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Proof step 29 from proof inv-format (previous step)

isbuf ↔ false, adr0 = @(0, 0, 0), avol = fill(mkavolume(m3), unmapped), bleb = nobuffer, err = err0, err = ESUCCESS, log0 = [], lpt = fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), lpt0 = fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), m1 = m0, err = ESUCCESS → synced(avol) ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪awbuf_get_leb_size#(adr0, m1, log0, avol, lpt, ∅, bleb, isbuf; ; m4); log1 := []; 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) ∧ log1 = 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) ∧ m4 = LEB_SIZE ∧ awbuf-inv(avol, bleb) ∧ # lpt = # avol)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
awbuf-inv(fill(mkavolume(m3), unmapped), nobuffer), synced(fill(mkavolume(m3), unmapped)) ⊦ ⟪awbuf_get_leb_size#(@(0, 0, 0), m1, [], fill(mkavolume(m3), unmapped), fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), ∅, nobuffer, false; ; m4); log1 := []; persistence_create_freelist#(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)); freelist); gc_heap_empty#(; gch)⟫ ( lpt-free-unref(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))) ∧ freelist-cons(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0)), freelist) ∧ log1 = [] ∧ bin-heap-inv(gch, fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))) ∧ gch.size = 0 ∧ lpt-leb-size(fill(mklparray(m3), mklp(0, 0, LP_FREE, 0))) ∧ m4 = LEB_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ lpt-ram-flash(lpt, lpt, []); (s)% ⊦ buf-ro-rw-mode(boolvar, nobuffer, lpt, avol); (s)% ⊦ log-group-block([], lpt); (s)% ⊦ ¬ dups([]); (s)% ⊦ bufs-log-only(nobuffer, nx, lpt); (s)% ⊦ bin-heap-inv(bh, lpt) → (keyset(bh) = ∅ ↔ bh.size = 0); (s)% ⊦ gc-heap(fill(mklparray(n), mklp(n0, n1, LP_FREE, n2)), nx) = ∅; (s)% ⊦ awbuf-inv(avol, nobuffer) → (synced(avol) ↔ true); (ss)% ⊦ # mkavolume(n) = n; (s)% ⊦ # fill(avol, aleb) = # avol; (s)% ⊦ # mklparray(n) = n; (s)% ⊦ # fill(lpt, lp) = # lpt; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)