Prefix: Dissatisfy

Suffix: Satisfiable

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Bronze is a very popular metal for casting bells

Refuse to be too nice and desperate for him. Demand an explanation, or else ignore him and don't be all trusting until he gives a satisfiable reason.

In computational complexity theory, Cook's theorem, also known as the Cook–Levin theorem, states that the Boolean satisfiability problem is NP-complete. That is, any problem in NP can be reduced in polynomial time by a deterministic Turing machine to the problem of determining whether a Boolean formula is satisfiable.