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Proof step 477 from proof inv-write (previous step)

VFS_PAGE_SIZE = n1 + (m0 + ino0) % VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md1, # links(m, dirs), content0), dirs[m] = mkdir(m8, md3, m9, m10, entries), files[m] = mkfile(m2, md0, m7, content), dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons (of, dirs, files[m, mkfile(m2, md0, m7, content[(m0 + ino0) / VFS_PAGE_SIZE, copy(buf0, ino0, zeropage, (m0 + ino0) % VFS_PAGE_SIZE, min(n2, n1))])]), of-cons(of, dirs, files0), of-cons(of, dirs, files), fd ∈ of, m ∈ files0, ROOT_INO ∈ dirs, ino0 + min(n2, n1) ≤ # buf0, (m0 + ino0) % VFS_PAGE_SIZE + min(n2, n1) ≤ VFS_PAGE_SIZE, n2 + ino0 ≤ # buf0, ino0 ≤ # buf0 ⊦ n2 + ino0 = 0, min(n2, n1) = 0, (m0 + ino0) / VFS_PAGE_SIZE ∈ content, mode ≠ MODE_W ∧ mode ≠ MODE_RW, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, (m ∈ files → m7 = # links(m, dirs)) ∧ ( m ∈ files ∧ n ∈ content[(m0 + ino0) / VFS_PAGE_SIZE, copy(buf0, ino0, zeropage, (m0 + ino0) % VFS_PAGE_SIZE, min(n2, n1))] → # content[(m0 + ino0) / VFS_PAGE_SIZE, copy(buf0, ino0, zeropage, (m0 + ino0) % VFS_PAGE_SIZE, min(n2, n1))][n] = VFS_PAGE_SIZE)

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: n = (m0 + ino0) / VFS_PAGE_SIZE

Additional information

Used simplifier rules: ⊦ n ≠ n0 → (n ∈ content[n0, buf] ↔ n ∈ content); (s)% ⊦ n ∈ content ∧ ¬ n0 ∈ content → content[n0, buf][n] = content[n]; (s)%⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)%afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base% ⊦ n ∈ content[n0, buf] ↔ n = n0 ∨ n ∈ content; (ws)% ⊦ content[n, buf][n] = buf; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)% ⊦ # zeropage = VFS_PAGE_SIZE; (s) Used formulas: n = (m0 + ino0) / VFS_PAGE_SIZE