0.00/0.02 NO 0.00/0.02 (ignored inputs)COMMENT [75] Example 43 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ f(?x) -> A | s(?x) == t, 0.00/0.02 f(?x) -> B | s(?x) == t, 0.00/0.02 s(a) -> t, 0.00/0.02 s(b) -> t, 0.00/0.02 a -> c, 0.00/0.02 b -> c, 0.00/0.02 g(?x,?x) -> h(?x,?x) ] 0.00/0.02 Check whether all rules are type 3 0.00/0.02 OK 0.00/0.02 Check whether the input is deterministic 0.00/0.02 OK 0.00/0.02 Result of unraveling: 0.00/0.02 [ f(?x) -> U1(s(?x),?x), 0.00/0.02 U1(t,?x) -> A, 0.00/0.02 U1(t,?x) -> B, 0.00/0.02 s(a) -> t, 0.00/0.02 s(b) -> t, 0.00/0.02 a -> c, 0.00/0.02 b -> c, 0.00/0.02 g(?x,?x) -> h(?x,?x) ] 0.00/0.02 Check whether U(R) is terminating 0.00/0.02 OK 0.00/0.02 Check whether the input is weakly left-linear 0.00/0.02 not weakly left-linear 0.00/0.02 Check whether U(R) is confluent 0.00/0.02 U(R) is not confluent 0.00/0.02 Conditional critical pairs (CCPs): 0.00/0.02 [ B = A | s(?x_1) == t,s(?x_1) == t, 0.00/0.02 A = B | s(?x) == t,s(?x) == t, 0.00/0.02 s(c) = t, 0.00/0.02 s(c) = t ] 0.00/0.02 Check whether the input is almost orthogonale 0.00/0.02 not almost orthogonal 0.00/0.02 not weakly left-linear 0.00/0.02 Check whether the input is absolutely irreducible 0.00/0.02 OK 0.00/0.02 Check whether all CCPs are joinable 0.00/0.02 Some ccp may be feasible but not joinable 0.00/0.02 [ B = A | s(?x_1) == t,s(?x_1) == t, 0.00/0.02 A = B | s(?x) == t,s(?x) == t, 0.00/0.02 s(c) = t, 0.00/0.02 s(c) = t ] 0.00/0.02 A feasible but not joinable CCP: s(c) = t 0.00/0.02 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(not CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF