YES

TRS:

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

max/plus interpretations on N:

  f_A(x1,x2) = max{0, 1, -5 + x2}
  f#_A(x1,x2) = max{4, 1, x2}
  g_A(x1) = max{0, 5 + x1}
  g#_A(x1) = max{0, x1}
  h_A(x1) = max{2, 5 + x1}
  h#_A(x1) = max{0, 3}

precedence:

  f = g > h