If parents are told that their unborn child has Tay–Sachs disease, then if they go ahead with the birth, then they are responsible for their child’s pain and suffering. Therefore, if parents are not responsible for their child’s pain and suffering, then if they go ahead with the birth, then they were not told that their unborn child had Tay–Sachs disease. (T, G, R)

Translate the following arguments into symbolic form and then use the eighteen rules of inference to derive the conclusion of each. Use the translation letters in the order in which they are listed.