My airpods pro case discharge automatically within 4-5 days without any use,

Hi NaveenHooda, 

Thank you for using the Apple Support Communities. 

It sounds like your AirPods Pro and charging case are losing battery life while not in use and we are happy to help. We also see that you’ve already checked out the Apple Support article Charge your AirPods and learn about battery life. 

Even when not in use, batteries should still discharge, but slower than when in use. Try these steps:

1. Charge your AirPods Pro, while being in the charging case, to 100 percent before going to bed.
2. Close the lid, then unplug the charging case from power. Keep your AirPods in the case.
3. In the morning, check the charge status on your iPhone again.

If the charge of either the AirPods Pro or the charging case is below 90%, then we'd suggest you contact Apple Support for further assistance.

Best regards.