NO
(ignored inputs)COMMENT reduction failed
Rewrite Rules:
   [ +(0,0) -> 0,
     +(s(0),?y) -> s(+(0,?y)),
     +(?x,s(?y)) -> s(+(?y,?x)),
     s(s(?x)) -> ?x ]
Apply Direct Methods...
Inner CPs:
   [ +(?x_1,?x_2) = s(+(s(?x_2),?x_1)),
     s(?x) = s(?x) ]
Outer CPs:
   [ s(+(0,s(?y_1))) = s(+(?y_1,s(0))) ]
not Overlay, check Termination...
Terminating, not WCR
Knuth & Bendix
Direct Methods: not CR

Combined result: not CR
/tmp/filej5PZCk.trs: Success(not CR)
(6 msec.)