YES

1 decompositions
 #0 -----------
   1: -(0(),0()) -> 0()
   2: -(s(x),0()) -> s(x)
   3: -(x,s(y)) -> -(d(x),y)
   4: d(s(x)) -> x
   5: -(s(x),s(y)) -> -(x,y)
   6: -(d(x),y) -> -(x,s(y))

@Strongly Commuting
--- R
   1: -(0(),0()) -> 0()
   2: -(s(x),0()) -> s(x)
   3: -(x,s(y)) -> -(d(x),y)
   4: d(s(x)) -> x
   5: -(s(x),s(y)) -> -(x,y)
   6: -(d(x),y) -> -(x,s(y))

--- S
   1: -(0(),0()) -> 0()
   2: -(s(x),0()) -> s(x)
   3: -(x,s(y)) -> -(d(x),y)
   4: d(s(x)) -> x
   5: -(s(x),s(y)) -> -(x,y)
   6: -(d(x),y) -> -(x,s(y))