So you refuse the offer! I've been in the position where I was underpaid to the point where the next job almost doubled my salary. When asked, I told them what I had been making and what I expected to make.

They hired me. I would have refused any offer less than I was asking for. Lesson learned: if they want you they will pay at least market rate.

I also "negotiated" (negotiated, hell. I just asked for it) a raise well above what they offered a year later at my first review.