Use prolog for the coding Using prolog write a predicate to guess a number interactively from 1 to 100 in at most 4 tries. Output can be obtained with predicates write(X) and nl, and input with predicate read(X) (integer input will be followed by a “.”). The secret number can be hardcoded.

Note that for this question, you can in addition use ``land” for the symbol ``lor" for the symbol V ` `Inot" for the symbol ¬ Given the following three sentences: A) Every mathematician is married to an engineer. B) A bachelor is not married to anyone. C) If George is a mathematician, then he is not a bachelor. a) Convert A,B,C into three FOL sentences, where Mn(x): x is a mathematician. Er(x): x is an engineer. Md(x,y): x is married to y. Br(x): x is a bachelor. george: George is a constant. b) Show that A does-not-entail C. (Hint: Consider defining an interpretation / such that / models A, but does-not-model C.) c) Show that {A,B} entails C. (Hint: For a given interpretation I, consider two difference cases, the case where Mn(george) is true, and the case Mn(george) is false. For both cases, argue that it is always that I models C). d) Convert A,B, Inot C into a set of clausal forms, number your clauses. (Note that C is negated here!) e) Derive the empty clause from the set of…