Exercise Equipment Repair Questions? Ask a Technician
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Your treadmill was being sold because of that problem, no doubt. It has a short circuit in it, or an overload on the power supply (same thing, by and large), and that's why it shuts off again - protectively, against something burning out.
One way of testing to find out what is shorted, is to unplug various electric and electronic parts from the power supply inside the treadmill, and see which part, being unplugged, allows functioning again.