MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(x,f(a(),y)) -> f#(a(),a())
   f#(x,f(a(),y)) -> f#(f(a(),a()),a())
   f#(x,f(a(),y)) -> f#(y,f(f(a(),a()),a()))
   f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x)
  TRS:
   f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),x)
  Usable Rule Processor:
   DPs:
    f#(x,f(a(),y)) -> f#(a(),a())
    f#(x,f(a(),y)) -> f#(f(a(),a()),a())
    f#(x,f(a(),y)) -> f#(y,f(f(a(),a()),a()))
    f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x)
   TRS:
    
   Restore Modifier:
    DPs:
     f#(x,f(a(),y)) -> f#(a(),a())
     f#(x,f(a(),y)) -> f#(f(a(),a()),a())
     f#(x,f(a(),y)) -> f#(y,f(f(a(),a()),a()))
     f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x)
    TRS:
     f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),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()),a())
      f#(x,f(a(),y)) -> f#(y,f(f(a(),a()),a()))
      f#(x,f(a(),y)) -> f#(f(y,f(f(a(),a()),a())),x)
     TRS:
      f(x,f(a(),y)) -> f(f(y,f(f(a(),a()),a())),x)
     Open