%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL126-1 : 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.UjDwASI7bg true
% Computer : n031.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 0.43s 0.74s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL126-1 : 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.UjDwASI7bg true
% 0.11/0.38 % Computer : n031.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 5 11:02:39 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 % Running portfolio for 300 s
% 0.11/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39 % Number of cores: 8
% 0.11/0.39 % Python version: Python 3.12.3
% 0.11/0.39 % Running in FO mode
% 0.37/0.62 % Total configuration time : 435
% 0.37/0.62 % Estimated wc time : 1092
% 0.37/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.74 % Solved by fo/fo6_bce.sh.
% 0.43/0.74 % BCE start: 4
% 0.43/0.74 % BCE eliminated: 0
% 0.43/0.74 % PE start: 4
% 0.43/0.74 logic: neq
% 0.43/0.74 % PE eliminated: 0
% 0.43/0.74 % done 27 iterations in 0.025s
% 0.43/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.43/0.74 % SZS output start Refutation
% 0.43/0.74 thf(a_type, type, a: $i).
% 0.43/0.74 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.43/0.74 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 0.43/0.74 thf(c_type, type, c: $i).
% 0.43/0.74 thf(b_type, type, b: $i).
% 0.43/0.74 thf(q_4, axiom,
% 0.43/0.74 (is_a_theorem @
% 0.43/0.74 ( equivalent @
% 0.43/0.74 ( equivalent @ X @ Y ) @
% 0.43/0.74 ( equivalent @ ( equivalent @ X @ Z ) @ ( equivalent @ Y @ Z ) ) ))).
% 0.43/0.74 thf(zip_derived_cl2, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.74 (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ X0 @ X1) @
% 0.43/0.74 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X2))))),
% 0.43/0.74 inference('cnf', [status(esa)], [q_4])).
% 0.43/0.74 thf(zip_derived_cl2, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.74 (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ X0 @ X1) @
% 0.43/0.74 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X2))))),
% 0.43/0.74 inference('cnf', [status(esa)], [q_4])).
% 0.43/0.74 thf(condensed_detachment, axiom,
% 0.43/0.74 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 0.43/0.74 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 0.43/0.74 thf(zip_derived_cl0, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.43/0.74 | ~ (is_a_theorem @ X0)
% 0.43/0.74 | (is_a_theorem @ X1))),
% 0.43/0.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.43/0.74 thf(zip_derived_cl5, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.43/0.74 | (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.43/0.74 thf(zip_derived_cl0, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.43/0.74 | ~ (is_a_theorem @ X0)
% 0.43/0.74 | (is_a_theorem @ X1))),
% 0.43/0.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.43/0.74 thf(zip_derived_cl6, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.43/0.74 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 0.43/0.74 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.43/0.74 thf(zip_derived_cl8, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X3))
% 0.43/0.74 | (is_a_theorem @
% 0.43/0.74 (equivalent @
% 0.43/0.74 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)) @
% 0.43/0.74 X3)))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 0.43/0.74 thf(prove_q_2, conjecture,
% 0.43/0.74 (is_a_theorem @
% 0.43/0.74 ( equivalent @
% 0.43/0.74 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ c @ b ) ) @
% 0.43/0.74 ( equivalent @ a @ c ) ))).
% 0.43/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.43/0.74 (~( is_a_theorem @
% 0.43/0.74 ( equivalent @
% 0.43/0.74 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ c @ b ) ) @
% 0.43/0.74 ( equivalent @ a @ c ) ) )),
% 0.43/0.74 inference('cnf.neg', [status(esa)], [prove_q_2])).
% 0.43/0.74 thf(zip_derived_cl3, plain,
% 0.43/0.74 (~ (is_a_theorem @
% 0.43/0.74 (equivalent @
% 0.43/0.74 (equivalent @ (equivalent @ a @ b) @ (equivalent @ c @ b)) @
% 0.43/0.74 (equivalent @ a @ c)))),
% 0.43/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.74 thf(zip_derived_cl27, plain,
% 0.43/0.74 (~ (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ a @ c) @ (equivalent @ a @ c)))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 0.43/0.74 thf(zip_derived_cl2, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.74 (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ X0 @ X1) @
% 0.43/0.74 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X2))))),
% 0.43/0.74 inference('cnf', [status(esa)], [q_4])).
% 0.43/0.74 thf(zip_derived_cl6, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.43/0.74 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 0.43/0.74 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.43/0.74 thf(zip_derived_cl10, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i]:
% 0.43/0.74 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 0.43/0.74 | ~ (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.43/0.74 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 0.43/0.74 thf(zip_derived_cl13, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.74 (is_a_theorem @
% 0.43/0.74 (equivalent @
% 0.43/0.74 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)) @
% 0.43/0.74 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 0.43/0.74 thf(zip_derived_cl8, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X3))
% 0.43/0.74 | (is_a_theorem @
% 0.43/0.74 (equivalent @
% 0.43/0.74 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)) @
% 0.43/0.74 X3)))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 0.43/0.74 thf(zip_derived_cl0, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.43/0.74 | ~ (is_a_theorem @ X0)
% 0.43/0.74 | (is_a_theorem @ X1))),
% 0.43/0.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.43/0.74 thf(zip_derived_cl23, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.74 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 0.43/0.74 | ~ (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))
% 0.43/0.74 | (is_a_theorem @ X0))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 0.43/0.74 thf(zip_derived_cl65, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i]:
% 0.43/0.74 ( (is_a_theorem @ (equivalent @ X0 @ X0))
% 0.43/0.74 | ~ (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X0))))),
% 0.43/0.74 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 0.43/0.74 thf(zip_derived_cl69, plain,
% 0.43/0.74 (![X0 : $i, X1 : $i]:
% 0.43/0.74 (is_a_theorem @
% 0.43/0.74 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X1 @ X0)))),
% 0.43/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl65])).
% 0.43/0.74 thf(zip_derived_cl78, plain, ($false),
% 0.43/0.74 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl69])).
% 0.43/0.74
% 0.43/0.74 % SZS output end Refutation
% 0.43/0.74
% 0.43/0.74
% 0.43/0.74 % Terminating...
% 0.43/0.77 % Runner terminated.
% 0.43/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------