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Proof step 255 from proof inv-write (previous step)

m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, 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), 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, of-cons(of[fd, mkfile(m, mode, m0 + ino4)], dirs, files[m, mkfile(m0 + ino4, md0, # links(m, dirs), content)]) ∧ ( ROOT_INO ∈ dirs ∧ (ino ∈ dirs ∧ ino ≠ ROOT_INO ∧ links(ino, dirs) = ∅ → dirs[ino].entries = ∅) ∧ ( ino ∈ dirs → dirs[ino].nlink = # links(ino, dirs) ∧ dirs[ino].nlink ≤ 1 ∧ dirs[ino].size = # dirs[ino].entries ∧ dirs[ino].nsubdirs = # subdirs(ino, dirs)) ∧ (ino ∈ files → ¬ ino ∈ dirs ∧ m4 = # links(ino, dirs)) ∧ (ino ∈ dirs ∧ name ∈ dirs[ino].entries → dirs[ino].entries[name] ∈ dirs ∨ dirs[ino].entries[name] ∈ files) ∧ (ino ∈ files ∧ n0 ∈ content1 → # content1[n0] = VFS_PAGE_SIZE) → (ino ∈ files → ¬ ino ∈ dirs ∧ (ino = m ⊃ mkfile(m0 + ino4, md0, # links(m, dirs), content);files[ino]).nlink = # links(ino, dirs)) ∧ ( ino ∈ files ∧ n0 ∈ (ino = m ⊃ mkfile(m0 + ino4, md0, # links(m, dirs), content);files[ino]).content → # (ino = m ⊃ mkfile(m0 + ino4, md0, # links(m, dirs), content);files[ino]).content[n0] = VFS_PAGE_SIZE)), mode ≠ MODE_W ∧ mode ≠ MODE_RW, err1 = ESUCCESS ∧ ¬ isdir

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 256:
m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, files[ino] = mkfile(m3, md1, m4, content1), of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md0, # links(m, dirs), content0), files[m] = mkfile(m2, md, # links(m, dirs), content), m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, dom of < ino3, m1 < m0 + ino4, afs-cons(dirs, files), afs-cons(dirs, files1), of-cons(of, dirs, files), of-cons(of, dirs, files1), m ∈ files1, m1 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, m ∈ files, m1 % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE ⊦ ino4 = 0, n = 0, n2 = 0, err1 = ESUCCESS ∧ ¬ isdir, mode ≠ MODE_W ∧ mode ≠ MODE_RW, of-cons(of[fd, mkfile(m, mode, m0 + ino4)], dirs, files[m, mkfile(m0 + ino4, md0, # links(m, dirs), content)]) ∧ ( ROOT_INO ∈ dirs ∧ (ino ∈ dirs ∧ ino ≠ ROOT_INO ∧ links(ino, dirs) = ∅ → dirs[ino].entries = ∅) ∧ ( ino ∈ dirs → dirs[ino].nlink = # links(ino, dirs) ∧ dirs[ino].nlink ≤ 1 ∧ dirs[ino].size = # dirs[ino].entries ∧ dirs[ino].nsubdirs = # subdirs(ino, dirs)) ∧ (ino ∈ files → ¬ ino ∈ dirs ∧ m4 = # links(ino, dirs)) ∧ (ino ∈ dirs ∧ name ∈ dirs[ino].entries → dirs[ino].entries[name] ∈ dirs ∨ dirs[ino].entries[name] ∈ files) → ( ino ∈ files → ¬ ino ∈ dirs ∧ (ino = m ⊃ mkfile(m0 + ino4, md0, # links(m, dirs), content);mkfile(m3, md1, m4, content1)).nlink = # links(ino, dirs)) ∧ ( ino ∈ files ∧ n0 ∈ (ino = m ⊃ mkfile(m0 + ino4, md0, # links(m, dirs), content);mkfile(m3, md1, m4, content1)).content → # (ino = m ⊃ mkfile(m0 + ino4, md0, # links(m, dirs), content);mkfile(m3, md1, m4, content1)).content[n0] = VFS_PAGE_SIZE))

Rule argument

Additional information

Used simplifier rules: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)