%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL235-3 : 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.lw5QrfOEjA true
% Computer : n004.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 01:35:33 PM UTC 2026
% Result : Unsatisfiable 5.56s 1.45s
% Output : Refutation 5.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL235-3 : 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.lw5QrfOEjA true
% 0.03/0.36 % Computer : n004.cluster.edu
% 0.03/0.36 % Model : x86_64 x86_64
% 0.03/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.36 % Memory : 8046.5625MB
% 0.03/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Sat Sep 5 15:58:15 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 % Running portfolio for 300 s
% 0.03/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.37 % Number of cores: 8
% 0.03/0.37 % Python version: Python 3.12.3
% 0.03/0.37 % Running in FO mode
% 0.46/0.65 % Total configuration time : 435
% 0.46/0.65 % Estimated wc time : 1092
% 0.46/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.56/1.45 % Solved by fo/fo3_bce.sh.
% 5.56/1.45 % BCE start: 10
% 5.56/1.45 % BCE eliminated: 0
% 5.56/1.45 % PE start: 10
% 5.56/1.45 logic: eq
% 5.56/1.45 % PE eliminated: 1
% 5.56/1.45 % done 850 iterations in 0.631s
% 5.56/1.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.56/1.45 % SZS output start Refutation
% 5.56/1.45 thf(p_type, type, p: $i).
% 5.56/1.45 thf(axiom_type, type, axiom: $i > $o).
% 5.56/1.45 thf(implies_type, type, implies: $i > $i > $i).
% 5.56/1.45 thf(q_type, type, q: $i).
% 5.56/1.45 thf(or_type, type, or: $i > $i > $i).
% 5.56/1.45 thf(and_type, type, and: $i > $i > $i).
% 5.56/1.45 thf(theorem_type, type, theorem: $i > $o).
% 5.56/1.45 thf(not_type, type, not: $i > $i).
% 5.56/1.45 thf(prove_this, conjecture,
% 5.56/1.45 (theorem @
% 5.56/1.45 ( implies @ ( not @ ( and @ p @ q ) ) @ ( or @ ( not @ p ) @ ( not @ q ) ) ))).
% 5.56/1.45 thf(zf_stmt_0, negated_conjecture,
% 5.56/1.45 (~( theorem @
% 5.56/1.45 ( implies @
% 5.56/1.45 ( not @ ( and @ p @ q ) ) @ ( or @ ( not @ p ) @ ( not @ q ) ) ) )),
% 5.56/1.45 inference('cnf.neg', [status(esa)], [prove_this])).
% 5.56/1.45 thf(zip_derived_cl9, plain,
% 5.56/1.45 (~ (theorem @
% 5.56/1.45 (implies @ (not @ (and @ p @ q)) @ (or @ (not @ p) @ (not @ q))))),
% 5.56/1.45 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.56/1.45 thf(implies_definition, axiom,
% 5.56/1.45 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl37, plain,
% 5.56/1.45 (~ (theorem @
% 5.56/1.45 (implies @ (not @ (and @ p @ q)) @ (implies @ p @ (not @ q))))),
% 5.56/1.45 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 5.56/1.45 thf(and_defn, axiom,
% 5.56/1.45 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 5.56/1.45 thf(zip_derived_cl8, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 5.56/1.45 inference('cnf', [status(esa)], [and_defn])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl38, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 5.56/1.45 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 5.56/1.45 thf(zip_derived_cl39, plain,
% 5.56/1.45 (~ (theorem @
% 5.56/1.45 (implies @ (not @ (not @ (implies @ p @ (not @ q)))) @
% 5.56/1.45 (implies @ p @ (not @ q))))),
% 5.56/1.45 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl38])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 5.56/1.45 thf(zip_derived_cl0, plain,
% 5.56/1.45 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 5.56/1.45 inference('cnf', [status(esa)], [axiom_1_2])).
% 5.56/1.45 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 5.56/1.45 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_1])).
% 5.56/1.45 thf(zip_derived_cl32, plain,
% 5.56/1.45 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 5.56/1.45 inference('dp-resolution', [status(thm)],
% 5.56/1.45 [zip_derived_cl0, zip_derived_cl6])).
% 5.56/1.45 thf(axiom_1_6, axiom,
% 5.56/1.45 (axiom @
% 5.56/1.45 ( implies @
% 5.56/1.45 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 5.56/1.45 thf(zip_derived_cl4, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (axiom @
% 5.56/1.45 (implies @ (implies @ X0 @ X1) @
% 5.56/1.45 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 5.56/1.45 inference('cnf', [status(esa)], [axiom_1_6])).
% 5.56/1.45 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_1])).
% 5.56/1.45 thf(zip_derived_cl36, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (theorem @
% 5.56/1.45 (implies @ (implies @ X2 @ X0) @
% 5.56/1.45 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 5.56/1.45 inference('dp-resolution', [status(thm)],
% 5.56/1.45 [zip_derived_cl4, zip_derived_cl6])).
% 5.56/1.45 thf(rule_2, axiom,
% 5.56/1.45 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 5.56/1.45 ( ~( theorem @ Y ) ))).
% 5.56/1.45 thf(zip_derived_cl7, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X0)
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.45 thf(zip_derived_cl61, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X2 @ X0))
% 5.56/1.45 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl7, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X0)
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.45 thf(zip_derived_cl243, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X2 @ X0))
% 5.56/1.45 | ~ (theorem @ (or @ X1 @ X2))
% 5.56/1.45 | (theorem @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl267, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ (or @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl243])).
% 5.56/1.45 thf(zip_derived_cl284, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 5.56/1.45 | (theorem @ (or @ (not @ X1) @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl267])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl286, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 5.56/1.45 | (theorem @ (implies @ X1 @ X0)))),
% 5.56/1.45 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl5])).
% 5.56/1.45 thf(zip_derived_cl61, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X2 @ X0))
% 5.56/1.45 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl306, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ (implies @ (or @ X0 @ X1) @ X0))
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0)))),
% 5.56/1.45 inference('sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl61])).
% 5.56/1.45 thf(zip_derived_cl7, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X0)
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.45 thf(zip_derived_cl2120, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ (or @ X0 @ X1))
% 5.56/1.45 | (theorem @ X0))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl306, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 5.56/1.45 thf(zip_derived_cl1, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('cnf', [status(esa)], [axiom_1_3])).
% 5.56/1.45 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_1])).
% 5.56/1.45 thf(zip_derived_cl33, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('dp-resolution', [status(thm)],
% 5.56/1.45 [zip_derived_cl1, zip_derived_cl6])).
% 5.56/1.45 thf(zip_derived_cl46, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 5.56/1.45 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 5.56/1.45 thf(zip_derived_cl46, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 5.56/1.45 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(axiom_1_5, axiom,
% 5.56/1.45 (axiom @
% 5.56/1.45 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 5.56/1.45 thf(zip_derived_cl3, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (axiom @
% 5.56/1.45 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 5.56/1.45 inference('cnf', [status(esa)], [axiom_1_5])).
% 5.56/1.45 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_1])).
% 5.56/1.45 thf(zip_derived_cl35, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (theorem @
% 5.56/1.45 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 5.56/1.45 inference('dp-resolution', [status(thm)],
% 5.56/1.45 [zip_derived_cl3, zip_derived_cl6])).
% 5.56/1.45 thf(zip_derived_cl7, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X0)
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.45 thf(zip_derived_cl51, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 5.56/1.45 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl125, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 5.56/1.45 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl51])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl128, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 5.56/1.45 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 5.56/1.45 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl5])).
% 5.56/1.45 thf(zip_derived_cl186, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 5.56/1.45 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl128])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl187, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 5.56/1.45 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 5.56/1.45 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl5])).
% 5.56/1.45 thf(zip_derived_cl196, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl187])).
% 5.56/1.45 thf(zip_derived_cl7, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X0)
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.45 thf(zip_derived_cl203, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl208, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl203])).
% 5.56/1.45 thf(zip_derived_cl33, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('dp-resolution', [status(thm)],
% 5.56/1.45 [zip_derived_cl1, zip_derived_cl6])).
% 5.56/1.45 thf(zip_derived_cl7, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X0)
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.45 thf(zip_derived_cl44, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl196, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl187])).
% 5.56/1.45 thf(zip_derived_cl243, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X2 @ X0))
% 5.56/1.45 | ~ (theorem @ (or @ X1 @ X2))
% 5.56/1.45 | (theorem @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl257, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 ( (theorem @ (or @ X2 @ (implies @ X0 @ X0)))
% 5.56/1.45 | ~ (theorem @ (or @ X2 @ X1)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl243])).
% 5.56/1.45 thf(zip_derived_cl517, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ X0) | (theorem @ (or @ X1 @ (implies @ X2 @ X2))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl257])).
% 5.56/1.45 thf(zip_derived_cl533, plain,
% 5.56/1.45 (![X1 : $i, X2 : $i]: (theorem @ (or @ X2 @ (implies @ X1 @ X1)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl517])).
% 5.56/1.45 thf(zip_derived_cl2214, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X1) | ~ (theorem @ (implies @ (implies @ X0 @ X0) @ X1)))),
% 5.56/1.45 inference('sup+', [status(thm)], [zip_derived_cl2120, zip_derived_cl533])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(axiom_1_4, axiom,
% 5.56/1.45 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 5.56/1.45 thf(zip_derived_cl2, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('cnf', [status(esa)], [axiom_1_4])).
% 5.56/1.45 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_1])).
% 5.56/1.45 thf(zip_derived_cl34, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('dp-resolution', [status(thm)],
% 5.56/1.45 [zip_derived_cl2, zip_derived_cl6])).
% 5.56/1.45 thf(zip_derived_cl50, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (theorem @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 5.56/1.45 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 5.56/1.45 thf(zip_derived_cl2293, plain,
% 5.56/1.45 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 5.56/1.45 inference('sup+', [status(thm)], [zip_derived_cl2214, zip_derived_cl50])).
% 5.56/1.45 thf(zip_derived_cl208, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl203])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl5, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.45 thf(zip_derived_cl34, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('dp-resolution', [status(thm)],
% 5.56/1.45 [zip_derived_cl2, zip_derived_cl6])).
% 5.56/1.45 thf(zip_derived_cl7, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ X0)
% 5.56/1.45 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | ~ (theorem @ X1))),
% 5.56/1.45 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.45 thf(zip_derived_cl47, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl83, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.45 | (theorem @ (or @ X0 @ (not @ X1))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl47])).
% 5.56/1.45 thf(zip_derived_cl101, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.45 ( (theorem @ (implies @ X1 @ (not @ X0)))
% 5.56/1.45 | ~ (theorem @ (implies @ X0 @ (not @ X1))))),
% 5.56/1.45 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl83])).
% 5.56/1.45 thf(zip_derived_cl234, plain,
% 5.56/1.45 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl101])).
% 5.56/1.45 thf(zip_derived_cl243, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.56/1.45 (~ (theorem @ (implies @ X2 @ X0))
% 5.56/1.45 | ~ (theorem @ (or @ X1 @ X2))
% 5.56/1.45 | (theorem @ (or @ X1 @ X0)))),
% 5.56/1.45 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl7])).
% 5.56/1.45 thf(zip_derived_cl262, plain,
% 5.56/1.45 (![X0 : $i, X1 : $i]:
% 5.56/1.46 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 5.56/1.46 | ~ (theorem @ (or @ X1 @ X0)))),
% 5.56/1.46 inference('sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl243])).
% 5.56/1.46 thf(zip_derived_cl5, plain,
% 5.56/1.46 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 5.56/1.46 inference('cnf', [status(esa)], [implies_definition])).
% 5.56/1.46 thf(zip_derived_cl34, plain,
% 5.56/1.46 (![X0 : $i, X1 : $i]:
% 5.56/1.46 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 5.56/1.46 inference('dp-resolution', [status(thm)],
% 5.56/1.46 [zip_derived_cl2, zip_derived_cl6])).
% 5.56/1.46 thf(zip_derived_cl49, plain,
% 5.56/1.46 (![X0 : $i, X1 : $i]:
% 5.56/1.46 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 5.56/1.46 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 5.56/1.46 thf(zip_derived_cl7, plain,
% 5.56/1.46 (![X0 : $i, X1 : $i]:
% 5.56/1.46 ( (theorem @ X0)
% 5.56/1.46 | ~ (theorem @ (implies @ X1 @ X0))
% 5.56/1.46 | ~ (theorem @ X1))),
% 5.56/1.46 inference('cnf', [status(esa)], [rule_2])).
% 5.56/1.46 thf(zip_derived_cl103, plain,
% 5.56/1.46 (![X0 : $i, X1 : $i]:
% 5.56/1.46 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 5.56/1.46 | (theorem @ (implies @ X1 @ X0)))),
% 5.56/1.46 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl7])).
% 5.56/1.46 thf(zip_derived_cl1358, plain,
% 5.56/1.46 (![X0 : $i, X1 : $i]:
% 5.56/1.46 (~ (theorem @ (or @ X1 @ X0))
% 5.56/1.46 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 5.56/1.46 inference('sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl103])).
% 5.56/1.46 thf(zip_derived_cl2327, plain,
% 5.56/1.46 (![X0 : $i]: (theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 5.56/1.46 inference('sup-', [status(thm)], [zip_derived_cl2293, zip_derived_cl1358])).
% 5.56/1.46 thf(zip_derived_cl2419, plain, ($false),
% 5.56/1.46 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl2327])).
% 5.56/1.46
% 5.56/1.46 % SZS output end Refutation
% 5.56/1.46
% 5.56/1.46
% 5.56/1.46 % Terminating...
% 5.56/1.50 % Runner terminated.
% 2.90/1.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------