MAYBE

Problem:
 a(x1) -> x1
 a(a(b(a(x1)))) -> b(b(a(a(a(x1)))))
 b(x1) -> a(x1)

Proof:
 DP Processor:
  DPs:
   a#(a(b(a(x1)))) -> a#(a(x1))
   a#(a(b(a(x1)))) -> a#(a(a(x1)))
   a#(a(b(a(x1)))) -> b#(a(a(a(x1))))
   a#(a(b(a(x1)))) -> b#(b(a(a(a(x1)))))
   b#(x1) -> a#(x1)
  TRS:
   a(x1) -> x1
   a(a(b(a(x1)))) -> b(b(a(a(a(x1)))))
   b(x1) -> a(x1)
  TDG Processor:
   DPs:
    a#(a(b(a(x1)))) -> a#(a(x1))
    a#(a(b(a(x1)))) -> a#(a(a(x1)))
    a#(a(b(a(x1)))) -> b#(a(a(a(x1))))
    a#(a(b(a(x1)))) -> b#(b(a(a(a(x1)))))
    b#(x1) -> a#(x1)
   TRS:
    a(x1) -> x1
    a(a(b(a(x1)))) -> b(b(a(a(a(x1)))))
    b(x1) -> a(x1)
   graph:
    b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> b#(b(a(a(a(x1)))))
    b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> b#(a(a(a(x1))))
    b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> a#(a(a(x1)))
    b#(x1) -> a#(x1) -> a#(a(b(a(x1)))) -> a#(a(x1))
    a#(a(b(a(x1)))) -> b#(b(a(a(a(x1))))) -> b#(x1) -> a#(x1)
    a#(a(b(a(x1)))) -> b#(a(a(a(x1)))) -> b#(x1) -> a#(x1)
    a#(a(b(a(x1)))) -> a#(a(a(x1))) ->
    a#(a(b(a(x1)))) -> b#(b(a(a(a(x1)))))
    a#(a(b(a(x1)))) -> a#(a(a(x1))) ->
    a#(a(b(a(x1)))) -> b#(a(a(a(x1))))
    a#(a(b(a(x1)))) -> a#(a(a(x1))) ->
    a#(a(b(a(x1)))) -> a#(a(a(x1)))
    a#(a(b(a(x1)))) -> a#(a(a(x1))) -> a#(a(b(a(x1)))) -> a#(a(x1))
    a#(a(b(a(x1)))) -> a#(a(x1)) ->
    a#(a(b(a(x1)))) -> b#(b(a(a(a(x1)))))
    a#(a(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> b#(a(a(a(x1))))
    a#(a(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> a#(a(a(x1)))
    a#(a(b(a(x1)))) -> a#(a(x1)) -> a#(a(b(a(x1)))) -> a#(a(x1))
   Open