Think of the UVP as the finished story benefit (or outcome) the customer gets after using your solution. 

Example:
Solution: Job recruitment service
UVP: Find your dream job in 60 days

Your UVP is a promise of the outcome customers get, while your solution is describes how that outcome is achieved.

I could easily substitute "Job board website", "Resume builder", or "LinkedIn" for the solution above while keeping the same UVP. 

Takeaway: A good UVP is outcome versus solution focused.