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Proof step 46 from proof abs-nodes-add-crash-aligned-h (previous step)

# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, n < (# buf + # buf2) + # buf1, n < # buf, abs-node(buf1, a), abs-nodes(buf2, m + # buf, [], [], false), abs-padding(buf), is-aligned(n, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), ∃ buf0, buf3. subarray(buf, 0, n) = buf0 + buf3 ∧ ( abs-padding(buf0) ∧ abs-nodes(buf3, m + # buf0, a ', @(m + # buf + # buf2, # buf1) ', boolvar) ∨ @(m + # buf + # buf2, # buf1) ' = @(m, a.flashsize) ' ∧ abs-node(buf0, a) ∧ abs-nodes(buf3, m + # buf0, [], [], boolvar)), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #(buf + 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 ⊦ buf = mkbuf(0), n = (# buf + # buf2) + # buf1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 47:
# buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, subarray(buf, 0, n) = buf3 + buf0, n < # buf, n < (# buf + # buf2) + # buf1, abs-node(buf1, a), abs-nodes(buf2, m + # buf, [], [], false), abs-padding(buf), is-aligned(m, NODE_HEADER_SIZE), is-aligned(n, NODE_HEADER_SIZE), abs-padding(buf3) ∧ abs-nodes(buf0, m + # buf3, a ', @(m + # buf + # buf2, # buf1) ', boolvar) ∨ @(m + # buf + # buf2, # buf1) = @(m, # buf1) ∧ abs-node(buf3, a) ∧ abs-nodes(buf0, m + # buf3, [], [], boolvar), ∀ buf3, buf1, a, n, m, x, lax, boolvar. # buf3 < #(buf + 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 ⊦ buf = mkbuf(0), n = (# buf + # buf2) + # buf1

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic% ⊦ ladr ' = ladr0 ' ↔ ladr = ladr0; (s)% ⊦ nd.flashsize = 2 * NODE_HEADER_SIZE + nd.alignedsize; (s)