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Proof step 18 from proof abs-nodes-subarray-failed (previous step)

# buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, # buf0 = x0.flashsize, n < # buf1 + x0.flashsize, n < # buf1, abs-node(buf1, nd), abs-nodes(buf0, m0 + # buf1, x0, lax0, false), is-aligned(n, NODE_HEADER_SIZE), ∀ buf2, x, n, m, lax. # buf2 < #(buf1 + buf0) → # buf2 = x.flashsize ∧ n < x.flashsize ∧ abs-nodes(buf2, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) → n = 0 ∨ x = [] ∨ (∃ n0. n0 < # lax ∧ abs-nodes(subarray(buf2, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true)) ⊦ buf1 + buf0 = mkbuf(0), buf1 = mkbuf(0), n = 0, ¬ # lax0 < 0 ∧ abs-nodes(subarray(buf1, 0, n), m0, prefixn(0, nd ' + x0), prefixn(0, @(m0, # buf1) ' + lax0), true)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
# buf0 = x0.flashsize, # buf1 = nd.alignedsize + 2 * NODE_HEADER_SIZE, n < # buf1, n < # buf1 + x0.flashsize, abs-node(buf1, nd), abs-nodes(buf0, m0 + # buf1, x0, lax0, false), is-aligned(n, NODE_HEADER_SIZE), ∀ buf2, x, n, m, lax. # buf2 < #(buf1 + buf0) → # buf2 = x.flashsize ∧ n < x.flashsize ∧ abs-nodes(buf2, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) → n = 0 ∨ x = [] ∨ (∃ n0. n0 < # lax ∧ abs-nodes(subarray(buf2, 0, n), m, prefixn(n0, x), prefixn(n0, lax), true)) ⊦ buf1 + buf0 = mkbuf(0), buf1 = mkbuf(0), n = 0, abs-nodes(subarray(buf1, 0, n), m0, [], [], true)

Rule argument

Additional information

Used simplifier rules: ⊦ prefixn(0, lax) = []; (s)% ⊦ prefixn(0, x) = []; (s)% ⊦ ¬ m < 0; (s)