%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL379-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KhzZslvBbH true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:48 PM UTC 2026
% Result : Unsatisfiable 90.12s 13.52s
% Output : Refutation 90.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL379-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KhzZslvBbH true
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 01:12:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.41/0.65 % Total configuration time : 435
% 0.41/0.65 % Estimated wc time : 1092
% 0.41/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 90.12/13.52 % Solved by fo/fo6_bce.sh.
% 90.12/13.52 % BCE start: 5
% 90.12/13.52 % BCE eliminated: 0
% 90.12/13.52 % PE start: 5
% 90.12/13.52 logic: neq
% 90.12/13.52 % PE eliminated: 0
% 90.12/13.52 % done 2107 iterations in 12.765s
% 90.12/13.52 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 90.12/13.52 % SZS output start Refutation
% 90.12/13.52 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 90.12/13.52 thf(implies_type, type, implies: $i > $i > $i).
% 90.12/13.52 thf(not_type, type, not: $i > $i).
% 90.12/13.52 thf(x_type, type, x: $i).
% 90.12/13.52 thf(prove_cn_38, conjecture,
% 90.12/13.52 (is_a_theorem @ ( implies @ ( implies @ x @ ( not @ x ) ) @ ( not @ x ) ))).
% 90.12/13.52 thf(zf_stmt_0, negated_conjecture,
% 90.12/13.52 (~( is_a_theorem @
% 90.12/13.52 ( implies @ ( implies @ x @ ( not @ x ) ) @ ( not @ x ) ) )),
% 90.12/13.52 inference('cnf.neg', [status(esa)], [prove_cn_38])).
% 90.12/13.52 thf(zip_derived_cl4, plain,
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ x @ (not @ x)) @ (not @ x)))),
% 90.12/13.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.12/13.52 thf(cn_2, axiom,
% 90.12/13.52 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 90.12/13.52 thf(zip_derived_cl2, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_2])).
% 90.12/13.52 thf(zip_derived_cl2, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_2])).
% 90.12/13.52 thf(zip_derived_cl2, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_2])).
% 90.12/13.52 thf(cn_3, axiom,
% 90.12/13.52 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 90.12/13.52 thf(zip_derived_cl3, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_3])).
% 90.12/13.52 thf(condensed_detachment, axiom,
% 90.12/13.52 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 90.12/13.52 ( is_a_theorem @ Y ))).
% 90.12/13.52 thf(zip_derived_cl0, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 90.12/13.52 | ~ (is_a_theorem @ X0)
% 90.12/13.52 | (is_a_theorem @ X1))),
% 90.12/13.52 inference('cnf', [status(esa)], [condensed_detachment])).
% 90.12/13.52 thf(zip_derived_cl7, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 90.12/13.52 thf(cn_1, axiom,
% 90.12/13.52 (is_a_theorem @
% 90.12/13.52 ( implies @
% 90.12/13.52 ( implies @ X @ Y ) @
% 90.12/13.52 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 90.12/13.52 thf(zip_derived_cl1, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X0 @ X1) @
% 90.12/13.52 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_1])).
% 90.12/13.52 thf(zip_derived_cl0, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 90.12/13.52 | ~ (is_a_theorem @ X0)
% 90.12/13.52 | (is_a_theorem @ X1))),
% 90.12/13.52 inference('cnf', [status(esa)], [condensed_detachment])).
% 90.12/13.52 thf(zip_derived_cl6, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl3, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_3])).
% 90.12/13.52 thf(zip_derived_cl6, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl0, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 90.12/13.52 | ~ (is_a_theorem @ X0)
% 90.12/13.52 | (is_a_theorem @ X1))),
% 90.12/13.52 inference('cnf', [status(esa)], [condensed_detachment])).
% 90.12/13.52 thf(zip_derived_cl11, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl12, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl22, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 90.12/13.52 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 90.12/13.52 thf(zip_derived_cl52, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X1)
% 90.12/13.52 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl22])).
% 90.12/13.52 thf(zip_derived_cl11, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl69, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X1)
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 90.12/13.52 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl236, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl69])).
% 90.12/13.52 thf(zip_derived_cl6, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl11, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl15, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl249, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X0)
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl236, zip_derived_cl15])).
% 90.12/13.52 thf(zip_derived_cl567, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X1)
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl249])).
% 90.12/13.52 thf(zip_derived_cl1, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X0 @ X1) @
% 90.12/13.52 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_1])).
% 90.12/13.52 thf(zip_derived_cl11, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl14, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @
% 90.12/13.52 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl598, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl14])).
% 90.12/13.52 thf(zip_derived_cl3, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_3])).
% 90.12/13.52 thf(zip_derived_cl15, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl43, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 90.12/13.52 thf(zip_derived_cl14, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @
% 90.12/13.52 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl217, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X3 @ (implies @ X2 @ X1)) @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X3)) @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl14])).
% 90.12/13.52 thf(zip_derived_cl34164, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X2) @ X0))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X3 @ (not @ X1)) @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl598, zip_derived_cl217])).
% 90.12/13.52 thf(zip_derived_cl34317, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl34164])).
% 90.12/13.52 thf(zip_derived_cl34317, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl34164])).
% 90.12/13.52 thf(zip_derived_cl12, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl37374, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl34317, zip_derived_cl12])).
% 90.12/13.52 thf(zip_derived_cl11, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl38111, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 90.12/13.52 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl37374, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl38719, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl34317, zip_derived_cl38111])).
% 90.12/13.52 thf(zip_derived_cl6, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl6, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl2, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_2])).
% 90.12/13.52 thf(zip_derived_cl12, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl20, plain,
% 90.12/13.52 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 90.12/13.52 thf(zip_derived_cl2, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_2])).
% 90.12/13.52 thf(zip_derived_cl15, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl44, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 90.12/13.52 thf(zip_derived_cl63, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ X1 @ X0) @
% 90.12/13.52 (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl44])).
% 90.12/13.52 thf(zip_derived_cl2, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_2])).
% 90.12/13.52 thf(zip_derived_cl11, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl13, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl11, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl27, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl138, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @
% 90.12/13.52 (implies @ (not @ (implies @ X1 @ X0)) @ (implies @ X1 @ X0)) @
% 90.12/13.52 X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl27])).
% 90.12/13.52 thf(zip_derived_cl2, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 90.12/13.52 inference('cnf', [status(esa)], [cn_2])).
% 90.12/13.52 thf(zip_derived_cl20, plain,
% 90.12/13.52 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 90.12/13.52 thf(zip_derived_cl43, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 90.12/13.52 thf(zip_derived_cl13, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl69, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X1)
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 90.12/13.52 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl11])).
% 90.12/13.52 thf(zip_derived_cl237, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 90.12/13.52 | ~ (is_a_theorem @ X1)
% 90.12/13.52 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl69])).
% 90.12/13.52 thf(zip_derived_cl418, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ X4 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl237])).
% 90.12/13.52 thf(zip_derived_cl488, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0))
% 90.12/13.52 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl418])).
% 90.12/13.52 thf(zip_derived_cl1539, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl488])).
% 90.12/13.52 thf(zip_derived_cl567, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ X1)
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl249])).
% 90.12/13.52 thf(zip_derived_cl44, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 90.12/13.52 thf(zip_derived_cl600, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (not @ X1) @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl44])).
% 90.12/13.52 thf(zip_derived_cl1619, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl1539, zip_derived_cl600])).
% 90.12/13.52 thf(zip_derived_cl43, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 90.12/13.52 | (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 90.12/13.52 thf(zip_derived_cl0, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 90.12/13.52 | ~ (is_a_theorem @ X0)
% 90.12/13.52 | (is_a_theorem @ X1))),
% 90.12/13.52 inference('cnf', [status(esa)], [condensed_detachment])).
% 90.12/13.52 thf(zip_derived_cl209, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 90.12/13.52 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X1))
% 90.12/13.52 | (is_a_theorem @ X0))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 90.12/13.52 thf(zip_derived_cl1794, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (not @ (implies @ X1 @ X1)) @ X2) @ X0))
% 90.12/13.52 | (is_a_theorem @ X0))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl1619, zip_derived_cl209])).
% 90.12/13.52 thf(zip_derived_cl2272, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X1) @ X0))
% 90.12/13.52 | (is_a_theorem @ X0))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl138, zip_derived_cl1794])).
% 90.12/13.52 thf(zip_derived_cl2492, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X0) @ X0)))
% 90.12/13.52 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl2272])).
% 90.12/13.52 thf(zip_derived_cl2747, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (~ (is_a_theorem @ (implies @ (not @ X0) @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl2492])).
% 90.12/13.52 thf(zip_derived_cl40022, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ (implies @ X1 @ X0) @ X1) @ X1))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl38719, zip_derived_cl2747])).
% 90.12/13.52 thf(zip_derived_cl44, plain,
% 90.12/13.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.12/13.52 (~ (is_a_theorem @
% 90.12/13.52 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 90.12/13.52 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 90.12/13.52 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 90.12/13.52 thf(zip_derived_cl40112, plain,
% 90.12/13.52 (![X0 : $i]:
% 90.12/13.52 (is_a_theorem @ (implies @ (implies @ X0 @ (not @ X0)) @ (not @ X0)))),
% 90.12/13.52 inference('s_sup-', [status(thm)],
% 90.12/13.52 [zip_derived_cl40022, zip_derived_cl44])).
% 90.12/13.52 thf(zip_derived_cl40206, plain, ($false),
% 90.12/13.52 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl40112])).
% 90.12/13.52
% 90.12/13.52 % SZS output end Refutation
% 90.12/13.52
% 90.12/13.52
% 90.12/13.52 % Terminating...
% 90.12/13.55 % Runner terminated.
% 90.12/13.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------