MAYBE
Trs:
 {       D(t()) -> 1(),
  D(constant()) -> 0(),
    D(minus(x)) -> minus(D(x)),
   D(div(x, y)) -> -(div(D(x), y), div(*(x, D(y)), pow(y, 2()))),
       D(ln(x)) -> div(D(x), x),
     D(-(x, y)) -> -(D(x), D(y)),
   D(pow(x, y)) -> +(*(*(y, pow(x, -(y, 1()))), D(x)), *(*(pow(x, y), ln(x)), D(y))),
     D(*(x, y)) -> +(*(y, D(x)), *(x, D(y))),
     D(+(x, y)) -> +(D(x), D(y))}
 Comment:
  We consider a duplicating trs.
  FAIL:
   Open