Once you're defeated you have several options; you can flush the toilet again, or leave the remaining urine in the toilet to develop a filthy ring around the inside - punishing the toilet for its victory.
A variable in the equation for victory in this game is how long it takes for your toilet to flush. I'd say the average flush time for a toilet is around 15 seconds, give or take 2-3 seconds depending on water level.
This is predominately a game for men, since we take pisses standing up, we have a more clear view into the toilet than women do, hence, a better way of judging if we actually beat the flush or not.
I know i'm not the only one who's done this before, in fact, i'm sure countless people have done this and have just never thought of it as a game/idea, nonetheless actually fucking name it.