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Proof step 135 from proof refine-create (previous step)

asynced ↔ bv, dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), dent = negdentry((q + str ').last), err = err0, err1 = ESUCCESS, err1 = err, err3 = err4, err4 = ESUCCESS, fs = abs-files(files), inode = (ino1 ∈ dirs ⊃ mkinode(ino1, md0, true, # links(ino1, dirs), m1, # entries) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ), 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, psynced → asynced0, ⌊err0⌋ ∨ err0 = ESUCCESS, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [afs_create#(md; inode, c_inode, dent, err1, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err2)), q + str ' = ε, str ∈ entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 136:
dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), dent = negdentry(str), err = ESUCCESS, fs = abs-files(files), inode = mkinode(ino1, md0, true, # links(ino1, dirs), m1, # entries), 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, ¬ str ∈ entries, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [afs_create#(md; inode, c_inode, dent, err, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(q + str ', md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err2))

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ p + str ' ≠ ε; (s)%a: ⊦ (p + p0) + p1 = p + p0 + p1; from specification list[path]% ⊦ (p + str ').last = str; (s)