0.00/0.03 MAYBE 0.00/0.03 (ignored inputs)COMMENT [75] Example 2 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.03 Conditional Rewrite Rules: 0.00/0.03 [ s(p(?x)) -> ?x, 0.00/0.03 p(s(?x)) -> ?x, 0.00/0.03 pos(0) -> false, 0.00/0.03 pos(s(0)) -> true, 0.00/0.03 pos(s(?x)) -> true | pos(?x) == true, 0.00/0.03 pos(p(?x)) -> false | pos(?x) == false ] 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 [ s(p(?x)) -> ?x, 0.00/0.03 p(s(?x)) -> ?x, 0.00/0.03 pos(0) -> false, 0.00/0.03 pos(s(0)) -> true, 0.00/0.03 pos(s(?x)) -> U0(pos(?x),?x), 0.00/0.03 U0(true,?x) -> true, 0.00/0.03 pos(p(?x)) -> U1(pos(?x),?x), 0.00/0.03 U1(false,?x) -> false ] 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 [ s(?x_1) = s(?x_1), 0.00/0.03 p(?x) = p(?x), 0.00/0.03 true = true | pos(0) == true, 0.00/0.03 pos(?x) = true | pos(p(?x)) == true, 0.00/0.03 true = true | pos(0) == true, 0.00/0.03 pos(?x_1) = false | pos(s(?x_1)) == false ] 0.00/0.03 Check whether the input is almost orthogonale 0.00/0.03 not almost orthogonal 0.00/0.03 OK 0.00/0.03 Check whether the input is absolutely irreducible 0.00/0.03 OK 0.00/0.03 Check whether all CCPs are joinable 0.00/0.03 Some ccp may be feasible but not joinable 0.00/0.03 [ pos(?x) = true | pos(p(?x)) == true, 0.00/0.03 pos(?x_1) = false | pos(s(?x_1)) == false ] 0.00/0.03 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Failure(unknown CR) 0.00/0.03 (4 msec.) 0.00/0.03 EOF