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Proof step 22 from proof reachable-addnew-rev (previous step)

H[(r ' + x1).last].nxt = r1, path(r ' + x1, H), r ∈ H ⊦ (r ' + x1).last = r1, r1 = null, dups(x1), r ∈ x1, r1 ∈ H, r1 ∈ x1, reachable(r, (r ' + x1).last, H) ∧ H[(r ' + x1).last].nxt = r1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
path(r ' + x1, H), r ∈ H ⊦ (r ' + x1).last = H[(r ' + x1).last].nxt, H[(r ' + x1).last].nxt = null, dups(x1), reachable(r, (r ' + x1).last, H), H[(r ' + x1).last].nxt ∈ x1, H[(r ' + x1).last].nxt ∈ H, r ∈ x1

Proof step 22 from proof reachable-addnew-rev (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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