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Proof step 341 from proof afs-cons-rename-dir-dentry (previous step)

dirs0[m] = mkdir(m1, md1, # links(m, dirs0), m4, entries0), dirs0[entries0[str0]] = mkdir(m0, md0, # links(entries0[str0], dirs0), m2, ∅), dirs0[entries0[str0]] = mkdir(m3, md3, m5, m6, entries), dirs = dirs0, afs-cons(dirs0, files), str0 ∈ entries0, m ∈ dirs0, entries0[str0] ∈ dirs0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_inode_sync#(mkinode(m, md2, true, # links(m, dirs0), m4, m1); dirs, files); afs_inode_sync#(mkinode(m, md2, true, # links(m, dirs0), m4, m1); dirs, files); afs_inode_sync#(mkinode(entries0[str0], md, true, # links(entries0[str0], dirs0), m6, m3); dirs, files); new_child_inode := getinode(entries0[str0], dirs, files); old_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); new_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files), entries0[str0] = ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 342:
dirs0[entries0[str0]] = mkdir(m3, md3, # links(entries0[str0], dirs0), m6, ∅), dirs0[m] = mkdir(m1, md1, # links(m, dirs0), m4, entries0), dirs = dirs0, entries0[str0] ≠ ROOT_INO, afs-cons(dirs0, files), entries0[str0] ∈ dirs0, m ∈ dirs0, str0 ∈ entries0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_inode_sync#(mkinode(m, md2, true, # links(m, dirs0), m4, m1); dirs, files); afs_inode_sync#(mkinode(m, md2, true, # links(m, dirs0), m4, m1); dirs, files); afs_inode_sync#(mkinode(entries0[str0], md, true, # links(entries0[str0], dirs0), m6, m3); dirs, files); new_child_inode := getinode(entries0[str0], dirs, files); old_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); new_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files)

Rule argument

Additional information

Used simplifier rules: ⊦ mkdir(m, md, m0, m1, entries) = mkdir(m2, md0, m3, m4, entries0) ↔ m = m2 ∧ md = md0 ∧ m0 = m3 ∧ m1 = m4 ∧ entries = entries0; (ws)%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