YES

Problem:
 f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x)

Proof:
 DP Processor:
  DPs:
   f#(x,f(y,a())) -> f#(a(),a())
   f#(x,f(y,a())) -> f#(f(a(),a()),y)
   f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a()))
   f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x)
  TRS:
   f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x)
  EDG Processor:
   DPs:
    f#(x,f(y,a())) -> f#(a(),a())
    f#(x,f(y,a())) -> f#(f(a(),a()),y)
    f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a()))
    f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x)
   TRS:
    f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x)
   graph:
    f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) ->
    f#(x,f(y,a())) -> f#(a(),a())
    f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) ->
    f#(x,f(y,a())) -> f#(f(a(),a()),y)
    f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) ->
    f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a()))
    f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) ->
    f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x)
    f#(x,f(y,a())) -> f#(f(a(),a()),y) ->
    f#(x,f(y,a())) -> f#(a(),a())
    f#(x,f(y,a())) -> f#(f(a(),a()),y) ->
    f#(x,f(y,a())) -> f#(f(a(),a()),y)
    f#(x,f(y,a())) -> f#(f(a(),a()),y) ->
    f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a()))
    f#(x,f(y,a())) -> f#(f(a(),a()),y) -> f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x)
   SCC Processor:
    #sccs: 1
    #rules: 2
    #arcs: 8/16
    DPs:
     f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x)
     f#(x,f(y,a())) -> f#(f(a(),a()),y)
    TRS:
     f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x)
    Bounds Processor:
     bound: 2
     enrichment: match
     automaton:
      final states: {6}
      transitions:
       f1(14,16) -> 15*
       f1(15,13) -> 16*
       f1(16,14) -> 15*
       f1(16,16) -> 5*
       f1(14,5) -> 15*
       f1(16,5) -> 5*
       f1(12,12) -> 14*
       a1() -> 12*
       h1(12) -> 13*
       f{#,1}(14,16) -> 6*
       f{#,1}(16,14) -> 6*
       f{#,1}(16,16) -> 6*
       f{#,1}(14,5) -> 6*
       f{#,1}(16,5) -> 6*
       f2(19,12) -> 20*
       f2(21,16) -> 15*
       f2(17,17) -> 19*
       f2(20,18) -> 21*
       f{#,0}(5,5) -> 6*
       a2() -> 17*
       f0(5,5) -> 5*
       h2(17) -> 18*
       a0() -> 5*
       f{#,2}(19,12) -> 6*
       f{#,2}(21,16) -> 6*
       h0(5) -> 5*
     problem:
      DPs:
       
      TRS:
       f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x)
     Qed