%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL250-1 : TPTP v9.3.1. Bugfixed 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.MNmZ4PRUHP true
% Computer : n013.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 01:35:36 PM UTC 2026
% Result : Unsatisfiable 22.01s 3.77s
% Output : Refutation 22.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL250-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MNmZ4PRUHP true
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 5 14:31:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Running portfolio for 300 s
% 0.09/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Number of cores: 8
% 0.09/0.38 % Python version: Python 3.12.3
% 0.09/0.38 % Running in FO mode
% 0.36/0.59 % Total configuration time : 435
% 0.36/0.59 % Estimated wc time : 1092
% 0.36/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 22.01/3.77 % Solved by fo/fo6_bce.sh.
% 22.01/3.77 % BCE start: 9
% 22.01/3.77 % BCE eliminated: 0
% 22.01/3.77 % PE start: 9
% 22.01/3.77 logic: neq
% 22.01/3.77 % PE eliminated: 0
% 22.01/3.77 % done 1594 iterations in 3.085s
% 22.01/3.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.01/3.77 % SZS output start Refutation
% 22.01/3.77 thf(q_type, type, q: $i).
% 22.01/3.77 thf(axiom_type, type, axiom: $i > $o).
% 22.01/3.77 thf(or_type, type, or: $i > $i > $i).
% 22.01/3.77 thf(not_type, type, not: $i > $i).
% 22.01/3.77 thf(r_type, type, r: $i).
% 22.01/3.77 thf(theorem_type, type, theorem: $i > $o).
% 22.01/3.77 thf(p_type, type, p: $i).
% 22.01/3.77 thf(prove_this, conjecture,
% 22.01/3.77 (theorem @
% 22.01/3.77 ( or @
% 22.01/3.77 ( not @ ( or @ ( not @ q ) @ r ) ) @
% 22.01/3.77 ( or @ ( not @ ( not @ ( or @ ( not @ p ) @ ( not @ q ) ) ) ) @ r ) ))).
% 22.01/3.77 thf(zf_stmt_0, negated_conjecture,
% 22.01/3.77 (~( theorem @
% 22.01/3.77 ( or @
% 22.01/3.77 ( not @ ( or @ ( not @ q ) @ r ) ) @
% 22.01/3.77 ( or @ ( not @ ( not @ ( or @ ( not @ p ) @ ( not @ q ) ) ) ) @ r ) ) )),
% 22.01/3.77 inference('cnf.neg', [status(esa)], [prove_this])).
% 22.01/3.77 thf(zip_derived_cl8, plain,
% 22.01/3.77 (~ (theorem @
% 22.01/3.77 (or @ (not @ (or @ (not @ q) @ r)) @
% 22.01/3.77 (or @ (not @ (not @ (or @ (not @ p) @ (not @ q)))) @ r)))),
% 22.01/3.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.01/3.77 thf(axiom_1_2, axiom, (axiom @ ( or @ ( not @ ( or @ A @ A ) ) @ A ))).
% 22.01/3.77 thf(zip_derived_cl0, plain,
% 22.01/3.77 (![X0 : $i]: (axiom @ (or @ (not @ (or @ X0 @ X0)) @ X0))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_2])).
% 22.01/3.77 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 22.01/3.77 thf(zip_derived_cl5, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_1])).
% 22.01/3.77 thf(axiom_1_3, axiom, (axiom @ ( or @ ( not @ A ) @ ( or @ B @ A ) ))).
% 22.01/3.77 thf(zip_derived_cl1, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]: (axiom @ (or @ (not @ X0) @ (or @ X1 @ X0)))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_3])).
% 22.01/3.77 thf(rule_3, axiom,
% 22.01/3.77 (( theorem @ ( or @ ( not @ X ) @ Z ) ) |
% 22.01/3.77 ( ~( axiom @ ( or @ ( not @ X ) @ Y ) ) ) |
% 22.01/3.77 ( ~( theorem @ ( or @ ( not @ Y ) @ Z ) ) ))).
% 22.01/3.77 thf(zip_derived_cl7, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X1))
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ X2) @ X1)))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_3])).
% 22.01/3.77 thf(zip_derived_cl30, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl52, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (~ (axiom @ (or @ (not @ (or @ X2 @ X1)) @ X0))
% 22.01/3.77 | (theorem @ (or @ (not @ X1) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl30])).
% 22.01/3.77 thf(zip_derived_cl156, plain,
% 22.01/3.77 (![X0 : $i]: (theorem @ (or @ (not @ X0) @ X0))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl52])).
% 22.01/3.77 thf(axiom_1_5, axiom,
% 22.01/3.77 (axiom @
% 22.01/3.77 ( or @ ( not @ ( or @ A @ ( or @ B @ C ) ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 22.01/3.77 thf(zip_derived_cl3, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (axiom @
% 22.01/3.77 (or @ (not @ (or @ X0 @ (or @ X1 @ X2))) @
% 22.01/3.77 (or @ X1 @ (or @ X0 @ X2))))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_5])).
% 22.01/3.77 thf(rule_2, axiom,
% 22.01/3.77 (( theorem @ X ) | ( ~( axiom @ ( or @ ( not @ Y ) @ X ) ) ) |
% 22.01/3.77 ( ~( theorem @ Y ) ))).
% 22.01/3.77 thf(zip_derived_cl6, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 ( (theorem @ X0)
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X1) @ X0))
% 22.01/3.77 | ~ (theorem @ X1))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_2])).
% 22.01/3.77 thf(zip_derived_cl35, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 22.01/3.77 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 22.01/3.77 thf(zip_derived_cl162, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (theorem @ (or @ X1 @ (or @ (not @ (or @ X1 @ X0)) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl35])).
% 22.01/3.77 thf(axiom_1_4, axiom,
% 22.01/3.77 (axiom @ ( or @ ( not @ ( or @ A @ B ) ) @ ( or @ B @ A ) ))).
% 22.01/3.77 thf(zip_derived_cl2, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (axiom @ (or @ (not @ (or @ X0 @ X1)) @ (or @ X1 @ X0)))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_4])).
% 22.01/3.77 thf(zip_derived_cl6, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 ( (theorem @ X0)
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X1) @ X0))
% 22.01/3.77 | ~ (theorem @ X1))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_2])).
% 22.01/3.77 thf(zip_derived_cl28, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 22.01/3.77 thf(zip_derived_cl489, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (theorem @ (or @ (or @ (not @ (or @ X1 @ X0)) @ X0) @ X1))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl28])).
% 22.01/3.77 thf(zip_derived_cl1, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]: (axiom @ (or @ (not @ X0) @ (or @ X1 @ X0)))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_3])).
% 22.01/3.77 thf(zip_derived_cl6, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 ( (theorem @ X0)
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X1) @ X0))
% 22.01/3.77 | ~ (theorem @ X1))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_2])).
% 22.01/3.77 thf(zip_derived_cl27, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 22.01/3.77 thf(zip_derived_cl35, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 22.01/3.77 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 22.01/3.77 thf(zip_derived_cl65, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (~ (theorem @ (or @ X1 @ X0))
% 22.01/3.77 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl35])).
% 22.01/3.77 thf(zip_derived_cl65, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (~ (theorem @ (or @ X1 @ X0))
% 22.01/3.77 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl35])).
% 22.01/3.77 thf(zip_derived_cl0, plain,
% 22.01/3.77 (![X0 : $i]: (axiom @ (or @ (not @ (or @ X0 @ X0)) @ X0))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_2])).
% 22.01/3.77 thf(zip_derived_cl6, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 ( (theorem @ X0)
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X1) @ X0))
% 22.01/3.77 | ~ (theorem @ X1))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_2])).
% 22.01/3.77 thf(zip_derived_cl25, plain,
% 22.01/3.77 (![X0 : $i]: ( (theorem @ X0) | ~ (theorem @ (or @ X0 @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 22.01/3.77 thf(zip_derived_cl243, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (~ (theorem @ (or @ (or @ X1 @ X0) @ X0))
% 22.01/3.77 | (theorem @ (or @ X1 @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl25])).
% 22.01/3.77 thf(zip_derived_cl330, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (~ (theorem @ (or @ (or @ X2 @ (or @ X1 @ X0)) @ X0))
% 22.01/3.77 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl243])).
% 22.01/3.77 thf(zip_derived_cl2142, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (theorem @ (or @ (not @ (or @ X0 @ (or @ X1 @ X0))) @ (or @ X1 @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl489, zip_derived_cl330])).
% 22.01/3.77 thf(zip_derived_cl3, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (axiom @
% 22.01/3.77 (or @ (not @ (or @ X0 @ (or @ X1 @ X2))) @
% 22.01/3.77 (or @ X1 @ (or @ X0 @ X2))))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_5])).
% 22.01/3.77 thf(zip_derived_cl7, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X1))
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ X2) @ X1)))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_3])).
% 22.01/3.77 thf(zip_derived_cl36, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ (or @ X1 @ (or @ X2 @ X0))) @ X3))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X2 @ (or @ X1 @ X0))) @ X3)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl2390, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (theorem @ (or @ (not @ (or @ X1 @ (or @ X0 @ X0))) @ (or @ X1 @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl2142, zip_derived_cl36])).
% 22.01/3.77 thf(axiom_1_6, axiom,
% 22.01/3.77 (axiom @
% 22.01/3.77 ( or @
% 22.01/3.77 ( not @ ( or @ ( not @ A ) @ B ) ) @
% 22.01/3.77 ( or @ ( not @ ( or @ C @ A ) ) @ ( or @ C @ B ) ) ))).
% 22.01/3.77 thf(zip_derived_cl4, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (axiom @
% 22.01/3.77 (or @ (not @ (or @ (not @ X0) @ X1)) @
% 22.01/3.77 (or @ (not @ (or @ X2 @ X0)) @ (or @ X2 @ X1))))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_6])).
% 22.01/3.77 thf(zip_derived_cl7, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X1))
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ X2) @ X1)))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_3])).
% 22.01/3.77 thf(zip_derived_cl41, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ (or @ (not @ X2) @ X0)) @ X3))
% 22.01/3.77 | ~ (theorem @
% 22.01/3.77 (or @ (not @ (or @ (not @ (or @ X1 @ X2)) @ (or @ X1 @ X0))) @
% 22.01/3.77 X3)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl2525, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (theorem @
% 22.01/3.77 (or @ (not @ (or @ (not @ X1) @ X0)) @
% 22.01/3.77 (or @ (not @ (or @ X0 @ X1)) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl2390, zip_derived_cl41])).
% 22.01/3.77 thf(zip_derived_cl0, plain,
% 22.01/3.77 (![X0 : $i]: (axiom @ (or @ (not @ (or @ X0 @ X0)) @ X0))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_2])).
% 22.01/3.77 thf(zip_derived_cl7, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X1))
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ X2) @ X1)))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_3])).
% 22.01/3.77 thf(zip_derived_cl29, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ (or @ X0 @ X0)) @ X1))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ X0) @ X1)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl36, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ (or @ X1 @ (or @ X2 @ X0))) @ X3))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X2 @ (or @ X1 @ X0))) @ X3)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl83, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (~ (theorem @ (or @ (not @ (or @ X2 @ X1)) @ X0))
% 22.01/3.77 | (theorem @
% 22.01/3.77 (or @ (not @ (or @ X2 @ (or @ (or @ X2 @ X1) @ X1))) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl36])).
% 22.01/3.77 thf(zip_derived_cl2, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (axiom @ (or @ (not @ (or @ X0 @ X1)) @ (or @ X1 @ X0)))),
% 22.01/3.77 inference('cnf', [status(esa)], [axiom_1_4])).
% 22.01/3.77 thf(zip_derived_cl7, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X1))
% 22.01/3.77 | ~ (axiom @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ X2) @ X1)))),
% 22.01/3.77 inference('cnf', [status(esa)], [rule_3])).
% 22.01/3.77 thf(zip_derived_cl31, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ (or @ X0 @ X1)) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl381, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (~ (theorem @ (or @ (not @ (or @ X2 @ X1)) @ X0))
% 22.01/3.77 | (theorem @
% 22.01/3.77 (or @ (not @ (or @ (or @ (or @ X2 @ X1) @ X1) @ X2)) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl31])).
% 22.01/3.77 thf(zip_derived_cl30, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl3036, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (~ (theorem @ (or @ (not @ (or @ X1 @ X2)) @ X0))
% 22.01/3.77 | (theorem @ (or @ (not @ X1) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl30])).
% 22.01/3.77 thf(zip_derived_cl3247, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (theorem @
% 22.01/3.77 (or @ (not @ (not @ X1)) @ (or @ (not @ (or @ X0 @ X1)) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)],
% 22.01/3.77 [zip_derived_cl2525, zip_derived_cl3036])).
% 22.01/3.77 thf(zip_derived_cl35, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 22.01/3.77 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 22.01/3.77 thf(zip_derived_cl5972, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i]:
% 22.01/3.77 (theorem @
% 22.01/3.77 (or @ (not @ (or @ X0 @ X1)) @ (or @ (not @ (not @ X1)) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl3247, zip_derived_cl35])).
% 22.01/3.77 thf(zip_derived_cl36, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ (or @ X1 @ (or @ X2 @ X0))) @ X3))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X2 @ (or @ X1 @ X0))) @ X3)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl5981, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (theorem @
% 22.01/3.77 (or @ (not @ (or @ X2 @ (or @ X0 @ X1))) @
% 22.01/3.77 (or @ (not @ (not @ (or @ X2 @ X1))) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl5972, zip_derived_cl36])).
% 22.01/3.77 thf(zip_derived_cl30, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ X0) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl6056, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (theorem @
% 22.01/3.77 (or @ (not @ (or @ X0 @ X1)) @
% 22.01/3.77 (or @ (not @ (not @ (or @ X2 @ X1))) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl5981, zip_derived_cl30])).
% 22.01/3.77 thf(zip_derived_cl31, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 ( (theorem @ (or @ (not @ (or @ X0 @ X1)) @ X2))
% 22.01/3.77 | ~ (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 22.01/3.77 thf(zip_derived_cl6108, plain,
% 22.01/3.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.01/3.77 (theorem @
% 22.01/3.77 (or @ (not @ (or @ X1 @ X0)) @
% 22.01/3.77 (or @ (not @ (not @ (or @ X2 @ X1))) @ X0)))),
% 22.01/3.77 inference('s_sup-', [status(thm)], [zip_derived_cl6056, zip_derived_cl31])).
% 22.01/3.77 thf(zip_derived_cl6116, plain, ($false),
% 22.01/3.77 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl6108])).
% 22.01/3.77
% 22.01/3.77 % SZS output end Refutation
% 22.01/3.77
% 22.01/3.77
% 22.01/3.77 % Terminating...
% 22.01/3.79 % Runner terminated.
% 4.48/3.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------