Crime & Punishment by Fyodor Dostoyevsky
Dostoyevsky is a legendary Russian novelist who also happens to be pretty darn divisive because of some of his views. Crime & Punishment is a really excellent crafted novel, but has a remarkably illogical ending. See, the main character, Raskolnikov, murders a woman to steal her stuff, and he ends up turning himself in because having the evil deed on his conscience just totally messes him up. The problem? In the end he only gets like 2 years in prison, in 19th century Russia. That seems... slightly unlikely.