0.00/0.03 YES 0.00/0.03 (ignored inputs)COMMENT [74] Example 2.2 http://www.iaeng.org/IJCS/issues_v40/issue_2/IJCS_40_2_08.pdf 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)) -> true | odd(?x) == true, 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)) -> U0(odd(?x),?x), 0.00/0.03 U0(true,?x) -> true, 0.00/0.03 odd(s(?x)) -> U1(even(?x),?x), 0.00/0.03 U1(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/sandbox/benchmark/theBenchmark.trs: Success(CR) 0.00/0.03 (4 msec.) 0.00/0.03 EOF