%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL082-1 : 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.gopBqZEN6H true
% Computer : n017.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 01:35:09 PM UTC 2026
% Result : Unsatisfiable 0.49s 0.82s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL082-1 : 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.gopBqZEN6H true
% 0.09/0.36 % Computer : n017.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 : Sat Sep 5 16:26:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Running portfolio for 300 s
% 0.09/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.37 % Python version: Python 3.12.3
% 0.09/0.37 % Running in FO mode
% 0.45/0.65 % Total configuration time : 435
% 0.45/0.65 % Estimated wc time : 1092
% 0.45/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.82 % Solved by fo/fo6_bce.sh.
% 0.49/0.82 % BCE start: 3
% 0.49/0.82 % BCE eliminated: 0
% 0.49/0.82 % PE start: 3
% 0.49/0.82 logic: neq
% 0.49/0.82 % PE eliminated: 0
% 0.49/0.82 % done 57 iterations in 0.069s
% 0.49/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.82 % SZS output start Refutation
% 0.49/0.82 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.49/0.82 thf(implies_type, type, implies: $i > $i > $i).
% 0.49/0.82 thf(b_type, type, b: $i).
% 0.49/0.82 thf(a_type, type, a: $i).
% 0.49/0.82 thf(ic_JLukasiewicz, axiom,
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 ( implies @
% 0.49/0.82 ( implies @ ( implies @ X @ Y ) @ Z ) @
% 0.49/0.82 ( implies @ ( implies @ Z @ X ) @ ( implies @ U @ X ) ) ))).
% 0.49/0.82 thf(zip_derived_cl1, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 0.49/0.82 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 0.49/0.82 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 0.49/0.82 thf(zip_derived_cl1, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 0.49/0.82 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 0.49/0.82 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 0.49/0.82 thf(condensed_detachment, axiom,
% 0.49/0.82 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 0.49/0.82 ( is_a_theorem @ Y ))).
% 0.49/0.82 thf(zip_derived_cl0, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.82 | ~ (is_a_theorem @ X0)
% 0.49/0.82 | (is_a_theorem @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.82 thf(zip_derived_cl3, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 0.49/0.82 | (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl4, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @
% 0.49/0.82 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.49/0.82 (implies @ X0 @ X3)) @
% 0.49/0.82 (implies @ X4 @ (implies @ X0 @ X3))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.49/0.82 thf(zip_derived_cl4, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @
% 0.49/0.82 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.49/0.82 (implies @ X0 @ X3)) @
% 0.49/0.82 (implies @ X4 @ (implies @ X0 @ X3))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.49/0.82 thf(zip_derived_cl3, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 0.49/0.82 | (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl6, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @
% 0.49/0.82 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 0.49/0.82 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1))) @
% 0.49/0.82 (implies @ X5 @
% 0.49/0.82 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.49/0.82 thf(zip_derived_cl0, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.82 | ~ (is_a_theorem @ X0)
% 0.49/0.82 | (is_a_theorem @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.82 thf(zip_derived_cl12, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.49/0.82 (~ (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ X5 @ (implies @ X0 @ X4)) @
% 0.49/0.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 0.49/0.82 | (is_a_theorem @
% 0.49/0.82 (implies @ X3 @
% 0.49/0.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl50, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X4 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @ X4 @
% 0.49/0.82 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl12])).
% 0.49/0.82 thf(zip_derived_cl0, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.82 | ~ (is_a_theorem @ X0)
% 0.49/0.82 | (is_a_theorem @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.82 thf(zip_derived_cl54, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ X2)
% 0.49/0.82 | (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl4, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @
% 0.49/0.82 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.49/0.82 (implies @ X0 @ X3)) @
% 0.49/0.82 (implies @ X4 @ (implies @ X0 @ X3))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.49/0.82 thf(zip_derived_cl4, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @
% 0.49/0.82 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.49/0.82 (implies @ X0 @ X3)) @
% 0.49/0.82 (implies @ X4 @ (implies @ X0 @ X3))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.49/0.82 thf(zip_derived_cl0, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.82 | ~ (is_a_theorem @ X0)
% 0.49/0.82 | (is_a_theorem @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.82 thf(zip_derived_cl5, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.49/0.82 (~ (is_a_theorem @
% 0.49/0.82 (implies @
% 0.49/0.82 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 0.49/0.82 (implies @ X1 @ X0)))
% 0.49/0.82 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl7, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X3 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @ X3 @
% 0.49/0.82 (implies @ (implies @ X1 @ X0) @
% 0.49/0.82 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.49/0.82 thf(zip_derived_cl63, plain,
% 0.49/0.82 (![X3 : $i, X4 : $i]:
% 0.49/0.82 (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X3)))),
% 0.49/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl7])).
% 0.49/0.82 thf(zip_derived_cl3, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 0.49/0.82 | (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl111, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ (implies @ X0 @ X0) @ X1) @
% 0.49/0.82 (implies @ X2 @ X1)))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.49/0.82 thf(zip_derived_cl5, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.49/0.82 (~ (is_a_theorem @
% 0.49/0.82 (implies @
% 0.49/0.82 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 0.49/0.82 (implies @ X1 @ X0)))
% 0.49/0.82 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl128, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl5])).
% 0.49/0.82 thf(zip_derived_cl0, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.82 | ~ (is_a_theorem @ X0)
% 0.49/0.82 | (is_a_theorem @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.82 thf(zip_derived_cl214, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ X2)
% 0.49/0.82 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 0.49/0.82 thf(prove_ic_2, conjecture,
% 0.49/0.82 (is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ))).
% 0.49/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.82 (~( is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ) )),
% 0.49/0.82 inference('cnf.neg', [status(esa)], [prove_ic_2])).
% 0.49/0.82 thf(zip_derived_cl2, plain,
% 0.49/0.82 (~ (is_a_theorem @ (implies @ a @ (implies @ b @ a)))),
% 0.49/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.82 thf(zip_derived_cl259, plain, (![X0 : $i]: ~ (is_a_theorem @ X0)),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl2])).
% 0.49/0.82 thf(zip_derived_cl63, plain,
% 0.49/0.82 (![X3 : $i, X4 : $i]:
% 0.49/0.82 (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X3)))),
% 0.49/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl7])).
% 0.49/0.82 thf(zip_derived_cl111, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @ (implies @ (implies @ X0 @ X0) @ X1) @
% 0.49/0.82 (implies @ X2 @ X1)))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 0.49/0.82 thf(zip_derived_cl0, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.82 | ~ (is_a_theorem @ X0)
% 0.49/0.82 | (is_a_theorem @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.82 thf(zip_derived_cl124, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X2) @ X0))
% 0.49/0.82 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl138, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl124])).
% 0.49/0.82 thf(zip_derived_cl0, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.82 | ~ (is_a_theorem @ X0)
% 0.49/0.82 | (is_a_theorem @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.82 thf(zip_derived_cl148, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl0])).
% 0.49/0.82 thf(zip_derived_cl7, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X3 : $i]:
% 0.49/0.82 (is_a_theorem @
% 0.49/0.82 (implies @ X3 @
% 0.49/0.82 (implies @ (implies @ X1 @ X0) @
% 0.49/0.82 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.49/0.82 thf(zip_derived_cl163, plain,
% 0.49/0.82 (![X3 : $i]: (is_a_theorem @ (implies @ X3 @ X3))),
% 0.49/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl7])).
% 0.49/0.82 thf(zip_derived_cl278, plain, ($false),
% 0.49/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl163])).
% 0.49/0.82
% 0.49/0.82 % SZS output end Refutation
% 0.49/0.82
% 0.49/0.82
% 0.49/0.82 % Terminating...
% 0.49/0.85 % Runner terminated.
% 0.49/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------