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Proof step 2 from proof rem-stays-reachable-aux2 (previous step)

∃ r1. reachable(r, r1, H) ∧ H[r0].nxt = H[r1].nxt ∧ ¬ reachable(r0, r1, H), reachable(r, r0, H), H[r0].nxt ≠ null, H[r0].nxt ∈ H ⊦ ∃ x. path(r ' + x + H[r0].nxt ', H) ∧ r0 ≠ r ∧ ¬ r0 ∈ x

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
H[r0].nxt = H[r1].nxt, reachable(r, r1, H), reachable(r, r0, H), H[r1].nxt ∈ H, r1 ∈ H, r0 ∈ H ⊦ H[r1].nxt = null, reachable(r0, r1, H), ∃ x. path(r ' + x + H[r1].nxt ', H) ∧ ¬ r0 ∈ x

Rule argument

Additional information

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