YES

Problem:
 app(app(app(compose(),f),g),x) -> app(f,app(g,x))

Proof:
 DP Processor:
  DPs:
   app#(app(app(compose(),f),g),x) -> app#(g,x)
   app#(app(app(compose(),f),g),x) -> app#(f,app(g,x))
  TRS:
   app(app(app(compose(),f),g),x) -> app(f,app(g,x))
  KBO Processor:
   argument filtering:
    pi(compose) = []
    pi(app) = [0,1]
    pi(app#) = [0,1]
   usable rules:
    app(app(app(compose(),f),g),x) -> app(f,app(g,x))
   weight function:
    w0 = 1
    w(app#) = w(compose) = 1
    w(app) = 0
   precedence:
    app ~ compose > app#
   problem:
    DPs:
     
    TRS:
     app(app(app(compose(),f),g),x) -> app(f,app(g,x))
   Qed