YES

TRS:

  a(b(a(x))) -> b(a(x))

linear polynomial interpretations on N:

  a_A(x1) = x1 + 1
  a#_A(x1) = x1 + 1
  b_A(x1) = x1 + 1
  b#_A(x1) = x1 + 1

precedence:

  a > b