YES
Trs:
 {app(app(app(compose(), f), g), x) -> app(f, app(g, x))}
 Comment:
  We consider a non-duplicating trs.
  BOUND:
   Automaton:
    {  compose_0() -> q3,
     app_1(q4, q4) -> q4 | q2,
     app_1(q4, q3) -> q4,
     app_1(q4, q2) -> q4 | q2,
     app_1(q3, q4) -> q4 | q2,
     app_1(q3, q3) -> q4,
     app_1(q3, q2) -> q4,
     app_1(q2, q4) -> q4 | q2,
     app_1(q2, q3) -> q4,
     app_1(q2, q2) -> q4 | q2,
     app_0(q3, q3) -> q2,
     app_0(q3, q2) -> q2,
     app_0(q2, q3) -> q2,
     app_0(q2, q2) -> q2}
   Strict:
   {}
   Qed