Remove it with hot water and Dif wallpaper removal liquid

Have you tried calling a professional wallpaper remover?

If it is fatally adhered, try putting yet another layer over it. This time, choose a paintable textured wallpaper. There are more modern patterns available from new brands, or look at Anaglypta. Fake beadboard, for example. https://www.houzz.com/photos/anaglypta-phbr0lbl-bl~l_7764

Try paneling with a light wood stain paneling. Use Gorilla (tm) glue, not nails, to hold up the paneling, that way the paneling won't buckle

crown molding?

The paneling is a great idea! I've got Gorilla glue galore already. The layers are so deep that I can see bunny rabbits on the first layer and the children of the family that own the house are in their 30's. @-@ It's just been added to and added to for that long. If it weren't for the fact that the new tenants are starting to move in this coming week, I'd take more time and effort to remove it but this is down to the wire and very low on the list of "to do's" - Kitchen, I used another spray of wallpaper remover and got as much as I could. Sanded and chose a gray that matches the stainless. I was so determined to get this done tonight. I found some black and some off white paint and just mixed my own color. Turned out perfect and cost $0. Found in garage. I'll use same color for the paneling.

The charcoal paint is quite a defining look to the soffit now. Where would the panelling be installed? Was the whole kitchen surrounded with the border?

Yes, quite defining! The tenant has black kitchen furniture and the floors are a white with small black-dark gray squares. The wallpaper trim was not on the yellow walls... just the soffit. The other photo is from the bedroom and that is where I think the paneling will be a good idea. It's too thick now to add another layer of anything paper, because it's torn and also dirty, So far a cheap thin paneling seems a good idea - I can get it cut in the lumber department. I'm sure they'll help instruct me. I'm still open to ideas. Not to remove it but how to cover it up. Today I attack that room and these late nights have me draggin'. ;-) As you can see I need to paint under the soffit, and then a second coat of the gray and yellow if I think it needs it. I loved whipping up my own color because it matches almost perfectly what she had picked herself. I bet she'll never know I mixed it myself. Such a money saver. I'm all about doing things on a dime considering I think I'll get a good result.

Sounds like you're on a roll!

apple-pie makes an excellent point about gorrila glue. Unless you plan for this to be a permanent solution you might consider using staples or paneling nails.

OK.. now I'm back to stage 1. Think I'll put up adhesive backed drawer liner with thumbtacks!!! ;-) Of course, I'd scallop the edges.

Tissue painting is easy, fast and inexpensive to do. You can go over the top of the wall paper and will hide many imperfections on walls. See photo.

Sherwin Williams Paints offers many faux painting techniques like Texured Fresco , Smooth Fresco , Textured Metallic , Crackle , Leaf , and Tissue Paper. Sherwin William has "How-to-do" video on there websites.
http://www.sherwin-williams.com/homeowners/products/catalog/faux_impressions_latex_glaze/