I bought some more items at the Poke Mart, then I headed back to Silph Co. I got to the third and fourth floor and I had to battle against some more Team Rocket grunts. I spent a long time in there, then I warped into another room and I picked up items. I talked to the various employees who were trapped inside the building, then I began to open doors once I had obtained a key. I collected more items, then I got into a room and I met my rival. We had a battle, then I collected the gift Lapras from one of the employees. I left to the Saffron City Pokemon Center afterwards and I healed my Pokemon. I then climbed back up the tower but I lost my way, so I had to backtrack. I eventually reached the 11th floor and I saved.