TSTP Solution File: SET096-7 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET096-7 : 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.bZCK46UIks true

% Computer : n004.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 16:12:41 EDT 2023

% Result   : Unsatisfiable 1.45s 0.83s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bZCK46UIks true
% 0.14/0.35  % Computer : n004.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 11:30:08 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.32/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.45/0.83  % Solved by fo/fo5.sh.
% 1.45/0.83  % done 129 iterations in 0.047s
% 1.45/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/0.83  % SZS output start Refutation
% 1.45/0.83  thf(null_class_type, type, null_class: $i).
% 1.45/0.83  thf(member_type, type, member: $i > $i > $o).
% 1.45/0.83  thf(y_type, type, y: $i).
% 1.45/0.83  thf(x_type, type, x: $i).
% 1.45/0.83  thf(singleton_type, type, singleton: $i > $i).
% 1.45/0.83  thf(subclass_type, type, subclass: $i > $i > $o).
% 1.45/0.83  thf(regular_type, type, regular: $i > $i).
% 1.45/0.83  thf(prove_two_subsets_of_singleton_1, conjecture,
% 1.45/0.83    (~( subclass @ x @ ( singleton @ y ) ))).
% 1.45/0.83  thf(zf_stmt_0, negated_conjecture, (subclass @ x @ ( singleton @ y )),
% 1.45/0.83    inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_1])).
% 1.45/0.83  thf(zip_derived_cl139, plain, ( (subclass @ x @ (singleton @ y))),
% 1.45/0.83      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.45/0.83  thf(subclass_implies_equal, axiom,
% 1.45/0.83    (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.45/0.83  thf(zip_derived_cl6, plain,
% 1.45/0.83      (![X0 : $i, X1 : $i]:
% 1.45/0.83         (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 1.45/0.83      inference('cnf', [status(esa)], [subclass_implies_equal])).
% 1.45/0.83  thf(zip_derived_cl214, plain,
% 1.45/0.83      ((((x) = (singleton @ y)) | ~ (subclass @ (singleton @ y) @ x))),
% 1.45/0.83      inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl6])).
% 1.45/0.83  thf(prove_two_subsets_of_singleton_3, conjecture,
% 1.45/0.83    (( singleton @ y ) = ( x ))).
% 1.45/0.83  thf(zf_stmt_1, negated_conjecture, (( singleton @ y ) != ( x )),
% 1.45/0.83    inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_3])).
% 1.45/0.83  thf(zip_derived_cl141, plain, (((singleton @ y) != (x))),
% 1.45/0.83      inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.45/0.83  thf(zip_derived_cl217, plain, (~ (subclass @ (singleton @ y) @ x)),
% 1.45/0.83      inference('simplify_reflect-', [status(thm)],
% 1.45/0.83                [zip_derived_cl214, zip_derived_cl141])).
% 1.45/0.83  thf(regularity1, axiom,
% 1.45/0.83    (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.45/0.83  thf(zip_derived_cl65, plain,
% 1.45/0.83      (![X0 : $i]: (((X0) = (null_class)) |  (member @ (regular @ X0) @ X0))),
% 1.45/0.83      inference('cnf', [status(esa)], [regularity1])).
% 1.45/0.83  thf(zip_derived_cl139, plain, ( (subclass @ x @ (singleton @ y))),
% 1.45/0.83      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.45/0.83  thf(subclass_members, axiom,
% 1.45/0.83    (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.45/0.83  thf(zip_derived_cl0, plain,
% 1.45/0.83      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.45/0.83         (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) |  (member @ X2 @ X1))),
% 1.45/0.83      inference('cnf', [status(esa)], [subclass_members])).
% 1.45/0.83  thf(zip_derived_cl145, plain,
% 1.45/0.83      (![X0 : $i]: ( (member @ X0 @ (singleton @ y)) | ~ (member @ X0 @ x))),
% 1.45/0.83      inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 1.45/0.83  thf(zip_derived_cl331, plain,
% 1.45/0.83      ((((x) = (null_class)) |  (member @ (regular @ x) @ (singleton @ y)))),
% 1.45/0.83      inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl145])).
% 1.45/0.83  thf(prove_two_subsets_of_singleton_2, conjecture, (( x ) = ( null_class ))).
% 1.45/0.83  thf(zf_stmt_2, negated_conjecture, (( x ) != ( null_class )),
% 1.45/0.83    inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_2])).
% 1.45/0.83  thf(zip_derived_cl140, plain, (((x) != (null_class))),
% 1.45/0.83      inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.45/0.83  thf(zip_derived_cl332, plain, ( (member @ (regular @ x) @ (singleton @ y))),
% 1.45/0.83      inference('simplify_reflect-', [status(thm)],
% 1.45/0.83                [zip_derived_cl331, zip_derived_cl140])).
% 1.45/0.83  thf(only_member_in_singleton, axiom,
% 1.45/0.83    (( ~( member @ Y @ ( singleton @ X ) ) ) | ( ( Y ) = ( X ) ))).
% 1.45/0.83  thf(zip_derived_cl124, plain,
% 1.45/0.83      (![X0 : $i, X1 : $i]:
% 1.45/0.83         (~ (member @ X0 @ (singleton @ X1)) | ((X0) = (X1)))),
% 1.45/0.83      inference('cnf', [status(esa)], [only_member_in_singleton])).
% 1.45/0.83  thf(zip_derived_cl394, plain, (((regular @ x) = (y))),
% 1.45/0.83      inference('sup-', [status(thm)], [zip_derived_cl332, zip_derived_cl124])).
% 1.45/0.83  thf(zip_derived_cl65, plain,
% 1.45/0.83      (![X0 : $i]: (((X0) = (null_class)) |  (member @ (regular @ X0) @ X0))),
% 1.45/0.83      inference('cnf', [status(esa)], [regularity1])).
% 1.45/0.83  thf(zip_derived_cl396, plain, (( (member @ y @ x) | ((x) = (null_class)))),
% 1.45/0.83      inference('sup+', [status(thm)], [zip_derived_cl394, zip_derived_cl65])).
% 1.45/0.83  thf(zip_derived_cl140, plain, (((x) != (null_class))),
% 1.45/0.83      inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.45/0.83  thf(zip_derived_cl397, plain, ( (member @ y @ x)),
% 1.45/0.83      inference('simplify_reflect-', [status(thm)],
% 1.45/0.83                [zip_derived_cl396, zip_derived_cl140])).
% 1.45/0.83  thf(property_of_singletons2, axiom,
% 1.45/0.83    (( ~( member @ X @ Y ) ) | ( subclass @ ( singleton @ X ) @ Y ))).
% 1.45/0.83  thf(zip_derived_cl138, plain,
% 1.45/0.83      (![X0 : $i, X1 : $i]:
% 1.45/0.83         (~ (member @ X0 @ X1) |  (subclass @ (singleton @ X0) @ X1))),
% 1.45/0.83      inference('cnf', [status(esa)], [property_of_singletons2])).
% 1.45/0.83  thf(zip_derived_cl398, plain, ( (subclass @ (singleton @ y) @ x)),
% 1.45/0.83      inference('sup-', [status(thm)], [zip_derived_cl397, zip_derived_cl138])).
% 1.45/0.83  thf(zip_derived_cl401, plain, ($false),
% 1.45/0.83      inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl398])).
% 1.45/0.83  
% 1.45/0.83  % SZS output end Refutation
% 1.45/0.83  
% 1.45/0.83  
% 1.45/0.83  % Terminating...
% 1.63/0.86  % Runner terminated.
% 1.63/0.87  % Zipperpin 1.5 exiting
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