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Proof step 8 from proof inv-format (previous step)

⊦ ⟪awbuf_format#(m3, LEB_SIZE, fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), @(0, 0, 0), m1; ; adr0, m0, log0, avol, lpt, ns, bleb, isbuf, err); lpt0 := fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)); if err ≠ ESUCCESS then debug#("persistence: wbuf format failed") else {awbuf_get_leb_size#(adr0, m0, log0, avol, lpt, ns, bleb, isbuf; ; m); log := []; persistence_create_freelist#(lpt0; freelist); gc_heap_empty#(; gch)}⟫ ( err = ESUCCESS → synced(avol) ∧ lpt-free-unref(lpt0) ∧ lpt-free-unref(lpt) ∧ freelist-cons(lpt0, freelist) ∧ log = log0 ∧ bin-heap-inv(gch, lpt0) ∧ keyset(gch) = gc-heap(lpt0, log0) ∧ bufs-log-only(bleb, log0, lpt0) ∧ # lpt0 = # avol ∧ ¬ dups(log0) ∧ log-group-block(log0, lpt0) ∧ buf-ro-rw-mode(isbuf, bleb, lpt0, avol) ∧ lpt-leb-size(lpt0) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt0, lpt, log0) ∧ m = LEB_SIZE ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol)

User applied rule insert program lemma

And obtained the following new goals

Proof step 9:
# lpt = m, m0 = LEB_SIZE ⊦ ⟪awbuf_format#(m, m0, lpt, adr, m1; ; adr0, m2, nx, avol, lpt0, ns, bleb, isbuf, err)⟫ (err = ESUCCESS → synced(avol) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)
Proof step 10:
# fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)) = m3, LEB_SIZE = LEB_SIZE, adr1 = @(0, 0, 0), lpt1 = fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), m4 = m3, m5 = LEB_SIZE, m6 = m1 ⊦ [awbuf_format#(m3, LEB_SIZE, fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), @(0, 0, 0), m1; ; adr0, m0, log0, avol, lpt, ns, bleb, isbuf, err)] ( (err = ESUCCESS → synced(avol) ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol) → ⟪lpt0 := fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)); if err ≠ ESUCCESS then debug#("persistence: wbuf format failed") else {awbuf_get_leb_size#(adr0, m0, log0, avol, lpt, ns, bleb, isbuf; ; m); log := []; persistence_create_freelist#(lpt0; freelist); gc_heap_empty#(; gch)}⟫ ( err = ESUCCESS → synced(avol) ∧ lpt-free-unref(lpt0) ∧ lpt-free-unref(lpt) ∧ freelist-cons(lpt0, freelist) ∧ log = log0 ∧ bin-heap-inv(gch, lpt0) ∧ keyset(gch) = gc-heap(lpt0, log0) ∧ bufs-log-only(bleb, log0, lpt0) ∧ # lpt0 = # avol ∧ ¬ dups(log0) ∧ log-group-block(log0, lpt0) ∧ buf-ro-rw-mode(isbuf, bleb, lpt0, avol) ∧ lpt-leb-size(lpt0) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt0, lpt, log0) ∧ m = LEB_SIZE ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol))

Rule argument

spec: awbuf-asm name: inv-format seq: # lpt = m, m0 = LEB_SIZE ⊦ ⟪awbuf_format# (m, m0, lpt, adr, m1 ; ; adr0, m2, nx, avol, lpt0, ns, bleb, isbuf, err)⟫ ( err = ESUCCESS → synced(avol) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol) subst: [m1, adr, lpt, m0, m, err, isbuf, bleb, ns, lpt0, avol, nx, m2, adr0] → [m1, @(0, 0, 0), fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), LEB_SIZE, m3, err, isbuf, bleb, ns, lpt, avol, log0, m0, adr0] flags: <all paths>

Additional information

Used simplifier rules: ⊦ # fill(lpt, lp) = # lpt; (s)% ⊦ # mklparray(n) = n; (s)