Two circuits not one, so you would have to experiment with joining two pairs of wires. But even once you have worked out which two pairs and joined them, it is unlikely that the system will set, the panel is normally waiting to see you go out by opening and closing the door when your setting. You may be lucky and the the system maybe programmed as timed set, but even then when you come back in the door would normally start the entry timer. So any detectors after the door will cause an immediate alarm, because the alarm has not seen the entry door open so thinks you have broken in. So the door contact ideally needs to be replaced.