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Proof step 122 from proof refine-truncate (previous step)

VFS_PAGE_SIZE = n0 + m0 % VFS_PAGE_SIZE, files1[ino2] = mkfile(m0, md0, # links(ino2, dirs), content0), files = files0, files0 = files1 [ino2, mkfile(m0, md0, # links(ino2, dirs), content0[m0 / VFS_PAGE_SIZE, fill(content0[m0 / VFS_PAGE_SIZE], zero, m0 % VFS_PAGE_SIZE, n0)] upto m0) ], ino = inode.ino, inode = mkinode(ino2, md0, false, # links(ino2, dirs), 0, n), inode0 = mkinode(ino2, md0, false, # links(ino2, dirs), 0, m0), root.dir?, dom of < ino3, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files1), fids-cons(root, abs-files(files1), abs-of(of)), ispath(path, ROOT_INO, ino2, dirs, files1), of-cons(of, dirs, files1), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files1), ROOT_INO ∈ dirs, ino2 ∈ files1, m0 / VFS_PAGE_SIZE ∈ content0, m0 ≤ n, psynced → asynced0 ⊦ [if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; inode0 := (inode0.ino ∈ dirs ⊃ mkinode(inode0.ino, dirs[inode0.ino].meta, true, dirs[inode0.ino].nlink, dirs[inode0.ino].nsubdirs, dirs[inode0.ino].size) ;mkinode(inode0.ino, files[inode0.ino].meta, false, files[inode0.ino].nlink, 0, files[inode0.ino].size) ); err := ESUCCESS; asynced := ?] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨fs := abs-files(files1); posix_truncate#(path, n, user, root, abs-of(of); err1, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1)), m0 % VFS_PAGE_SIZE = 0, root[path].dir?, ino2 ∈ dirs

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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