YES

TRS:

  f(0()) -> s(0())
  f(s(0())) -> s(s(0()))
  f(s(0())) -> *(s(s(0())),f(0()))
  f(+(x,s(0()))) -> +(s(s(0())),f(x))
  f(+(x,y)) -> *(f(x),f(y))

max/plus interpretations on N:

  f_A(x1) = max{8, 17 + x1}
  f#_A(x1) = max{7, -5 + x1}
  0_A = 14
  0#_A = 8
  s_A(x1) = max{15, -2}
  s#_A(x1) = max{0, 1}
  *_A(x1,x2) = max{32, 17 + x1, -26 + x2}
  *#_A(x1,x2) = max{6, -11 + x1, -49 + x2}
  +_A(x1,x2) = max{7, 27 + x1, -26 + x2}
  +#_A(x1,x2) = max{14, 5, -4 + x2}

precedence:

  f > + > 0 > s > *