MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(x,f(a(),y)) -> f#(a(),a())
   f#(x,f(a(),y)) -> f#(f(a(),a()),y)
   f#(x,f(a(),y)) -> f#(f(f(a(),a()),y),x)
   f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),a()),y),x))
  TRS:
   f(x,f(a(),y)) -> f(a(),f(f(f(a(),a()),y),x))
  SCC Processor:
   #sccs: 1
   #rules: 4
   #arcs: 16/16
   DPs:
    f#(x,f(a(),y)) -> f#(a(),a())
    f#(x,f(a(),y)) -> f#(f(a(),a()),y)
    f#(x,f(a(),y)) -> f#(f(f(a(),a()),y),x)
    f#(x,f(a(),y)) -> f#(a(),f(f(f(a(),a()),y),x))
   TRS:
    f(x,f(a(),y)) -> f(a(),f(f(f(a(),a()),y),x))
   Open