%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL209-3 : 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.YhbhYVPUXK true
% Computer : n031.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 01:35:28 PM UTC 2026
% Result : Unsatisfiable 133.46s 19.77s
% Output : Refutation 133.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL209-3 : TPTP v9.3.1. Released 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.YhbhYVPUXK true
% 0.10/0.38 % Computer : n031.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 4 16:34:09 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.39 % Python version: Python 3.12.3
% 0.10/0.39 % Running in FO mode
% 0.44/0.66 % Total configuration time : 435
% 0.44/0.66 % Estimated wc time : 1092
% 0.44/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 133.46/19.77 % Solved by fo/fo3_bce.sh.
% 133.46/19.77 % BCE start: 9
% 133.46/19.77 % BCE eliminated: 0
% 133.46/19.77 % PE start: 9
% 133.46/19.77 logic: eq
% 133.46/19.77 % PE eliminated: 1
% 133.46/19.77 % done 18760 iterations in 18.923s
% 133.46/19.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 133.46/19.77 % SZS output start Refutation
% 133.46/19.77 thf(axiom_type, type, axiom: $i > $o).
% 133.46/19.77 thf(implies_type, type, implies: $i > $i > $i).
% 133.46/19.77 thf(p_type, type, p: $i).
% 133.46/19.77 thf(or_type, type, or: $i > $i > $i).
% 133.46/19.77 thf(q_type, type, q: $i).
% 133.46/19.77 thf(theorem_type, type, theorem: $i > $o).
% 133.46/19.77 thf(not_type, type, not: $i > $i).
% 133.46/19.77 thf(prove_this, conjecture,
% 133.46/19.77 (theorem @ ( implies @ ( implies @ ( not @ p ) @ q ) @ ( or @ p @ q ) ))).
% 133.46/19.77 thf(zf_stmt_0, negated_conjecture,
% 133.46/19.77 (~( theorem @ ( implies @ ( implies @ ( not @ p ) @ q ) @ ( or @ p @ q ) ) )),
% 133.46/19.77 inference('cnf.neg', [status(esa)], [prove_this])).
% 133.46/19.77 thf(zip_derived_cl8, plain,
% 133.46/19.77 (~ (theorem @ (implies @ (implies @ (not @ p) @ q) @ (or @ p @ q)))),
% 133.46/19.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 133.46/19.77 thf(implies_definition, axiom,
% 133.46/19.77 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 133.46/19.77 thf(zip_derived_cl0, plain,
% 133.46/19.77 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 133.46/19.77 inference('cnf', [status(esa)], [axiom_1_2])).
% 133.46/19.77 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 133.46/19.77 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_1])).
% 133.46/19.77 thf(zip_derived_cl31, plain,
% 133.46/19.77 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl0, zip_derived_cl6])).
% 133.46/19.77 thf(axiom_1_6, axiom,
% 133.46/19.77 (axiom @
% 133.46/19.77 ( implies @
% 133.46/19.77 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 133.46/19.77 thf(zip_derived_cl4, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (axiom @
% 133.46/19.77 (implies @ (implies @ X0 @ X1) @
% 133.46/19.77 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 133.46/19.77 inference('cnf', [status(esa)], [axiom_1_6])).
% 133.46/19.77 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_1])).
% 133.46/19.77 thf(zip_derived_cl35, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (theorem @
% 133.46/19.77 (implies @ (implies @ X2 @ X0) @
% 133.46/19.77 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl4, zip_derived_cl6])).
% 133.46/19.77 thf(rule_2, axiom,
% 133.46/19.77 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 133.46/19.77 ( ~( theorem @ Y ) ))).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl57, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ X0))
% 133.46/19.77 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl244, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ X0))
% 133.46/19.77 | ~ (theorem @ (or @ X1 @ X2))
% 133.46/19.77 | (theorem @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl266, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ (or @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl244])).
% 133.46/19.77 thf(zip_derived_cl283, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 133.46/19.77 | (theorem @ (or @ (not @ X1) @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl266])).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(zip_derived_cl285, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 133.46/19.77 | (theorem @ (implies @ X1 @ X0)))),
% 133.46/19.77 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl5])).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 133.46/19.77 thf(zip_derived_cl1, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('cnf', [status(esa)], [axiom_1_3])).
% 133.46/19.77 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_1])).
% 133.46/19.77 thf(zip_derived_cl32, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl1, zip_derived_cl6])).
% 133.46/19.77 thf(zip_derived_cl42, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 133.46/19.77 thf(zip_derived_cl42, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(axiom_1_5, axiom,
% 133.46/19.77 (axiom @
% 133.46/19.77 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 133.46/19.77 thf(zip_derived_cl3, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (axiom @
% 133.46/19.77 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 133.46/19.77 inference('cnf', [status(esa)], [axiom_1_5])).
% 133.46/19.77 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_1])).
% 133.46/19.77 thf(zip_derived_cl34, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (theorem @
% 133.46/19.77 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl3, zip_derived_cl6])).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl47, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 133.46/19.77 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl124, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 133.46/19.77 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl47])).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(zip_derived_cl127, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 133.46/19.77 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 133.46/19.77 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl5])).
% 133.46/19.77 thf(zip_derived_cl184, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 133.46/19.77 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl127])).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(zip_derived_cl185, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 133.46/19.77 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 133.46/19.77 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl5])).
% 133.46/19.77 thf(zip_derived_cl192, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl185])).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl199, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl204, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl199])).
% 133.46/19.77 thf(zip_derived_cl185, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 133.46/19.77 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 133.46/19.77 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl5])).
% 133.46/19.77 thf(zip_derived_cl229, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl185])).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl237, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ X1) | (theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl229, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl300, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ (implies @ (implies @ X1 @ (or @ X0 @ X0)) @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl237])).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl1997, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ X1)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 133.46/19.77 | (theorem @ X0))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl57, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ X0))
% 133.46/19.77 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl2033, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (or @ X0 @ X1))
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0)))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl1997, zip_derived_cl57])).
% 133.46/19.77 thf(zip_derived_cl204, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl199])).
% 133.46/19.77 thf(zip_derived_cl32, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl1, zip_derived_cl6])).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl40, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl192, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl185])).
% 133.46/19.77 thf(zip_derived_cl244, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ X0))
% 133.46/19.77 | ~ (theorem @ (or @ X1 @ X2))
% 133.46/19.77 | (theorem @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl255, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 ( (theorem @ (or @ X2 @ (implies @ X0 @ X0)))
% 133.46/19.77 | ~ (theorem @ (or @ X2 @ X1)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl244])).
% 133.46/19.77 thf(zip_derived_cl546, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ X0) | (theorem @ (or @ X1 @ (implies @ X2 @ X2))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl255])).
% 133.46/19.77 thf(zip_derived_cl564, plain,
% 133.46/19.77 (![X1 : $i, X2 : $i]: (theorem @ (or @ X2 @ (implies @ X1 @ X1)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl546])).
% 133.46/19.77 thf(zip_derived_cl2109, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ (implies @ X0 @ X0) @ X1)) | (theorem @ X1))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl2033, zip_derived_cl564])).
% 133.46/19.77 thf(zip_derived_cl5, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [implies_definition])).
% 133.46/19.77 thf(axiom_1_4, axiom,
% 133.46/19.77 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 133.46/19.77 thf(zip_derived_cl2, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('cnf', [status(esa)], [axiom_1_4])).
% 133.46/19.77 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_1])).
% 133.46/19.77 thf(zip_derived_cl33, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl2, zip_derived_cl6])).
% 133.46/19.77 thf(zip_derived_cl46, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (theorem @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 133.46/19.77 thf(zip_derived_cl2190, plain,
% 133.46/19.77 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl2109, zip_derived_cl46])).
% 133.46/19.77 thf(zip_derived_cl40, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl47, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 133.46/19.77 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl121, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X1 @ X0))
% 133.46/19.77 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl47])).
% 133.46/19.77 thf(zip_derived_cl33, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl2, zip_derived_cl6])).
% 133.46/19.77 thf(zip_derived_cl7, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0))
% 133.46/19.77 | ~ (theorem @ X1))),
% 133.46/19.77 inference('cnf', [status(esa)], [rule_2])).
% 133.46/19.77 thf(zip_derived_cl43, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl412, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X2 @ X0))
% 133.46/19.77 | (theorem @ (or @ (or @ X1 @ X0) @ X2)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl43])).
% 133.46/19.77 thf(zip_derived_cl2275, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (or @ (or @ X1 @ (not @ X0)) @ X0))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl2190, zip_derived_cl412])).
% 133.46/19.77 thf(zip_derived_cl43, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl2891, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (or @ X1 @ (not @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl2275, zip_derived_cl43])).
% 133.46/19.77 thf(zip_derived_cl47, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 133.46/19.77 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 133.46/19.77 thf(zip_derived_cl2962, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (or @ X0 @ (not @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl2891, zip_derived_cl47])).
% 133.46/19.77 thf(zip_derived_cl2033, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 ( (theorem @ X0)
% 133.46/19.77 | ~ (theorem @ (or @ X0 @ X1))
% 133.46/19.77 | ~ (theorem @ (implies @ X1 @ X0)))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl1997, zip_derived_cl57])).
% 133.46/19.77 thf(zip_derived_cl3679, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ (or @ X0 @ (not @ X0)) @ X1))
% 133.46/19.77 | (theorem @ X1))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl2962, zip_derived_cl2033])).
% 133.46/19.77 thf(zip_derived_cl35, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (theorem @
% 133.46/19.77 (implies @ (implies @ X2 @ X0) @
% 133.46/19.77 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('dp-resolution', [status(thm)],
% 133.46/19.77 [zip_derived_cl4, zip_derived_cl6])).
% 133.46/19.77 thf(zip_derived_cl185, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 133.46/19.77 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 133.46/19.77 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl5])).
% 133.46/19.77 thf(zip_derived_cl194, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 133.46/19.77 (theorem @
% 133.46/19.77 (implies @ (or @ X1 @ X2) @
% 133.46/19.77 (implies @ (implies @ X2 @ X0) @ (or @ X1 @ X0))))),
% 133.46/19.77 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl185])).
% 133.46/19.77 thf(zip_derived_cl3737, plain,
% 133.46/19.77 (![X0 : $i, X1 : $i]:
% 133.46/19.77 (theorem @ (implies @ (implies @ (not @ X1) @ X0) @ (or @ X1 @ X0)))),
% 133.46/19.77 inference('sup+', [status(thm)], [zip_derived_cl3679, zip_derived_cl194])).
% 133.46/19.77 thf(zip_derived_cl109259, plain, ($false),
% 133.46/19.77 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl3737])).
% 133.46/19.77
% 133.46/19.77 % SZS output end Refutation
% 133.46/19.77
% 133.46/19.77
% 133.46/19.77 % Terminating...
% 133.46/19.79 % Runner terminated.
% 20.36/19.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------