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Proof step 8 from proof inv-rename-file-negdentry (previous step)

old_parent_inode.nlink = dirs[old_parent_inode.ino].nlink, new_parent_inode.nlink = dirs[new_parent_inode.ino].nlink, old_parent_inode.nsubdirs = dirs[old_parent_inode.ino].nsubdirs, new_parent_inode.nsubdirs = dirs[new_parent_inode.ino].nsubdirs, old_parent_inode.size = dirs[old_parent_inode.ino].size, new_parent_inode.size = dirs[new_parent_inode.ino].size, ¬ boolvar, m = dirs[old_parent_inode.ino].entries[str], m0 = files[m].nlink, m1 = 0, new_dent = negdentry(str0), old_child_inode = mkinode(m, md, boolvar, m0, m1, m2), old_dent = mkdentry(str, m), old_parent_inode.directory, 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 ∈ files, old_parent_inode.ino ∈ dirs, str ∈ dirs[old_parent_inode.ino].entries, asynced → synced(files, icache, pcache), new_parent_inode.ino = old_parent_inode.ino → new_parent_inode.meta = old_parent_inode.meta, links(new_parent_inode.ino, dirs) ≠ ∅ ∨ new_parent_inode.ino = ROOT_INO, links(old_parent_inode.ino, dirs) ≠ ∅ ∨ old_parent_inode.ino = 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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