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Proof step 226 from proof afs-cons-rename-file-dentry (previous step)

asynced0 ↔ old_ino = new_ino ∧ new_dent = old_dent, asynced1 ↔ new_dent.dentry?, dirs0[m0] = mkdir(m6, md6, # links(m0, dirs0), m9, entries0), files[entries0[str0]] = mkfile(m4, md4, # links(entries0[str0], dirs0), content0), files[entries[str]] = mkfile(m1, md3, # links(entries[str], dirs0), content), dirs0[m] = mkdir(m5, md5, # links(m, dirs0), m7, entries), asynced0, ¬ asynced1, dirs = dirs2[new_ino, dirs2[new_ino].size:= (dirs2[new_ino].size + 1)], dirs1 = dirs0[old_ino, dirs0[old_ino].entries:= (dirs0[old_ino].entries -- old_dent.name)], dirs2 = dirs1[new_ino, dirs1[new_ino].entries:= dirs1[new_ino].entries[new_dent.name, old_dent.ino]], new_child_inode = mkinode(entries[str], md, false, # links(entries[str], dirs0), 0, m2), new_dent = mkdentry(str, entries[str]), new_ino = new_parent_inode.ino, new_parent_inode = mkinode(m, md1, true, # links(m, dirs0), m7, m5), old_child_inode = mkinode(entries0[str0], md0, false, # links(entries0[str0], dirs0), 0, m3), old_dent = mkdentry(str0, entries0[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), entries0[str0] ∈ files, entries[str] ∈ files, m0 ∈ dirs0, m ∈ dirs0, str0 ∈ entries0, str ∈ entries, m = m0 → md1 = md2, links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪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), old_dent.ino ∈ dirs

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ mkdentry(str, m).name = str; (s)% ⊦ dirs[ino, ad][ino0] = (ino0 = ino ∧ ino ∈ dirs ⊃ ad;dirs[ino0]); (s)% ⊦ mkdentry(str, m).ino = m; (s)% ⊦ ino ∈ dirs[ino0, ad] ↔ ino ∈ dirs; (s)% ⊦ (ad.entries:= entries).size = ad.size; (s)% ⊦ dirs[ino, ad][ino, ad0] = dirs[ino, ad0]; (s)% ⊦ mkdentry(str, m).dentry?; (s)