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Proof step 50 from proof inv-add-ind (previous step)

# lpt0 = # avol, # lpt1 = # avol, # buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, # lpt0 = # avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))], isbuf ↔ false, lpt1[n] = mklp(m1, # buf0, LP_INDEX_NODES, m2), avol[n] = mapped(buf0), err = ESUCCESS, err = err0, keyset(gch) = gc-heap(lpt1, log0), m = buffered(n).leb, buffered(n).isbuf?, avol[m].mapped?, n < # avol, m < # avol, abs-node(buf1, ind), awbuf-inv(avol, buffered(n)), awbuf-inv(avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))], buffered(n)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(n), lpt1, avol), bufs-log-only(buffered(n), log0, lpt1), freelist-cons(lpt1, freelist), log-group-block(log0, lpt1), lpt-free-unref(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), # buf0 + # buf1 ≤ LEB_SIZE, 0 + # buf1 ≤ # buf1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪adr := @(buffered(n).leb, lpt1[buffered(n).leb].size, # buf1); lpt1[buffered(n).leb] := mklp(lpt1[buffered(n).leb].ref-size, lpt1[buffered(n).leb].size + # buf1, lpt1[buffered(n).leb].flags, lpt1[buffered(n).leb].gcheapidx)⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(buffered(n), log0, lpt1) ∧ # lpt1 = # avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))] ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf, buffered(n), lpt1, avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))]) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 51:
# lpt0 = # avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))], # buf1 = 2 * NODE_HEADER_SIZE + ind.alignedsize, # lpt1 = # avol, # lpt0 = # avol, isbuf ↔ false, avol[n] = mapped(buf0), lpt1[n] = mklp(m1, # buf0, LP_INDEX_NODES, m2), err = err0, err = ESUCCESS, keyset(gch) = gc-heap(lpt1, log0), m = buffered(n).leb, buffered(n).isbuf?, avol[m].mapped?, buffered(n).leb < # lpt1, m < # avol, n < # avol, abs-node(buf1, ind), awbuf-inv(avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))], buffered(n)), awbuf-inv(avol, buffered(n)), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, buffered(n), lpt1, avol), bufs-log-only(buffered(n), log0, lpt1), freelist-cons(lpt1, freelist), log-group-block(log0, lpt1), lpt-free-unref(lpt1), lpt-free-unref(lpt0), lpt-leb-size(lpt1), lpt-leb-size(lpt0), lpt-ram-flash(lpt1, lpt0, log0), 0 + # buf1 ≤ # buf1, # buf0 + # buf1 ≤ LEB_SIZE, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪lpt1[buffered(n).leb] := mklp(lpt1[buffered(n).leb].ref-size, lpt1[buffered(n).leb].size + # buf1, lpt1[buffered(n).leb].flags, lpt1[buffered(n).leb].gcheapidx)⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(buffered(n), log0, lpt1) ∧ # lpt1 = # avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))] ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(isbuf, buffered(n), lpt1, avol[m, mapped(avol[m].data + subarray(buf1, 0, # buf1))]) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0))

Rule argument

Additional information

Used simplifier rules: elim-mapped: ⊦ avol[n].mapped? ↔ (∃ buf. avol[n] = mapped(buf));% ⊦ buffered(m).leb = m; (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s)% ⊦ # avol[n, aleb] = # avol; (s)% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m ≤ m; (s)% ⊦ buffered(m).isbuf?; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%inv-buf-in-vol: ⊦ awbuf-inv(avol, buffered(n)) → n < # avol; (forward) from specification awbuf-inv% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ ¬ n < n; (s)