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Proof step 5 from proof INV-nextlevel (previous step)

reach(source, c, m), m < n, reachS(source, N, n + 1), reach(source, c, n), b ∈ succ(c) ⊦ # succ(c) = 0, succ(c) = ∅, b ∈ V, ∃ b1. ¬ (b1 ∈ V ↔ reach<(source, b1, n + 1) ∨ (∃ a. b1 ∈ succ(a) ∧ reach(source, a, n) ∧ ¬ reach<(source, a, n))), ∃ b1. ¬ ((∃ c. reach(source, c, n) ∧ b1 ∈ succ(c)) ∧ ¬ reach<(source, b1, n + 1) → b1 ∈ N), ∃ a. b ∈ succ(a) ∧ reach(source, a, n) ∧ ¬ reach<(source, a, n), ∃ c. reach(source, c, m) ∧ b ∈ succ(c)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 7, [QUANTTERMLIST : (c)]]

Additional information

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