TSTP Solution File: NUM009-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.juRY72upOG true

% Computer : n022.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 12:38:56 EDT 2023

% Result   : Unsatisfiable 1.41s 0.90s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.juRY72upOG true
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 15:54:40 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
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.30/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 1.30/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 1.41/0.90  % Solved by fo/fo5.sh.
% 1.41/0.90  % done 204 iterations in 0.116s
% 1.41/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.41/0.90  % SZS output start Refutation
% 1.41/0.90  thf(f44_type, type, f44: $i > $i).
% 1.41/0.90  thf(empty_set_type, type, empty_set: $i).
% 1.41/0.90  thf(natural_numbers_type, type, natural_numbers: $i).
% 1.41/0.90  thf(member_type, type, member: $i > $i > $o).
% 1.41/0.90  thf(little_set_type, type, little_set: $i > $o).
% 1.41/0.90  thf(infinity_type, type, infinity: $i).
% 1.41/0.90  thf(prove_zero_is_a_natural, conjecture,
% 1.41/0.90    (member @ empty_set @ natural_numbers)).
% 1.41/0.90  thf(zf_stmt_0, negated_conjecture,
% 1.41/0.90    (~( member @ empty_set @ natural_numbers )),
% 1.41/0.90    inference('cnf.neg', [status(esa)], [prove_zero_is_a_natural])).
% 1.41/0.90  thf(zip_derived_cl219, plain, (~ (member @ empty_set @ natural_numbers)),
% 1.41/0.90      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.41/0.90  thf(natural_numbers4, axiom,
% 1.41/0.90    (( member @ Z @ natural_numbers ) | ( ~( little_set @ Z ) ) | 
% 1.41/0.90     ( member @ empty_set @ ( f44 @ Z ) ))).
% 1.41/0.90  thf(zip_derived_cl168, plain,
% 1.41/0.90      (![X0 : $i]:
% 1.41/0.90         ( (member @ X0 @ natural_numbers)
% 1.41/0.90          | ~ (little_set @ X0)
% 1.41/0.90          |  (member @ empty_set @ (f44 @ X0)))),
% 1.41/0.90      inference('cnf', [status(esa)], [natural_numbers4])).
% 1.41/0.90  thf(natural_numbers6, axiom,
% 1.41/0.90    (( member @ Z @ natural_numbers ) | ( ~( member @ Z @ ( f44 @ Z ) ) ))).
% 1.41/0.90  thf(zip_derived_cl170, plain,
% 1.41/0.90      (![X0 : $i]:
% 1.41/0.90         ( (member @ X0 @ natural_numbers) | ~ (member @ X0 @ (f44 @ X0)))),
% 1.41/0.90      inference('cnf', [status(esa)], [natural_numbers6])).
% 1.41/0.90  thf(zip_derived_cl677, plain,
% 1.41/0.90      ((~ (little_set @ empty_set)
% 1.41/0.90        |  (member @ empty_set @ natural_numbers)
% 1.41/0.90        |  (member @ empty_set @ natural_numbers))),
% 1.41/0.90      inference('sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl170])).
% 1.41/0.90  thf(infinity2, axiom, (member @ empty_set @ infinity)).
% 1.41/0.90  thf(zip_derived_cl60, plain, ( (member @ empty_set @ infinity)),
% 1.41/0.90      inference('cnf', [status(esa)], [infinity2])).
% 1.41/0.90  thf(a2, axiom, (( ~( member @ X @ Y ) ) | ( little_set @ X ))).
% 1.41/0.90  thf(zip_derived_cl0, plain,
% 1.41/0.90      (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) |  (little_set @ X0))),
% 1.41/0.90      inference('cnf', [status(esa)], [a2])).
% 1.41/0.90  thf(zip_derived_cl221, plain, ( (little_set @ empty_set)),
% 1.41/0.90      inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl0])).
% 1.41/0.90  thf(zip_derived_cl680, plain,
% 1.41/0.90      (( (member @ empty_set @ natural_numbers)
% 1.41/0.90        |  (member @ empty_set @ natural_numbers))),
% 1.41/0.90      inference('demod', [status(thm)], [zip_derived_cl677, zip_derived_cl221])).
% 1.41/0.90  thf(zip_derived_cl681, plain, ( (member @ empty_set @ natural_numbers)),
% 1.41/0.90      inference('simplify', [status(thm)], [zip_derived_cl680])).
% 1.41/0.90  thf(zip_derived_cl732, plain, ($false),
% 1.41/0.90      inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl681])).
% 1.41/0.90  
% 1.41/0.90  % SZS output end Refutation
% 1.41/0.90  
% 1.41/0.90  
% 1.41/0.90  % Terminating...
% 1.55/0.97  % Runner terminated.
% 1.55/0.98  % Zipperpin 1.5 exiting
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