The word "intermeshes" means to entangle or intertwine with each other. Its antonyms would be words indicating separation or disentanglement, such as "untangle," "disentangle," "unwrap," "untwist," "disengage," "unravel," "loosen," "unclasp," "unfasten," "undo," "unsnarl," "unweave," and "unwind." These words describe the action of removing something from a state of entanglement or confusion, and returning it to a state of order and clarity. While "intermeshes" may imply a sense of complexity or interconnectedness, its antonyms suggest a simpler, more straightforward approach that is necessary to untangle any confusing situation or problem.