0.00/0.03 YES 0.00/0.03 (ignored inputs)COMMENT doi:10.1007/978-3-540-31959-7_13 [67] Example 1 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.03 Conditional Rewrite Rules: 0.00/0.03 [ even(0) -> true, 0.00/0.03 even(s(?x)) -> false | odd(?x) == false, 0.00/0.03 even(s(?x)) -> true | odd(?x) == true, 0.00/0.03 odd(0) -> false, 0.00/0.03 odd(s(?x)) -> false | even(?x) == false, 0.00/0.03 odd(s(?x)) -> true | even(?x) == true ] 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 [ even(0) -> true, 0.00/0.03 even(s(?x)) -> U1(odd(?x),?x), 0.00/0.03 U1(false,?x) -> false, 0.00/0.03 U1(true,?x) -> true, 0.00/0.03 odd(0) -> false, 0.00/0.03 odd(s(?x)) -> U3(even(?x),?x), 0.00/0.03 U3(false,?x) -> false, 0.00/0.03 U3(true,?x) -> true ] 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 (3 msec.) 0.00/0.03 EOF