%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL236-3 : 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.CATZGqDiZI true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:33 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.82s
% Output : Refutation 0.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL236-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CATZGqDiZI true
% 0.11/0.40 % Computer : n020.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sat Sep 5 10:25:27 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 % Running portfolio for 300 s
% 0.11/0.40 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.40 % Number of cores: 8
% 0.11/0.41 % Python version: Python 3.12.3
% 0.11/0.41 % Running in FO mode
% 0.28/0.70 % Total configuration time : 435
% 0.28/0.70 % Estimated wc time : 1092
% 0.28/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.28/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.28/0.82 % Solved by fo/fo6_bce.sh.
% 0.28/0.82 % BCE start: 10
% 0.28/0.82 % BCE eliminated: 0
% 0.28/0.82 % PE start: 10
% 0.28/0.82 logic: eq
% 0.28/0.82 % PE eliminated: 1
% 0.28/0.82 % done 56 iterations in 0.033s
% 0.28/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.28/0.82 % SZS output start Refutation
% 0.28/0.82 thf(p_type, type, p: $i).
% 0.28/0.82 thf(axiom_type, type, axiom: $i > $o).
% 0.28/0.82 thf(implies_type, type, implies: $i > $i > $i).
% 0.28/0.82 thf(q_type, type, q: $i).
% 0.28/0.82 thf(or_type, type, or: $i > $i > $i).
% 0.28/0.82 thf(and_type, type, and: $i > $i > $i).
% 0.28/0.82 thf(theorem_type, type, theorem: $i > $o).
% 0.28/0.82 thf(not_type, type, not: $i > $i).
% 0.28/0.82 thf(and_defn, axiom,
% 0.28/0.82 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 0.28/0.82 thf(zip_derived_cl8, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 0.28/0.82 inference('cnf', [status(esa)], [and_defn])).
% 0.28/0.82 thf(implies_definition, axiom,
% 0.28/0.82 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 0.28/0.82 thf(zip_derived_cl5, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.28/0.82 thf(zip_derived_cl38, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 0.28/0.82 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.28/0.82 thf(zip_derived_cl5, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.28/0.82 thf(zip_derived_cl5, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.28/0.82 thf(axiom_1_4, axiom,
% 0.28/0.82 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 0.28/0.82 thf(zip_derived_cl2, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.28/0.82 inference('cnf', [status(esa)], [axiom_1_4])).
% 0.28/0.82 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 0.28/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.28/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.28/0.82 thf(zip_derived_cl34, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.28/0.82 inference('dp-resolution', [status(thm)],
% 0.28/0.82 [zip_derived_cl2, zip_derived_cl6])).
% 0.28/0.82 thf(zip_derived_cl49, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.28/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 0.28/0.82 thf(rule_2, axiom,
% 0.28/0.82 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 0.28/0.82 ( ~( theorem @ Y ) ))).
% 0.28/0.82 thf(zip_derived_cl7, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ X0)
% 0.28/0.82 | ~ (theorem @ (implies @ X1 @ X0))
% 0.28/0.82 | ~ (theorem @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [rule_2])).
% 0.28/0.82 thf(zip_derived_cl51, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ (implies @ X1 @ X0))
% 0.28/0.82 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl7])).
% 0.28/0.82 thf(zip_derived_cl116, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ (implies @ X0 @ (not @ X1)))
% 0.28/0.82 | ~ (theorem @ (implies @ X1 @ (not @ X0))))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl51])).
% 0.28/0.82 thf(zip_derived_cl126, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.28/0.82 ( (theorem @ (implies @ (implies @ X1 @ (not @ X0)) @ (not @ X2)))
% 0.28/0.82 | ~ (theorem @ (implies @ X2 @ (and @ X1 @ X0))))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl116])).
% 0.28/0.82 thf(prove_this, conjecture,
% 0.28/0.82 (theorem @
% 0.28/0.82 ( implies @ ( or @ ( not @ p ) @ ( not @ q ) ) @ ( not @ ( and @ p @ q ) ) ))).
% 0.28/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.28/0.82 (~( theorem @
% 0.28/0.82 ( implies @
% 0.28/0.82 ( or @ ( not @ p ) @ ( not @ q ) ) @ ( not @ ( and @ p @ q ) ) ) )),
% 0.28/0.82 inference('cnf.neg', [status(esa)], [prove_this])).
% 0.28/0.82 thf(zip_derived_cl9, plain,
% 0.28/0.82 (~ (theorem @
% 0.28/0.82 (implies @ (or @ (not @ p) @ (not @ q)) @ (not @ (and @ p @ q))))),
% 0.28/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.28/0.82 thf(zip_derived_cl5, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.28/0.82 thf(zip_derived_cl37, plain,
% 0.28/0.82 (~ (theorem @
% 0.28/0.82 (implies @ (implies @ p @ (not @ q)) @ (not @ (and @ p @ q))))),
% 0.28/0.82 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.28/0.82 thf(zip_derived_cl169, plain,
% 0.28/0.82 (~ (theorem @ (implies @ (and @ p @ q) @ (and @ p @ q)))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl37])).
% 0.28/0.82 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 0.28/0.82 thf(zip_derived_cl1, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.28/0.82 inference('cnf', [status(esa)], [axiom_1_3])).
% 0.28/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.28/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.28/0.82 thf(zip_derived_cl33, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.28/0.82 inference('dp-resolution', [status(thm)],
% 0.28/0.82 [zip_derived_cl1, zip_derived_cl6])).
% 0.28/0.82 thf(zip_derived_cl5, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.28/0.82 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 0.28/0.82 thf(zip_derived_cl0, plain,
% 0.28/0.82 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 0.28/0.82 inference('cnf', [status(esa)], [axiom_1_2])).
% 0.28/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.28/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.28/0.82 thf(zip_derived_cl32, plain,
% 0.28/0.82 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 0.28/0.82 inference('dp-resolution', [status(thm)],
% 0.28/0.82 [zip_derived_cl0, zip_derived_cl6])).
% 0.28/0.82 thf(axiom_1_6, axiom,
% 0.28/0.82 (axiom @
% 0.28/0.82 ( implies @
% 0.28/0.82 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 0.28/0.82 thf(zip_derived_cl4, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.28/0.82 (axiom @
% 0.28/0.82 (implies @ (implies @ X0 @ X1) @
% 0.28/0.82 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 0.28/0.82 inference('cnf', [status(esa)], [axiom_1_6])).
% 0.28/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.28/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.28/0.82 thf(zip_derived_cl36, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.28/0.82 (theorem @
% 0.28/0.82 (implies @ (implies @ X2 @ X0) @
% 0.28/0.82 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 0.28/0.82 inference('dp-resolution', [status(thm)],
% 0.28/0.82 [zip_derived_cl4, zip_derived_cl6])).
% 0.28/0.82 thf(zip_derived_cl7, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ X0)
% 0.28/0.82 | ~ (theorem @ (implies @ X1 @ X0))
% 0.28/0.82 | ~ (theorem @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [rule_2])).
% 0.28/0.82 thf(zip_derived_cl72, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.28/0.82 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 0.28/0.82 | ~ (theorem @ (implies @ X2 @ X0)))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 0.28/0.82 thf(zip_derived_cl7, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ X0)
% 0.28/0.82 | ~ (theorem @ (implies @ X1 @ X0))
% 0.28/0.82 | ~ (theorem @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [rule_2])).
% 0.28/0.82 thf(zip_derived_cl80, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.28/0.82 (~ (theorem @ (implies @ X2 @ X0))
% 0.28/0.82 | (theorem @ (or @ X1 @ X0))
% 0.28/0.82 | ~ (theorem @ (or @ X1 @ X2)))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl7])).
% 0.28/0.82 thf(zip_derived_cl156, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ (or @ X1 @ X0))
% 0.28/0.82 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl80])).
% 0.28/0.82 thf(zip_derived_cl178, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ (or @ (not @ X1) @ X0))
% 0.28/0.82 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl156])).
% 0.28/0.82 thf(zip_derived_cl5, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.28/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.28/0.82 thf(zip_derived_cl182, plain,
% 0.28/0.82 (![X0 : $i, X1 : $i]:
% 0.28/0.82 ( (theorem @ (implies @ X1 @ X0))
% 0.28/0.82 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 0.28/0.82 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl5])).
% 0.28/0.82 thf(zip_derived_cl199, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 0.28/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl182])).
% 0.28/0.82 thf(zip_derived_cl207, plain, ($false),
% 0.28/0.82 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl199])).
% 0.28/0.82
% 0.28/0.82 % SZS output end Refutation
% 0.28/0.82
% 0.28/0.82
% 0.28/0.82 % Terminating...
% 0.28/0.88 % Runner terminated.
% 1.50/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------