YES

TRS:

  *(x,+(y,z)) -> +(*(x,y),*(x,z))

max/plus interpretations on N:

  *_A(x1,x2) = max{0, x1, x2}
  *#_A(x1,x2) = max{0, x1, x2}
  +_A(x1,x2) = max{0, x1, x2}
  +#_A(x1,x2) = max{0, x1, x2}

precedence:

  * > +