%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL045-1 : 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.H4FNotncre true
% Computer : n010.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 01:35:05 PM UTC 2026
% Result : Unsatisfiable 14.61s 2.72s
% Output : Refutation 14.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL045-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H4FNotncre true
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 5 03:40:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Running portfolio for 300 s
% 0.09/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.38 % Python version: Python 3.12.3
% 0.09/0.38 % Running in FO mode
% 0.43/0.64 % Total configuration time : 435
% 0.43/0.64 % Estimated wc time : 1092
% 0.43/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.61/2.72 % Solved by fo/fo13.sh.
% 14.61/2.72 % done 1945 iterations in 1.898s
% 14.61/2.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.61/2.72 % SZS output start Refutation
% 14.61/2.72 thf(b_type, type, b: $i).
% 14.61/2.72 thf(not_type, type, not: $i > $i).
% 14.61/2.72 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 14.61/2.72 thf(implies_type, type, implies: $i > $i > $i).
% 14.61/2.72 thf(a_type, type, a: $i).
% 14.61/2.72 thf(cn_18, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 14.61/2.72 thf(zip_derived_cl2, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 14.61/2.72 inference('cnf', [status(esa)], [cn_18])).
% 14.61/2.72 thf(cn_21, axiom,
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 ( implies @
% 14.61/2.72 ( implies @ X @ ( implies @ Y @ Z ) ) @
% 14.61/2.72 ( implies @ Y @ ( implies @ X @ Z ) ) ))).
% 14.61/2.72 thf(zip_derived_cl3, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 14.61/2.72 (implies @ X1 @ (implies @ X0 @ X2))))),
% 14.61/2.72 inference('cnf', [status(esa)], [cn_21])).
% 14.61/2.72 thf(condensed_detachment, axiom,
% 14.61/2.72 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 14.61/2.72 ( is_a_theorem @ Y ))).
% 14.61/2.72 thf(zip_derived_cl0, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 14.61/2.72 | ~ (is_a_theorem @ X0)
% 14.61/2.72 | (is_a_theorem @ X1))),
% 14.61/2.72 inference('cnf', [status(esa)], [condensed_detachment])).
% 14.61/2.72 thf(zip_derived_cl14, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 14.61/2.72 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 14.61/2.72 thf(zip_derived_cl2, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 14.61/2.72 inference('cnf', [status(esa)], [cn_18])).
% 14.61/2.72 thf(zip_derived_cl0, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 14.61/2.72 | ~ (is_a_theorem @ X0)
% 14.61/2.72 | (is_a_theorem @ X1))),
% 14.61/2.72 inference('cnf', [status(esa)], [condensed_detachment])).
% 14.61/2.72 thf(zip_derived_cl8, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 14.61/2.72 thf(zip_derived_cl58, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 ( (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 14.61/2.72 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 14.61/2.72 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl8])).
% 14.61/2.72 thf(zip_derived_cl328, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (is_a_theorem @ (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl58])).
% 14.61/2.72 thf(zip_derived_cl14, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 14.61/2.72 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 14.61/2.72 thf(cn_54, axiom,
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 ( implies @
% 14.61/2.72 ( implies @ X @ Y ) @ ( implies @ ( implies @ ( not @ X ) @ Y ) @ Y ) ))).
% 14.61/2.72 thf(zip_derived_cl5, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ X0 @ X1) @
% 14.61/2.72 (implies @ (implies @ (not @ X0) @ X1) @ X1)))),
% 14.61/2.72 inference('cnf', [status(esa)], [cn_54])).
% 14.61/2.72 thf(zip_derived_cl0, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 14.61/2.72 | ~ (is_a_theorem @ X0)
% 14.61/2.72 | (is_a_theorem @ X1))),
% 14.61/2.72 inference('cnf', [status(esa)], [condensed_detachment])).
% 14.61/2.72 thf(zip_derived_cl41, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 14.61/2.72 | (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X0)))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 14.61/2.72 thf(zip_derived_cl65, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 14.61/2.72 | (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ (not @ X2) @ (implies @ X1 @ X0)) @
% 14.61/2.72 (implies @ X1 @ X0))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl41])).
% 14.61/2.72 thf(prove_cn_46, conjecture,
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 ( implies @ ( implies @ a @ b ) @ ( implies @ ( not @ b ) @ ( not @ a ) ) ))).
% 14.61/2.72 thf(zf_stmt_0, negated_conjecture,
% 14.61/2.72 (~( is_a_theorem @
% 14.61/2.72 ( implies @
% 14.61/2.72 ( implies @ a @ b ) @ ( implies @ ( not @ b ) @ ( not @ a ) ) ) )),
% 14.61/2.72 inference('cnf.neg', [status(esa)], [prove_cn_46])).
% 14.61/2.72 thf(zip_derived_cl6, plain,
% 14.61/2.72 (~ (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ a @ b) @ (implies @ (not @ b) @ (not @ a))))),
% 14.61/2.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.61/2.72 thf(zip_derived_cl0, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 14.61/2.72 | ~ (is_a_theorem @ X0)
% 14.61/2.72 | (is_a_theorem @ X1))),
% 14.61/2.72 inference('cnf', [status(esa)], [condensed_detachment])).
% 14.61/2.72 thf(zip_derived_cl7, plain,
% 14.61/2.72 (![X0 : $i]:
% 14.61/2.72 (~ (is_a_theorem @
% 14.61/2.72 (implies @ X0 @
% 14.61/2.72 (implies @ (implies @ a @ b) @ (implies @ (not @ b) @ (not @ a)))))
% 14.61/2.72 | ~ (is_a_theorem @ X0))),
% 14.61/2.72 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 14.61/2.72 thf(zip_derived_cl461, plain,
% 14.61/2.72 (![X0 : $i]:
% 14.61/2.72 (~ (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ a @ b) @
% 14.61/2.72 (implies @ X0 @ (implies @ (not @ b) @ (not @ a)))))
% 14.61/2.72 | ~ (is_a_theorem @
% 14.61/2.72 (implies @ (not @ X0) @
% 14.61/2.72 (implies @ (implies @ a @ b) @
% 14.61/2.72 (implies @ (not @ b) @ (not @ a))))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl7])).
% 14.61/2.72 thf(zip_derived_cl5182, plain,
% 14.61/2.72 (~ (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ a @ b) @
% 14.61/2.72 (implies @ a @ (implies @ (not @ b) @ (not @ a)))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl461])).
% 14.61/2.72 thf(cn_3, axiom,
% 14.61/2.72 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 14.61/2.72 thf(zip_derived_cl1, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 14.61/2.72 inference('cnf', [status(esa)], [cn_3])).
% 14.61/2.72 thf(cn_22, axiom,
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 ( implies @
% 14.61/2.72 ( implies @ Y @ Z ) @
% 14.61/2.72 ( implies @ ( implies @ X @ Y ) @ ( implies @ X @ Z ) ) ))).
% 14.61/2.72 thf(zip_derived_cl4, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ X0 @ X1) @
% 14.61/2.72 (implies @ (implies @ X2 @ X0) @ (implies @ X2 @ X1))))),
% 14.61/2.72 inference('cnf', [status(esa)], [cn_22])).
% 14.61/2.72 thf(zip_derived_cl0, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 14.61/2.72 | ~ (is_a_theorem @ X0)
% 14.61/2.72 | (is_a_theorem @ X1))),
% 14.61/2.72 inference('cnf', [status(esa)], [condensed_detachment])).
% 14.61/2.72 thf(zip_derived_cl29, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 14.61/2.72 | (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 14.61/2.72 thf(zip_derived_cl95, plain,
% 14.61/2.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.61/2.72 (is_a_theorem @
% 14.61/2.72 (implies @ (implies @ X2 @ X1) @
% 14.61/2.72 (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 14.61/2.72 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl29])).
% 14.61/2.72 thf(zip_derived_cl5191, plain, ($false),
% 14.61/2.72 inference('demod', [status(thm)], [zip_derived_cl5182, zip_derived_cl95])).
% 14.61/2.72
% 14.61/2.72 % SZS output end Refutation
% 14.61/2.72
% 14.61/2.72
% 14.61/2.72 % Terminating...
% 14.61/2.76 % Runner terminated.
% 14.61/2.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------