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{58, 27 + x1, 10 + x2}
  f#_A(x1,x2) = max{58, 27 + x1, 10 + x2}
  g_A(x1) = max{37, 2 + x1}
  g#_A(x1) = max{37, 2 + x1}
  h_A(x1,x2) = max{38, 40 + x1, 38 + x2}
  h#_A(x1,x2) = max{38, 40 + x1, 38 + x2}
  a_A = 41
  a#_A = 41

precedence:

  g > h > a > f