It seems that .axe and .psp files are used in navigation and mapping software from Microsoft, namely AutoRoute and Streets & Trips. Sadly, we couldn't really verfiy whenever these two file types may be converted between one another, or if it's even useful to do so.
Convert Microsoft Autoroute map file to Microsoft Streets & Trips pushpin file.
We found 2 software records in the database related to .axe to .psp file format conversion.
Microsoft Windows software - convert axe to psp on Windows
A mapping software
Convert from axe file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned axe to psp. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
A trip planning software