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Proof step 510 from proof refine-link (previous step)

dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), 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), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), entries0[str] ∈ files, ino1 ∈ dirs, str ∈ entries0, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ⌊err1⌋ ∨ err1 = ENOENT ∧ ¬ ispath(q0, ROOT_INO, dirs, files) ∨ err1 = EACCESS ∧ p' ⊑ q0 ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ err1 = ESUCCESS, root[q + str '].dir?, pre-link(q + str ', q0 + str0 ', err1, user, root, abs-files(files), abs-of(of)), entries0[str] ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 511:
dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), 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), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), entries0[str] ∈ files, ino1 ∈ dirs, str ∈ entries0, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, err1 = EACCESS ∧ p' ⊑ q0 ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ∨ err1 = ENOENT ∧ ¬ ispath(q0, ROOT_INO, dirs, files) ⊦ err1 = ESUCCESS, root[q + str '].dir?, pre-link(q + str ', q0 + str0 ', err1, user, root, abs-files(files), abs-of(of)), entries0[str] ∈ dirs, ⌊err1⌋

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → pre-link(p, p', err, user, root, fs, ofh); (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)