TSTP Solution File: LCL110-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL110-1 : 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.na3eYs4P3W true

% Computer : n029.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 08:58:14 EDT 2023

% Result   : Unsatisfiable 1.16s 0.79s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL110-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.na3eYs4P3W true
% 0.14/0.36  % Computer : n029.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 01:20:09 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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.16/0.79  % Solved by fo/fo6_bce.sh.
% 1.16/0.79  % BCE start: 6
% 1.16/0.79  % BCE eliminated: 0
% 1.16/0.79  % PE start: 6
% 1.16/0.79  logic: neq
% 1.16/0.79  % PE eliminated: 0
% 1.16/0.79  % done 51 iterations in 0.046s
% 1.16/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.16/0.79  % SZS output start Refutation
% 1.16/0.79  thf(a_type, type, a: $i).
% 1.16/0.79  thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 1.16/0.79  thf(implies_type, type, implies: $i > $i > $i).
% 1.16/0.79  thf(not_type, type, not: $i > $i).
% 1.16/0.79  thf(mv_1, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 1.16/0.79  thf(zip_derived_cl1, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('cnf', [status(esa)], [mv_1])).
% 1.16/0.79  thf(condensed_detachment, axiom,
% 1.16/0.79    (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) | 
% 1.16/0.79     ( is_a_theorem @ Y ))).
% 1.16/0.79  thf(zip_derived_cl0, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.16/0.79          | ~ (is_a_theorem @ X0)
% 1.16/0.79          |  (is_a_theorem @ X1))),
% 1.16/0.79      inference('cnf', [status(esa)], [condensed_detachment])).
% 1.16/0.79  thf(zip_derived_cl6, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ X0) |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.16/0.79  thf(mv_3, axiom,
% 1.16/0.79    (is_a_theorem @
% 1.16/0.79     ( implies @
% 1.16/0.79       ( implies @ ( implies @ X @ Y ) @ Y ) @ 
% 1.16/0.79       ( implies @ ( implies @ Y @ X ) @ X ) ))).
% 1.16/0.79  thf(zip_derived_cl3, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ 
% 1.16/0.79           (implies @ (implies @ (implies @ X0 @ X1) @ X1) @ 
% 1.16/0.79            (implies @ (implies @ X1 @ X0) @ X0)))),
% 1.16/0.79      inference('cnf', [status(esa)], [mv_3])).
% 1.16/0.79  thf(zip_derived_cl0, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.16/0.79          | ~ (is_a_theorem @ X0)
% 1.16/0.79          |  (is_a_theorem @ X1))),
% 1.16/0.79      inference('cnf', [status(esa)], [condensed_detachment])).
% 1.16/0.79  thf(zip_derived_cl12, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 1.16/0.79          |  (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.16/0.79  thf(zip_derived_cl13, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ X0)
% 1.16/0.79          |  (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 1.16/0.79  thf(mv_5, axiom,
% 1.16/0.79    (is_a_theorem @
% 1.16/0.79     ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ))).
% 1.16/0.79  thf(zip_derived_cl4, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ 
% 1.16/0.79           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('cnf', [status(esa)], [mv_5])).
% 1.16/0.79  thf(zip_derived_cl4, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ 
% 1.16/0.79           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('cnf', [status(esa)], [mv_5])).
% 1.16/0.79  thf(zip_derived_cl1, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('cnf', [status(esa)], [mv_1])).
% 1.16/0.79  thf(mv_2, axiom,
% 1.16/0.79    (is_a_theorem @
% 1.16/0.79     ( implies @
% 1.16/0.79       ( implies @ X @ Y ) @ 
% 1.16/0.79       ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 1.16/0.79  thf(zip_derived_cl2, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79          (is_a_theorem @ 
% 1.16/0.79           (implies @ (implies @ X0 @ X1) @ 
% 1.16/0.79            (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 1.16/0.79      inference('cnf', [status(esa)], [mv_2])).
% 1.16/0.79  thf(zip_derived_cl0, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.16/0.79          | ~ (is_a_theorem @ X0)
% 1.16/0.79          |  (is_a_theorem @ X1))),
% 1.16/0.79      inference('cnf', [status(esa)], [condensed_detachment])).
% 1.16/0.79  thf(zip_derived_cl7, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 1.16/0.79          |  (is_a_theorem @ 
% 1.16/0.79              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 1.16/0.79  thf(zip_derived_cl0, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 1.16/0.79          | ~ (is_a_theorem @ X0)
% 1.16/0.79          |  (is_a_theorem @ X1))),
% 1.16/0.79      inference('cnf', [status(esa)], [condensed_detachment])).
% 1.16/0.79  thf(zip_derived_cl17, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 1.16/0.79          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 1.16/0.79          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 1.16/0.79  thf(zip_derived_cl19, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 1.16/0.79          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 1.16/0.79  thf(zip_derived_cl32, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl19])).
% 1.16/0.79  thf(zip_derived_cl17, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 1.16/0.79          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 1.16/0.79          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 1.16/0.79  thf(zip_derived_cl43, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 1.16/0.79          |  (is_a_theorem @ (implies @ (not @ X1) @ X2)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl17])).
% 1.16/0.79  thf(zip_derived_cl114, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ (implies @ (not @ (not @ X0)) @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl43])).
% 1.16/0.79  thf(zip_derived_cl17, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 1.16/0.79          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 1.16/0.79          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 1.16/0.79  thf(zip_derived_cl122, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 1.16/0.79          |  (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X2)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl17])).
% 1.16/0.79  thf(zip_derived_cl150, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ X1)
% 1.16/0.79          |  (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl122])).
% 1.16/0.79  thf(prove_mv_24, conjecture,
% 1.16/0.79    (is_a_theorem @ ( implies @ ( not @ ( not @ a ) ) @ a ))).
% 1.16/0.79  thf(zf_stmt_0, negated_conjecture,
% 1.16/0.79    (~( is_a_theorem @ ( implies @ ( not @ ( not @ a ) ) @ a ) )),
% 1.16/0.79    inference('cnf.neg', [status(esa)], [prove_mv_24])).
% 1.16/0.79  thf(zip_derived_cl5, plain,
% 1.16/0.79      (~ (is_a_theorem @ (implies @ (not @ (not @ a)) @ a))),
% 1.16/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.16/0.79  thf(zip_derived_cl188, plain, (![X0 : $i]: ~ (is_a_theorem @ X0)),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl5])).
% 1.16/0.79  thf(zip_derived_cl13, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ X0)
% 1.16/0.79          |  (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 1.16/0.79  thf(zip_derived_cl19, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 1.16/0.79          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 1.16/0.79  thf(zip_derived_cl29, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79         (~ (is_a_theorem @ X1) |  (is_a_theorem @ (implies @ X0 @ X0)))),
% 1.16/0.79      inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl19])).
% 1.16/0.79  thf(zip_derived_cl1, plain,
% 1.16/0.79      (![X0 : $i, X1 : $i]:
% 1.16/0.79          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 1.16/0.79      inference('cnf', [status(esa)], [mv_1])).
% 1.16/0.79  thf(zip_derived_cl52, plain,
% 1.16/0.79      (![X2 : $i]:  (is_a_theorem @ (implies @ X2 @ X2))),
% 1.16/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 1.16/0.79  thf(zip_derived_cl207, plain, ($false),
% 1.16/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl188, zip_derived_cl52])).
% 1.16/0.79  
% 1.16/0.79  % SZS output end Refutation
% 1.16/0.79  
% 1.16/0.79  
% 1.16/0.79  % Terminating...
% 1.45/0.85  % Runner terminated.
% 1.45/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------