YES

1 decompositions
 #0 -----------
   1: +(x,0()) -> x
   2: +(x,s(y)) -> s(+(x,y))
   3: d(0()) -> 0()
   4: d(s(x)) -> s(s(d(x)))
   5: f(0()) -> 0()
   6: f(s(x)) -> +(+(s(x),s(x)),s(x))
   7: f(g(0())) -> +(+(g(0()),g(0())),g(0()))
   8: g(x) -> s(d(x))

@Parallel Closedness
--- R
   1: +(x,0()) -> x
   2: +(x,s(y)) -> s(+(x,y))
   3: d(0()) -> 0()
   4: d(s(x)) -> s(s(d(x)))
   5: f(0()) -> 0()
   6: f(s(x)) -> +(+(s(x),s(x)),s(x))
   7: f(g(0())) -> +(+(g(0()),g(0())),g(0()))
   8: g(x) -> s(d(x))

--- S
   1: +(x,0()) -> x
   2: +(x,s(y)) -> s(+(x,y))
   3: d(0()) -> 0()
   4: d(s(x)) -> s(s(d(x)))
   5: f(0()) -> 0()
   6: f(s(x)) -> +(+(s(x),s(x)),s(x))
   7: f(g(0())) -> +(+(g(0()),g(0())),g(0()))
   8: g(x) -> s(d(x))