%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL011-1 : 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.BSWwRx5odc true
% Computer : n028.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 0.50s 0.81s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL011-1 : 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.BSWwRx5odc true
% 0.09/0.36 % Computer : n028.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 14:27:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Running portfolio for 300 s
% 0.09/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.12.3
% 0.14/0.37 % 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/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.81 % Solved by fo/fo6_bce.sh.
% 0.50/0.81 % BCE start: 3
% 0.50/0.81 % BCE eliminated: 0
% 0.50/0.81 % PE start: 3
% 0.50/0.81 logic: neq
% 0.50/0.81 % PE eliminated: 0
% 0.50/0.81 % done 46 iterations in 0.080s
% 0.50/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.81 % SZS output start Refutation
% 0.50/0.81 thf(a_type, type, a: $i).
% 0.50/0.81 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.50/0.81 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 0.50/0.81 thf(c_type, type, c: $i).
% 0.50/0.81 thf(b_type, type, b: $i).
% 0.50/0.81 thf(prove_yqf, conjecture,
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 ( equivalent @
% 0.50/0.81 ( equivalent @ a @ b ) @
% 0.50/0.81 ( equivalent @ ( equivalent @ a @ c ) @ ( equivalent @ c @ b ) ) ))).
% 0.50/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.50/0.81 (~( is_a_theorem @
% 0.50/0.81 ( equivalent @
% 0.50/0.81 ( equivalent @ a @ b ) @
% 0.50/0.81 ( equivalent @ ( equivalent @ a @ c ) @ ( equivalent @ c @ b ) ) ) )),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_yqf])).
% 0.50/0.81 thf(zip_derived_cl2, plain,
% 0.50/0.81 (~ (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ a @ b) @
% 0.50/0.81 (equivalent @ (equivalent @ a @ c) @ (equivalent @ c @ b))))),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.81 thf(yqj, axiom,
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 ( equivalent @
% 0.50/0.81 ( equivalent @ X @ Y ) @
% 0.50/0.81 ( equivalent @ ( equivalent @ Z @ X ) @ ( equivalent @ Y @ Z ) ) ))).
% 0.50/0.81 thf(zip_derived_cl1, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X1) @
% 0.50/0.81 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 0.50/0.81 inference('cnf', [status(esa)], [yqj])).
% 0.50/0.81 thf(zip_derived_cl1, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X1) @
% 0.50/0.81 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 0.50/0.81 inference('cnf', [status(esa)], [yqj])).
% 0.50/0.81 thf(zip_derived_cl1, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X1) @
% 0.50/0.81 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 0.50/0.81 inference('cnf', [status(esa)], [yqj])).
% 0.50/0.81 thf(condensed_detachment, axiom,
% 0.50/0.81 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 0.50/0.81 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 0.50/0.81 thf(zip_derived_cl0, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.50/0.81 | ~ (is_a_theorem @ X0)
% 0.50/0.81 | (is_a_theorem @ X1))),
% 0.50/0.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.50/0.81 thf(zip_derived_cl3, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.50/0.81 | (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.50/0.81 thf(zip_derived_cl1, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X1) @
% 0.50/0.81 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 0.50/0.81 inference('cnf', [status(esa)], [yqj])).
% 0.50/0.81 thf(zip_derived_cl3, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.50/0.81 | (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.50/0.81 thf(zip_derived_cl1, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X1) @
% 0.50/0.81 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 0.50/0.81 inference('cnf', [status(esa)], [yqj])).
% 0.50/0.81 thf(zip_derived_cl1, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X1) @
% 0.50/0.81 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 0.50/0.81 inference('cnf', [status(esa)], [yqj])).
% 0.50/0.81 thf(zip_derived_cl3, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.50/0.81 | (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.50/0.81 thf(zip_derived_cl0, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.50/0.81 | ~ (is_a_theorem @ X0)
% 0.50/0.81 | (is_a_theorem @ X1))),
% 0.50/0.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.50/0.81 thf(zip_derived_cl4, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.50/0.81 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 0.50/0.81 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.50/0.81 thf(zip_derived_cl5, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X2 @ X1)))
% 0.50/0.81 | (is_a_theorem @
% 0.50/0.81 (equivalent @
% 0.50/0.81 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0)) @
% 0.50/0.81 X3)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.50/0.81 thf(zip_derived_cl0, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 0.50/0.81 | ~ (is_a_theorem @ X0)
% 0.50/0.81 | (is_a_theorem @ X1))),
% 0.50/0.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.50/0.81 thf(zip_derived_cl13, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X3 @ X2)))
% 0.50/0.81 | ~ (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1)))
% 0.50/0.81 | (is_a_theorem @ X0))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.50/0.81 thf(zip_derived_cl44, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.81 (~ (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X3 @ (equivalent @ X0 @ X2)) @
% 0.50/0.81 (equivalent @ (equivalent @ X1 @ X0) @ X3)))
% 0.50/0.81 | (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 0.50/0.81 thf(zip_derived_cl60, plain,
% 0.50/0.81 (![X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.81 (~ (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1)))
% 0.50/0.81 | (is_a_theorem @ (equivalent @ X3 @ X2)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl44])).
% 0.50/0.81 thf(zip_derived_cl72, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (is_a_theorem @
% 0.50/0.81 (equivalent @ X1 @ (equivalent @ X0 @ (equivalent @ X1 @ X0))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 0.50/0.81 thf(zip_derived_cl13, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X3 @ X2)))
% 0.50/0.81 | ~ (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1)))
% 0.50/0.81 | (is_a_theorem @ X0))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.50/0.81 thf(zip_derived_cl81, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (~ (is_a_theorem @
% 0.50/0.81 (equivalent @ (equivalent @ X2 @ X0) @
% 0.50/0.81 (equivalent @ (equivalent @ X1 @ X0) @ X2)))
% 0.50/0.81 | (is_a_theorem @ X1))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl13])).
% 0.50/0.81 thf(zip_derived_cl129, plain,
% 0.50/0.81 (![X1 : $i, X2 : $i]:
% 0.50/0.81 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X2 @ X1)))
% 0.50/0.82 | (is_a_theorem @ X2))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl81])).
% 0.50/0.82 thf(zip_derived_cl135, plain,
% 0.50/0.82 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl129])).
% 0.50/0.82 thf(zip_derived_cl3, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.50/0.82 | (is_a_theorem @
% 0.50/0.82 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.50/0.82 thf(zip_derived_cl5, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.82 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X2 @ X1)))
% 0.50/0.82 | (is_a_theorem @
% 0.50/0.82 (equivalent @
% 0.50/0.82 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0)) @
% 0.50/0.82 X3)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.50/0.82 thf(zip_derived_cl4, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.50/0.82 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 0.50/0.82 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.50/0.82 thf(zip_derived_cl14, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.50/0.82 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X3 @ X2)))
% 0.50/0.82 | ~ (is_a_theorem @
% 0.50/0.82 (equivalent @ X4 @
% 0.50/0.82 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1))))
% 0.50/0.82 | (is_a_theorem @ (equivalent @ X0 @ X4)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.50/0.82 thf(zip_derived_cl24, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.50/0.82 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 0.50/0.82 | ~ (is_a_theorem @
% 0.50/0.82 (equivalent @ X4 @
% 0.50/0.82 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X0 @ X3))))
% 0.50/0.82 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X4)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl141, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.82 (~ (is_a_theorem @
% 0.50/0.82 (equivalent @ X3 @
% 0.50/0.82 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X1))))
% 0.50/0.82 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X0) @ X3)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl24])).
% 0.50/0.82 thf(zip_derived_cl195, plain,
% 0.50/0.82 (![X1 : $i, X2 : $i]:
% 0.50/0.82 (is_a_theorem @
% 0.50/0.82 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X2 @ X1)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl141])).
% 0.50/0.82 thf(zip_derived_cl141, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.82 (~ (is_a_theorem @
% 0.50/0.82 (equivalent @ X3 @
% 0.50/0.82 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X1))))
% 0.50/0.82 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X0) @ X3)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl24])).
% 0.50/0.82 thf(zip_derived_cl272, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (is_a_theorem @
% 0.50/0.82 (equivalent @ (equivalent @ X1 @ X2) @
% 0.50/0.82 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X2))))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl141])).
% 0.50/0.82 thf(zip_derived_cl276, plain, ($false),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl272])).
% 0.50/0.82
% 0.50/0.82 % SZS output end Refutation
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82 % Terminating...
% 0.50/0.84 % Runner terminated.
% 0.50/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------