TSTP Solution File: SET148-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET148-6 : 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.pJTbBm3FNs 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 16:13:03 EDT 2023

% Result   : Unsatisfiable 14.32s 2.70s
% Output   : Refutation 14.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET148-6 : 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.pJTbBm3FNs 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 10:09:47 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
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.98/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.98/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.98/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.98/0.82  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 14.32/2.70  % Solved by fo/fo6_bce.sh.
% 14.32/2.70  % BCE start: 113
% 14.32/2.70  % BCE eliminated: 1
% 14.32/2.70  % PE start: 112
% 14.32/2.70  logic: eq
% 14.32/2.70  % PE eliminated: 19
% 14.32/2.70  % done 932 iterations in 1.909s
% 14.32/2.70  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.32/2.70  % SZS output start Refutation
% 14.32/2.70  thf(member_type, type, member: $i > $i > $o).
% 14.32/2.70  thf(x_type, type, x: $i).
% 14.32/2.70  thf(intersection_type, type, intersection: $i > $i > $i).
% 14.32/2.70  thf(subclass_type, type, subclass: $i > $i > $o).
% 14.32/2.70  thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 14.32/2.70  thf(prove_idempotency_of_intersection_1, conjecture,
% 14.32/2.70    (( intersection @ x @ x ) = ( x ))).
% 14.32/2.70  thf(zf_stmt_0, negated_conjecture, (( intersection @ x @ x ) != ( x )),
% 14.32/2.70    inference('cnf.neg', [status(esa)], [prove_idempotency_of_intersection_1])).
% 14.32/2.70  thf(zip_derived_cl112, plain, (((intersection @ x @ x) != (x))),
% 14.32/2.70      inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.32/2.70  thf(not_subclass_members1, axiom,
% 14.32/2.70    (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 14.32/2.70  thf(zip_derived_cl1, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 14.32/2.70          |  (subclass @ X0 @ X1))),
% 14.32/2.70      inference('cnf', [status(esa)], [not_subclass_members1])).
% 14.32/2.70  thf(intersection3, axiom,
% 14.32/2.70    (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) | 
% 14.32/2.70     ( member @ Z @ ( intersection @ X @ Y ) ))).
% 14.32/2.70  thf(zip_derived_cl22, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.32/2.70         (~ (member @ X0 @ X1)
% 14.32/2.70          | ~ (member @ X0 @ X2)
% 14.32/2.70          |  (member @ X0 @ (intersection @ X1 @ X2)))),
% 14.32/2.70      inference('cnf', [status(esa)], [intersection3])).
% 14.32/2.70  thf(not_subclass_members2, axiom,
% 14.32/2.70    (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) | 
% 14.32/2.70     ( subclass @ X @ Y ))).
% 14.32/2.70  thf(zip_derived_cl2, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 14.32/2.70          |  (subclass @ X0 @ X1))),
% 14.32/2.70      inference('cnf', [status(esa)], [not_subclass_members2])).
% 14.32/2.70  thf(zip_derived_cl604, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.32/2.70         (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ 
% 14.32/2.70             X0)
% 14.32/2.70          | ~ (member @ 
% 14.32/2.70               (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 14.32/2.70          |  (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 14.32/2.70      inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 14.32/2.70  thf(zip_derived_cl2169, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         ( (subclass @ X1 @ (intersection @ X0 @ X0))
% 14.32/2.70          | ~ (member @ 
% 14.32/2.70               (not_subclass_element @ X1 @ (intersection @ X0 @ X0)) @ X0))),
% 14.32/2.70      inference('eq_fact', [status(thm)], [zip_derived_cl604])).
% 14.32/2.70  thf(zip_derived_cl6975, plain,
% 14.32/2.70      (![X0 : $i]:
% 14.32/2.70         ( (subclass @ X0 @ (intersection @ X0 @ X0))
% 14.32/2.70          |  (subclass @ X0 @ (intersection @ X0 @ X0)))),
% 14.32/2.70      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2169])).
% 14.32/2.70  thf(zip_derived_cl6998, plain,
% 14.32/2.70      (![X0 : $i]:  (subclass @ X0 @ (intersection @ X0 @ X0))),
% 14.32/2.70      inference('simplify', [status(thm)], [zip_derived_cl6975])).
% 14.32/2.70  thf(zip_derived_cl1, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 14.32/2.70          |  (subclass @ X0 @ X1))),
% 14.32/2.70      inference('cnf', [status(esa)], [not_subclass_members1])).
% 14.32/2.70  thf(intersection1, axiom,
% 14.32/2.70    (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 14.32/2.70  thf(zip_derived_cl20, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.32/2.70         (~ (member @ X0 @ (intersection @ X1 @ X2)) |  (member @ X0 @ X1))),
% 14.32/2.70      inference('cnf', [status(esa)], [intersection1])).
% 14.32/2.70  thf(zip_derived_cl550, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.32/2.70         ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 14.32/2.70          |  (member @ 
% 14.32/2.70              (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 14.32/2.70      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 14.32/2.70  thf(zip_derived_cl2, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 14.32/2.70          |  (subclass @ X0 @ X1))),
% 14.32/2.70      inference('cnf', [status(esa)], [not_subclass_members2])).
% 14.32/2.70  thf(zip_derived_cl1382, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         ( (subclass @ (intersection @ X0 @ X1) @ X0)
% 14.32/2.70          |  (subclass @ (intersection @ X0 @ X1) @ X0))),
% 14.32/2.70      inference('s_sup-', [status(thm)], [zip_derived_cl550, zip_derived_cl2])).
% 14.32/2.70  thf(zip_derived_cl1402, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:  (subclass @ (intersection @ X0 @ X1) @ X0)),
% 14.32/2.70      inference('simplify', [status(thm)], [zip_derived_cl1382])).
% 14.32/2.70  thf(subclass_implies_equal, axiom,
% 14.32/2.70    (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 14.32/2.70  thf(zip_derived_cl6, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 14.32/2.70      inference('cnf', [status(esa)], [subclass_implies_equal])).
% 14.32/2.70  thf(zip_derived_cl1405, plain,
% 14.32/2.70      (![X0 : $i, X1 : $i]:
% 14.32/2.70         (~ (subclass @ X0 @ (intersection @ X0 @ X1))
% 14.32/2.70          | ((intersection @ X0 @ X1) = (X0)))),
% 14.32/2.70      inference('s_sup-', [status(thm)], [zip_derived_cl1402, zip_derived_cl6])).
% 14.32/2.70  thf(zip_derived_cl7032, plain,
% 14.32/2.70      (![X0 : $i]: ((intersection @ X0 @ X0) = (X0))),
% 14.32/2.70      inference('s_sup-', [status(thm)],
% 14.32/2.70                [zip_derived_cl6998, zip_derived_cl1405])).
% 14.32/2.70  thf(zip_derived_cl7048, plain, (((x) != (x))),
% 14.32/2.70      inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl7032])).
% 14.32/2.70  thf(zip_derived_cl7049, plain, ($false),
% 14.32/2.70      inference('simplify', [status(thm)], [zip_derived_cl7048])).
% 14.32/2.70  
% 14.32/2.70  % SZS output end Refutation
% 14.32/2.70  
% 14.32/2.70  
% 14.32/2.70  % Terminating...
% 14.81/2.77  % Runner terminated.
% 14.81/2.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------