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Proof step 248 from proof refine-link (previous step)

entries[str0] ∈ dirs ↔ root[q0 + str0 '].dir?, dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), files[entries0[str]] = mkfile(m, md, # links(entries0[str], dirs), content), dirs[ino2] = mkdir(# entries, md1, # links(ino2, dirs), m3, entries), err0 = EEXISTS, root[q0].dir?, root[q].dir?, root.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), ispath(q0, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md1), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, q0, ROOT_INO, dirs, files), str0 ∈ entries, ino2 ∈ dirs, str ∈ entries0, ino1 ∈ dirs, entries0[str] ∈ files, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino2, dirs) ≠ ∅ ∨ ino2 = ROOT_INO ⊦ ⟨if err0 = ESUCCESS then let fid = root[q + str '].fid in root[q0 + str0 '] := fnode(fid); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EEXISTS = err0), root[q + str '].dir?, entries0[str] ∈ dirs

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 249:
entries[str0] ∈ dirs ↔ root[q0 + str0 '].dir?, dirs[ino2] = mkdir(# entries, md1, # links(ino2, dirs), m3, entries), files[entries0[str]] = mkfile(m, md, # links(entries0[str], dirs), content), dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), err0 = EEXISTS, root.dir?, root[q].dir?, root[q0].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q0, ROOT_INO, ino2, dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md0), px(user, md1), px-parent(user, q0, ROOT_INO, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), entries0[str] ∈ files, ino1 ∈ dirs, str ∈ entries0, ino2 ∈ dirs, str0 ∈ entries, psynced → asynced, links(ino2, dirs) ≠ ∅ ∨ ino2 = ROOT_INO, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨skip; psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EEXISTS = err0), root[q + str '].dir?, entries0[str] ∈ dirs

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EEXISTS; (s)