YES

TRS:

  a() -> g(c())
  g(a()) -> b()
  f(g(X),b()) -> f(a(),X)

linear polynomial interpretations on N:

  a_A = 4
  a#_A = 4
  g_A(x1) = x1 + 2
  g#_A(x1) = x1 + 2
  c_A = 1
  c#_A = 1
  b_A = 5
  b#_A = 5
  f_A(x1,x2) = x1 + x2
  f#_A(x1,x2) = x1 + x2

precedence:

  b = f > a > c > g