YES

TRS:

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

max/plus interpretations on N:

  *_A(x1,x2) = max{1, -3, 1 + x2}
  *#_A(x1,x2) = max{1, 1, 0}
  +_A(x1,x2) = max{2, 3 + x1, 4 + x2}
  +#_A(x1,x2) = max{1, 1, 1}

precedence:

  * > +