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Proof step 20 from proof removed-stays-reachable (previous step)

H[r0].nxt = H[r1].nxt, ce.nxt = H[H[r1].nxt].nxt, reachable(r, r1, H), path(r ' + x0 + H[r1].nxt ', H), r0 ∈ H, H[r1].nxt ∈ H, reachable(r, r0, H), path(r ' + x + H[r1].nxt ', H), r1 ∈ H ⊦ H[r1].nxt = null, H[r1].nxt = ce.nxt, r = H[r1].nxt, r0 ∈ x, r0 ∈ x0, reachable(r0, r1, H), reachable(ce.nxt, H[r1].nxt, H) ∧ ¬ reachable(ce.nxt, r0, H), ∃ r1. reachable(r, r1, H) ∧ H[r1].nxt = H[r0].nxt ∧ ¬ reachable(r0, r1, H), ∃ x. path(H[r1].nxt ' + x + H[r1].nxt ', H) ∧ ¬ r0 ∈ x

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 8 terms: r1

Additional information

Used terms: r1