%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL042-1 : 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.ZbdK7wxBZr true
% Computer : n009.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 01:35:04 PM UTC 2026
% Result : Unsatisfiable 122.29s 18.15s
% Output : Refutation 122.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL042-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZbdK7wxBZr true
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 4 16:25:51 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Running portfolio for 300 s
% 0.08/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Number of cores: 8
% 0.08/0.37 % Python version: Python 3.12.3
% 0.08/0.38 % Running in FO mode
% 0.33/0.59 % Total configuration time : 435
% 0.33/0.59 % Estimated wc time : 1092
% 0.33/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 122.29/18.15 % Solved by fo/fo4.sh.
% 122.29/18.15 % done 10059 iterations in 17.379s
% 122.29/18.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 122.29/18.15 % SZS output start Refutation
% 122.29/18.15 thf(b_type, type, b: $i).
% 122.29/18.15 thf(not_type, type, not: $i > $i).
% 122.29/18.15 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 122.29/18.15 thf(implies_type, type, implies: $i > $i > $i).
% 122.29/18.15 thf(c_type, type, c: $i).
% 122.29/18.15 thf(a_type, type, a: $i).
% 122.29/18.15 thf(cn_21, axiom,
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 ( implies @
% 122.29/18.15 ( implies @ X @ ( implies @ Y @ Z ) ) @
% 122.29/18.15 ( implies @ Y @ ( implies @ X @ Z ) ) ))).
% 122.29/18.15 thf(zip_derived_cl3, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 122.29/18.15 (implies @ X1 @ (implies @ X0 @ X2))))),
% 122.29/18.15 inference('cnf', [status(esa)], [cn_21])).
% 122.29/18.15 thf(condensed_detachment, axiom,
% 122.29/18.15 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 122.29/18.15 ( is_a_theorem @ Y ))).
% 122.29/18.15 thf(zip_derived_cl0, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 122.29/18.15 | ~ (is_a_theorem @ X0)
% 122.29/18.15 | (is_a_theorem @ X1))),
% 122.29/18.15 inference('cnf', [status(esa)], [condensed_detachment])).
% 122.29/18.15 thf(zip_derived_cl10, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 122.29/18.15 thf(zip_derived_cl10, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 122.29/18.15 thf(cn_18, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 122.29/18.15 thf(zip_derived_cl2, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 122.29/18.15 inference('cnf', [status(esa)], [cn_18])).
% 122.29/18.15 thf(zip_derived_cl0, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 122.29/18.15 | ~ (is_a_theorem @ X0)
% 122.29/18.15 | (is_a_theorem @ X1))),
% 122.29/18.15 inference('cnf', [status(esa)], [condensed_detachment])).
% 122.29/18.15 thf(zip_derived_cl7, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 122.29/18.15 thf(zip_derived_cl65, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 122.29/18.15 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl7])).
% 122.29/18.15 thf(cn_22, axiom,
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 ( implies @
% 122.29/18.15 ( implies @ Y @ Z ) @
% 122.29/18.15 ( implies @ ( implies @ X @ Y ) @ ( implies @ X @ Z ) ) ))).
% 122.29/18.15 thf(zip_derived_cl4, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 (implies @ (implies @ X0 @ X1) @
% 122.29/18.15 (implies @ (implies @ X2 @ X0) @ (implies @ X2 @ X1))))),
% 122.29/18.15 inference('cnf', [status(esa)], [cn_22])).
% 122.29/18.15 thf(zip_derived_cl0, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 122.29/18.15 | ~ (is_a_theorem @ X0)
% 122.29/18.15 | (is_a_theorem @ X1))),
% 122.29/18.15 inference('cnf', [status(esa)], [condensed_detachment])).
% 122.29/18.15 thf(zip_derived_cl11, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 ( (is_a_theorem @
% 122.29/18.15 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 122.29/18.15 thf(zip_derived_cl10, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 122.29/18.15 thf(zip_derived_cl123, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 122.29/18.15 | (is_a_theorem @
% 122.29/18.15 (implies @ X1 @ (implies @ (implies @ X1 @ X2) @ X0))))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 122.29/18.15 thf(zip_derived_cl7, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 122.29/18.15 thf(zip_derived_cl10, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 122.29/18.15 thf(cn_54, axiom,
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 ( implies @
% 122.29/18.15 ( implies @ X @ Y ) @ ( implies @ ( implies @ ( not @ X ) @ Y ) @ Y ) ))).
% 122.29/18.15 thf(zip_derived_cl5, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 (implies @ (implies @ X0 @ X1) @
% 122.29/18.15 (implies @ (implies @ (not @ X0) @ X1) @ X1)))),
% 122.29/18.15 inference('cnf', [status(esa)], [cn_54])).
% 122.29/18.15 thf(zip_derived_cl0, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 122.29/18.15 | ~ (is_a_theorem @ X0)
% 122.29/18.15 | (is_a_theorem @ X1))),
% 122.29/18.15 inference('cnf', [status(esa)], [condensed_detachment])).
% 122.29/18.15 thf(zip_derived_cl9, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 ( (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X0))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 122.29/18.15 thf(zip_derived_cl0, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 122.29/18.15 | ~ (is_a_theorem @ X0)
% 122.29/18.15 | (is_a_theorem @ X1))),
% 122.29/18.15 inference('cnf', [status(esa)], [condensed_detachment])).
% 122.29/18.15 thf(zip_derived_cl18, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 122.29/18.15 | (is_a_theorem @ X0)
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 122.29/18.15 thf(zip_derived_cl63, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X0)))
% 122.29/18.15 | (is_a_theorem @ (implies @ X1 @ X0))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl18])).
% 122.29/18.15 thf(zip_derived_cl350, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 122.29/18.15 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl63])).
% 122.29/18.15 thf(zip_derived_cl1198, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 122.29/18.15 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 122.29/18.15 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0)))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl350])).
% 122.29/18.15 thf(prove_cn_35, conjecture,
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 ( implies @
% 122.29/18.15 ( implies @ a @ ( implies @ b @ c ) ) @
% 122.29/18.15 ( implies @ ( implies @ a @ b ) @ ( implies @ a @ c ) ) ))).
% 122.29/18.15 thf(zf_stmt_0, negated_conjecture,
% 122.29/18.15 (~( is_a_theorem @
% 122.29/18.15 ( implies @
% 122.29/18.15 ( implies @ a @ ( implies @ b @ c ) ) @
% 122.29/18.15 ( implies @ ( implies @ a @ b ) @ ( implies @ a @ c ) ) ) )),
% 122.29/18.15 inference('cnf.neg', [status(esa)], [prove_cn_35])).
% 122.29/18.15 thf(zip_derived_cl6, plain,
% 122.29/18.15 (~ (is_a_theorem @
% 122.29/18.15 (implies @ (implies @ a @ (implies @ b @ c)) @
% 122.29/18.15 (implies @ (implies @ a @ b) @ (implies @ a @ c))))),
% 122.29/18.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 122.29/18.15 thf(zip_derived_cl47569, plain,
% 122.29/18.15 ((~ (is_a_theorem @
% 122.29/18.15 (implies @ (not @ a) @
% 122.29/18.15 (implies @ (implies @ a @ b) @ (implies @ a @ c))))
% 122.29/18.15 | ~ (is_a_theorem @
% 122.29/18.15 (implies @ (implies @ b @ c) @
% 122.29/18.15 (implies @ (implies @ a @ b) @ (implies @ a @ c)))))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl1198, zip_derived_cl6])).
% 122.29/18.15 thf(zip_derived_cl4, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.29/18.15 (is_a_theorem @
% 122.29/18.15 (implies @ (implies @ X0 @ X1) @
% 122.29/18.15 (implies @ (implies @ X2 @ X0) @ (implies @ X2 @ X1))))),
% 122.29/18.15 inference('cnf', [status(esa)], [cn_22])).
% 122.29/18.15 thf(zip_derived_cl47646, plain,
% 122.29/18.15 (~ (is_a_theorem @
% 122.29/18.15 (implies @ (not @ a) @
% 122.29/18.15 (implies @ (implies @ a @ b) @ (implies @ a @ c))))),
% 122.29/18.15 inference('demod', [status(thm)], [zip_derived_cl47569, zip_derived_cl4])).
% 122.29/18.15 thf(zip_derived_cl48725, plain,
% 122.29/18.15 (~ (is_a_theorem @ (implies @ (not @ a) @ (implies @ a @ c)))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl47646])).
% 122.29/18.15 thf(zip_derived_cl48764, plain,
% 122.29/18.15 (~ (is_a_theorem @ (implies @ a @ (implies @ (not @ a) @ c)))),
% 122.29/18.15 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl48725])).
% 122.29/18.15 thf(cn_3, axiom,
% 122.29/18.15 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 122.29/18.15 thf(zip_derived_cl1, plain,
% 122.29/18.15 (![X0 : $i, X1 : $i]:
% 122.29/18.15 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 122.29/18.15 inference('cnf', [status(esa)], [cn_3])).
% 122.29/18.15 thf(zip_derived_cl48772, plain, ($false),
% 122.29/18.15 inference('demod', [status(thm)], [zip_derived_cl48764, zip_derived_cl1])).
% 122.29/18.15
% 122.29/18.15 % SZS output end Refutation
% 122.29/18.15
% 122.29/18.15
% 122.29/18.15 % Terminating...
% 18.65/18.20 % Runner terminated.
% 18.65/18.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------