Steel frame, alloy seat post jammed in there...If all brute force, mechanical and heat related options fail, there is a chemical option with caustic soda. Not very pleasant to use, gives off a toxic vapour so never use indoors, produces hydrogen so no naked flames / smoking anywhere near this operation, high corrosive so don't let it get on your skin or in your eyes. If you go down this route do some research first. Carry out this procedure at your own risk...I'd pretty much call this an action of last resort...
Long blade cutting method:
These links are an example of a non-professional home mechanic / bodger carrying out chemical seat post removals:
Don't wear shorts....
AT YOUR OWN RISK...!