وَسُؤْرُ الْآدَمِيِّ وَمَا يُؤْكَلُ لَحْمُهُ طَاهِرٌ
Translation: The leftover water of a human being and of an animal whose meat is lawful is pure.
Water left after a human drinks is originally pure, as is the leftover of cattle, goats and other edible animals. Their saliva is not intrinsically impure.
Actual contamination transferred from the mouth is a separate case.