There are many synonyms for the phrase "not square with" which means to not conform or be in agreement with something. Some alternatives include "inconsistent," "incompatible," "contradictory," "discordant," "incongruous," "discrepant," "opposed," and "inharmonious." These terms can be used in various settings such as describing conflicting beliefs, incompatible ideas, or inconsistent behavior. It's important to choose the appropriate word based on the context of the situation. By utilizing synonyms, you can add depth and clarity to your writing, and convey your message with greater accuracy and precision.