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Proof step 26 from proof prepost-wl-get-used-min (previous step)

¬ boolvar ↔ used-ecs(wlar, m0) = ∅, wlar[vtblpnum] = wl-entry(m1, stat0), wlar[m0] = wl-entry(m, stat), m0 < # wlar, boolvar → vtblpnum < m0 ∧ stat0 = used ∧ m1 = used-ecs(wlar, m0).min, stat = used → boolvar → vtblpnum < # wlar ⊦ stat = used ∧ (¬ boolvar ∨ m < m1), (boolvar → ¬ m0 < vtblpnum ∧ stat0 = used ∧ m1 = (stat = used ⊃ used-ecs(wlar, m0) ++ m;used-ecs(wlar, m0)).min) ∧ (¬ boolvar ↔ (stat = used ⊃ used-ecs(wlar, m0) ++ m;used-ecs(wlar, m0)) = ∅)

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 27:
¬ boolvar ↔ used-ecs(wlar, m0) = ∅, wlar[m0] = wl-entry(m, stat), wlar[vtblpnum] = wl-entry(m1, stat0), boolvar, m0 < # wlar, stat = used → boolvar → vtblpnum < # wlar, boolvar → vtblpnum < m0 ∧ stat0 = used ∧ m1 = used-ecs(wlar, m0).min ⊦ (boolvar → ¬ m0 < vtblpnum ∧ stat0 = used ∧ m1 = (stat = used ⊃ used-ecs(wlar, m0) ++ m;used-ecs(wlar, m0)).min) ∧ (¬ boolvar ↔ (stat = used ⊃ used-ecs(wlar, m0) ++ m;used-ecs(wlar, m0)) = ∅), stat = used ∧ (¬ boolvar ∨ m < m1)

Rule argument

fma: ¬ boolvar

Additional information

Used formulas: ¬ boolvar