NO

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

Proof:
 Unfolding Processor:
  loop length: 2
  terms:
   b(a(x18))
   b(b(a(x18)))
  context: []
  substitution:
   x18 -> b(x18)
  Qed