Feed us the new evidence and stop arguing. If you're right, you win. An INTP just needs to retreat to consider it in private. Later we'll be the first to admit we were wrong, but will probably bore you with new probabilities based on your evidence. It's what we like about INTJs - they're the ones that feed us new outlooks and data, knowing it will be absorbed for later consideration.
At least INTJs are the only ones I've found that do this with us. They seem to know that once the information is presented, an INTP is only ignoring the evidence until later when it can be evaluated at leisure, and later will likely bring back interesting observations, based on the data presented, for the INTJ to enjoy. Other types want to argue the point before we've had the opportunity to evaluate the possibilities, and yes, that can bring out our most negative traits. Worst are those types that enjoy the argument more than they understand the meaning of their opinion - often they're just passing along something they've heard and the validity of their opinion has no supporting arguments. They might be right, but their entire argument is based on nothing more than a parroting of what they remember hearing (often the bits that would convince us are the parts they glossed over or can't remember.)
That turns us into something others shouldn't have to witness.