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Proof step 237 from proof inv-write (previous step)

m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md0, # links(m, dirs), content0), dirs1 = dirs, err0 = ESUCCESS, m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, ino4 ≠ 0, n ≠ 0, n2 ≠ 0, dom of < ino3, m1 < m0 + ino4, afs-cons(dirs, files), afs-cons(dirs, files1), of-cons(of, dirs, files), of-cons(of, dirs, files1), m ∈ files1, m1 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, m1 % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE ⊦ [afs_write_inode#(mkinode(m, md0, false, # links(m, dirs), 0, m0 + ino4); err0, dirs, files; asynced); if err0 ≠ ESUCCESS then ino4 := (m0 ≤ m1 ⊃ m1 - m0;0), err0 := ESUCCESS; of[fd].pos := m0 + ino4] (dirs1 = dirs → of-cons(of, dirs, files) ∧ dom of < ino3 ∧ afs-cons(dirs, files)), err1 = ESUCCESS ∧ ¬ isdir, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 238:
m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, files1[m] = mkfile(m1, md0, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), dirs1 = dirs, err = err0, err0 = ESUCCESS, inode = mkinode(m, md0, false, # links(m, dirs), 0, m0 + ino4), m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, m1 < m0 + ino4, dom of < ino3, afs-cons(dirs, files1), afs-cons(dirs, files), of-cons(of, dirs, files1), of-cons(of, dirs, files), fd ∈ of, m1 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, n2 + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, m1 % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE ⊦ [if pre-write-inode(inode, dirs, files) then { {if inode.directory then dirs[inode.ino].meta := inode.meta else {files[inode.ino].meta := inode.meta; files[inode.ino].size := inode.size}; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort; if err ≠ ESUCCESS then ino4 := (m0 ≤ m1 ⊃ m1 - m0;0), err0 := ESUCCESS; of[fd].pos := m0 + ino4] (dirs1 = dirs → of-cons(of, dirs, files) ∧ dom of < ino3 ∧ afs-cons(dirs, files)), ino4 = 0, n = 0, n2 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, err1 = ESUCCESS ∧ ¬ isdir

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_write_inode#(INODE; ERR, DIRS, FILES; ASYNCED) {if pre-write-inode(INODE, DIRS, FILES) then { {if INODE.directory then DIRS[INODE.ino].meta := INODE.meta else {FILES[INODE.ino].meta := INODE.meta; FILES[INODE.ino].size := INODE.size}; ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ?} else abort };