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Proof step 59 from proof inv-truncate (previous step)

files[ino0] = mkfile(m, md, # links(ino0, dirs), content), buf-opt = none, err = ESUCCESS, inode = mkinode(ino0, md, false, # links(ino0, dirs), 0, m), afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files, ¬ ino0 ∈ dirs ⊦ ⟪afs_truncate#(n, m / VFS_PAGE_SIZE; buf-opt, inode, isdir0, err, dirs, files, bv)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

User applied rule insert program lemma

And obtained the following new goals

Proof step 60:
afs-cons(dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files) ⊦ ⟪afs_truncate#(n, pageno; buf-opt, inode, asynced, err, dirs, files, asynced0)⟫ afs-cons(dirs, files)
Proof step 61:
files[ino0] = mkfile(m, md, # links(ino0, dirs), content), buf-opt = none, err = ESUCCESS, inode = mkinode(ino0, md, false, # links(ino0, dirs), 0, m), n0 = n, pageno0 = m / VFS_PAGE_SIZE, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-truncate(inode, n, m / VFS_PAGE_SIZE, buf-opt, dirs, files), pw(user, md), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files ⊦ [afs_truncate#(n, m / VFS_PAGE_SIZE; buf-opt, inode, isdir0, err, dirs, files, bv)] (afs-cons(dirs, files) → of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), ino0 ∈ dirs

Rule argument

spec: afs-asm name: inv-truncate seq: afs-cons(dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files) ⊦ ⟪afs_truncate# (n, pageno ; buf-opt, inode, asynced, err, dirs, files, asynced0)⟫ afs-cons(dirs, files) subst: [pageno, n, asynced0, files, dirs, err, asynced, inode, buf-opt] → [m / VFS_PAGE_SIZE, n, bv, files, dirs, err, isdir0, inode, buf-opt] flags: <all paths>

Additional information

Used simplifier rules: ⊦ 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)%⊦ 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)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ ¬ none.some?; (s)% ⊦ mkfile(m, md, m0, content).nlink = m0; (s)