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Proof step 64 from proof abs-nodes-add-crash-aligned-h (previous step)

# buf5 = NODE_HEADER_SIZE, # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, # buf6 = NODE_HEADER_SIZE, # buf5 = # buf6, buf5 = buf6, subarray(buf4 + validtrailer, 0, n0) = (buf + validtrailer) + buf0, n0 < NODE_HEADER_SIZE + # buf4, abs-node(buf1, a), abs-nodes(buf2, 2 * NODE_HEADER_SIZE + m + # buf4, [], [], false), abs-nodes(buf0, 2 * NODE_HEADER_SIZE + m + # buf, a ', @(2 * NODE_HEADER_SIZE + m + # buf4 + # buf2, # buf1) ', boolvar), is-aligned(# buf, 2 * NODE_HEADER_SIZE), is-aligned(n0, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), is-aligned(# buf4, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(# buf, true), buf6), is-encoded(nodeheader(# buf4, true), buf5), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #((buf5 + buf4 + validtrailer) + buf2) → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf3 + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf3 + buf1, 0, n), m, x + a ', lax + @(m + # buf3, # buf1) ', boolvar) ∧ abs-nodes(buf3, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf3 + # buf1 ⊦ buf5 + buf4 + validtrailer = mkbuf(0), NODE_HEADER_SIZE + # buf4 + # buf2 + # buf1 = n0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, # buf6 = NODE_HEADER_SIZE, # buf = # buf4, subarray(buf4 + validtrailer, 0, n0) = (buf + validtrailer) + buf0, n0 < NODE_HEADER_SIZE + # buf4, abs-node(buf1, a), abs-nodes(buf0, 2 * NODE_HEADER_SIZE + m + # buf4, a ', @(2 * NODE_HEADER_SIZE + m + # buf4 + # buf2, # buf1) ', boolvar), abs-nodes(buf2, 2 * NODE_HEADER_SIZE + m + # buf4, [], [], false), is-aligned(m, NODE_HEADER_SIZE), is-aligned(n0, NODE_HEADER_SIZE), is-aligned(# buf4, 2 * NODE_HEADER_SIZE), is-encoded(nodeheader(# buf4, true), buf6), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #((buf6 + buf4 + validtrailer) + buf2) → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf3 + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf3 + buf1, 0, n), m, x + a ', lax + @(m + # buf3, # buf1) ', boolvar) ∧ abs-nodes(buf3, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf3 + # buf1 ⊦ NODE_HEADER_SIZE + # buf4 + # buf2 + # buf1 = n0, buf6 + buf4 + validtrailer = mkbuf(0)

Rule argument

Additional information

Used simplifier rules: ⊦ nodeheader(m, boolvar) = nodeheader(m0, boolvar0) ↔ m = m0 ∧ (boolvar ↔ boolvar0); (ws)% ⊦ is-encoded(ndhd, buf) → (is-encoded(ndhd0, buf) ↔ ndhd = ndhd0); (s)