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Proof step 7 from proof nodups-rmposnodups (previous step)

∀ n0. ¬ dups(x0 -p n0), a ∈ x0 -p n1 ∨ dups(x0 -p n1) ⊦ dups(x0), a ∈ x0

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 8:
dups(x0 -p n1), ∀ n0. ¬ dups(x0 -p n0), a ∈ x0 -p n1 ∨ dups(x0 -p n1) ⊦ dups(x0), a ∈ x0
Proof step 10:
∀ n0. ¬ dups(x0 -p n0), a ∈ x0 -p n1 ∨ dups(x0 -p n1) ⊦ dups(x0), dups(x0 -p n1), a ∈ x0

Rule argument

fma: dups(x0 -p n1)

Additional information

Used formulas: dups(x0 -p n1)