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Proof step 106 from proof refine-truncate (previous step)

files[ino2] = mkfile(m0, md0, # links(ino2, dirs), content0), buf-opt = none, content = files[inode.ino].content, err = ESUCCESS, fs = abs-files(files), ino = inode.ino, ino0 = min(n, inode.size), ino1 = inode.size % VFS_PAGE_SIZE, ino4 = 0, ino5 = 0, ino6 = ino4, ino7 = ino5, inode = mkinode(ino2, md0, false, # links(ino2, dirs), 0, m0), pageno = m0 / VFS_PAGE_SIZE, root.dir?, dom of < ino3, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), ino2 ∈ files, ROOT_INO ∈ dirs, inode.size ≤ n, psynced → asynced0, pageno ∈ content ∨ buf-opt.some? ⊦ [if buf-opt.some? then buf := buf-opt.buf else buf := files[ino].content[pageno]; buf := fill(buf, zero, ino1, VFS_PAGE_SIZE - ino1); content[pageno] := buf; buf-opt := some(buf); files[ino].content := content upto ino0; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS; asynced := ?] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨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)), VFS_PAGE_SIZE = 0, ino1 = 0, root[path].dir?, ino2 ∈ dirs

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 107:
files[ino2] = mkfile(m0, md0, # links(ino2, dirs), content0), buf-opt = none, content = files[inode.ino].content, err = ESUCCESS, fs = abs-files(files), ino = inode.ino, ino0 = min(n, inode.size), ino1 = inode.size % VFS_PAGE_SIZE, ino4 = 0, ino5 = 0, ino6 = ino4, ino7 = ino5, inode = mkinode(ino2, md0, false, # links(ino2, dirs), 0, m0), pageno = m0 / VFS_PAGE_SIZE, root.dir?, dom of < ino3, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), ROOT_INO ∈ dirs, ino2 ∈ files, inode.size ≤ n, psynced → asynced0, pageno ∈ content ∨ buf-opt.some? ⊦ [buf := files[ino].content[pageno]; buf := fill(buf, zero, ino1, VFS_PAGE_SIZE - ino1); content[pageno] := buf; buf-opt := some(buf); files[ino].content := content upto ino0; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS; asynced := ?] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨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)), VFS_PAGE_SIZE = 0, ino1 = 0, root[path].dir?, ino2 ∈ dirs

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ¬ none.some?; (s)