Create a group of four compound statements, similar to Exercise 6.5, III, 2, such that: (1) the compound statements as a whole contain at least four simple statements, (2) one of the compound statements is a conjunction, (3) at least two compound statements have three or more simple components, and (4) each compound statement shares a simple statement in common with another compound statement in the group. Use an indirect truth table to test the group of compound statements for consistency. If the compound statements are consistent, construct a similar group of compound statements that turns out inconsistent, and vice versa.

Exercise 6.5 III:

Use indirect truth tables to determine whether the following groups of statements are consistent or inconsistent.