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Proof step 6 from proof truncate-empty (previous step)

old_ino = 0, old_ino0 = 0, afs-cons(dirs, files), pre-truncate(mkinode(ino, md, false, m, n0, n), n, n / VFS_PAGE_SIZE, none, dirs, files) ⊦ [inode := mkinode(ino, md, false, m, n0, n); buf-opt := none; afs_truncate_internal#(n, inode.size / VFS_PAGE_SIZE; inode, buf-opt, old_ino0, old_ino, asynced0, err, dirs, files; asynced)] (err = ESUCCESS → files[ino].content.stream from n = σ⊥), VFS_PAGE_SIZE = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
old_ino = 0, old_ino0 = 0, afs-cons(dirs, files), ino ∈ files ⊦ [inode := mkinode(ino, md, false, files[ino].nlink, 0, n); buf-opt := none; afs_truncate_internal#(n, inode.size / VFS_PAGE_SIZE; inode, buf-opt, old_ino0, old_ino, asynced0, err, dirs, files; asynced)] (err = ESUCCESS → files[ino].content.stream from n = σ⊥)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ 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)