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Proof step 6 from proof startnotinH-notreachable (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 7:
path(r ' + x, H), (r ' + x).last ∈ H ⊦ x = [], r ∈ H

Rule argument

fma: x = []

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] Used formulas: x = []