TSTP Solution File: SET090-7 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : SET090-7 : 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.YCrrxF4SXQ true

% Computer : n020.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 16:12:37 EDT 2023

% Result   : Unsatisfiable 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET090-7 : 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.YCrrxF4SXQ true
% 0.14/0.35  % Computer : n020.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 11:43:00 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % 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/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77  % Solved by fo/fo3_bce.sh.
% 0.21/0.77  % BCE start: 56
% 0.21/0.77  % BCE eliminated: 1
% 0.21/0.77  % PE start: 55
% 0.21/0.77  logic: eq
% 0.21/0.77  % PE eliminated: 0
% 0.21/0.77  % done 41 iterations in 0.021s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% 0.21/0.77  thf(universal_class_type, type, universal_class: $i).
% 0.21/0.77  thf(u_type, type, u: $i).
% 0.21/0.77  thf(member_type, type, member: $i > $i > $o).
% 0.21/0.77  thf(member_of_type, type, member_of: $i > $i).
% 0.21/0.77  thf(singleton_type, type, singleton: $i > $i).
% 0.21/0.77  thf(member_exists2, axiom,
% 0.21/0.77    (( ~( member @ Y @ universal_class ) ) | 
% 0.21/0.77     ( ( singleton @ ( member_of @ ( singleton @ Y ) ) ) = ( singleton @ Y ) ))).
% 0.21/0.77  thf(zip_derived_cl51, plain,
% 0.21/0.77      (![X0 : $i]:
% 0.21/0.77         (~ (member @ X0 @ universal_class)
% 0.21/0.77          | ((singleton @ (member_of @ (singleton @ X0))) = (singleton @ X0)))),
% 0.21/0.77      inference('cnf', [status(esa)], [member_exists2])).
% 0.21/0.77  thf(prove_member_of_singleton_is_unique_1, conjecture,
% 0.21/0.77    (~( member @ u @ universal_class ))).
% 0.21/0.77  thf(zf_stmt_0, negated_conjecture, (member @ u @ universal_class),
% 0.21/0.77    inference('cnf.neg', [status(esa)], [prove_member_of_singleton_is_unique_1])).
% 0.21/0.77  thf(zip_derived_cl55, plain, ( (member @ u @ universal_class)),
% 0.21/0.77      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77  thf(zip_derived_cl220, plain,
% 0.21/0.77      (((singleton @ (member_of @ (singleton @ u))) = (singleton @ u))),
% 0.21/0.77      inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl55])).
% 0.21/0.77  thf(zip_derived_cl55, plain, ( (member @ u @ universal_class)),
% 0.21/0.77      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77  thf(singleton_identified_by_element1, axiom,
% 0.21/0.77    (( ( singleton @ X ) != ( singleton @ Y ) ) | 
% 0.21/0.77     ( ~( member @ X @ universal_class ) ) | ( ( X ) = ( Y ) ))).
% 0.21/0.77  thf(zip_derived_cl47, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i]:
% 0.21/0.77         (((singleton @ X1) != (singleton @ X0))
% 0.21/0.77          | ~ (member @ X1 @ universal_class)
% 0.21/0.77          | ((X1) = (X0)))),
% 0.21/0.77      inference('cnf', [status(esa)], [singleton_identified_by_element1])).
% 0.21/0.77  thf(zip_derived_cl248, plain,
% 0.21/0.77      (![X0 : $i]: (((u) = (X0)) | ((singleton @ u) != (singleton @ X0)))),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl47])).
% 0.21/0.77  thf(zip_derived_cl250, plain,
% 0.21/0.77      ((((singleton @ u) != (singleton @ u))
% 0.21/0.77        | ((u) = (member_of @ (singleton @ u))))),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl248])).
% 0.21/0.77  thf(zip_derived_cl252, plain, (((u) = (member_of @ (singleton @ u)))),
% 0.21/0.77      inference('simplify', [status(thm)], [zip_derived_cl250])).
% 0.21/0.77  thf(prove_member_of_singleton_is_unique_2, conjecture,
% 0.21/0.77    (( member_of @ ( singleton @ u ) ) = ( u ))).
% 0.21/0.77  thf(zf_stmt_1, negated_conjecture,
% 0.21/0.77    (( member_of @ ( singleton @ u ) ) != ( u )),
% 0.21/0.77    inference('cnf.neg', [status(esa)], [prove_member_of_singleton_is_unique_2])).
% 0.21/0.77  thf(zip_derived_cl54, plain, (((member_of @ (singleton @ u)) != (u))),
% 0.21/0.77      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77  thf(zip_derived_cl253, plain, ($false),
% 0.21/0.77      inference('simplify_reflect-', [status(thm)],
% 0.21/0.77                [zip_derived_cl252, zip_derived_cl54])).
% 0.21/0.77  
% 0.21/0.77  % SZS output end Refutation
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 1.30/0.87  % Runner terminated.
% 1.58/0.88  % Zipperpin 1.5 exiting
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