TSTP Solution File: LCL076-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QfpQwXS6Ez true

% Computer : n016.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 08:58:04 EDT 2023

% Result   : Unsatisfiable 0.22s 0.81s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QfpQwXS6Ez true
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 19:39:54 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.81  % Solved by fo/fo6_bce.sh.
% 0.22/0.81  % BCE start: 6
% 0.22/0.81  % BCE eliminated: 0
% 0.22/0.81  % PE start: 6
% 0.22/0.81  logic: neq
% 0.22/0.81  % PE eliminated: 0
% 0.22/0.81  % done 81 iterations in 0.069s
% 0.22/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.81  % SZS output start Refutation
% 0.22/0.81  thf(not_type, type, not: $i > $i).
% 0.22/0.81  thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.22/0.81  thf(implies_type, type, implies: $i > $i > $i).
% 0.22/0.81  thf(a_type, type, a: $i).
% 0.22/0.81  thf(prove_cn_40, conjecture,
% 0.22/0.81    (is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ))).
% 0.22/0.81  thf(zf_stmt_0, negated_conjecture,
% 0.22/0.81    (~( is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ) )),
% 0.22/0.81    inference('cnf.neg', [status(esa)], [prove_cn_40])).
% 0.22/0.81  thf(zip_derived_cl5, plain,
% 0.22/0.81      (~ (is_a_theorem @ (implies @ a @ (not @ (not @ a))))),
% 0.22/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.81  thf(cn_49, axiom,
% 0.22/0.81    (is_a_theorem @
% 0.22/0.81     ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ))).
% 0.22/0.81  thf(zip_derived_cl3, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ 
% 0.22/0.81           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('cnf', [status(esa)], [cn_49])).
% 0.22/0.81  thf(zip_derived_cl3, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ 
% 0.22/0.81           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('cnf', [status(esa)], [cn_49])).
% 0.22/0.81  thf(cn_18, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 0.22/0.81  thf(zip_derived_cl1, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('cnf', [status(esa)], [cn_18])).
% 0.22/0.81  thf(transitivity, axiom,
% 0.22/0.81    (( ~( is_a_theorem @ ( implies @ X1 @ X2 ) ) ) | 
% 0.22/0.81     ( ~( is_a_theorem @ ( implies @ X2 @ X3 ) ) ) | 
% 0.22/0.81     ( is_a_theorem @ ( implies @ X1 @ X3 ) ))).
% 0.22/0.81  thf(zip_derived_cl4, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.22/0.81          | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.22/0.81      inference('cnf', [status(esa)], [transitivity])).
% 0.22/0.81  thf(zip_derived_cl11, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.22/0.81  thf(zip_derived_cl20, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 0.22/0.81  thf(zip_derived_cl4, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.22/0.81          | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.22/0.81      inference('cnf', [status(esa)], [transitivity])).
% 0.22/0.81  thf(zip_derived_cl26, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.22/0.81          |  (is_a_theorem @ (implies @ (not @ X1) @ X2)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl4])).
% 0.22/0.81  thf(zip_derived_cl37, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ (implies @ (not @ (not @ X0)) @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl26])).
% 0.22/0.81  thf(cn_35, axiom,
% 0.22/0.81    (is_a_theorem @
% 0.22/0.81     ( implies @
% 0.22/0.81       ( implies @ X @ ( implies @ Y @ Z ) ) @ 
% 0.22/0.81       ( implies @ ( implies @ X @ Y ) @ ( implies @ X @ Z ) ) ))).
% 0.22/0.81  thf(zip_derived_cl2, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81          (is_a_theorem @ 
% 0.22/0.81           (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @ 
% 0.22/0.81            (implies @ (implies @ X0 @ X1) @ (implies @ X0 @ X2))))),
% 0.22/0.81      inference('cnf', [status(esa)], [cn_35])).
% 0.22/0.81  thf(condensed_detachment, axiom,
% 0.22/0.81    (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) | 
% 0.22/0.81     ( is_a_theorem @ Y ))).
% 0.22/0.81  thf(zip_derived_cl0, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.22/0.81          | ~ (is_a_theorem @ X0)
% 0.22/0.81          |  (is_a_theorem @ X1))),
% 0.22/0.81      inference('cnf', [status(esa)], [condensed_detachment])).
% 0.22/0.81  thf(zip_derived_cl7, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.22/0.81          |  (is_a_theorem @ 
% 0.22/0.81              (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.22/0.81  thf(zip_derived_cl11, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.22/0.81  thf(zip_derived_cl24, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl11])).
% 0.22/0.81  thf(zip_derived_cl126, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ (implies @ X1 @ (implies @ (not @ (not @ X0)) @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl24])).
% 0.22/0.81  thf(zip_derived_cl1, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('cnf', [status(esa)], [cn_18])).
% 0.22/0.81  thf(zip_derived_cl24, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl11])).
% 0.22/0.81  thf(zip_derived_cl116, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl24])).
% 0.22/0.81  thf(zip_derived_cl0, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.22/0.81          | ~ (is_a_theorem @ X0)
% 0.22/0.81          |  (is_a_theorem @ X1))),
% 0.22/0.81      inference('cnf', [status(esa)], [condensed_detachment])).
% 0.22/0.81  thf(zip_derived_cl130, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ X1) |  (is_a_theorem @ (implies @ X0 @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 0.22/0.81  thf(zip_derived_cl1, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('cnf', [status(esa)], [cn_18])).
% 0.22/0.81  thf(zip_derived_cl143, plain,
% 0.22/0.81      (![X2 : $i]:  (is_a_theorem @ (implies @ X2 @ X2))),
% 0.22/0.81      inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 0.22/0.81  thf(zip_derived_cl7, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.22/0.81          |  (is_a_theorem @ 
% 0.22/0.81              (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.22/0.81  thf(zip_derived_cl0, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.22/0.81          | ~ (is_a_theorem @ X0)
% 0.22/0.81          |  (is_a_theorem @ X1))),
% 0.22/0.81      inference('cnf', [status(esa)], [condensed_detachment])).
% 0.22/0.81  thf(zip_derived_cl22, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.22/0.81          | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.22/0.81  thf(zip_derived_cl188, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X1)))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X0 @ X1)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl22])).
% 0.22/0.81  thf(zip_derived_cl288, plain,
% 0.22/0.81      (![X0 : $i]:  (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl188])).
% 0.22/0.81  thf(zip_derived_cl3, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81          (is_a_theorem @ 
% 0.22/0.81           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('cnf', [status(esa)], [cn_49])).
% 0.22/0.81  thf(zip_derived_cl0, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.22/0.81          | ~ (is_a_theorem @ X0)
% 0.22/0.81          |  (is_a_theorem @ X1))),
% 0.22/0.81      inference('cnf', [status(esa)], [condensed_detachment])).
% 0.22/0.81  thf(zip_derived_cl18, plain,
% 0.22/0.81      (![X0 : $i, X1 : $i]:
% 0.22/0.81         (~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1)))
% 0.22/0.81          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.22/0.81  thf(zip_derived_cl314, plain,
% 0.22/0.81      (![X0 : $i]:  (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 0.22/0.81      inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl18])).
% 0.22/0.81  thf(zip_derived_cl328, plain, ($false),
% 0.22/0.81      inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl314])).
% 0.22/0.81  
% 0.22/0.81  % SZS output end Refutation
% 0.22/0.81  
% 0.22/0.81  
% 0.22/0.81  % Terminating...
% 1.14/0.88  % Runner terminated.
% 1.14/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------