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Proof step 21 from proof abs-nodes-unique-weak-h (previous step)

lax1.head = @(m0, m1), m0 = m + # buf0, m1 = # buf2, abs-node(buf2, nd), abs-nodes(buf2 + buf, m + # buf0, [], [], true), abs-nodes(buf, (m + # buf0) + # buf2, x2, lax1.tail, true), abs-padding(buf0), ∀ buf3, m, x0, lax0, x1, lax1. # buf3 < #(buf0 + buf2 + buf) → abs-nodes(buf3, m, x0, lax0, true) ∧ abs-nodes(buf3, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ lax1 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
# buf2 = nd.alignedsize + 2 * NODE_HEADER_SIZE, lax1.head = @(m + # buf0, # buf2), abs-node(buf2, nd), abs-nodes(buf, (m + # buf0) + # buf2, x2, lax1.tail, true), abs-nodes(buf2 + buf, m + # buf0, [], [], true), abs-padding(buf0), ∀ buf3, m, x0, lax0, x1, lax1. # buf3 < #(buf0 + buf2 + buf) → abs-nodes(buf3, m, x0, lax0, true) ∧ abs-nodes(buf3, m, x1, lax1, true) → x0 = x1 ∧ lax0 = lax1 ⊦ lax1 = []

Rule argument

Additional information

Used simplifier rules: ls-abs-node-buf-size: ⊦ abs-node(buf, nd) → # buf = nd.alignedsize + 2 * NODE_HEADER_SIZE;