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Proof step 10 from proof truncate-term (previous step)

asynced0 ↔ bv, files[m] = mkfile(m0, md0, # links(m, dirs), content), inode = mkinode(m, md, false, # links(m, dirs), 0, m2), old_ino = 0, old_ino0 = 0, pageno = m2 / VFS_PAGE_SIZE, afs-cons(dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files), m ∈ files, buf-opt = none ∨ # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪afs_truncate_internal#(n, pageno; inode, buf-opt, old_ino0, old_ino, asynced0, err, dirs, files; asynced)⟫ true, VFS_PAGE_SIZE = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
# links(m, dirs) = files[m].nlink, files[m] = mkfile(m0, md0, files[m].nlink, content), inode = mkinode(m, md, false, files[m].nlink, 0, m2), old_ino = 0, old_ino0 = 0, afs-cons(dirs, files), m ∈ files, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE, buf-opt = none ∨ # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪afs_truncate_internal#(n, m2 / VFS_PAGE_SIZE; inode, buf-opt, old_ino0, old_ino, asynced0, err, dirs, files; asynced)⟫ true

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% ⊦ 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)