1 8-ounce package cream cheese, at room temperature
1/2 cup mayonnaise
2 tablespoons ketchup
1 tablespoon horseradish, drained
1 tablespoon relish
2 cups grated Swiss cheese (about 8 ounces)
2 ounces deli-sliced corned beef, chopped
1/2 cup sauerkraut, drained, patted dry and chopped
1/4 cup chopped fresh chives
Pumpernickel bread, for serving