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Proof step 26 from proof afs-cons-rename-dentry (previous step)

entries[str] ∈ files ↔ entries0[str0] ∈ files, dirs[entries0[str0]] = mkdir(m18, md8, m19, m20, entries2), dirs[m0] = mkdir(m12, md6, # links(m0, dirs), m15, entries0), files[entries0[str0]] = mkfile(m9, md4, m10, content0), files[entries[str]] = mkfile(m1, md3, m8, content), dirs[m] = mkdir(m11, md5, # links(m, dirs), m13, entries), dirs[entries[str]] = mkdir(m14, md7, m16, m17, entries1), new_child_inode = mkinode(entries[str], md1, boolvar, m2, m3, m4), new_dent = mkdentry(str, entries[str]), new_parent_inode = mkinode(m, md, true, # links(m, dirs), m13, m11), old_child_inode = mkinode(entries0[str0], md2, boolvar0, m5, m6, m7), old_dent = mkdentry(str0, entries0[str0]), old_parent_inode = mkinode(m0, md0, true, # links(m0, dirs), m15, m12), old_child_inode.directory, afs-cons(dirs, files), m0 ∈ dirs, m ∈ dirs, str0 ∈ entries0, str ∈ entries, entries[str] ∈ dirs → entries1 = ∅, m = m0 → md = md0, entries0[str0] ∈ dirs ∧ m5 = m19 ∧ m7 = m18 ∧ m6 = m20 ∧ boolvar0 ∨ entries0[str0] ∈ files ∧ m5 = m10 ∧ m6 = 0 ∧ ¬ boolvar0, entries[str] ∈ dirs ∧ m2 = m16 ∧ m4 = m14 ∧ m3 = m17 ∧ boolvar ∨ entries0[str0] ∈ files ∧ m2 = m8 ∧ m3 = 0 ∧ ¬ boolvar, links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO, entries0[str0] ∈ dirs ∨ entries0[str0] ∈ files, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, entries[str] ∈ dirs ∨ entries0[str0] ∈ files ⊦ ⟪afs_rename#(; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files), entries[str] = ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
dirs[entries0[str0]] = mkdir(m18, md8, # links(entries0[str0], dirs), m20, entries2), dirs[m0] = mkdir(m12, md6, # links(m0, dirs), m15, entries0), files[entries0[str0]] = mkfile(m9, md4, m10, content0), files[entries[str]] = mkfile(m1, md3, m8, content), dirs[m] = mkdir(m11, md5, # links(m, dirs), m13, entries), dirs[entries[str]] = mkdir(m14, md7, # links(entries[str], dirs), m17, ∅), new_child_inode = mkinode(entries[str], md1, true, # links(entries[str], dirs), m17, m14), new_dent = mkdentry(str, entries[str]), new_parent_inode = mkinode(m, md, true, # links(m, dirs), m13, m11), old_child_inode = mkinode(entries0[str0], md2, true, # links(entries0[str0], dirs), m20, m18), old_dent = mkdentry(str0, entries0[str0]), old_parent_inode = mkinode(m0, md0, true, # links(m0, dirs), m15, m12), entries[str] ≠ ROOT_INO, afs-cons(dirs, files), entries[str] ∈ dirs, entries0[str0] ∈ dirs, m0 ∈ dirs, m ∈ dirs, str0 ∈ entries0, str ∈ entries, m = m0 → md = md0, links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_rename#(; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files)

Rule argument

Additional information

Used simplifier rules: afs-cons-dir-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs ∧ dirs[ino] = mkdir(n0, md, n, n1, entries) → # links(ino, dirs) = n; (forward) from specification afs-base%⊦ ino ∈ dirs ∧ dirs[ino] = mkdir(n0, md, n, n1, entries) ∧ str ∈ entries ∧ afs-cons(dirs, files) → (entries[str] ∈ files ↔ ¬ entries[str] ∈ dirs); (ss)% ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)