| # bits1 = # bits4, ∀ bits2, bits0, bits, bits3. # bits3 < #(bits4 + boolvar ') → # bits = # bits3 → bits0 = [] ∨ bits2 = [] ∨ bits = [] ∨ bitsand(bits0 + bits, bits2 + bits3) = bitsand(bits0, bits2) + bitsand(bits, bits3) ⊦ bits2 = [], bits0 = [], bitsand(bits0 + bits1, bits2 + bits4) + (boolvar0 ∧ boolvar)' = bitsand(bits0, bits2) + bitsand(bits1 + boolvar0 ', bits4 + boolvar ') |
⊦ 1 < # bits ∧ 1 < # bits0 → bitsand(bits, bits0) = bitsand(bits.butlast, bits0.butlast) + (bits.last ∧ bits0.last)
¬(1 < #(bits1 + boolvar0 ') ∧ 1 < #(bits4 + boolvar ')), # bits1 = # bits4, ∀ bits2, bits0, bits, bits3. # bits3 < #(bits4 + boolvar ') → # bits = # bits3 → bits0 = [] ∨ bits2 = [] ∨ bits = [] ∨ bitsand(bits0 + bits, bits2 + bits3) = bitsand(bits0, bits2) + bitsand(bits, bits3) ⊦ bits2 = [], bits0 = [], bitsand(bits0 + bits1, bits2 + bits4) + (boolvar0 ∧ boolvar)' = bitsand(bits0, bits2) + bitsand(bits1 + boolvar0 ', bits4 + boolvar ')
1 < #(bits1 + boolvar0 ') ∧ 1 < #(bits4 + boolvar '), # bits1 = # bits4, ∀ bits2, bits0, bits, bits3. # bits3 < #(bits4 + boolvar ') → # bits = # bits3 → bits0 = [] ∨ bits2 = [] ∨ bits = [] ∨ bitsand(bits0 + bits, bits2 + bits3) = bitsand(bits0, bits2) + bitsand(bits, bits3) ⊦ bits2 = [], bits0 = [], bitsand(bits0 + bits1, bits2 + bits4) + (boolvar0 ∧ boolvar)' = bitsand(bits0, bits2) + (bitsand((bits1 + boolvar0 ').butlast, (bits4 + boolvar ').butlast) + ((bits1 + boolvar0 ').last ∧ (bits4 + boolvar ').last))
Used terms: bits4 + boolvar ', bits1 + boolvar0 '