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Proof step 166 from proof abs-nodes-add-crash-aligned-h (previous step)

# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, lax.head = @(m0, m1), m0 = m, m1 = # buf2, n0 < # buf + # buf1, abs-node(buf1, a), abs-node(buf2, a0), abs-nodes(buf2 + subarray(buf + buf1, 0, n0), m, (a0 ' + x0) + a ', lax + @(m + # buf2 + # buf, # buf1) ', boolvar), abs-nodes(buf, m + # buf2, x0, lax.tail, false), is-aligned(n0 + # buf2, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #(buf2 + buf) → # 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 ⊦ lax = [], n0 = # buf + # buf1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 167:
# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, # buf2 = a0.alignedsize + 2 * NODE_HEADER_SIZE, lax.head = @(m, # buf2), n0 < # buf + # buf1, abs-node(buf2, a0), abs-node(buf1, a), abs-nodes(buf, m + # buf2, x0, lax.tail, false), abs-nodes(buf2 + subarray(buf + buf1, 0, n0), m, (a0 ' + x0) + a ', lax + @(m + # buf2 + # buf, # buf1) ', boolvar), is-aligned(m, NODE_HEADER_SIZE), is-aligned(n0, NODE_HEADER_SIZE), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #(buf2 + buf) → # 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 ⊦ lax = [], n0 = # buf + # buf1

Rule argument

Additional information

Used simplifier rules: ls-abs-node-buf-size: ⊦ abs-node(buf, nd) → # buf = nd.alignedsize + 2 * NODE_HEADER_SIZE;%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%m ≠ 0, is-aligned(n1, m) ⊦ is-aligned(n0 + n1, m) ↔ is-aligned(n0, m); (s)% ⊦ abs-node(buf, nd) → is-aligned(# buf, NODE_HEADER_SIZE); (ss)% ⊦ NODE_HEADER_SIZE ≠ 0; (s)