%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL341-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4tb71lt3mf 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 01:35:44 PM UTC 2026
% Result : Unsatisfiable 162.81s 24.13s
% Output : Refutation 162.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL341-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4tb71lt3mf true
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 5 04:06:20 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 % Running portfolio for 300 s
% 0.11/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39 % Number of cores: 8
% 0.11/0.39 % Python version: Python 3.12.3
% 0.11/0.40 % Running in FO mode
% 0.45/0.67 % Total configuration time : 435
% 0.45/0.67 % Estimated wc time : 1092
% 0.45/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 162.81/24.13 % Solved by fo/fo6_bce.sh.
% 162.81/24.13 % BCE start: 11
% 162.81/24.13 % BCE eliminated: 0
% 162.81/24.13 % PE start: 11
% 162.81/24.13 logic: eq
% 162.81/24.13 % PE eliminated: 1
% 162.81/24.13 % done 3510 iterations in 23.265s
% 162.81/24.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 162.81/24.13 % SZS output start Refutation
% 162.81/24.13 thf(axiom_type, type, axiom: $i > $o).
% 162.81/24.13 thf(implies_type, type, implies: $i > $i > $i).
% 162.81/24.13 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 162.81/24.13 thf(p_type, type, p: $i).
% 162.81/24.13 thf(q_type, type, q: $i).
% 162.81/24.13 thf(or_type, type, or: $i > $i > $i).
% 162.81/24.13 thf(and_type, type, and: $i > $i > $i).
% 162.81/24.13 thf(theorem_type, type, theorem: $i > $o).
% 162.81/24.13 thf(not_type, type, not: $i > $i).
% 162.81/24.13 thf(equivalent_defn, axiom,
% 162.81/24.13 (( equivalent @ P @ Q ) =
% 162.81/24.13 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 162.81/24.13 thf(zip_derived_cl9, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ((equivalent @ X0 @ X1)
% 162.81/24.13 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 162.81/24.13 inference('cnf', [status(esa)], [equivalent_defn])).
% 162.81/24.13 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 162.81/24.13 thf(zip_derived_cl1, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 162.81/24.13 inference('cnf', [status(esa)], [axiom_1_3])).
% 162.81/24.13 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 162.81/24.13 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_1])).
% 162.81/24.13 thf(zip_derived_cl34, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 162.81/24.13 inference('dp-resolution', [status(thm)],
% 162.81/24.13 [zip_derived_cl1, zip_derived_cl6])).
% 162.81/24.13 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 162.81/24.13 thf(zip_derived_cl0, plain,
% 162.81/24.13 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 162.81/24.13 inference('cnf', [status(esa)], [axiom_1_2])).
% 162.81/24.13 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_1])).
% 162.81/24.13 thf(zip_derived_cl33, plain,
% 162.81/24.13 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 162.81/24.13 inference('dp-resolution', [status(thm)],
% 162.81/24.13 [zip_derived_cl0, zip_derived_cl6])).
% 162.81/24.13 thf(implies_definition, axiom,
% 162.81/24.13 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(axiom_1_6, axiom,
% 162.81/24.13 (axiom @
% 162.81/24.13 ( implies @
% 162.81/24.13 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 162.81/24.13 thf(zip_derived_cl4, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (axiom @
% 162.81/24.13 (implies @ (implies @ X0 @ X1) @
% 162.81/24.13 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 162.81/24.13 inference('cnf', [status(esa)], [axiom_1_6])).
% 162.81/24.13 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_1])).
% 162.81/24.13 thf(zip_derived_cl37, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (theorem @
% 162.81/24.13 (implies @ (implies @ X2 @ X0) @
% 162.81/24.13 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 162.81/24.13 inference('dp-resolution', [status(thm)],
% 162.81/24.13 [zip_derived_cl4, zip_derived_cl6])).
% 162.81/24.13 thf(rule_2, axiom,
% 162.81/24.13 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 162.81/24.13 ( ~( theorem @ Y ) ))).
% 162.81/24.13 thf(zip_derived_cl7, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ( (theorem @ X0)
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_2])).
% 162.81/24.13 thf(zip_derived_cl78, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X2 @ X0)))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl7])).
% 162.81/24.13 thf(zip_derived_cl127, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X2 @ X0)))),
% 162.81/24.13 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl78])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(zip_derived_cl131, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X2 @ X0)))),
% 162.81/24.13 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl5])).
% 162.81/24.13 thf(zip_derived_cl7, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ( (theorem @ X0)
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_2])).
% 162.81/24.13 thf(zip_derived_cl186, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (~ (theorem @ (implies @ X2 @ X0))
% 162.81/24.13 | (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ X2)))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl7])).
% 162.81/24.13 thf(zip_derived_cl214, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl186])).
% 162.81/24.13 thf(zip_derived_cl236, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl214])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(axiom_1_5, axiom,
% 162.81/24.13 (axiom @
% 162.81/24.13 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 162.81/24.13 thf(zip_derived_cl3, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (axiom @
% 162.81/24.13 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 162.81/24.13 inference('cnf', [status(esa)], [axiom_1_5])).
% 162.81/24.13 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_1])).
% 162.81/24.13 thf(zip_derived_cl36, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (theorem @
% 162.81/24.13 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 162.81/24.13 inference('dp-resolution', [status(thm)],
% 162.81/24.13 [zip_derived_cl3, zip_derived_cl6])).
% 162.81/24.13 thf(zip_derived_cl7, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ( (theorem @ X0)
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_2])).
% 162.81/24.13 thf(zip_derived_cl63, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 162.81/24.13 thf(zip_derived_cl177, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl63])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(zip_derived_cl182, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (or @ X1 @ (implies @ X2 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 162.81/24.13 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl5])).
% 162.81/24.13 thf(zip_derived_cl1442, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 162.81/24.13 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl182])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(zip_derived_cl1445, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 162.81/24.13 inference('demod', [status(thm)], [zip_derived_cl1442, zip_derived_cl5])).
% 162.81/24.13 thf(zip_derived_cl1482, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 162.81/24.13 inference('s_sup-', [status(thm)],
% 162.81/24.13 [zip_derived_cl236, zip_derived_cl1445])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(axiom_1_4, axiom,
% 162.81/24.13 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 162.81/24.13 thf(zip_derived_cl2, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 162.81/24.13 inference('cnf', [status(esa)], [axiom_1_4])).
% 162.81/24.13 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_1])).
% 162.81/24.13 thf(zip_derived_cl35, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 162.81/24.13 inference('dp-resolution', [status(thm)],
% 162.81/24.13 [zip_derived_cl2, zip_derived_cl6])).
% 162.81/24.13 thf(zip_derived_cl53, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 162.81/24.13 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl35])).
% 162.81/24.13 thf(zip_derived_cl161, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @
% 162.81/24.13 (implies @ (implies @ X1 @ (not @ X0)) @ (implies @ X0 @ (not @ X1))))),
% 162.81/24.13 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl53])).
% 162.81/24.13 thf(zip_derived_cl186, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (~ (theorem @ (implies @ X2 @ X0))
% 162.81/24.13 | (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ X2)))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl7])).
% 162.81/24.13 thf(zip_derived_cl1166, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ X2 @ (implies @ X1 @ (not @ X0))))
% 162.81/24.13 | ~ (theorem @ (implies @ X2 @ (implies @ X0 @ (not @ X1)))))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl186])).
% 162.81/24.13 thf(zip_derived_cl62236, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @
% 162.81/24.13 (implies @ X1 @ (implies @ X0 @ (not @ (implies @ X1 @ (not @ X0))))))),
% 162.81/24.13 inference('s_sup-', [status(thm)],
% 162.81/24.13 [zip_derived_cl1482, zip_derived_cl1166])).
% 162.81/24.13 thf(and_defn, axiom,
% 162.81/24.13 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 162.81/24.13 thf(zip_derived_cl8, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 162.81/24.13 inference('cnf', [status(esa)], [and_defn])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(zip_derived_cl38, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 162.81/24.13 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 162.81/24.13 thf(zip_derived_cl62302, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @ (implies @ X1 @ (implies @ X0 @ (and @ X1 @ X0))))),
% 162.81/24.13 inference('demod', [status(thm)], [zip_derived_cl62236, zip_derived_cl38])).
% 162.81/24.13 thf(zip_derived_cl1445, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 162.81/24.13 inference('demod', [status(thm)], [zip_derived_cl1442, zip_derived_cl5])).
% 162.81/24.13 thf(zip_derived_cl64117, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @ (implies @ X0 @ (implies @ X1 @ (and @ X1 @ X0))))),
% 162.81/24.13 inference('s_sup-', [status(thm)],
% 162.81/24.13 [zip_derived_cl62302, zip_derived_cl1445])).
% 162.81/24.13 thf(zip_derived_cl7, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ( (theorem @ X0)
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [rule_2])).
% 162.81/24.13 thf(zip_derived_cl64738, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ X1 @ (and @ X1 @ X0))) | ~ (theorem @ X0))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl64117, zip_derived_cl7])).
% 162.81/24.13 thf(zip_derived_cl65226, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 ( (theorem @ (implies @ (implies @ X1 @ X0) @ (equivalent @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X0 @ X1)))),
% 162.81/24.13 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl64738])).
% 162.81/24.13 thf(zip_derived_cl186, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (~ (theorem @ (implies @ X2 @ X0))
% 162.81/24.13 | (theorem @ (implies @ X1 @ X0))
% 162.81/24.13 | ~ (theorem @ (implies @ X1 @ X2)))),
% 162.81/24.13 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl7])).
% 162.81/24.13 thf(zip_derived_cl65293, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 162.81/24.13 (~ (theorem @ (implies @ X0 @ X1))
% 162.81/24.13 | (theorem @ (implies @ X2 @ (equivalent @ X1 @ X0)))
% 162.81/24.13 | ~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 162.81/24.13 inference('s_sup-', [status(thm)],
% 162.81/24.13 [zip_derived_cl65226, zip_derived_cl186])).
% 162.81/24.13 thf(prove_this, conjecture,
% 162.81/24.13 (theorem @ ( implies @ p @ ( equivalent @ ( implies @ p @ q ) @ q ) ))).
% 162.81/24.13 thf(zf_stmt_0, negated_conjecture,
% 162.81/24.13 (~( theorem @ ( implies @ p @ ( equivalent @ ( implies @ p @ q ) @ q ) ) )),
% 162.81/24.13 inference('cnf.neg', [status(esa)], [prove_this])).
% 162.81/24.13 thf(zip_derived_cl10, plain,
% 162.81/24.13 (~ (theorem @ (implies @ p @ (equivalent @ (implies @ p @ q) @ q)))),
% 162.81/24.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 162.81/24.13 thf(zip_derived_cl65977, plain,
% 162.81/24.13 ((~ (theorem @ (implies @ p @ (implies @ (implies @ p @ q) @ q)))
% 162.81/24.13 | ~ (theorem @ (implies @ q @ (implies @ p @ q))))),
% 162.81/24.13 inference('s_sup-', [status(thm)],
% 162.81/24.13 [zip_derived_cl65293, zip_derived_cl10])).
% 162.81/24.13 thf(zip_derived_cl1482, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]:
% 162.81/24.13 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 162.81/24.13 inference('s_sup-', [status(thm)],
% 162.81/24.13 [zip_derived_cl236, zip_derived_cl1445])).
% 162.81/24.13 thf(zip_derived_cl5, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 162.81/24.13 inference('cnf', [status(esa)], [implies_definition])).
% 162.81/24.13 thf(zip_derived_cl34, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 162.81/24.13 inference('dp-resolution', [status(thm)],
% 162.81/24.13 [zip_derived_cl1, zip_derived_cl6])).
% 162.81/24.13 thf(zip_derived_cl47, plain,
% 162.81/24.13 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 162.81/24.13 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 162.81/24.13 thf(zip_derived_cl65990, plain, ($false),
% 162.81/24.13 inference('demod', [status(thm)],
% 162.81/24.13 [zip_derived_cl65977, zip_derived_cl1482, zip_derived_cl47])).
% 162.81/24.13
% 162.81/24.13 % SZS output end Refutation
% 162.81/24.13
% 162.81/24.13
% 162.81/24.13 % Terminating...
% 24.82/24.18 % Runner terminated.
% 24.86/24.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------