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Proof step 24 from proof abs-nodes-valid-node (previous step)

is-encoded(nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf, ∃ buf0, buf1. buf = buf0 + buf1 ∧ ( abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, nd ' + x0, @(m0, m1) ' + lax0, weak) ∨ m0 = n ∧ m1 = # buf0 ∧ abs-node(buf0, nd) ∧ abs-nodes(buf1, n + # buf0, x0, lax0, weak)) ⊦ ∃ buf0, buf1. buf = buf0 + buf1 ∧ ( boolvar0 ∧ abs-padding(buf0) ∧ abs-nodes(buf1, n + # buf0, nd ' + x0, @(m0, m1) ' + lax0, weak) ∨ # buf0 = 2 * NODE_HEADER_SIZE + nd.alignedsize ∧ @(m0, m1) = @(n, # buf0) ∧ ¬ boolvar0 ∧ abs-node(buf0, nd) ∧ abs-nodes(buf1, n + # buf0, x0, lax0, weak))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
is-encoded(nodeheader(m, boolvar0), subarray(buf1 + buf0, 0, NODE_HEADER_SIZE)), range=(buf1 + buf0, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf1 + # buf0, abs-padding(buf1) ∧ abs-nodes(buf0, n + # buf1, nd ' + x0, @(m0, m1) ' + lax0, weak) ∨ m0 = n ∧ m1 = # buf1 ∧ abs-node(buf1, nd) ∧ abs-nodes(buf0, n + # buf1, x0, lax0, weak) ⊦ ∃ buf3, buf2. buf1 + buf0 = buf3 + buf2 ∧ ( boolvar0 ∧ abs-padding(buf3) ∧ abs-nodes(buf2, n + # buf3, nd ' + x0, @(m0, m1) ' + lax0, weak) ∨ # buf3 = 2 * NODE_HEADER_SIZE + nd.alignedsize ∧ @(m0, m1) = @(n, # buf3) ∧ ¬ boolvar0 ∧ abs-node(buf3, nd) ∧ abs-nodes(buf2, n + # buf3, x0, lax0, weak))

Rule argument

Additional information

Used simplifier rules: ⊦ # subarray(buf, m, n) = n; (s)%lfw-is-encoded-nodeheader-size: ⊦ is-encoded(ndhd, buf) → # buf = NODE_HEADER_SIZE; (forward) from specification abs-node%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ #(buf + buf0) = # buf + # buf0; (s)