MAYBE

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

Proof:
 DP Processor:
  DPs:
   a#(b(b(x1))) -> a#(x1)
   a#(a(x1)) -> b#(x1)
   a#(a(x1)) -> b#(b(x1))
   a#(a(x1)) -> b#(b(b(x1)))
   b#(b(a(x1))) -> a#(b(a(x1)))
  TRS:
   a(b(b(x1))) -> a(x1)
   a(a(x1)) -> b(b(b(x1)))
   b(b(a(x1))) -> a(b(a(x1)))
  EDG Processor:
   DPs:
    a#(b(b(x1))) -> a#(x1)
    a#(a(x1)) -> b#(x1)
    a#(a(x1)) -> b#(b(x1))
    a#(a(x1)) -> b#(b(b(x1)))
    b#(b(a(x1))) -> a#(b(a(x1)))
   TRS:
    a(b(b(x1))) -> a(x1)
    a(a(x1)) -> b(b(b(x1)))
    b(b(a(x1))) -> a(b(a(x1)))
   graph:
    b#(b(a(x1))) -> a#(b(a(x1))) -> a#(b(b(x1))) -> a#(x1)
    b#(b(a(x1))) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(x1)
    b#(b(a(x1))) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(b(x1))
    b#(b(a(x1))) -> a#(b(a(x1))) -> a#(a(x1)) -> b#(b(b(x1)))
    a#(a(x1)) -> b#(b(b(x1))) -> b#(b(a(x1))) -> a#(b(a(x1)))
    a#(a(x1)) -> b#(b(x1)) -> b#(b(a(x1))) -> a#(b(a(x1)))
    a#(a(x1)) -> b#(x1) -> b#(b(a(x1))) -> a#(b(a(x1)))
    a#(b(b(x1))) -> a#(x1) -> a#(b(b(x1))) -> a#(x1)
    a#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(x1)
    a#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(b(x1))
    a#(b(b(x1))) -> a#(x1) -> a#(a(x1)) -> b#(b(b(x1)))
   Restore Modifier:
    DPs:
     a#(b(b(x1))) -> a#(x1)
     a#(a(x1)) -> b#(x1)
     a#(a(x1)) -> b#(b(x1))
     a#(a(x1)) -> b#(b(b(x1)))
     b#(b(a(x1))) -> a#(b(a(x1)))
    TRS:
     a(b(b(x1))) -> a(x1)
     a(a(x1)) -> b(b(b(x1)))
     b(b(a(x1))) -> a(b(a(x1)))
    SCC Processor:
     #sccs: 1
     #rules: 5
     #arcs: 11/25
     DPs:
      b#(b(a(x1))) -> a#(b(a(x1)))
      a#(a(x1)) -> b#(b(b(x1)))
      a#(a(x1)) -> b#(b(x1))
      a#(a(x1)) -> b#(x1)
      a#(b(b(x1))) -> a#(x1)
     TRS:
      a(b(b(x1))) -> a(x1)
      a(a(x1)) -> b(b(b(x1)))
      b(b(a(x1))) -> a(b(a(x1)))
     Open