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Proof step 5 from proof null-not-reachable (previous step)

(r ' + x).last = null, path(r ' + x, H), null ∈ H ⊦

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 6:
(r ' + x).last = null, path(r ' + x, H), null ∈ H ⊦ x = []

Rule argument

fma: x = []

Additional information

Used simplifier rules: path-one: ⊦ path(r ', H) ↔ ¬ ¬(r ∈ H ∧ r ≠ null);%app: ⊦ x0 + [] = x0; from specification list[reflist]%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]%l: ⊦ r '.last = r; from specification list-last[reflist] Used formulas: x = []