YES

   1: +(x1,0()) -> x1
   2: +(x1,s(x2)) -> s(+(x1,x2))
   3: *(x1,0()) -> 0()
   4: *(x1,s(x2)) -> +(*(x1,x2),x1)
   5: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
   6: +(x1,x2) -> +(x2,x1)

@Jouannaud and Kirchner's criterion
--- R
   1: +(x1,0()) -> x1
   2: +(x1,s(x2)) -> s(+(x1,x2))
   3: *(x1,0()) -> 0()
   4: *(x1,s(x2)) -> +(*(x1,x2),x1)
   5: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
   6: +(x1,x2) -> +(x2,x1)

--- S
   1: +(x1,0()) -> x1
   2: +(x1,s(x2)) -> s(+(x1,x2))
   3: *(x1,0()) -> 0()
   4: *(x1,s(x2)) -> +(*(x1,x2),x1)
   5: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
   6: +(x1,x2) -> +(x2,x1)