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Proof step 408 from proof inv-write (previous step)

VFS_PAGE_SIZE = n1 + (m0 + ino0) % VFS_PAGE_SIZE, files[m] = mkfile(m2, md0, m3, content), of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, # links(m, dirs), content0), err = err0, err = ESUCCESS, err1 = ESUCCESS, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, (m0 + ino0) / VFS_PAGE_SIZE ∈ content, ino0 + min(m0 + n0 - m0 + ino0, n1) ≤ # buf0, (m0 + ino0) % VFS_PAGE_SIZE + min(m0 + n0 - m0 + ino0, n1) ≤ # content[(m0 + ino0) / VFS_PAGE_SIZE], ino0 ≤ # buf0, n0 ≤ # buf0, ino0 ≤ n0, m0 + n0 ≥ m0 + ino0, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [afs_writepage# (mkinode(m, md, false, # links(m, dirs), 0, m1), (m0 + ino0) / VFS_PAGE_SIZE, copy(buf0, ino0, content[(m0 + ino0) / VFS_PAGE_SIZE], (m0 + ino0) % VFS_PAGE_SIZE, min(m0 + n0 - m0 + ino0, n1)), dirs ; err, files ; asynced); if err = ESUCCESS then ino3 := ino0 + min(m0 + n0 - m0 + ino0, n1)] (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), VFS_PAGE_SIZE = 0, min(n0 - ino0, n1) = 0, n0 = 0, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 409:
VFS_PAGE_SIZE = n1 + (m0 + ino0) % VFS_PAGE_SIZE, files0[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m2, md0, m3, content), err = ESUCCESS, min(n0 - ino0, n1) ≠ 0, n0 ≠ 0, dom of < ino3, afs-cons(dirs, files0), afs-cons(dirs, files), of-cons(of, dirs, files0), of-cons(of, dirs, files), (m0 + ino0) / VFS_PAGE_SIZE ∈ content, fd ∈ of, m ∈ files0, ino0 ≤ n0, n0 ≤ # buf0, ino0 ≤ # buf0, (m0 + ino0) % VFS_PAGE_SIZE + min(n0 - ino0, n1) ≤ # content[(m0 + ino0) / VFS_PAGE_SIZE], ino0 + min(n0 - ino0, n1) ≤ # buf0 ⊦ [afs_writepage# (mkinode(m, md, false, # links(m, dirs), 0, m1), (m0 + ino0) / VFS_PAGE_SIZE, copy(buf0, ino0, content[(m0 + ino0) / VFS_PAGE_SIZE], (m0 + ino0) % VFS_PAGE_SIZE, min(m0 + n0 - m0 + ino0, n1)), dirs ; err, files ; asynced); if err = ESUCCESS then ino3 := ino0 + min(m0 + n0 - m0 + ino0, n1)] (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), mode ≠ MODE_W ∧ mode ≠ MODE_RW, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ m + n - n + n1 = m - n1; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)