%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL322-3 : 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.VQloaYBGh8 true
% Computer : n012.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 01:35:42 PM UTC 2026
% Result : Unsatisfiable 6.11s 1.30s
% Output : Refutation 6.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL322-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VQloaYBGh8 true
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Fri Sep 4 17:42:57 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Running portfolio for 300 s
% 0.02/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.30 % Number of cores: 8
% 0.02/0.30 % Python version: Python 3.12.3
% 0.02/0.30 % Running in FO mode
% 0.22/0.44 % Total configuration time : 435
% 0.22/0.44 % Estimated wc time : 1092
% 0.22/0.44 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.11/1.30 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.11/1.30 % Solved by fo/fo3_bce.sh.
% 6.11/1.30 % BCE start: 9
% 6.11/1.30 % BCE eliminated: 0
% 6.11/1.30 % PE start: 9
% 6.11/1.30 logic: eq
% 6.11/1.30 % PE eliminated: 1
% 6.11/1.30 % done 1706 iterations in 0.767s
% 6.11/1.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.11/1.30 % SZS output start Refutation
% 6.11/1.30 thf(axiom_type, type, axiom: $i > $o).
% 6.11/1.30 thf(implies_type, type, implies: $i > $i > $i).
% 6.11/1.30 thf(p_type, type, p: $i).
% 6.11/1.30 thf(or_type, type, or: $i > $i > $i).
% 6.11/1.30 thf(q_type, type, q: $i).
% 6.11/1.30 thf(theorem_type, type, theorem: $i > $o).
% 6.11/1.30 thf(not_type, type, not: $i > $i).
% 6.11/1.30 thf(implies_definition, axiom,
% 6.11/1.30 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(axiom_1_5, axiom,
% 6.11/1.30 (axiom @
% 6.11/1.30 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 6.11/1.30 thf(zip_derived_cl3, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (axiom @
% 6.11/1.30 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 6.11/1.30 inference('cnf', [status(esa)], [axiom_1_5])).
% 6.11/1.30 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 6.11/1.30 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_1])).
% 6.11/1.30 thf(zip_derived_cl34, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (theorem @
% 6.11/1.30 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl3, zip_derived_cl6])).
% 6.11/1.30 thf(rule_2, axiom,
% 6.11/1.30 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 6.11/1.30 ( ~( theorem @ Y ) ))).
% 6.11/1.30 thf(zip_derived_cl7, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ X0)
% 6.11/1.30 | ~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_2])).
% 6.11/1.30 thf(zip_derived_cl47, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 6.11/1.30 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl124, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 6.11/1.30 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl47])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl127, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 6.11/1.30 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 6.11/1.30 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl5])).
% 6.11/1.30 thf(prove_this, conjecture,
% 6.11/1.30 (theorem @ ( or @ ( implies @ p @ q ) @ ( implies @ q @ p ) ))).
% 6.11/1.30 thf(zf_stmt_0, negated_conjecture,
% 6.11/1.30 (~( theorem @ ( or @ ( implies @ p @ q ) @ ( implies @ q @ p ) ) )),
% 6.11/1.30 inference('cnf.neg', [status(esa)], [prove_this])).
% 6.11/1.30 thf(zip_derived_cl8, plain,
% 6.11/1.30 (~ (theorem @ (or @ (implies @ p @ q) @ (implies @ q @ p)))),
% 6.11/1.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.11/1.30 thf(zip_derived_cl498, plain,
% 6.11/1.30 (~ (theorem @ (implies @ q @ (or @ (implies @ p @ q) @ p)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl8])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 6.11/1.30 thf(zip_derived_cl1, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('cnf', [status(esa)], [axiom_1_3])).
% 6.11/1.30 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_1])).
% 6.11/1.30 thf(zip_derived_cl32, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl1, zip_derived_cl6])).
% 6.11/1.30 thf(zip_derived_cl7, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ X0)
% 6.11/1.30 | ~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_2])).
% 6.11/1.30 thf(zip_derived_cl40, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl70, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ (implies @ X1 @ X0)) | ~ (theorem @ X0))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl40])).
% 6.11/1.30 thf(zip_derived_cl504, plain, (~ (theorem @ (or @ (implies @ p @ q) @ p))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl498, zip_derived_cl70])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(axiom_1_4, axiom,
% 6.11/1.30 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 6.11/1.30 thf(zip_derived_cl2, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('cnf', [status(esa)], [axiom_1_4])).
% 6.11/1.30 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_1])).
% 6.11/1.30 thf(zip_derived_cl33, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl2, zip_derived_cl6])).
% 6.11/1.30 thf(zip_derived_cl46, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (theorem @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl33, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl2, zip_derived_cl6])).
% 6.11/1.30 thf(zip_derived_cl7, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ X0)
% 6.11/1.30 | ~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_2])).
% 6.11/1.30 thf(zip_derived_cl43, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl63, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | (theorem @ (or @ X0 @ (not @ X1))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl43])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl32, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl1, zip_derived_cl6])).
% 6.11/1.30 thf(zip_derived_cl42, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 6.11/1.30 thf(zip_derived_cl42, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl47, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 6.11/1.30 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl125, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 6.11/1.30 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl47])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl128, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 6.11/1.30 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 6.11/1.30 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl5])).
% 6.11/1.30 thf(zip_derived_cl162, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 6.11/1.30 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl128])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl163, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 6.11/1.30 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 6.11/1.30 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl5])).
% 6.11/1.30 thf(zip_derived_cl194, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl163])).
% 6.11/1.30 thf(zip_derived_cl7, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ X0)
% 6.11/1.30 | ~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_2])).
% 6.11/1.30 thf(zip_derived_cl200, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl205, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl200])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl5, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [implies_definition])).
% 6.11/1.30 thf(zip_derived_cl33, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl2, zip_derived_cl6])).
% 6.11/1.30 thf(zip_derived_cl45, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 6.11/1.30 thf(zip_derived_cl7, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ X0)
% 6.11/1.30 | ~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_2])).
% 6.11/1.30 thf(zip_derived_cl98, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 6.11/1.30 | (theorem @ (implies @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl105, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 6.11/1.30 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl98])).
% 6.11/1.30 thf(zip_derived_cl230, plain,
% 6.11/1.30 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl205, zip_derived_cl105])).
% 6.11/1.30 thf(axiom_1_6, axiom,
% 6.11/1.30 (axiom @
% 6.11/1.30 ( implies @
% 6.11/1.30 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 6.11/1.30 thf(zip_derived_cl4, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (axiom @
% 6.11/1.30 (implies @ (implies @ X0 @ X1) @
% 6.11/1.30 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 6.11/1.30 inference('cnf', [status(esa)], [axiom_1_6])).
% 6.11/1.30 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_1])).
% 6.11/1.30 thf(zip_derived_cl35, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (theorem @
% 6.11/1.30 (implies @ (implies @ X2 @ X0) @
% 6.11/1.30 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl4, zip_derived_cl6])).
% 6.11/1.30 thf(zip_derived_cl7, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ X0)
% 6.11/1.30 | ~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_2])).
% 6.11/1.30 thf(zip_derived_cl57, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ X0))
% 6.11/1.30 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl7, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ X0)
% 6.11/1.30 | ~ (theorem @ (implies @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ X1))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_2])).
% 6.11/1.30 thf(zip_derived_cl248, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ X0))
% 6.11/1.30 | ~ (theorem @ (or @ X1 @ X2))
% 6.11/1.30 | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl264, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 6.11/1.30 | ~ (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl248])).
% 6.11/1.30 thf(zip_derived_cl98, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 6.11/1.30 | (theorem @ (implies @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl1528, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X1 @ X0))
% 6.11/1.30 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl264, zip_derived_cl98])).
% 6.11/1.30 thf(zip_derived_cl205, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl200])).
% 6.11/1.30 thf(zip_derived_cl40, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl194, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl163])).
% 6.11/1.30 thf(zip_derived_cl248, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ X0))
% 6.11/1.30 | ~ (theorem @ (or @ X1 @ X2))
% 6.11/1.30 | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl259, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 ( (theorem @ (or @ X2 @ (implies @ X0 @ X0)))
% 6.11/1.30 | ~ (theorem @ (or @ X2 @ X1)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl248])).
% 6.11/1.30 thf(zip_derived_cl390, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ X0) | (theorem @ (or @ X1 @ (implies @ X2 @ X2))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl259])).
% 6.11/1.30 thf(zip_derived_cl402, plain,
% 6.11/1.30 (![X1 : $i, X2 : $i]: (theorem @ (or @ X2 @ (implies @ X1 @ X1)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl205, zip_derived_cl390])).
% 6.11/1.30 thf(zip_derived_cl1555, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (theorem @ (implies @ (not @ (implies @ X0 @ X0)) @ X1))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl1528, zip_derived_cl402])).
% 6.11/1.30 thf(zip_derived_cl248, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ X0))
% 6.11/1.30 | ~ (theorem @ (or @ X1 @ X2))
% 6.11/1.30 | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl1779, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 ( (theorem @ (or @ X2 @ X0))
% 6.11/1.30 | ~ (theorem @ (or @ X2 @ (not @ (implies @ X1 @ X1)))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl1555, zip_derived_cl248])).
% 6.11/1.30 thf(zip_derived_cl2002, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ (implies @ X0 @ X0) @ X1))
% 6.11/1.30 | (theorem @ (or @ X1 @ X2)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl1779])).
% 6.11/1.30 thf(zip_derived_cl2043, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (or @ (or @ X0 @ (not @ X0)) @ X1))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl2002])).
% 6.11/1.30 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 6.11/1.30 thf(zip_derived_cl0, plain,
% 6.11/1.30 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 6.11/1.30 inference('cnf', [status(esa)], [axiom_1_2])).
% 6.11/1.30 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 6.11/1.30 inference('cnf', [status(esa)], [rule_1])).
% 6.11/1.30 thf(zip_derived_cl31, plain,
% 6.11/1.30 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 6.11/1.30 inference('dp-resolution', [status(thm)],
% 6.11/1.30 [zip_derived_cl0, zip_derived_cl6])).
% 6.11/1.30 thf(zip_derived_cl248, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ X0))
% 6.11/1.30 | ~ (theorem @ (or @ X1 @ X2))
% 6.11/1.30 | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl270, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ (or @ X1 @ X0))
% 6.11/1.30 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl248])).
% 6.11/1.30 thf(zip_derived_cl40, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl277, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X0)))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl40])).
% 6.11/1.30 thf(zip_derived_cl2086, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (or @ X0 @ (not @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl2043, zip_derived_cl277])).
% 6.11/1.30 thf(zip_derived_cl47, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 6.11/1.30 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl2733, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (or @ X1 @ (not @ X0))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl2086, zip_derived_cl47])).
% 6.11/1.30 thf(zip_derived_cl45, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 6.11/1.30 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 6.11/1.30 thf(zip_derived_cl248, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 (~ (theorem @ (implies @ X2 @ X0))
% 6.11/1.30 | ~ (theorem @ (or @ X1 @ X2))
% 6.11/1.30 | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl271, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.30 ( (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 6.11/1.30 | ~ (theorem @ (or @ X2 @ (or @ X0 @ (not @ X1)))))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl248])).
% 6.11/1.30 thf(zip_derived_cl4939, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (implies @ X0 @ X1)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl2733, zip_derived_cl271])).
% 6.11/1.30 thf(zip_derived_cl43, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]:
% 6.11/1.30 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 6.11/1.30 thf(zip_derived_cl4950, plain,
% 6.11/1.30 (![X0 : $i, X1 : $i]: (theorem @ (or @ (implies @ X1 @ X0) @ X1))),
% 6.11/1.30 inference('sup-', [status(thm)], [zip_derived_cl4939, zip_derived_cl43])).
% 6.11/1.30 thf(zip_derived_cl5173, plain, ($false),
% 6.11/1.30 inference('demod', [status(thm)], [zip_derived_cl504, zip_derived_cl4950])).
% 6.11/1.30
% 6.11/1.30 % SZS output end Refutation
% 6.11/1.30
% 6.11/1.30
% 6.11/1.30 % Terminating...
% 6.11/1.35 % Runner terminated.
% 6.11/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------