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Proof step 214 from proof refine-create (previous step)

dirs[ino1] = mkdir(# entries0, md1, # links(ino1, dirs), m1, entries0), fs = abs-files(files), path = q + str ', 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, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err1⌋ , psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ pre-create(path, md, err1, user, root, fs, abs-of(of)) ∧ ⟨err0 := err1; if err0 = ESUCCESS then choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0), str ∈ entries0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 215:
dirs[ino1] = mkdir(# entries0, md1, # links(ino1, dirs), m1, entries0), fs = abs-files(files), path = q + str ', 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, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err1⌋ , ¬ str ∈ entries0, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨err0 := err1; if err0 = ESUCCESS then choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)

Rule argument

Additional information

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