%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL042-5 : 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.X8anogxqmA true
% Computer : n012.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 04:30:13 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.85s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : COL042-5 : TPTP v9.2.0. Released v1.2.0.
% 0.16/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X8anogxqmA true
% 0.16/0.36 % Computer : n012.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.23/0.37 % WCLimit : 300
% 0.23/0.37 % DateTime : Wed Oct 1 10:58:38 EDT 2025
% 0.23/0.37 % CPUTime :
% 0.23/0.37 % Running portfolio for 300 s
% 0.23/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.37 % Number of cores: 8
% 0.23/0.37 % Python version: Python 3.6.8
% 0.23/0.37 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.85 % Solved by fo/fo6_bce.sh.
% 0.59/0.85 % BCE start: 4
% 0.59/0.85 % BCE eliminated: 0
% 0.59/0.85 % PE start: 4
% 0.59/0.85 logic: eq
% 0.59/0.85 % PE eliminated: 1
% 0.59/0.85 % done 39 iterations in 0.101s
% 0.59/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.85 % SZS output start Refutation
% 0.59/0.85 thf(w1_type, type, w1: $i).
% 0.59/0.85 thf(fixed_point_type, type, fixed_point: $i > $o).
% 0.59/0.85 thf(fixed_pt_type, type, fixed_pt: $i).
% 0.59/0.85 thf(b_type, type, b: $i).
% 0.59/0.85 thf(apply_type, type, apply: $i > $i > $i).
% 0.59/0.85 thf(strong_fixed_point, axiom,
% 0.59/0.85 (( ( apply @ Strong_fixed_point @ fixed_pt ) !=
% 0.59/0.85 ( apply @ fixed_pt @ ( apply @ Strong_fixed_point @ fixed_pt ) ) ) |
% 0.59/0.85 ( fixed_point @ Strong_fixed_point ))).
% 0.59/0.85 thf(zip_derived_cl2, plain,
% 0.59/0.85 (![X0 : $i]:
% 0.59/0.85 (((apply @ X0 @ fixed_pt)
% 0.59/0.85 != (apply @ fixed_pt @ (apply @ X0 @ fixed_pt)))
% 0.59/0.85 | (fixed_point @ X0))),
% 0.59/0.85 inference('cnf', [status(esa)], [strong_fixed_point])).
% 0.59/0.85 thf(prove_strong_fixed_point, conjecture,
% 0.59/0.85 (fixed_point @
% 0.59/0.85 ( apply @
% 0.59/0.85 ( apply @ b @ ( apply @ w1 @ w1 ) ) @
% 0.59/0.85 ( apply @
% 0.59/0.85 ( apply @ b @ ( apply @ b @ w1 ) ) @ ( apply @ ( apply @ b @ b ) @ b ) ) ))).
% 0.59/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.85 (~( fixed_point @
% 0.59/0.85 ( apply @
% 0.59/0.85 ( apply @ b @ ( apply @ w1 @ w1 ) ) @
% 0.59/0.85 ( apply @
% 0.59/0.85 ( apply @ b @ ( apply @ b @ w1 ) ) @
% 0.59/0.85 ( apply @ ( apply @ b @ b ) @ b ) ) ) )),
% 0.59/0.85 inference('cnf.neg', [status(esa)], [prove_strong_fixed_point])).
% 0.59/0.85 thf(zip_derived_cl3, plain,
% 0.59/0.85 (~ (fixed_point @
% 0.59/0.85 (apply @ (apply @ b @ (apply @ w1 @ w1)) @
% 0.59/0.85 (apply @ (apply @ b @ (apply @ b @ w1)) @
% 0.59/0.85 (apply @ (apply @ b @ b) @ b))))),
% 0.59/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.85 thf(zip_derived_cl8, plain,
% 0.59/0.85 (((apply @
% 0.59/0.85 (apply @ (apply @ b @ (apply @ w1 @ w1)) @
% 0.59/0.85 (apply @ (apply @ b @ (apply @ b @ w1)) @
% 0.59/0.85 (apply @ (apply @ b @ b) @ b))) @
% 0.59/0.85 fixed_pt)
% 0.59/0.85 != (apply @ fixed_pt @
% 0.59/0.85 (apply @
% 0.59/0.85 (apply @ (apply @ b @ (apply @ w1 @ w1)) @
% 0.59/0.85 (apply @ (apply @ b @ (apply @ b @ w1)) @
% 0.59/0.85 (apply @ (apply @ b @ b) @ b))) @
% 0.59/0.85 fixed_pt)))),
% 0.59/0.85 inference('dp-resolution', [status(thm)],
% 0.59/0.85 [zip_derived_cl2, zip_derived_cl3])).
% 0.59/0.85 thf(b_definition, axiom,
% 0.59/0.85 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 0.59/0.85 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl21, plain,
% 0.59/0.85 (((apply @ (apply @ w1 @ w1) @
% 0.59/0.85 (apply @ (apply @ b @ w1) @ (apply @ b @ (apply @ b @ fixed_pt))))
% 0.59/0.85 != (apply @ fixed_pt @
% 0.59/0.85 (apply @ (apply @ w1 @ w1) @
% 0.59/0.85 (apply @ (apply @ b @ w1) @ (apply @ b @ (apply @ b @ fixed_pt))))))),
% 0.59/0.85 inference('demod', [status(thm)],
% 0.59/0.85 [zip_derived_cl8, zip_derived_cl0, zip_derived_cl0,
% 0.59/0.85 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0,
% 0.59/0.85 zip_derived_cl0])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(w1_definition, axiom,
% 0.59/0.85 (( apply @ ( apply @ w1 @ X ) @ Y ) = ( apply @ ( apply @ Y @ X ) @ X ))).
% 0.59/0.85 thf(zip_derived_cl1, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ X1) @ X0) = (apply @ (apply @ X0 @ X1) @ X1))),
% 0.59/0.85 inference('cnf', [status(esa)], [w1_definition])).
% 0.59/0.85 thf(zip_derived_cl22, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ X0) @ (apply @ (apply @ b @ X2) @ X1))
% 0.59/0.85 = (apply @ (apply @ X2 @ (apply @ X1 @ X0)) @ X0))),
% 0.59/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.85 thf(zip_derived_cl22, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ X0) @ (apply @ (apply @ b @ X2) @ X1))
% 0.59/0.85 = (apply @ (apply @ X2 @ (apply @ X1 @ X0)) @ X0))),
% 0.59/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl1, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ X1) @ X0) = (apply @ (apply @ X0 @ X1) @ X1))),
% 0.59/0.85 inference('cnf', [status(esa)], [w1_definition])).
% 0.59/0.85 thf(zip_derived_cl1, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ X1) @ X0) = (apply @ (apply @ X0 @ X1) @ X1))),
% 0.59/0.85 inference('cnf', [status(esa)], [w1_definition])).
% 0.59/0.85 thf(zip_derived_cl10, plain,
% 0.59/0.85 (![X0 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ X0) @ w1) = (apply @ (apply @ X0 @ X0) @ X0))),
% 0.59/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.59/0.85 thf(zip_derived_cl23, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ (apply @ (apply @ b @ X1) @ X0)) @ w1)
% 0.59/0.85 = (apply @
% 0.59/0.85 (apply @ X1 @ (apply @ X0 @ (apply @ (apply @ b @ X1) @ X0))) @
% 0.59/0.85 (apply @ (apply @ b @ X1) @ X0)))),
% 0.59/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 0.59/0.85 thf(zip_derived_cl0, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.85 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 0.59/0.85 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 0.59/0.85 inference('cnf', [status(esa)], [b_definition])).
% 0.59/0.85 thf(zip_derived_cl158, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i]:
% 0.59/0.85 ((apply @
% 0.59/0.85 (apply @ w1 @ (apply @ (apply @ b @ (apply @ b @ X1)) @ X0)) @ w1)
% 0.59/0.85 = (apply @ X1 @
% 0.59/0.85 (apply @
% 0.59/0.85 (apply @ X0 @ (apply @ (apply @ b @ (apply @ b @ X1)) @ X0)) @
% 0.59/0.85 (apply @ (apply @ b @ (apply @ b @ X1)) @ X0))))),
% 0.59/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.59/0.85 thf(zip_derived_cl1, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i]:
% 0.59/0.85 ((apply @ (apply @ w1 @ X1) @ X0) = (apply @ (apply @ X0 @ X1) @ X1))),
% 0.59/0.85 inference('cnf', [status(esa)], [w1_definition])).
% 0.59/0.85 thf(zip_derived_cl188, plain,
% 0.59/0.85 (![X0 : $i, X1 : $i]:
% 0.59/0.85 ((apply @
% 0.59/0.85 (apply @ w1 @ (apply @ (apply @ b @ (apply @ b @ X1)) @ X0)) @ w1)
% 0.59/0.85 = (apply @ X1 @
% 0.59/0.85 (apply @
% 0.59/0.85 (apply @ w1 @ (apply @ (apply @ b @ (apply @ b @ X1)) @ X0)) @
% 0.59/0.85 X0)))),
% 0.59/0.85 inference('demod', [status(thm)], [zip_derived_cl158, zip_derived_cl1])).
% 0.59/0.85 thf(zip_derived_cl280, plain,
% 0.59/0.85 (((apply @
% 0.59/0.85 (apply @ w1 @ (apply @ (apply @ b @ (apply @ b @ fixed_pt)) @ w1)) @
% 0.59/0.85 w1)
% 0.59/0.85 != (apply @
% 0.59/0.85 (apply @ w1 @ (apply @ (apply @ b @ (apply @ b @ fixed_pt)) @ w1)) @
% 0.59/0.85 w1))),
% 0.59/0.85 inference('demod', [status(thm)],
% 0.59/0.85 [zip_derived_cl21, zip_derived_cl22, zip_derived_cl22,
% 0.59/0.85 zip_derived_cl188])).
% 0.59/0.85 thf(zip_derived_cl281, plain, ($false),
% 0.59/0.85 inference('simplify', [status(thm)], [zip_derived_cl280])).
% 0.59/0.85
% 0.59/0.85 % SZS output end Refutation
% 0.59/0.85
% 0.59/0.85
% 0.59/0.85 % Terminating...
% 1.55/0.87 % Runner terminated.
% 1.55/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------