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Proof step 17 from proof inv-renam (previous step)

dirs[m] = mkdir(m12, md5, # links(m, dirs), m14, entries), files[entries0[str]] = mkfile(m5, md3, m9, content), files[new_dent.ino] = mkfile(m10, md4, m11, content0), dirs[m4] = mkdir(m13, md6, m15, m16, entries0), new_child_inode = mkinode(m0, md0, boolvar, m1, m2, m3), new_parent_inode = mkinode(m, md, true, # links(m, dirs), m14, m12), old_child_inode = mkinode(entries0[str], md2, boolvar0, m6, m7, m8), old_dent = mkdentry(str, entries0[str]), old_parent_inode = mkinode(m4, md1, true, m15, m16, m13), afs-cons(dirs, files), m4 ∈ dirs, str ∈ entries0, m ∈ dirs, m = m4 → md = md1, links(m4, dirs) ≠ ∅ ∨ m4 = ROOT_INO, entries0[str] ∈ dirs ∨ entries0[str] ∈ files, entries0[str] ∈ dirs ∧ m6 = dirs[entries0[str]].nlink ∧ m8 = dirs[entries0[str]].size ∧ m7 = dirs[entries0[str]].nsubdirs ∧ boolvar0 ∨ entries0[str] ∈ files ∧ m6 = m9 ∧ m7 = 0 ∧ ¬ boolvar0, (links(m, dirs) ≠ ∅ ∨ m = ROOT_INO) ∧ ¬ new_dent.name ∈ entries ∧ new_dent.negdentry? ∨ (links(m, dirs) ≠ ∅ ∨ m = ROOT_INO) ∧ (new_dent.ino ∈ dirs ∨ new_dent.ino ∈ files) ∧ new_dent.name ∈ entries ∧ new_dent.ino = entries[new_dent.name] ∧ new_dent.dentry? ∧ ( new_dent.ino ∈ dirs ∧ m1 = dirs[new_dent.ino].nlink ∧ m3 = dirs[new_dent.ino].size ∧ m2 = dirs[new_dent.ino].nsubdirs ∧ boolvar ∨ new_dent.ino ∈ files ∧ m1 = m11 ∧ m2 = 0 ∧ ¬ boolvar) ∧ m0 = new_dent.ino ∧ (new_dent.ino ∈ files ↔ entries0[str] ∈ files) ∧ (new_dent.ino ∈ dirs → new_dent.ino ≠ ROOT_INO ∧ dirs[new_dent.ino].entries = ∅) ⊦ ⟪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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
dirs[m] = mkdir(m12, md5, # links(m, dirs), m14, entries), files[entries0[str]] = mkfile(m5, md3, m9, content), files[new_dent.ino] = mkfile(m10, md4, m11, content0), dirs[m4] = mkdir(m13, md6, # links(m4, dirs), m16, entries0), new_child_inode = mkinode(m0, md0, boolvar, m1, m2, m3), new_parent_inode = mkinode(m, md, true, # links(m, dirs), m14, m12), old_child_inode = mkinode(entries0[str], md2, boolvar0, m6, m7, m8), old_dent = mkdentry(str, entries0[str]), old_parent_inode = mkinode(m4, md1, true, # links(m4, dirs), m16, m13), afs-cons(dirs, files), m4 ∈ dirs, str ∈ entries0, m ∈ dirs, m = m4 → md = md1, links(m4, dirs) ≠ ∅ ∨ m4 = ROOT_INO, entries0[str] ∈ dirs ∨ entries0[str] ∈ files, entries0[str] ∈ dirs ∧ m6 = dirs[entries0[str]].nlink ∧ m8 = dirs[entries0[str]].size ∧ m7 = dirs[entries0[str]].nsubdirs ∧ boolvar0 ∨ entries0[str] ∈ files ∧ m6 = m9 ∧ m7 = 0 ∧ ¬ boolvar0, (links(m, dirs) ≠ ∅ ∨ m = ROOT_INO) ∧ ¬ new_dent.name ∈ entries ∧ new_dent.negdentry? ∨ (links(m, dirs) ≠ ∅ ∨ m = ROOT_INO) ∧ (new_dent.ino ∈ dirs ∨ new_dent.ino ∈ files) ∧ new_dent.name ∈ entries ∧ new_dent.ino = entries[new_dent.name] ∧ new_dent.dentry? ∧ ( new_dent.ino ∈ dirs ∧ m1 = dirs[new_dent.ino].nlink ∧ m3 = dirs[new_dent.ino].size ∧ m2 = dirs[new_dent.ino].nsubdirs ∧ boolvar ∨ new_dent.ino ∈ files ∧ m1 = m11 ∧ m2 = 0 ∧ ¬ boolvar) ∧ m0 = new_dent.ino ∧ (new_dent.ino ∈ files ↔ entries0[str] ∈ files) ∧ (new_dent.ino ∈ dirs → new_dent.ino ≠ ROOT_INO ∧ dirs[new_dent.ino].entries = ∅) ⊦ ⟪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