Messages presented at trial reveal how Zilis, the mother of four of Musk’s children, acted as an intermediary between him and OpenAI.

The judge also warned Musk and Sam Altman to curb their “propensity to use social media to make things worse outside the courtroom” after both sides traded attacks online.

Tensions flared on the third day of trial in Musk v. Altman as OpenAI’s lawyers cross-examined Musk.