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Proof step 26 from proof inv-read-gnd (previous step)

# lpt = # avol, # lpt0 = # avol, LEB_SIZE = n0 + # buf1, avol[m4] = mapped(buf1), buf0 = copy(avol[m4].data + mkempbuf(n0), m3, mkbuf(m2), 0, m2), m0 = m2, n1 = 0, m4 < # avol, abs-node(subarray(buf1, m3, m2), gnd), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), m3 + m2 ≤ # buf1, m3 + m2 ≤ LEB_SIZE, # buf1 ≤ LEB_SIZE ⊦ [decode_group_node#(0, m2, copy(avol[m4].data + mkempbuf(n0), m3, mkbuf(m2), 0, m2); gnd0; err0)] ( (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ (err0 = ESUCCESS → abs-node(subarray(buf0, n1, m0), gnd0) ∧ m0 = gnd0.flashsize ∧ n1 + m0 ≤ # buf0) → (err0 = ESUCCESS ∨ ⌊err0⌋ ) ∧ (err0 = ESUCCESS → gnd = gnd0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
# lpt0 = # avol, # lpt = # avol, LEB_SIZE = n0 + # buf1, avol[m4] = mapped(buf1), m4 < # avol, abs-node(subarray(buf1, m3, m2), gnd), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), # buf1 ≤ LEB_SIZE, m3 + m2 ≤ LEB_SIZE, m3 + m2 ≤ # buf1 ⊦ [decode_group_node#(0, m2, copy(avol[m4].data + mkempbuf(n0), m3, mkbuf(m2), 0, m2); gnd0; err0)] ( abs-node(subarray(avol[m4].data, m3, 2 * NODE_HEADER_SIZE + gnd0.alignedsize), gnd0) ∧ m2 = 2 * NODE_HEADER_SIZE + gnd0.alignedsize → err0 = ESUCCESS → gnd = gnd0)

Rule argument

Additional information

Used simplifier rules: append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]%n + m ≤ # buf ⊦ subarray(buf + buf0, n, m) = subarray(buf, n, m); (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m ≤ m; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)% ⊦ mapped(buf).data = buf; (s)%m1 + n ≤ # buf ⊦ subarray(copy(buf0, m0, buf, m1, n), m1, n) = subarray(buf0, m0, n); (s)% ⊦ ¬ n < n; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ # mkbuf(n) = n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)% ⊦ gnd.flashsize = 2 * NODE_HEADER_SIZE + gnd.alignedsize; (s)