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Proof step 289 from proof inv-write (previous step)

n3 + m0 = n2 + (n3 + m0) / VFS_PAGE_SIZE * VFS_PAGE_SIZE, (n3 + m0) + n1 = (n3 + m0) / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, of[fd, mkfile(m, mode, m0 + n3)][n0] = mkfile(m5, mode1, m6), files[m] = mkfile(m2, md, # links(m, dirs), content), of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(n3 + m0, md0, # links(m, dirs), content0), of[n0] = mkfile(m3, mode0, m4), n3 < ino4, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files1), of-cons(of, dirs, files), of-cons(of, dirs, files1), n0 ∈ of[fd, mkfile(m, mode, m0 + n3)], m ∈ files1, (n3 + m0) / VFS_PAGE_SIZE ∈ content0, fd ∈ of, m ∈ files, m3 ∈ files1, n0 ∈ of, (n3 + m0) % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE, ⌊err0⌋ ⊦ n = 0, n2 = 0, m5 ∈ files, err1 = ESUCCESS ∧ ¬ isdir, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: n0 = fd

Additional information

Used simplifier rules: ⊦ fd ≠ fd0 → of[fd0, file][fd] = of[fd]; (s)% ⊦ fd ≠ fd0 → (fd ∈ of[fd0, file] ↔ fd ∈ of); (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) → ino ∈ files; (ss)% ⊦ of[fd, file][fd] = file; (s)%⊦ mkfile(m, mode, m0) = mkfile(m1, mode0, m2) ↔ m = m1 ∧ mode = mode0 ∧ m0 = m2; (ws) Used formulas: n0 = fd