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Proof step 3 from proof rem-stays-reachable-aux1 (previous step)

reachable(H[H[r0].nxt].nxt, H[r0].nxt, H) ∧ ¬ reachable(H[H[r0].nxt].nxt, r0, H), r0 ∈ H, H[r0].nxt ∈ H ⊦ ∃ x. path(H[r0].nxt ' + x + H[r0].nxt ', H) ∧ ¬ r0 ∈ x, H[r0].nxt = H[H[r0].nxt].nxt, H[r0].nxt = null

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
reachable(H[H[r0].nxt].nxt, H[r0].nxt, H), r0 ∈ H, H[r0].nxt ∈ H ⊦ H[r0].nxt = H[H[r0].nxt].nxt, H[r0].nxt = null, reachable(H[H[r0].nxt].nxt, r0, H), ∃ x. path(H[r0].nxt ' + x + H[r0].nxt ', H) ∧ ¬ r0 ∈ x

Rule argument

Additional information

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