Used simplifier rules: enc-zero-02: ⊦ encode(n) = 0 ↔ n = 0;%enc-zero-01: ⊦ encode(i) = 0 ↔ i = 0;% ⊦ encode(m, n) = 0 ↔ m = 0 ∧ n = 0; (ws)