Can impurity on the sole of a shoe be overlooked, and can the same rule be applied to cleaning tools? Is it permissible to pray on a prayer rug placed over a wet or dry impure spot? How can water separated from impurity be distinguished in terms of taste and smell? Is it permissible to adopt the view that wet or moist impurity does not transfer to dry, pure items unless the clothes to which it is transferred are squeezed?

It appears the questioner is afflicted with waswasah (obsessive whispering) concerning matters of purity (taharah) and impurity (najasa). The optimal treatment for this is to distract oneself from it. The questioner may adopt the view of those who permit leniency regarding the impurity of water and soil contaminated in roads due to the difficulty of avoiding them, thus making their footwear pure. The default state of the ground and carpets is purity, and prayer is permissible on anything whose impurity is not known, based on the Prophet's (PBUH) saying: "The earth has been made for me a place of prayer and a means of purification." The passing of shoes over tiles does not prevent prayer on them unless their impurity is confirmed. Cleaning tools, such as mops, are pure by default unless their impurity is certain. The principle is that impurity does not transfer from one object to another except with certainty. Some scholars do not consider impurity to transfer if one of the two touching objects is wet and the other is impure. It is permissible for someone afflicted with waswasah to adopt the easier and more lenient opinion in matters concerning which they experience waswasah. It is advisable for someone experiencing waswasah to adhere to supplication and humility, to distract themselves from the whispers, and to consult a trusted psychiatrist.