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Proof step 9 from proof abs-nodes-add-crash-aligned-h (previous step)

# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, n < # buf0 + # buf1, abs-node(buf1, a), abs-nodes(subarray(buf0 + buf1, 0, n), m, a ', @(m + # buf0, # buf1) ', boolvar), is-aligned(m, NODE_HEADER_SIZE), is-aligned(n, NODE_HEADER_SIZE), # buf0 = 0 ∧ [] = [] ∨ (∃ buf2, buf1. buf0 = buf2 + buf1 ∧ abs-padding(buf2) ∧ abs-nodes(buf1, m + # buf2, [], [], false)) ∨ false ∧ abs-failed(buf0) ∧ [] = [], ∀ buf, buf1, a, n, m, x, lax, boolvar. # buf < # buf0 → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf + buf1, 0, n), m, x + a ', lax + @(m + # buf, # buf1) ', boolvar) ∧ abs-nodes(buf, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf + # buf1 ⊦ n = # buf0 + # buf1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, n < # buf0 + # buf1, abs-node(buf1, a), abs-nodes(subarray(buf0 + buf1, 0, n), m, a ', @(m + # buf0, # buf1) ', boolvar), is-aligned(n, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), buf0 = mkbuf(0) ∨ buf0 = buf + buf2 ∧ abs-padding(buf) ∧ abs-nodes(buf2, m + # buf, [], [], false), ∀ buf, buf1, a, n, m, x, lax, boolvar. # buf < # buf0 → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf + buf1, 0, n), m, x + a ', lax + @(m + # buf, # buf1) ', boolvar) ∧ abs-nodes(buf, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf + # buf1 ⊦ n = # buf0 + # buf1

Rule argument

Additional information

Used simplifier rules: ⊦ # buf = 0 ↔ buf = mkbuf(0); (s)