%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL365-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.visWApSmuE 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 01:35:46 PM UTC 2026
% Result : Unsatisfiable 39.23s 7.16s
% Output : Refutation 39.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL365-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.visWApSmuE true
% 0.10/0.39 % Computer : n027.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Fri Sep 4 16:40:42 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 % Running portfolio for 300 s
% 0.10/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.40 % Number of cores: 8
% 0.10/0.40 % Python version: Python 3.12.3
% 0.10/0.40 % Running in FO mode
% 0.43/0.68 % Total configuration time : 435
% 0.43/0.68 % Estimated wc time : 1092
% 0.43/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 39.23/7.16 % Solved by fo/fo1_av.sh.
% 39.23/7.16 % done 2437 iterations in 6.307s
% 39.23/7.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 39.23/7.16 % SZS output start Refutation
% 39.23/7.16 thf(y_type, type, y: $i).
% 39.23/7.16 thf(u_type, type, u: $i).
% 39.23/7.16 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 39.23/7.16 thf(implies_type, type, implies: $i > $i > $i).
% 39.23/7.16 thf(not_type, type, not: $i > $i).
% 39.23/7.16 thf(x_type, type, x: $i).
% 39.23/7.16 thf(z_type, type, z: $i).
% 39.23/7.16 thf(cn_3, axiom,
% 39.23/7.16 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 39.23/7.16 thf(zip_derived_cl3, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 39.23/7.16 inference('cnf', [status(esa)], [cn_3])).
% 39.23/7.16 thf(condensed_detachment, axiom,
% 39.23/7.16 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 39.23/7.16 ( is_a_theorem @ Y ))).
% 39.23/7.16 thf(zip_derived_cl0, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 39.23/7.16 | ~ (is_a_theorem @ X0)
% 39.23/7.16 | (is_a_theorem @ X1))),
% 39.23/7.16 inference('cnf', [status(esa)], [condensed_detachment])).
% 39.23/7.16 thf(zip_derived_cl6, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 39.23/7.16 thf(cn_2, axiom,
% 39.23/7.16 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 39.23/7.16 thf(zip_derived_cl2, plain,
% 39.23/7.16 (![X0 : $i]:
% 39.23/7.16 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 39.23/7.16 inference('cnf', [status(esa)], [cn_2])).
% 39.23/7.16 thf(cn_1, axiom,
% 39.23/7.16 (is_a_theorem @
% 39.23/7.16 ( implies @
% 39.23/7.16 ( implies @ X @ Y ) @
% 39.23/7.16 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 39.23/7.16 thf(zip_derived_cl1, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X0 @ X1) @
% 39.23/7.16 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 39.23/7.16 inference('cnf', [status(esa)], [cn_1])).
% 39.23/7.16 thf(zip_derived_cl0, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 39.23/7.16 | ~ (is_a_theorem @ X0)
% 39.23/7.16 | (is_a_theorem @ X1))),
% 39.23/7.16 inference('cnf', [status(esa)], [condensed_detachment])).
% 39.23/7.16 thf(zip_derived_cl7, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 39.23/7.16 thf(zip_derived_cl7, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 39.23/7.16 thf(zip_derived_cl0, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 39.23/7.16 | ~ (is_a_theorem @ X0)
% 39.23/7.16 | (is_a_theorem @ X1))),
% 39.23/7.16 inference('cnf', [status(esa)], [condensed_detachment])).
% 39.23/7.16 thf(zip_derived_cl19, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 39.23/7.16 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 39.23/7.16 thf(zip_derived_cl24, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 39.23/7.16 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl19])).
% 39.23/7.16 thf(zip_derived_cl97, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ (not @ X0) @ X1))
% 39.23/7.16 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl24])).
% 39.23/7.16 thf(zip_derived_cl105, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ X1)
% 39.23/7.16 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl97])).
% 39.23/7.16 thf(zip_derived_cl3, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 39.23/7.16 inference('cnf', [status(esa)], [cn_3])).
% 39.23/7.16 thf(zip_derived_cl19, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 39.23/7.16 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 39.23/7.16 thf(zip_derived_cl21, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 39.23/7.16 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl19])).
% 39.23/7.16 thf(zip_derived_cl111, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl21])).
% 39.23/7.16 thf(zip_derived_cl1, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X0 @ X1) @
% 39.23/7.16 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 39.23/7.16 inference('cnf', [status(esa)], [cn_1])).
% 39.23/7.16 thf(zip_derived_cl19, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 39.23/7.16 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 39.23/7.16 thf(zip_derived_cl23, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.23/7.16 (~ (is_a_theorem @
% 39.23/7.16 (implies @
% 39.23/7.16 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 39.23/7.16 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl19])).
% 39.23/7.16 thf(zip_derived_cl7, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 39.23/7.16 thf(zip_derived_cl72, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.23/7.16 ( (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X1 @ X3) @
% 39.23/7.16 (implies @ X2 @ (implies @ X1 @ X0))))
% 39.23/7.16 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0))))),
% 39.23/7.16 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl7])).
% 39.23/7.16 thf(zip_derived_cl23, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 39.23/7.16 (~ (is_a_theorem @
% 39.23/7.16 (implies @
% 39.23/7.16 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 39.23/7.16 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl19])).
% 39.23/7.16 thf(zip_derived_cl524, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 39.23/7.16 (~ (is_a_theorem @
% 39.23/7.16 (implies @ X3 @ (implies @ (implies @ X4 @ X1) @ X0)))
% 39.23/7.16 | (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X4 @ X2) @
% 39.23/7.16 (implies @ X3 @ (implies @ (implies @ X2 @ X1) @ X0)))))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl23])).
% 39.23/7.16 thf(zip_derived_cl7, plain,
% 39.23/7.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 39.23/7.16 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 39.23/7.16 | (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 39.23/7.16 thf(prove_cn_14, conjecture,
% 39.23/7.16 (is_a_theorem @
% 39.23/7.16 ( implies @
% 39.23/7.16 ( implies @ ( implies @ x @ ( implies @ ( implies @ y @ z ) @ z ) ) @ u ) @
% 39.23/7.16 ( implies @ ( implies @ ( not @ z ) @ y ) @ u ) ))).
% 39.23/7.16 thf(zf_stmt_0, negated_conjecture,
% 39.23/7.16 (~( is_a_theorem @
% 39.23/7.16 ( implies @
% 39.23/7.16 ( implies @
% 39.23/7.16 ( implies @ x @ ( implies @ ( implies @ y @ z ) @ z ) ) @ u ) @
% 39.23/7.16 ( implies @ ( implies @ ( not @ z ) @ y ) @ u ) ) )),
% 39.23/7.16 inference('cnf.neg', [status(esa)], [prove_cn_14])).
% 39.23/7.16 thf(zip_derived_cl4, plain,
% 39.23/7.16 (~ (is_a_theorem @
% 39.23/7.16 (implies @
% 39.23/7.16 (implies @ (implies @ x @ (implies @ (implies @ y @ z) @ z)) @ u) @
% 39.23/7.16 (implies @ (implies @ (not @ z) @ y) @ u)))),
% 39.23/7.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 39.23/7.16 thf(zip_derived_cl20, plain,
% 39.23/7.16 (~ (is_a_theorem @
% 39.23/7.16 (implies @ (implies @ (not @ z) @ y) @
% 39.23/7.16 (implies @ x @ (implies @ (implies @ y @ z) @ z))))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 39.23/7.16 thf(zip_derived_cl13416, plain,
% 39.23/7.16 (~ (is_a_theorem @
% 39.23/7.16 (implies @ x @ (implies @ (implies @ (not @ z) @ z) @ z)))),
% 39.23/7.16 inference('s_sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl20])).
% 39.23/7.16 thf(zip_derived_cl13434, plain,
% 39.23/7.16 (~ (is_a_theorem @ (implies @ (implies @ (not @ z) @ z) @ z))),
% 39.23/7.16 inference('s_sup-', [status(thm)],
% 39.23/7.16 [zip_derived_cl111, zip_derived_cl13416])).
% 39.23/7.16 thf(zip_derived_cl2, plain,
% 39.23/7.16 (![X0 : $i]:
% 39.23/7.16 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 39.23/7.16 inference('cnf', [status(esa)], [cn_2])).
% 39.23/7.16 thf(zip_derived_cl13440, plain, ($false),
% 39.23/7.16 inference('demod', [status(thm)], [zip_derived_cl13434, zip_derived_cl2])).
% 39.23/7.16
% 39.23/7.16 % SZS output end Refutation
% 39.23/7.16
% 39.23/7.16
% 39.23/7.16 % Terminating...
% 7.84/7.21 % Runner terminated.
% 7.84/7.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------