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Proof step 471 from proof bitsand-cast (previous step)

¬(# mklist(true, # bits0) = # bits0 ∧ bits2 ≠ [] ∧ bits4 ≠ [] ∧ mklist(true, # bits0) ≠ []), sgn(mklist(true, # bits0) + true ' + false ' + bits) = true ' + false ' + bits, # bits1 = 2 + # bits ⊦ (bits4 + bits0) + bits1 = [], bits1 = [], lastn(2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, (bits4 + bits0) + bitsand(bits1, true ' + false ' + bits))) = lastn (2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, bitsand(bits2 + mklist(true, # bits0), bits4 + bits0) + bitsand(bits1, true ' + false ' + bits))), bits2 + mklist(true, # bits0) = [], bits4 + bits0 = [], bits4 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 472:
sgn(mklist(true, # bits0) + true ' + false ' + bits) = true ' + false ' + bits, # bits1 = 2 + # bits ⊦ (bits4 + bits0) + bits1 = [], bits1 = [], lastn(2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, (bits4 + bits0) + bitsand(bits1, true ' + false ' + bits))) = lastn (2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, bitsand(bits2 + mklist(true, # bits0), bits4 + bits0) + bitsand(bits1, true ' + false ' + bits))), bits2 + mklist(true, # bits0) = [], bits4 + bits0 = [], bits4 = [], bits2 ≠ [] ∧ bits0 ≠ []

Rule argument

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ # mklist(boolvar, n) = n;