0.00/0.02 NO 0.00/0.02 (ignored inputs)COMMENT [75] Example 42 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ a -> c, 0.00/0.02 a -> d, 0.00/0.02 b -> c, 0.00/0.02 b -> d, 0.00/0.02 f(?x) -> ?x | ?x == c, 0.00/0.02 g(?x,?x) -> h(?x,?x), 0.00/0.02 h(?x,f(?x)) -> ?x ] 0.00/0.02 Check whether all rules are type 3 0.00/0.02 OK 0.00/0.02 Check whether the input is deterministic 0.00/0.02 OK 0.00/0.02 Result of unraveling: 0.00/0.02 [ a -> c, 0.00/0.02 a -> d, 0.00/0.02 b -> c, 0.00/0.02 b -> d, 0.00/0.02 f(?x) -> U0(?x,?x), 0.00/0.02 U0(c,?x) -> ?x, 0.00/0.02 g(?x,?x) -> h(?x,?x), 0.00/0.02 h(?x,f(?x)) -> ?x ] 0.00/0.02 Check whether U(R) is terminating 0.00/0.02 OK 0.00/0.02 Check whether the input is weakly left-linear 0.00/0.02 not weakly left-linear 0.00/0.02 Check whether U(R) is confluent 0.00/0.02 U(R) is not confluent 0.00/0.02 Conditional critical pairs (CCPs): 0.00/0.02 [ d = c, 0.00/0.02 c = d, 0.00/0.02 d = c, 0.00/0.02 c = d, 0.00/0.02 h(?x,?x) = ?x | ?x == c ] 0.00/0.02 Check whether the input is almost orthogonale 0.00/0.02 not almost orthogonal 0.00/0.02 not weakly left-linear 0.00/0.02 Check whether the input is absolutely irreducible 0.00/0.02 OK 0.00/0.02 Check whether all CCPs are joinable 0.00/0.02 Some ccp may be feasible but not joinable 0.00/0.02 [ d = c, 0.00/0.02 c = d, 0.00/0.02 d = c, 0.00/0.02 c = d, 0.00/0.02 h(?x,?x) = ?x | ?x == c ] 0.00/0.02 A feasible but not joinable CCP: d = c 0.00/0.02 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Success(not CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF