I think the core problem here is that your GF is making a faulty logical jump
If the bible is not true then no god exists.
Its not hard to find problems with factual things in the bible. Hell If you want I can point you to some places in Genesis where the math flat out doesn't work out with itself (i.e. bob spent 7 years walking, and then 7 working and then died, making a total of 12 years of life after he started walking)
The thing to remember is that faith in god or religion does not imply faith that the bible is literal truth.
Whats more important is that you understand that you *can't* prove gods existence. The best you can hope for is that your gf keeps an open mind and an open soul, and eventually something touches her to make her believe.
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Use the star one and you'll be fighting off the old ones with your bare hands
-A Shoggoth on the Roof
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