MAYBE

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

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