YES

TRS:

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

max/plus interpretations on N:

  f_A(x1,x2) = max{18, -1 + x1, -8}
  f#_A(x1,x2) = max{34, 28 + x1, 1}
  g_A(x1) = max{3, 9 + x1}
  g#_A(x1) = max{17, 12 + x1}
  h_A(x1,x2) = max{5, -10 + x1, -2 + x2}
  h#_A(x1,x2) = max{0, -1, 33}
  a_A = 3
  a#_A = 32

precedence:

  f > h > a > g