TSTP Solution File: SET147-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET147-6 : 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.IA4TFMmjPB true

% Computer : n015.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 32.93s 5.29s
% Output   : Refutation 32.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET147-6 : 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.IA4TFMmjPB true
% 0.13/0.35  % Computer : n015.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 : Sat Aug 26 16:33:23 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
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 32.93/5.29  % Solved by fo/fo6_bce.sh.
% 32.93/5.29  % BCE start: 113
% 32.93/5.29  % BCE eliminated: 1
% 32.93/5.29  % PE start: 112
% 32.93/5.29  logic: eq
% 32.93/5.29  % PE eliminated: 19
% 32.93/5.29  % done 2710 iterations in 4.541s
% 32.93/5.29  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 32.93/5.29  % SZS output start Refutation
% 32.93/5.29  thf(universal_class_type, type, universal_class: $i).
% 32.93/5.29  thf(member_type, type, member: $i > $i > $o).
% 32.93/5.29  thf(x_type, type, x: $i).
% 32.93/5.29  thf(intersection_type, type, intersection: $i > $i > $i).
% 32.93/5.29  thf(subclass_type, type, subclass: $i > $i > $o).
% 32.93/5.29  thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 32.93/5.29  thf(prove_identity_for_intersection_1, conjecture,
% 32.93/5.29    (( intersection @ universal_class @ x ) = ( x ))).
% 32.93/5.29  thf(zf_stmt_0, negated_conjecture,
% 32.93/5.29    (( intersection @ universal_class @ x ) != ( x )),
% 32.93/5.29    inference('cnf.neg', [status(esa)], [prove_identity_for_intersection_1])).
% 32.93/5.29  thf(zip_derived_cl112, plain,
% 32.93/5.29      (((intersection @ universal_class @ x) != (x))),
% 32.93/5.29      inference('cnf', [status(esa)], [zf_stmt_0])).
% 32.93/5.29  thf(not_subclass_members1, axiom,
% 32.93/5.29    (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 32.93/5.29  thf(zip_derived_cl1, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 32.93/5.29          |  (subclass @ X0 @ X1))),
% 32.93/5.29      inference('cnf', [status(esa)], [not_subclass_members1])).
% 32.93/5.29  thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 32.93/5.29  thf(zip_derived_cl3, plain, (![X0 : $i]:  (subclass @ X0 @ universal_class)),
% 32.93/5.29      inference('cnf', [status(esa)], [class_elements_are_sets])).
% 32.93/5.29  thf(subclass_members, axiom,
% 32.93/5.29    (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 32.93/5.29  thf(zip_derived_cl0, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.93/5.29         (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) |  (member @ X2 @ X1))),
% 32.93/5.29      inference('cnf', [status(esa)], [subclass_members])).
% 32.93/5.29  thf(zip_derived_cl492, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         (~ (member @ X1 @ X0) |  (member @ X1 @ universal_class))),
% 32.93/5.29      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 32.93/5.29  thf(zip_derived_cl525, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         ( (subclass @ X0 @ X1)
% 32.93/5.29          |  (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 32.93/5.29      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl492])).
% 32.93/5.29  thf(zip_derived_cl1, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 32.93/5.29          |  (subclass @ X0 @ X1))),
% 32.93/5.29      inference('cnf', [status(esa)], [not_subclass_members1])).
% 32.93/5.29  thf(intersection3, axiom,
% 32.93/5.29    (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) | 
% 32.93/5.29     ( member @ Z @ ( intersection @ X @ Y ) ))).
% 32.93/5.29  thf(zip_derived_cl22, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.93/5.29         (~ (member @ X0 @ X1)
% 32.93/5.29          | ~ (member @ X0 @ X2)
% 32.93/5.29          |  (member @ X0 @ (intersection @ X1 @ X2)))),
% 32.93/5.29      inference('cnf', [status(esa)], [intersection3])).
% 32.93/5.29  thf(not_subclass_members2, axiom,
% 32.93/5.29    (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) | 
% 32.93/5.29     ( subclass @ X @ Y ))).
% 32.93/5.29  thf(zip_derived_cl2, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 32.93/5.29          |  (subclass @ X0 @ X1))),
% 32.93/5.29      inference('cnf', [status(esa)], [not_subclass_members2])).
% 32.93/5.29  thf(zip_derived_cl572, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.93/5.29         (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ 
% 32.93/5.29             X0)
% 32.93/5.29          | ~ (member @ 
% 32.93/5.29               (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 32.93/5.29          |  (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 32.93/5.29      inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 32.93/5.29  thf(zip_derived_cl1547, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         ( (subclass @ X0 @ (intersection @ X1 @ X0))
% 32.93/5.29          | ~ (member @ 
% 32.93/5.29               (not_subclass_element @ X0 @ (intersection @ X1 @ X0)) @ X1)
% 32.93/5.29          |  (subclass @ X0 @ (intersection @ X1 @ X0)))),
% 32.93/5.29      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl572])).
% 32.93/5.29  thf(zip_derived_cl1572, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         (~ (member @ (not_subclass_element @ X0 @ (intersection @ X1 @ X0)) @ 
% 32.93/5.29             X1)
% 32.93/5.29          |  (subclass @ X0 @ (intersection @ X1 @ X0)))),
% 32.93/5.29      inference('simplify', [status(thm)], [zip_derived_cl1547])).
% 32.93/5.29  thf(zip_derived_cl29834, plain,
% 32.93/5.29      (![X0 : $i]:
% 32.93/5.29         ( (subclass @ X0 @ (intersection @ universal_class @ X0))
% 32.93/5.29          |  (subclass @ X0 @ (intersection @ universal_class @ X0)))),
% 32.93/5.29      inference('s_sup-', [status(thm)],
% 32.93/5.29                [zip_derived_cl525, zip_derived_cl1572])).
% 32.93/5.29  thf(zip_derived_cl29964, plain,
% 32.93/5.29      (![X0 : $i]:  (subclass @ X0 @ (intersection @ universal_class @ X0))),
% 32.93/5.29      inference('simplify', [status(thm)], [zip_derived_cl29834])).
% 32.93/5.29  thf(zip_derived_cl1, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 32.93/5.29          |  (subclass @ X0 @ X1))),
% 32.93/5.29      inference('cnf', [status(esa)], [not_subclass_members1])).
% 32.93/5.29  thf(intersection2, axiom,
% 32.93/5.29    (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 32.93/5.29  thf(zip_derived_cl21, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.93/5.29         (~ (member @ X0 @ (intersection @ X1 @ X2)) |  (member @ X0 @ X2))),
% 32.93/5.29      inference('cnf', [status(esa)], [intersection2])).
% 32.93/5.29  thf(zip_derived_cl559, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i, X2 : $i]:
% 32.93/5.29         ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 32.93/5.29          |  (member @ 
% 32.93/5.29              (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X0))),
% 32.93/5.29      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 32.93/5.29  thf(zip_derived_cl2, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 32.93/5.29          |  (subclass @ X0 @ X1))),
% 32.93/5.29      inference('cnf', [status(esa)], [not_subclass_members2])).
% 32.93/5.29  thf(zip_derived_cl1420, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         ( (subclass @ (intersection @ X1 @ X0) @ X0)
% 32.93/5.29          |  (subclass @ (intersection @ X1 @ X0) @ X0))),
% 32.93/5.29      inference('s_sup-', [status(thm)], [zip_derived_cl559, zip_derived_cl2])).
% 32.93/5.29  thf(zip_derived_cl1441, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:  (subclass @ (intersection @ X1 @ X0) @ X0)),
% 32.93/5.29      inference('simplify', [status(thm)], [zip_derived_cl1420])).
% 32.93/5.29  thf(subclass_implies_equal, axiom,
% 32.93/5.29    (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 32.93/5.29  thf(zip_derived_cl6, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 32.93/5.29      inference('cnf', [status(esa)], [subclass_implies_equal])).
% 32.93/5.29  thf(zip_derived_cl1444, plain,
% 32.93/5.29      (![X0 : $i, X1 : $i]:
% 32.93/5.29         (~ (subclass @ X0 @ (intersection @ X1 @ X0))
% 32.93/5.29          | ((intersection @ X1 @ X0) = (X0)))),
% 32.93/5.29      inference('s_sup-', [status(thm)], [zip_derived_cl1441, zip_derived_cl6])).
% 32.93/5.29  thf(zip_derived_cl30022, plain,
% 32.93/5.29      (![X0 : $i]: ((intersection @ universal_class @ X0) = (X0))),
% 32.93/5.29      inference('s_sup-', [status(thm)],
% 32.93/5.29                [zip_derived_cl29964, zip_derived_cl1444])).
% 32.93/5.29  thf(zip_derived_cl30047, plain, (((x) != (x))),
% 32.93/5.29      inference('demod', [status(thm)],
% 32.93/5.29                [zip_derived_cl112, zip_derived_cl30022])).
% 32.93/5.29  thf(zip_derived_cl30048, plain, ($false),
% 32.93/5.29      inference('simplify', [status(thm)], [zip_derived_cl30047])).
% 32.93/5.29  
% 32.93/5.29  % SZS output end Refutation
% 32.93/5.29  
% 32.93/5.29  
% 32.93/5.29  % Terminating...
% 33.33/5.35  % Runner terminated.
% 33.33/5.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------