How does lex luthor use his intelligence against superman?

The upcoming film "Man of Tomorrow" follows the established DC Comics characters Superman and Lex Luthor, directed by James Gunn. In the plot synopsis, the two reluctant heroes must cooperate to confront the superintelligent entity Brainiac. No specific scenes or strategies employed by Lex Luthor against Superman are described in the available sources. Lex Luthor is traditionally portrayed as a highly intelligent adversary, but the current evidence only indicates that he will use his intellect to challenge Superman within this narrative context. Therefore, any detailed explanation of how he applies his intelligence against Superman remains unverified at this time.