YES

   3: +(0(),x2) -> x2
   4: +(s(x1),x2) -> s(+(x1,x2))
   5: *(x1,0()) -> 0()
   6: *(x1,s(x2)) -> +(*(x1,x2),x1)
   7: *(0(),x2) -> 0()
   8: *(s(x1),x2) -> +(*(x1,x2),x2)
   9: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
  10: +(x1,x2) -> +(x2,x1)

@Jouannaud and Kirchner's criterion
--- R
   3: +(0(),x2) -> x2
   4: +(s(x1),x2) -> s(+(x1,x2))
   5: *(x1,0()) -> 0()
   6: *(x1,s(x2)) -> +(*(x1,x2),x1)
   7: *(0(),x2) -> 0()
   8: *(s(x1),x2) -> +(*(x1,x2),x2)
   9: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
  10: +(x1,x2) -> +(x2,x1)

--- S
   3: +(0(),x2) -> x2
   4: +(s(x1),x2) -> s(+(x1,x2))
   5: *(x1,0()) -> 0()
   6: *(x1,s(x2)) -> +(*(x1,x2),x1)
   7: *(0(),x2) -> 0()
   8: *(s(x1),x2) -> +(*(x1,x2),x2)
   9: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
  10: +(x1,x2) -> +(x2,x1)


NOTE: input TRS is reduced

original is
   1: +(x1,0()) -> x1
   2: +(x1,s(x2)) -> s(+(x1,x2))
   3: +(0(),x2) -> x2
   4: +(s(x1),x2) -> s(+(x1,x2))
   5: *(x1,0()) -> 0()
   6: *(x1,s(x2)) -> +(*(x1,x2),x1)
   7: *(0(),x2) -> 0()
   8: *(s(x1),x2) -> +(*(x1,x2),x2)
   9: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
  10: +(x1,x2) -> +(x2,x1)

reduced to
   3: +(0(),x2) -> x2
   4: +(s(x1),x2) -> s(+(x1,x2))
   5: *(x1,0()) -> 0()
   6: *(x1,s(x2)) -> +(*(x1,x2),x1)
   7: *(0(),x2) -> 0()
   8: *(s(x1),x2) -> +(*(x1,x2),x2)
   9: +(+(x1,x2),x3) -> +(x1,+(x2,x3))
  10: +(x1,x2) -> +(x2,x1)