NO

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

Proof:
 String Reversal Processor:
  b(a(a(x1))) -> a(a(a(b(c(b(x1))))))
  c(a(x1)) -> x1
  Unfolding Processor:
   loop length: 12
   terms:
    b(a(a(a(a(a(a(a(a(x45196)))))))))
    a(a(a(b(c(b(a(a(a(a(a(a(x45196))))))))))))
    a(a(a(b(c(a(a(a(b(c(b(a(a(a(a(x45196)))))))))))))))
    a(a(a(b(a(a(b(c(b(a(a(a(a(x45196)))))))))))))
    a(a(a(b(a(a(b(c(a(a(a(b(c(b(a(a(x45196))))))))))))))))
    a(a(a(b(a(a(b(a(a(b(c(b(a(a(x45196))))))))))))))
    a(a(a(b(a(a(a(a(a(b(c(b(b(c(b(a(a(x45196)))))))))))))))))
    a(a(a(b(a(a(a(a(a(b(c(b(b(c(a(a(a(b(c(b(x45196))))))))))))))))))))
    a(a(a(b(a(a(a(a(a(b(c(b(b(a(a(b(c(b(x45196))))))))))))))))))
    a(a(a(b(a(a(a(a(a(b(c(b(a(a(a(b(c(b(b(c(b(x45196)))))))))))))))))))))
    a(a(a(b(a(a(a(a(a(b(c(a(a(a(b(c(b(a(b(c(b(b(c(b(x45196))))))))))))))))))))))))
    a(a(a(b(a(a(a(a(a(b(a(a(b(c(b(a(b(c(b(b(c(b(x45196))))))))))))))))))))))
   context: a(a(a([])))
   substitution:
    x45196 -> b(c(b(b(c(b(a(b(c(b(b(c(b(x45196)))))))))))))
   Qed