0.00/0.03 MAYBE 0.00/0.03 (ignored inputs)COMMENT doi:10.1007/3-540-58216-9_40 [45] Example 4.1.a submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.03 Conditional Rewrite Rules: 0.00/0.03 [ plus(0,?y) -> ?y, 0.00/0.03 plus(s(?x),?y) -> plus(?x,s(?y)), 0.00/0.03 f(?x,?y) -> ?z | plus(?x,?y) == plus(?z,?z') ] 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 [ plus(0,?y) -> ?y, 0.00/0.03 plus(s(?x),?y) -> plus(?x,s(?y)), 0.00/0.03 f(?x,?y) -> U0(plus(?x,?y),?x,?y), 0.00/0.03 U0(plus(?z,?z'),?x,?y) -> ?z ] 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 U(R) is not confluent 0.00/0.03 Conditional critical pairs (CCPs): 0.00/0.03 [ ] 0.00/0.03 Check whether the input is almost orthogonale 0.00/0.03 OK 0.00/0.03 Check whether the input is properly oriented 0.00/0.03 OK 0.00/0.03 Check whether the input is right-stable 0.00/0.03 not right-stable 0.00/0.03 OK 0.00/0.03 Check whether the input is absolutely irreducible 0.00/0.03 not absolutely irreducible 0.00/0.03 /export/starexec/sandbox/benchmark/theBenchmark.trs: Failure(unknown CR) 0.00/0.03 (5 msec.) 0.00/0.03 EOF