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Proof step 61 from proof reachable-addnew-rev (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
path(r ' + x1, H), path(r ' + x1 + H[x1.last].nxt ' + x0, H[H[x1.last].nxt, ce]), r ∈ H, (H[x1.last].nxt ' + x0).last ∈ H ⊦ x1.last = H[x1.last].nxt, H[x1.last].nxt = null, x1 = [], dups(x1 + x0), dups(x1), dups(x0), reachable(r, (H[x1.last].nxt ' + x0).last, H), reachable(ce.nxt, (H[x1.last].nxt ' + x0).last, H), H[x1.last].nxt ∈ H, r ∈ x1, r ∈ x0, H[x1.last].nxt ∈ x1, H[x1.last].nxt ∈ x0

Proof step 61 from proof reachable-addnew-rev (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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