TSTP Solution File: SET071-7 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET071-7 : 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.cD6XqmzRWY true
% Computer : n010.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 16:12:25 EDT 2023
% Result : Unsatisfiable 1.10s 0.79s
% Output : Refutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET071-7 : 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.cD6XqmzRWY true
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 09:32:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.79 % Solved by fo/fo7.sh.
% 1.10/0.79 % done 166 iterations in 0.050s
% 1.10/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.10/0.79 % SZS output start Refutation
% 1.10/0.79 thf(universal_class_type, type, universal_class: $i).
% 1.10/0.79 thf(null_class_type, type, null_class: $i).
% 1.10/0.79 thf(member_type, type, member: $i > $i > $o).
% 1.10/0.79 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.10/0.79 thf(singleton_type, type, singleton: $i > $i).
% 1.10/0.79 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.10/0.79 thf(x_type, type, x: $i).
% 1.10/0.79 thf(y_type, type, y: $i).
% 1.10/0.79 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.10/0.79 thf(null_class_is_unique, axiom,
% 1.10/0.79 (( ( Z ) = ( null_class ) ) |
% 1.10/0.79 ( member @ ( not_subclass_element @ Z @ null_class ) @ Z ))).
% 1.10/0.79 thf(zip_derived_cl60, plain,
% 1.10/0.79 (![X0 : $i]:
% 1.10/0.79 (((X0) = (null_class))
% 1.10/0.79 | (member @ (not_subclass_element @ X0 @ null_class) @ X0))),
% 1.10/0.79 inference('cnf', [status(esa)], [null_class_is_unique])).
% 1.10/0.79 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.10/0.79 thf(zip_derived_cl11, plain,
% 1.10/0.79 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.10/0.79 inference('cnf', [status(esa)], [singleton_set])).
% 1.10/0.79 thf(unordered_pair_member, axiom,
% 1.10/0.79 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.10/0.79 ( ( U ) = ( Y ) ))).
% 1.10/0.79 thf(zip_derived_cl7, plain,
% 1.10/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.79 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.10/0.79 | ((X0) = (X1))
% 1.10/0.79 | ((X0) = (X2)))),
% 1.10/0.79 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.10/0.79 thf(zip_derived_cl132, plain,
% 1.10/0.79 (![X0 : $i, X1 : $i]:
% 1.10/0.79 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.10/0.79 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 1.10/0.79 thf(zip_derived_cl133, plain,
% 1.10/0.79 (![X0 : $i, X1 : $i]:
% 1.10/0.79 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.10/0.79 inference('simplify', [status(thm)], [zip_derived_cl132])).
% 1.10/0.79 thf(zip_derived_cl205, plain,
% 1.10/0.79 (![X0 : $i]:
% 1.10/0.79 (((singleton @ X0) = (null_class))
% 1.10/0.79 | ((not_subclass_element @ (singleton @ X0) @ null_class) = (X0)))),
% 1.10/0.79 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl133])).
% 1.10/0.79 thf(zip_derived_cl60, plain,
% 1.10/0.79 (![X0 : $i]:
% 1.10/0.79 (((X0) = (null_class))
% 1.10/0.79 | (member @ (not_subclass_element @ X0 @ null_class) @ X0))),
% 1.10/0.79 inference('cnf', [status(esa)], [null_class_is_unique])).
% 1.10/0.79 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.10/0.79 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.10/0.79 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.10/0.79 thf(subclass_members, axiom,
% 1.10/0.79 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.10/0.79 thf(zip_derived_cl0, plain,
% 1.10/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.10/0.79 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.10/0.79 inference('cnf', [status(esa)], [subclass_members])).
% 1.10/0.79 thf(zip_derived_cl76, plain,
% 1.10/0.79 (![X0 : $i, X1 : $i]:
% 1.10/0.79 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 1.10/0.79 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.10/0.79 thf(zip_derived_cl203, plain,
% 1.10/0.79 (![X0 : $i]:
% 1.10/0.79 (((X0) = (null_class))
% 1.10/0.79 | (member @ (not_subclass_element @ X0 @ null_class) @
% 1.10/0.79 universal_class))),
% 1.10/0.79 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl76])).
% 1.10/0.79 thf(zip_derived_cl291, plain,
% 1.10/0.79 (![X0 : $i]:
% 1.10/0.79 ( (member @ X0 @ universal_class)
% 1.10/0.79 | ((singleton @ X0) = (null_class))
% 1.10/0.79 | ((singleton @ X0) = (null_class)))),
% 1.10/0.79 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl203])).
% 1.10/0.79 thf(zip_derived_cl295, plain,
% 1.10/0.79 (![X0 : $i]:
% 1.10/0.79 (((singleton @ X0) = (null_class)) | (member @ X0 @ universal_class))),
% 1.10/0.79 inference('simplify', [status(thm)], [zip_derived_cl291])).
% 1.10/0.79 thf(prove_null_unordered_pair_2, conjecture, (member @ x @ universal_class)).
% 1.10/0.79 thf(zf_stmt_0, negated_conjecture, (~( member @ x @ universal_class )),
% 1.10/0.79 inference('cnf.neg', [status(esa)], [prove_null_unordered_pair_2])).
% 1.10/0.79 thf(zip_derived_cl68, plain, (~ (member @ x @ universal_class)),
% 1.10/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.10/0.79 thf(zip_derived_cl321, plain, (((singleton @ x) = (null_class))),
% 1.10/0.79 inference('sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl68])).
% 1.10/0.79 thf(unordered_pair_equals_singleton1, axiom,
% 1.10/0.79 (( member @ Y @ universal_class ) |
% 1.10/0.79 ( ( unordered_pair @ X @ Y ) = ( singleton @ X ) ))).
% 1.10/0.79 thf(zip_derived_cl65, plain,
% 1.10/0.79 (![X0 : $i, X1 : $i]:
% 1.10/0.79 ( (member @ X0 @ universal_class)
% 1.10/0.79 | ((unordered_pair @ X1 @ X0) = (singleton @ X1)))),
% 1.10/0.79 inference('cnf', [status(esa)], [unordered_pair_equals_singleton1])).
% 1.10/0.79 thf(prove_null_unordered_pair_1, conjecture,
% 1.10/0.79 (( unordered_pair @ x @ y ) = ( null_class ))).
% 1.10/0.79 thf(zf_stmt_1, negated_conjecture,
% 1.10/0.79 (( unordered_pair @ x @ y ) != ( null_class )),
% 1.10/0.79 inference('cnf.neg', [status(esa)], [prove_null_unordered_pair_1])).
% 1.10/0.79 thf(zip_derived_cl69, plain, (((unordered_pair @ x @ y) != (null_class))),
% 1.10/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.10/0.79 thf(zip_derived_cl89, plain,
% 1.10/0.79 ((((singleton @ x) != (null_class)) | (member @ y @ universal_class))),
% 1.10/0.79 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl69])).
% 1.10/0.79 thf(prove_null_unordered_pair_3, conjecture, (member @ y @ universal_class)).
% 1.10/0.79 thf(zf_stmt_2, negated_conjecture, (~( member @ y @ universal_class )),
% 1.10/0.79 inference('cnf.neg', [status(esa)], [prove_null_unordered_pair_3])).
% 1.10/0.79 thf(zip_derived_cl67, plain, (~ (member @ y @ universal_class)),
% 1.10/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.10/0.79 thf(zip_derived_cl95, plain, (((singleton @ x) != (null_class))),
% 1.10/0.79 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl67])).
% 1.10/0.79 thf(zip_derived_cl326, plain, ($false),
% 1.10/0.79 inference('simplify_reflect-', [status(thm)],
% 1.10/0.79 [zip_derived_cl321, zip_derived_cl95])).
% 1.10/0.79
% 1.10/0.79 % SZS output end Refutation
% 1.10/0.79
% 1.10/0.79
% 1.10/0.79 % Terminating...
% 1.38/0.88 % Runner terminated.
% 1.38/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------