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Proof step 55 from proof refine-rmdir (previous step)

isdir0 ↔ isdir, root[q].dir? ↔ ino1 ∈ dirs, isdir ↔ isdir2, isrename ↔ false, isdir1 ↔ true, dent = negdentry(str), err = ENOTDIR, err1 = err, err2 = ESUCCESS, err3 = ESUCCESS, fs = abs-files(files), ino = ino1, inode = getinode(ino, dirs, files), isdir2, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), psynced → asynced ⊦ [skip] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_rmdir#(q + str ', user, fs, abs-of(of); err0, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)), inode.directory

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Rule argument

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