My ex said some really hurtful things to me. How do I stop thinking about them, even when I already know they aren't true?

To add some background, my ex and I shared a best friend. A few days ago, my ex texted me some really hurtful things because, apparently, our mutual best friend (who lives far away and is visiting our home city for a week) had been telling him things I said. Most of them were quite hurtful, but I never said them (at least, not the way our friend told them to him). For example, our friend told him I called him a bad singer (which is a big deal to him because he sings in an a cappella group on his college campus) which I never did. She twisted my words from "sometimes he sings off key and I think it's adorable" to me calling him a bad singer. There were others as well, and all of them were either entirely made up or dramatized to make what I said into an actual insult when that was NEVER my intention. I know what I said isn't particularly NICE, but I never EVER meant it in an insulting way. I honestly never thought it was even remotely insulting until he brought it up.

Two nights ago, he texted me some AWFUL things, and also cursed me out (many "F-you's"). The phrase that keeps playing through my head is "The idea of you makes me feel sick. Have fun thinking you aren't the world's shittiest person somehow since that's all you are and ever will be. So, goodnight and f**k you". I know he said these things to hurt me and by letting them hurt me he's "winning", so to speak, but I can't stop them from running through my head over and over.

Anyways, how do I stop obsessing over these messages? I deleted them so I can't read them but they're all still running through my head over and over. I just want to stop thinking about them so I can move on with my life... :(
My ex said some really hurtful things to me. How do I stop thinking about them, even when I already know they aren't true?
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