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Proof step 14 from proof reachable-addnew (previous step)

path(H[r].nxt ' + x0, H), r ∈ H, r ∈ H[r2, ce], ∀ r, H, r2, ce. path(r ' + x0, H) → x0 = [] ∨ path(r ' + x0, H[r2, ce]) ∨ r2 ∈ H ⊦ r = null, path(H[r].nxt ' + x0, H[r2, ce]), r2 ∈ H

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: H[r].nxt, H, r2, ce

Additional information

Used simplifier rules: path-one: ⊦ path(r ', H) ↔ r ∈ H ∧ r ≠ null;% ⊦ x0 + [] = x0; (s)%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]% ⊦ r ∈ H[r0, ce] ↔ r = r0 ∨ r ∈ H; (ws) Used terms: H[r].nxt, H, r2, ce