%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL040-1 : 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.2DdhkldSZj true
% Computer : n026.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 7.58s 1.79s
% Output : Refutation 7.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2DdhkldSZj true
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 18:01:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.37 % Running in FO mode
% 0.41/0.65 % Total configuration time : 435
% 0.41/0.65 % Estimated wc time : 1092
% 0.41/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.44/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.44/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.44/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.58/1.79 % Solved by fo/fo6_bce.sh.
% 7.58/1.79 % BCE start: 7
% 7.58/1.79 % BCE eliminated: 0
% 7.58/1.79 % PE start: 7
% 7.58/1.79 logic: neq
% 7.58/1.79 % PE eliminated: 0
% 7.58/1.79 % done 766 iterations in 1.043s
% 7.58/1.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.58/1.79 % SZS output start Refutation
% 7.58/1.79 thf(a_type, type, a: $i).
% 7.58/1.79 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 7.58/1.79 thf(implies_type, type, implies: $i > $i > $i).
% 7.58/1.79 thf(c_type, type, c: $i).
% 7.58/1.79 thf(b_type, type, b: $i).
% 7.58/1.79 thf(prove_cn_21, conjecture,
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 ( implies @
% 7.58/1.79 ( implies @ a @ ( implies @ b @ c ) ) @
% 7.58/1.79 ( implies @ b @ ( implies @ a @ c ) ) ))).
% 7.58/1.79 thf(zf_stmt_0, negated_conjecture,
% 7.58/1.79 (~( is_a_theorem @
% 7.58/1.79 ( implies @
% 7.58/1.79 ( implies @ a @ ( implies @ b @ c ) ) @
% 7.58/1.79 ( implies @ b @ ( implies @ a @ c ) ) ) )),
% 7.58/1.79 inference('cnf.neg', [status(esa)], [prove_cn_21])).
% 7.58/1.79 thf(zip_derived_cl6, plain,
% 7.58/1.79 (~ (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ a @ (implies @ b @ c)) @
% 7.58/1.79 (implies @ b @ (implies @ a @ c))))),
% 7.58/1.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.58/1.79 thf(cn_35, axiom,
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 ( implies @
% 7.58/1.79 ( implies @ X @ ( implies @ Y @ Z ) ) @
% 7.58/1.79 ( implies @ ( implies @ X @ Y ) @ ( implies @ X @ Z ) ) ))).
% 7.58/1.79 thf(zip_derived_cl2, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 7.58/1.79 (implies @ (implies @ X0 @ X1) @ (implies @ X0 @ X2))))),
% 7.58/1.79 inference('cnf', [status(esa)], [cn_35])).
% 7.58/1.79 thf(cn_18, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 7.58/1.79 thf(zip_derived_cl1, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('cnf', [status(esa)], [cn_18])).
% 7.58/1.79 thf(condensed_detachment, axiom,
% 7.58/1.79 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 7.58/1.79 ( is_a_theorem @ Y ))).
% 7.58/1.79 thf(zip_derived_cl0, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 7.58/1.79 | ~ (is_a_theorem @ X0)
% 7.58/1.79 | (is_a_theorem @ X1))),
% 7.58/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.58/1.79 thf(zip_derived_cl7, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 7.58/1.79 thf(zip_derived_cl1, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('cnf', [status(esa)], [cn_18])).
% 7.58/1.79 thf(zip_derived_cl2, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 7.58/1.79 (implies @ (implies @ X0 @ X1) @ (implies @ X0 @ X2))))),
% 7.58/1.79 inference('cnf', [status(esa)], [cn_35])).
% 7.58/1.79 thf(zip_derived_cl0, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 7.58/1.79 | ~ (is_a_theorem @ X0)
% 7.58/1.79 | (is_a_theorem @ X1))),
% 7.58/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.58/1.79 thf(zip_derived_cl8, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 7.58/1.79 | (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.58/1.79 thf(zip_derived_cl0, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 7.58/1.79 | ~ (is_a_theorem @ X0)
% 7.58/1.79 | (is_a_theorem @ X1))),
% 7.58/1.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 7.58/1.79 thf(zip_derived_cl15, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 7.58/1.79 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 7.58/1.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 7.58/1.79 thf(zip_derived_cl19, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @
% 7.58/1.79 (implies @ X0 @ (implies @ (implies @ X1 @ X0) @ X2)))
% 7.58/1.79 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl15])).
% 7.58/1.79 thf(zip_derived_cl25, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 7.58/1.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl19])).
% 7.58/1.79 thf(zip_derived_cl35, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X2 @ X0) @
% 7.58/1.79 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl25])).
% 7.58/1.79 thf(zip_derived_cl7, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 7.58/1.79 thf(zip_derived_cl2, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 7.58/1.79 (implies @ (implies @ X0 @ X1) @ (implies @ X0 @ X2))))),
% 7.58/1.79 inference('cnf', [status(esa)], [cn_35])).
% 7.58/1.79 thf(zip_derived_cl15, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 7.58/1.79 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 7.58/1.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 7.58/1.79 thf(zip_derived_cl21, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.58/1.79 (~ (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X1 @ (implies @ X2 @ X0)) @
% 7.58/1.79 (implies @
% 7.58/1.79 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)) @ X3)))
% 7.58/1.79 | (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X1 @ (implies @ X2 @ X0)) @ X3)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 7.58/1.79 thf(zip_derived_cl57, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.58/1.79 (~ (is_a_theorem @
% 7.58/1.79 (implies @
% 7.58/1.79 (implies @ (implies @ X2 @ X3) @ (implies @ X2 @ X1)) @ X0))
% 7.58/1.79 | (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X2 @ (implies @ X3 @ X1)) @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 7.58/1.79 thf(zip_derived_cl288, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X1 @ (implies @ X3 @ X0)) @
% 7.58/1.79 (implies @ (implies @ X2 @ (implies @ X1 @ X3)) @
% 7.58/1.79 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl57])).
% 7.58/1.79 thf(zip_derived_cl1, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i]:
% 7.58/1.79 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('cnf', [status(esa)], [cn_18])).
% 7.58/1.79 thf(zip_derived_cl25, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 7.58/1.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl19])).
% 7.58/1.79 thf(zip_derived_cl33, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (is_a_theorem @ (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl25])).
% 7.58/1.79 thf(zip_derived_cl8, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 7.58/1.79 | (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.58/1.79 thf(zip_derived_cl25, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 7.58/1.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl19])).
% 7.58/1.79 thf(zip_derived_cl37, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 7.58/1.79 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl25])).
% 7.58/1.79 thf(zip_derived_cl168, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl37])).
% 7.58/1.79 thf(zip_derived_cl15, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 7.58/1.79 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 7.58/1.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 7.58/1.79 thf(zip_derived_cl210, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.58/1.79 (~ (is_a_theorem @
% 7.58/1.79 (implies @ X2 @
% 7.58/1.79 (implies @ (implies @ X0 @ (implies @ X1 @ X0)) @ X3)))
% 7.58/1.79 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl15])).
% 7.58/1.79 thf(zip_derived_cl4274, plain,
% 7.58/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.58/1.79 (is_a_theorem @
% 7.58/1.79 (implies @ (implies @ X1 @ (implies @ X2 @ X0)) @
% 7.58/1.79 (implies @ X2 @ (implies @ X1 @ X0))))),
% 7.58/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl210])).
% 7.58/1.79 thf(zip_derived_cl4284, plain, ($false),
% 7.58/1.79 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl4274])).
% 7.58/1.79
% 7.58/1.79 % SZS output end Refutation
% 7.58/1.79
% 7.58/1.79
% 7.58/1.79 % Terminating...
% 3.02/1.82 % Runner terminated.
% 3.02/1.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------