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Proof step 11 from proof rem-stays-reachable-aux2 (previous step)

H[r0].nxt ∈ H, H[r0].nxt = H[x.last].nxt, r0 ∈ H, r0 ∈ x, path(r ' + x, H), reachable(r, r0, H), H[r0].nxt ∈ H, x.last ∈ H ⊦ H[r0].nxt = null, reachable(r0, x.last, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
H[r0].nxt = H[x.last].nxt, r0 ∈ H, r0 ∈ x, path(r ' + x, H), reachable(r, r0, H), H[r0].nxt ∈ H, x.last ∈ H ⊦ H[r0].nxt = null, reachable(r0, x.last, H)

Proof step 11 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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