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Proof step 192 from proof refine-unlink (previous step)

dirs[entries[str]] = mkdir(0, md0, # links(entries[str], dirs), m2, ∅), dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[q + str '] = dnode(md1, ∅), fs = abs-files(files), 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), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries, ino1 ∈ dirs, entries[str] ∈ dirs, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ pre-unlink(q + str ', EISDIR, user, root, fs, abs-of(of)) ∧ ⟨err0 := EISDIR; if err0 = ESUCCESS then let fid = dnode(md1, ∅).fid in {root := root -- (q + str '); if ¬ fid ∈ abs-of(of).fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EISDIR = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 193:
dirs[entries[str]] = mkdir(0, md0, # links(entries[str], dirs), m2, ∅), dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[q + str '] = dnode(md1, ∅), fs = abs-files(files), 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), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries, ino1 ∈ dirs, entries[str] ∈ dirs, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨err0 := EISDIR; if err0 = ESUCCESS then let fid = dnode(md1, ∅).fid in {root := root -- (q + str '); if ¬ fid ∈ abs-of(of).fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EISDIR = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ dnode(md, sdt).dir?; (s)% ⊦ pre-unlink(p, EISDIR, user, root, fs, ofh) ↔ root[p].dir?; (s)