Solely judging from the error message the problem seems to be fully client sided, and I know that the Visual Paradigm company has changed their certificate earlier this year. I don’t know all the details of course, but it could be related. Unfortunately I don’t have access to version 14.2 myself, but I think I might have a solution.
See: by default VP will check the Internet to see if there are any program updates as well as news updates. Considering that this is blocked by your proxy it might make more sense to turn that behavior off. Normally you’d do this from within Visual Paradigm, but I know of another way too
First: find the current VP workspace, this is important. Inside that directory you should find a sub directory called .vpprefdata:
Inside that directory you should find a file called .vp.preference. Try to open that with a text editor (like Notepad or Metapad). Make sure that VP isn’t running!
Now, you’ll see a lot of XML data, these are the options you need to find:
<AutoUpdate value="0"></AutoUpdate><NewsFeedPeriod value="2"></NewsFeedPeriod>
You should be able to find these values near the top. Actually the lower half of the first page, but that obviously depends on your editor size and resolution and such. But to give you an impression:
You will most likely have different values than me. Change both values to 0 (which means that VP won’t check for any updates for software and news), then save the file and try to start VP again.
As mentioned before: make sure that you use the right workspace!
Hope this can help.