%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.smq8oaeNNJ true
% Computer : n017.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 01:35:06 PM UTC 2026
% Result : Unsatisfiable 53.00s 8.28s
% Output : Refutation 53.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.smq8oaeNNJ true
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 4 13:56:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.39 % Python version: Python 3.12.3
% 0.10/0.39 % Running in FO mode
% 0.43/0.67 % Total configuration time : 435
% 0.43/0.67 % Estimated wc time : 1092
% 0.43/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 53.00/8.28 % Solved by fo/fo6_bce.sh.
% 53.00/8.28 % BCE start: 5
% 53.00/8.28 % BCE eliminated: 0
% 53.00/8.28 % PE start: 5
% 53.00/8.28 logic: neq
% 53.00/8.28 % PE eliminated: 0
% 53.00/8.28 % done 1701 iterations in 7.505s
% 53.00/8.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 53.00/8.28 % SZS output start Refutation
% 53.00/8.28 thf(b_type, type, b: $i).
% 53.00/8.28 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 53.00/8.28 thf(implies_type, type, implies: $i > $i > $i).
% 53.00/8.28 thf(not_type, type, not: $i > $i).
% 53.00/8.28 thf(a_type, type, a: $i).
% 53.00/8.28 thf(prove_cn_49, conjecture,
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 ( implies @ ( implies @ ( not @ a ) @ ( not @ b ) ) @ ( implies @ b @ a ) ))).
% 53.00/8.28 thf(zf_stmt_0, negated_conjecture,
% 53.00/8.28 (~( is_a_theorem @
% 53.00/8.28 ( implies @
% 53.00/8.28 ( implies @ ( not @ a ) @ ( not @ b ) ) @ ( implies @ b @ a ) ) )),
% 53.00/8.28 inference('cnf.neg', [status(esa)], [prove_cn_49])).
% 53.00/8.28 thf(zip_derived_cl4, plain,
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (not @ a) @ (not @ b)) @ (implies @ b @ a)))),
% 53.00/8.28 inference('cnf', [status(esa)], [zf_stmt_0])).
% 53.00/8.28 thf(cn_2, axiom,
% 53.00/8.28 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 53.00/8.28 thf(zip_derived_cl2, plain,
% 53.00/8.28 (![X0 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_2])).
% 53.00/8.28 thf(cn_3, axiom,
% 53.00/8.28 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 53.00/8.28 thf(zip_derived_cl3, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_3])).
% 53.00/8.28 thf(cn_1, axiom,
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 ( implies @
% 53.00/8.28 ( implies @ X @ Y ) @
% 53.00/8.28 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 53.00/8.28 thf(zip_derived_cl1, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X0 @ X1) @
% 53.00/8.28 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_1])).
% 53.00/8.28 thf(condensed_detachment, axiom,
% 53.00/8.28 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 53.00/8.28 ( is_a_theorem @ Y ))).
% 53.00/8.28 thf(zip_derived_cl0, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 53.00/8.28 | ~ (is_a_theorem @ X0)
% 53.00/8.28 | (is_a_theorem @ X1))),
% 53.00/8.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 53.00/8.28 thf(zip_derived_cl6, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl0, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 53.00/8.28 | ~ (is_a_theorem @ X0)
% 53.00/8.28 | (is_a_theorem @ X1))),
% 53.00/8.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 53.00/8.28 thf(zip_derived_cl11, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl12, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl20, plain,
% 53.00/8.28 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 53.00/8.28 thf(zip_derived_cl2, plain,
% 53.00/8.28 (![X0 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_2])).
% 53.00/8.28 thf(zip_derived_cl6, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl11, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl15, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl48, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 53.00/8.28 thf(zip_derived_cl298, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X1 @ X0) @
% 53.00/8.28 (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl48])).
% 53.00/8.28 thf(zip_derived_cl2, plain,
% 53.00/8.28 (![X0 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_2])).
% 53.00/8.28 thf(zip_derived_cl3, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_3])).
% 53.00/8.28 thf(zip_derived_cl12, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl19, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ X2 @ (implies @ (not @ (implies @ (not @ X2) @ X1)) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 53.00/8.28 thf(zip_derived_cl6, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl48, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 53.00/8.28 thf(zip_derived_cl307, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2)))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl48])).
% 53.00/8.28 thf(zip_derived_cl768, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 53.00/8.28 (implies @ X1 @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl307])).
% 53.00/8.28 thf(zip_derived_cl2, plain,
% 53.00/8.28 (![X0 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_2])).
% 53.00/8.28 thf(zip_derived_cl3, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_3])).
% 53.00/8.28 thf(zip_derived_cl0, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 53.00/8.28 | ~ (is_a_theorem @ X0)
% 53.00/8.28 | (is_a_theorem @ X1))),
% 53.00/8.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 53.00/8.28 thf(zip_derived_cl7, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl15, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl52, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X1)
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X3) @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl15])).
% 53.00/8.28 thf(zip_derived_cl407, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X0)
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl52])).
% 53.00/8.28 thf(zip_derived_cl12, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl437, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl12])).
% 53.00/8.28 thf(zip_derived_cl11, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl445, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X0)
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl852, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl768, zip_derived_cl445])).
% 53.00/8.28 thf(zip_derived_cl903, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl852])).
% 53.00/8.28 thf(zip_derived_cl11, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl922, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X0) @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl903, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl1215, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ X1 @ (implies @ (implies @ (not @ X0) @ X0) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl922])).
% 53.00/8.28 thf(zip_derived_cl6, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl1, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X0 @ X1) @
% 53.00/8.28 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_1])).
% 53.00/8.28 thf(zip_derived_cl11, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl14, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl41, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X1 @ X3) @
% 53.00/8.28 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 53.00/8.28 thf(zip_derived_cl3, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_3])).
% 53.00/8.28 thf(zip_derived_cl15, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl47, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 53.00/8.28 thf(zip_derived_cl14, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl270, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X3 @ (implies @ X2 @ X1)) @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X3)) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl14])).
% 53.00/8.28 thf(zip_derived_cl285, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ X2 @ (implies @ (implies @ X4 @ X3) @ X0)))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X4 @ (not @ X1)) @
% 53.00/8.28 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl270])).
% 53.00/8.28 thf(zip_derived_cl5710, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (not @ X0) @ (not @ X2)) @
% 53.00/8.28 (implies @ X1 @ (implies @ X2 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)],
% 53.00/8.28 [zip_derived_cl1215, zip_derived_cl285])).
% 53.00/8.28 thf(zip_derived_cl6, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl298, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ X1 @ X0) @
% 53.00/8.28 (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl48])).
% 53.00/8.28 thf(zip_derived_cl2, plain,
% 53.00/8.28 (![X0 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_2])).
% 53.00/8.28 thf(zip_derived_cl11, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl13, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl11, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl27, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl581, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @
% 53.00/8.28 (implies @ (not @ (implies @ X1 @ X0)) @ (implies @ X1 @ X0)) @
% 53.00/8.28 X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl27])).
% 53.00/8.28 thf(zip_derived_cl903, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl852])).
% 53.00/8.28 thf(zip_derived_cl2, plain,
% 53.00/8.28 (![X0 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 53.00/8.28 inference('cnf', [status(esa)], [cn_2])).
% 53.00/8.28 thf(zip_derived_cl437, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl12])).
% 53.00/8.28 thf(zip_derived_cl15, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 53.00/8.28 thf(zip_derived_cl446, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X0)
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl15])).
% 53.00/8.28 thf(zip_derived_cl13331, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ X1)
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl446])).
% 53.00/8.28 thf(zip_derived_cl48, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 53.00/8.28 thf(zip_derived_cl13466, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (not @ X1) @ X1))
% 53.00/8.28 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)],
% 53.00/8.28 [zip_derived_cl13331, zip_derived_cl48])).
% 53.00/8.28 thf(zip_derived_cl14153, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 53.00/8.28 inference('s_sup-', [status(thm)],
% 53.00/8.28 [zip_derived_cl903, zip_derived_cl13466])).
% 53.00/8.28 thf(zip_derived_cl47, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 53.00/8.28 | (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 53.00/8.28 thf(zip_derived_cl0, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 53.00/8.28 | ~ (is_a_theorem @ X0)
% 53.00/8.28 | (is_a_theorem @ X1))),
% 53.00/8.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 53.00/8.28 thf(zip_derived_cl262, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 53.00/8.28 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X1))
% 53.00/8.28 | (is_a_theorem @ X0))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 53.00/8.28 thf(zip_derived_cl14451, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (not @ (implies @ X1 @ X1)) @ X2) @ X0))
% 53.00/8.28 | (is_a_theorem @ X0))),
% 53.00/8.28 inference('s_sup-', [status(thm)],
% 53.00/8.28 [zip_derived_cl14153, zip_derived_cl262])).
% 53.00/8.28 thf(zip_derived_cl22069, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X1) @ X0))
% 53.00/8.28 | (is_a_theorem @ X0))),
% 53.00/8.28 inference('s_sup-', [status(thm)],
% 53.00/8.28 [zip_derived_cl581, zip_derived_cl14451])).
% 53.00/8.28 thf(zip_derived_cl22443, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X0) @ X0)))
% 53.00/8.28 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl22069])).
% 53.00/8.28 thf(zip_derived_cl23163, plain,
% 53.00/8.28 (![X0 : $i, X1 : $i]:
% 53.00/8.28 (is_a_theorem @
% 53.00/8.28 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 53.00/8.28 inference('s_sup-', [status(thm)],
% 53.00/8.28 [zip_derived_cl5710, zip_derived_cl22443])).
% 53.00/8.28 thf(zip_derived_cl23181, plain, ($false),
% 53.00/8.28 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl23163])).
% 53.00/8.28
% 53.00/8.28 % SZS output end Refutation
% 53.00/8.28
% 53.00/8.28
% 53.00/8.28 % Terminating...
% 8.96/8.33 % Runner terminated.
% 8.96/8.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------