YES

TRS:

  minus(minus(x)) -> x
  minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
  minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
  f(minus(x)) -> minus(minus(minus(f(x))))

max/plus interpretations on N:

  minus_A(x1) = max{2, x1}
  minus#_A(x1) = max{2, x1}
  +_A(x1,x2) = max{8, 3 + x1, 6 + x2}
  +#_A(x1,x2) = max{8, 3 + x1, 6 + x2}
  *_A(x1,x2) = max{8, 3 + x1, 6 + x2}
  *#_A(x1,x2) = max{8, 3 + x1, 6 + x2}
  f_A(x1) = max{3, 1 + x1}
  f#_A(x1) = max{3, 1 + x1}

precedence:

  f > minus > * > +