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Proof step 44 from proof refine-close (previous step)

dirs[ino].nlink = 0, files[m] = mkfile(m1, md, m2, content), of0[fd] = mkfile(m, mode, m0), err = ESUCCESS, fs = abs-files(files), ino = inode.ino, inode = mkinode(m, md, false, m2, 0, m1), root.dir?, dom of0 < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of0)), of-cons(of0, dirs, files), pre-evict(inode, dirs, files), fd ∈ of0, ino ∈ dirs, psynced → asynced ⊦ [dirs := dirs -- ino] ( of-cons(of0 -- fd, dirs, files) ∧ afs-cons(dirs, files) → ⟨ofh := abs-of(of0); posix_close#(fd, user, root; err0, fs, ofh)⟩ (ofh = abs-of(of0 -- fd) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ESUCCESS = err0)), is-open(m, of0 -- fd)

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)