Proof step 817 from proof refine-truncate-buff-some (previous step)

Heuristic symbolic execution applied rule or right

And obtained the following new goals

• Proof step 818:

  # buf-opt0.buf = VFS_PAGE_SIZE, cache_files[m3] = mkfile(m1, md2, # links(m3, cache_dirs), content1), ((cache_files ⊕ cache_pcache0) ⊕ cache_icache)[m3] = mkfile(m0, md0, # links(m3, cache_dirs), content0), afs_files = (cache_files ⊕ cache_pcache0) ⊕ cache_icache, buf-opt = buf-opt0, dirs = cache_dirs, files = afs_files, inode = mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m2), n = m6, old_ino = 0, pageno = m2 / VFS_PAGE_SIZE, size = 0, buf-opt0.some?, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache0) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache0, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache0), m3 ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ cache_pcache0 → key.data? ⊦ ⟨fail#(; ; err); asynced := ?⟩ ( dirs = cache_dirs ∧ files = (cache_files[m3, mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2))] ⊕ truncate(m3, min(m6, m2), cache_pcache0)) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m6))] ∧ (asynced ↔ asynced1) ∧ buf-opt0 = buf-opt ∧ mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m6) = inode ∧ ¬ asynced0 ∧ ESUCCESS = err), ⟨let ino = inode.ino, content = files[inode.ino].content, buf = ? in {old_ino := inode.size % VFS_PAGE_SIZE, size := min(n, inode.size); asynced0 := inode.size ≤ n ∧ old_ino ≠ 0 ∧ (pageno ∈ content ∨ buf-opt.some?); if asynced0 then {if buf-opt.some? then buf := buf-opt.buf else buf := files[ino].content[pageno]; buf := fill(buf, zero, old_ino, VFS_PAGE_SIZE - old_ino); content[pageno] := buf; buf-opt := some(buf)}; files[ino].content := content upto size; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS}; asynced := ?⟩ ( dirs = cache_dirs ∧ files = (cache_files[m3, mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2))] ⊕ truncate(m3, min(m6, m2), cache_pcache0)) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m6))] ∧ (asynced ↔ asynced1) ∧ buf-opt0 = buf-opt ∧ mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m6) = inode ∧ ¬ asynced0 ∧ ESUCCESS = err), VFS_PAGE_SIZE = 0, m2 ≤ m6 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

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