MAYBE

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

Proof:
 DP Processor:
  DPs:
   b#(b(b(x1))) -> a#(b(x1))
   b#(b(b(x1))) -> a#(a(b(x1)))
   b#(a(a(x1))) -> b#(x1)
   b#(a(a(x1))) -> a#(b(x1))
   b#(a(a(x1))) -> a#(a(b(x1)))
   a#(a(x1)) -> b#(x1)
   a#(a(x1)) -> a#(b(x1))
   a#(a(x1)) -> b#(a(b(x1)))
  TRS:
   b(b(b(x1))) -> a(a(b(x1)))
   b(a(a(x1))) -> a(a(b(x1)))
   a(a(x1)) -> b(a(b(x1)))
  CDG Processor:
   DPs:
    b#(b(b(x1))) -> a#(b(x1))
    b#(b(b(x1))) -> a#(a(b(x1)))
    b#(a(a(x1))) -> b#(x1)
    b#(a(a(x1))) -> a#(b(x1))
    b#(a(a(x1))) -> a#(a(b(x1)))
    a#(a(x1)) -> b#(x1)
    a#(a(x1)) -> a#(b(x1))
    a#(a(x1)) -> b#(a(b(x1)))
   TRS:
    b(b(b(x1))) -> a(a(b(x1)))
    b(a(a(x1))) -> a(a(b(x1)))
    a(a(x1)) -> b(a(b(x1)))
   graph:
    a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1)
    a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1))
    a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> b#(a(b(x1)))
    a#(a(x1)) -> b#(a(b(x1))) -> b#(b(b(x1))) -> a#(b(x1))
    a#(a(x1)) -> b#(a(b(x1))) -> b#(b(b(x1))) -> a#(a(b(x1)))
    a#(a(x1)) -> b#(a(b(x1))) -> b#(a(a(x1))) -> b#(x1)
    a#(a(x1)) -> b#(a(b(x1))) -> b#(a(a(x1))) -> a#(b(x1))
    a#(a(x1)) -> b#(a(b(x1))) -> b#(a(a(x1))) -> a#(a(b(x1)))
    a#(a(x1)) -> b#(x1) -> b#(b(b(x1))) -> a#(b(x1))
    a#(a(x1)) -> b#(x1) -> b#(b(b(x1))) -> a#(a(b(x1)))
    a#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> b#(x1)
    a#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> a#(b(x1))
    a#(a(x1)) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(x1)))
    b#(a(a(x1))) -> a#(a(b(x1))) -> a#(a(x1)) -> b#(x1)
    b#(a(a(x1))) -> a#(a(b(x1))) -> a#(a(x1)) -> a#(b(x1))
    b#(a(a(x1))) -> a#(a(b(x1))) -> a#(a(x1)) -> b#(a(b(x1)))
    b#(a(a(x1))) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1)
    b#(a(a(x1))) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1))
    b#(a(a(x1))) -> a#(b(x1)) -> a#(a(x1)) -> b#(a(b(x1)))
    b#(a(a(x1))) -> b#(x1) -> b#(b(b(x1))) -> a#(b(x1))
    b#(a(a(x1))) -> b#(x1) -> b#(b(b(x1))) -> a#(a(b(x1)))
    b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1)
    b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(x1))
    b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(x1)))
    b#(b(b(x1))) -> a#(a(b(x1))) -> a#(a(x1)) -> b#(x1)
    b#(b(b(x1))) -> a#(a(b(x1))) -> a#(a(x1)) -> a#(b(x1))
    b#(b(b(x1))) -> a#(a(b(x1))) -> a#(a(x1)) -> b#(a(b(x1)))
    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(x1)) -> b#(x1)
    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1))
    b#(b(b(x1))) -> a#(b(x1)) -> a#(a(x1)) -> b#(a(b(x1)))
   Restore Modifier:
    DPs:
     b#(b(b(x1))) -> a#(b(x1))
     b#(b(b(x1))) -> a#(a(b(x1)))
     b#(a(a(x1))) -> b#(x1)
     b#(a(a(x1))) -> a#(b(x1))
     b#(a(a(x1))) -> a#(a(b(x1)))
     a#(a(x1)) -> b#(x1)
     a#(a(x1)) -> a#(b(x1))
     a#(a(x1)) -> b#(a(b(x1)))
    TRS:
     b(b(b(x1))) -> a(a(b(x1)))
     b(a(a(x1))) -> a(a(b(x1)))
     a(a(x1)) -> b(a(b(x1)))
    SCC Processor:
     #sccs: 1
     #rules: 8
     #arcs: 30/64
     DPs:
      a#(a(x1)) -> a#(b(x1))
      a#(a(x1)) -> b#(a(b(x1)))
      b#(a(a(x1))) -> a#(a(b(x1)))
      a#(a(x1)) -> b#(x1)
      b#(a(a(x1))) -> a#(b(x1))
      b#(a(a(x1))) -> b#(x1)
      b#(b(b(x1))) -> a#(a(b(x1)))
      b#(b(b(x1))) -> a#(b(x1))
     TRS:
      b(b(b(x1))) -> a(a(b(x1)))
      b(a(a(x1))) -> a(a(b(x1)))
      a(a(x1)) -> b(a(b(x1)))
     Open