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Proof step 34 from proof acyclic-rem-not-reachable (previous step)

ce.nxt = H[H[r0].nxt].nxt, path(r ' + x1 + H[r0].nxt ', H[r0, ce]), reachable(r, r0, H), H[r0].nxt ∈ H, r0 ∈ H, H[r0].nxt ∈ H[r0, ce], ∀ r1. ¬ reachable(H[r1].nxt, r1, H), r0 = r ∨ r0 = H[r0].nxt ⊦ H[r0].nxt = null, r = H[r0].nxt, r0 = r, dups(x1), r0 ∈ x1, r ∈ x1, H[r0].nxt ∈ x1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
ce.nxt = H[ce.nxt].nxt, path(r ' + x1 + ce.nxt ', H[ce.nxt, ce]), reachable(r, ce.nxt, H), ce.nxt ∈ H, ∀ r1. ¬ reachable(H[r1].nxt, r1, H) ⊦ ce.nxt = null, r = ce.nxt, dups(x1), r ∈ x1, ce.nxt ∈ x1

Rule argument

Additional information

Used simplifier rules: reach-alloc: ⊦ reachable(r, r1, H) → r1 ∈ H;% ⊦ r ∈ H[r, ce]; (s)