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Proof step 9 from proof rem-reachable-rev-weak (previous step)

ce.nxt = H[H[r1].nxt].nxt, path(H[r1, ce][r].nxt ' + x0, H[r1, ce]), r1 ∈ H, H[r1].nxt ∈ H, r ∈ H[r1, ce], ce.nxt = H[H[r1].nxt].nxt ∧ path(H[r1, ce][r].nxt ' + x0, H[r1, ce]) ∧ r1 ∈ H ∧ H[r1].nxt ∈ H → (H[r1, ce][r].nxt ' + x0).last = H[r1].nxt ∨ H[r1].nxt = null ∨ r1 = null ∨ reachable(H[r1, ce][r].nxt, (H[r1, ce][r].nxt ' + x0).last, H) ⊦ (H[r1, ce][r].nxt ' + x0).last = H[r1].nxt, H[r1].nxt = null, r = null, r1 = null, reachable(r, (H[r1, ce][r].nxt ' + x0).last, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
ce.nxt = H[H[r1].nxt].nxt, path(H[r1, ce][r].nxt ' + x0, H[r1, ce]), reachable(H[r1, ce][r].nxt, (H[r1, ce][r].nxt ' + x0).last, H), r ∈ H[r1, ce], H[r1].nxt ∈ H, r1 ∈ H ⊦ (H[r1, ce][r].nxt ' + x0).last = H[r1].nxt, H[r1].nxt = null, r = null, r1 = null, reachable(r, (H[r1, ce][r].nxt ' + x0).last, H)

Proof step 9 from proof rem-reachable-rev-weak (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information