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Proof step 42 from proof reachable-addnew-rev (previous step)

(r ' + x1).last ≠ r2, H[(r ' + x1).last].nxt = r2, path(r ' + x1 + r2 ' + x0, H[r2, ce]), r ∈ H, (r2 ' + x0).last ∈ H, path(r ' + x1, H) ⊦ r2 = null, r2 ∈ H, r ∈ x1, r ∈ x0, r2 ∈ x1, r2 ∈ x0, dups(x1 + x0), reachable(r, (r2 ' + x0).last, H), dups(x1), dups(x0), reachable(r, (r ' + x1).last, H) ∧ H[(r ' + x1).last].nxt = r2 ∧ reachable(ce.nxt, (H[(r ' + x1).last].nxt ' + x0).last, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
path(r ' + x1 + H[(r ' + x1).last].nxt ' + x0, H[H[(r ' + x1).last].nxt, ce]), r ∈ H, (H[(r ' + x1).last].nxt ' + x0).last ∈ H, path(r ' + x1, H) ⊦ H[(r ' + x1).last].nxt = null, (r ' + x1).last = H[(r ' + x1).last].nxt, H[(r ' + x1).last].nxt ∈ H, r ∈ x1, r ∈ x0, H[(r ' + x1).last].nxt ∈ x1, H[(r ' + x1).last].nxt ∈ x0, dups(x1 + x0), reachable(r, (H[(r ' + x1).last].nxt ' + x0).last, H), dups(x1), dups(x0), reachable(r, (r ' + x1).last, H) ∧ reachable(ce.nxt, (H[(r ' + x1).last].nxt ' + x0).last, H)

Proof step 42 from proof reachable-addnew-rev (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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