Classic case of steel bike with alu seat post - post now stuck.
Have squirted WD40 down the post (from seat end) to try and loosen it, now that its not freezing will try with boiling water, and maybe the hairdyrer to try and free it.
If that doesn't work will try the clamp, rotate the frame thing - but what then?
Be loathe to try and hacksaw the seat post out (its not a dropper, just a cheap seat post though)
Would the local bike shop be able to offer anything else?
What do other folks do when faced with this problem?