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Proof step 97 from proof refine-truncate (previous step)

isdir ↔ isdir0, files[ino1] = mkfile(m, md, # links(ino1, dirs), content), buf-opt = none, err = err0, err0 = ESUCCESS, fs = abs-files(files), ino = 0, ino0 = 0, inode = mkinode(ino1, md, false, # links(ino1, dirs), 0, m), pageno = m / 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, ino1, dirs, files), of-cons(of, dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files), pw(user, md), px-parent(user, path, ROOT_INO, dirs, files), ROOT_INO ∈ dirs, ino1 ∈ files, psynced → asynced0 ⊦ [afs_truncate_internal#(n, pageno; inode, buf-opt, ino0, ino, isdir, err, dirs, files; 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, root[path].dir?, ino1 ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 98:
# links(ino1, dirs) = files[ino1].nlink, files[ino1] = mkfile(m, md, files[ino1].nlink, content), buf-opt = none, err = ESUCCESS, fs = abs-files(files), ino = 0, ino0 = 0, inode = mkinode(ino1, md, false, files[ino1].nlink, 0, m), 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, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ files, ROOT_INO ∈ dirs, ¬ root[path].dir?, ¬ ino1 ∈ dirs, psynced → asynced0 ⊦ [afs_truncate_internal#(n, m / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files; 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))

Rule argument

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base% ⊦ ¬ none.some?; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ 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)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (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)%⊦ pre-truncate(inode, n, pageno, buf-opt, dirs, files) ↔ valid-file-inode(inode, dirs, files) ∧ pageno = inode.size / VFS_PAGE_SIZE ∧ (buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE); (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)