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Proof step 623 from proof refine-unlink (previous step)

dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), files[entries0[str]] = mkfile(m0, md1, # links(entries0[str], dirs), content0), fs = abs-files(files), root.dir?, root[q].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), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries0, ino1 ∈ dirs, entries0[str] ∈ files, ⌊err2⌋ , psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ pre-unlink(q + str ', err2, user, root, fs, abs-of(of)) ∧ ⟨err0 := err2; if err0 = ESUCCESS then let fid = root[q + str '].fid in {root := root -- (q + str '); if ¬ fid ∈ abs-of(of).fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err2 = err0), root[q + str '].dir?, entries0[str] ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 624:
files[entries0[str]] = mkfile(m0, md1, # links(entries0[str], dirs), content0), dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), fs = abs-files(files), root[q].dir?, 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), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), entries0[str] ∈ files, ino1 ∈ dirs, str ∈ entries0, ⌊err2⌋ , ¬ root[q + str '].dir?, ¬ entries0[str] ∈ dirs, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨err0 := err2; if err0 = ESUCCESS then let fid = root[q + str '].fid in {root := root -- (q + str '); if ¬ fid ∈ abs-of(of).fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err2 = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → pre-unlink(p, err, user, root, fs, ofh); (s)