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

is-aligned(n, NODE_HEADER_SIZE), n ≤ # buf, # buf = 0 ∧ [] = [] ∨ (∃ buf0, buf1. buf = buf0 + buf1 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, m + # buf0, [], [], true)) ∨ true ∧ abs-failed(buf) ∧ [] = [], ∀ buf0, m, x, lax, n. # buf0 < # buf → abs-nodes(buf0, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf0 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf0, 0, n), m, x0, lax0, true)) ⊦ abs-nodes(subarray(buf, 0, n), m, [], [], true)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
is-aligned(n, NODE_HEADER_SIZE), n ≤ # buf, buf = mkbuf(0) ∨ buf = buf0 + buf1 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, m + # buf0, [], [], true) ∨ abs-failed(buf), ∀ buf0, m, x, lax, n. # buf0 < # buf → abs-nodes(buf0, m, x, lax, true) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ n ≤ # buf0 → (∃ x0, lax0. x0 ⊑ x ∧ lax0 ⊑ lax ∧ abs-nodes(subarray(buf0, 0, n), m, x0, lax0, true)) ⊦ abs-nodes(subarray(buf, 0, n), m, [], [], true)

Rule argument

Additional information

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