In chapter 19, Saul just keeps on trying to kill David. 

In an interesting turn of events, at the end of the chapter, Saul sends his men to the town where Samuel and David are prophesying. But each time he sends his troops, the Spirit of the Lord falls on them and they start prophesying, too! Finally, after the third set of men don't return, Saul himself goes. But the Spirit of the Lord falls on him, as well, and he starts prophesying. 

You'd think that was enough to keep him from trying to kill David. But no.

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