Here's a figure showing how this appears to the dog:A dog and cat interacting with an FTL alien, as seen by the dog. The dog sees the cat moving left to right at half the speed of light. The alien comes in from the left, passes the dog first (event 1), and then the cat (event 2). In that case, you get something that looks like this:A dog and cat interacting with an FTL alien, as seen by the cat. Both space and time look different to the cat, due to her high speed.