MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(x,f(y,a())) -> f#(a(),x)
   f#(x,f(y,a())) -> f#(f(a(),x),y)
   f#(x,f(y,a())) -> f#(f(f(a(),x),y),a())
   f#(x,f(y,a())) -> f#(f(f(f(a(),x),y),a()),h(a()))
  TRS:
   f(x,f(y,a())) -> f(f(f(f(a(),x),y),a()),h(a()))
  EDG Processor:
   DPs:
    f#(x,f(y,a())) -> f#(a(),x)
    f#(x,f(y,a())) -> f#(f(a(),x),y)
    f#(x,f(y,a())) -> f#(f(f(a(),x),y),a())
    f#(x,f(y,a())) -> f#(f(f(f(a(),x),y),a()),h(a()))
   TRS:
    f(x,f(y,a())) -> f(f(f(f(a(),x),y),a()),h(a()))
   graph:
    f#(x,f(y,a())) -> f#(f(a(),x),y) -> f#(x,f(y,a())) -> f#(a(),x)
    f#(x,f(y,a())) -> f#(f(a(),x),y) ->
    f#(x,f(y,a())) -> f#(f(a(),x),y)
    f#(x,f(y,a())) -> f#(f(a(),x),y) ->
    f#(x,f(y,a())) -> f#(f(f(a(),x),y),a())
    f#(x,f(y,a())) -> f#(f(a(),x),y) ->
    f#(x,f(y,a())) -> f#(f(f(f(a(),x),y),a()),h(a()))
    f#(x,f(y,a())) -> f#(a(),x) -> f#(x,f(y,a())) -> f#(a(),x)
    f#(x,f(y,a())) -> f#(a(),x) -> f#(x,f(y,a())) -> f#(f(a(),x),y)
    f#(x,f(y,a())) -> f#(a(),x) ->
    f#(x,f(y,a())) -> f#(f(f(a(),x),y),a())
    f#(x,f(y,a())) -> f#(a(),x) -> f#(x,f(y,a())) -> f#(f(f(f(a(),x),y),a()),h(a()))
   SCC Processor:
    #sccs: 1
    #rules: 2
    #arcs: 8/16
    DPs:
     f#(x,f(y,a())) -> f#(f(a(),x),y)
     f#(x,f(y,a())) -> f#(a(),x)
    TRS:
     f(x,f(y,a())) -> f(f(f(f(a(),x),y),a()),h(a()))
    Open