Raising p-trap that sits too low in 2nd floor joist

[Dpm200]

Hello. I removed a large light structure from my 1990s kitchen ceiling in order to install canless led lights and learned the p-trap from the shower in the floor above rests 5" below the joists preventing me from installing drywall flush with the joists. I am wondering what my options are for reconfiguring the p-trap.

The joists are 9.5" in height. The bottom of the p-trap sits 5" below the bottom of the joist. The shower drain pipe connects to the air vent and then main waste pipe. The distance from the center of the p-trap to the connection to the air vent is 17".

I mocked up a potential solution on paper shown here though don't know if that would constitute an s-trap or other code violation. Thank you for any input you could provide.
Link to short video of the area within the joists

 

[Tuttles Revenge]

You can raise the pipe from a point below/downstream of the vertical vent, but you can't add a dip between the trap and the vent, it must be graded horizontally w/ slope.

You're going to need to gain 5" in the vertical vent, which looks like to me, opening the wall above to gain what you need.

 

[Sponsor]

 

[Jeff H Young]

I just hope you are wrong about the 5 inches you could put a san tee on back and bring waste way up high as close to floor you can get? run 1 1/2" trap arm and and vent ? drastic measures good luck let us see your progress!

 

[wwhitney]

To illustrate what Tuttle said, you can do what I drew below. And as Jeff said, the IPC (used in Colorado) would allow you to replace the wye + 45 vent take off with a san-tee on its back. I would think that would let you do all the work from below.

Cheers, Wayne

 

[Dpm200]

Thank you guys for the helpful responses! Your recommendations look great, and I will give them a shot. It was a total surprise to find the p-trap hanging there after removing the large light structure. Your responses give me hope the original vision of the project can still be realized and avoid adding a soffit to cover the p-trap.
Here's what the light looked like before.
Take care and happy new year.

 

[Jeff H Young]

good luck with it ! there is a chance of having to demo more drywall to get back to the wye , to offset and connecting back to the verticle vent a hole might need made in wall above . but you got a nice home there and going to need a good patch job on the cieling anyway