MAYBE

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

Proof:
 DP Processor:
  DPs:
   a#(b(a(x1))) -> b#(x1)
   b#(a(b(x1))) -> b#(b(x1))
   b#(a(b(x1))) -> b#(b(b(x1)))
   b#(b(x1)) -> a#(x1)
   b#(b(x1)) -> a#(a(x1))
   b#(b(x1)) -> a#(a(a(x1)))
  TRS:
   a(b(a(x1))) -> b(x1)
   b(a(b(x1))) -> b(b(b(x1)))
   b(b(x1)) -> a(a(a(x1)))
  TDG Processor:
   DPs:
    a#(b(a(x1))) -> b#(x1)
    b#(a(b(x1))) -> b#(b(x1))
    b#(a(b(x1))) -> b#(b(b(x1)))
    b#(b(x1)) -> a#(x1)
    b#(b(x1)) -> a#(a(x1))
    b#(b(x1)) -> a#(a(a(x1)))
   TRS:
    a(b(a(x1))) -> b(x1)
    b(a(b(x1))) -> b(b(b(x1)))
    b(b(x1)) -> a(a(a(x1)))
   graph:
    b#(b(x1)) -> a#(a(a(x1))) -> a#(b(a(x1))) -> b#(x1)
    b#(b(x1)) -> a#(a(x1)) -> a#(b(a(x1))) -> b#(x1)
    b#(b(x1)) -> a#(x1) -> a#(b(a(x1))) -> b#(x1)
    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(a(a(x1)))
    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(a(x1))
    b#(a(b(x1))) -> b#(b(b(x1))) -> b#(b(x1)) -> a#(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#(b(x1)) -> a#(a(a(x1)))
    b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(a(x1))
    b#(a(b(x1))) -> b#(b(x1)) -> b#(b(x1)) -> a#(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))
    a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(a(x1)))
    a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(a(x1))
    a#(b(a(x1))) -> b#(x1) -> b#(b(x1)) -> a#(x1)
    a#(b(a(x1))) -> b#(x1) -> b#(a(b(x1))) -> b#(b(b(x1)))
    a#(b(a(x1))) -> b#(x1) -> b#(a(b(x1))) -> b#(b(x1))
   SCC Processor:
    #sccs: 1
    #rules: 6
    #arcs: 18/36
    DPs:
     b#(b(x1)) -> a#(a(a(x1)))
     a#(b(a(x1))) -> b#(x1)
     b#(a(b(x1))) -> b#(b(x1))
     b#(a(b(x1))) -> b#(b(b(x1)))
     b#(b(x1)) -> a#(x1)
     b#(b(x1)) -> a#(a(x1))
    TRS:
     a(b(a(x1))) -> b(x1)
     b(a(b(x1))) -> b(b(b(x1)))
     b(b(x1)) -> a(a(a(x1)))
    Open