It's common amongst weightlifters to use the verb 'bench' to refer to doing bench presses. Similarly, 'squat' is used as a verb as well.
I can bench 400 lbs., and squat 880 lbs.*
Therefore, I'd simply say 'I will out-bench/out-squat him'. If context makes it clear you're only referring to one specific exercise, then simply 'out-lift'.
*not necessarily a true personal statement