I think the Robot didn't break the 2nd Law. Here's how I imagine the Robot working: The Robot continuously checks for the 3 Laws.

Law 1: The Robot has to save either will smith or the child. Since the child has a lower chance of surviving he chooses Will.

Law 2: The Robot has to obey humans: Will tells him to save the girl. The Order is ignored because Law 1 has higher Priority.

Law 3: He doesn't harm himself so who cares

It seems like the first Law lets him ignore Law 2 and 3 and the second lets him ignore Law 3. Ignoring is not the same as breaking the Rule in this case because Law2 specifically states that it can be ignored. Thus it's not broken

I think the Robot didn't break the 2nd Law. Here's how I imagine the Robot working: The Robot continuously checks for the 3 Laws.

Law 1: The Robot has to save either will smith or the child. Since the child has a lower chance of surviving he chooses Will.

Law 2: The Robot has to obey humans: Will tells him to save the girl. The Order is ignored because Law 1 has higher Priority.

Law 3: He doesn't harm himself so who cares

It seems like the first Law lets him ignore Law 2 and 3 and the second lets him ignore Law 3. Ignoring is not the same as breaking the Rule in this case because Law 2 specifically states that it can be ignored. Thus it's not broken.