%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL298-3 : 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.7IzV3RWj0y true
% Computer : n029.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 01:35:40 PM UTC 2026
% Result : Unsatisfiable 241.87s 41.07s
% Output : Refutation 241.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL298-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7IzV3RWj0y true
% 0.17/0.43 % Computer : n029.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 5 03:38:10 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Running portfolio for 300 s
% 0.17/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Number of cores: 8
% 0.17/0.44 % Python version: Python 3.12.3
% 0.17/0.44 % Running in FO mode
% 0.39/0.83 % Total configuration time : 435
% 0.39/0.83 % Estimated wc time : 1092
% 0.39/0.83 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.93 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.40/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 241.87/41.07 % Solved by fo/fo7.sh.
% 241.87/41.07 % done 10317 iterations in 39.957s
% 241.87/41.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 241.87/41.07 % SZS output start Refutation
% 241.87/41.07 thf(axiom_type, type, axiom: $i > $o).
% 241.87/41.07 thf(implies_type, type, implies: $i > $i > $i).
% 241.87/41.07 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 241.87/41.07 thf(p_type, type, p: $i).
% 241.87/41.07 thf(q_type, type, q: $i).
% 241.87/41.07 thf(or_type, type, or: $i > $i > $i).
% 241.87/41.07 thf(and_type, type, and: $i > $i > $i).
% 241.87/41.07 thf(theorem_type, type, theorem: $i > $o).
% 241.87/41.07 thf(not_type, type, not: $i > $i).
% 241.87/41.07 thf(implies_definition, axiom,
% 241.87/41.07 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 241.87/41.07 thf(zip_derived_cl1, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_3])).
% 241.87/41.07 thf(zip_derived_cl39, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 241.87/41.07 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_1])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(axiom_1_5, axiom,
% 241.87/41.07 (axiom @
% 241.87/41.07 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 241.87/41.07 thf(zip_derived_cl3, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (axiom @
% 241.87/41.07 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_5])).
% 241.87/41.07 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_1])).
% 241.87/41.07 thf(rule_2, axiom,
% 241.87/41.07 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 241.87/41.07 ( ~( theorem @ Y ) ))).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl13, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X1 @ X0)) | ~ (theorem @ X1) | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl135, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 241.87/41.07 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl162, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl135])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl165, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl166, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (or @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl165])).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl18547, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (or @ X1 @ (implies @ X2 @ X0)))
% 241.87/41.07 | ~ (theorem @ X2)
% 241.87/41.07 | (theorem @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl18574, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (or @ (not @ X2) @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl18547])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl18575, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X2 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl18574, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl18721, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl18575])).
% 241.87/41.07 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_1])).
% 241.87/41.07 thf(zip_derived_cl18736, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ( (theorem @ (implies @ X1 @ X1)) | ~ (axiom @ X0))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl18721, zip_derived_cl6])).
% 241.87/41.07 thf(zip_derived_cl39, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 241.87/41.07 thf(zip_derived_cl19406, plain,
% 241.87/41.07 (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl18736, zip_derived_cl39])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl165, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl174, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl165])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl175, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl19450, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl19406, zip_derived_cl175])).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl19508, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ X1) | (theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl19450, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(axiom_1_4, axiom,
% 241.87/41.07 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 241.87/41.07 thf(zip_derived_cl2, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_4])).
% 241.87/41.07 thf(zip_derived_cl65, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (axiom @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 241.87/41.07 thf(zip_derived_cl18575, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X2 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl18574, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl18727, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ X1)
% 241.87/41.07 | (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl18575])).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl22723, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ X1)
% 241.87/41.07 | ~ (theorem @ (or @ X0 @ (not @ X1)))
% 241.87/41.07 | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl18727, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl23053, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 241.87/41.07 | (theorem @ (not @ X1))
% 241.87/41.07 | ~ (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl22723])).
% 241.87/41.07 thf(zip_derived_cl23327, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ X1)
% 241.87/41.07 | ~ (theorem @ X0)
% 241.87/41.07 | (theorem @ (not @ (implies @ X1 @ (not @ X0)))))),
% 241.87/41.07 inference('sup-', [status(thm)],
% 241.87/41.07 [zip_derived_cl19508, zip_derived_cl23053])).
% 241.87/41.07 thf(prove_this, conjecture,
% 241.87/41.07 (theorem @
% 241.87/41.07 ( equivalent @
% 241.87/41.07 ( not @ ( and @ p @ q ) ) @ ( or @ ( not @ p ) @ ( not @ q ) ) ))).
% 241.87/41.07 thf(zf_stmt_0, negated_conjecture,
% 241.87/41.07 (~( theorem @
% 241.87/41.07 ( equivalent @
% 241.87/41.07 ( not @ ( and @ p @ q ) ) @ ( or @ ( not @ p ) @ ( not @ q ) ) ) )),
% 241.87/41.07 inference('cnf.neg', [status(esa)], [prove_this])).
% 241.87/41.07 thf(zip_derived_cl10, plain,
% 241.87/41.07 (~ (theorem @
% 241.87/41.07 (equivalent @ (not @ (and @ p @ q)) @ (or @ (not @ p) @ (not @ q))))),
% 241.87/41.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl11, plain,
% 241.87/41.07 (~ (theorem @
% 241.87/41.07 (equivalent @ (not @ (and @ p @ q)) @ (implies @ p @ (not @ q))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 241.87/41.07 thf(and_defn, axiom,
% 241.87/41.07 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 241.87/41.07 thf(zip_derived_cl8, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 241.87/41.07 inference('cnf', [status(esa)], [and_defn])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl31, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl32, plain,
% 241.87/41.07 (~ (theorem @
% 241.87/41.07 (equivalent @ (not @ (not @ (implies @ p @ (not @ q)))) @
% 241.87/41.07 (implies @ p @ (not @ q))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl31])).
% 241.87/41.07 thf(equivalent_defn, axiom,
% 241.87/41.07 (( equivalent @ P @ Q ) =
% 241.87/41.07 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 241.87/41.07 thf(zip_derived_cl9, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ((equivalent @ X0 @ X1)
% 241.87/41.07 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 241.87/41.07 inference('cnf', [status(esa)], [equivalent_defn])).
% 241.87/41.07 thf(zip_derived_cl31, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl40, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ((equivalent @ X0 @ X1)
% 241.87/41.07 = (not @
% 241.87/41.07 (implies @ (implies @ X0 @ X1) @ (not @ (implies @ X1 @ X0)))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl31])).
% 241.87/41.07 thf(zip_derived_cl41, plain,
% 241.87/41.07 (~ (theorem @
% 241.87/41.07 (not @
% 241.87/41.07 (implies @
% 241.87/41.07 (implies @ (not @ (not @ (implies @ p @ (not @ q)))) @
% 241.87/41.07 (implies @ p @ (not @ q))) @
% 241.87/41.07 (not @
% 241.87/41.07 (implies @ (implies @ p @ (not @ q)) @
% 241.87/41.07 (not @ (not @ (implies @ p @ (not @ q)))))))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl40])).
% 241.87/41.07 thf(zip_derived_cl24483, plain,
% 241.87/41.07 ((~ (theorem @
% 241.87/41.07 (implies @ (implies @ p @ (not @ q)) @
% 241.87/41.07 (not @ (not @ (implies @ p @ (not @ q))))))
% 241.87/41.07 | ~ (theorem @
% 241.87/41.07 (implies @ (not @ (not @ (implies @ p @ (not @ q)))) @
% 241.87/41.07 (implies @ p @ (not @ q)))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl23327, zip_derived_cl41])).
% 241.87/41.07 thf(zip_derived_cl19406, plain,
% 241.87/41.07 (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl18736, zip_derived_cl39])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl65, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (axiom @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 241.87/41.07 thf(zip_derived_cl13, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X1 @ X0)) | ~ (theorem @ X1) | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl92, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl107, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl92])).
% 241.87/41.07 thf(zip_derived_cl19457, plain,
% 241.87/41.07 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl19406, zip_derived_cl107])).
% 241.87/41.07 thf(zip_derived_cl24484, plain,
% 241.87/41.07 (~ (theorem @
% 241.87/41.07 (implies @ (not @ (not @ (implies @ p @ (not @ q)))) @
% 241.87/41.07 (implies @ p @ (not @ q))))),
% 241.87/41.07 inference('demod', [status(thm)],
% 241.87/41.07 [zip_derived_cl24483, zip_derived_cl19457])).
% 241.87/41.07 thf(zip_derived_cl19457, plain,
% 241.87/41.07 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl19406, zip_derived_cl107])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl2, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_4])).
% 241.87/41.07 thf(zip_derived_cl66, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (axiom @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 241.87/41.07 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_1])).
% 241.87/41.07 thf(zip_derived_cl39, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl166, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (or @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl165])).
% 241.87/41.07 thf(zip_derived_cl1, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_3])).
% 241.87/41.07 thf(zip_derived_cl13, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X1 @ X0)) | ~ (theorem @ X1) | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl38, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl165, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl171, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl165])).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl1003, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X2 @ X0))
% 241.87/41.07 | ~ (theorem @ X2)
% 241.87/41.07 | (theorem @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl18548, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 241.87/41.07 (~ (axiom @ (or @ X1 @ (implies @ X2 @ X0)))
% 241.87/41.07 | (theorem @ (or @ X3 @ (or @ X1 @ X0)))
% 241.87/41.07 | ~ (theorem @ X2))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl1003])).
% 241.87/41.07 thf(zip_derived_cl20104, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | ~ (theorem @ X1)
% 241.87/41.07 | (theorem @ (or @ X3 @ (or @ (not @ X2) @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl18548])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl20105, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | ~ (theorem @ X1)
% 241.87/41.07 | (theorem @ (or @ X3 @ (implies @ X2 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl20104, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl20265, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 ( (theorem @ (or @ X2 @ (implies @ X0 @ X0))) | ~ (theorem @ X1))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl20105])).
% 241.87/41.07 thf(zip_derived_cl19406, plain,
% 241.87/41.07 (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl18736, zip_derived_cl39])).
% 241.87/41.07 thf(zip_derived_cl20702, plain,
% 241.87/41.07 (![X1 : $i, X2 : $i]: (theorem @ (or @ X2 @ (implies @ X1 @ X1)))),
% 241.87/41.07 inference('sup+', [status(thm)],
% 241.87/41.07 [zip_derived_cl20265, zip_derived_cl19406])).
% 241.87/41.07 thf(zip_derived_cl19406, plain,
% 241.87/41.07 (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl18736, zip_derived_cl39])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl135, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 241.87/41.07 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl161, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl135])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl164, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl2, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_4])).
% 241.87/41.07 thf(zip_derived_cl13, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X1 @ X0)) | ~ (theorem @ X1) | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl64, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl17461, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X1 @ (or @ X2 @ X0)))
% 241.87/41.07 | (theorem @ (or @ (implies @ X1 @ X0) @ X2)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl64])).
% 241.87/41.07 thf(zip_derived_cl19452, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (theorem @ (or @ (implies @ (or @ X1 @ X0) @ X0) @ X1))),
% 241.87/41.07 inference('sup-', [status(thm)],
% 241.87/41.07 [zip_derived_cl19406, zip_derived_cl17461])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl38, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl135, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 241.87/41.07 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl158, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ X1 @ X0))
% 241.87/41.07 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl135])).
% 241.87/41.07 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 241.87/41.07 thf(zip_derived_cl0, plain,
% 241.87/41.07 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_2])).
% 241.87/41.07 thf(zip_derived_cl13, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X1 @ X0)) | ~ (theorem @ X1) | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl14, plain,
% 241.87/41.07 (![X0 : $i]: ( (theorem @ X0) | ~ (theorem @ (or @ X0 @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl336, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ (or @ X1 @ X0) @ X0))
% 241.87/41.07 | (theorem @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl14])).
% 241.87/41.07 thf(zip_derived_cl356, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ (implies @ X1 @ X0) @ X0))
% 241.87/41.07 | (theorem @ (or @ (not @ X1) @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl336])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl357, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ (implies @ X1 @ X0) @ X0))
% 241.87/41.07 | (theorem @ (implies @ X1 @ X0)))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl356, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl19557, plain,
% 241.87/41.07 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl19452, zip_derived_cl357])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(axiom_1_6, axiom,
% 241.87/41.07 (axiom @
% 241.87/41.07 ( implies @
% 241.87/41.07 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 241.87/41.07 thf(zip_derived_cl4, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (axiom @
% 241.87/41.07 (implies @ (implies @ X0 @ X1) @
% 241.87/41.07 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_6])).
% 241.87/41.07 thf(zip_derived_cl145, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (axiom @
% 241.87/41.07 (implies @ (implies @ X2 @ X0) @
% 241.87/41.07 (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0))))),
% 241.87/41.07 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 241.87/41.07 thf(zip_derived_cl5, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [implies_definition])).
% 241.87/41.07 thf(zip_derived_cl147, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (axiom @
% 241.87/41.07 (implies @ (implies @ X2 @ X0) @
% 241.87/41.07 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl18575, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X2 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl18574, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl18724, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X1 @ X2))
% 241.87/41.07 | (theorem @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl18575])).
% 241.87/41.07 thf(zip_derived_cl19949, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (theorem @
% 241.87/41.07 (implies @ (implies @ X0 @ X1) @ (implies @ (or @ X0 @ X0) @ X1)))),
% 241.87/41.07 inference('sup-', [status(thm)],
% 241.87/41.07 [zip_derived_cl19557, zip_derived_cl18724])).
% 241.87/41.07 thf(zip_derived_cl175, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl55221, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (theorem @
% 241.87/41.07 (implies @ (or @ X1 @ X1) @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl19949, zip_derived_cl175])).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl75723, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ X1 @ X1))
% 241.87/41.07 | (theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl55221, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl75954, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 241.87/41.07 inference('sup-', [status(thm)],
% 241.87/41.07 [zip_derived_cl20702, zip_derived_cl75723])).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl76850, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ (implies @ X1 @ X1) @ X0)) | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl75954, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl76891, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ (implies @ X1 @ X1) @ X0)) | (theorem @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl76850])).
% 241.87/41.07 thf(zip_derived_cl77201, plain,
% 241.87/41.07 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl76891])).
% 241.87/41.07 thf(zip_derived_cl4, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (axiom @
% 241.87/41.07 (implies @ (implies @ X0 @ X1) @
% 241.87/41.07 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 241.87/41.07 inference('cnf', [status(esa)], [axiom_1_6])).
% 241.87/41.07 thf(zip_derived_cl18575, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (axiom @ (implies @ X2 @ (implies @ X1 @ X0)))
% 241.87/41.07 | (theorem @ (implies @ X2 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('demod', [status(thm)], [zip_derived_cl18574, zip_derived_cl5])).
% 241.87/41.07 thf(zip_derived_cl18722, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 241.87/41.07 (~ (theorem @ (or @ X1 @ X2))
% 241.87/41.07 | (theorem @ (implies @ (implies @ X2 @ X0) @ (or @ X1 @ X0))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl18575])).
% 241.87/41.07 thf(zip_derived_cl77221, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (theorem @ (implies @ (implies @ (not @ X0) @ X1) @ (or @ X0 @ X1)))),
% 241.87/41.07 inference('sup-', [status(thm)],
% 241.87/41.07 [zip_derived_cl77201, zip_derived_cl18722])).
% 241.87/41.07 thf(zip_derived_cl7, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ X0)
% 241.87/41.07 | ~ (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ X1))),
% 241.87/41.07 inference('cnf', [status(esa)], [rule_2])).
% 241.87/41.07 thf(zip_derived_cl81659, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 (~ (theorem @ (implies @ (not @ X1) @ X0))
% 241.87/41.07 | (theorem @ (or @ X1 @ X0)))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl77221, zip_derived_cl7])).
% 241.87/41.07 thf(zip_derived_cl95376, plain,
% 241.87/41.07 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ (not @ (not @ X0)))))),
% 241.87/41.07 inference('sup-', [status(thm)],
% 241.87/41.07 [zip_derived_cl19457, zip_derived_cl81659])).
% 241.87/41.07 thf(zip_derived_cl92, plain,
% 241.87/41.07 (![X0 : $i, X1 : $i]:
% 241.87/41.07 ( (theorem @ (implies @ X1 @ X0))
% 241.87/41.07 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl13])).
% 241.87/41.07 thf(zip_derived_cl96388, plain,
% 241.87/41.07 (![X0 : $i]: (theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 241.87/41.07 inference('sup-', [status(thm)], [zip_derived_cl95376, zip_derived_cl92])).
% 241.87/41.07 thf(zip_derived_cl97712, plain, ($false),
% 241.87/41.07 inference('demod', [status(thm)],
% 241.87/41.07 [zip_derived_cl24484, zip_derived_cl96388])).
% 241.87/41.07
% 241.87/41.07 % SZS output end Refutation
% 241.87/41.07
% 241.87/41.07
% 241.87/41.07 % Terminating...
% 241.87/41.11 % Runner terminated.
% 42.12/41.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------