TSTP Solution File: SET078-7 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : SET078-7 : 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.L8tq4rSvBl true

% Computer : n024.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 16:12:29 EDT 2023

% Result   : Unsatisfiable 1.14s 0.78s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET078-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L8tq4rSvBl true
% 0.13/0.35  % Computer : n024.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 08:47:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 1.14/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.14/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.14/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.14/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.14/0.78  % Solved by fo/fo3_bce.sh.
% 1.14/0.78  % BCE start: 62
% 1.14/0.78  % BCE eliminated: 2
% 1.14/0.78  % PE start: 60
% 1.14/0.78  logic: eq
% 1.14/0.78  % PE eliminated: 9
% 1.14/0.78  % done 49 iterations in 0.031s
% 1.14/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.14/0.78  % SZS output start Refutation
% 1.14/0.78  thf(universal_class_type, type, universal_class: $i).
% 1.14/0.78  thf(member_type, type, member: $i > $i > $o).
% 1.14/0.78  thf(y_type, type, y: $i).
% 1.14/0.78  thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.14/0.78  thf(singleton_type, type, singleton: $i > $i).
% 1.14/0.78  thf(x_type, type, x: $i).
% 1.14/0.78  thf(prove_corollary_1_to_singletons_are_sets_1, conjecture,
% 1.14/0.78    (member @ ( singleton @ y ) @ ( unordered_pair @ x @ ( singleton @ y ) ))).
% 1.14/0.78  thf(zf_stmt_0, negated_conjecture,
% 1.14/0.78    (~( member @ ( singleton @ y ) @ ( unordered_pair @ x @ ( singleton @ y ) ) )),
% 1.14/0.78    inference('cnf.neg', [status(esa)],
% 1.14/0.78              [prove_corollary_1_to_singletons_are_sets_1])).
% 1.14/0.78  thf(zip_derived_cl61, plain,
% 1.14/0.78      (~ (member @ (singleton @ y) @ (unordered_pair @ x @ (singleton @ y)))),
% 1.14/0.78      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.14/0.78  thf(unordered_pair3, axiom,
% 1.14/0.78    (( ~( member @ Y @ universal_class ) ) | 
% 1.14/0.78     ( member @ Y @ ( unordered_pair @ X @ Y ) ))).
% 1.14/0.78  thf(zip_derived_cl7, plain,
% 1.14/0.78      (![X0 : $i, X1 : $i]:
% 1.14/0.78         (~ (member @ X0 @ universal_class)
% 1.14/0.78          |  (member @ X0 @ (unordered_pair @ X1 @ X0)))),
% 1.14/0.78      inference('cnf', [status(esa)], [unordered_pair3])).
% 1.14/0.78  thf(zip_derived_cl328, plain,
% 1.14/0.78      (~ (member @ (singleton @ y) @ universal_class)),
% 1.14/0.78      inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl7])).
% 1.14/0.78  thf(singletons_are_sets, axiom,
% 1.14/0.78    (member @ ( singleton @ X ) @ universal_class)).
% 1.14/0.78  thf(zip_derived_cl60, plain,
% 1.14/0.78      (![X0 : $i]:  (member @ (singleton @ X0) @ universal_class)),
% 1.14/0.78      inference('cnf', [status(esa)], [singletons_are_sets])).
% 1.14/0.78  thf(zip_derived_cl334, plain, ($false),
% 1.14/0.78      inference('demod', [status(thm)], [zip_derived_cl328, zip_derived_cl60])).
% 1.14/0.78  
% 1.14/0.78  % SZS output end Refutation
% 1.14/0.78  
% 1.14/0.78  
% 1.14/0.78  % Terminating...
% 1.77/0.87  % Runner terminated.
% 1.78/0.88  % Zipperpin 1.5 exiting
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