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Proof step 13 from proof inv-create (previous step)

# links(m, dirs) = dirs[m].nlink, dirs[m] = mkdir(dirs[m].size, md1, dirs[m].nlink, dirs[m].nsubdirs, entries), dent = negdentry(str), p_inode = mkinode(m, md0, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size), afs-cons(dirs, files), m ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_create_ino#(p_inode.ino, md, ino; dent, err, dirs, files); afs_inode_sync#(p_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(dent.ino, dirs, files); asynced := ?⟫ afs-cons(dirs, files), ino = 0, str ∈ entries, str ∈ dirs[m].entries, ino ∈ files, ino ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
# links(m, dirs) = dirs[m].nlink, dirs[m] = mkdir(dirs[m].size, md1, dirs[m].nlink, dirs[m].nsubdirs, entries), dent = negdentry(str), p_inode = mkinode(m, md0, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size), ino ≠ 0, afs-cons(dirs, files), m ∈ dirs, ¬ ino ∈ dirs, ¬ ino ∈ files, ¬ str ∈ dirs[m].entries, ¬ str ∈ entries, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_create_ino#(m, md, ino; dent, err, dirs, files); afs_inode_sync#(p_inode; dirs, files); p_inode := (p_inode.ino ∈ dirs ⊃ mkinode(p_inode.ino, dirs[p_inode.ino].meta, true, dirs[p_inode.ino].nlink, dirs[p_inode.ino].nsubdirs, dirs[p_inode.ino].size) ;mkinode(p_inode.ino, files[p_inode.ino].meta, false, files[p_inode.ino].nlink, 0, files[p_inode.ino].size) ); c_inode := getinode(dent.ino, dirs, files); asynced := ?⟫ afs-cons(dirs, files)

Rule argument

Additional information

Used simplifier rules: ⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)