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Proof step 10 from proof inv-rename-dir-negdentry (previous step)

new_parent_inode.nlink = dirs[new_parent_inode.ino].nlink, new_parent_inode.nsubdirs = dirs[new_parent_inode.ino].nsubdirs, new_parent_inode.size = dirs[new_parent_inode.ino].size, boolvar, m0 = dirs[m].nlink, m1 = dirs[m].nsubdirs, m2 = dirs[m].size, new_dent = negdentry(str0), old_child_inode = mkinode(dirs[m].entries[str], md, true, dirs[dirs[m].entries[str]].nlink, dirs[dirs[m].entries[str]].nsubdirs, dirs[dirs[m].entries[str]].size), old_dent = mkdentry(str, dirs[m].entries[str]), old_parent_inode = mkinode(m, md0, boolvar, m0, m1, m2), new_parent_inode.directory, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), new_parent_inode.ino ∈ dirs, m ∈ dirs, dirs[m].entries[str] ∈ dirs, str ∈ dirs[m].entries, asynced → synced(files, icache, pcache), new_parent_inode.ino = m → new_parent_inode.meta = md0, links(new_parent_inode.ino, dirs) ≠ ∅ ∨ new_parent_inode.ino = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪cache_rename# (; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files, icache, dcache, asynced0)⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced → synced(files, icache, pcache))), str0 ∈ dirs[new_parent_inode.ino].entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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