Used simplifier rules: s-04: ⊦ m < n + 1 ↔ ¬ n < m;%a: ⊦ (m + n0) + n1 = m + n0 + n1;%c: ⊦ m + n = n + m;%ls-02: ⊦ m < n → ¬ n < m;%ls-03: ⊦ ¬ m < n → (n < m ↔ n ≠ m);