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Proof step 19 from proof inv-create (previous step)

⟨afs_create_ino#(m, md, ino; dent, err, dirs, files)⟩ (dent = dent0 ∧ err = err0 ∧ dirs = dirs0 ∧ files = files0), # links(m, dirs) = m1, dirs[m] = mkdir(m0, md1, m1, m2, entries), dirs[m] = mkdir(m0, md2, m1, m2, entries0), dent = negdentry(str), p_inode = mkinode(m, md0, true, m1, m2, m0), afs-cons(dirs0, files0), afs-cons(dirs, files), m ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_inode_sync#(p_inode; dirs0, files0); p_inode := (p_inode.ino ∈ dirs0 ⊃ mkinode(p_inode.ino, dirs0[p_inode.ino].meta, true, dirs0[p_inode.ino].nlink, dirs0[p_inode.ino].nsubdirs, dirs0[p_inode.ino].size) ;mkinode(p_inode.ino, files0[p_inode.ino].meta, false, files0[p_inode.ino].nlink, 0, files0[p_inode.ino].size) ); c_inode := getinode(dent0.ino, dirs0, files0); asynced := ?⟫ afs-cons(dirs0, files0), ino = 0, ino ∈ dirs, ino ∈ files, str ∈ entries0, str ∈ entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
⟨afs_create_ino#(m, md, ino; dent, err, dirs, files)⟩ (dent = dent0 ∧ err = err0 ∧ dirs = dirs0 ∧ files = files0), dirs[m] = mkdir(m0, md2, # links(m, dirs), m2, entries0), dent = negdentry(str), ino ≠ 0, afs-cons(dirs, files), afs-cons(dirs0, files0), m ∈ dirs, ¬ str ∈ entries0, ¬ ino ∈ files, ¬ ino ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_inode_sync#(mkinode(m, md0, true, # links(m, dirs), m2, m0); dirs0, files0); p_inode := (m ∈ dirs0 ⊃ mkinode(m, dirs0[m].meta, true, dirs0[m].nlink, dirs0[m].nsubdirs, dirs0[m].size) ;mkinode(m, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ); c_inode := getinode(dent0.ino, dirs0, files0); asynced := ?⟫ afs-cons(dirs0, files0)

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)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)