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Proof step 4 from proof abs-nodes-valid-node (previous step)

x = [], is-encoded(nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf ⊦ abs-nodes(buf, n, x, lax, weak) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ ( boolvar0 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, x, lax, weak) ∨ # buf0 = 2 * NODE_HEADER_SIZE + x.head.alignedsize ∧ x ≠ [] ∧ lax ≠ [] ∧ lax.head = @(n, # buf0) ∧ ¬ boolvar0 ∧ abs-node(buf0, x.head) ∧ abs-nodes(buf1, n + # buf0, x.tail, lax.tail, weak)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
abs-nodes(buf, n, [], [], weak), is-encoded(nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf ⊦ ∃ buf0, buf1. buf = buf0 + buf1 ∧ boolvar0 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, [], [], weak)

Rule argument

Additional information

Used simplifier rules: abs-nodes-padding-prefix: ⊦ abs-padding(buf0) → ( abs-nodes(buf0 + buf1, m, x, lax, weak) ↔ abs-nodes(buf1, m + # buf0, x, lax, weak));%abs-nodes-elems-empty-adr-empty-h: ⊦ abs-nodes(buf, m, [], lax, weak) → lax = [];%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]