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Proof step 5 from proof inv-deallocate-gnd (previous step)

# lpt0 = # avol, # lpt = # avol, lpt[n] = mklp(m0, m1, LP_GROUP_NODES, m2), keyset(gch) = gc-heap(lpt, log0), n < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, freelist), log-group-block(log0, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log0), synced(avol), ¬ dups(log0), ¬ n ∈ log0 ⊦ ⟪persistence_deallocate_gnd#(n, log0, adr, m, log0, lpt0, ns, bleb, isbuf; lpt, freelist, gch, avol; err)⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log0) ∧ bufs-log-only(bleb, log0, lpt) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ buf-ro-rw-mode(isbuf, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 6:
# lpt = # avol, # lpt0 = # avol, isbuf0 ↔ isbuf, lpt[n] = mklp(m0, m1, LP_GROUP_NODES, m2), keyset(gch) = gc-heap(lpt, log0), log = log0, n < # avol, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, freelist), log-group-block(log0, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log0), synced(avol) ⊦ ⟪if synced(avol) ∧ n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES ∧ ¬ n ∈ log0 then let isbuf = ? in {awbuf_is_readonly#(adr, m, log, avol, lpt0, ns, bleb, isbuf0; ; isbuf); if isbuf then err := EROFS else {awbuf_unmap#(n, adr, m, log, lpt0, ns, bleb, isbuf0; avol); lpt[n].flags := LP_FREE; lpt[n].ref-size := 0; lpt[n].size := 0; freelist := freelist + n; gc_heap_remove#(lpt[n].gcheapidx; gch, lpt); err := ESUCCESS}} else abort⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log0) ∧ bufs-log-only(bleb, log0, lpt) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ buf-ro-rw-mode(isbuf, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol), dups(log0), n ∈ log0

Rule argument

pos: right 1

Additional information

Used simplifier rules: deallocate-gnd: ⊦ ;