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Proof step 15 from proof reach-reachnext (previous step)

H[(r ' + x).last].nxt = null ∨ ¬ H[(r ' + x).last].nxt ∈ H, path(r ' + x, H), (r ' + x).last ∈ H ⊦ ¬(∃ x0. path(r ' + x0, H) ∧ (r ' + x0).last = H[(r ' + x).last].nxt)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
(r ' + x0).last = H[(r ' + x).last].nxt, path(r ' + x0, H), path(r ' + x, H), (r ' + x).last ∈ H, (r ' + x0).last = null ∨ ¬ (r ' + x0).last ∈ H ⊦

Proof step 15 from proof reach-reachnext (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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