If it is remotely similar to the Satellite, to split the case you need to 
remove all the screws from the bottom, remove the keyboard, remove a few 
more screws on the top.  I'm gathering you've done that.

There is one screw hidden under a rubber plug on top, fairly near the 
latching mechanism  Perhaps you are overlooking that one or one like it.

Force should not be needed.

Good luck..

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