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Proof step 117 from proof inv-read-gblock-nodes (previous step)

# lpt = # avol, # lpt0 = # avol, # gndx0 = # lax2, # gndx3 = # lax1, LEB_SIZE = n0 + # buf0 + # buf, avol[m5] = mapped(buf0 + buf), m5 < # avol, abs-nodes(buf0, gndx3, lax1, false), abs-nodes(buf, # buf0, gndx0, lax2, true), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), is-aligned(# buf, NODE_HEADER_SIZE), is-encoded(nodeheader(m, boolvar), subarray(buf, 0, NODE_HEADER_SIZE)), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), # buf0 + NODE_HEADER_SIZE ≤ LEB_SIZE, # buf0 + # buf ≤ LEB_SIZE, # buf0 + 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ LEB_SIZE ⊦ # buf + n0 = 0, gndx0 = [], isempty(buf, 0, NODE_HEADER_SIZE), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE), is-encoded(nodeheader(m, boolvar), subarray(buf, 0, NODE_HEADER_SIZE)) ∧ 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf ∧ ¬ range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 118:
# gndx3 = # lax1, # gndx0 = # lax2, # lpt0 = # avol, # lpt = # avol, LEB_SIZE = n0 + # buf0 + # buf, avol[m5] = mapped(buf0 + buf), # buf < 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), m5 < # avol, abs-nodes(buf, # buf0, gndx0, lax2, 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(# buf, NODE_HEADER_SIZE), is-encoded(nodeheader(m, boolvar), subarray(buf, 0, NODE_HEADER_SIZE)), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), # buf0 + 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ LEB_SIZE, # buf0 + # buf ≤ LEB_SIZE, # buf0 + NODE_HEADER_SIZE ≤ LEB_SIZE ⊦ # buf + n0 = 0, gndx0 = [], isempty(buf, 0, NODE_HEADER_SIZE), range=(buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ 2 * NODE_HEADER_SIZE + n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)%n ≠ 0, m % n = 0 ⊦ align↑(m, n) = m; (s)% ⊦ NODE_HEADER_SIZE ≠ 0; (s)% ⊦ 2 * m = 0 ↔ m = 0; (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s)%⊦ is-encoded (nodeheader(m, boolvar0), subarray(buf, 0, NODE_HEADER_SIZE)) ∧ 2 * NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE) ≤ # buf ∧ ¬ range= (buf, NODE_HEADER_SIZE + align↑(m, 2 * NODE_HEADER_SIZE), validtrailer, 0, NODE_HEADER_SIZE) → ( abs-nodes(buf, n, gndx, lax, weak) ↔ abs-failed(buf) ∧ gndx = [] ∧ lax = [] ∧ weak); (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult