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Proof step 19 from proof frommodified (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 20:
x = [], path(ce.nxt ' + x, H[r, ce]), ce.nxt ∈ H, (ce.nxt ' + x).last ∈ H ⊦ ce.nxt = null, r = (ce.nxt ' + x).last, r = null, reachable(r, (ce.nxt ' + x).last, H[r, ce])
Proof step 24:
path(ce.nxt ' + x, H[r, ce]), ce.nxt ∈ H, (ce.nxt ' + x).last ∈ H ⊦ x = [], ce.nxt = null, r = (ce.nxt ' + x).last, r = null, reachable(r, (ce.nxt ' + x).last, H[r, ce])

Rule argument

fma: x = []

Additional information

Used formulas: x = []