%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL101-1 : 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.VhRynbC5zk true
% Computer : n017.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 01:35:11 PM UTC 2026
% Result : Unsatisfiable 0.42s 0.71s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL101-1 : 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.VhRynbC5zk true
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 15:23:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Running portfolio for 300 s
% 0.09/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.37 % Python version: Python 3.12.3
% 0.09/0.37 % Running in FO mode
% 0.38/0.59 % Total configuration time : 435
% 0.38/0.59 % Estimated wc time : 1092
% 0.38/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.71 % Solved by fo/fo6_bce.sh.
% 0.42/0.71 % BCE start: 4
% 0.42/0.71 % BCE eliminated: 0
% 0.42/0.71 % PE start: 4
% 0.42/0.71 logic: neq
% 0.42/0.71 % PE eliminated: 0
% 0.42/0.71 % done 27 iterations in 0.028s
% 0.42/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.42/0.71 % SZS output start Refutation
% 0.42/0.71 thf(c_type, type, c: $i).
% 0.42/0.71 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.42/0.71 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 0.42/0.71 thf(b_type, type, b: $i).
% 0.42/0.71 thf(a_type, type, a: $i).
% 0.42/0.71 thf(e_type, type, e: $i).
% 0.42/0.71 thf(prove_p_1, conjecture,
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @ e @ b ) @ ( equivalent @ ( equivalent @ a @ e ) @ c ) ) ))).
% 0.42/0.71 thf(zf_stmt_0, negated_conjecture,
% 0.42/0.71 (~( is_a_theorem @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @ e @ b ) @
% 0.42/0.71 ( equivalent @ ( equivalent @ a @ e ) @ c ) ) ) )),
% 0.42/0.71 inference('cnf.neg', [status(esa)], [prove_p_1])).
% 0.42/0.71 thf(zip_derived_cl3, plain,
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 0.42/0.71 (equivalent @ (equivalent @ e @ b) @
% 0.42/0.71 (equivalent @ (equivalent @ a @ e) @ c))))),
% 0.42/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.42/0.71 thf(p_4, axiom,
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 X @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @ ( equivalent @ Y @ Z ) @ ( equivalent @ Y @ U ) ) @
% 0.42/0.71 ( equivalent @ Z @ U ) ) @
% 0.42/0.71 X ) ))).
% 0.42/0.71 thf(zip_derived_cl2, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @ X0 @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X3)) @
% 0.42/0.71 (equivalent @ X2 @ X3)) @
% 0.42/0.71 X0)))),
% 0.42/0.71 inference('cnf', [status(esa)], [p_4])).
% 0.42/0.71 thf(zip_derived_cl2, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @ X0 @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X3)) @
% 0.42/0.71 (equivalent @ X2 @ X3)) @
% 0.42/0.71 X0)))),
% 0.42/0.71 inference('cnf', [status(esa)], [p_4])).
% 0.42/0.71 thf(condensed_detachment, axiom,
% 0.42/0.71 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 0.42/0.71 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 0.42/0.71 thf(zip_derived_cl0, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.42/0.71 | ~ (is_a_theorem @ X0)
% 0.42/0.71 | (is_a_theorem @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.42/0.71 thf(zip_derived_cl5, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ X0)
% 0.42/0.71 | (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X3 @ X1)) @
% 0.42/0.71 (equivalent @ X2 @ X1)) @
% 0.42/0.71 X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl2, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @ X0 @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X3)) @
% 0.42/0.71 (equivalent @ X2 @ X3)) @
% 0.42/0.71 X0)))),
% 0.42/0.71 inference('cnf', [status(esa)], [p_4])).
% 0.42/0.71 thf(lg_2, axiom,
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @
% 0.42/0.71 ( equivalent @ ( equivalent @ X @ Y ) @ ( equivalent @ X @ Z ) ) @
% 0.42/0.71 ( equivalent @ Y @ Z ) ) @
% 0.42/0.71 U ) @
% 0.42/0.71 U ))).
% 0.42/0.71 thf(zip_derived_cl1, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X0 @ X2)) @
% 0.42/0.71 (equivalent @ X1 @ X2)) @
% 0.42/0.71 X3) @
% 0.42/0.71 X3))),
% 0.42/0.71 inference('cnf', [status(esa)], [lg_2])).
% 0.42/0.71 thf(zip_derived_cl0, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.42/0.71 | ~ (is_a_theorem @ X0)
% 0.42/0.71 | (is_a_theorem @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.42/0.71 thf(zip_derived_cl4, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X3 @ X1)) @
% 0.42/0.71 (equivalent @ X2 @ X1)) @
% 0.42/0.71 X0))
% 0.42/0.71 | (is_a_theorem @ X0))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl6, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 0.42/0.71 (equivalent @ X4 @ X3)) @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 0.42/0.71 (equivalent @ X1 @ X0))))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.42/0.71 thf(zip_derived_cl4, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X3 @ X1)) @
% 0.42/0.71 (equivalent @ X2 @ X1)) @
% 0.42/0.71 X0))
% 0.42/0.71 | (is_a_theorem @ X0))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl10, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 0.42/0.71 (equivalent @ X1 @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 0.42/0.71 thf(zip_derived_cl0, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.42/0.71 | ~ (is_a_theorem @ X0)
% 0.42/0.71 | (is_a_theorem @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.42/0.71 thf(zip_derived_cl11, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)))
% 0.42/0.71 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl15, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X2 @ X1)) @
% 0.42/0.71 X0))
% 0.42/0.71 | (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X1) @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.42/0.71 thf(zip_derived_cl24, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X0) @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 0.42/0.71 (equivalent @ X4 @ X3)) @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0)))))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 0.42/0.71 thf(zip_derived_cl10, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 0.42/0.71 (equivalent @ X1 @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 0.42/0.71 thf(zip_derived_cl6, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)) @
% 0.42/0.71 (equivalent @ X4 @ X3)) @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 0.42/0.71 (equivalent @ X1 @ X0))))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 0.42/0.71 thf(zip_derived_cl11, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)))
% 0.42/0.71 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl16, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X1 @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 0.42/0.71 thf(zip_derived_cl11, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)))
% 0.42/0.71 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl19, plain,
% 0.42/0.71 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.42/0.71 thf(zip_derived_cl15, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X2 @ X1)) @
% 0.42/0.71 X0))
% 0.42/0.71 | (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X1) @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 0.42/0.71 thf(zip_derived_cl23, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X0) @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl15])).
% 0.42/0.71 thf(zip_derived_cl0, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.42/0.71 | ~ (is_a_theorem @ X0)
% 0.42/0.71 | (is_a_theorem @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.42/0.71 thf(zip_derived_cl27, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 0.42/0.71 | (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl0, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.42/0.71 | ~ (is_a_theorem @ X0)
% 0.42/0.71 | (is_a_theorem @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.42/0.71 thf(zip_derived_cl33, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.71 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 0.42/0.71 | ~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 0.42/0.71 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl0])).
% 0.42/0.71 thf(zip_derived_cl46, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (~ (is_a_theorem @
% 0.42/0.71 (equivalent @ X3 @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0))))
% 0.42/0.71 | (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X1 @ X0))))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl33])).
% 0.42/0.71 thf(zip_derived_cl69, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.42/0.71 (is_a_theorem @
% 0.42/0.71 (equivalent @ (equivalent @ (equivalent @ X2 @ X3) @ X0) @
% 0.42/0.71 (equivalent @ (equivalent @ X1 @ X3) @
% 0.42/0.71 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 0.42/0.71 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl46])).
% 0.42/0.71 thf(zip_derived_cl79, plain, ($false),
% 0.42/0.71 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl69])).
% 0.42/0.71
% 0.42/0.71 % SZS output end Refutation
% 0.42/0.71
% 0.42/0.71
% 0.42/0.71 % Terminating...
% 0.42/0.76 % Runner terminated.
% 0.42/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------