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That screen indicates that either the system files are corrupted or they are deleted/moved. This usually happens if the system is interrupted during update.
You can reinstall your Mac OS X. Reinstalling OS X won't delete any of your files. It will just replace the corrupted system files with new one and that should fix the problem unless it is hardware related.
Restart your Mac and immediately hold down Command and R keys at the same time for 15 seconds and this will boot your Mac to the Mac OS X Utilities screen. From there, click Reinstall Mac OS X. Then follow the instructions to reinstall your Mac OS X.
If that didn't work,then restart your Mac and immediately hold down Command, Option and R keys at the same time for 15 seconds and this will boot your Mac to installation screen. Follow the onscreen instructions to reinstall.
Please let me know if that didn't work, so we can continue troubleshooting.
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Click Reinstall Mac OS X and follow the onscreen instructions. This will rewrite missing files with new one.
Is your mouse working ? Which Mac is this ?
Can you restart and try again ?If it is not responding, hold down Power button to turn it off
What is it showing now ?
How long has it been frozen there ?
Then it is frozen. Turn it off. Turn it back on and try to reinstall again
If there is any issue with your internet, then the process will be interrupted as we are reinstalling from internet
Reinstalling is supposed to take atleast 2 hours. So are you sure it reinstalled ? Did you choose Reinstall mac OS or Reinstall Mac OS X ?
Are you sure the re installation process was completed ?
It is supposed to take a few hours to complete the reinstallation process. Restart and immediately hold down Command, Option and R keys for 20 seconds. This will boot into Internet recovery or OS X Utilities screen
In there, you have to click Reinstall macOS and then follow onscreen instructions. This will download OS X from Apple (which may take time). Then it will reinstall which is going to take another hour or 2.