http://www.chiefdelphi.com/media/photos/42406?The rule is subject to the ref, simply contacting the robot could give the allusion that the robot is supporting the totes. The true way to know for sure would be to move the robot, if the totes don't move then they are supported and if they do they are not supported. Defying the Laws of FRC Physics is possible.
For your situation the specific totes that move, the third and fourth, would be not scored.