TSTP Solution File: SET103-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET103-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z65U05WL5x true
% Computer : n003.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 16:12:46 EDT 2023
% Result : Unsatisfiable 1.36s 0.82s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET103-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z65U05WL5x true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:46:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/0.82 % Solved by fo/fo6_bce.sh.
% 1.36/0.82 % BCE start: 93
% 1.36/0.82 % BCE eliminated: 0
% 1.36/0.82 % PE start: 93
% 1.36/0.82 logic: eq
% 1.36/0.82 % PE eliminated: 16
% 1.36/0.82 % done 140 iterations in 0.097s
% 1.36/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.82 % SZS output start Refutation
% 1.36/0.82 thf(universal_class_type, type, universal_class: $i).
% 1.36/0.82 thf(null_class_type, type, null_class: $i).
% 1.36/0.82 thf(member_type, type, member: $i > $i > $o).
% 1.36/0.82 thf(x_type, type, x: $i).
% 1.36/0.82 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.36/0.82 thf(y_type, type, y: $i).
% 1.36/0.82 thf(singleton_type, type, singleton: $i > $i).
% 1.36/0.82 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.36/0.82 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.36/0.82 thf(regular_type, type, regular: $i > $i).
% 1.36/0.82 thf(prove_property_1_of_ordered_pair_2, conjecture,
% 1.36/0.82 (member @ y @ universal_class)).
% 1.36/0.82 thf(zf_stmt_0, negated_conjecture, (~( member @ y @ universal_class )),
% 1.36/0.82 inference('cnf.neg', [status(esa)], [prove_property_1_of_ordered_pair_2])).
% 1.36/0.82 thf(zip_derived_cl92, plain, (~ (member @ y @ universal_class)),
% 1.36/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/0.82 thf(regularity1, axiom,
% 1.36/0.82 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.36/0.82 thf(zip_derived_cl65, plain,
% 1.36/0.82 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.36/0.82 inference('cnf', [status(esa)], [regularity1])).
% 1.36/0.82 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.36/0.82 thf(zip_derived_cl11, plain,
% 1.36/0.82 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.36/0.82 inference('cnf', [status(esa)], [singleton_set])).
% 1.36/0.82 thf(unordered_pair_member, axiom,
% 1.36/0.82 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.36/0.82 ( ( U ) = ( Y ) ))).
% 1.36/0.82 thf(zip_derived_cl7, plain,
% 1.36/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.82 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.36/0.82 | ((X0) = (X1))
% 1.36/0.82 | ((X0) = (X2)))),
% 1.36/0.82 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.36/0.82 thf(zip_derived_cl437, plain,
% 1.36/0.82 (![X0 : $i, X1 : $i]:
% 1.36/0.82 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.36/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 1.36/0.82 thf(zip_derived_cl438, plain,
% 1.36/0.82 (![X0 : $i, X1 : $i]:
% 1.36/0.82 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.36/0.82 inference('simplify', [status(thm)], [zip_derived_cl437])).
% 1.36/0.82 thf(zip_derived_cl673, plain,
% 1.36/0.82 (![X0 : $i]:
% 1.36/0.82 (((singleton @ X0) = (null_class))
% 1.36/0.82 | ((regular @ (singleton @ X0)) = (X0)))),
% 1.36/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl438])).
% 1.36/0.82 thf(zip_derived_cl65, plain,
% 1.36/0.82 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.36/0.82 inference('cnf', [status(esa)], [regularity1])).
% 1.36/0.82 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.36/0.82 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.36/0.82 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.36/0.82 thf(subclass_members, axiom,
% 1.36/0.82 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.36/0.82 thf(zip_derived_cl0, plain,
% 1.36/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.82 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.36/0.82 inference('cnf', [status(esa)], [subclass_members])).
% 1.36/0.82 thf(zip_derived_cl418, plain,
% 1.36/0.82 (![X0 : $i, X1 : $i]:
% 1.36/0.82 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.36/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.36/0.82 thf(zip_derived_cl671, plain,
% 1.36/0.82 (![X0 : $i]:
% 1.36/0.82 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 1.36/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl418])).
% 1.36/0.82 thf(zip_derived_cl696, plain,
% 1.36/0.82 (![X0 : $i]:
% 1.36/0.82 (((singleton @ X0) = (null_class))
% 1.36/0.82 | ((singleton @ X0) = (null_class))
% 1.36/0.82 | (member @ X0 @ universal_class))),
% 1.36/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl671])).
% 1.36/0.82 thf(zip_derived_cl699, plain,
% 1.36/0.82 (![X0 : $i]:
% 1.36/0.82 ( (member @ X0 @ universal_class) | ((singleton @ X0) = (null_class)))),
% 1.36/0.82 inference('simplify', [status(thm)], [zip_derived_cl696])).
% 1.36/0.82 thf(ordered_pair, axiom,
% 1.36/0.82 (( unordered_pair @
% 1.36/0.82 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 1.36/0.82 ( ordered_pair @ X @ Y ))).
% 1.36/0.82 thf(zip_derived_cl12, plain,
% 1.36/0.82 (![X0 : $i, X1 : $i]:
% 1.36/0.82 ((unordered_pair @ (singleton @ X0) @
% 1.36/0.82 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.36/0.82 inference('cnf', [status(esa)], [ordered_pair])).
% 1.36/0.82 thf(zip_derived_cl722, plain,
% 1.36/0.82 (![X0 : $i, X1 : $i]:
% 1.36/0.82 ( (member @ X0 @ universal_class)
% 1.36/0.82 | ((unordered_pair @ (singleton @ X1) @
% 1.36/0.82 (unordered_pair @ X1 @ null_class)) = (ordered_pair @ X1 @ X0)))),
% 1.36/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl699, zip_derived_cl12])).
% 1.36/0.82 thf(prove_property_1_of_ordered_pair_1, conjecture,
% 1.36/0.82 (( unordered_pair @ ( singleton @ x ) @ ( unordered_pair @ x @ null_class ) ) =
% 1.36/0.82 ( ordered_pair @ x @ y ))).
% 1.36/0.82 thf(zf_stmt_1, negated_conjecture,
% 1.36/0.82 (( unordered_pair @ ( singleton @ x ) @ ( unordered_pair @ x @ null_class ) ) !=
% 1.36/0.82 ( ordered_pair @ x @ y )),
% 1.36/0.82 inference('cnf.neg', [status(esa)], [prove_property_1_of_ordered_pair_1])).
% 1.36/0.82 thf(zip_derived_cl91, plain,
% 1.36/0.82 (((unordered_pair @ (singleton @ x) @ (unordered_pair @ x @ null_class))
% 1.36/0.82 != (ordered_pair @ x @ y))),
% 1.36/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/0.82 thf(zip_derived_cl784, plain,
% 1.36/0.82 (![X0 : $i]:
% 1.36/0.82 ( (member @ X0 @ universal_class)
% 1.36/0.82 | ((ordered_pair @ x @ X0) != (ordered_pair @ x @ y)))),
% 1.36/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl722, zip_derived_cl91])).
% 1.36/0.82 thf(zip_derived_cl800, plain, ( (member @ y @ universal_class)),
% 1.36/0.82 inference('eq_res', [status(thm)], [zip_derived_cl784])).
% 1.36/0.82 thf(zip_derived_cl802, plain, ($false),
% 1.36/0.82 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl800])).
% 1.36/0.82
% 1.36/0.82 % SZS output end Refutation
% 1.36/0.82
% 1.36/0.82
% 1.36/0.82 % Terminating...
% 1.51/0.88 % Runner terminated.
% 1.51/0.89 % Zipperpin 1.5 exiting
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