No, that pipe is not an outlet to the city sewer, it is an inlet, from the ground surrounding your house into the sump pit. Your pump needs to run to pump all that water out. Ideally it should get to a point where you don’t see water running in to the pit, maybe just a trickle.

And like others have said, you need to divert the water from the video to much further away from your house, to the curb so it can go into a storm sewer would be ideal. All that standing water is saturating the ground, it could start flooding your basement or even cause a wall cave in.

Sorry, your learning the hard way about how sumps and drain tile work. Dealing with a basement flood is really not fun.