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Proof step 231 from proof refine-mkdir (previous step)

asynced ↔ bv, dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), err = err0, err1 = err, err3 = err4, err4 = ESUCCESS, 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), ino1 ∈ dirs, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨posix_mkdir#(q + str ', md, user, fs, abs-of(of); err2, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err2), err1 = ESUCCESS, str ∈ entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 232:
dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), 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), ino1 ∈ dirs, ⌊err0⌋ , ¬ str ∈ entries, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨posix_mkdir#(q + str ', md, user, abs-files(files), abs-of(of); err2, root; psynced)⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err0 = err2)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)