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Proof step 58 from proof inv-commit (previous step)

# lpt2 = # lpt, # lpt0 = # lpt, # avol = # lpt, avol1 = avol, keyset(gch) = gc-heap(lpt2, log1), keyset(gch0) = gc-heap(lpt2, []), lpt3 = lpt, 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), 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 < # lpt ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ dups(log1), ∀ 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
# avol = # lpt, # lpt0 = # lpt, # lpt2 = # lpt, keyset(gch1) = gc-heap(cleanup-lpt(lpt), []), keyset(gch0) = gc-heap(lpt2, []), keyset(gch) = gc-heap(lpt2, log1), avol-cleanup-lpt-unchanged(avol, avol0, lpt), awbuf-inv(avol0, nobuffer), awbuf-inv(avol, nobuffer), awbuf-inv(avol, bleb0), bin-heap-inv(gch1, lpt1), 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(cleanup-lpt(lpt), freelist0), freelist-cons(lpt2, freelist), id-idx(cleanup-lpt(lpt), lpt1), 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(avol0), synced(avol), ∀ n. n ∈ log1 → n < # lpt ∧ lpt2[n].flags = LP_GROUP_NODES ⊦ dups(log1), # lpt1 = # avol0 ∧ lpt-leb-size(cleanup-lpt(lpt)) ∧ lpt-ram-flash(lpt1, lpt2, []) ∧ # lpt = # avol0

Rule argument

Additional information

Used simplifier rules: ⊦ id-idx(lpt0, lpt1) → (lpt-free-unref(lpt1) ↔ lpt-free-unref(lpt0)); (s)