The third axiom is that the penalty for sin is death. You either believe God made this rule or you don’t. There will always be two ways to interpret an axiom: either it’s a self serving lie that uses debt to enslave people to some unspecified end or it’s the way God made the universe. You must choose your belief carefully. Logically. 

While Christianity fits together as a logical puzzle perfectly under these three axioms, you can interpret the same set of facts and arrive at the logical conclusion that Christianity is some great scam or trick with equal logic if you choose a different set of axioms.