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Proof step 75 from proof reachable-addnew-rev (previous step)

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

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 21 terms: x1

Additional information

Used terms: x1