @ (singleton @ u))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl6556])).
% 30.27/4.95 thf(zip_derived_cl280, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 30.27/4.95 inference('simplify', [status(thm)], [zip_derived_cl279])).
% 30.27/4.95 thf(zip_derived_cl6885, plain, (((least @ xr @ (singleton @ u)) = (u))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl6872, zip_derived_cl280])).
% 30.27/4.95 thf(well_ordering5, axiom,
% 30.27/4.95 (( ~( well_ordering @ Xr @ Y ) ) | ( ~( subclass @ U @ Y ) ) |
% 30.27/4.95 ( ~( member @ V @ U ) ) |
% 30.27/4.95 ( ~( member @ ( ordered_pair @ V @ ( least @ Xr @ U ) ) @ Xr ) ))).
% 30.27/4.95 thf(zip_derived_cl126, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.27/4.95 (~ (well_ordering @ X0 @ X1)
% 30.27/4.95 | ~ (subclass @ X2 @ X1)
% 30.27/4.95 | ~ (member @ X3 @ X2)
% 30.27/4.95 | ~ (member @ (ordered_pair @ X3 @ (least @ X0 @ X2)) @ X0))),
% 30.27/4.95 inference('cnf', [status(esa)], [well_ordering5])).
% 30.27/4.95 thf(zip_derived_cl6897, plain,
% 30.27/4.95 (![X0 : $i, X1 : $i]:
% 30.27/4.95 (~ (member @ (ordered_pair @ X0 @ u) @ xr)
% 30.27/4.95 | ~ (member @ X0 @ (singleton @ u))
% 30.27/4.95 | ~ (subclass @ (singleton @ u) @ X1)
% 30.27/4.95 | ~ (well_ordering @ xr @ X1))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl6885, zip_derived_cl126])).
% 30.27/4.95 thf(zip_derived_cl42976, plain,
% 30.27/4.95 (![X0 : $i]:
% 30.27/4.95 (~ (well_ordering @ xr @ X0)
% 30.27/4.95 | ~ (subclass @ (singleton @ u) @ X0)
% 30.27/4.95 | ~ (member @ u @ (singleton @ u)))),
% 30.27/4.95 inference('sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl6897])).
% 30.27/4.95 thf(zip_derived_cl350, plain, ( (member @ u @ (singleton @ u))),
% 30.27/4.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl339])).
% 30.27/4.95 thf(zip_derived_cl42977, plain,
% 30.27/4.95 (![X0 : $i]:
% 30.27/4.95 (~ (well_ordering @ xr @ X0) | ~ (subclass @ (singleton @ u) @ X0))),
% 30.27/4.95 inference('demod', [status(thm)],
% 30.27/4.95 [zip_derived_cl42976, zip_derived_cl350])).
% 30.27/4.95 thf(zip_derived_cl43034, plain, (~ (well_ordering @ xr @ y)),
% 30.27/4.95 inference('sup-', [status(thm)],
% 30.27/4.95 [zip_derived_cl5456, zip_derived_cl42977])).
% 30.27/4.95 thf(zip_derived_cl158, plain, ( (well_ordering @ xr @ y)),
% 30.27/4.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 30.27/4.95 thf(zip_derived_cl43035, plain, ($false),
% 30.27/4.95 inference('demod', [status(thm)],
% 30.27/4.95 [zip_derived_cl43034, zip_derived_cl158])).
% 30.27/4.95
% 30.27/4.95 % SZS output end Refutation
% 30.27/4.95
% 30.27/4.95
% 30.27/4.95 % Terminating...
% 31.12/5.06 % Runner terminated.
% 31.12/5.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------