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Proof step 18 from proof inv-deallocate-gnd (previous step)

# lpt1 = # avol, # lpt0 = # avol, isbuf ↔ false, lpt1[n] = mklp(m3, m1, LP_GROUP_NODES, m2), keyset(gch) = gc-heap(lpt1, log0), log = log0, lpt = lpt0, m0 = n, n < # avol, m0 < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol), bufs-log-only(bleb, 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), synced(avol) ⊦ ⟪lpt1[n].flags := LP_FREE; lpt1[n].ref-size := 0; lpt1[n] := mklp(lpt1[n].ref-size, 0, lpt1[n].flags, lpt1[n].gcheapidx); freelist := freelist + n '; gc_heap_remove#(lpt1[n].gcheapidx; gch, lpt1); err := ESUCCESS⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(bleb, log0, lpt1) ∧ # lpt1 = # avol[m0, unmapped] ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(false, bleb, lpt1, avol[m0, unmapped]) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0) ∧ awbuf-inv(avol[m0, unmapped], bleb) ∧ # lpt0 = # avol[m0, unmapped]), buffered(m0) = bleb, dups(log0), n ∈ log0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 19:
# lpt0 = # avol, # lpt1 = # avol, isbuf ↔ false, lpt1[n] = mklp(m3, m1, LP_GROUP_NODES, m2), keyset(gch) = gc-heap(lpt1, log0), log = log0, lpt = lpt0, m0 = n, n < # lpt1, m0 < # avol, n < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt1), buf-ro-rw-mode(false, bleb, lpt1, avol), bufs-log-only(bleb, 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), synced(avol) ⊦ ⟪lpt1 := lpt1[n, lpt1[n].flags:= LP_FREE][n, lpt1[n, lpt1[n].flags:= LP_FREE][n].ref-size:= 0]; lpt1[n] := mklp(lpt1[n].ref-size, 0, lpt1[n].flags, lpt1[n].gcheapidx); freelist := freelist + n '; gc_heap_remove#(lpt1[n].gcheapidx; gch, lpt1); err := ESUCCESS⟫ ( lpt-free-unref(lpt1) ∧ freelist-cons(lpt1, freelist) ∧ bin-heap-inv(gch, lpt1) ∧ keyset(gch) = gc-heap(lpt1, log0) ∧ bufs-log-only(bleb, log0, lpt1) ∧ # lpt1 = # avol[m0, unmapped] ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(false, bleb, lpt1, avol[m0, unmapped]) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0) ∧ awbuf-inv(avol[m0, unmapped], bleb) ∧ # lpt0 = # avol[m0, unmapped]), buffered(m0) = bleb, dups(log0), n ∈ log0

Rule argument

Additional information

Used simplifier rules: ⊦ 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% ⊦ ¬ n < n; (s)