MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(x,a(b(y))) -> f#(a(a(b(x))),y)
   f#(a(x),y) -> f#(x,a(y))
   f#(b(x),y) -> f#(x,b(y))
  TRS:
   f(x,a(b(y))) -> f(a(a(b(x))),y)
   f(a(x),y) -> f(x,a(y))
   f(b(x),y) -> f(x,b(y))
  Usable Rule Processor:
   DPs:
    f#(x,a(b(y))) -> f#(a(a(b(x))),y)
    f#(a(x),y) -> f#(x,a(y))
    f#(b(x),y) -> f#(x,b(y))
   TRS:
    
   Restore Modifier:
    DPs:
     f#(x,a(b(y))) -> f#(a(a(b(x))),y)
     f#(a(x),y) -> f#(x,a(y))
     f#(b(x),y) -> f#(x,b(y))
    TRS:
     f(x,a(b(y))) -> f(a(a(b(x))),y)
     f(a(x),y) -> f(x,a(y))
     f(b(x),y) -> f(x,b(y))
    SCC Processor:
     #sccs: 1
     #rules: 3
     #arcs: 9/9
     DPs:
      f#(x,a(b(y))) -> f#(a(a(b(x))),y)
      f#(a(x),y) -> f#(x,a(y))
      f#(b(x),y) -> f#(x,b(y))
     TRS:
      f(x,a(b(y))) -> f(a(a(b(x))),y)
      f(a(x),y) -> f(x,a(y))
      f(b(x),y) -> f(x,b(y))
     Open