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Proof step 57 from proof rem-stays-reachable-aux2 (previous step)

x1.last = (r0 ' + x0).last, r0 = H[r0].nxt, path(r ' + x1, H), path(r0 ' + x0, H), path(r ' + (x2 + (r0 ' + x0).last ') + r0 ', H), r0 ∈ H, (r0 ' + x0).last ∈ H ⊦ r = (r0 ' + x0).last, r0 = (r0 ' + x0).last, r0 = r, r0 = null, x1 = [], dups(x2), dups(x0), dups(x1), (r0 ' + x0).last ∈ x2, r0 ∈ x2, r0 ∈ x0, r ∈ x1, r ∈ x2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
x1.last = (r0 ' + x0).last, r0 = H[r0].nxt, path(r ' + (x2 + x1.last ') + r0 ', H), path(r0 ' + x0, H), path(r ' + x1, H), x1.last ∈ H, r0 ∈ H ⊦ r = x1.last, r0 = null, r0 = r, r0 = x1.last, x1 = [], dups(x1), dups(x0), dups(x2), r ∈ x2, r ∈ x1, r0 ∈ x0, r0 ∈ x2, x1.last ∈ x2

Proof step 57 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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