YES

weighted path orer with linear polynomial on natural numbers:

  h_A(x1) = x1 + 1
  g_A(x1) = x1
  f_A(x1) = x1 + 1


precedence:

  f > g > h


status:
h: [1]
g: [1]
f: [1]

the condition f(g(h(x))) ->> g(f(g(h(x)))) is unsatisfiable for all substitutions.