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Proof step 1 from proof acyclic-rem-not-reachable (conclusion)

∀ r. r ∈ H → ¬ reachable(H[r].nxt, r, H), reachable(r, r0, H), H[r0].nxt ≠ null, H[r0].nxt ∈ H, ce.nxt = H[H[r0].nxt].nxt ⊦ ¬ reachable(r, H[r0].nxt, H[r0, ce])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
ce.nxt = H[H[r0].nxt].nxt, reachable(r, H[r0].nxt, H[r0, ce]), reachable(r, r0, H), H[r0].nxt ∈ H, H[r0].nxt ∈ H[r0, ce], r0 ∈ H, ∀ r1. ¬ reachable(H[r1].nxt, r1, H) ⊦ H[r0].nxt = null

Rule argument

Additional information

Used simplifier rules: reachable-notnullinH: ⊦ reachable(r, r1, H) → (¬ r1 ∈ H ↔ false);%reach-alloc: ⊦ reachable(r, r1, H) → r1 ∈ H;