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Proof step 32 from proof inv-create (previous step)

dirs0[m] = mkdir(m0, md2, # links(m, dirs0), m2, entries1), dirs = dirs0[m, mkdir(m0 + 1, md2, # links(m, dirs0), m2, entries1[str, ino])], files = (files0 ++ ino)[ino, mkfile(0, md, 1, ∅)], inode = mkinode(m, md0, true, # links(m, dirs0), m2, m0), afs-cons(dirs0, files0), dcache-cons(dcache, dirs0, files0), icache-cons(icache, dirs0, files0), pcache-cons(pcache, dirs0, files0), synced(dirs0, icache, pcache), m ∈ dirs0, asynced1 → synced(files0, icache, pcache), links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ [let ino = inode.ino in if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; p_inode := (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) ); c_inode := getinode(mkdentry(str, ino).ino, dirs, files); asynced := ?] ( afs-cons(dirs, files) → ⟪let asynced = false in {err := ESUCCESS; icache_set#(p_inode, asynced; err, icache); icache_set#(c_inode, asynced; err, icache); dcache_set#(p_inode.ino, str, mkdentry(str, ino); err, dcache)}⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced1 → synced(files, icache, pcache)))), ino = 0, ino ∈ dirs0, ino ∈ files0, str ∈ entries1

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

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