This is what you're guilty of invincible ignorance fallacy, or better yet, the argument by pigheadedness.

the person in question simply refuses to believe the argument, ignoring any evidence given. It is not so much a fallacious tactic in argument as it is a refusal to argue in the proper sense of the word. The method used in this fallacy is either to make assertions with no consideration of objections or to simply dismiss objections by calling them excuses, conjecture, anecdotal, etc. or saying that they are proof of nothing, all without actually demonstrating how the objections fit these terms. It is similar to the ad lapidem fallacy, in which the person rejects all the evidence and logic presented, without providing any evidence or logic that could lead to a different conclusion.