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Proof step 31 from proof kappa-TOPRED (previous step)

〈if value(v4) ∧ value(v0) ∧ value(v) then tn := some(v4 _ v _ (v0 _ v)) else tn := none〉 tn = tn0, tn0 ≠ none, n ≠ 0, ¬ (value(t4) ∧ value(t3) ∧ value(t1)), v = (S _ t4 _ t3 _ t1) .2, v0 = (S _ t4 _ t3 _ t1) .1 .2, v4 = (S _ t4 _ t3 _ t1) .1 .1 .2 ⊦

Heuristic conditional left split applied rule if left

And obtained the following new goals

Proof step 29:
〈tn := some(v4 _ v _ (v0 _ v))〉 tn = tn0, tn0 ≠ none, n ≠ 0, ¬ (value(t4) ∧ value(t3) ∧ value(t1)), v = (S _ t4 _ t3 _ t1) .2, v0 = (S _ t4 _ t3 _ t1) .1 .2, v4 = (S _ t4 _ t3 _ t1) .1 .1 .2, value(v4) ∧ value(v0) ∧ value(v) ⊦
Proof step 30:
〈tn := none〉 tn = tn0, tn0 ≠ none, n ≠ 0, ¬ (value(t4) ∧ value(t3) ∧ value(t1)), v = (S _ t4 _ t3 _ t1) .2, v0 = (S _ t4 _ t3 _ t1) .1 .2, v4 = (S _ t4 _ t3 _ t1) .1 .1 .2, ¬ (value(v4) ∧ value(v0) ∧ value(v)) ⊦

Rule argument

[fmapos-arg: pos: left 1]

Additional information

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