YES
TRS:
 {    f(x, y, z) -> 2(),
  f(0(), 1(), x) -> f(x, x, x),
             0() -> 2(),
             1() -> 2()}
 DP:
  Strict:
   {f#(0(), 1(), x) -> f#(x, x, x)}
  Weak:
  {    f(x, y, z) -> 2(),
   f(0(), 1(), x) -> f(x, x, x),
              0() -> 2(),
              1() -> 2()}
  EDG:
   {}
   SCCS:
    
    Qed