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Proof step 103 from proof refine-truncate-buff-none-uncached (previous step)

asynced ↔ false, asynced1 ↔ true, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, cache_files[m1] = mkfile(m3, md1, # links(m1, cache_dirs), content), ((cache_files ⊕ cache_pcache0) ⊕ cache_icache)[m1] = mkfile(m0, md0, # links(m1, cache_dirs), content0), buf = some(fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)).buf, buf-opt = some(fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)), buf-opt0 = none, cache_pcache = truncate(m1, m2, cache_pcache0), err = ESUCCESS, ino = m1, inode0 = mkinode(m1, md, false, # links(m1, cache_dirs), 0, m2), key = datakey(ino, pageno), pageno = m2 / VFS_PAGE_SIZE, pcache = cache_pcache, pe = mkpentry(asynced, buf), some(fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)).some?, 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), m2 / VFS_PAGE_SIZE ∈ content, m1 ∈ cache_files, m2 % VFS_PAGE_SIZE + n0 ≤ # content[m2 / VFS_PAGE_SIZE], m2 ≤ m, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ cache_pcache0 → key.data? ⊦ ⟨cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; afs_files := (cache_files ⊕ cache_pcache0) ⊕ cache_icache; afs_truncate#(m, m2 / VFS_PAGE_SIZE; buf-opt0, inode0, asynced5, err0, cache_dirs, afs_files, cache_asynced)⟩ ( cache_dirs = cache_dirs3 ∧ afs_files = ( cache_files [m1, mkfile (m, md, # links(m1, cache_dirs2), content[m2 / VFS_PAGE_SIZE, fill(content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ] ⊕ pcache[key, pe]) ⊕ cache_icache[m1, mkientry(false, mkinode(m1, md, false, # links(m1, cache_dirs0), 0, m))] ∧ ¬ cache_asynced ∧ buf-opt = buf-opt0 ∧ (m1 ∈ cache_dirs1 ⊃ mkinode(m1, cache_dirs1[m1].meta, true, cache_dirs1[m1].nlink, cache_dirs1[m1].nsubdirs, cache_dirs1[m1].size) ;mkinode(m1, md, false, # links(m1, cache_dirs1), 0, m) ) = inode0 ∧ (asynced1 ↔ asynced5) ∧ err = err0), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, datakey(m1, m2 / VFS_PAGE_SIZE) ∈ cache_pcache0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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