Kenmore Elite washer stops during rinse cycle

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Brand: Kenmore Elite
Model Number: 110.26962503
Main Symptom: Stops during rinse cycle.
What happens & when: Washer stops halfway through rinse portion of cycle. Timer assembly and lid switch have been replaced. Washer is around 20 years old.

Error Code (if any): none
Parts or tests already tried: Replaced timer and lid switch
Photos / video link:

Check the inlet valves to make sure you have cold and hot water. If the cold water valve is bad, it will not put water in on the rinse cycle and it would stop.

I would lean toward replacing the inlet valve assembly. It has a thermistor that monitors the water temperature.WP3979346 Washer Water Inlet Valve Assembly | Genuine Whirlpool OEM In Stock