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Proof step 194 from proof inv-rmdir (previous step)

(entries[str] = ino1 ⊃ mkdir(m - 1, md1, # links(entries[str], dirs0), m2 - 1, entries -- str) ;mkdir(0, md, # links(entries[str], dirs0), m1, ∅) ) = mkdir(m0, md0, m3, m4, entries0), dirs0[ino1] = mkdir(m, md1, # links(ino1, dirs0), m2, entries), dirs0[entries[str]] = mkdir(0, md, # links(entries[str], dirs0), m1, ∅), dirs = dirs0[entries[str], mkdir(m0, md0, m3 - 1, m4, entries0)] [ino1, (ino1 = entries[str] ⊃ mkdir(m0, md0, m3 - 1, m4, entries0);mkdir(m - 1, md1, # links(ino1, dirs0), m2 - 1, entries -- str)).meta:= md1 ], ino = inode.ino, inode = mkinode(entries[str], md, true, # links(entries[str], dirs0), m1, 0), dom of < ino0, afs-cons(dirs0, files), ispath(q, ROOT_INO, ino1, dirs0, files), of-cons(of, dirs0, files), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs0, files), entries[str] ∈ dirs0, str ∈ entries, ino1 ∈ dirs0, 1 ≤ m3, 1 ≤ m2, 1 ≤ m, links(ino1, dirs0) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [c_inode := getinode(entries[str], dirs, files); err := ESUCCESS; asynced := ?] (afs-cons(dirs, files) → ⟪vfs_put_inode#(c_inode, of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))), entries[str] = ROOT_INO, m = 0, m2 = 0, m3 = 0, ino ∈ files, ino ∈ dirs

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ ino ∈ dirs ∧ dirs[ino] = mkdir(n0, md, n, n1, entries) ∧ str ∈ entries ∧ afs-cons(dirs, files) → (entries[str] ∈ files ↔ ¬ entries[str] ∈ dirs); (ss)% ⊦ ino ∈ dirs[ino0, ad] ↔ ino ∈ dirs; (s)%⊦ mkdir(m, md, m0, m1, entries).meta:= md0 = mkdir(m, md0, m0, m1, entries); (s)