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Proof step 215 from proof write-term (previous step)

files0[m] = mkfile(m2, md0, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md, # links(m, dirs), content), dirs0 = dirs, err = ESUCCESS, files = files1, inode = mkinode(m, md0, false, # links(m, dirs), 0, m0 + ino), m2 < m0 + ino, afs-cons(dirs, files0[m, mkfile(m2, md0, # links(m, dirs), content0 upto m2)]), afs-cons(dirs, files0), of-cons(of, dirs, files0), pre-write-inode(inode, dirs, files), m ∈ files1, fd ∈ of, m ∈ files0, n ≤ # buf0 ⊦ ⟪fail#(; ; err); asynced := ?; if err ≠ ESUCCESS then ino := (m0 ≤ m2 ⊃ m2 - m0;0), err := ESUCCESS; of[fd].pos := m0 + ino⟫ (dirs0 = dirs), ino = 0, n = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 216:
# links(m, dirs) = files1[m].nlink, files1[m] = mkfile(m1, md, files1[m].nlink, content), of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m2, md0, files1[m].nlink, content0), ino ≠ 0, n ≠ 0, m2 < m0 + ino, afs-cons(dirs, files0), afs-cons(dirs, files0[m, mkfile(m2, md0, files1[m].nlink, content0 upto m2)]), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, m ∈ files1, n ≤ # buf0 ⊦ ⟪fail#(; ; err); asynced := ?; if err ≠ ESUCCESS then ino := (m0 ≤ m2 ⊃ m2 - m0;0), err := ESUCCESS; of[fd].pos := m0 + ino⟫ true, m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)% ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ valid-dir-inode(inode, dirs, files) ↔ valid-dir-ino(inode.ino, dirs, files) ∧ inode.nlink = dirs[inode.ino].nlink ∧ inode.size = dirs[inode.ino].size ∧ inode.nsubdirs = dirs[inode.ino].nsubdirs ∧ inode.directory; (s)%⊦ valid-wb-inode(inode, dirs, files) ↔ valid-dir-inode(inode, dirs, files) ∨ valid-file-inode(inode, dirs, files); (s)%⊦ pre-write-inode(inode, dirs, files) ↔ valid-wb-inode(inode, dirs, files); (s)