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Proof step 71 from proof reachable-addnew-rev (previous step)

¬ H[r0].nxt ∈ H ∧ ¬ H[r0].nxt ∈ x1 ∧ ce.nxt ∈ H, path(ce.nxt ' + x1, H), r0 ∈ H, path(r ' + x + r0 ', H), (ce.nxt ' + x1).last ∈ H, r ∈ H, path(r ' + x + r0 ' + H[r0].nxt ' + ce.nxt ' + x1, H[H[r0].nxt, ce]) ⊦ r0 = ce.nxt, H[r0].nxt = ce.nxt, r = ce.nxt, r0 = null, r = r0, r0 = H[r0].nxt, H[r0].nxt = null, dups(x1), dups(x), reachable(r, (ce.nxt ' + x1).last, H), dups(x + x1), ce.nxt ∈ x1, ce.nxt ∈ x, r0 ∈ x1, r0 ∈ x, H[r0].nxt ∈ x1, H[r0].nxt ∈ x, r ∈ x1, r ∈ x, H[r0].nxt ∈ H, reachable(ce.nxt, (ce.nxt ' + x1).last, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
ce.nxt ∈ H, path(ce.nxt ' + x1, H), r0 ∈ H, path(r ' + x + r0 ', H), (ce.nxt ' + x1).last ∈ H, r ∈ H, path(r ' + x + r0 ' + H[r0].nxt ' + ce.nxt ' + x1, H[H[r0].nxt, ce]) ⊦ r0 = ce.nxt, H[r0].nxt = ce.nxt, r = ce.nxt, r0 = null, r = r0, r0 = H[r0].nxt, H[r0].nxt = null, dups(x1), dups(x), reachable(r, (ce.nxt ' + x1).last, H), dups(x + x1), ce.nxt ∈ x1, ce.nxt ∈ x, r0 ∈ x1, r0 ∈ x, H[r0].nxt ∈ x, r ∈ x1, r ∈ x, reachable(ce.nxt, (ce.nxt ' + x1).last, H), H[r0].nxt ∈ x1, H[r0].nxt ∈ H

Proof step 71 from proof reachable-addnew-rev (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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