| ¬ (ap(ks(n)) ∧ ap(ks(n) .1) ∧ ks(n) .1 .1 = K ∧ value(ks(n) .1 .2) ∧ value(ks(n) .2)), ap(ks(n)) ∧ ap(ks(n) .1) ∧ ap(ks(n) .1 .1) ∧ ks(n) .1 .1 .1 = S ⊦ 〈let v1 = ks(n) .1 .1 .2, v2 = ks(n) .1 .2, v3 = ks(n) .2 in if value(v1) ∧ value(v2) ∧ value(v3) then tn0 := some(v1 _ v3 _ (v2 _ v3)) else tn0 := none〉 (tn0 ≠ none → n = 2 ∧ tn0 = some(K)) |
¬ (ap(ks(n)) ∧ ap(ks(n) .1) ∧ ks(n) .1 .1 = K ∧ value(ks(n) .1 .2) ∧ value(ks(n) .2)), ap(ks(n)) ∧ ap(ks(n) .1) ∧ ap(ks(n) .1 .1) ∧ ks(n) .1 .1 .1 = S, v = ks(n) .2, v0 = ks(n) .1 .2, v4 = ks(n) .1 .1 .2 ⊦ 〈if value(v4) ∧ value(v0) ∧ value(v) then tn0 := some(v4 _ v _ (v0 _ v)) else tn0 := none〉 (tn0 ≠ none → n = 2 ∧ tn0 = some(K))
[[CONCRETESIMPRULES : ()]]