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Proof step 95 from proof refine-link (previous step)

root[q].dir? ↔ ino1 ∈ dirs, dent = negdentry(str), err = ESUCCESS, err1 = ESUCCESS, err2 = err1, ino = ino1, inode = getinode(ino, dirs, files), root.dir?, inode.directory, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px(user, inode.meta), px-parent(user, q, ROOT_INO, dirs, files), psynced → asynced ⊦ [afs_lookup#(ino, dirs, files, asynced; dent, err); if err = ESUCCESS then afs_iget#(dent.ino, dirs, files, asynced; inode, err); if err = ESUCCESS ∧ inode.directory then err := EISDIR; c_inode := inode; old_dent := dent; err1 := err; if err1 = ESUCCESS then let ino = ROOT_INO, dent = negdentry(path'.last), path = parent(path') in {vfs_walk#(path, user, dirs, files, asynced; ino, err1); if err1 = ESUCCESS then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err1); new_inode := inode, new_dent := dent}; if err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); fs := abs-files(files); if err1 = ESUCCESS then afs_link#(old_dent; new_inode, c_inode, new_dent, err1, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_link#(q + str ', path', user, fs, abs-of(of); err0, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)), path' = ε

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 96:
dent = negdentry(str), err = ESUCCESS, path' ≠ ε, root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px(user, dirs[ino1].meta), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [afs_lookup#(ino1, dirs, files, asynced; dent, err); inode := (ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); if err = ESUCCESS then afs_iget#(dent.ino, dirs, files, asynced; inode, err); if err = ESUCCESS ∧ inode.directory then err := EISDIR; c_inode := inode; old_dent := dent; err1 := err; if err1 = ESUCCESS then let ino = ROOT_INO, dent = negdentry(path'.last), path = parent(path') in {vfs_walk#(path, user, dirs, files, asynced; ino, err1); if err1 = ESUCCESS then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err1); new_inode := inode, new_dent := dent}; if err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); fs := abs-files(files); if err1 = ESUCCESS then afs_link#(old_dent; new_inode, c_inode, new_dent, err1, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_link#(q + str ', path', user, fs, abs-of(of); err0, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0))

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)%⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)