YES

TRS:

  h(f(x),y) -> f(g(x,y))
  g(x,y) -> h(x,y)

linear polynomial interpretations on N:

  h_A(x1,x2) = x1 + x2
  h#_A(x1,x2) = x1 + x2
  f_A(x1) = x1 + 1
  f#_A(x1) = x1 + 1
  g_A(x1,x2) = x1 + x2
  g#_A(x1,x2) = x1 + x2

precedence:

  g > h > f