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1
Adjust oven rack to lower-middle position and preheat oven to 350u00b0F.
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2
Place cauliflower on a 13- by 9-inch baking sheet in a single layer. Toss with 3 tablespoons olive oil, 2 1/2 tablespoons sherry vinegar, 1/2 teaspoon salt, 1/2 teaspoon pepper, and pimenton. Transfer to oven to roast, tossing halfway through, until tender and browned, 35 to 40 minutes.
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3
While the cauliflower is cooking, add mushrooms, rosemary, thyme, remaining 2 tablespoons olive oil and remaining 1 tablespoon sherry vinegar to a medium, oven-safe baking dish. Season with salt and pepper, toss to combine and transfer to the oven to roast until liquid evaporates and mushrooms are nicely browned, 25 to 30 minutes
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4
On another baking sheet lined with foil and sprayed with cooking spray, place sliced ham in a single layer. Spray the side facing up with a thin coating of cooking spray and place in oven to crisp, about 10 minutes.
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5
Remove cauliflower, mushrooms and ham from the oven. Discard rosemary and thyme and cover mushrooms to keep them warm. Transfer cauliflower to a blender. Add milk and pulse to combine. Season to taste with salt and pepper, then puree until smooth, adding additional liquid as needed to create a smooth, creamy soup. If necessary, heat soup in a large pot after blending.
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6
Ladle soup into individual bowls, and garnish with a ham crisp and mushrooms. Serve immediately.