YES

TRS:

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

linear polynomial interpretations on N:

  a_A(x1) = x1
  a#_A(x1) = x1 + 1
  b_A(x1) = x1 + 1
  b#_A(x1) = 0
  c_A(x1) = 0
  c#_A(x1) = x1

precedence:

  b > a > c