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Proof step 11 from proof afs-cons-rename-file-negdentry (previous step)

new_parent_inode.nlink = dirs[new_parent_inode.ino].nlink, new_parent_inode.nsubdirs = dirs[new_parent_inode.ino].nsubdirs, new_parent_inode.size = dirs[new_parent_inode.ino].size, new_dent = negdentry(str0), old_child_inode = mkinode(dirs[m].entries[str], md, false, files[dirs[m].entries[str]].nlink, 0, m2), old_dent = mkdentry(str, dirs[m].entries[str]), old_parent_inode = mkinode(m, md0, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size), new_parent_inode.directory, afs-cons(dirs, files), str ∈ dirs[m].entries, m ∈ dirs, dirs[m].entries[str] ∈ files, new_parent_inode.ino ∈ dirs, ¬ str0 ∈ dirs[new_parent_inode.ino].entries, new_parent_inode.ino = m → new_parent_inode.meta = md0, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(new_parent_inode.ino, dirs) ≠ ∅ ∨ new_parent_inode.ino = 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)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
boolvar, m1 = dirs[m0].nlink, m3 = dirs[m0].nsubdirs, m4 = dirs[m0].size, new_dent = negdentry(str0), new_parent_inode = mkinode(m0, md1, boolvar, m1, m3, m4), old_child_inode = mkinode(dirs[m].entries[str], md, false, files[dirs[m].entries[str]].nlink, 0, m2), old_dent = mkdentry(str, dirs[m].entries[str]), old_parent_inode = mkinode(m, md0, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size), afs-cons(dirs, files), m0 ∈ dirs, dirs[m].entries[str] ∈ files, m ∈ dirs, str ∈ dirs[m].entries, m0 = m → md1 = 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), str0 ∈ dirs[m0].entries

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [new_parent_inode, m0, md1, boolvar, m1, m3, m4]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: new_parent_inode, m0, md1, boolvar, m1, m3, m4