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Handbook of Automated Reasoning by Andrei Voronkov, Alan J.A. Robinson

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5 Global Design Decisions

5.1 Main-Loop

The main-loop without splitting, Table 4, is a generalization of the main-loop introduced in Section 3, Table 1.

Table 4

The Overall Loop without Splitting

1 Prover(N)
2   W o : = si8_e ;
3  Us := ired(N,N);
4  While ( U s and U s ) { si9_e
5   (Given, Us)   := choose(Us);
6   Wo     := Wo ∪ {Given};
7   New     := inf (Given, Wo);
8   (New, Wo, Us)  := ired(New, Wo, Us);
 9 }
10  If ( U s = ) then print “Completion Found”;
11  If ( ∈

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