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Proof step 55 from proof reachable-addnew-rev (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 56:
(ce.nxt ' + x).last ∈ H, r ∈ H, path(ce.nxt ' + x, H[H[r].nxt, ce]) ⊦ H[r].nxt = ce.nxt, r = ce.nxt, r = null, r = H[r].nxt, H[r].nxt = null, reachable(r, (ce.nxt ' + x).last, H), dups(x), ce.nxt ∈ x, H[r].nxt ∈ x, r ∈ x, H[r].nxt ∈ H, path(ce.nxt ' + x, H)

Proof step 55 from proof reachable-addnew-rev (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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