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Proof step 126 from proof rem-stays-reachable-aux2 (previous step)

x0.last = (r ' + x1).last, H[H[r0].nxt].nxt = r0, path(r ' + x1, H), path(r0 ' + x0, H), path(r ' + x1 + H[r0].nxt ', H), H[r0].nxt ∈ H, (r ' + x1).last ∈ H, r0 ∈ H ⊦ H[r0].nxt = r0, H[r0].nxt = null, r = H[r0].nxt, r0 = r, r0 = null, x0 = [], dups(x0), dups(x1), r0 ∈ x0, r ∈ x1, r0 ∈ x1, H[r0].nxt ∈ x1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 127:
x0.last = (r ' + x1).last, H[H[r0].nxt].nxt = r0, path(r ' + x1 + H[r0].nxt ', H), path(r0 ' + x0, H), path(r ' + x1, H), r0 ∈ H, x0.last ∈ H, H[r0].nxt ∈ H ⊦ H[r0].nxt = null, H[r0].nxt = r0, r = H[r0].nxt, r0 = null, r0 = r, x0 = [], dups(x1), dups(x0), H[r0].nxt ∈ x1, r0 ∈ x1, r ∈ x1, r0 ∈ x0

Proof step 126 from proof rem-stays-reachable-aux2 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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