Problem Set: first_order_intro

Socrates

A logic problem by Brandon Bennett

Your problem is to use first-order logic to represent the following example of reasoning, and use the Prover9 theorem prover to prove that the reasoning is valid.

Use the following template file to create your Prover9 encoding of the problem: socrates.p9

Marks: There are two marks for each sentence, making a total of 8 marks.

Problem Statement

A1 Socrates is Greek.
A2 All Greeks are men.
A3 All men are mortal.
Goal Socrates is mortal.

Non-Logical Vocabulary

Predicates: Greek, Man, Mortal

Constants: Socrates