Does Spirit of Resistance require you to have one card of each color or does a single card with all 5 colors satisfy its requirement?
As long as you control a permanent of each color, prevent all damage that would be dealt to you.
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If you look at the rulings at the bottom of the linked Gatherer page (again for reference), you'll see the following ruling for this card:
10/4/2004: A permanent which is of multiple colors counts as each of its colors.