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Proof step 15 from proof abs-nodes-add-crash-aligned-h (previous step)

# buf0 = NODE_HEADER_SIZE, # buf = a.alignedsize, n < 2 * NODE_HEADER_SIZE + a.alignedsize, abs-nodes(subarray(buf0 + buf + validtrailer, 0, n), m, a ', @(m, 2 * NODE_HEADER_SIZE + a.alignedsize) ', boolvar), is-aligned(n, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), is-encoded(a, subarray(buf, 0, node-size-headerless(a))), is-encoded(nodeheader(node-size-headerless(a), false), buf0), ∀ buf, buf1, a, n, m, x, lax, boolvar. # buf < # mkbuf(0) → # 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 ⊦ buf0 + buf + validtrailer = mkbuf(0), n = 2 * NODE_HEADER_SIZE + a.alignedsize

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ abs-nodes(buf, m, a ', lax, weak) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ ( abs-padding(buf0) ∧ abs-nodes(buf1, m + # buf0, a ', lax, weak) ∨ lax = @(m, a.flashsize) ' ∧ abs-node(buf0, a) ∧ abs-nodes(buf1, m + # buf0, [], [], weak)))
Proof step 17:
# buf = a.alignedsize, # buf0 = NODE_HEADER_SIZE, n < 2 * NODE_HEADER_SIZE + a.alignedsize, is-aligned(m, NODE_HEADER_SIZE), is-aligned(n, NODE_HEADER_SIZE), is-encoded(nodeheader(node-size-headerless(a), false), buf0), is-encoded(a, subarray(buf, 0, node-size-headerless(a))), ∃ buf2, buf1. subarray(buf0 + buf + validtrailer, 0, n) = buf2 + buf1 ∧ ( abs-padding(buf2) ∧ abs-nodes(buf1, m + # buf2, a ', @(m, 2 * NODE_HEADER_SIZE + a.alignedsize) ', boolvar) ∨ @(m, 2 * NODE_HEADER_SIZE + a.alignedsize) ' = @(m, a.flashsize) ' ∧ abs-node(buf2, a) ∧ abs-nodes(buf1, m + # buf2, [], [], boolvar)), ∀ buf, buf1, a, n, m, x, lax, boolvar. # buf < # mkbuf(0) → # 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 ⊦ buf0 + buf + validtrailer = mkbuf(0), n = 2 * NODE_HEADER_SIZE + a.alignedsize

Rule argument

spec: <toplevel> name: abs-nodes-one-h seq: ⊦ abs-nodes(buf, m, a ', lax, weak) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ ( abs-padding(buf0) ∧ abs-nodes(buf1, m + # buf0, a ', lax, weak) ∨ lax = @(m, a.flashsize) ' ∧ abs-node(buf0, a) ∧ abs-nodes(buf1, m + # buf0, [], [], weak))) subst: [weak, lax, a, m, buf] → [boolvar, @(m, 2 * NODE_HEADER_SIZE + a.alignedsize) ', a, m, subarray(buf0 + buf + validtrailer, 0, n)] flags: <all paths>

Additional information

Used terms: boolvar, @(m, 2 * NODE_HEADER_SIZE + a.alignedsize) ', a, m, subarray(buf0 + buf + validtrailer, 0, n)