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Proof step 10 from proof inv-readdir (previous step)

asynced0 ↔ asynced, dirs0 = dirs, files0 = files, ino = ROOT_INO, p0 = p, user0 = user, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ ∀ ino, err. ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p0, ROOT_INO, ino, dirs0, files0) ∧ px-parent(user0, p0, ROOT_INO, dirs0, files0) ∨ err = ENOENT ∧ ¬ ispath(p0, ROOT_INO, dirs0, files0) ∨ err = EACCESS ∧ p0 ≠ ε ∧ (∃ p'. p' ⊑ parent(p0) ∧ ispath(p', ROOT_INO, dirs0, files0) ∧ ¬ px(user0, p', ROOT_INO, dirs0, files0)) → ⟪if err = ESUCCESS then {mode := MODE_R; isdir := true; choose inode with true in {vfs_may_open#(ino, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)}}⟫ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p0, ROOT_INO, ino0, dirs, files) ∧ px-parent(user, p0, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p0, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p0 ≠ ε ∧ p' ⊑ parent(p0) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪if err = ESUCCESS then {mode := MODE_R; isdir := true; choose inode with true in {vfs_may_open#(ino0, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)}}⟫ true

Proof step 10 from proof inv-readdir (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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