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Proof step 302 from proof inv-write (previous step)

m5 + n1 = m5 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, of[n0] = mkfile(m1, mode0, m2), of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m5, md, # links(m, dirs), content0), of[fd, mkfile(m, mode, m0 + (m0 ≤ m5 ⊃ n3;0))][n0] = mkfile(m3, mode1, m4), m5 = n2 + m5 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, m5 = n3 + m0, dom of < ino3, m5 < m0 + ino4, afs-cons(dirs, files), afs-cons(dirs, files1), of-cons(of, dirs, files), of-cons(of, dirs, files1), n0 ∈ of, m1 ∈ files, m ∈ files1, m5 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, n0 ∈ of[fd, mkfile(m, mode, m0 + n3)], m5 % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE, m0 ≤ m5, ⌊err0⌋ ⊦ ino4 = 0, n = 0, n2 = 0, m3 ∈ files, err1 = ESUCCESS ∧ ¬ isdir, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 303:
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(m3, mode1, m4), of[n0] = mkfile(m1, mode0, m2), of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(n3 + m0, md, # links(m, dirs), content0), 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, m1 ∈ files, m ∈ files1, (n3 + m0) / VFS_PAGE_SIZE ∈ content0, fd ∈ of, n0 ∈ of[fd, mkfile(m, mode, m0 + n3)], (n3 + m0) % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE, ⌊err0⌋ ⊦ n = 0, n2 = 0, m3 ∈ files, err1 = ESUCCESS ∧ ¬ isdir, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)