Slide the knife between the Formica and the countertop.
Slowly pull back the Formica, using the glue solvent as necessary
Apply pressure where the Formica is still in place to help provide leverage.
Repairing the Formica
Remove any dirt between the two surfaces and ensure the area is dry.
Coat both the counter surface and the underside of the Formica with contact cement.
Prop up the Formica with the dowel rods, keeping it from touching the counter surface.
Allow the contact cement to dry. Once dry, it will bond with itself, meaning the bottom of the Formica can be reattached to the counter surface.
Remove the dowel rods and slowly push the Formica back in contact with the countertop, paying special attention to push out any bubbles.
Place a heavy object on the Formica to ensure the contact cement bonds properly.
Leave the contact cement to dry for 24 hours.
Apply water sealant to the edges of the Formica to ensure no additional moisture gets in.