This:
#!/bin/bash
shopt -s extglob nullglob
for file in *+([[:digit:]]).nai; do
echo mv -nv -- "$file" "${file##+([^[:digit:]])}"
done
Remove the echo if you're happy with the mv commands.
Note. This solution does not assume that there are 5 leading characters to delete. It will delete all the leading non-numeric characters.