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Proof step 15 from proof irred-top-01 (previous step)

value(v3), value(v2), value(v1), ∀ t'. ¬ S _ v1 _ v2 => t' ⊦ value(S _ v1 _ v2), ∃ v. S _ v1 _ v2 _ v3 = K _ (v1 _ v3 _ (v2 _ v3)) _ v ∧ value(v1 _ v3 _ (v2 _ v3)) ∧ value(v), ∃ v, v0, v4. S _ v1 _ v2 _ v3 = S _ v _ v0 _ v4 ∧ v1 _ v3 _ (v2 _ v3) = v _ v4 _ (v0 _ v4) ∧ value(v) ∧ value(v0) ∧ value(v4)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 3, [QUANTTERMLIST : (v1, v2, v3)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (v1, v2, v3)]]