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Your circuit is not complete. What are you doing with the + Input to the op amp?
Google "Comparator Circuits" and use a Comparator with hysteresis.
Thanks, will look it up.
You will need two resistors in series from the 12V to ground. The junction should be connected to the + terminal. A couple of 10k resistors would probably do.
The junction would be at 6V. The voltage of the junction of the sensing circuit will be above or below 6V so the amplifier will switch to high or low.
In order to get a strong switch without dither, hysteresis can be added. This could consist of a 1M resistor from amp output to the + pin. This gives rapid switching and a dead zone.
A fried brain should not stop you posting the entire circuit.
I have never met circuit wizard.
The relay driver circuit is not the usual one. Usually, the transistor emitter is connected to ground. A resistor is added to control the base current from the 741. The relay is connected between collector and positive supply. A diode must be placed across the relay to suppress high inductive voltages on switch off.
Tell us the specification of the relay (coil voltage and current) and of the transistor (maximum voltage, maximum current and gain).
If the operation is the reverse of what you want, then interchange the thermistor with the variable resistor.
That is rubbish.