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Proof step 3 from proof INVR-nextlevel (previous step)

dest ∈ succ(c), reach(source, c, m + n), b ∈ N, reach(b, dest, m), reachS(source, N, n + 1), ∀ a. ¬ a ∈ N ∨ ¬ reach(a, dest, m) ∨ reach<(a, dest, m) ⊦ succ(c) = ∅, # N = 0, N = ∅, # succ(c) = 0, reach<(source, dest, (m + 1) + n), reach<(b, dest, m), ∃ b0. ¬ (b0 ∈ V ↔ reach<(source, b0, n + 1) ∨ (∃ a. b0 ∈ succ(a) ∧ reach(source, a, n) ∧ ¬ reach<(source, a, n))), ∃ b0. ¬ ((∃ c. reach(source, c, n) ∧ b0 ∈ succ(c)) ∧ ¬ reach<(source, b0, n + 1) → b0 ∈ N)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 6, [QUANTTERMLIST : (b)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (b)]]