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Proof step 5 from proof encode-node (previous step)

# buf = n0 + n + 2 * NODE_HEADER_SIZE + nd.alignedsize, buf0 = buf, n + 2 * NODE_HEADER_SIZE + nd.alignedsize ≤ # buf ⊦ ⟪encode_node#(nd, n; m, buf; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ subarray(buf, 0, n) = subarray(buf0, 0, n) ∧ subarray(buf, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0) = subarray(buf0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0) ∧ ( err = ESUCCESS → (∃ buf0, buf1. subarray(buf, n, 2 * NODE_HEADER_SIZE + nd.alignedsize) = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(node-size-headerless(nd), false), buf0) ∧ is-encoded(nd, subarray(buf1, 0, node-size-headerless(nd))) ∧ # buf1 = nd.alignedsize) ∧ m = 2 * NODE_HEADER_SIZE + nd.alignedsize))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 6:
# buf = n0 + n + 2 * NODE_HEADER_SIZE + nd.alignedsize, buf0 = buf, m2 = m, m3 = n, n + 2 * NODE_HEADER_SIZE + nd.alignedsize ≤ # buf ⊦ ⟪let m1 = node-size-headerless(nd) in let m0 = align↑(m1, 2 * NODE_HEADER_SIZE), m = ? in {encode_header#(nodeheader(m1, false), m3; buf; err); if err = ESUCCESS then encode_node_headerless#(nd, m3 + NODE_HEADER_SIZE; buf, m; err); if err = ESUCCESS then {buf := fill(buf, empty, m3 + NODE_HEADER_SIZE + m1, m0 - m1); buf := copy(validtrailer, 0, buf, m3 + NODE_HEADER_SIZE + m0, NODE_HEADER_SIZE)}; m2 := 2 * NODE_HEADER_SIZE + m0}⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ subarray(buf, 0, n) = subarray(buf0, 0, n) ∧ subarray(buf, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0) = subarray(buf0, n + 2 * NODE_HEADER_SIZE + nd.alignedsize, n0) ∧ ( err = ESUCCESS → (∃ buf0, buf1. subarray(buf, n, 2 * NODE_HEADER_SIZE + nd.alignedsize) = buf0 + buf1 + validtrailer ∧ is-encoded(nodeheader(node-size-headerless(nd), false), buf0) ∧ is-encoded(nd, subarray(buf1, 0, node-size-headerless(nd))) ∧ # buf1 = nd.alignedsize) ∧ m2 = 2 * NODE_HEADER_SIZE + nd.alignedsize))

Rule argument

pos: right 1

Additional information

Used simplifier rules: encode_node#(ND, OFFSET; SIZE, BUF; ERR) {let NDSIZE = node-size-headerless(ND) in let ALIGNEDSIZE = align↑(NDSIZE, 2 * NODE_HEADER_SIZE), SIZE0 = ? in {encode_header#(nodeheader(NDSIZE, false), OFFSET; BUF; ERR); if ERR = ESUCCESS then encode_node_headerless# (ND, OFFSET + NODE_HEADER_SIZE; BUF, SIZE0; ERR); if ERR = ESUCCESS then {BUF := fill (BUF, empty, OFFSET + NODE_HEADER_SIZE + NDSIZE, ALIGNEDSIZE - NDSIZE); BUF := copy (validtrailer, 0, BUF, OFFSET + NODE_HEADER_SIZE + ALIGNEDSIZE, NODE_HEADER_SIZE)}; SIZE := 2 * NODE_HEADER_SIZE + ALIGNEDSIZE} };