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Proof step 33 from proof rem-stays-reachable-aux1 (previous step)

path(H[H[r0].nxt].nxt ' + x0 + H[r0].nxt ', H), reachable(H[H[r0].nxt].nxt, r0, H), r0 ∈ H, H[r0].nxt ∈ H ⊦ H[r0].nxt = H[H[r0].nxt].nxt, H[r0].nxt = null, r0 = H[H[r0].nxt].nxt, r0 ∈ x0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
path(H[H[r0].nxt].nxt ' + x0 + H[r0].nxt ', H), reachable(H[H[r0].nxt].nxt, r0, H), H[r0].nxt ∈ H, r0 ∈ H ⊦ H[r0].nxt = null, H[r0].nxt = H[H[r0].nxt].nxt, r0 = H[H[r0].nxt].nxt, r0 ∈ x0

Rule argument

Additional information

Used simplifier rules: reach-alloc: ⊦ reachable(r, r1, H) → r1 ∈ H;