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Proof step 14 from proof inv-unlink (previous step)

dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(q, ROOT_INO, ino1, dirs, files) ∧ px-parent(user, q, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(q, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p' ⊑ q ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪dent := negdentry((q + str ').last); if err = ESUCCESS then {isdir := false; vfs_may_delete_check#(ino1, user, dirs, files, asynced; inode, isdir, dent, p_inode, err)}; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {afs_unlink#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 15:
dent = negdentry((q + str ').last), dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(q, ROOT_INO, ino1, dirs, files) ∧ px-parent(user, q, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(q, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p' ⊑ q ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪if err = ESUCCESS then {isdir := false; vfs_may_delete_check#(ino1, user, dirs, files, asynced; inode, isdir, dent, p_inode, err)}; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {afs_unlink#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), q + str ' = ε

Rule argument

Additional information

Used simplifier rules: ⊦ p + p0 = ε ↔ p = ε ∧ p0 = ε; (as)% ⊦ str ' ≠ ε; (s)%a: ⊦ (p + p0) + p1 = p + p0 + p1; from specification list[path]