MAYBE
Trs:
 {*(+(x, y), z) -> +(*(x, z), *(y, z)),
      *(1(), y) -> y,
  *(x, +(y, z)) -> +(*(x, y), *(x, z)),
      *(x, 1()) -> x}
 Comment:
  We consider a duplicating trs.
  FAIL:
   Open