how does new york state law identify a relationship?

due to a signed contract, i am not allowed to be in a relationship with a certain person, but how will the law recognize a relationship? living arrangements? communication? sex? we are not married, not in a civil union, we do not live together, we do not share bills or assets, we simply call eachother boyfriend/girlfriend and we have sex with eachother... so if we continue to do that and we get caught by some authority figure involved with the contract, will i be charged with breaching a contract or get in some sort of trouble?