Contradiction with 2 Kings 17:18
This verse states that the LORD was very angry with Israel and removed them out of his sight, implying the eventual failure of the remnant of Israel mentioned in 1 Kings 12:17 to remain protected.
2 Kings 17:18: Therefore the LORD was very angry with Israel, and removed them out of his sight: there was none left but the tribe of Judah only.
Contradiction with Hosea 4:6
This verse claims that the people of Israel are destroyed for lack of knowledge, which contradicts the notion of them being successfully governed or remaining intact as the remnant suggested in 1 Kings 12:17.
Hosea 4:6: My people are destroyed for lack of knowledge: because thou hast rejected knowledge, I will also reject thee, that thou shalt be no priest to me: seeing thou hast forgotten the law of thy God, I will also forget thy children. [destroyed: Heb. cut off]
Contradiction with Amos 9:8
This verse indicates that the sinful kingdom (Israel) will be destroyed from the face of the earth, which conflicts with the idea of the children of Israel remaining in the cities of Judah.
Amos 9:8: Behold, the eyes of the Lord GOD [are] upon the sinful kingdom, and I will destroy it from off the face of the earth; saving that I will not utterly destroy the house of Jacob, saith the LORD.