speed of light = 299 792 458 m / s
then if we travel at the speed of light... i think it should be like this..
if we walk (at the speed of light) for 1 metre.. it just take only 299792458th of 1 second (almost zero). Meanwhile, at the same time, a normal person walk also for 1 metre, and usually take at least 1 sec. So the point here, although we travel faster than the light, the time still cannot reach zero or negative value. Therefore I think that the time itself should be defined first before we talk about the time travel.