You are less than clear by what you mean when you say "pointed out to that first day conversation and left." Do you mean you left the conversation, the room, or did you resign your position and leave the company?
If you, in fact, resigned your position, I would say that might have been very slightly hasty. I would have gone one more round of attempted negotiations based on what you were originally told, and if their position was still non-negotiable, then resign coolly and professionally as possible.
In a professional career: Always assume and act as if a simple misunderstanding has happened, not a deliberate act of misrepresentation; regardless of what the truth of the matter is, it puts you in the right frame of mind to act professionally (and you always want to do that, even if your the only one in the room doing so).