RE: Creationism VS. Evolution

Genesis 1 has God creating man and woman simultaneously on the last day, both in his own image.  Genesis 2 has God creating the first man (Adam) first, then creating all the lower animals, and finally deciding as an aftethought to create the first woman (Eve) out of his rib.  There is no evidence either story is true, but as a matter of logic, both cannot be.