YES

TRS:

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

linear polynomial interpretations on N:

  f_A(x1,x2,x3) = x1 + 1
  f#_A(x1,x2,x3) = x1
  g_A(x1) = x1 + 1
  g#_A(x1) = 0

precedence:

  f > g