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Proof step 52 from proof abs-nodes-crash-h (previous step)

# buf1 = NODE_HEADER_SIZE, is-aligned(n, NODE_HEADER_SIZE), is-aligned(# buf0, NODE_HEADER_SIZE), n ≤ NODE_HEADER_SIZE + # buf0, is-garbage-header(buf1) ∨ is-encoded(ndhd, buf1) ∧ # buf0 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE), ∀ buf2, m, x, lax, n. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf2 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf2, 0, n), m, x0, lax0, true)) ⊦ n = 0, ∃ buf3, buf2. subarray(buf1 + buf0, 0, n) = buf3 + buf2 ∧ abs-padding(buf3) ∧ abs-nodes(buf2, m + # buf3, [], [], true), # subarray(buf1 + buf0, 0, n) ≥ NODE_HEADER_SIZE ∧ is-aligned(# subarray(buf1 + buf0, 0, n), NODE_HEADER_SIZE) ∧ (∃ buf3, buf2. subarray(buf1 + buf0, 0, n) = buf3 + buf2 ∧ # buf3 = NODE_HEADER_SIZE ∧ (is-garbage-header(buf3) ∨ (∃ ndhd. is-encoded(ndhd, buf3) ∧ # buf2 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE))))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
# buf1 = NODE_HEADER_SIZE, is-aligned(# buf0, NODE_HEADER_SIZE), is-aligned(n, NODE_HEADER_SIZE), n ≤ NODE_HEADER_SIZE + # buf0, is-garbage-header(buf1) ∨ is-encoded(ndhd, buf1) ∧ # buf0 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE), ∀ buf2, m, x, lax, n. # buf2 < #(buf1 + buf0) → abs-nodes(buf2, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf2 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf2, 0, n), m, x0, lax0, true)) ⊦ n = 0, ∃ buf3, buf2. subarray(buf1 + buf0, 0, n) = buf3 + buf2 ∧ abs-padding(buf3) ∧ abs-nodes(buf2, m + # buf3, [], [], true), ∃ buf3, buf2. subarray(buf1 + buf0, 0, n) = buf3 + buf2 ∧ # buf3 = NODE_HEADER_SIZE ∧ (is-garbage-header(buf3) ∨ (∃ ndhd. is-encoded(ndhd, buf3) ∧ # buf2 ≤ align↑(ndhd.size, 2 * NODE_HEADER_SIZE)))

Rule argument

Additional information

Used simplifier rules: m ≠ 0 ⊦ is-aligned(n, m) → (m ≤ n ↔ n ≠ 0); (s)% ⊦ NODE_HEADER_SIZE ≠ 0; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ # subarray(buf, m, n) = n; (s)