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Proof step 261 from proof inv-write (previous step)

m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, (ino = m ⊃ mkfile(m0 + ino4, md0, # links(m, dirs), content);mkfile(m3, md1, m4, content1)) = mkfile(m5, md2, m6, content2), dirs[ino] = mkdir(m7, md3, m8, m9, entries), files[m] = mkfile(m2, md, # links(m, dirs), content), files1[m] = mkfile(m1, md0, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), files[ino] = mkfile(m3, md1, m4, content1), m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, m1 < m0 + ino4, dom of < ino3, afs-cons(dirs, files1), afs-cons(dirs, files), of-cons(of, dirs, files1), of-cons(of, dirs, files), ROOT_INO ∈ dirs, m ∈ files, fd ∈ of, m1 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, n2 + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, m1 % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE ⊦ ino4 = 0, n = 0, n2 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, err1 = ESUCCESS ∧ ¬ isdir, of-cons(of[fd, mkfile(m, mode, m0 + ino4)], dirs, files[m, mkfile(m0 + ino4, md0, # links(m, dirs), content)]) ∧ ( (ino ∈ dirs ∧ ino ≠ ROOT_INO ∧ links(ino, dirs) = ∅ → entries = ∅) ∧ (ino ∈ dirs → m8 = # links(ino, dirs) ∧ # links(ino, dirs) ≤ 1 ∧ m7 = # entries ∧ m9 = # subdirs(ino, dirs)) ∧ (ino ∈ files → ¬ ino ∈ dirs ∧ m4 = # links(ino, dirs)) ∧ (ino ∈ dirs ∧ name ∈ entries → entries[name] ∈ dirs ∨ entries[name] ∈ files) → (ino ∈ files → ¬ ino ∈ dirs ∧ m6 = # links(ino, dirs)) ∧ (ino ∈ files ∧ n0 ∈ content2 → # content2[n0] = VFS_PAGE_SIZE))

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 2

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