If cement or plaster becomes ritually impure (najis) and is then stepped upon, transferring its trace to a wet floor, and then the floor dries with the trace of the cement remaining, and a chair touches this trace and is then placed on a carpet, does this trace become pure (tahir) through drying and is it considered part of the earth, like dust, or is it obligatory to wash the feet and the place on the carpet where the chair was?

What you have mentioned is an extremism that is forbidden, and your action is incorrect for three reasons:

1. The default state of things is purity: Doubt about the transfer of impurity should not be heeded, and the default state of things is that they remain pure until the contrary is certain, as indicated by the hadith "He should not leave (his prayer) until he hears a sound or finds a smell," and as stated by Al-Nawawi, Al-Qarafi, Ibn Taymiyyah, and the Permanent Committee. 2. Dry impurity: If a dry object comes into contact with a dry impurity, the original principle is that the impurity does not transfer to it. 3. Minor impurity: Even if the transfer of impurity were certain, it would be very minor, and such a matter is excused and should not be treated with strictness.

The questioner is advised to consult a psychiatrist to treat obsessive-compulsive disorder, or to gain a broader understanding of religion to address excessive scrupulosity and extremism, for the Prophet, peace and blessings be upon him, said: "The extremists are doomed."