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Proof step 5 from proof reachable-n-trans (previous step)

H[r].nxt ∈ H, r ∈ H, reachable-n(H, n0, r0, r1), reachable-n(H, n1, H[r].nxt, r0), reachable-n(H, n1, H[r].nxt, r0) ∧ reachable-n(H, n0, r0, r1) → reachable-n(H, n1 + n0, H[r].nxt, r1) ⊦ r = null, H[r].nxt = null, ∃ r2. reachable-1(H, r, r2) ∧ reachable-n(H, n1 + n0, r2, r1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
H[r].nxt ∈ H, r ∈ H, reachable-n(H, n0, r0, r1), reachable-n(H, n1, H[r].nxt, r0), reachable-n(H, n1 + n0, H[r].nxt, r1) ⊦ r = null, H[r].nxt = null, ∃ r2. reachable-1(H, r, r2) ∧ reachable-n(H, n1 + n0, r2, r1)

Proof step 5 from proof reachable-n-trans (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information