If the arguments that are supposed to prove the existence of god fail then that doesn't show god doesn't exist. this is because there could be better arguments out there waiting to be discovered...

Likewise if the arguments that are supposed to prove that god can't exist fail then that doesn't show god does exist. this is because there could be better arguments out there waiting to be discovered...

Argument from Possibility

P1) If god exists then god is a necessary being (by definition)
P2) If god exists then god exists on all possible worlds (reformulation of 1)
P3) It is possible that god exists
P4) There is a possible world in which god exists (reformulation of P3)
P5) Since there is a possible world in which god exists (P4) god exists on all possible worlds (P2)
P6) The actual world is one possible world
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C) God exists in the actual world