I was away for several days, during which we had below zero temperatures. When I returned home I discovered standing water in both sinks in my kitchen. I called a drain guy to come and check for a clog. He took over the pipe to the wall and put the snake in. He could only get it to go about 3 ft before it stopped. It made a grinding noise while he tried to make it go further. He then informed me that the drain pipe was frozen. I find this weird because the hot and cold water work fine.

Could the pipe actually be frozen, or could this be a bad clog?