Well, at 4 miles away it's just as likely the the signal is "beaming OVER" your house as you could be too close and missing a lot of the rf power they are radiating. Yep, that can happen. Just removing the cable for the other tv will not help. You could get a 75 ohm coax barrel connector, and connect the antenna coax directly to the cable going to your Tivo though (temp. bypassing the splitter) . Or if possible, try MOVING your Tivo to where your other tv set is (for a test) and hook it up in place of the tv set to see if that set is getting a stronger signal.