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Proof step 70 from proof prepost-cleanup-lpt (previous step)

# avol1 = # lpt4, # lpt = # lpt4, lpt[n].ref-size = 0, isbuf ↔ boolvar, avol0 = avol1, bleb = nobuffer, keyset(gch0) = gc-heap(lpt4, []), keyset(gch) = gc-heap(cleanup-lpt(lpt4, n), []), lpt = lpt3, lpt0 = lpt1, lpt2 = lpt4, m = m0, n = n0, n1 = 0, n < # lpt, avol-cleanup-lpt-unchanged(avol1, avol, lpt4), awbuf-inv(avol1, nobuffer), awbuf-inv(avol, bleb), bin-heap-inv(gch0, lpt4), bin-heap-inv(gch, lpt), freelist-cons(lpt4, freelist0), freelist-cons(lpt, freelist), id-idx(cleanup-lpt(lpt4, n), lpt), synced(avol1), synced(avol), n ≤ # lpt, lpt[n].ref-size = 0 → n < # lpt ⊦ ⟪lpt := lpt[n, lpt[n].flags:= LP_FREE][n, lpt[n, lpt[n].flags:= LP_FREE][n].size:= 0]; freelist := freelist + n; awbuf_unmap#(n, adr, m, log, lpt0, ns, bleb, isbuf; avol); n := n + 1⟫ ( ( n ≤ # lpt ∧ # lpt = # lpt4 ∧ id-idx(cleanup-lpt(lpt4, n), lpt) ∧ awbuf-inv(avol, bleb) ∧ avol-cleanup-lpt-unchanged(avol1, avol, lpt4) ∧ freelist-cons(lpt, freelist) ∧ keyset(gch) = gc-heap(cleanup-lpt(lpt4, n), []) ∧ bin-heap-inv(gch, lpt) ∧ bleb = nobuffer ∧ synced(avol)) ∧ # lpt - n < # lpt3 - n0), lpt[n].flags = LP_FREE, lpt[n].flags = LP_GROUP_NODES

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 71:
# lpt = # lpt4, # avol1 = # lpt4, lpt[n].ref-size = 0, isbuf ↔ boolvar, avol0 = avol1, bleb = nobuffer, keyset(gch) = gc-heap(cleanup-lpt(lpt4, n), []), keyset(gch0) = gc-heap(lpt4, []), lpt = lpt3, lpt0 = lpt1, lpt2 = lpt4, m = m0, n = n0, n1 = 0, n < # lpt[n, lpt[n].flags:= LP_FREE], n < # lpt, avol-cleanup-lpt-unchanged(avol1, avol, lpt4), awbuf-inv(avol, bleb), awbuf-inv(avol1, nobuffer), bin-heap-inv(gch, lpt), bin-heap-inv(gch0, lpt4), freelist-cons(lpt, freelist), freelist-cons(lpt4, freelist0), id-idx(cleanup-lpt(lpt4, n), lpt), synced(avol), synced(avol1), n ≤ # lpt, lpt[n].ref-size = 0 → n < # lpt ⊦ ⟪freelist := freelist + n; awbuf_unmap#(n, adr, m, log, lpt0, ns, bleb, isbuf; avol); n1 := n + 1⟫ ( ( n1 ≤ # lpt[n, lpt[n].flags:= LP_FREE][n, lpt[n, lpt[n].flags:= LP_FREE][n].size:= 0] ∧ # lpt[n, lpt[n].flags:= LP_FREE][n, lpt[n, lpt[n].flags:= LP_FREE][n].size:= 0] = # lpt4 ∧ id-idx(cleanup-lpt(lpt4, n1), lpt[n, lpt[n].flags:= LP_FREE][n, lpt[n, lpt[n].flags:= LP_FREE][n].size:= 0]) ∧ awbuf-inv(avol, bleb) ∧ avol-cleanup-lpt-unchanged(avol1, avol, lpt4) ∧ freelist-cons(lpt[n, lpt[n].flags:= LP_FREE][n, lpt[n, lpt[n].flags:= LP_FREE][n].size:= 0], freelist) ∧ keyset(gch) = gc-heap(cleanup-lpt(lpt4, n1), []) ∧ bin-heap-inv(gch, lpt[n, lpt[n].flags:= LP_FREE][n, lpt[n, lpt[n].flags:= LP_FREE][n].size:= 0]) ∧ bleb = nobuffer ∧ synced(avol)) ∧ # lpt[n, lpt[n].flags:= LP_FREE][n, lpt[n, lpt[n].flags:= LP_FREE][n].size:= 0] - n1 < # lpt3 - n0), lpt[n].flags = LP_GROUP_NODES, lpt[n].flags = LP_FREE

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n; (s)%⊦ id-idx(lpt0, lpt1) → (freelist-cons(lpt1, freelist) ↔ freelist-cons(lpt0, freelist)); (s)% ⊦ # lpt[n, lp] = # lpt; (s)