Synonyms for Untied (same or very similar meaning)
WordNet sense 1 (not tied):
unfastenedWordNet sense 2 (with laces not tied):
unlacedWordNet sense 3 (not bound by shackles and chains):
unfettered, unchained, unshackledWordNet sense 4 (not restrained or tied down by bonds):
unboundFrom the ODE community, based on WordNetadd/edit