Chevrolet Lumina 1995

Turn key so dash lights are on theft should start to flash let it flash till it stays on about ten minutes. Key off try and start if no start repeat

This is a Passkey system and not a Passlock so the relearn is not going to work. This is the type with the pellet in the key.
The most common failure in these is the sensor in the ignition lock that reads the key pellet. That would mean replacing the ignition lock with a sensor included and the Passlock Decoder Module.

That sensor can be bypassed. You would need a digital ohmmeter to measure the resistance of the pellet in the key. Now go to Radio Shack and buy a resister of the exact same value as the key pellet. Go to the base of the steering column and locate the two thin white wires that go up to the sensor. Cut the two wires and solder the resister between the two ends coming from the harness. This will permanently bypass the sensor but not the rest of the system.

Here are the possible resister values for that vehicle