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Proof step 70 from proof inv-add-gnds (previous step)

# lpt0 = # avol, # lpt1 = # avol, # buf0 = gndx.flashsize, # gndx = # lax, isbuf ↔ false, avol[n] = mapped(buf1), lpt1[n] = mklp(m4, # buf1, LP_GROUP_NODES, m2), err = err0, keyset(gch) = gc-heap(lpt1, log0), m = buffered(n).leb, n0 = gndx.flashsize, buffered(n).isbuf?, n < # avol, abs-nodes(buf0, # buf1, gndx, lax, false), 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(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), n ∈ log0, # buf1 + gndx.flashsize ≤ LEB_SIZE, ∀ n. (n ≠ 0 → n < n0 → avol[m].mapped? ∧ m < # avol) ∧ ¬(n ≠ 0 ∧ n < n0 ∧ is-aligned(# avol[m].data + n, EB_PAGE_SIZE)), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪debug#("persistence: adding group node to LEB " + buffered(n).leb.toString + " failed"); lpt1[buffered(n).leb] := mklp(lpt1[buffered(n).leb].ref-size, LEB_SIZE, 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 ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(true, buffered(n), lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0)), err = ESUCCESS, gndx = [], dups(log0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 71:
# lpt0 = # avol, # lpt1 = # avol, # buf0 = gndx.flashsize, # gndx = # lax, avol[n] = mapped(buf1), lpt1[n] = mklp(m4, # buf1, LP_GROUP_NODES, m2), keyset(gch) = gc-heap(lpt1, log0), gndx ≠ [], n < # avol, abs-nodes(buf0, # buf1, gndx, lax, false), 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(lpt0), lpt-free-unref(lpt1), lpt-leb-size(lpt0), lpt-leb-size(lpt1), lpt-ram-flash(lpt1, lpt0, log0), n ∈ log0, # buf1 + gndx.flashsize ≤ LEB_SIZE, ⌊err0⌋ , ¬ dups(log0), ∀ n0. n0 = 0 ∨ ¬ n0 < gndx.flashsize ∨ ¬ is-aligned(# buf1 + n0, EB_PAGE_SIZE) ⊦ ⟪debug#("persistence: adding group node to LEB " + buffered(n).leb.toString + " failed"); lpt1[buffered(n).leb] := mklp(lpt1[buffered(n).leb].ref-size, LEB_SIZE, 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 ∧ log-group-block(log0, lpt1) ∧ buf-ro-rw-mode(true, buffered(n), lpt1, avol) ∧ lpt-leb-size(lpt1) ∧ lpt-ram-flash(lpt1, lpt0, log0))

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ buffered(m).leb = m; (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ buffered(m).isbuf?; (s)