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Proof step 64 from proof inv-rmdir (previous step)

(entries0[str] = m ⊃ mkdir(m0 - 1, md1, # links(entries0[str], dirs0), m2 - 1, entries0 -- str) ;mkdir(m1, md3, # links(entries0[str], dirs0), m4, ∅) ) = mkdir(m3, md2, m5, m6, entries), dirs0[m] = mkdir(m0, md1, # links(m, dirs0), m2, entries0), dirs0[entries0[str]] = mkdir(m1, md3, # links(entries0[str], dirs0), m4, ∅), dirs = dirs0[entries0[str], mkdir(m3, md2, m5 - 1, m6, entries)] [m, (m = entries0[str] ⊃ mkdir(m3, md2, m5 - 1, m6, entries);mkdir(m0 - 1, md1, # links(m, dirs0), m2 - 1, entries0 -- str)).meta:= md ], ino = inode.ino, inode = mkinode(entries0[str], md0, true, # links(entries0[str], dirs0), m4, m1), afs-cons(dirs0, files), dcache-cons(dcache, dirs0, files), icache-cons(icache, dirs0, files), pcache-cons(pcache, dirs0, files), synced(dirs0, icache, pcache), ino ∈ files, m ∈ dirs0, str ∈ entries0, entries0[str] ∈ dirs0, 1 ≤ m0, 1 ≤ m2, 1 ≤ m5, asynced1 → synced(files, icache, pcache), links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ [p_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode (m, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta][m].meta, false, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta][m].nlink, 0, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta][m].size) ); c_inode := getinode(entries0[str], dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]) → ⟪if err = ESUCCESS then let asynced = false in {icache_set#(c_inode, asynced; err, icache); icache_set#(p_inode, asynced; err, icache); dcache_delete#(p_inode.ino, mkdentry(str, entries0[str]).name; err, dcache)}⟫ ( icache-cons (icache, dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]) ∧ dcache-cons (dcache, dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]) ∧ pcache-cons (pcache, dirs, files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta]) ∧ synced(dirs, icache, pcache) ∧ ( asynced1 → synced (files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta], icache, pcache)))), entries0[str] = ROOT_INO, m0 = 0, m2 = 0, m5 = 0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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