MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(f(a(),a()),x) -> f#(a(),f(a(),a()))
   f#(f(a(),a()),x) -> f#(f(a(),f(a(),a())),a())
   f#(f(a(),a()),x) -> f#(x,f(f(a(),f(a(),a())),a()))
  TRS:
   f(f(a(),a()),x) -> f(x,f(f(a(),f(a(),a())),a()))
  ADG Processor:
   DPs:
    f#(f(a(),a()),x) -> f#(a(),f(a(),a()))
    f#(f(a(),a()),x) -> f#(f(a(),f(a(),a())),a())
    f#(f(a(),a()),x) -> f#(x,f(f(a(),f(a(),a())),a()))
   TRS:
    f(f(a(),a()),x) -> f(x,f(f(a(),f(a(),a())),a()))
   graph:
    f#(f(a(),a()),x) -> f#(x,f(f(a(),f(a(),a())),a())) ->
    f#(f(a(),a()),x) -> f#(a(),f(a(),a()))
    f#(f(a(),a()),x) -> f#(x,f(f(a(),f(a(),a())),a())) ->
    f#(f(a(),a()),x) -> f#(f(a(),f(a(),a())),a())
    f#(f(a(),a()),x) -> f#(x,f(f(a(),f(a(),a())),a())) ->
    f#(f(a(),a()),x) -> f#(x,f(f(a(),f(a(),a())),a()))
   SCC Processor:
    #sccs: 1
    #rules: 1
    #arcs: 3/9
    DPs:
     f#(f(a(),a()),x) -> f#(x,f(f(a(),f(a(),a())),a()))
    TRS:
     f(f(a(),a()),x) -> f(x,f(f(a(),f(a(),a())),a()))
    Open