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Proof step 8 from proof add-preserves-reachable-rev (previous step)

H[r1].nxt = H[ce.nxt].nxt, (H[r1, ce][r].nxt ' + x0).last ∈ H[r1, ce], r1 ∈ H, path(H[r1, ce][r].nxt ' + x0, H[r1, ce]), r ∈ H[r1, ce], reachable(r, r1, H), ce.nxt ∈ H, H[r1].nxt = H[ce.nxt].nxt ∧ ce.nxt ∈ H ∧ reachable(H[r1, ce][r].nxt, r1, H) ∧ path(H[r1, ce][r].nxt ' + x0, H[r1, ce]) ∧ (H[r1, ce][r].nxt ' + x0).last ∈ H[r1, ce] → ce.nxt = null ∨ (H[r1, ce][r].nxt ' + x0).last = ce.nxt ∨ reachable(H[r1, ce][r].nxt, ce.nxt, H) ∨ reachable(H[r1, ce][r].nxt, (H[r1, ce][r].nxt ' + x0).last, H) ⊦ r = null, (H[r1, ce][r].nxt ' + x0).last = ce.nxt, ce.nxt = null, reachable(r, (H[r1, ce][r].nxt ' + x0).last, H), reachable(r, ce.nxt, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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