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Proof step 168 from proof inv-read-gblock-nodes (previous step)

# buf2 = align↑(m2, 2 * NODE_HEADER_SIZE) + 2 * NODE_HEADER_SIZE, # gndx3 = # lax1, # gndx0 = # lax2, # lpt0 = # avol, # lpt = # avol, LEB_SIZE = n0 + # buf0 + # buf2 + # buf1, avol[m5] = mapped(buf0 + buf2 + buf1), align↑(m2, 2 * NODE_HEADER_SIZE) = gndx0.head.alignedsize, ladr = @(# buf0, # buf2), lax2 = ladr + lax0, m5 < # avol, abs-node(buf2, gndx0.head), abs-nodes(buf1, # buf0 + # buf2, gndx0.tail, lax0, true), abs-nodes(buf0, gndx3, lax1, false), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), is-aligned(# buf2, NODE_HEADER_SIZE), is-encoded(nodeheader(m2, false), subarray(buf2, 0, NODE_HEADER_SIZE)), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), range=(buf2 + buf1, NODE_HEADER_SIZE + align↑(m2, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), # buf0 + # buf2 ≤ LEB_SIZE, # buf0 + # buf2 + # buf1 ≤ LEB_SIZE, # buf0 + NODE_HEADER_SIZE ≤ LEB_SIZE ⊦ buf2 + buf1 = mkbuf(0), gndx0 = [], lax2 = [], isempty(buf2, 0, NODE_HEADER_SIZE), ∃ gndx5, lax4, buf4, buf3. buf0 + buf2 + buf1 = buf4 + buf3 ∧ # buf4 = # buf0 + # buf2 ∧ abs-nodes(buf4, gndx3 + gndx0.head ', lax1 + @(# buf0, # buf2) ', false) ∧ abs-nodes(buf3, # buf4, gndx5, lax4, true)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 169:
# gndx0 = # lax0 + 1, # lpt0 = # avol, # lpt = # avol, # buf2 = align↑(m2, 2 * NODE_HEADER_SIZE) + 2 * NODE_HEADER_SIZE, # gndx3 = # lax1, # gndx0 - 1 = # lax0, LEB_SIZE = n0 + # buf0 + # buf2 + # buf1, avol[m5] = mapped(buf0 + buf2 + buf1), align↑(m2, 2 * NODE_HEADER_SIZE) = gndx0.head.alignedsize, m5 < # avol, abs-node(buf2, gndx0.head), abs-nodes(buf1, # buf0 + # buf2, gndx0.tail, lax0, true), abs-nodes(buf0, gndx3, lax1, false), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), is-aligned(# buf2, NODE_HEADER_SIZE), is-encoded(nodeheader(m2, false), subarray(buf2, 0, NODE_HEADER_SIZE)), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), range=(buf2 + buf1, NODE_HEADER_SIZE + align↑(m2, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), # buf0 + # buf2 ≤ LEB_SIZE, # buf0 + # buf2 + # buf1 ≤ LEB_SIZE, # buf0 + NODE_HEADER_SIZE ≤ LEB_SIZE ⊦ buf2 + buf1 = mkbuf(0), gndx0 = [], isempty(buf2, 0, NODE_HEADER_SIZE), ∃ gndx5, lax4, buf4, buf3. buf0 + buf2 + buf1 = buf4 + buf3 ∧ # buf4 = # buf0 + # buf2 ∧ abs-nodes(buf4, gndx3 + gndx0.head ', lax1 + @(# buf0, # buf2) ', false) ∧ abs-nodes(buf3, # buf4, gndx5, lax4, true)

Rule argument

Additional information

Used simplifier rules: ⊦ n -1 = n - 1; (s)% ⊦ gndx ≠ [] → # gndx.tail = (# gndx)-1; (s)%abs-nodes-elems-adr-length-h: ⊦ abs-nodes(buf, m, gndx, lax, weak) → # gndx = # lax; (forward) from specification abs-list[encoding-group-node]% ⊦ ladr ' + lax ≠ []; (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ m +1 = m + 1; (s)% ⊦ #(ladr ' + lax) = (# lax)+1; (s)% ⊦ ladr + lax = ladr ' + lax; (s)