Proof step 84 from proof inv-truncate-buff-none-cached (previous step)

Heuristic symbolic execution applied rule let right

And obtained the following new goals

• Proof step 85:

  # buf0 = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files0[m] = mkfile(m1, md1, # links(m, dirs), content0), pcache[datakey(m, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), files = files0[m, mkfile(m1, md1, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(buf0, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2)], ino = inode.ino, inode = mkinode(m, md, false, # links(m, dirs), 0, n), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), pcache-cons(pcache, dirs, files0), synced(dirs, icache, pcache), m ∈ files0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache, m2 ≤ n, asynced2 → synced(files0, icache, pcache) ⊦ [if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; inode0 := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files) → ⟪asynced4 := true; if err = ESUCCESS then let asynced = false in {icache_set#(inode0, asynced; err, icache); pcache_truncate#(inode0.ino, m2, n; err, pcache); if asynced4 then pcache_set# (inode0.ino, m2 / VFS_PAGE_SIZE, some(fill(some(buf0).buf, zero, m2 % VFS_PAGE_SIZE, n0)).buf, asynced; err, pcache)}; if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt0 := none⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))), m2 % VFS_PAGE_SIZE = 0

Rule argument

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