YES
(ignored inputs)COMMENT doi:10.4230/LIPIcs.FSCD.2016.33 [36] Example 11 submitted by: Takahito Aoto
Rewrite Rules:
   [ +(0,?y) -> ?y,
     +(s(0),?y) -> s(?y),
     s(s(?x)) -> ?x ]
Apply Direct Methods...
Inner CPs:
   [ s(?x) = s(?x) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR

Combined result: CR
572.trs: Success(CR)
(0 msec.)