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Proof step 4 from proof reachable-split-first (previous step)

r0 ∈ H, ∃ x. path(r ' + x, H) ∧ (r ' + x).last = r0, r ∈ H ⊦ r = r0, H[r].nxt = null, r = null, H[r].nxt ∈ H

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information