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Proof step 295 from proof afs-cons-rename-dir-dentry (previous step)

asynced1 ↔ new_dent.dentry?, asynced0 ↔ old_ino = new_ino ∧ new_dent = old_dent, dirs0[entries1[str0]] = mkdir(m4, md5, # links(entries1[str0], dirs0), m7, entries0), dirs0[entries[str]] = mkdir(m1, md3, # links(entries[str], dirs0), m3, ∅), dirs0[m] = mkdir(m2, md4, # links(m, dirs0), m5, entries), dirs0[m0] = mkdir(m6, md6, # links(m0, dirs0), m9, entries1), ¬ asynced0, dirs = dirs2[new_ino, dirs2[new_ino].entries:= dirs2[new_ino].entries[new_dent.name, old_dent.ino]], dirs1 = dirs0[old_ino, dirs0[old_ino].entries:= (dirs0[old_ino].entries -- old_dent.name)], dirs2 = dirs1[old_ino, dirs1[old_ino].size:= (dirs1[old_ino].size - 1)], new_child_inode = mkinode(entries[str], md, true, # links(entries[str], dirs0), m3, m1), new_dent = mkdentry(str, entries[str]), new_ino = new_parent_inode.ino, new_parent_inode = mkinode(m, md1, true, # links(m, dirs0), m5, m2), old_child_inode = mkinode(entries1[str0], md0, true, # links(entries1[str0], dirs0), m7, m4), old_dent = mkdentry(str0, entries1[str0]), old_ino = old_parent_inode.ino, old_parent_inode = mkinode(m0, md2, true, # links(m0, dirs0), m9, m6), old_dent.dentry?, afs-cons(dirs0, files), pre-rename(old_parent_inode, old_dent, old_child_inode, new_parent_inode, new_dent, new_child_inode, dirs0, files), str ∈ entries, str0 ∈ entries1, entries[str] ∈ dirs0, entries1[str0] ∈ dirs0, m ∈ dirs0, m0 ∈ dirs0, dirs1[old_ino].size ≥ 1, m = m0 → md1 = md2, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO, links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO ⊦ ⟪skip; if ¬ asynced1 then {dirs[new_ino].size := dirs[new_ino].size + 1; if old_dent.ino ∈ dirs then dirs[new_ino].nsubdirs := dirs[new_ino].nsubdirs + 1}; new_dent := mkdentry(new_dent.name, old_dent.ino); old_dent := negdentry(old_dent.name); afs_inode_sync#(old_parent_inode; dirs, files); afs_inode_sync#(new_parent_inode; dirs, files); if asynced1 then {afs_inode_sync#(new_child_inode; dirs, files); new_child_inode := getinode(new_child_inode.ino, dirs, files)}; old_parent_inode := getinode(old_parent_inode.ino, dirs, files); new_parent_inode := getinode(new_parent_inode.ino, dirs, files); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files), entries[str] = ROOT_INO, old_dent.ino ∈ dirs2, asynced1 ∧ ¬ asynced0

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Rule argument

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