I want to explain how I got to this point better because I did a poor job explaining, so here it is. I am making a box. Along one edge of the box I pressed "W" then "subdivide" to create a single vertice. After which I had selected the single vertice I created on its own, and then pressed "ctrl shift B" to create two vertices, when I had the desired distance I wanted I then switched to edge select, and selected the edge between the two vertices I created then pressed "ctrl B" which results in the image above. I have no doubles, and using "ctrl A" in object mode doesn't fix my issue.