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Proof step 10 from proof une-01 (previous step)

∀ a. ¬ a ∈ s1, ∀ a. ¬ a ∈ s2 ⊦ ¬ a ∈ s1 ∧ ¬ a ∈ s2

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 11:
a ∈ s2, ∀ a. ¬ a ∈ s1, ∀ a. ¬ a ∈ s2 ⊦ ¬ a ∈ s1 ∧ ¬ a ∈ s2
Proof step 13:
∀ a. ¬ a ∈ s1, ∀ a. ¬ a ∈ s2 ⊦ a ∈ s2, ¬ a ∈ s1 ∧ ¬ a ∈ s2

Rule argument

fma: a ∈ s2

Additional information

Used formulas: a ∈ s2