When conveying the idea that a situation is not resolvable, there are a variety of synonyms that one can use to accurately express their thoughts. Some alternative phrases to "conversely suppose it is not resolvable" might include "in the event that it cannot be resolved," "if a solution is unattainable," or "when there is no resolution possible." Additionally, other related phrases like "intractable dilemma," "unsolvable problem," or "insurmountable obstacle" might also be used. Ultimately, the key is to find a synonym or phrase that accurately communicates the essential meaning of the original phrase, with an emphasis on the fact that a solution is not available.