MAYBE

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

Proof:
 DP Processor:
  DPs:
   f#(x,a(b(y))) -> f#(c(d(x)),y)
   f#(c(x),y) -> f#(x,a(y))
   f#(d(x),y) -> f#(x,b(y))
  TRS:
   f(x,a(b(y))) -> f(c(d(x)),y)
   f(c(x),y) -> f(x,a(y))
   f(d(x),y) -> f(x,b(y))
  ADG Processor:
   DPs:
    f#(x,a(b(y))) -> f#(c(d(x)),y)
    f#(c(x),y) -> f#(x,a(y))
    f#(d(x),y) -> f#(x,b(y))
   TRS:
    f(x,a(b(y))) -> f(c(d(x)),y)
    f(c(x),y) -> f(x,a(y))
    f(d(x),y) -> f(x,b(y))
   graph:
    f#(c(x),y) -> f#(x,a(y)) -> f#(x,a(b(y))) -> f#(c(d(x)),y)
    f#(c(x),y) -> f#(x,a(y)) -> f#(c(x),y) -> f#(x,a(y))
    f#(c(x),y) -> f#(x,a(y)) -> f#(d(x),y) -> f#(x,b(y))
    f#(d(x),y) -> f#(x,b(y)) -> f#(c(x),y) -> f#(x,a(y))
    f#(d(x),y) -> f#(x,b(y)) -> f#(d(x),y) -> f#(x,b(y))
    f#(x,a(b(y))) -> f#(c(d(x)),y) -> f#(x,a(b(y))) -> f#(c(d(x)),y)
    f#(x,a(b(y))) -> f#(c(d(x)),y) -> f#(c(x),y) -> f#(x,a(y))
   SCC Processor:
    #sccs: 1
    #rules: 3
    #arcs: 7/9
    DPs:
     f#(c(x),y) -> f#(x,a(y))
     f#(d(x),y) -> f#(x,b(y))
     f#(x,a(b(y))) -> f#(c(d(x)),y)
    TRS:
     f(x,a(b(y))) -> f(c(d(x)),y)
     f(c(x),y) -> f(x,a(y))
     f(d(x),y) -> f(x,b(y))
    Open