YES

TRS:

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

linear polynomial interpretations on N:

  f_A(x1,x2) = x1 + 3
  f#_A(x1,x2) = x2
  g_A(x1) = 4
  g#_A(x1) = 5
  h_A(x1,x2) = 4
  h#_A(x1,x2) = 4
  a_A = 3
  a#_A = 2

precedence:

  g > h > f > a