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Proof step 541 from proof inv-renam (previous step)

dirs[entries0[str]] = mkdir(m, md, # links(entries0[str], dirs), m2, entries), dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dirs[ino0] = mkdir(m4, md2, # links(ino0, dirs), m7, entries2), dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), ispath(q0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), pw(user, md), pw(user, md2), px(user, md2), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, q0, ROOT_INO, dirs, files), str ∈ entries0, ino0 ∈ dirs, ino1 ∈ dirs, entries0[str] ∈ dirs, str0 ∈ entries2, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, entries2[str0] ∈ dirs ∨ entries2[str0] ∈ files ⊦ entries0[str] = ROOT_INO, q + str ' ⊑ q0 + str0 ', ∃ err0. ⌊err0⌋

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 3 terms: ECOMMIT

Additional information

Used simplifier rules: ⊦ ⌊ECOMMIT⌋ ; (s) Used terms: ECOMMIT