Sounds like its the ASD Relay (Auto ShutDown). Its kicking on long enough to start and run for afew then kicking back off allowing no volts to reach the coil and that means no spark... the ASD Relay also can cut the volts to the fuel pump.
incorrect ignition timing, no fuel pressure, or no spark.
Check for spark, fuel, compression Check ignition timing
yes it does, every car has spark plugs or it wouldn't start.
I would recommend checking the dist.cap and rotor .It could be carbonized which quite possibly could be the problem. Also check all of the spark plugs and wires while your at it.
no spark died while driving shortly after start yes has fuel pressure.
start with dist cap and rotor
Did you check to see if the coil was receiving any power? If its not it might be a bad wire, or possibly the ASD Relay.
check the spark plugs. may not be catching fire.
It's either not getting fuel or spark is the reason it won't start.
Recently had same experience with my dodge and escort. in the escort it was the distributor and the dodge was the brainAnswerCheck your ignition module in your distributor that is a good place to start.
Fuel, Spark, Compression?
Might be the spark plugs or wires... when the vehicle heats up, the wires expland and they break apart making very little to no spark until the wires cool down and contract, restoring the connection.