MAYBE

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

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