NO
(ignored inputs)COMMENT doi:10.4230/LIPIcs.FSCD.2016.33 [36] Example 23 submitted by: Takahito Aoto
input TRS:
   [ +(0,?y) -> ?y,
     +(s(?x),?y) -> s(+(?x,?y)),
     +(?x,0) -> +(0,?x),
     +(?x,s(?y)) -> +(s(?y),?x) ]
TRS:
   [ +(0,?y) -> ?y,
     +(s(?x),?y) -> s(+(?x,?y)),
     +(?x,0) -> +(0,?x),
     +(?x,s(?y)) -> +(s(?y),?x) ]
Check distinct normal forms in critical pair closure
convertible distinct normal forms: s(s(+(?y_1,?x))) = s(s(+(?x,?y_1)))
problems/573.trs: Success(not UNC)
(0 msec.)