I think humans will be the last living things to go unless we engineer our own extinction early.
Evolution happens as long as there is life. Unless we turn the planet surface into a giant ball of lava, it is impossible to kill all life and it will continue without us. Even if there is only bacteria left after we go, they will simply evolve into complex life all over again, in fact it’s not the first time that has happened. In the grand scheme of what life has withstood on this planet, humans are a speed bump at best.