TSTP Solution File: COL003-17 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL003-17 : TPTP v8.1.2. Released v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rXpX2Awsu1 true
% Computer : n024.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 : Wed Aug 30 18:34:20 EDT 2023
% Result : Unsatisfiable 85.04s 12.88s
% Output : Refutation 85.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COL003-17 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rXpX2Awsu1 true
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 04:33:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 85.04/12.88 % Solved by fo/fo5.sh.
% 85.04/12.88 % done 765 iterations in 12.069s
% 85.04/12.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 85.04/12.88 % SZS output start Refutation
% 85.04/12.88 thf(w_type, type, w: $i).
% 85.04/12.88 thf(fixed_pt_type, type, fixed_pt: $i).
% 85.04/12.88 thf(strong_fixed_point_type, type, strong_fixed_point: $i).
% 85.04/12.88 thf(b_type, type, b: $i).
% 85.04/12.88 thf(apply_type, type, apply: $i > $i > $i).
% 85.04/12.88 thf(prove_strong_fixed_point, conjecture,
% 85.04/12.88 (( apply @ strong_fixed_point @ fixed_pt ) =
% 85.04/12.88 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) ))).
% 85.04/12.88 thf(zf_stmt_0, negated_conjecture,
% 85.04/12.88 (( apply @ strong_fixed_point @ fixed_pt ) !=
% 85.04/12.88 ( apply @ fixed_pt @ ( apply @ strong_fixed_point @ fixed_pt ) )),
% 85.04/12.88 inference('cnf.neg', [status(esa)], [prove_strong_fixed_point])).
% 85.04/12.88 thf(zip_derived_cl3, plain,
% 85.04/12.88 (((apply @ strong_fixed_point @ fixed_pt)
% 85.04/12.88 != (apply @ fixed_pt @ (apply @ strong_fixed_point @ fixed_pt)))),
% 85.04/12.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.04/12.88 thf(w_definition, axiom,
% 85.04/12.88 (( apply @ ( apply @ w @ X ) @ Y ) = ( apply @ ( apply @ X @ Y ) @ Y ))).
% 85.04/12.88 thf(zip_derived_cl1, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 85.04/12.88 inference('cnf', [status(esa)], [w_definition])).
% 85.04/12.88 thf(zip_derived_cl1, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 85.04/12.88 inference('cnf', [status(esa)], [w_definition])).
% 85.04/12.88 thf(zip_derived_cl5, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ w) @ X0) = (apply @ (apply @ X0 @ X0) @ X0))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 85.04/12.88 thf(zip_derived_cl1, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 85.04/12.88 inference('cnf', [status(esa)], [w_definition])).
% 85.04/12.88 thf(b_definition, axiom,
% 85.04/12.88 (( apply @ ( apply @ ( apply @ b @ X ) @ Y ) @ Z ) =
% 85.04/12.88 ( apply @ X @ ( apply @ Y @ Z ) ))).
% 85.04/12.88 thf(zip_derived_cl0, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.04/12.88 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 85.04/12.88 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 85.04/12.88 inference('cnf', [status(esa)], [b_definition])).
% 85.04/12.88 thf(zip_derived_cl13, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ (apply @ b @ X1)) @ X0)
% 85.04/12.88 = (apply @ X1 @ (apply @ X0 @ X0)))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 85.04/12.88 thf(zip_derived_cl0, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.04/12.88 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 85.04/12.88 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 85.04/12.88 inference('cnf', [status(esa)], [b_definition])).
% 85.04/12.88 thf(zip_derived_cl36, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.04/12.88 ((apply @
% 85.04/12.88 (apply @ (apply @ w @ (apply @ b @ (apply @ b @ X1))) @ X0) @ X2)
% 85.04/12.88 = (apply @ X1 @ (apply @ (apply @ X0 @ X0) @ X2)))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 85.04/12.88 thf(zip_derived_cl4771, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @
% 85.04/12.88 (apply @ (apply @ w @ (apply @ b @ (apply @ b @ X1))) @ X0) @ X0)
% 85.04/12.88 = (apply @ X1 @ (apply @ (apply @ w @ w) @ X0)))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl36])).
% 85.04/12.88 thf(zip_derived_cl1, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 85.04/12.88 inference('cnf', [status(esa)], [w_definition])).
% 85.04/12.88 thf(zip_derived_cl1, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ X0) @ X1) = (apply @ (apply @ X0 @ X1) @ X1))),
% 85.04/12.88 inference('cnf', [status(esa)], [w_definition])).
% 85.04/12.88 thf(zip_derived_cl4, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ (apply @ X1 @ X0)) @ X0)
% 85.04/12.88 = (apply @ (apply @ (apply @ w @ X1) @ X0) @ X0))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 85.04/12.88 thf(zip_derived_cl17836, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @
% 85.04/12.88 (apply @ w @ (apply @ (apply @ b @ (apply @ b @ X1)) @ X0)) @ X0)
% 85.04/12.88 = (apply @ X1 @ (apply @ (apply @ w @ w) @ X0)))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl4771, zip_derived_cl4])).
% 85.04/12.88 thf(zip_derived_cl0, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.04/12.88 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 85.04/12.88 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 85.04/12.88 inference('cnf', [status(esa)], [b_definition])).
% 85.04/12.88 thf(zip_derived_cl5, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ w) @ X0) = (apply @ (apply @ X0 @ X0) @ X0))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 85.04/12.88 thf(zip_derived_cl21, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ w) @ (apply @ (apply @ b @ X1) @ X0))
% 85.04/12.88 = (apply @
% 85.04/12.88 (apply @ X1 @ (apply @ X0 @ (apply @ (apply @ b @ X1) @ X0))) @
% 85.04/12.88 (apply @ (apply @ b @ X1) @ X0)))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 85.04/12.88 thf(zip_derived_cl25179, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ (apply @ w @ w) @
% 85.04/12.88 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0))))
% 85.04/12.88 = (apply @ X0 @
% 85.04/12.88 (apply @ (apply @ w @ w) @
% 85.04/12.88 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0))))))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl17836, zip_derived_cl21])).
% 85.04/12.88 thf(strong_fixed_point, axiom,
% 85.04/12.88 (( strong_fixed_point ) =
% 85.04/12.88 ( apply @
% 85.04/12.88 ( apply @
% 85.04/12.88 b @
% 85.04/12.88 ( apply @
% 85.04/12.88 ( apply @
% 85.04/12.88 b @
% 85.04/12.88 ( apply @ ( apply @ b @ ( apply @ w @ w ) ) @ ( apply @ b @ w ) ) ) @
% 85.04/12.88 b ) ) @
% 85.04/12.88 b ))).
% 85.04/12.88 thf(zip_derived_cl2, plain,
% 85.04/12.88 (((strong_fixed_point)
% 85.04/12.88 = (apply @
% 85.04/12.88 (apply @ b @
% 85.04/12.88 (apply @
% 85.04/12.88 (apply @ b @
% 85.04/12.88 (apply @ (apply @ b @ (apply @ w @ w)) @ (apply @ b @ w))) @
% 85.04/12.88 b)) @
% 85.04/12.88 b))),
% 85.04/12.88 inference('cnf', [status(esa)], [strong_fixed_point])).
% 85.04/12.88 thf(zip_derived_cl0, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.04/12.88 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 85.04/12.88 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 85.04/12.88 inference('cnf', [status(esa)], [b_definition])).
% 85.04/12.88 thf(zip_derived_cl15, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ strong_fixed_point @ X0)
% 85.04/12.88 = (apply @
% 85.04/12.88 (apply @
% 85.04/12.88 (apply @ b @
% 85.04/12.88 (apply @ (apply @ b @ (apply @ w @ w)) @ (apply @ b @ w))) @
% 85.04/12.88 b) @
% 85.04/12.88 (apply @ b @ X0)))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 85.04/12.88 thf(zip_derived_cl0, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.04/12.88 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 85.04/12.88 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 85.04/12.88 inference('cnf', [status(esa)], [b_definition])).
% 85.04/12.88 thf(zip_derived_cl556, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ strong_fixed_point @ X0)
% 85.04/12.88 = (apply @
% 85.04/12.88 (apply @ (apply @ b @ (apply @ w @ w)) @ (apply @ b @ w)) @
% 85.04/12.88 (apply @ b @ (apply @ b @ X0))))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 85.04/12.88 thf(zip_derived_cl0, plain,
% 85.04/12.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.04/12.88 ((apply @ (apply @ (apply @ b @ X0) @ X1) @ X2)
% 85.04/12.88 = (apply @ X0 @ (apply @ X1 @ X2)))),
% 85.04/12.88 inference('cnf', [status(esa)], [b_definition])).
% 85.04/12.88 thf(zip_derived_cl8315, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ strong_fixed_point @ X0)
% 85.04/12.88 = (apply @ (apply @ w @ w) @
% 85.04/12.88 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0)))))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl556, zip_derived_cl0])).
% 85.04/12.88 thf(zip_derived_cl8315, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ strong_fixed_point @ X0)
% 85.04/12.88 = (apply @ (apply @ w @ w) @
% 85.04/12.88 (apply @ (apply @ b @ w) @ (apply @ b @ (apply @ b @ X0)))))),
% 85.04/12.88 inference('sup+', [status(thm)], [zip_derived_cl556, zip_derived_cl0])).
% 85.04/12.88 thf(zip_derived_cl25254, plain,
% 85.04/12.88 (![X0 : $i]:
% 85.04/12.88 ((apply @ strong_fixed_point @ X0)
% 85.04/12.88 = (apply @ X0 @ (apply @ strong_fixed_point @ X0)))),
% 85.04/12.88 inference('demod', [status(thm)],
% 85.04/12.88 [zip_derived_cl25179, zip_derived_cl8315, zip_derived_cl8315])).
% 85.04/12.88 thf(zip_derived_cl25256, plain,
% 85.04/12.88 (((apply @ strong_fixed_point @ fixed_pt)
% 85.04/12.88 != (apply @ strong_fixed_point @ fixed_pt))),
% 85.04/12.88 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl25254])).
% 85.04/12.88 thf(zip_derived_cl25257, plain, ($false),
% 85.04/12.88 inference('simplify', [status(thm)], [zip_derived_cl25256])).
% 85.04/12.88
% 85.04/12.88 % SZS output end Refutation
% 85.04/12.88
% 85.04/12.88
% 85.04/12.88 % Terminating...
% 85.58/12.98 % Runner terminated.
% 85.58/12.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------