The claim he has a CPS investigation is proven. You can prove it's false if you just post evidence the case was dismissed due to lack of evidence. But you can't because there is no evidence of your claim of it being false, it's just a cope and a lie until you post follow up on the investigation that says one thing or the other. And the only reason he wouldn't is if it's not a false report.
Reason: It's not proving a negative it's providing a follow up.