TSTP Solution File: LCL115-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL115-1 : 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.eRnx8rZFGx true

% Computer : n002.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 08:58:16 EDT 2023

% Result   : Unsatisfiable 24.93s 4.10s
% Output   : Refutation 24.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : LCL115-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eRnx8rZFGx true
% 0.10/0.30  % Computer : n002.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu Aug 24 17:36:31 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in FO mode
% 0.16/0.59  % Total configuration time : 435
% 0.16/0.59  % Estimated wc time : 1092
% 0.16/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.69  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.69  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 24.93/4.10  % Solved by fo/fo6_bce.sh.
% 24.93/4.10  % BCE start: 6
% 24.93/4.10  % BCE eliminated: 0
% 24.93/4.10  % PE start: 6
% 24.93/4.10  logic: neq
% 24.93/4.10  % PE eliminated: 0
% 24.93/4.10  % done 811 iterations in 3.400s
% 24.93/4.10  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 24.93/4.10  % SZS output start Refutation
% 24.93/4.10  thf(a_type, type, a: $i).
% 24.93/4.10  thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 24.93/4.10  thf(implies_type, type, implies: $i > $i > $i).
% 24.93/4.10  thf(not_type, type, not: $i > $i).
% 24.93/4.10  thf(b_type, type, b: $i).
% 24.93/4.10  thf(prove_mv_39, conjecture,
% 24.93/4.10    (is_a_theorem @ ( implies @ ( not @ ( implies @ a @ b ) ) @ ( not @ b ) ))).
% 24.93/4.10  thf(zf_stmt_0, negated_conjecture,
% 24.93/4.10    (~( is_a_theorem @
% 24.93/4.10        ( implies @ ( not @ ( implies @ a @ b ) ) @ ( not @ b ) ) )),
% 24.93/4.10    inference('cnf.neg', [status(esa)], [prove_mv_39])).
% 24.93/4.10  thf(zip_derived_cl5, plain,
% 24.93/4.10      (~ (is_a_theorem @ (implies @ (not @ (implies @ a @ b)) @ (not @ b)))),
% 24.93/4.10      inference('cnf', [status(esa)], [zf_stmt_0])).
% 24.93/4.10  thf(mv_1, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 24.93/4.10  thf(zip_derived_cl1, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_1])).
% 24.93/4.10  thf(condensed_detachment, axiom,
% 24.93/4.10    (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) | 
% 24.93/4.10     ( is_a_theorem @ Y ))).
% 24.93/4.10  thf(zip_derived_cl0, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 24.93/4.10          | ~ (is_a_theorem @ X0)
% 24.93/4.10          |  (is_a_theorem @ X1))),
% 24.93/4.10      inference('cnf', [status(esa)], [condensed_detachment])).
% 24.93/4.10  thf(zip_derived_cl6, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ X0) |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 24.93/4.10  thf(mv_3, axiom,
% 24.93/4.10    (is_a_theorem @
% 24.93/4.10     ( implies @
% 24.93/4.10       ( implies @ ( implies @ X @ Y ) @ Y ) @ 
% 24.93/4.10       ( implies @ ( implies @ Y @ X ) @ X ) ))).
% 24.93/4.10  thf(zip_derived_cl3, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ 
% 24.93/4.10           (implies @ (implies @ (implies @ X0 @ X1) @ X1) @ 
% 24.93/4.10            (implies @ (implies @ X1 @ X0) @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_3])).
% 24.93/4.10  thf(zip_derived_cl0, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 24.93/4.10          | ~ (is_a_theorem @ X0)
% 24.93/4.10          |  (is_a_theorem @ X1))),
% 24.93/4.10      inference('cnf', [status(esa)], [condensed_detachment])).
% 24.93/4.10  thf(zip_derived_cl12, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 24.93/4.10          |  (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl13, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ X0)
% 24.93/4.10          |  (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 24.93/4.10  thf(zip_derived_cl1, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_1])).
% 24.93/4.10  thf(mv_2, axiom,
% 24.93/4.10    (is_a_theorem @
% 24.93/4.10     ( implies @
% 24.93/4.10       ( implies @ X @ Y ) @ 
% 24.93/4.10       ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 24.93/4.10  thf(zip_derived_cl2, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10          (is_a_theorem @ 
% 24.93/4.10           (implies @ (implies @ X0 @ X1) @ 
% 24.93/4.10            (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_2])).
% 24.93/4.10  thf(zip_derived_cl0, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 24.93/4.10          | ~ (is_a_theorem @ X0)
% 24.93/4.10          |  (is_a_theorem @ X1))),
% 24.93/4.10      inference('cnf', [status(esa)], [condensed_detachment])).
% 24.93/4.10  thf(zip_derived_cl7, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 24.93/4.10          |  (is_a_theorem @ 
% 24.93/4.10              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl0, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 24.93/4.10          | ~ (is_a_theorem @ X0)
% 24.93/4.10          |  (is_a_theorem @ X1))),
% 24.93/4.10      inference('cnf', [status(esa)], [condensed_detachment])).
% 24.93/4.10  thf(zip_derived_cl17, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 24.93/4.10          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl19, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 24.93/4.10  thf(zip_derived_cl29, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ X1) |  (is_a_theorem @ (implies @ X0 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl19])).
% 24.93/4.10  thf(zip_derived_cl1, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_1])).
% 24.93/4.10  thf(zip_derived_cl53, plain,
% 24.93/4.10      (![X2 : $i]:  (is_a_theorem @ (implies @ X2 @ X2))),
% 24.93/4.10      inference('s_sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 24.93/4.10  thf(mv_5, axiom,
% 24.93/4.10    (is_a_theorem @
% 24.93/4.10     ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ))).
% 24.93/4.10  thf(zip_derived_cl4, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ 
% 24.93/4.10           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_5])).
% 24.93/4.10  thf(zip_derived_cl6, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ X0) |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl17, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 24.93/4.10          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl18, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ X0)
% 24.93/4.10          | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X1 @ X2)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl17])).
% 24.93/4.10  thf(zip_derived_cl39, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1)))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl18])).
% 24.93/4.10  thf(zip_derived_cl84, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl39])).
% 24.93/4.10  thf(zip_derived_cl12, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 24.93/4.10          |  (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl95, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl12])).
% 24.93/4.10  thf(zip_derived_cl4, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ 
% 24.93/4.10           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_5])).
% 24.93/4.10  thf(zip_derived_cl17, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 24.93/4.10          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl23, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 24.93/4.10          |  (is_a_theorem @ 
% 24.93/4.10              (implies @ (implies @ (not @ X0) @ (not @ X1)) @ X2)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl17])).
% 24.93/4.10  thf(zip_derived_cl4, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ 
% 24.93/4.10           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_5])).
% 24.93/4.10  thf(zip_derived_cl19, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 24.93/4.10  thf(zip_derived_cl32, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl19])).
% 24.93/4.10  thf(zip_derived_cl17, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 24.93/4.10          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 24.93/4.10  thf(zip_derived_cl43, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 24.93/4.10          |  (is_a_theorem @ (implies @ (not @ X1) @ X2)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl17])).
% 24.93/4.10  thf(zip_derived_cl153, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 24.93/4.10          |  (is_a_theorem @ (implies @ (not @ (not @ X2)) @ X0)))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl43])).
% 24.93/4.10  thf(zip_derived_cl536, plain,
% 24.93/4.10      (![X0 : $i]:  (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 24.93/4.10      inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl153])).
% 24.93/4.10  thf(zip_derived_cl4, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10          (is_a_theorem @ 
% 24.93/4.10           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 24.93/4.10      inference('cnf', [status(esa)], [mv_5])).
% 24.93/4.10  thf(zip_derived_cl0, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 24.93/4.10          | ~ (is_a_theorem @ X0)
% 24.93/4.10          |  (is_a_theorem @ X1))),
% 24.93/4.10      inference('cnf', [status(esa)], [condensed_detachment])).
% 24.93/4.10  thf(zip_derived_cl10, plain,
% 24.93/4.10      (![X0 : $i, X1 : $i]:
% 24.93/4.10         (~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1)))
% 24.93/4.10          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 24.93/4.11  thf(zip_derived_cl569, plain,
% 24.93/4.11      (![X0 : $i]:  (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl536, zip_derived_cl10])).
% 24.93/4.11  thf(zip_derived_cl19, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 24.93/4.11          |  (is_a_theorem @ (implies @ X0 @ X2)))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 24.93/4.11  thf(zip_derived_cl581, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i]:
% 24.93/4.11          (is_a_theorem @ (implies @ X0 @ (not @ (not @ (implies @ X1 @ X0)))))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl569, zip_derived_cl19])).
% 24.93/4.11  thf(zip_derived_cl536, plain,
% 24.93/4.11      (![X0 : $i]:  (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl153])).
% 24.93/4.11  thf(zip_derived_cl7, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 24.93/4.11          |  (is_a_theorem @ 
% 24.93/4.11              (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 24.93/4.11  thf(zip_derived_cl4, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i]:
% 24.93/4.11          (is_a_theorem @ 
% 24.93/4.11           (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 24.93/4.11      inference('cnf', [status(esa)], [mv_5])).
% 24.93/4.11  thf(zip_derived_cl13, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ X0)
% 24.93/4.11          |  (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 24.93/4.11  thf(zip_derived_cl17, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ (implies @ X1 @ X2))
% 24.93/4.11          | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 24.93/4.11          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 24.93/4.11  thf(zip_derived_cl20, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ X1)
% 24.93/4.11          | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 24.93/4.11          |  (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl17])).
% 24.93/4.11  thf(zip_derived_cl0, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ (implies @ X0 @ X1))
% 24.93/4.11          | ~ (is_a_theorem @ X0)
% 24.93/4.11          |  (is_a_theorem @ X1))),
% 24.93/4.11      inference('cnf', [status(esa)], [condensed_detachment])).
% 24.93/4.11  thf(zip_derived_cl46, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ (implies @ X1 @ X0))
% 24.93/4.11          | ~ (is_a_theorem @ X2)
% 24.93/4.11          | ~ (is_a_theorem @ (implies @ X2 @ X1))
% 24.93/4.11          |  (is_a_theorem @ X0))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl0])).
% 24.93/4.11  thf(zip_derived_cl315, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ X2)
% 24.93/4.11          | ~ (is_a_theorem @ 
% 24.93/4.11               (implies @ X2 @ (implies @ (not @ X0) @ (not @ X1))))
% 24.93/4.11          |  (is_a_theorem @ (implies @ X1 @ X0)))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl46])).
% 24.93/4.11  thf(zip_derived_cl6962, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i, X2 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ (implies @ (not @ X1) @ X2))
% 24.93/4.11          | ~ (is_a_theorem @ (implies @ X2 @ (not @ X0)))
% 24.93/4.11          |  (is_a_theorem @ (implies @ X0 @ X1)))),
% 24.93/4.11      inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl315])).
% 24.93/4.11  thf(zip_derived_cl7292, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i]:
% 24.93/4.11         (~ (is_a_theorem @ (implies @ X0 @ (not @ X1)))
% 24.93/4.11          |  (is_a_theorem @ (implies @ X1 @ (not @ X0))))),
% 24.93/4.11      inference('s_sup-', [status(thm)],
% 24.93/4.11                [zip_derived_cl536, zip_derived_cl6962])).
% 24.93/4.11  thf(zip_derived_cl7328, plain,
% 24.93/4.11      (![X0 : $i, X1 : $i]:
% 24.93/4.11          (is_a_theorem @ (implies @ (not @ (implies @ X1 @ X0)) @ (not @ X0)))),
% 24.93/4.11      inference('s_sup-', [status(thm)],
% 24.93/4.11                [zip_derived_cl581, zip_derived_cl7292])).
% 24.93/4.11  thf(zip_derived_cl7376, plain, ($false),
% 24.93/4.11      inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl7328])).
% 24.93/4.11  
% 24.93/4.11  % SZS output end Refutation
% 24.93/4.11  
% 24.93/4.11  
% 24.93/4.11  % Terminating...
% 24.93/4.23  % Runner terminated.
% 24.93/4.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------