0.00/0.02 MAYBE 0.00/0.02 (ignored inputs)COMMENT doi:10.1007/3-540-60381-6_19 [71] Example 2 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ f(?x',?x'') -> g(?x) | ?x' == ?x,?x'' == ?x, 0.00/0.02 f(?y',h(?y'')) -> g(?y) | ?y' == ?y,?y'' == ?y ] 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',?x'') -> U0(?x',?x',?x''), 0.00/0.02 U0(?x,?x',?x'') -> U1(?x'',?x',?x'',?x), 0.00/0.02 U1(?x,?x',?x'',?x) -> g(?x), 0.00/0.02 f(?y',h(?y'')) -> U2(?y',?y',?y''), 0.00/0.02 U2(?y,?y',?y'') -> U3(?y'',?y',?y'',?y), 0.00/0.02 U3(?y,?y',?y'',?y) -> g(?y) ] 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 [ g(?y_1) = g(?x) | ?y'_1 == ?y_1,?y''_1 == ?y_1,?y'_1 == ?x,h(?y''_1) == ?x, 0.00/0.02 g(?x) = g(?y_1) | ?x' == ?x,h(?y''_1) == ?x,?x' == ?y_1,?y''_1 == ?y_1 ] 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 [ g(?y_1) = g(?x) | ?y'_1 == ?y_1,?y''_1 == ?y_1,?y'_1 == ?x,h(?y''_1) == ?x, 0.00/0.02 g(?x) = g(?y_1) | ?x' == ?x,h(?y''_1) == ?x,?x' == ?y_1,?y''_1 == ?y_1 ] 0.00/0.02 /export/starexec/sandbox/benchmark/theBenchmark.trs: Failure(unknown CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF