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Proof step 56 from proof inv-commit (previous step)

# lpt2 = # avol, # lpt0 = # avol, # avol = # lpt, boolvar0 ↔ false, adr1 = adr0, avol = avol, avol1 = avol, keyset(gch) = gc-heap(lpt2, log1), keyset(gch0) = gc-heap(lpt2, []), keyset(gch0) = gc-heap(lpt, []), log0 = [], lpt = lpt, lpt3 = lpt, lpt4 = lpt2, m = m0, ns1 = ns0, awbuf-inv(avol, bleb0), awbuf-inv(avol, nobuffer), bin-heap-inv(gch, lpt2), bin-heap-inv(gch0, lpt), buf-ro-rw-mode(false, bleb0, lpt2, avol), bufs-log-only(bleb0, log1, lpt2), freelist-cons(lpt2, freelist), freelist-cons(lpt, freelist), id-idx(lpt2, lpt), log-group-block(log1, lpt2), lpt-free-unref(lpt2), lpt-free-unref(lpt0), lpt-leb-size(lpt2), lpt-leb-size(lpt0), lpt-ram-flash(lpt2, lpt0, log1), synced(avol), ∀ n. n ∈ log1 → n < # avol ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ [persistence_cleanup_lpt#(adr0, m0, [], lpt2, ns0, nobuffer, false; lpt, freelist, gch0, avol)] ( id-idx(cleanup-lpt(lpt3), lpt) ∧ avol-cleanup-lpt-unchanged(avol1, avol, lpt3) ∧ freelist-cons(lpt, freelist) ∧ awbuf-inv(avol, nobuffer) ∧ bin-heap-inv(gch0, lpt) ∧ keyset(gch0) = gc-heap(lpt, []) ∧ synced(avol) → lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ bin-heap-inv(gch0, lpt) ∧ keyset(gch0) = gc-heap(lpt, []) ∧ # lpt = # avol ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt2, []) ∧ awbuf-inv(avol, nobuffer) ∧ # lpt2 = # avol), dups(log1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 57:
# avol = # lpt, # lpt0 = # lpt, # lpt2 = # lpt, avol1 = avol, keyset(gch0) = gc-heap(lpt2, []), keyset(gch) = gc-heap(lpt2, log1), lpt3 = lpt, awbuf-inv(avol, nobuffer), awbuf-inv(avol, bleb0), bin-heap-inv(gch0, lpt), bin-heap-inv(gch, lpt2), buf-ro-rw-mode(false, bleb0, lpt2, avol), bufs-log-only(bleb0, log1, lpt2), freelist-cons(lpt2, freelist), id-idx(lpt2, lpt), log-group-block(log1, lpt2), lpt-free-unref(lpt0), lpt-free-unref(lpt2), lpt-leb-size(lpt0), lpt-leb-size(lpt2), lpt-ram-flash(lpt2, lpt0, log1), synced(avol), ¬ dups(log1), ∀ n. n ∈ log1 → n < # lpt ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ [persistence_cleanup_lpt#(adr0, m0, [], lpt2, ns0, nobuffer, false; lpt, freelist, gch0, avol)] ( id-idx(cleanup-lpt(lpt3), lpt) ∧ avol-cleanup-lpt-unchanged(avol1, avol, lpt3) ∧ freelist-cons(cleanup-lpt(lpt3), freelist) ∧ awbuf-inv(avol, nobuffer) ∧ bin-heap-inv(gch0, lpt) ∧ keyset(gch0) = gc-heap(cleanup-lpt(lpt3), []) ∧ synced(avol) → lpt-free-unref(lpt3) ∧ # lpt = # avol ∧ lpt-leb-size(cleanup-lpt(lpt3)) ∧ lpt-ram-flash(lpt, lpt2, []) ∧ # lpt2 = # avol)

Rule argument

Additional information

Used simplifier rules: ⊦ id-idx(lpt0, lpt1) → (lpt-leb-size(lpt1) ↔ lpt-leb-size(lpt0)); (s)% ⊦ lpt-free-unref(cleanup-lpt(lpt)) ↔ lpt-free-unref(lpt); (s)% ⊦ id-idx(lpt0, lpt1) → (lpt-free-unref(lpt1) ↔ lpt-free-unref(lpt0)); (s)%⊦ id-idx(lpt0, lpt1) → (freelist-cons(lpt1, freelist) ↔ freelist-cons(lpt0, freelist)); (s)% ⊦ id-idx(lpt0, lpt1) → gc-heap(lpt1, nx) = gc-heap(lpt0, nx); (s)