%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C6brKuNZTW true
% Computer : n019.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 01:35:01 PM UTC 2026
% Result : Unsatisfiable 7.47s 1.79s
% Output : Refutation 7.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C6brKuNZTW true
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 5 11:20:53 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 % Running portfolio for 300 s
% 0.12/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Number of cores: 8
% 0.12/0.39 % Python version: Python 3.12.3
% 0.12/0.40 % Running in FO mode
% 0.46/0.67 % Total configuration time : 435
% 0.46/0.67 % Estimated wc time : 1092
% 0.46/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.47/1.79 % Solved by fo/fo13.sh.
% 7.47/1.79 % done 725 iterations in 0.954s
% 7.47/1.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.47/1.79 % SZS output start Refutation
% 7.47/1.79 thf(b_type, type, b: $i).
% 7.47/1.79 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 7.47/1.79 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 7.47/1.79 thf(a_type, type, a: $i).
% 7.47/1.79 thf(c_type, type, c: $i).
% 7.47/1.79 thf(ec_5, axiom,
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 ( equivalent @
% 7.47/1.79 ( equivalent @ ( equivalent @ X @ Y ) @ Z ) @
% 7.47/1.79 ( equivalent @ X @ ( equivalent @ Y @ Z ) ) ))).
% 7.47/1.79 thf(zip_derived_cl2, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 7.47/1.79 (equivalent @ X0 @ (equivalent @ X1 @ X2))))),
% 7.47/1.79 inference('cnf', [status(esa)], [ec_5])).
% 7.47/1.79 thf(ec_4, axiom,
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 ( equivalent @ ( equivalent @ X @ Y ) @ ( equivalent @ Y @ X ) ))).
% 7.47/1.79 thf(zip_derived_cl1, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X1 @ X0)))),
% 7.47/1.79 inference('cnf', [status(esa)], [ec_4])).
% 7.47/1.79 thf(condensed_detachment, axiom,
% 7.47/1.79 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 7.47/1.79 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 7.47/1.79 thf(zip_derived_cl0, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 7.47/1.79 | ~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ X1))),
% 7.47/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.47/1.79 thf(zip_derived_cl5, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl17, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 7.47/1.79 (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 7.47/1.79 thf(zip_derived_cl2, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 7.47/1.79 (equivalent @ X0 @ (equivalent @ X1 @ X2))))),
% 7.47/1.79 inference('cnf', [status(esa)], [ec_5])).
% 7.47/1.79 thf(zip_derived_cl0, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 7.47/1.79 | ~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ X1))),
% 7.47/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.47/1.79 thf(zip_derived_cl9, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl2, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 7.47/1.79 (equivalent @ X0 @ (equivalent @ X1 @ X2))))),
% 7.47/1.79 inference('cnf', [status(esa)], [ec_5])).
% 7.47/1.79 thf(zip_derived_cl33, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ X2 @ X1) @
% 7.47/1.79 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 7.47/1.79 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 7.47/1.79 thf(zip_derived_cl9, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl1, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X1 @ X0)))),
% 7.47/1.79 inference('cnf', [status(esa)], [ec_4])).
% 7.47/1.79 thf(zip_derived_cl32, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ X0 @ (equivalent @ X1 @ (equivalent @ X1 @ X0))))),
% 7.47/1.79 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 7.47/1.79 thf(zip_derived_cl0, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 7.47/1.79 | ~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ X1))),
% 7.47/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.47/1.79 thf(zip_derived_cl36, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X1 @ X0))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl5, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl58, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X1)))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl5])).
% 7.47/1.79 thf(prove_ec_1, conjecture,
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 ( equivalent @
% 7.47/1.79 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ c @ a ) ) @
% 7.47/1.79 ( equivalent @ b @ c ) ))).
% 7.47/1.79 thf(zf_stmt_0, negated_conjecture,
% 7.47/1.79 (~( is_a_theorem @
% 7.47/1.79 ( equivalent @
% 7.47/1.79 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ c @ a ) ) @
% 7.47/1.79 ( equivalent @ b @ c ) ) )),
% 7.47/1.79 inference('cnf.neg', [status(esa)], [prove_ec_1])).
% 7.47/1.79 thf(zip_derived_cl3, plain,
% 7.47/1.79 (~ (is_a_theorem @
% 7.47/1.79 (equivalent @
% 7.47/1.79 (equivalent @ (equivalent @ a @ b) @ (equivalent @ c @ a)) @
% 7.47/1.79 (equivalent @ b @ c)))),
% 7.47/1.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.47/1.79 thf(zip_derived_cl0, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 7.47/1.79 | ~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ X1))),
% 7.47/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.47/1.79 thf(zip_derived_cl4, plain,
% 7.47/1.79 (![X0 : $i]:
% 7.47/1.79 (~ (is_a_theorem @
% 7.47/1.79 (equivalent @ X0 @
% 7.47/1.79 (equivalent @
% 7.47/1.79 (equivalent @ (equivalent @ a @ b) @ (equivalent @ c @ a)) @
% 7.47/1.79 (equivalent @ b @ c))))
% 7.47/1.79 | ~ (is_a_theorem @ X0))),
% 7.47/1.79 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl128, plain,
% 7.47/1.79 (![X0 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ X0)
% 7.47/1.79 | ~ (is_a_theorem @
% 7.47/1.79 (equivalent @
% 7.47/1.79 (equivalent @
% 7.47/1.79 (equivalent @ (equivalent @ a @ b) @ (equivalent @ c @ a)) @
% 7.47/1.79 (equivalent @ b @ c)) @
% 7.47/1.79 X0)))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl4])).
% 7.47/1.79 thf(zip_derived_cl747, plain,
% 7.47/1.79 (![X0 : $i]:
% 7.47/1.79 ~ (is_a_theorem @
% 7.47/1.79 (equivalent @ X0 @
% 7.47/1.79 (equivalent @
% 7.47/1.79 (equivalent @ (equivalent @ a @ b) @ (equivalent @ c @ a)) @
% 7.47/1.79 (equivalent @ (equivalent @ b @ c) @ X0))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl128])).
% 7.47/1.79 thf(zip_derived_cl36, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X1 @ X0))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl0, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 7.47/1.79 | ~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ X1))),
% 7.47/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.47/1.79 thf(zip_derived_cl57, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ X0)
% 7.47/1.79 | ~ (is_a_theorem @ X1)
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl9, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.47/1.79 thf(zip_derived_cl80, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 7.47/1.79 | ~ (is_a_theorem @ X0)
% 7.47/1.79 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl9])).
% 7.47/1.79 thf(zip_derived_cl2549, plain,
% 7.47/1.79 (![X0 : $i]:
% 7.47/1.79 (~ (is_a_theorem @
% 7.47/1.79 (equivalent @ X0 @
% 7.47/1.79 (equivalent @ (equivalent @ a @ b) @ (equivalent @ c @ a))))
% 7.47/1.79 | ~ (is_a_theorem @ (equivalent @ (equivalent @ b @ c) @ X0)))),
% 7.47/1.79 inference('s_sup+', [status(thm)], [zip_derived_cl747, zip_derived_cl80])).
% 7.47/1.79 thf(zip_derived_cl2655, plain,
% 7.47/1.79 (~ (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ b @ c) @
% 7.47/1.79 (equivalent @ a @ (equivalent @ b @ (equivalent @ c @ a)))))),
% 7.47/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl2549])).
% 7.47/1.79 thf(zip_derived_cl33, plain,
% 7.47/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.47/1.79 (is_a_theorem @
% 7.47/1.79 (equivalent @ (equivalent @ X2 @ X1) @
% 7.47/1.79 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 7.47/1.79 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 7.47/1.79 thf(zip_derived_cl2657, plain, ($false),
% 7.47/1.79 inference('demod', [status(thm)], [zip_derived_cl2655, zip_derived_cl33])).
% 7.47/1.79
% 7.47/1.79 % SZS output end Refutation
% 7.47/1.79
% 7.47/1.79
% 7.47/1.79 % Terminating...
% 0.94/1.84 % Runner terminated.
% 0.94/1.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------