NO

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

Proof:
 String Reversal Processor:
  b(a(b(a(x)))) -> b(a(a(b(a(b(x))))))
  Unfolding Processor:
   loop length: 2
   terms:
    b(a(b(a(a(b(a(x10)))))))
    b(a(a(b(a(b(a(b(a(x10)))))))))
   context: b(a(a([])))
   substitution:
    x10 -> b(x10)
   Qed