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Proof step 28 from proof read-loop-inv (previous step)

VFS_PAGE_SIZE = n4 + (n0 + n3) % VFS_PAGE_SIZE, files[m] = mkfile(m3, md0, m4, content), n0 + n3 < m2, n0 + n3 < n1, read-inv(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), buf2, buf1, n3, dirs, files), read-inv(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), buf2, buf3, n2, dirs, files), (n0 + n3) % VFS_PAGE_SIZE + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ # getpage((n0 + n3) / VFS_PAGE_SIZE, content), n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ # buf1 ⊦ m2 = n0 + n3, n1 = n0 + n3, n4 = 0, afs-cons(dirs, files) ∧ # buf2 = # copy(getpage((n0 + n3) / VFS_PAGE_SIZE, content), (n0 + n3) % VFS_PAGE_SIZE, buf1, n3, min(n1 - n0 + n3, n4, m2 - n0 + n3)) ∧ mkinode(m, md, boolvar, m0, m1, m2).ino ∈ files ∧ files[mkinode(m, md, boolvar, m0, m1, m2).ino].size = mkinode(m, md, boolvar, m0, m1, m2).size ∧ n0 + n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ n1 ∧ n0 + n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ mkinode(m, md, boolvar, m0, m1, m2).size ∧ n1 - n0 ≤ # buf2 ∧ read-inv (n0, n1, buf2, copy(getpage((n0 + n3) / VFS_PAGE_SIZE, content), (n0 + n3) % VFS_PAGE_SIZE, buf1, n3, min(n1 - n0 + n3, n4, m2 - n0 + n3)), n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3), files[mkinode(m, md, boolvar, m0, m1, m2).ino].content)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
VFS_PAGE_SIZE = n4 + (n0 + n3) % VFS_PAGE_SIZE, files[m] = mkfile(m3, md0, m4, content), n0 + n3 < m2, n0 + n3 < n1, read-inv(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), buf2, buf1, n3, dirs, files), read-inv(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), buf2, buf3, n2, dirs, files), (n0 + n3) % VFS_PAGE_SIZE + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ # getpage((n0 + n3) / VFS_PAGE_SIZE, content), n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ # buf1 ⊦ m2 = n0 + n3, n1 = n0 + n3, n4 = 0, afs-cons(dirs, files) ∧ # buf2 = # buf1 ∧ m ∈ files ∧ m3 = m2 ∧ n0 + n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ n1 ∧ n0 + n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3) ≤ m2 ∧ n1 ≤ # buf2 + n0 ∧ read-inv (n0, n1, buf2, copy(getpage((n0 + n3) / VFS_PAGE_SIZE, content), (n0 + n3) % VFS_PAGE_SIZE, buf1, n3, min(n1 - n0 + n3, n4, m2 - n0 + n3)), n3 + min(n1 - n0 + n3, n4, m2 - n0 + n3), content)

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content = content; (s)% ⊦ mkfile(m, md, m0, content).size = m; (s)%n0 ≤ n ⊦ n - n0 ≤ m ↔ n ≤ m + n0; (s)% ⊦ m + m0 < n → ¬ n + n0 < m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m +1 = m + 1; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%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%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%transitivity: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification oelem[nat-set]%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, m0, content) → # getpage(n, content) = VFS_PAGE_SIZE; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)