If he did not, the Inquisition never punished. It turned the heretic over to the civil arm for punishment for treason - usually death by burning. A confession after conviction permitted the heretic to be strangled before burning. Property was forfeit. If not, the Tribunal registers its judgment with the civil court who punishes with contempt, usually jail.
Property is forfeit.
Then - The Inquisition Now. The 1998 Canadian Inquisition-style hearings will last throughout the month of June. We don't know what lies beyond.