Pine Sol does work for cleaning Vinyl Floors and Pine Sol even makes cleaner for cleaning Vinyl Floors Specifically.
You can also clean your Vinyl Floors using Apple Cider Vinegar and water.
You can pour a cup of apple cider vinegar into a bucket of hot water and then mop the Vinyl Floors with it and the Apple Cider Vinegar will help remove any built up dirt on the Vinyl Floors.