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Proof step 846 from proof refine-truncate-buff-none-cached (previous step)

# buf0 = VFS_PAGE_SIZE, asynced0 ↔ m2 ≤ m ∧ old_ino ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, cache_pcache0[datakey(m3, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), 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, ¬ asynced0, buf-opt = none, content = content0, ino = m3, new_inode = mkinode(m3, md, false, # links(m3, cache_dirs), 0, m2), old_ino = m2 % VFS_PAGE_SIZE, size = min(m, m2), afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache0) ⊕ cache_icache), 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, datakey(m3, m2 / VFS_PAGE_SIZE) ∈ cache_pcache0, m2 ≤ m, m2 ≤ m → old_ino ≠ 0 → VFS_PAGE_SIZE ≠ 0, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ cache_pcache0 → key.data? ⊦ ⟨cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; afs_files[ino].content := content upto size; afs_inode_sync#(new_inode.size:= m; cache_dirs, afs_files); inode := (m3 ∈ cache_dirs ⊃ mkinode(m3, cache_dirs[m3].meta, true, cache_dirs[m3].nlink, cache_dirs[m3].nsubdirs, cache_dirs[m3].size) ;mkinode(m3, afs_files[m3].meta, false, afs_files[m3].nlink, 0, afs_files[m3].size) ); err := ESUCCESS; asynced := ?⟩ ( cache_dirs = cache_dirs2 ∧ afs_files = ( cache_files [m3, mkfile(m, md, # links(m3, cache_dirs2), content1[m2 / VFS_PAGE_SIZE, fill(buf0, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ] ⊕ truncate(m3, m2, cache_pcache0)[datakey(m3, m2 / VFS_PAGE_SIZE), mkpentry(false, fill(buf0, zero, m2 % VFS_PAGE_SIZE, n0))]) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, cache_dirs2), 0, m))] ∧ ¬ asynced ∧ some(fill(buf0, zero, m2 % VFS_PAGE_SIZE, n0)) = buf-opt ∧ (m3 ∈ cache_dirs2 ⊃ mkinode(m3, cache_dirs2[m3].meta, true, cache_dirs2[m3].nlink, cache_dirs2[m3].nsubdirs, cache_dirs2[m3].size) ;mkinode(m3, md, false, # links(m3, cache_dirs2), 0, m) ) = inode ∧ asynced0 ∧ ESUCCESS = err), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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