NO
(ignored inputs)COMMENT experiments for [36] submitted by: Takahito Aoto
input TRS:
   [ +(0,?y) -> ?y,
     +(s(?x),?y) -> s(+(?x,?y)),
     +(?x,+(?y,?z)) -> +(+(?z,?y),?x),
     s(s(?x)) -> ?x ]
Try persistent and layer-preserving decomposition...
Sort Assignment:
 + : 14*14=>14
 0 : =>14
 s : 14=>14
maximal types: {14}
...decomposition failed.
TRS:
   [ +(0,?y) -> ?y,
     +(s(?x),?y) -> s(+(?x,?y)),
     +(?x,+(?y,?z)) -> +(+(?z,?y),?x),
     s(s(?x)) -> ?x ]
unknown Non-Omega-Overlapping
unknown Right-Reducible
Check distinct normal forms in critical pair closure
convertible distinct normal forms: +(?y_1,?z_1) = +(+(?z_1,?y_1),0)
problems/582.trs: Success(not UNC)
(4 msec.)