TSTP Solution File: LCL053-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL053-1 : 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.t77OzAizyk true

% Computer : n032.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 08:57:58 EDT 2023

% Result   : Unsatisfiable 31.25s 5.00s
% Output   : Refutation 31.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL053-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t77OzAizyk true
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Thu Aug 24 17:08:42 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  % Running portfolio for 300 s
% 0.11/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31  % Number of cores: 8
% 0.11/0.31  % Python version: Python 3.6.8
% 0.11/0.31  % Running in FO mode
% 0.16/0.51  % Total configuration time : 435
% 0.16/0.51  % Estimated wc time : 1092
% 0.16/0.51  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.57  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.57  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.57  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.57  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.59  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.25/5.00  % Solved by fo/fo6_bce.sh.
% 31.25/5.00  % BCE start: 5
% 31.25/5.00  % BCE eliminated: 0
% 31.25/5.00  % PE start: 5
% 31.25/5.00  logic: neq
% 31.25/5.00  % PE eliminated: 0
% 31.25/5.00  % done 1116 iterations in 4.419s
% 31.25/5.00  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.25/5.00  % SZS output start Refutation
% 31.25/5.00  thf(b_type, type, b: $i).
% 31.25/5.00  thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 31.25/5.00  thf(implies_type, type, implies: $i > $i > $i).
% 31.25/5.00  thf(not_type, type, not: $i > $i).
% 31.25/5.00  thf(a_type, type, a: $i).
% 31.25/5.00  thf(prove_cn_30, conjecture,
% 31.25/5.00    (is_a_theorem @
% 31.25/5.00     ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ))).
% 31.25/5.00  thf(zf_stmt_0, negated_conjecture,
% 31.25/5.00    (~( is_a_theorem @
% 31.25/5.00        ( implies @ ( implies @ a @ ( implies @ a @ b ) ) @ ( implies @ a @ b ) ) )),
% 31.25/5.00    inference('cnf.neg', [status(esa)], [prove_cn_30])).
% 31.25/5.00  thf(zip_derived_cl4, plain,
% 31.25/5.00      (~ (is_a_theorem @ 
% 31.25/5.00          (implies @ (implies @ a @ (implies @ a @ b)) @ (implies @ a @ b)))),
% 31.25/5.00      inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.25/5.00  thf(cn_2, axiom,
% 31.25/5.00    (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 31.25/5.00  thf(zip_derived_cl2, plain,
% 31.25/5.00      (![X0 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_2])).
% 31.25/5.00  thf(zip_derived_cl2, plain,
% 31.25/5.00      (![X0 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_2])).
% 31.25/5.00  thf(zip_derived_cl2, plain,
% 31.25/5.00      (![X0 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_2])).
% 31.25/5.00  thf(cn_3, axiom,
% 31.25/5.00    (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 31.25/5.00  thf(zip_derived_cl3, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_3])).
% 31.25/5.00  thf(condensed_detachment, axiom,
% 31.25/5.00    (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) | 
% 31.25/5.00     ( is_a_theorem @ Y ))).
% 31.25/5.00  thf(zip_derived_cl0, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 31.25/5.00          | ~ (is_a_theorem @ X0)
% 31.25/5.00          |  (is_a_theorem @ X1))),
% 31.25/5.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 31.25/5.00  thf(zip_derived_cl7, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ X1) |  (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 31.25/5.00  thf(cn_1, axiom,
% 31.25/5.00    (is_a_theorem @
% 31.25/5.00     ( implies @
% 31.25/5.00       ( implies @ X @ Y ) @ 
% 31.25/5.00       ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 31.25/5.00  thf(zip_derived_cl1, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ X0 @ X1) @ 
% 31.25/5.00            (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_1])).
% 31.25/5.00  thf(zip_derived_cl0, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 31.25/5.00          | ~ (is_a_theorem @ X0)
% 31.25/5.00          |  (is_a_theorem @ X1))),
% 31.25/5.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 31.25/5.00  thf(zip_derived_cl6, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          |  (is_a_theorem @ 
% 31.25/5.00              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl3, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_3])).
% 31.25/5.00  thf(zip_derived_cl6, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          |  (is_a_theorem @ 
% 31.25/5.00              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl0, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 31.25/5.00          | ~ (is_a_theorem @ X0)
% 31.25/5.00          |  (is_a_theorem @ X1))),
% 31.25/5.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 31.25/5.00  thf(zip_derived_cl11, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl12, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X2)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl26, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 31.25/5.00  thf(zip_derived_cl33, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ X1)
% 31.25/5.00          |  (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl26])).
% 31.25/5.00  thf(zip_derived_cl11, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl46, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ X1)
% 31.25/5.00          | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X2 @ X3)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl159, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ X0) |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl46])).
% 31.25/5.00  thf(zip_derived_cl6, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          |  (is_a_theorem @ 
% 31.25/5.00              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl1, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ X0 @ X1) @ 
% 31.25/5.00            (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_1])).
% 31.25/5.00  thf(zip_derived_cl11, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl14, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ 
% 31.25/5.00             (implies @ 
% 31.25/5.00              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl21, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 31.25/5.00          |  (is_a_theorem @ 
% 31.25/5.00              (implies @ (implies @ X1 @ X3) @ 
% 31.25/5.00               (implies @ X2 @ (implies @ X1 @ X0)))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 31.25/5.00  thf(zip_derived_cl11, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl81, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 31.25/5.00          | ~ (is_a_theorem @ 
% 31.25/5.00               (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X4))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X4)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl192, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X0))
% 31.25/5.00          | ~ (is_a_theorem @ 
% 31.25/5.00               (implies @ (implies @ X2 @ (implies @ X4 @ X0)) @ X3))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X4 @ X1) @ X3)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl81])).
% 31.25/5.00  thf(zip_derived_cl4767, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ 
% 31.25/5.00             (implies @ (implies @ X3 @ (implies @ X2 @ X0)) @ X1))
% 31.25/5.00          |  (is_a_theorem @ 
% 31.25/5.00              (implies @ (implies @ X2 @ (implies @ (not @ X0) @ X0)) @ X1)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl192])).
% 31.25/5.00  thf(zip_derived_cl4898, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ 
% 31.25/5.00            (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4767])).
% 31.25/5.00  thf(zip_derived_cl3, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_3])).
% 31.25/5.00  thf(zip_derived_cl81, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 31.25/5.00          | ~ (is_a_theorem @ 
% 31.25/5.00               (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X4))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X4)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl102, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ 
% 31.25/5.00             (implies @ (implies @ X1 @ (implies @ X3 @ X0)) @ X2))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X3 @ (not @ X1)) @ X2)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl81])).
% 31.25/5.00  thf(zip_derived_cl5262, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)],
% 31.25/5.00                [zip_derived_cl4898, zip_derived_cl102])).
% 31.25/5.00  thf(zip_derived_cl4898, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ 
% 31.25/5.00            (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4767])).
% 31.25/5.00  thf(zip_derived_cl2, plain,
% 31.25/5.00      (![X0 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 31.25/5.00      inference('cnf', [status(esa)], [cn_2])).
% 31.25/5.00  thf(zip_derived_cl12, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X2)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl24, plain,
% 31.25/5.00      (![X0 : $i]:  (is_a_theorem @ (implies @ X0 @ X0))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 31.25/5.00  thf(zip_derived_cl102, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ 
% 31.25/5.00             (implies @ (implies @ X1 @ (implies @ X3 @ X0)) @ X2))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X3 @ (not @ X1)) @ X2)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl81])).
% 31.25/5.00  thf(zip_derived_cl115, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ X1 @ (not @ X2)) @ 
% 31.25/5.00            (implies @ X2 @ (implies @ X1 @ X0))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl102])).
% 31.25/5.00  thf(zip_derived_cl12, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X2)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl185, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl12])).
% 31.25/5.00  thf(zip_derived_cl11, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl213, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ 
% 31.25/5.00             (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X3)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl5280, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)],
% 31.25/5.00                [zip_derived_cl4898, zip_derived_cl213])).
% 31.25/5.00  thf(zip_derived_cl11, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl5287, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl5280, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl14420, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)],
% 31.25/5.00                [zip_derived_cl5262, zip_derived_cl5287])).
% 31.25/5.00  thf(zip_derived_cl6, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 31.25/5.00          |  (is_a_theorem @ 
% 31.25/5.00              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl4898, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ 
% 31.25/5.00            (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4767])).
% 31.25/5.00  thf(zip_derived_cl0, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 31.25/5.00          | ~ (is_a_theorem @ X0)
% 31.25/5.00          |  (is_a_theorem @ X1))),
% 31.25/5.00      inference('cnf', [status(esa)], [condensed_detachment])).
% 31.25/5.00  thf(zip_derived_cl5216, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X0) @ X0)))
% 31.25/5.00          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl4898, zip_derived_cl0])).
% 31.25/5.00  thf(zip_derived_cl9424, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ (implies @ (not @ X0) @ X1))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl5216])).
% 31.25/5.00  thf(zip_derived_cl14671, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ (implies @ (implies @ (implies @ X1 @ X0) @ X1) @ X1))),
% 31.25/5.00      inference('s_sup-', [status(thm)],
% 31.25/5.00                [zip_derived_cl14420, zip_derived_cl9424])).
% 31.25/5.00  thf(zip_derived_cl14, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 31.25/5.00         (~ (is_a_theorem @ 
% 31.25/5.00             (implies @ 
% 31.25/5.00              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 31.25/5.00          |  (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 31.25/5.00      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 31.25/5.00  thf(zip_derived_cl15140, plain,
% 31.25/5.00      (![X0 : $i, X1 : $i]:
% 31.25/5.00          (is_a_theorem @ 
% 31.25/5.00           (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @ 
% 31.25/5.00            (implies @ X1 @ X0)))),
% 31.25/5.00      inference('s_sup-', [status(thm)],
% 31.25/5.00                [zip_derived_cl14671, zip_derived_cl14])).
% 31.25/5.00  thf(zip_derived_cl15389, plain, ($false),
% 31.25/5.00      inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl15140])).
% 31.25/5.00  
% 31.25/5.00  % SZS output end Refutation
% 31.25/5.00  
% 31.25/5.00  
% 31.25/5.01  % Terminating...
% 31.92/5.13  % Runner terminated.
% 31.92/5.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------