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Proof step 176 from proof rem-stays-reachable-aux2 (previous step)

x0 ≠ [], H[x0.last].nxt = H[r1].nxt, x0.last ∈ H, H[r1].nxt ∈ H, path(H[H[r1].nxt].nxt ' + x3 + r1 ', H), path(r1 ' + x0, H), r1 ∈ H ⊦ x0.last = null, H[r1].nxt = r1, r1 = x0.last, r1 = H[H[r1].nxt].nxt, H[r1].nxt = H[H[r1].nxt].nxt, x0.last = H[H[r1].nxt].nxt, H[r1].nxt = null, dups(x3), r1 ∈ x3, H[r1].nxt ∈ x3, x0.last ∈ x3, dups(x0), r1 ∈ x0, H[H[r1].nxt].nxt ∈ x3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 177:
H[x0.last].nxt = H[r1].nxt, x0.last ∈ H, H[r1].nxt ∈ H, path(H[H[r1].nxt].nxt ' + x3 + r1 ', H), path(r1 ' + x0, H), r1 ∈ H ⊦ x0.last = null, H[r1].nxt = r1, r1 = x0.last, r1 = H[H[r1].nxt].nxt, H[r1].nxt = H[H[r1].nxt].nxt, x0.last = H[H[r1].nxt].nxt, H[r1].nxt = null, x0 = [], dups(x3), r1 ∈ x3, H[r1].nxt ∈ x3, x0.last ∈ x3, dups(x0), r1 ∈ x0, H[H[r1].nxt].nxt ∈ x3

Proof step 176 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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