MAYBE

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

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