%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL180-3 : 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.6eA30kvE0G true
% Computer : n011.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 01:35:21 PM UTC 2026
% Result : Unsatisfiable 3.72s 1.17s
% Output : Refutation 3.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL180-3 : 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.6eA30kvE0G true
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 09:27:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/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
% 0.46/0.66 % Total configuration time : 435
% 0.46/0.66 % Estimated wc time : 1092
% 0.46/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.72/1.17 % Solved by fo/fo6_bce.sh.
% 3.72/1.17 % BCE start: 9
% 3.72/1.17 % BCE eliminated: 0
% 3.72/1.17 % PE start: 9
% 3.72/1.17 logic: eq
% 3.72/1.17 % PE eliminated: 1
% 3.72/1.17 % done 454 iterations in 0.419s
% 3.72/1.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.72/1.17 % SZS output start Refutation
% 3.72/1.17 thf(axiom_type, type, axiom: $i > $o).
% 3.72/1.17 thf(implies_type, type, implies: $i > $i > $i).
% 3.72/1.17 thf(p_type, type, p: $i).
% 3.72/1.17 thf(or_type, type, or: $i > $i > $i).
% 3.72/1.17 thf(theorem_type, type, theorem: $i > $o).
% 3.72/1.17 thf(not_type, type, not: $i > $i).
% 3.72/1.17 thf(implies_definition, axiom,
% 3.72/1.17 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 3.72/1.17 thf(zip_derived_cl5, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.72/1.17 thf(axiom_1_4, axiom,
% 3.72/1.17 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 3.72/1.17 thf(zip_derived_cl2, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 3.72/1.17 inference('cnf', [status(esa)], [axiom_1_4])).
% 3.72/1.17 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 3.72/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.72/1.17 thf(zip_derived_cl33, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 3.72/1.17 inference('dp-resolution', [status(thm)],
% 3.72/1.17 [zip_derived_cl2, zip_derived_cl6])).
% 3.72/1.17 thf(rule_2, axiom,
% 3.72/1.17 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 3.72/1.17 ( ~( theorem @ Y ) ))).
% 3.72/1.17 thf(zip_derived_cl7, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ X0)
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_2])).
% 3.72/1.17 thf(zip_derived_cl46, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 3.72/1.17 thf(zip_derived_cl52, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ (or @ X0 @ (not @ X1)))
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X0)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl46])).
% 3.72/1.17 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 3.72/1.17 thf(zip_derived_cl1, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 3.72/1.17 inference('cnf', [status(esa)], [axiom_1_3])).
% 3.72/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.72/1.17 thf(zip_derived_cl32, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 3.72/1.17 inference('dp-resolution', [status(thm)],
% 3.72/1.17 [zip_derived_cl1, zip_derived_cl6])).
% 3.72/1.17 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 3.72/1.17 thf(zip_derived_cl0, plain,
% 3.72/1.17 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 3.72/1.17 inference('cnf', [status(esa)], [axiom_1_2])).
% 3.72/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.72/1.17 thf(zip_derived_cl31, plain,
% 3.72/1.17 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 3.72/1.17 inference('dp-resolution', [status(thm)],
% 3.72/1.17 [zip_derived_cl0, zip_derived_cl6])).
% 3.72/1.17 thf(zip_derived_cl5, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.72/1.17 thf(axiom_1_6, axiom,
% 3.72/1.17 (axiom @
% 3.72/1.17 ( implies @
% 3.72/1.17 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 3.72/1.17 thf(zip_derived_cl4, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 (axiom @
% 3.72/1.17 (implies @ (implies @ X0 @ X1) @
% 3.72/1.17 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 3.72/1.17 inference('cnf', [status(esa)], [axiom_1_6])).
% 3.72/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.72/1.17 thf(zip_derived_cl35, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 (theorem @
% 3.72/1.17 (implies @ (implies @ X2 @ X0) @
% 3.72/1.17 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 3.72/1.17 inference('dp-resolution', [status(thm)],
% 3.72/1.17 [zip_derived_cl4, zip_derived_cl6])).
% 3.72/1.17 thf(zip_derived_cl7, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ X0)
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_2])).
% 3.72/1.17 thf(zip_derived_cl70, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 3.72/1.17 | ~ (theorem @ (implies @ X2 @ X0)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 3.72/1.17 thf(zip_derived_cl99, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 ( (theorem @ (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0)))
% 3.72/1.17 | ~ (theorem @ (implies @ X2 @ X0)))),
% 3.72/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl70])).
% 3.72/1.17 thf(zip_derived_cl5, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.72/1.17 thf(zip_derived_cl101, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 3.72/1.17 | ~ (theorem @ (implies @ X2 @ X0)))),
% 3.72/1.17 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl5])).
% 3.72/1.17 thf(zip_derived_cl7, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ X0)
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_2])).
% 3.72/1.17 thf(zip_derived_cl150, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 (~ (theorem @ (implies @ X2 @ X0))
% 3.72/1.17 | (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X2)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl7])).
% 3.72/1.17 thf(zip_derived_cl176, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl150])).
% 3.72/1.17 thf(zip_derived_cl185, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl176])).
% 3.72/1.17 thf(zip_derived_cl5, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.72/1.17 thf(zip_derived_cl52, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ (or @ X0 @ (not @ X1)))
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X0)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl46])).
% 3.72/1.17 thf(zip_derived_cl68, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ (implies @ X1 @ (not @ X0)))
% 3.72/1.17 | ~ (theorem @ (implies @ X0 @ (not @ X1))))),
% 3.72/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl52])).
% 3.72/1.17 thf(zip_derived_cl199, plain,
% 3.72/1.17 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl68])).
% 3.72/1.17 thf(zip_derived_cl70, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 3.72/1.17 | ~ (theorem @ (implies @ X2 @ X0)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 3.72/1.17 thf(zip_derived_cl7, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ X0)
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_2])).
% 3.72/1.17 thf(zip_derived_cl98, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.72/1.17 (~ (theorem @ (implies @ X2 @ X0))
% 3.72/1.17 | (theorem @ (or @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ (or @ X1 @ X2)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl7])).
% 3.72/1.17 thf(zip_derived_cl204, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 3.72/1.17 | ~ (theorem @ (or @ X1 @ X0)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl98])).
% 3.72/1.17 thf(zip_derived_cl5, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.72/1.17 thf(zip_derived_cl33, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 3.72/1.17 inference('dp-resolution', [status(thm)],
% 3.72/1.17 [zip_derived_cl2, zip_derived_cl6])).
% 3.72/1.17 thf(zip_derived_cl47, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 3.72/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 3.72/1.17 thf(zip_derived_cl7, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ X0)
% 3.72/1.17 | ~ (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ X1))),
% 3.72/1.17 inference('cnf', [status(esa)], [rule_2])).
% 3.72/1.17 thf(zip_derived_cl82, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 ( (theorem @ (implies @ X1 @ X0))
% 3.72/1.17 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl7])).
% 3.72/1.17 thf(zip_derived_cl248, plain,
% 3.72/1.17 (![X0 : $i, X1 : $i]:
% 3.72/1.17 (~ (theorem @ (or @ X1 @ X0))
% 3.72/1.17 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl82])).
% 3.72/1.17 thf(prove_this, conjecture,
% 3.72/1.17 (theorem @ ( implies @ ( not @ ( not @ p ) ) @ p ))).
% 3.72/1.17 thf(zf_stmt_0, negated_conjecture,
% 3.72/1.17 (~( theorem @ ( implies @ ( not @ ( not @ p ) ) @ p ) )),
% 3.72/1.17 inference('cnf.neg', [status(esa)], [prove_this])).
% 3.72/1.17 thf(zip_derived_cl8, plain,
% 3.72/1.17 (~ (theorem @ (implies @ (not @ (not @ p)) @ p))),
% 3.72/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.72/1.17 thf(zip_derived_cl2483, plain, (~ (theorem @ (or @ p @ (not @ p)))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl8])).
% 3.72/1.17 thf(zip_derived_cl2499, plain, (~ (theorem @ (implies @ p @ p))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl2483])).
% 3.72/1.17 thf(zip_derived_cl185, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 3.72/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl176])).
% 3.72/1.17 thf(zip_derived_cl2500, plain, ($false),
% 3.72/1.17 inference('demod', [status(thm)], [zip_derived_cl2499, zip_derived_cl185])).
% 3.72/1.17
% 3.72/1.17 % SZS output end Refutation
% 3.72/1.17
% 3.72/1.17
% 3.72/1.17 % Terminating...
% 1.91/1.22 % Runner terminated.
% 1.91/1.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------