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Proof step 21 from proof abs-nodes-no-padding-last (previous step)

# buf0 = (x0 + a ').flashsize, # buf1 = a0.alignedsize + 2 * NODE_HEADER_SIZE, lax + ladr ' = @(m0, # buf1) ' + lax0, lax = [], abs-node(buf1, a0), abs-nodes(buf0, m0 + # buf1, x0 + a ', lax0, false), @(m0, # buf1) ∈ lax ∨ @(m0, # buf1) = ladr, ladr = @(m0, # buf1) ∨ ladr ∈ lax0, ∀ buf2, x, a, m, lax, ladr. # buf2 < #(buf1 + buf0) → # buf2 = (x + a ').flashsize ∧ abs-nodes(buf2, m, x + a ', lax + ladr ', false) → (∃ buf3, buf1. buf2 = buf3 + buf1 ∧ abs-nodes(buf3, m, x, lax, false) ∧ abs-node(buf1, a) ∧ ladr = @(# buf3 + m, 2 * NODE_HEADER_SIZE + a.alignedsize)) ⊦ ∃ buf3, buf2. buf1 + buf0 = buf3 + buf2 ∧ abs-nodes(buf3, m0, a0 ' + x0, lax, false) ∧ abs-node(buf2, a) ∧ ladr = @(# buf3 + m0, 2 * NODE_HEADER_SIZE + a.alignedsize)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
# buf0 = (x0 + a ').flashsize, # buf1 = a0.alignedsize + 2 * NODE_HEADER_SIZE, abs-node(buf1, a0), abs-nodes(buf0, m0 + # buf1, x0 + a ', [], false), ∀ buf2, x, a, m, lax, ladr. # buf2 < #(buf1 + buf0) → # buf2 = (x + a ').flashsize ∧ abs-nodes(buf2, m, x + a ', lax + ladr ', false) → (∃ buf3, buf1. buf2 = buf3 + buf1 ∧ abs-nodes(buf3, m, x, lax, false) ∧ abs-node(buf1, a) ∧ ladr = @(# buf3 + m, 2 * NODE_HEADER_SIZE + a.alignedsize)) ⊦ ∃ buf3, buf2. buf1 + buf0 = buf3 + buf2 ∧ abs-nodes(buf3, m0, a0 ' + x0, [], false) ∧ abs-node(buf2, a) ∧ @(m0, # buf1) = @(# buf3 + m0, 2 * NODE_HEADER_SIZE + a.alignedsize)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ladr ∈ []; (s)% ⊦ ladr ' = ladr0 ' + lax ↔ ladr = ladr0 ∧ lax = []; (ws)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ [] + lax = lax; (s)