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Proof step 1 from proof inv-put-inode (conclusion)

afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(inode.ino, of) → pre-evict(inode, dirs, files) ⊦ ⟪vfs_put_inode#(inode, of, asynced; err, dirs, files)⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
afs-cons(dirs, files), of-cons(of, dirs, files), ¬ is-open(inode.ino, of) → ( inode.ino ∈ dirs ∧ inode.nlink = dirs[inode.ino].nlink ∧ inode.size = dirs[inode.ino].size ∧ inode.nsubdirs = dirs[inode.ino].nsubdirs ∧ inode.directory ∨ inode.ino ∈ files ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory) ∧ inode.ino ≠ ROOT_INO ⊦ ⟪vfs_put_inode#(inode, of, asynced; err, dirs, files)⟫ (afs-cons(dirs, files) ∧ of-cons(of, dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (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)% ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)%⊦ valid-dir-inode(inode, dirs, files) ↔ valid-dir-ino(inode.ino, dirs, files) ∧ inode.nlink = dirs[inode.ino].nlink ∧ inode.size = dirs[inode.ino].size ∧ inode.nsubdirs = dirs[inode.ino].nsubdirs ∧ inode.directory; (s)%⊦ valid-wb-inode(inode, dirs, files) ↔ valid-dir-inode(inode, dirs, files) ∨ valid-file-inode(inode, dirs, files); (s)%⊦ pre-evict(inode, dirs, files) ↔ valid-wb-inode(inode, dirs, files) ∧ inode.ino ≠ ROOT_INO; (s)