0.00/0.03 YES 0.00/0.03 (ignored inputs)COMMENT doi:10.1007/3-540-58216-9_40 [45] Example 2.1 ( a ) submitted by: Thomas Sternagel 0.00/0.03 Conditional Rewrite Rules: 0.00/0.03 [ f(cons(?x,nil)) -> pair(?x,nil), 0.00/0.03 f(cons(?x,cons(?y,?l))) -> pair(?z,cons(?x,?l1)) | f(cons(?y,?l)) == pair(?z,?l1) ] 0.00/0.03 Check whether all rules are type 3 0.00/0.03 OK 0.00/0.03 Check whether the input is deterministic 0.00/0.03 OK 0.00/0.03 Result of unraveling: 0.00/0.03 [ f(cons(?x,nil)) -> pair(?x,nil), 0.00/0.03 f(cons(?x,cons(?y,?l))) -> U0(f(cons(?y,?l)),?l,?x,?y), 0.00/0.03 U0(pair(?z,?l1),?l,?x,?y) -> pair(?z,cons(?x,?l1)) ] 0.00/0.03 Check whether U(R) is terminating 0.00/0.03 OK 0.00/0.03 Check whether the input is weakly left-linear 0.00/0.03 OK 0.00/0.03 Check whether U(R) is confluent 0.00/0.03 OK 0.00/0.03 R is deterministic, weakly left-linear and U(R) is confluent 0.00/0.03 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Success(CR) 0.00/0.03 (4 msec.) 0.00/0.03 EOF