TSTP Solution File: SET146-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET146-6 : 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.LZ4kDRyjY1 true

% Computer : n014.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 16:13:02 EDT 2023

% Result   : Unsatisfiable 1.29s 0.95s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET146-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LZ4kDRyjY1 true
% 0.14/0.35  % Computer : n014.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 : Sat Aug 26 12:20:47 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/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
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.29/0.95  % Solved by fo/fo6_bce.sh.
% 1.29/0.95  % BCE start: 113
% 1.29/0.95  % BCE eliminated: 1
% 1.29/0.95  % PE start: 112
% 1.29/0.95  logic: eq
% 1.29/0.95  % PE eliminated: 19
% 1.29/0.95  % done 275 iterations in 0.225s
% 1.29/0.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.95  % SZS output start Refutation
% 1.29/0.95  thf(universal_class_type, type, universal_class: $i).
% 1.29/0.95  thf(null_class_type, type, null_class: $i).
% 1.29/0.95  thf(member_type, type, member: $i > $i > $o).
% 1.29/0.95  thf(x_type, type, x: $i).
% 1.29/0.95  thf(complement_type, type, complement: $i > $i).
% 1.29/0.95  thf(intersection_type, type, intersection: $i > $i > $i).
% 1.29/0.95  thf(subclass_type, type, subclass: $i > $i > $o).
% 1.29/0.95  thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.29/0.95  thf(regular_type, type, regular: $i > $i).
% 1.29/0.95  thf(prove_intersection_with_null_class_1, conjecture,
% 1.29/0.95    (( intersection @ null_class @ x ) = ( null_class ))).
% 1.29/0.95  thf(zf_stmt_0, negated_conjecture,
% 1.29/0.95    (( intersection @ null_class @ x ) != ( null_class )),
% 1.29/0.95    inference('cnf.neg', [status(esa)], [prove_intersection_with_null_class_1])).
% 1.29/0.95  thf(zip_derived_cl112, plain,
% 1.29/0.95      (((intersection @ null_class @ x) != (null_class))),
% 1.29/0.95      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.95  thf(not_subclass_members1, axiom,
% 1.29/0.95    (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.29/0.95  thf(zip_derived_cl1, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.29/0.95          |  (subclass @ X0 @ X1))),
% 1.29/0.95      inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.29/0.95  thf(intersection1, axiom,
% 1.29/0.95    (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.29/0.95  thf(zip_derived_cl20, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.95         (~ (member @ X0 @ (intersection @ X1 @ X2)) |  (member @ X0 @ X1))),
% 1.29/0.95      inference('cnf', [status(esa)], [intersection1])).
% 1.29/0.95  thf(zip_derived_cl557, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.95         ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 1.29/0.95          |  (member @ 
% 1.29/0.95              (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 1.29/0.95  thf(regularity1, axiom,
% 1.29/0.95    (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.29/0.95  thf(zip_derived_cl65, plain,
% 1.29/0.95      (![X0 : $i]: (((X0) = (null_class)) |  (member @ (regular @ X0) @ X0))),
% 1.29/0.95      inference('cnf', [status(esa)], [regularity1])).
% 1.29/0.95  thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.29/0.95  thf(zip_derived_cl3, plain, (![X0 : $i]:  (subclass @ X0 @ universal_class)),
% 1.29/0.95      inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.29/0.95  thf(subclass_members, axiom,
% 1.29/0.95    (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.29/0.95  thf(zip_derived_cl0, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.95         (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) |  (member @ X2 @ X1))),
% 1.29/0.95      inference('cnf', [status(esa)], [subclass_members])).
% 1.29/0.95  thf(zip_derived_cl494, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         (~ (member @ X1 @ X0) |  (member @ X1 @ universal_class))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.29/0.95  thf(zip_derived_cl526, plain,
% 1.29/0.95      (![X0 : $i]:
% 1.29/0.95         (((X0) = (null_class)) |  (member @ (regular @ X0) @ universal_class))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl494])).
% 1.29/0.95  thf(zip_derived_cl65, plain,
% 1.29/0.95      (![X0 : $i]: (((X0) = (null_class)) |  (member @ (regular @ X0) @ X0))),
% 1.29/0.95      inference('cnf', [status(esa)], [regularity1])).
% 1.29/0.95  thf(complement1, axiom,
% 1.29/0.95    (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.29/0.95  thf(zip_derived_cl23, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.29/0.95      inference('cnf', [status(esa)], [complement1])).
% 1.29/0.95  thf(zip_derived_cl529, plain,
% 1.29/0.95      (![X0 : $i]:
% 1.29/0.95         (((complement @ X0) = (null_class))
% 1.29/0.95          | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 1.29/0.95  thf(zip_derived_cl555, plain,
% 1.29/0.95      ((((complement @ universal_class) = (null_class))
% 1.29/0.95        | ((complement @ universal_class) = (null_class)))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl526, zip_derived_cl529])).
% 1.29/0.95  thf(zip_derived_cl556, plain,
% 1.29/0.95      (((complement @ universal_class) = (null_class))),
% 1.29/0.95      inference('simplify', [status(thm)], [zip_derived_cl555])).
% 1.29/0.95  thf(zip_derived_cl23, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.29/0.95      inference('cnf', [status(esa)], [complement1])).
% 1.29/0.95  thf(zip_derived_cl562, plain,
% 1.29/0.95      (![X0 : $i]:
% 1.29/0.95         (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl556, zip_derived_cl23])).
% 1.29/0.95  thf(zip_derived_cl494, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         (~ (member @ X1 @ X0) |  (member @ X1 @ universal_class))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.29/0.95  thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.29/0.95      inference('clc', [status(thm)], [zip_derived_cl562, zip_derived_cl494])).
% 1.29/0.95  thf(zip_derived_cl1492, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:  (subclass @ (intersection @ null_class @ X1) @ X0)),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl570])).
% 1.29/0.95  thf(zip_derived_cl1, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.29/0.95          |  (subclass @ X0 @ X1))),
% 1.29/0.95      inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.29/0.95  thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.29/0.95      inference('clc', [status(thm)], [zip_derived_cl562, zip_derived_cl494])).
% 1.29/0.95  thf(zip_derived_cl571, plain, (![X0 : $i]:  (subclass @ null_class @ X0)),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl570])).
% 1.29/0.95  thf(subclass_implies_equal, axiom,
% 1.29/0.95    (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.29/0.95  thf(zip_derived_cl6, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 1.29/0.95      inference('cnf', [status(esa)], [subclass_implies_equal])).
% 1.29/0.95  thf(zip_derived_cl574, plain,
% 1.29/0.95      (![X0 : $i]: (~ (subclass @ X0 @ null_class) | ((null_class) = (X0)))),
% 1.29/0.95      inference('s_sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl6])).
% 1.29/0.95  thf(zip_derived_cl1530, plain,
% 1.29/0.95      (![X0 : $i]: ((null_class) = (intersection @ null_class @ X0))),
% 1.29/0.95      inference('s_sup-', [status(thm)],
% 1.29/0.95                [zip_derived_cl1492, zip_derived_cl574])).
% 1.29/0.95  thf(zip_derived_cl1532, plain, (((null_class) != (null_class))),
% 1.29/0.95      inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl1530])).
% 1.29/0.95  thf(zip_derived_cl1533, plain, ($false),
% 1.29/0.95      inference('simplify', [status(thm)], [zip_derived_cl1532])).
% 1.29/0.95  
% 1.29/0.95  % SZS output end Refutation
% 1.29/0.95  
% 1.29/0.95  
% 1.29/0.95  % Terminating...
% 1.79/1.05  % Runner terminated.
% 1.93/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------