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Proof step 11 from proof modnotreachable-reachable-rev-weak (previous step)

r0 ∈ H, path(H[r].nxt ' + x0, H[r0, ce]), r ∈ H, r0 ∈ H ∧ path(H[r].nxt ' + x0, H[r0, ce]) → r0 = null ∨ reachable(H[r].nxt, (H[r].nxt ' + x0).last, H) ∨ reachable(H[r].nxt, r0, H) ⊦ r = null, r0 = null, r = r0, reachable(r, (H[r].nxt ' + x0).last, H), reachable(r, r0, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
r ∈ H, path(H[r].nxt ' + x0, H[r0, ce]), r0 ∈ H, reachable(H[r].nxt, (H[r].nxt ' + x0).last, H) ⊦ r = r0, r0 = null, r = null, reachable(r, r0, H), reachable(r, (H[r].nxt ' + x0).last, H), reachable(H[r].nxt, r0, H)

Rule argument

Additional information

Used simplifier rules: fromnext-reachable-rev: ⊦ reachable(H[r].nxt, r0, H) ∧ r ≠ r0 ∧ r ≠ null ∧ r ∈ H → (¬ reachable(r, r0, H) ↔ false);