Do INTPs believe in god or are you religious?

It is well known fact that INTPs are mostly logical and it is one of the key traits that make us more INTP. So do you guys believe in god? or religion? Is it logical to believe in someone whose existence is argumentative?

I personally do believe in my God. So i wanted to know about others.

Edit: Why do I believe? Because sometimes I do feel why do we live? why are we born? As an Intp I do relate or solve things by approaching with logic. But these questions do come back to me almost daily or frequently. Where logic ends, religion starts!! I do have some answers after reading some ancient texts and other stuff. They might not be correct but it feels correct as I have answers for some questions. I don't want to spoil by mentioning my religion and start a argument of which religion or God is the best.

I would like to conclude by mentioning the following.

One of the texts I read ends with a question like this. "Only God might know why he created us! or who knows he might not know it too"