%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL248-3 : 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.aVIVfLToeU true
% Computer : n018.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 01:35:35 PM UTC 2026
% Result : Unsatisfiable 61.61s 9.50s
% Output : Refutation 61.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL248-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aVIVfLToeU true
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 23:47:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.35/0.60 % Total configuration time : 435
% 0.35/0.60 % Estimated wc time : 1092
% 0.35/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 61.61/9.50 % Solved by fo/fo5.sh.
% 61.61/9.50 % done 5496 iterations in 8.722s
% 61.61/9.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 61.61/9.50 % SZS output start Refutation
% 61.61/9.50 thf(p_type, type, p: $i).
% 61.61/9.50 thf(axiom_type, type, axiom: $i > $o).
% 61.61/9.50 thf(implies_type, type, implies: $i > $i > $i).
% 61.61/9.50 thf(q_type, type, q: $i).
% 61.61/9.50 thf(or_type, type, or: $i > $i > $i).
% 61.61/9.50 thf(and_type, type, and: $i > $i > $i).
% 61.61/9.50 thf(theorem_type, type, theorem: $i > $o).
% 61.61/9.50 thf(not_type, type, not: $i > $i).
% 61.61/9.50 thf(prove_this, conjecture,
% 61.61/9.50 (theorem @ ( implies @ ( and @ p @ q ) @ ( implies @ p @ q ) ))).
% 61.61/9.50 thf(zf_stmt_0, negated_conjecture,
% 61.61/9.50 (~( theorem @ ( implies @ ( and @ p @ q ) @ ( implies @ p @ q ) ) )),
% 61.61/9.50 inference('cnf.neg', [status(esa)], [prove_this])).
% 61.61/9.50 thf(zip_derived_cl9, plain,
% 61.61/9.50 (~ (theorem @ (implies @ (and @ p @ q) @ (implies @ p @ q)))),
% 61.61/9.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 61.61/9.50 thf(implies_definition, axiom,
% 61.61/9.50 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 61.61/9.50 thf(zip_derived_cl1, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('cnf', [status(esa)], [axiom_1_3])).
% 61.61/9.50 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 61.61/9.50 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_1])).
% 61.61/9.50 thf(zip_derived_cl12, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 61.61/9.50 thf(zip_derived_cl19, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 61.61/9.50 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(axiom_1_5, axiom,
% 61.61/9.50 (axiom @
% 61.61/9.50 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 61.61/9.50 thf(zip_derived_cl3, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (axiom @
% 61.61/9.50 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 61.61/9.50 inference('cnf', [status(esa)], [axiom_1_5])).
% 61.61/9.50 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_1])).
% 61.61/9.50 thf(zip_derived_cl46, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (theorem @
% 61.61/9.50 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 61.61/9.50 thf(rule_2, axiom,
% 61.61/9.50 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 61.61/9.50 ( ~( theorem @ Y ) ))).
% 61.61/9.50 thf(zip_derived_cl7, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ X0)
% 61.61/9.50 | ~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | ~ (theorem @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_2])).
% 61.61/9.50 thf(zip_derived_cl479, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 61.61/9.50 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl511, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 61.61/9.50 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl479])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl514, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 61.61/9.50 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 61.61/9.50 inference('demod', [status(thm)], [zip_derived_cl511, zip_derived_cl5])).
% 61.61/9.50 thf(zip_derived_cl763, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 61.61/9.50 | (theorem @ (or @ (not @ X1) @ (implies @ X2 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl514])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl765, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 61.61/9.50 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 61.61/9.50 inference('demod', [status(thm)], [zip_derived_cl763, zip_derived_cl5])).
% 61.61/9.50 thf(zip_derived_cl767, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl765])).
% 61.61/9.50 thf(zip_derived_cl7, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ X0)
% 61.61/9.50 | ~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | ~ (theorem @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_2])).
% 61.61/9.50 thf(zip_derived_cl781, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl767, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl19, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 61.61/9.50 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 61.61/9.50 thf(zip_derived_cl790, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 61.61/9.50 inference('sup+', [status(thm)], [zip_derived_cl781, zip_derived_cl19])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(axiom_1_4, axiom,
% 61.61/9.50 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 61.61/9.50 thf(zip_derived_cl2, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('cnf', [status(esa)], [axiom_1_4])).
% 61.61/9.50 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_1])).
% 61.61/9.50 thf(zip_derived_cl20, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 61.61/9.50 thf(zip_derived_cl7, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ X0)
% 61.61/9.50 | ~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | ~ (theorem @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_2])).
% 61.61/9.50 thf(zip_derived_cl67, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl71, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | (theorem @ (or @ X0 @ (not @ X1))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 61.61/9.50 thf(zip_derived_cl894, plain,
% 61.61/9.50 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl790, zip_derived_cl71])).
% 61.61/9.50 thf(zip_derived_cl12, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 61.61/9.50 thf(zip_derived_cl7, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ X0)
% 61.61/9.50 | ~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | ~ (theorem @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_2])).
% 61.61/9.50 thf(zip_derived_cl18, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl479, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 61.61/9.50 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl508, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (or @ X1 @ X0))
% 61.61/9.50 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl479])).
% 61.61/9.50 thf(zip_derived_cl909, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (or @ X1 @ (not @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl894, zip_derived_cl508])).
% 61.61/9.50 thf(zip_derived_cl1051, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (theorem @ (or @ X0 @ (implies @ X1 @ (not @ X0))))),
% 61.61/9.50 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl909])).
% 61.61/9.50 thf(zip_derived_cl790, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 61.61/9.50 inference('sup+', [status(thm)], [zip_derived_cl781, zip_derived_cl19])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl20, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 61.61/9.50 thf(zip_derived_cl68, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 61.61/9.50 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl20])).
% 61.61/9.50 thf(zip_derived_cl7, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ X0)
% 61.61/9.50 | ~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | ~ (theorem @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_2])).
% 61.61/9.50 thf(zip_derived_cl241, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 61.61/9.50 | (theorem @ (implies @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl279, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 61.61/9.50 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl241])).
% 61.61/9.50 thf(zip_derived_cl901, plain,
% 61.61/9.50 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl790, zip_derived_cl279])).
% 61.61/9.50 thf(axiom_1_6, axiom,
% 61.61/9.50 (axiom @
% 61.61/9.50 ( implies @
% 61.61/9.50 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 61.61/9.50 thf(zip_derived_cl4, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (axiom @
% 61.61/9.50 (implies @ (implies @ X0 @ X1) @
% 61.61/9.50 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 61.61/9.50 inference('cnf', [status(esa)], [axiom_1_6])).
% 61.61/9.50 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_1])).
% 61.61/9.50 thf(zip_derived_cl40, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (theorem @
% 61.61/9.50 (implies @ (implies @ X2 @ X0) @
% 61.61/9.50 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 61.61/9.50 thf(zip_derived_cl7, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ X0)
% 61.61/9.50 | ~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | ~ (theorem @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_2])).
% 61.61/9.50 thf(zip_derived_cl263, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X2 @ X0))
% 61.61/9.50 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl929, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (theorem @
% 61.61/9.50 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0)))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl901, zip_derived_cl263])).
% 61.61/9.50 thf(zip_derived_cl7, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ X0)
% 61.61/9.50 | ~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | ~ (theorem @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [rule_2])).
% 61.61/9.50 thf(zip_derived_cl23065, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (~ (theorem @ (or @ X1 @ X0))
% 61.61/9.50 | (theorem @ (or @ X1 @ (not @ (not @ X0)))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl929, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl27044, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (theorem @ (or @ X0 @ (not @ (not @ (implies @ X1 @ (not @ X0))))))),
% 61.61/9.50 inference('sup-', [status(thm)],
% 61.61/9.50 [zip_derived_cl1051, zip_derived_cl23065])).
% 61.61/9.50 thf(and_defn, axiom,
% 61.61/9.50 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 61.61/9.50 thf(zip_derived_cl8, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 61.61/9.50 inference('cnf', [status(esa)], [and_defn])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl34, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 61.61/9.50 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 61.61/9.50 thf(zip_derived_cl27202, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (not @ (and @ X1 @ X0))))),
% 61.61/9.50 inference('demod', [status(thm)], [zip_derived_cl27044, zip_derived_cl34])).
% 61.61/9.50 thf(zip_derived_cl241, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 61.61/9.50 | (theorem @ (implies @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl27554, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (theorem @ (implies @ (and @ X1 @ X0) @ X0))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl27202, zip_derived_cl241])).
% 61.61/9.50 thf(zip_derived_cl5, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 61.61/9.50 inference('cnf', [status(esa)], [implies_definition])).
% 61.61/9.50 thf(zip_derived_cl18, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 61.61/9.50 thf(zip_derived_cl26, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i]:
% 61.61/9.50 ( (theorem @ (implies @ X1 @ X0)) | ~ (theorem @ X0))),
% 61.61/9.50 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl18])).
% 61.61/9.50 thf(zip_derived_cl765, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 61.61/9.50 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 61.61/9.50 inference('demod', [status(thm)], [zip_derived_cl763, zip_derived_cl5])).
% 61.61/9.50 thf(zip_derived_cl766, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (~ (theorem @ (implies @ X1 @ X0))
% 61.61/9.50 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl765])).
% 61.61/9.50 thf(zip_derived_cl27698, plain,
% 61.61/9.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 61.61/9.50 (theorem @ (implies @ (and @ X1 @ X0) @ (implies @ X2 @ X0)))),
% 61.61/9.50 inference('sup-', [status(thm)], [zip_derived_cl27554, zip_derived_cl766])).
% 61.61/9.50 thf(zip_derived_cl30216, plain, ($false),
% 61.61/9.50 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl27698])).
% 61.61/9.50
% 61.61/9.50 % SZS output end Refutation
% 61.61/9.50
% 61.61/9.50
% 61.61/9.50 % Terminating...
% 62.32/9.56 % Runner terminated.
% 62.32/9.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------