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Proof step 67 from proof inv-truncate (previous step)

isdir ↔ isdir0, asynced ↔ bv, files[ino2] = mkfile(m0, md0, # links(ino2, dirs), content0), buf-opt = none, err = ESUCCESS, ino = 0, ino0 = 0, inode = mkinode(ino2, md0, false, # links(ino2, dirs), 0, m0), pageno = m0 / VFS_PAGE_SIZE, afs-cons(dirs, files), ispath(p, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files), pw(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino2 ∈ files ⊦ [afs_truncate_internal#(n, pageno; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)] (afs-cons(dirs, files) → of-cons(of, dirs, files)), VFS_PAGE_SIZE = 0, ino2 ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 68:
# links(ino2, dirs) = files[ino2].nlink, files[ino2] = mkfile(m0, md0, files[ino2].nlink, content0), buf-opt = none, err = ESUCCESS, ino = 0, ino0 = 0, inode = mkinode(ino2, md0, false, files[ino2].nlink, 0, m0), afs-cons(dirs, files), ispath(p, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino2 ∈ files, ¬ ino2 ∈ dirs ⊦ [afs_truncate_internal#(n, m0 / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)] (afs-cons(dirs, files) → of-cons(of, dirs, files))

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)