TSTP Solution File: LCL069-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5KsYcDg4q9 true

% Computer : n007.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 08:58:02 EDT 2023

% Result   : Unsatisfiable 4.62s 1.28s
% Output   : Refutation 4.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.05/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5KsYcDg4q9 true
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu Aug 24 18:36:10 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.44/0.60  % Total configuration time : 435
% 0.44/0.60  % Estimated wc time : 1092
% 0.44/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.69  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.69  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.62/1.28  % Solved by fo/fo5.sh.
% 4.62/1.28  % done 409 iterations in 0.549s
% 4.62/1.28  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.62/1.28  % SZS output start Refutation
% 4.62/1.28  thf(a_type, type, a: $i).
% 4.62/1.28  thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 4.62/1.28  thf(implies_type, type, implies: $i > $i > $i).
% 4.62/1.28  thf(not_type, type, not: $i > $i).
% 4.62/1.28  thf(b_type, type, b: $i).
% 4.62/1.28  thf(prove_cn_3, conjecture,
% 4.62/1.28    (is_a_theorem @ ( implies @ a @ ( implies @ ( not @ a ) @ b ) ))).
% 4.62/1.28  thf(zf_stmt_0, negated_conjecture,
% 4.62/1.28    (~( is_a_theorem @ ( implies @ a @ ( implies @ ( not @ a ) @ b ) ) )),
% 4.62/1.28    inference('cnf.neg', [status(esa)], [prove_cn_3])).
% 4.62/1.28  thf(zip_derived_cl4, plain,
% 4.62/1.28      (~ (is_a_theorem @ (implies @ a @ (implies @ (not @ a) @ b)))),
% 4.62/1.28      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.62/1.28  thf(cn_19, axiom,
% 4.62/1.28    (is_a_theorem @
% 4.62/1.28     ( implies @ ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ Y @ Z ) ))).
% 4.62/1.28  thf(zip_derived_cl1, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (implies @ (implies @ X0 @ X1) @ X2) @ 
% 4.62/1.28            (implies @ X1 @ X2)))),
% 4.62/1.28      inference('cnf', [status(esa)], [cn_19])).
% 4.62/1.28  thf(zip_derived_cl1, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (implies @ (implies @ X0 @ X1) @ X2) @ 
% 4.62/1.28            (implies @ X1 @ X2)))),
% 4.62/1.28      inference('cnf', [status(esa)], [cn_19])).
% 4.62/1.28  thf(condensed_detachment, axiom,
% 4.62/1.28    (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) | 
% 4.62/1.28     ( is_a_theorem @ Y ))).
% 4.62/1.28  thf(zip_derived_cl0, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 4.62/1.28          | ~ (is_a_theorem @ X0)
% 4.62/1.28          |  (is_a_theorem @ X1))),
% 4.62/1.28      inference('cnf', [status(esa)], [condensed_detachment])).
% 4.62/1.28  thf(zip_derived_cl5, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28         ( (is_a_theorem @ (implies @ X1 @ X0))
% 4.62/1.28          | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl8, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 4.62/1.28  thf(zip_derived_cl8, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 4.62/1.28  thf(zip_derived_cl8, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 4.62/1.28  thf(cn_37, axiom,
% 4.62/1.28    (is_a_theorem @
% 4.62/1.28     ( implies @
% 4.62/1.28       ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ ( not @ X ) @ Z ) ))).
% 4.62/1.28  thf(zip_derived_cl2, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (implies @ (implies @ X0 @ X1) @ X2) @ 
% 4.62/1.28            (implies @ (not @ X0) @ X2)))),
% 4.62/1.28      inference('cnf', [status(esa)], [cn_37])).
% 4.62/1.28  thf(zip_derived_cl0, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 4.62/1.28          | ~ (is_a_theorem @ X0)
% 4.62/1.28          |  (is_a_theorem @ X1))),
% 4.62/1.28      inference('cnf', [status(esa)], [condensed_detachment])).
% 4.62/1.28  thf(zip_derived_cl6, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28         ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 4.62/1.28          | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl17, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 4.62/1.28  thf(cn_59, axiom,
% 4.62/1.28    (is_a_theorem @
% 4.62/1.28     ( implies @
% 4.62/1.28       ( implies @ ( not @ X ) @ Z ) @ 
% 4.62/1.28       ( implies @ ( implies @ Y @ Z ) @ ( implies @ ( implies @ X @ Y ) @ Z ) ) ))).
% 4.62/1.28  thf(zip_derived_cl3, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (implies @ (not @ X0) @ X1) @ 
% 4.62/1.28            (implies @ (implies @ X2 @ X1) @ 
% 4.62/1.28             (implies @ (implies @ X0 @ X2) @ X1))))),
% 4.62/1.28      inference('cnf', [status(esa)], [cn_59])).
% 4.62/1.28  thf(zip_derived_cl0, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 4.62/1.28          | ~ (is_a_theorem @ X0)
% 4.62/1.28          |  (is_a_theorem @ X1))),
% 4.62/1.28      inference('cnf', [status(esa)], [condensed_detachment])).
% 4.62/1.28  thf(zip_derived_cl7, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28         ( (is_a_theorem @ 
% 4.62/1.28            (implies @ (implies @ X1 @ X0) @ 
% 4.62/1.28             (implies @ (implies @ X2 @ X1) @ X0)))
% 4.62/1.28          | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl46, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))) @ 
% 4.62/1.28            (implies @ (implies @ X1 @ X3) @ 
% 4.62/1.28             (implies @ X2 @ (implies @ X1 @ X0)))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl7])).
% 4.62/1.28  thf(zip_derived_cl0, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 4.62/1.28          | ~ (is_a_theorem @ X0)
% 4.62/1.28          |  (is_a_theorem @ X1))),
% 4.62/1.28      inference('cnf', [status(esa)], [condensed_detachment])).
% 4.62/1.28  thf(zip_derived_cl299, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.62/1.28         ( (is_a_theorem @ 
% 4.62/1.28            (implies @ (implies @ X1 @ X3) @ 
% 4.62/1.28             (implies @ X2 @ (implies @ X1 @ X0))))
% 4.62/1.28          | ~ (is_a_theorem @ 
% 4.62/1.28               (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl305, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @ 
% 4.62/1.28            (implies @ X2 @ (implies @ X1 @ X0))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl299])).
% 4.62/1.28  thf(zip_derived_cl0, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 4.62/1.28          | ~ (is_a_theorem @ X0)
% 4.62/1.28          |  (is_a_theorem @ X1))),
% 4.62/1.28      inference('cnf', [status(esa)], [condensed_detachment])).
% 4.62/1.28  thf(zip_derived_cl340, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28         ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 4.62/1.28          | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl305, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl351, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28          (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl340])).
% 4.62/1.28  thf(zip_derived_cl0, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 4.62/1.28          | ~ (is_a_theorem @ X0)
% 4.62/1.28          |  (is_a_theorem @ X1))),
% 4.62/1.28      inference('cnf', [status(esa)], [condensed_detachment])).
% 4.62/1.28  thf(zip_derived_cl377, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         ( (is_a_theorem @ (implies @ X0 @ X0)) | ~ (is_a_theorem @ X1))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl351, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl8, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 4.62/1.28  thf(zip_derived_cl398, plain,
% 4.62/1.28      (![X2 : $i]:  (is_a_theorem @ (implies @ X2 @ X2))),
% 4.62/1.28      inference('sup+', [status(thm)], [zip_derived_cl377, zip_derived_cl8])).
% 4.62/1.28  thf(zip_derived_cl398, plain,
% 4.62/1.28      (![X2 : $i]:  (is_a_theorem @ (implies @ X2 @ X2))),
% 4.62/1.28      inference('sup+', [status(thm)], [zip_derived_cl377, zip_derived_cl8])).
% 4.62/1.28  thf(zip_derived_cl6, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28         ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 4.62/1.28          | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl502, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28          (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl6])).
% 4.62/1.28  thf(zip_derived_cl299, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.62/1.28         ( (is_a_theorem @ 
% 4.62/1.28            (implies @ (implies @ X1 @ X3) @ 
% 4.62/1.28             (implies @ X2 @ (implies @ X1 @ X0))))
% 4.62/1.28          | ~ (is_a_theorem @ 
% 4.62/1.28               (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl505, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28          (is_a_theorem @ 
% 4.62/1.28           (implies @ (implies @ X1 @ (not @ X2)) @ 
% 4.62/1.28            (implies @ X2 @ (implies @ X1 @ X0))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl502, zip_derived_cl299])).
% 4.62/1.28  thf(zip_derived_cl0, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 4.62/1.28          | ~ (is_a_theorem @ X0)
% 4.62/1.28          |  (is_a_theorem @ X1))),
% 4.62/1.28      inference('cnf', [status(esa)], [condensed_detachment])).
% 4.62/1.28  thf(zip_derived_cl1254, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.62/1.28         ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 4.62/1.28          | ~ (is_a_theorem @ (implies @ X1 @ (not @ X2))))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl0])).
% 4.62/1.28  thf(zip_derived_cl1264, plain,
% 4.62/1.28      (![X0 : $i, X1 : $i]:
% 4.62/1.28          (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 4.62/1.28      inference('sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl1254])).
% 4.62/1.28  thf(zip_derived_cl1286, plain, ($false),
% 4.62/1.28      inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl1264])).
% 4.62/1.28  
% 4.62/1.28  % SZS output end Refutation
% 4.62/1.28  
% 4.62/1.28  
% 4.62/1.28  % Terminating...
% 4.62/1.33  % Runner terminated.
% 4.62/1.35  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------