Antonyms for the phrase "ties up with" include "separates from," "disassociates from," and "disentangles from." These antonyms imply a disconnection or distancing from something or someone. Instead of being linked or connected, these antonyms suggest a breakup, detachment, or disengagement. For example, if someone were to disassociate from a toxic friend, they would no longer be tied up with that person's negativity or drama. Similarly, if a company were to disentangle from a partnership, they would no longer be tied up with that organization's goals or objectives. These antonyms offer an alternative perspective, highlighting the importance of prioritizing personal or organizational boundaries.