0.00/0.02 NO 0.00/0.02 (ignored inputs)COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 4.8 ( R_8 ) submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ f(?x) -> c(?x,?y) | g(?x) == ?y,?y == h(?x), 0.00/0.02 a -> b, 0.00/0.02 g(a) -> h(b) ] 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 [ f(?x) -> U0(g(?x),?x), 0.00/0.02 U0(?y,?x) -> U1(?y,?x,?y), 0.00/0.02 U1(h(?x),?x,?y) -> c(?x,?y), 0.00/0.02 a -> b, 0.00/0.02 g(a) -> h(b) ] 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 [ g(b) = h(b) ] 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 [ g(b) = h(b) ] 0.00/0.02 A feasible but not joinable CCP: g(b) = h(b) 0.00/0.02 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(not CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF