0.00/0.02 YES 0.00/0.02 (ignored inputs)COMMENT doi:10.1007/3-540-60381-6_19 [71] Example 1 submitted by: Thomas Sternagel and Aart Middeldorp 0.00/0.02 Conditional Rewrite Rules: 0.00/0.02 [ f(?x,?x') -> g(?y,?y) | ?x == ?y,?x' == ?y, 0.00/0.02 h(?x,?x',?x'') -> c | ?x == ?y,?x' == ?y,?x'' == ?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(?y,?x,?x') -> U1(?x',?x,?x',?y), 0.00/0.02 U1(?y,?x,?x',?y) -> g(?y,?y), 0.00/0.02 h(?x,?x',?x'') -> U2(?x,?x,?x',?x''), 0.00/0.02 U2(?y,?x,?x',?x'') -> U3(?x',?x,?x',?x'',?y), 0.00/0.02 U3(?y,?x,?x',?x'',?y) -> U4(?x'',?x,?x',?x'',?y), 0.00/0.02 U4(?y,?x,?x',?x'',?y) -> c ] 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 OK 0.00/0.02 Conditional critical pairs (CCPs): 0.00/0.02 [ ] 0.00/0.02 Check whether the input is almost orthogonale 0.00/0.02 OK 0.00/0.02 Check whether the input is properly oriented 0.00/0.02 OK 0.00/0.02 Check whether the input is right-stable 0.00/0.02 not right-stable 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 OK 0.00/0.02 /export/starexec/sandbox2/benchmark/theBenchmark.trs: Success(CR) 0.00/0.02 (0 msec.) 0.00/0.02 EOF