Is it obligatory for one who doubts the ritual purity of water discharged from an automatic washing machine, or the ritual purity of a part of his garment that touched his body, to wash it as a precaution? And what is the ruling on one who disregards these continuous doubts and whispers concerning purification and prayer?

The default status of water discharged from a washing machine and pants is purity. A ruling of impurity is only made with absolute certainty, because certainty is not dispelled by doubt. As for the intention of cleaning the garment, nothing results from it. It is recommended to supplicate and consult a specialized psychiatrist to get rid of obsessive thoughts.