0.00/0.02 YES 0.00/0.02 (ignored inputs)COMMENT [68] Example 3.2 doi:10.1007/3-540-59200-8_56 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ f(?x) -> g(?x,?y,?z) | h(a,?x) == i(?y),h(a,?y) == i(?z), 0.00/0.02 h(a,a) -> i(b), 0.00/0.02 h(a,b) -> i(c), 0.00/0.02 h(b,b) -> i(d) ] 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(h(a,?x),?x), 0.00/0.02 U0(i(?y),?x) -> U1(h(a,?y),?x,?y), 0.00/0.02 U1(i(?z),?x,?y) -> g(?x,?y,?z), 0.00/0.02 h(a,a) -> i(b), 0.00/0.02 h(a,b) -> i(c), 0.00/0.02 h(b,b) -> i(d) ] 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 OK 0.00/0.02 Check whether U(R) is confluent 0.00/0.02 OK 0.00/0.02 R is deterministic, weakly left-linear and U(R) is confluent 0.00/0.02 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF