Is it possible to get an example in rust of a program that accepts an input as a series of premises followed by a deduction. The program then validates the deduction and determine whether it is valid or invalid. Once a determination has been made, the program will output the demonstration (proof) that the deduction was valid or invalid. Premises will be entered into the program a single line at a time followed by the deduction. (m b) j (f s) m b t f t f j