TSTP Solution File: LCL086-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lTQPsqt2H8 true

% Computer : n015.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 08:58:07 EDT 2023

% Result   : Unsatisfiable 2.65s 1.00s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lTQPsqt2H8 true
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Aug 24 18:40:06 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.18/0.62  % Total configuration time : 435
% 0.18/0.62  % Estimated wc time : 1092
% 0.18/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 2.65/1.00  % Solved by fo/fo13.sh.
% 2.65/1.00  % done 85 iterations in 0.231s
% 2.65/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.65/1.00  % SZS output start Refutation
% 2.65/1.00  thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 2.65/1.00  thf(implies_type, type, implies: $i > $i > $i).
% 2.65/1.00  thf(a_type, type, a: $i).
% 2.65/1.00  thf(prove_ic_1, conjecture, (is_a_theorem @ ( implies @ a @ a ))).
% 2.65/1.00  thf(zf_stmt_0, negated_conjecture, (~( is_a_theorem @ ( implies @ a @ a ) )),
% 2.65/1.00    inference('cnf.neg', [status(esa)], [prove_ic_1])).
% 2.65/1.00  thf(zip_derived_cl2, plain, (~ (is_a_theorem @ (implies @ a @ a))),
% 2.65/1.00      inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.65/1.00  thf(ic_JLukasiewicz_4, axiom,
% 2.65/1.00    (is_a_theorem @
% 2.65/1.00     ( implies @
% 2.65/1.00       ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @ 
% 2.65/1.00       ( implies @ T @ ( implies @ ( implies @ S @ P ) @ ( implies @ R @ P ) ) ) ))).
% 2.65/1.00  thf(zip_derived_cl1, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @ 
% 2.65/1.00            (implies @ X4 @ 
% 2.65/1.00             (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 2.65/1.00      inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 2.65/1.00  thf(condensed_detachment, axiom,
% 2.65/1.00    (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) | 
% 2.65/1.00     ( is_a_theorem @ Y ))).
% 2.65/1.00  thf(zip_derived_cl0, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.65/1.00          | ~ (is_a_theorem @ X0)
% 2.65/1.00          |  (is_a_theorem @ X1))),
% 2.65/1.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 2.65/1.00  thf(zip_derived_cl3, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 2.65/1.00          |  (is_a_theorem @ 
% 2.65/1.00              (implies @ X3 @ 
% 2.65/1.00               (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 2.65/1.00  thf(zip_derived_cl0, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.65/1.00          | ~ (is_a_theorem @ X0)
% 2.65/1.00          |  (is_a_theorem @ X1))),
% 2.65/1.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 2.65/1.00  thf(zip_derived_cl7, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 2.65/1.00          | ~ (is_a_theorem @ X3)
% 2.65/1.00          |  (is_a_theorem @ 
% 2.65/1.00              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 2.65/1.00  thf(zip_derived_cl12, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 2.65/1.00          |  (is_a_theorem @ 
% 2.65/1.00              (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 2.65/1.00      inference('condensation', [status(thm)], [zip_derived_cl7])).
% 2.65/1.00  thf(zip_derived_cl1, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @ 
% 2.65/1.00            (implies @ X4 @ 
% 2.65/1.00             (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 2.65/1.00      inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 2.65/1.00  thf(zip_derived_cl15, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ 
% 2.65/1.00            (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ 
% 2.65/1.00             (implies @ X0 @ X4)) @ 
% 2.65/1.00            (implies @ X3 @ (implies @ X0 @ X4))))),
% 2.65/1.00      inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 2.65/1.00  thf(zip_derived_cl0, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.65/1.00          | ~ (is_a_theorem @ X0)
% 2.65/1.00          |  (is_a_theorem @ X1))),
% 2.65/1.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 2.65/1.00  thf(zip_derived_cl62, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ 
% 2.65/1.00              (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @ 
% 2.65/1.00              (implies @ X1 @ X0)))
% 2.65/1.00          |  (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 2.65/1.00  thf(zip_derived_cl0, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.65/1.00          | ~ (is_a_theorem @ X0)
% 2.65/1.00          |  (is_a_theorem @ X1))),
% 2.65/1.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 2.65/1.00  thf(zip_derived_cl84, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ 
% 2.65/1.00              (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @ 
% 2.65/1.00              (implies @ X1 @ X0)))
% 2.65/1.00          | ~ (is_a_theorem @ X2)
% 2.65/1.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.65/1.00  thf(zip_derived_cl155, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ 
% 2.65/1.00              (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @ 
% 2.65/1.00              (implies @ X1 @ X0)))
% 2.65/1.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.65/1.00      inference('condensation', [status(thm)], [zip_derived_cl84])).
% 2.65/1.00  thf(zip_derived_cl12, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 2.65/1.00          |  (is_a_theorem @ 
% 2.65/1.00              (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 2.65/1.00      inference('condensation', [status(thm)], [zip_derived_cl7])).
% 2.65/1.00  thf(zip_derived_cl166, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.65/1.00         ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 2.65/1.00          | ~ (is_a_theorem @ 
% 2.65/1.00               (implies @ (implies @ (implies @ X1 @ X0) @ X3) @ 
% 2.65/1.00                (implies @ X0 @ (implies @ X2 @ X0)))))),
% 2.65/1.00      inference('s_sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl12])).
% 2.65/1.00  thf(zip_derived_cl155, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ 
% 2.65/1.00              (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @ 
% 2.65/1.00              (implies @ X1 @ X0)))
% 2.65/1.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.65/1.00      inference('condensation', [status(thm)], [zip_derived_cl84])).
% 2.65/1.00  thf(zip_derived_cl62, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ 
% 2.65/1.00              (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @ 
% 2.65/1.00              (implies @ X1 @ X0)))
% 2.65/1.00          |  (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 2.65/1.00  thf(zip_derived_cl15, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ 
% 2.65/1.00            (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ 
% 2.65/1.00             (implies @ X0 @ X4)) @ 
% 2.65/1.00            (implies @ X3 @ (implies @ X0 @ X4))))),
% 2.65/1.00      inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 2.65/1.00  thf(zip_derived_cl81, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X3 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ X3 @ 
% 2.65/1.00            (implies @ (implies @ X1 @ X0) @ 
% 2.65/1.00             (implies @ X0 @ (implies @ X1 @ X0)))))),
% 2.65/1.00      inference('s_sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl15])).
% 2.65/1.00  thf(zip_derived_cl164, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ (implies @ X1 @ X0) @ 
% 2.65/1.00            (implies @ X0 @ (implies @ X1 @ X0))))),
% 2.65/1.00      inference('s_sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl81])).
% 2.65/1.00  thf(zip_derived_cl344, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 2.65/1.00      inference('s_sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl164])).
% 2.65/1.00  thf(zip_derived_cl12, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ 
% 2.65/1.00             (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 2.65/1.00          |  (is_a_theorem @ 
% 2.65/1.00              (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 2.65/1.00      inference('condensation', [status(thm)], [zip_derived_cl7])).
% 2.65/1.00  thf(zip_derived_cl367, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ (implies @ (implies @ X1 @ X0) @ X1) @ 
% 2.65/1.00            (implies @ X2 @ X1)))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl12])).
% 2.65/1.00  thf(zip_derived_cl0, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.65/1.00          | ~ (is_a_theorem @ X0)
% 2.65/1.00          |  (is_a_theorem @ X1))),
% 2.65/1.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 2.65/1.00  thf(zip_derived_cl422, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X0))
% 2.65/1.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 2.65/1.00  thf(zip_derived_cl0, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.65/1.00          | ~ (is_a_theorem @ X0)
% 2.65/1.00          |  (is_a_theorem @ X1))),
% 2.65/1.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 2.65/1.00  thf(zip_derived_cl472, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X0))
% 2.65/1.00          | ~ (is_a_theorem @ X1)
% 2.65/1.00          |  (is_a_theorem @ X0))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl422, zip_derived_cl0])).
% 2.65/1.00  thf(zip_derived_cl505, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i]:
% 2.65/1.00         (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X0))
% 2.65/1.00          |  (is_a_theorem @ X0))),
% 2.65/1.00      inference('condensation', [status(thm)], [zip_derived_cl472])).
% 2.65/1.00  thf(zip_derived_cl367, plain,
% 2.65/1.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 2.65/1.00          (is_a_theorem @ 
% 2.65/1.00           (implies @ (implies @ (implies @ X1 @ X0) @ X1) @ 
% 2.65/1.00            (implies @ X2 @ X1)))),
% 2.65/1.00      inference('s_sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl12])).
% 2.65/1.00  thf(zip_derived_cl529, plain,
% 2.65/1.00      (![X0 : $i]:  (is_a_theorem @ (implies @ X0 @ X0))),
% 2.65/1.00      inference('s_sup+', [status(thm)], [zip_derived_cl505, zip_derived_cl367])).
% 2.65/1.00  thf(zip_derived_cl546, plain, ($false),
% 2.65/1.00      inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl529])).
% 2.65/1.00  
% 2.65/1.00  % SZS output end Refutation
% 2.65/1.00  
% 2.65/1.00  
% 2.65/1.01  % Terminating...
% 3.67/1.14  % Runner terminated.
% 3.67/1.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------