0.00/0.09 NO 0.00/0.09 (ignored inputs)COMMENT doi:10.1016/0022-0000 ( 86 ) 90033-4 [47] p. 352 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.09 Conditional Rewrite Rules: 0.00/0.09 [ p(q(?x)) -> p(r(?x)), 0.00/0.09 q(h(?x)) -> r(?x), 0.00/0.09 r(?x) -> r(h(?x)) | s(?x) == 0, 0.00/0.09 s(?x) -> 1 ] 0.00/0.09 Check whether all rules are type 3 0.00/0.09 OK 0.00/0.09 Check whether the input is deterministic 0.00/0.09 OK 0.00/0.09 Result of unraveling: 0.00/0.09 [ p(q(?x)) -> p(r(?x)), 0.00/0.09 q(h(?x)) -> r(?x), 0.00/0.09 r(?x) -> U0(s(?x),?x), 0.00/0.09 U0(0,?x) -> r(h(?x)), 0.00/0.09 s(?x) -> 1 ] 0.00/0.09 Check whether U(R) is terminating 0.00/0.09 OK 0.00/0.09 Check whether the input is weakly left-linear 0.00/0.09 OK 0.00/0.09 Check whether U(R) is confluent 0.00/0.09 U(R) is not confluent 0.00/0.09 Conditional critical pairs (CCPs): 0.00/0.09 [ p(r(?x_1)) = p(r(h(?x_1))) ] 0.00/0.09 Check whether the input is almost orthogonale 0.00/0.09 not almost orthogonal 0.00/0.09 OK 0.00/0.09 Check whether the input is absolutely irreducible 0.00/0.09 OK 0.00/0.09 Check whether all CCPs are joinable 0.00/0.09 Some ccp may be feasible but not joinable 0.00/0.09 [ p(r(?x_1)) = p(r(h(?x_1))) ] 0.00/0.09 A feasible but not joinable CCP: p(r(?x_1)) = p(r(h(?x_1))) 0.00/0.09 /export/starexec/sandbox/benchmark/theBenchmark.trs: Success(not CR) 0.00/0.09 (27 msec.) 0.00/0.09 EOF