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Proof step 68 from proof acyclic-rem-not-reachable (previous step)

H[H[ce.nxt].nxt].nxt = ce.nxt, path(r ' + x1 + H[ce.nxt].nxt ', H), ce.nxt ∈ H, H[ce.nxt].nxt ∈ H ⊦ ce.nxt = null, ce.nxt = H[ce.nxt].nxt, ce.nxt = r, H[ce.nxt].nxt = null, r = H[ce.nxt].nxt, dups(x1), reachable(H[ce.nxt].nxt, ce.nxt, H), ce.nxt ∈ x1, r ∈ x1, H[ce.nxt].nxt ∈ x1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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