Final answer:
Using the method of successive information update in logic, we can determine that the given logical statement is true for all possible truth values of p, q, and r.
Step-by-step explanation:
The given logical statement can be represented as: (p -> (q ∧ ¬r)) -> (¬q ∨ r), ¬p, q ↔ r ⊨ r -> p(p -> (q ∧ ¬r)) -> (¬q ∨ r), ¬p, q ↔ r ⊨ r -> p.
In order to determine whether the given statement is true or false, we can use the method of successive information update in logic. This method involves considering all possible combinations of truth values for the variables p, q, r, and ¬p, ¬q, ¬r, and evaluating the statement using logical rules.
By systematically evaluating the statement for each combination of truth values, we can conclude that the statement is true for all possible truth values of p, q, and r.