Here's a basic starter child theme for the Davinci theme with a Supsystic Slider customization already done.
1. Unzip and upload to the wp-content/ themes directory
2. Go to Appearance/Themes and install the child theme
3. Go to Plugins/Add new and search for and install the Supsystic Slider.
4. Import at least 1 pic
5. On the right hand side, set the slider's dimensions to 570x359
6. Copy the Shotcode it gives you.
7. Edit the slider shortcode [supsystic-slider id=2 position="center"] you will find at the top of the front-page.php file.
8. Done!
The style.css file is empty and ready to add any colour changes you want.
Any other original theme files you want to edit/customise ... add them to the child theme directory. Simple as that.
EDIT: I just realised that the style.css file has 1 value in it setting the page background to white. Just delete it ... or delete the entire CSS file in the child theme if you just want to stick to colour changes you do in the plugin's backend. All you need in the child theme for the slider is the functions.php and the front-page.php files.
Note 1: And of course ... you need the original Davinci theme installed. But not activated. Activate the child theme.
Note2: Always update the Davinci theme as normal when updates are available... no need to touch the child theme. The customizations will remain in place. No worries!
Note 3: The only time there would be any problem is if the support changes the name of the front-page.php file like they did a few months ago. It used to be called home.php. OR .. if they make some MASSIVE changes to the front-page.php. In the unlikely event that happens and you can't adapt the changes ... just spend 30 seconds and switch back to the original theme and lose the slider. No big deal.