Sounds like you're thinking that the reason for the breakers flipping is the CompuPool. Is that why you are suggesting wiring the pump to the breaker without it? You think the pump will run as long as the CompuPool is not connected to it?

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By the way -- I should add that besides the battery back-up box for the personal computer in our office clicking a little (even though it is on a separate circuit), nothing else inside our house seems to be affected.