YES
O(n)
TRS:
 {app(app(app(compose(), f), g), x) -> app(f, app(g, x))}
 DUP: We consider a non-duplicating system.
  Trs:
   {app(app(app(compose(), f), g), x) -> app(f, app(g, x))}
  BOUND:
   Automaton:
    {
     compose_0() -> 3,
     app_1(4, 4) -> 4 | 2,
     app_1(4, 3) -> 4,
     app_1(4, 2) -> 4 | 2,
     app_1(3, 4) -> 4 | 2,
     app_1(3, 3) -> 4,
     app_1(3, 2) -> 4,
     app_1(2, 4) -> 4 | 2,
     app_1(2, 3) -> 4,
     app_1(2, 2) -> 4 | 2,
     app_0(3, 3) -> 2,
     app_0(3, 2) -> 2,
     app_0(2, 3) -> 2,
     app_0(2, 2) -> 2
    }
   Strict:
    {}
   Qed