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Proof step 45 from proof inv-mkdir (previous step)

dirs0[m] = mkdir(m3, md1, # links(m, dirs0), m5, entries0), dirs = (dirs0[m, mkdir(m3 + 1, md1, # links(m, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)], ino = inode.ino, inode = mkinode(m, md0, true, # links(m, dirs0), m5, m3), afs-cons(dirs0, files), dcache-cons(dcache, dirs0, files), icache-cons(icache, dirs0, files), pcache-cons(pcache, dirs0, files), synced(dirs0, icache, pcache), m ∈ dirs0, ino ∈ dirs, asynced1 → synced(files, icache, pcache), links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ [p_inode := (m ∈ dirs[ino, dirs[ino].meta:= inode.meta] ⊃ mkinode (m, dirs[ino, dirs[ino].meta:= inode.meta][m].meta, true, dirs[ino, dirs[ino].meta:= inode.meta][m].nlink, dirs[ino, dirs[ino].meta:= inode.meta][m].nsubdirs, dirs[ino, dirs[ino].meta:= inode.meta][m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := getinode(mkdentry(str, ino0).ino, dirs[ino, dirs[ino].meta:= inode.meta], files); asynced := ?] ( afs-cons(dirs[ino, dirs[ino].meta:= inode.meta], 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, ino0); err, dcache)}⟫ ( icache-cons(icache, dirs[ino, dirs[ino].meta:= inode.meta], files) ∧ dcache-cons(dcache, dirs[ino, dirs[ino].meta:= inode.meta], files) ∧ pcache-cons(pcache, dirs[ino, dirs[ino].meta:= inode.meta], files) ∧ synced(dirs[ino, dirs[ino].meta:= inode.meta], icache, pcache) ∧ (asynced1 → synced(files, icache, pcache)))), ino0 = 0, str ∈ entries0, ino0 ∈ files, ino0 ∈ dirs0, ino ∈ files

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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