0.00/0.34 MAYBE 0.00/0.34 (ignored inputs)COMMENT doi:10.1007/3-540-60381-6_19 [71] Example 4 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.34 Conditional Rewrite Rules: 0.00/0.34 [ f(?x',?x'') -> h(?x,f(?x,b)) | ?x' == ?x,?x'' == ?x, 0.00/0.34 f(g(?y'),?y'') -> h(?y,f(g(?y),a)) | ?y' == ?y,?y'' == ?y, 0.00/0.34 a -> b ] 0.00/0.34 Check whether all rules are type 3 0.00/0.34 OK 0.00/0.34 Check whether the input is deterministic 0.00/0.34 OK 0.00/0.34 Result of unraveling: 0.00/0.34 [ f(?x',?x'') -> U0(?x',?x',?x''), 0.00/0.34 U0(?x,?x',?x'') -> U1(?x'',?x',?x'',?x), 0.00/0.34 U1(?x,?x',?x'',?x) -> h(?x,f(?x,b)), 0.00/0.34 f(g(?y'),?y'') -> U2(?y',?y',?y''), 0.00/0.34 U2(?y,?y',?y'') -> U3(?y'',?y',?y'',?y), 0.00/0.34 U3(?y,?y',?y'',?y) -> h(?y,f(g(?y),a)), 0.00/0.34 a -> b ] 0.00/0.34 Check whether U(R) is terminating 0.00/0.34 failed to show termination 0.00/0.34 Check whether the input is weakly left-linear 0.00/0.34 not weakly left-linear 0.00/0.34 Conditional critical pairs (CCPs): 0.00/0.34 [ h(?y_1,f(g(?y_1),a)) = h(?x,f(?x,b)) | ?y'_1 == ?y_1,?y''_1 == ?y_1,g(?y'_1) == ?x,?y''_1 == ?x, 0.00/0.34 h(?x,f(?x,b)) = h(?y_1,f(g(?y_1),a)) | g(?y'_1) == ?x,?x'' == ?x,?y'_1 == ?y_1,?x'' == ?y_1 ] 0.00/0.34 Check whether the input is almost orthogonale 0.00/0.34 not almost orthogonal 0.00/0.34 not weakly left-linear 0.00/0.34 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Failure(unknown CR) 0.00/0.34 (353 msec.) 0.00/0.34 EOF