YES

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

Proof:
 DP Processor:
  DPs:
   a#(b(b(a(a(b(x1)))))) -> a#(x1)
   a#(b(b(a(a(b(x1)))))) -> a#(b(a(x1)))
   a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1))))))
   a#(b(b(a(a(b(x1)))))) -> a#(a(b(b(a(b(a(x1)))))))
  TRS:
   a(b(b(a(a(b(x1)))))) -> a(a(b(b(a(b(a(x1)))))))
  EDG Processor:
   DPs:
    a#(b(b(a(a(b(x1)))))) -> a#(x1)
    a#(b(b(a(a(b(x1)))))) -> a#(b(a(x1)))
    a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1))))))
    a#(b(b(a(a(b(x1)))))) -> a#(a(b(b(a(b(a(x1)))))))
   TRS:
    a(b(b(a(a(b(x1)))))) -> a(a(b(b(a(b(a(x1)))))))
   graph:
    a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1)))))) ->
    a#(b(b(a(a(b(x1)))))) -> a#(x1)
    a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1)))))) ->
    a#(b(b(a(a(b(x1)))))) -> a#(b(a(x1)))
    a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1)))))) ->
    a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1))))))
    a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1)))))) ->
    a#(b(b(a(a(b(x1)))))) -> a#(a(b(b(a(b(a(x1)))))))
    a#(b(b(a(a(b(x1)))))) -> a#(x1) ->
    a#(b(b(a(a(b(x1)))))) -> a#(x1)
    a#(b(b(a(a(b(x1)))))) -> a#(x1) ->
    a#(b(b(a(a(b(x1)))))) -> a#(b(a(x1)))
    a#(b(b(a(a(b(x1)))))) -> a#(x1) ->
    a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1))))))
    a#(b(b(a(a(b(x1)))))) -> a#(x1) -> a#(b(b(a(a(b(x1)))))) -> a#(a(b(b(a(b(a(x1)))))))
   CDG Processor:
    DPs:
     a#(b(b(a(a(b(x1)))))) -> a#(x1)
     a#(b(b(a(a(b(x1)))))) -> a#(b(a(x1)))
     a#(b(b(a(a(b(x1)))))) -> a#(b(b(a(b(a(x1))))))
     a#(b(b(a(a(b(x1)))))) -> a#(a(b(b(a(b(a(x1)))))))
    TRS:
     a(b(b(a(a(b(x1)))))) -> a(a(b(b(a(b(a(x1)))))))
    graph:
     
    Qed