Thank you for contacting us. I understand you're unable to reach your website http://example.com and suspect our nameservers are down.
Thought process: Since I have access to your DNS and Cloudflare settings, my first step would be to confirm that Cloudflare's nameservers are operational (for example, with Cloudflare Status). If not enought, I would verify the domain is correctly pointed to Cloudflare nameservers and that there are no DNS misconfigurations.
Response: I’ve checked and can confirm that Cloudflare’s nameservers are operational. Your domain example.com is correctly delegated to Cloudflare, and DNS records are present and resolving as expected globally. The cause of the issue could be either caching, your ISP or firewall blocking it. Could you try clearing your DNS cache, or test using a different DNS resolver (e.g. Google DNS 8.8.8.8)? Please let me know if you need support through this steps.
Tools used: nslookup, Cloudflare status page, DNS propagation checker.