0.00/0.04 NO 0.00/0.04 (ignored inputs)COMMENT [75] Example 6 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.04 Conditional Rewrite Rules: 0.00/0.04 [ a -> c, 0.00/0.04 a -> d, 0.00/0.04 s(c) -> t(k), 0.00/0.04 f(?x) -> ?z | s(?x) == t(?z) ] 0.00/0.04 Check whether all rules are type 3 0.00/0.04 OK 0.00/0.04 Check whether the input is deterministic 0.00/0.04 OK 0.00/0.04 Result of unraveling: 0.00/0.04 [ a -> c, 0.00/0.04 a -> d, 0.00/0.04 s(c) -> t(k), 0.00/0.04 f(?x) -> U0(s(?x),?x), 0.00/0.04 U0(t(?z),?x) -> ?z ] 0.00/0.04 Check whether U(R) is terminating 0.00/0.04 OK 0.00/0.04 Check whether the input is weakly left-linear 0.00/0.04 OK 0.00/0.04 Check whether U(R) is confluent 0.00/0.04 U(R) is not confluent 0.00/0.04 Conditional critical pairs (CCPs): 0.00/0.04 [ d = c, 0.00/0.04 c = d ] 0.00/0.04 Check whether the input is almost orthogonale 0.00/0.04 not almost orthogonal 0.00/0.04 OK 0.00/0.04 Check whether the input is absolutely irreducible 0.00/0.04 OK 0.00/0.04 Check whether all CCPs are joinable 0.00/0.04 Some ccp may be feasible but not joinable 0.00/0.04 [ d = c, 0.00/0.04 c = d ] 0.00/0.04 A feasible but not joinable CCP: d = c 0.00/0.04 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(not CR) 0.00/0.04 (0 msec.) 0.00/0.05 EOF