YES
Time: 0.000424
TRS:
 {   f(x, y) -> x,
  h(x, x, y) -> g x,
       g a() -> h(a(), b(), a()),
         i x -> f(x, x)}
 DP:
  DP:
   {h#(x, x, y) -> g# x,
         g# a() -> h#(a(), b(), a()),
           i# x -> f#(x, x)}
  TRS:
  {   f(x, y) -> x,
   h(x, x, y) -> g x,
        g a() -> h(a(), b(), a()),
          i x -> f(x, x)}
  EDG:
   {(h#(x, x, y) -> g# x, g# a() -> h#(a(), b(), a()))}
   SCCS (0):
    
    Qed