The calls are straight forward and direct. If you have not qualified the prospect already, then you must do this in the first 15 seconds.

The basic steps are 1.) Identify yourself 2.) Very short intro to why you're calling 3.) Ask a qualifying question 4.) If prospect is not qualified, end call 5.) If qualified, then start a dialog to see if they have the problem you solve

Typically a cold call script is just a qualifying call, ask a few questions, see what problems they face and if they would benefit from the product. If they agree to a followup then it's great to schedule a followup email and call them again in after some period.

What we've found is that it's impractical to think that you'd close a sales call in one hit. A combination of phone calls and emails is important and providing customers with something of value before you push the sale is really effective. E.g. whitepapers, videos, blog posts, webinars etc.

I work for a company called GoodCall (http://www.goodcall.io) at the moment, which facilitates thousands of calls each week to businesses. We're building a tool to help businesses devise an effective call script and sales funnel and A/B test different scripts and sales processes. It also shows you your cost-per-acquisition, something that is really easy to measure with Google Adwords, but hard to do with inbound sales.

"Hi I'm from YOURCOMPANY and I saw you wrote/spoke on/commented about RELEVANTTOPICORTHEME and thought you may be interested in learning more about YOURCOMPANY. I'd love to set up a demo to show you how it can help you with PROBLEM. What day is better for you, Tuesday or Wednesday?"

I think this is way too direct. You atleast need to qualify if they really have the PROBLEM (even if you know they have the PROBLEM, it will atleast involve him in the conversation). Probably after that you can explain very briefly how you can solve the PROBLEM and give out few good names from the current clientele that have solved same/similar PROBLEM and then ask for a demo day. No?