MAYBE
Trs:
 { min(s(X), s(Y)) -> min(X, Y),
       min(X, 0()) -> X,
   quot(0(), s(Y)) -> 0(),
  quot(s(X), s(Y)) -> s(quot(min(X, Y), s(Y))),
       log(s(0())) -> 0(),
      log(s(s(X))) -> s(log(s(quot(X, s(s(0()))))))}
 Comment:
  We consider a duplicating trs.
  FAIL:
   Open