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Proof step 9 from proof rem-stays-reachable-aux1 (previous step)

x ≠ [], x.last = H[r0].nxt, path(H[H[r0].nxt].nxt ' + x, H), r0 ∈ H, H[r0].nxt ∈ H ⊦ H[r0].nxt = H[H[r0].nxt].nxt, H[r0].nxt = null, reachable(H[H[r0].nxt].nxt, r0, H), H[H[r0].nxt].nxt ∈ x, dups(x), ∃ x. path(H[r0].nxt ' + x + H[r0].nxt ', H) ∧ ¬ r0 ∈ x

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
x.last = H[r0].nxt, path(H[x.last].nxt ' + x, H), r0 ∈ H, x.last ∈ H ⊦ x.last = H[x.last].nxt, x.last = null, x = [], reachable(H[x.last].nxt, r0, H), H[x.last].nxt ∈ x, dups(x), ∃ x. path(H[r0].nxt ' + x + H[r0].nxt ', H) ∧ ¬ r0 ∈ x

Proof step 9 from proof rem-stays-reachable-aux1 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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