0.00/0.05 NO 0.00/0.05 (ignored inputs)COMMENT [75] Example 31 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.05 Conditional Rewrite Rules: 0.00/0.05 [ a -> c, 0.00/0.05 a -> d, 0.00/0.05 f(?x,?y) -> ?z | c == ?x,?y == ?z ] 0.00/0.05 Check whether all rules are type 3 0.00/0.05 OK 0.00/0.05 Check whether the input is deterministic 0.00/0.05 OK 0.00/0.05 Result of unraveling: 0.00/0.05 [ a -> c, 0.00/0.05 a -> d, 0.00/0.05 f(?x,?y) -> U0(c,?x,?y), 0.00/0.05 U0(?x,?x,?y) -> U1(?y,?y,?x), 0.00/0.05 U1(?z,?y,?x) -> ?z ] 0.00/0.05 Check whether U(R) is terminating 0.00/0.05 OK 0.00/0.05 Check whether the input is weakly left-linear 0.00/0.05 OK 0.00/0.05 Check whether U(R) is confluent 0.00/0.05 U(R) is not confluent 0.00/0.05 Conditional critical pairs (CCPs): 0.00/0.05 [ d = c, 0.00/0.05 c = d ] 0.00/0.05 Check whether the input is almost orthogonale 0.00/0.05 not almost orthogonal 0.00/0.05 OK 0.00/0.05 Check whether the input is absolutely irreducible 0.00/0.05 OK 0.00/0.05 Check whether all CCPs are joinable 0.00/0.05 Some ccp may be feasible but not joinable 0.00/0.05 [ d = c, 0.00/0.05 c = d ] 0.00/0.05 A feasible but not joinable CCP: d = c 0.00/0.05 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(not CR) 0.00/0.05 (0 msec.) 0.00/0.05 EOF