YES(?,O(n^1))
TRS:
 {f(a(), b()) -> f(a(), c()),
  f(c(), d()) -> f(b(), d())}
 DUP: We consider a non-duplicating system.
  Trs:
   {f(a(), b()) -> f(a(), c()),
    f(c(), d()) -> f(b(), d())}
  BOUND:
   Bound: match(-raise)-bounded by 1
   Automaton:
    {
         d_1() -> 3*
         d_0() -> 1*
         b_1() -> 2*
         b_0() -> 1*
         c_1() -> 3*
         c_0() -> 1*
         a_1() -> 2*
         a_0() -> 1*
     f_1(2, 3) -> 1*
     f_0(1, 1) -> 1*
    }
   Strict:
    {}
   Qed