0.00/0.02 YES 0.00/0.02 (ignored inputs)COMMENT [75] Example 32 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ a -> b, 0.00/0.02 f(?x) -> A | ?x == b, 0.00/0.02 g(?x,?x) -> h(?x), 0.00/0.02 h(?x) -> i(?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 -> b, 0.00/0.02 f(?x) -> U0(?x,?x), 0.00/0.02 U0(b,?x) -> A, 0.00/0.02 g(?x,?x) -> h(?x), 0.00/0.02 h(?x) -> i(?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 OK 0.00/0.02 Conditional critical pairs (CCPs): 0.00/0.02 [ ] 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 OK 0.00/0.02 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF