How to turn on dome light with negative trigger

I'm building a car and looking to hook up interior dome lights that go on and off as the doors open or close and want to use relays. The power windows use a set of 4 door contacts, of which some are grounded when the door is closed. When door is open they are all an open circuit. Rather than put in a door switch for the dome lights, I want to tap into a door contact and use it to switch continuity of a negative. Door Open, no continuity, dome lights go on Door Closed, continuity, dome lights go off Its kinda backwards to how relays work I think. Any ideas how to wire this up? I didn't want to run +12V all the time between 85 and 86 terminals of the relay but I'm thinking its the only way. I'm stumped. Appreciate the help.Thanks in advance,

-coupster

If those wires are grounded only when door is closed you've got continuity problems with your wiring, also means the power windows would be unusable with a door open! Either door switches or a micro-switch on the unlock rod going to ground (that's how it's done OEM)

You could also use a PAC Tr1 or DEI 528T as a timer, triggered by ignition off.