| 1 < j, 0 < i, 1 < i, 0 ≤ i, i < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1)', int2bits(j / 2) + (j % 2 = 1))), 1 < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1)', int2bits(j / 2) + (j % 2 = 1))), 0 < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1)', int2bits(j / 2) + (j % 2 = 1))), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ |
0 < i, 1 < i, 0 ≤ i, i < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1)', int2bits(j / 2) + (j % 2 = 1)')), 1 < j, 0 < j, 1 < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1)', int2bits(j / 2) + (j % 2 = 1)')), 0 < bits2int(bitsand(int2bits(i / 2) + (i % 2 = 1)', int2bits(j / 2) + (j % 2 = 1)')), ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦
Used simplifier rules: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ bits + boolvar = bits + boolvar ';