%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL130-1 : 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.bP0Ww0dFc3 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 01:35:15 PM UTC 2026
% Result : Unsatisfiable 0.48s 0.76s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL130-1 : 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.bP0Ww0dFc3 true
% 0.10/0.35 % Computer : n027.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 18:03:13 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Running portfolio for 300 s
% 0.10/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Number of cores: 8
% 0.10/0.36 % Python version: Python 3.12.3
% 0.14/0.36 % Running in FO mode
% 0.46/0.65 % Total configuration time : 435
% 0.46/0.65 % Estimated wc time : 1092
% 0.46/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.76 % Solved by fo/fo6_bce.sh.
% 0.48/0.76 % BCE start: 3
% 0.48/0.76 % BCE eliminated: 0
% 0.48/0.76 % PE start: 3
% 0.48/0.76 logic: neq
% 0.48/0.76 % PE eliminated: 0
% 0.48/0.76 % done 18 iterations in 0.021s
% 0.48/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.76 % SZS output start Refutation
% 0.48/0.76 thf(c_type, type, c: $i).
% 0.48/0.76 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.48/0.76 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 0.48/0.76 thf(b_type, type, b: $i).
% 0.48/0.76 thf(e_type, type, e: $i).
% 0.48/0.76 thf(a_type, type, a: $i).
% 0.48/0.76 thf(prove_lg_2, conjecture,
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 a @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 a @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 ( equivalent @ b @ c ) @
% 0.48/0.76 ( equivalent @ ( equivalent @ b @ e ) @ ( equivalent @ c @ e ) ) ) ) ))).
% 0.48/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.76 (~( is_a_theorem @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 a @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 a @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 ( equivalent @ b @ c ) @
% 0.48/0.76 ( equivalent @ ( equivalent @ b @ e ) @ ( equivalent @ c @ e ) ) ) ) ) )),
% 0.48/0.76 inference('cnf.neg', [status(esa)], [prove_lg_2])).
% 0.48/0.76 thf(zip_derived_cl2, plain,
% 0.48/0.76 (~ (is_a_theorem @
% 0.48/0.76 (equivalent @ a @
% 0.48/0.76 (equivalent @ a @
% 0.48/0.76 (equivalent @ (equivalent @ b @ c) @
% 0.48/0.76 (equivalent @ (equivalent @ b @ e) @ (equivalent @ c @ e))))))),
% 0.48/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.76 thf(p_4, axiom,
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 X @
% 0.48/0.76 ( equivalent @
% 0.48/0.76 ( equivalent @ Y @ Z ) @
% 0.48/0.76 ( equivalent @ ( equivalent @ Y @ U ) @ ( equivalent @ Z @ U ) ) ) ) @
% 0.48/0.76 X ))).
% 0.48/0.76 thf(zip_derived_cl1, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 (equivalent @
% 0.48/0.76 (equivalent @ X0 @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X2) @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3)))) @
% 0.48/0.76 X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [p_4])).
% 0.48/0.76 thf(zip_derived_cl1, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 (equivalent @
% 0.48/0.76 (equivalent @ X0 @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X2) @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3)))) @
% 0.48/0.76 X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [p_4])).
% 0.48/0.76 thf(zip_derived_cl1, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 (equivalent @
% 0.48/0.76 (equivalent @ X0 @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X2) @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3)))) @
% 0.48/0.76 X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [p_4])).
% 0.48/0.76 thf(condensed_detachment, axiom,
% 0.48/0.76 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 0.48/0.76 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 0.48/0.76 thf(zip_derived_cl0, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.48/0.76 | ~ (is_a_theorem @ X0)
% 0.48/0.76 | (is_a_theorem @ X1))),
% 0.48/0.76 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.48/0.76 thf(zip_derived_cl3, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (~ (is_a_theorem @
% 0.48/0.76 (equivalent @ X0 @
% 0.48/0.76 (equivalent @ (equivalent @ X3 @ X2) @
% 0.48/0.76 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))))
% 0.48/0.76 | (is_a_theorem @ X0))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.48/0.76 thf(zip_derived_cl4, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 (equivalent @
% 0.48/0.76 (equivalent @ (equivalent @ X2 @ X1) @
% 0.48/0.76 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))) @
% 0.48/0.76 (equivalent @ (equivalent @ X5 @ X4) @
% 0.48/0.76 (equivalent @ (equivalent @ X5 @ X3) @ (equivalent @ X4 @ X3)))))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.48/0.76 thf(zip_derived_cl3, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (~ (is_a_theorem @
% 0.48/0.76 (equivalent @ X0 @
% 0.48/0.76 (equivalent @ (equivalent @ X3 @ X2) @
% 0.48/0.76 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))))
% 0.48/0.76 | (is_a_theorem @ X0))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.48/0.76 thf(zip_derived_cl6, plain,
% 0.48/0.76 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 (equivalent @ (equivalent @ X5 @ X4) @
% 0.48/0.76 (equivalent @ (equivalent @ X5 @ X3) @ (equivalent @ X4 @ X3))))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.48/0.76 thf(zip_derived_cl0, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.48/0.76 | ~ (is_a_theorem @ X0)
% 0.48/0.76 | (is_a_theorem @ X1))),
% 0.48/0.76 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.48/0.76 thf(zip_derived_cl7, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.48/0.76 | (is_a_theorem @
% 0.48/0.76 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.48/0.76 thf(zip_derived_cl0, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.48/0.76 | ~ (is_a_theorem @ X0)
% 0.48/0.76 | (is_a_theorem @ X1))),
% 0.48/0.76 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.48/0.76 thf(zip_derived_cl8, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.48/0.76 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 0.48/0.76 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.48/0.76 thf(zip_derived_cl14, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 0.48/0.76 | ~ (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.48/0.76 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 0.48/0.76 thf(zip_derived_cl17, plain,
% 0.48/0.76 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])).
% 0.48/0.76 thf(zip_derived_cl1, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 (equivalent @
% 0.48/0.76 (equivalent @ X0 @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X2) @
% 0.48/0.76 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X3)))) @
% 0.48/0.76 X0))),
% 0.48/0.76 inference('cnf', [status(esa)], [p_4])).
% 0.48/0.76 thf(zip_derived_cl8, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.48/0.76 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 0.48/0.76 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.48/0.76 thf(zip_derived_cl10, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.48/0.76 (~ (is_a_theorem @
% 0.48/0.76 (equivalent @
% 0.48/0.76 (equivalent @ X0 @
% 0.48/0.76 (equivalent @ (equivalent @ X3 @ X2) @
% 0.48/0.76 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))) @
% 0.48/0.76 X4))
% 0.48/0.76 | (is_a_theorem @ (equivalent @ X0 @ X4)))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 0.48/0.76 thf(zip_derived_cl50, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (is_a_theorem @
% 0.48/0.76 (equivalent @ X3 @
% 0.48/0.76 (equivalent @ X3 @
% 0.48/0.76 (equivalent @ (equivalent @ X2 @ X1) @
% 0.48/0.76 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))))),
% 0.48/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])).
% 0.48/0.76 thf(zip_derived_cl55, plain, ($false),
% 0.48/0.76 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl50])).
% 0.48/0.76
% 0.48/0.76 % SZS output end Refutation
% 0.48/0.76
% 0.48/0.76
% 0.48/0.77 % Terminating...
% 1.42/0.80 % Runner terminated.
% 1.42/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------