Your assertion here, without evidence, demonstrates nothing but that this is your personal assertion.
My study of Genesis 1 and 2 over many years does not prove that Gen 1 contradicts Gen 2. Instead, Genesis 2 presents a view of creation that presupposes the completion of God's work of creation that has been outlined in Gen 1.
We see this in Gen 2:1-3 (NIV):
In these 3 verses, we have a demonstration of the Gen 1 narrative brought to its logical conclusion. The vocab and the style are similar.
I refer you to Gleason Archer's excellent explanation of this in
Encyclopedia of Bible Difficulties and his brief article, '
Doesn't Genesis 2 present a different creation order than Genesis 1?' (Regency Reference Library, Zondervan, pp. 68-69).