My 2010 Pontiac vibe starts and then the engine stops running 3 seconds later.

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The left blinker dashboard light stays on solid after engine dies. There was no sign that anything was wrong. I started my car to warm it up. 10 minutes later when I came out to leave, it wasn't running but all the lights were working. When I tried to start it again, it started and then the engine stops running 3 seconds later.