Your first assumptions were fine, but you began to make some other ones that were completely out of the blue and went by so fast and without any real backing that it was obvious you did not want them to be thought out.
Intelligence cannot come from non-intelligence. You cannot a) prove this and b) there are examples of expanding intelligence (ie humans discovering more about the universe) but there is no evidence of it being unable to happen.
Life cannot come from non-life. Same deal.
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