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Proof step 6 from proof reachable-split-first (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

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

Rule argument

fma: x = []

Additional information

Used simplifier rules: ⊦ x0 + [] = x0; (s)%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]% ⊦ r '.last = r; (s) Used formulas: x = []