How to get a higher FPS without changing speed video through Adobe After Effects or Premiere Pro CC2014 letting the software create the missing images
I can't give you specific commands but since these are fairly short I'd extract the individual frames into a TIFF stack (or similar), then import them at the correct (7fps) frame rate into your editor. Then I would apply twixtor or an open-source equivalent to raise the frame rate. How well those work depends somewhat on the amount of motion. 7 fps to 30 fps is asking a lot.

You may find ffmpeg / avconv assistance in extracting only the frames that are actually different -- that is, removing the extra inserted duplicate frames.