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Proof step 16 from proof refine-fsync (previous step)

err1 = ESUCCESS, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced, ⌊err1⌋ ∨ err1 = ESUCCESS ∧ ispath(path, ROOT_INO, ino1, dirs, files) ∧ px-parent(user, path, ROOT_INO, dirs, files) ∨ err1 = ENOENT ∧ ¬ ispath(path, ROOT_INO, dirs, files) ∨ err1 = EACCESS ∧ path ≠ ε ∧ p' ⊑ parent(path) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ [let isdir = false in vfs_may_open#(ino1, isdir, MODE_R, user, dirs, files, asynced; inode, err1); if err1 = ESUCCESS then afs_fsync#(inode, isdir, dirs, files; ; asynced, err1); if err1 = ESUCCESS then afs_sync#(dirs, files; ; asynced, err1)] ⟨posix_fsync#(path, isdir, user, root, abs-files(files), abs-of(of); ; psynced, err0)⟩ ((psynced → asynced) ∧ err1 = err0)

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

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