MAYBE

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

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