%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL044-2 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UknmwUQsEn true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:30:14 PM UTC 2025
% Result : Unsatisfiable 34.19s 5.49s
% Output : Refutation 34.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : COL044-2 : TPTP v9.2.0. Released v1.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UknmwUQsEn true
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 11:01:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.47/0.58 % Total configuration time : 435
% 0.47/0.58 % Estimated wc time : 1092
% 0.47/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 34.19/5.49 % Solved by fo/fo7.sh.
% 34.19/5.49 % done 438 iterations in 4.804s
% 34.19/5.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 34.19/5.49 % SZS output start Refutation
% 34.19/5.49 thf(n_type, type, n: $i).
% 34.19/5.49 thf(fixed_pt_type, type, fixed_pt: $i).
% 34.19/5.49 thf(b_type, type, b: $i).
% 34.19/5.49 thf(apply_type, type, apply: $i > $i > $i).
% 34.19/5.49 thf(fixed_point_type, type, fixed_point: $i > $o).
% 34.19/5.49 thf(strong_fixed_point, axiom,
% 34.19/5.49 (( ( apply @ Strong_fixed_point @ fixed_pt ) !=
% 34.19/5.49 ( apply @ fixed_pt @ ( apply @ Strong_fixed_point @ fixed_pt ) ) ) |
% 34.19/5.49 ( fixed_point @ Strong_fixed_point ))).
% 34.19/5.49 thf(zip_derived_cl2, plain,
% 34.19/5.49 (![X0 : $i]:
% 34.19/5.49 (((apply @ X0 @ fixed_pt)
% 34.19/5.49 != (apply @ fixed_pt @ (apply @ X0 @ fixed_pt)))
% 34.19/5.49 | (fixed_point @ X0))),
% 34.19/5.49 inference('cnf', [status(esa)], [strong_fixed_point])).
% 34.19/5.49 thf(prove_strong_fixed_point, conjecture,
% 34.19/5.49 (fixed_point @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @
% 34.19/5.49 b @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @
% 34.19/5.49 b @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @
% 34.19/5.49 n @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @ b @ b ) @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @ n @ ( apply @ ( apply @ b @ b ) @ n ) ) @ n ) ) ) @
% 34.19/5.49 n ) ) @
% 34.19/5.49 b ) ) @
% 34.19/5.49 b ))).
% 34.19/5.49 thf(zf_stmt_0, negated_conjecture,
% 34.19/5.49 (~( fixed_point @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @
% 34.19/5.49 b @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @
% 34.19/5.49 b @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @
% 34.19/5.49 n @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @ b @ b ) @
% 34.19/5.49 ( apply @
% 34.19/5.49 ( apply @ n @ ( apply @ ( apply @ b @ b ) @ n ) ) @ n ) ) ) @
% 34.19/5.49 n ) ) @
% 34.19/5.49 b ) ) @
% 34.19/5.49 b ) )),
% 34.19/5.49 inference('cnf.neg', [status(esa)], [prove_strong_fixed_point])).
% 34.19/5.49 thf(zip_derived_cl3, plain,
% 34.19/5.49 (~ (fixed_point @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ b @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ b @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ n @
% 34.19/5.49 (apply @ (apply @ b @ b) @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ n)) @ n))) @
% 34.19/5.49 n)) @
% 34.19/5.49 b)) @
% 34.19/5.49 b))),
% 34.19/5.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.19/5.49 thf(zip_derived_cl4, plain,
% 34.19/5.49 (((apply @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ b @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ b @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ n @
% 34.19/5.49 (apply @ (apply @ b @ b) @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ n)) @ n))) @
% 34.19/5.49 n)) @
% 34.19/5.49 b)) @
% 34.19/5.49 b) @
% 34.19/5.49 fixed_pt)
% 34.19/5.49 != (apply @ fixed_pt @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ b @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ b @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ n @
% 34.19/5.49 (apply @ (apply @ b @ b) @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ n)) @ n))) @
% 34.19/5.49 n)) @
% 34.19/5.49 b)) @
% 34.19/5.49 b) @
% 34.19/5.49 fixed_pt)))),
% 34.19/5.49 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 34.19/5.49 thf(b_definition, axiom,
% 34.19/5.49 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 34.19/5.49 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(zip_derived_cl5, plain,
% 34.19/5.49 (((apply @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ n @
% 34.19/5.49 (apply @ (apply @ b @ b) @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ n)) @ n))) @
% 34.19/5.49 n) @
% 34.19/5.49 (apply @ b @ (apply @ b @ fixed_pt)))
% 34.19/5.49 != (apply @ fixed_pt @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @
% 34.19/5.49 (apply @ n @
% 34.19/5.49 (apply @ (apply @ b @ b) @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ n)) @ n))) @
% 34.19/5.49 n) @
% 34.19/5.49 (apply @ b @ (apply @ b @ fixed_pt)))))),
% 34.19/5.49 inference('demod', [status(thm)],
% 34.19/5.49 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl0,
% 34.19/5.49 zip_derived_cl0, zip_derived_cl0])).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(n_definition, axiom,
% 34.19/5.49 (( apply @ ( apply @ ( apply @ n @ X ) @ Y ) @ Z ) =
% 34.19/5.49 ( apply @ ( apply @ ( apply @ X @ Z ) @ Y ) @ Z ))).
% 34.19/5.49 thf(zip_derived_cl1, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ n @ X0) @ X2) @ X1)
% 34.19/5.49 = (apply @ (apply @ (apply @ X0 @ X1) @ X2) @ X1))),
% 34.19/5.49 inference('cnf', [status(esa)], [n_definition])).
% 34.19/5.49 thf(zip_derived_cl18, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.19/5.49 ((apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ X2) @ X1)) @ X3) @ X0)
% 34.19/5.49 = (apply @ (apply @ (apply @ X2 @ (apply @ X1 @ X0)) @ X3) @ X0))),
% 34.19/5.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(zip_derived_cl10639, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ X2)) @ X1) @ X0)
% 34.19/5.49 = (apply @ (apply @ X2 @ X0) @ (apply @ X1 @ X0)))),
% 34.19/5.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 34.19/5.49 thf(zip_derived_cl10639, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ X2)) @ X1) @ X0)
% 34.19/5.49 = (apply @ (apply @ X2 @ X0) @ (apply @ X1 @ X0)))),
% 34.19/5.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 34.19/5.49 thf(zip_derived_cl10639, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ X2)) @ X1) @ X0)
% 34.19/5.49 = (apply @ (apply @ X2 @ X0) @ (apply @ X1 @ X0)))),
% 34.19/5.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 34.19/5.49 thf(zip_derived_cl10639, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ (apply @ b @ b) @ X2)) @ X1) @ X0)
% 34.19/5.49 = (apply @ (apply @ X2 @ X0) @ (apply @ X1 @ X0)))),
% 34.19/5.49 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(zip_derived_cl1, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ n @ X0) @ X2) @ X1)
% 34.19/5.49 = (apply @ (apply @ (apply @ X0 @ X1) @ X2) @ X1))),
% 34.19/5.49 inference('cnf', [status(esa)], [n_definition])).
% 34.19/5.49 thf(zip_derived_cl15, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ n @ (apply @ b @ X2)) @ X0) @ X1)
% 34.19/5.49 = (apply @ (apply @ X2 @ (apply @ X1 @ X0)) @ X1))),
% 34.19/5.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 34.19/5.49 thf(zip_derived_cl0, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 34.19/5.49 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 34.19/5.49 inference('cnf', [status(esa)], [b_definition])).
% 34.19/5.49 thf(zip_derived_cl55, plain,
% 34.19/5.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.19/5.49 ((apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ b @ (apply @ b @ X2))) @ X1) @ X0)
% 34.19/5.49 = (apply @ X2 @ (apply @ (apply @ X0 @ X1) @ X0)))),
% 34.19/5.49 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 34.19/5.49 thf(zip_derived_cl11355, plain,
% 34.19/5.49 (((apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ b @ (apply @ b @ fixed_pt))) @
% 34.19/5.49 (apply @ n @ (apply @ b @ (apply @ b @ fixed_pt)))) @
% 34.19/5.49 (apply @ n @ (apply @ b @ (apply @ b @ fixed_pt))))
% 34.19/5.49 != (apply @
% 34.19/5.49 (apply @ (apply @ n @ (apply @ b @ (apply @ b @ fixed_pt))) @
% 34.19/5.49 (apply @ n @ (apply @ b @ (apply @ b @ fixed_pt)))) @
% 34.19/5.49 (apply @ n @ (apply @ b @ (apply @ b @ fixed_pt)))))),
% 34.19/5.49 inference('demod', [status(thm)],
% 34.19/5.49 [zip_derived_cl5, zip_derived_cl10639, zip_derived_cl10639,
% 34.19/5.49 zip_derived_cl10639, zip_derived_cl10639, zip_derived_cl55])).
% 34.19/5.49 thf(zip_derived_cl11356, plain, ($false),
% 34.19/5.49 inference('simplify', [status(thm)], [zip_derived_cl11355])).
% 34.19/5.49
% 34.19/5.49 % SZS output end Refutation
% 34.19/5.49
% 34.19/5.49
% 34.19/5.49 % Terminating...
% 35.30/5.63 % Runner terminated.
% 35.30/5.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------