TAOCP 7.2.2.2 Exercise 249

I need the definitions of **Algorithm I**, **Cook's Method IA**, and the formula or clause set labeled **(112)** from the section before I can produce a rigorous solution to Exercise 7.

Section 7.2.2.2: Satisfiability

Exercise 249. [18] [18] Apply Algorithm I to (112) using Cook's Method IA.

Verified: no
Solve time: 1m17s


I need the definitions of Algorithm I, Cook's Method IA, and the formula or clause set labeled (112) from the section before I can produce a rigorous solution to Exercise 7.2.2.2.249.

The provided context includes Exercises 246–249, but it does not include the text containing equation (112) or the exact steps of Algorithm I and Cook's Method IA. Since the exercise specifically asks to apply that algorithm to that instance, the intermediate clauses and choices depend on those missing definitions.

Please provide the relevant excerpt containing:

  1. the clause set/formula labeled (112),
  2. the statement of Algorithm I,
  3. the description of Cook's Method IA.

With those, I can write the complete TAOCP-style solution under the requested format.