%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL022-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0kJTTOHA66 true
% Computer : n027.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 01:35:02 PM UTC 2026
% Result : Unsatisfiable 0.47s 0.80s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL022-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0kJTTOHA66 true
% 0.08/0.36 % Computer : n027.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 4 23:33:42 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Running portfolio for 300 s
% 0.08/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Number of cores: 8
% 0.08/0.37 % Python version: Python 3.12.3
% 0.08/0.38 % Running in FO mode
% 0.42/0.66 % Total configuration time : 435
% 0.42/0.66 % Estimated wc time : 1092
% 0.42/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.80 % Solved by fo/fo6_bce.sh.
% 0.47/0.80 % BCE start: 3
% 0.47/0.80 % BCE eliminated: 0
% 0.47/0.80 % PE start: 3
% 0.47/0.80 logic: neq
% 0.47/0.80 % PE eliminated: 0
% 0.47/0.80 % done 22 iterations in 0.037s
% 0.47/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.80 % SZS output start Refutation
% 0.47/0.80 thf(a_type, type, a: $i).
% 0.47/0.80 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.47/0.80 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 0.47/0.80 thf(c_type, type, c: $i).
% 0.47/0.80 thf(b_type, type, b: $i).
% 0.47/0.80 thf(yql, axiom,
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 ( equivalent @
% 0.47/0.80 ( equivalent @ X @ Y ) @
% 0.47/0.80 ( equivalent @ ( equivalent @ Z @ Y ) @ ( equivalent @ X @ Z ) ) ))).
% 0.47/0.80 thf(zip_derived_cl1, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X0 @ X1) @
% 0.47/0.80 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 0.47/0.80 inference('cnf', [status(esa)], [yql])).
% 0.47/0.80 thf(condensed_detachment, axiom,
% 0.47/0.80 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 0.47/0.80 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 0.47/0.80 thf(zip_derived_cl0, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.47/0.80 | ~ (is_a_theorem @ X0)
% 0.47/0.80 | (is_a_theorem @ X1))),
% 0.47/0.80 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.47/0.80 thf(zip_derived_cl3, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 0.47/0.80 | (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.47/0.80 thf(zip_derived_cl1, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X0 @ X1) @
% 0.47/0.80 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 0.47/0.80 inference('cnf', [status(esa)], [yql])).
% 0.47/0.80 thf(zip_derived_cl1, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X0 @ X1) @
% 0.47/0.80 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 0.47/0.80 inference('cnf', [status(esa)], [yql])).
% 0.47/0.80 thf(zip_derived_cl3, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 0.47/0.80 | (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.47/0.80 thf(zip_derived_cl0, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.47/0.80 | ~ (is_a_theorem @ X0)
% 0.47/0.80 | (is_a_theorem @ X1))),
% 0.47/0.80 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.47/0.80 thf(zip_derived_cl4, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 0.47/0.80 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 0.47/0.80 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.80 thf(zip_derived_cl7, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i]:
% 0.47/0.80 ( (is_a_theorem @ (equivalent @ X1 @ X1))
% 0.47/0.80 | ~ (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.47/0.80 inference('eq_fact', [status(thm)], [zip_derived_cl4])).
% 0.47/0.80 thf(zip_derived_cl9, plain,
% 0.47/0.80 (![X1 : $i, X2 : $i]:
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X2)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 0.47/0.80 thf(zip_derived_cl4, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 0.47/0.80 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 0.47/0.80 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.80 thf(zip_derived_cl13, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))
% 0.47/0.80 | (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X2)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.47/0.80 thf(zip_derived_cl15, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 (equivalent @
% 0.47/0.80 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0)) @
% 0.47/0.80 (equivalent @ X1 @ X2)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 0.47/0.80 thf(zip_derived_cl4, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 0.47/0.80 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 0.47/0.80 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.47/0.80 thf(zip_derived_cl23, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X1 @ X0)))
% 0.47/0.80 | (is_a_theorem @
% 0.47/0.80 (equivalent @
% 0.47/0.80 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2)) @
% 0.47/0.80 X3)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 0.47/0.80 thf(prove_ec_1, conjecture,
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 ( equivalent @
% 0.47/0.80 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ c @ a ) ) @
% 0.47/0.80 ( equivalent @ b @ c ) ))).
% 0.47/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.80 (~( is_a_theorem @
% 0.47/0.80 ( equivalent @
% 0.47/0.80 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ c @ a ) ) @
% 0.47/0.80 ( equivalent @ b @ c ) ) )),
% 0.47/0.80 inference('cnf.neg', [status(esa)], [prove_ec_1])).
% 0.47/0.80 thf(zip_derived_cl2, plain,
% 0.47/0.80 (~ (is_a_theorem @
% 0.47/0.80 (equivalent @
% 0.47/0.80 (equivalent @ (equivalent @ a @ b) @ (equivalent @ c @ a)) @
% 0.47/0.80 (equivalent @ b @ c)))),
% 0.47/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.80 thf(zip_derived_cl70, plain,
% 0.47/0.80 (~ (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ b @ c) @ (equivalent @ c @ b)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl2])).
% 0.47/0.80 thf(zip_derived_cl73, plain, (~ (is_a_theorem @ (equivalent @ c @ c))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl70])).
% 0.47/0.80 thf(zip_derived_cl9, plain,
% 0.47/0.80 (![X1 : $i, X2 : $i]:
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X2)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 0.47/0.80 thf(zip_derived_cl15, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (is_a_theorem @
% 0.47/0.80 (equivalent @
% 0.47/0.80 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0)) @
% 0.47/0.80 (equivalent @ X1 @ X2)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 0.47/0.80 thf(zip_derived_cl0, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i]:
% 0.47/0.80 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.47/0.80 | ~ (is_a_theorem @ X0)
% 0.47/0.80 | (is_a_theorem @ X1))),
% 0.47/0.80 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.47/0.80 thf(zip_derived_cl22, plain,
% 0.47/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.80 (~ (is_a_theorem @
% 0.47/0.80 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2)))
% 0.47/0.80 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 0.47/0.80 thf(zip_derived_cl33, plain,
% 0.47/0.80 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 0.47/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl22])).
% 0.47/0.80 thf(zip_derived_cl74, plain, ($false),
% 0.47/0.80 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl33])).
% 0.47/0.80
% 0.47/0.80 % SZS output end Refutation
% 0.47/0.80
% 0.47/0.80
% 0.47/0.80 % Terminating...
% 0.47/0.86 % Runner terminated.
% 0.47/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------