MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(a(),f(a(),f(a(),f(x,b())))) -> f#(a(),x)
   f#(a(),f(a(),f(a(),f(x,b())))) -> f#(a(),f(a(),x))
   f#(a(),f(a(),f(a(),f(x,b())))) -> f#(a(),f(a(),f(a(),x)))
   f#(a(),f(a(),f(a(),f(x,b())))) -> f#(f(a(),f(a(),f(a(),x))),b())
   f#(f(f(a(),x),b()),b()) -> f#(x,b())
   f#(f(f(a(),x),b()),b()) -> f#(f(x,b()),b())
   f#(f(f(a(),x),b()),b()) -> f#(a(),f(f(x,b()),b()))
   f#(f(f(a(),x),b()),b()) -> f#(f(a(),f(f(x,b()),b())),b())
  TRS:
   f(a(),f(a(),f(a(),f(x,b())))) -> f(f(a(),f(a(),f(a(),x))),b())
   f(f(f(a(),x),b()),b()) -> f(f(a(),f(f(x,b()),b())),b())
  SCC Processor:
   #sccs: 1
   #rules: 8
   #arcs: 64/64
   DPs:
    f#(a(),f(a(),f(a(),f(x,b())))) -> f#(a(),x)
    f#(a(),f(a(),f(a(),f(x,b())))) -> f#(a(),f(a(),x))
    f#(a(),f(a(),f(a(),f(x,b())))) -> f#(a(),f(a(),f(a(),x)))
    f#(a(),f(a(),f(a(),f(x,b())))) -> f#(f(a(),f(a(),f(a(),x))),b())
    f#(f(f(a(),x),b()),b()) -> f#(x,b())
    f#(f(f(a(),x),b()),b()) -> f#(f(x,b()),b())
    f#(f(f(a(),x),b()),b()) -> f#(a(),f(f(x,b()),b()))
    f#(f(f(a(),x),b()),b()) -> f#(f(a(),f(f(x,b()),b())),b())
   TRS:
    f(a(),f(a(),f(a(),f(x,b())))) -> f(f(a(),f(a(),f(a(),x))),b())
    f(f(f(a(),x),b()),b()) -> f(f(a(),f(f(x,b()),b())),b())
   Open