Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₁₆: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l4(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₈, X₈, X₁₀, X₁₀, X₀)
t₁₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀ ∧ X₉+1 ≤ X₅ ∧ 1 ≤ X₄ ∧ 0 ≤ X₉ ∧ X₅ ≤ X₀ ∧ X₉+1 ≤ X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₁₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₅, X₁₀, X₁₁) :|: X₉+1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 0 ≤ X₉ ∧ X₉+1 ≤ X₂ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₇ ≤ 1 ∧ 1 ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₁₃: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, 1+X₉, X₆, 1+X₇, X₈, X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀ ∧ X₇+1 ≤ X₄ ∧ X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₇ ≤ X₄ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₁₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₉, X₆, 1+X₇, X₈, X₉, X₁₀, X₁₁) :|: X₇+1 ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₇ ≤ X₄ ∧ 1 ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₁₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₁₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, 1+X₉, X₆, 1, X₈, X₉, X₁₀, X₁₁) :|: X₉+1 ≤ X₀ ∧ 1 ≤ X₄ ∧ X₉+1 ≤ X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₉, X₆, 1, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₄ ∧ X₉+1 ≤ X₂ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₄ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, 1+X₉, X₁₀, X₁₁) :|: X₉+1 ≤ X₂ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ 0 ∧ 0 ≤ X₇ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₇: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ X₉ ∧ 0 ≤ X₄ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
t₆: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, 1, X₆, 1, X₈, 0, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₂ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, 0, X₆, 1, X₈, 0, X₁₀, X₁₁) :|: 1 ≤ X₄ ∧ 1 ≤ X₂ ∧ X₁₁ ≤ 0 ∧ 0 ≤ X₁₁ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, 1, X₁₀, X₁₁) :|: 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₄+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 0, X₁₀, X₁₁) :|: 0 ≤ X₀ ∧ 0 ≤ X₄ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
Preprocessing
Cut unsatisfiable transition t₁₀: l3→l1
Cut unsatisfiable transition t₁₃: l2→l1
Found invariant X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l2
Found invariant X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location l5
Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 1+X₉ ≤ X₅ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁₁+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l1
Found invariant X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location l4
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₁₁+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁₁+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁₁+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₁₆: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l4(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₈, X₈, X₁₀, X₁₀, X₀)
t₁₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀ ∧ X₉+1 ≤ X₅ ∧ 1 ≤ X₄ ∧ 0 ≤ X₉ ∧ X₅ ≤ X₀ ∧ X₉+1 ≤ X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ 0 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 1+X₉ ≤ X₅ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁₁+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₅, X₁₀, X₁₁) :|: X₉+1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 0 ≤ X₉ ∧ X₉+1 ≤ X₂ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₇ ≤ 1 ∧ 1 ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ 0 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 1+X₉ ≤ X₅ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁₁+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₉, X₆, 1+X₇, X₈, X₉, X₁₀, X₁₁) :|: X₇+1 ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₇ ≤ X₄ ∧ 1 ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₉, X₆, 1, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₄ ∧ X₉+1 ≤ X₂ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₄ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₁₁+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁₁+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁₁+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, 1+X₉, X₁₀, X₁₁) :|: X₉+1 ≤ X₂ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ 0 ∧ 0 ≤ X₇ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₁₁+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁₁+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁₁+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₇: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ X₉ ∧ 0 ≤ X₄ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₁₁+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁₁+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁₁+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₆: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, 1, X₆, 1, X₈, 0, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₂ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, 0, X₆, 1, X₈, 0, X₁₀, X₁₁) :|: 1 ≤ X₄ ∧ 1 ≤ X₂ ∧ X₁₁ ≤ 0 ∧ 0 ≤ X₁₁ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, 1, X₁₀, X₁₁) :|: 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₄+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂+1 ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
t₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 0, X₁₀, X₁₁) :|: 0 ≤ X₀ ∧ 0 ≤ X₄ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₈ ∧ X₈ ≤ X₇ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁
MPRF for transition t₁₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀ ∧ X₉+1 ≤ X₅ ∧ 1 ≤ X₄ ∧ 0 ≤ X₉ ∧ X₅ ≤ X₀ ∧ X₉+1 ≤ X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ 0 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 1+X₉ ≤ X₅ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁₁+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₀+2 {O(n)}
Solv. Size Bound: t₁₂: l2→l2 for X₅
cycle: [t₁₂: l2→l2]
loop: (X₇+1 ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₇ ≤ X₄ ∧ 1 ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁,(X₅,X₉) -> (X₉,X₉)
overappr. closed-form: 2⋅X₉ {O(n)}
runtime bound: X₄+X₇+2 {O(n)}
Solv. Size Bound - Lifting for t₁₂: l2→l2 and X₅: inf {Infinity}
MPRF for transition t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, 1+X₉, X₁₀, X₁₁) :|: X₉+1 ≤ X₂ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ 0 ∧ 0 ≤ X₇ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₁₁+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁₁+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁₁+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₂+X₀+5 {O(n)}
MPRF for transition t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₉, X₆, 1, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₄ ∧ X₉+1 ≤ X₂ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₄ ∧ 0 ≤ X₀ ∧ 1 ≤ X₂ ∧ X₉ ≤ X₀+X₂ ∧ 1 ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₁₁+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁₁+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁₁+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₂+X₀+7 {O(n)}
MPRF for transition t₁₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₀+4⋅X₂+5 {O(n)}
MPRF for transition t₁₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, X₉, X₆, 1+X₇, X₈, X₉, X₁₀, X₁₁) :|: X₇+1 ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₇ ≤ X₄ ∧ 1 ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
24⋅X₀⋅X₄+24⋅X₂⋅X₄+36⋅X₄+2 {O(n^2)}
Analysing control-flow refined program
Found invariant X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ 1+X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ 1+X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l2
Found invariant X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 2 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 2 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 3 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location n_l2___1
Found invariant X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location l5
Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 1+X₉ ≤ X₅ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁₁+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l1
Found invariant X₉ ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location l4
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 1 ≤ X₁₁+X₉ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₁₁+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁₁+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁₁+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l3
Solv. Size Bound: t₁₂₈: n_l2___1→n_l2___1 for X₅
Solv. Size Bound: t₁₂₈: n_l2___1→n_l2___1 for X₇
Solv. Size Bound: t₁₂₈: n_l2___1→n_l2___1 for X₉
cycle: [t₁₂₈: n_l2___1→n_l2___1]
loop: (1+X₉ ≤ X₀+X₁ ∧ 1+X₉ ≤ X₀+X₁ ∧ 2 ≤ X₇ ∧ 1+X₇ ≤ X₃ ∧ 1+X₅ ≤ X₀+X₁,(X₅,X₉) -> (X₅,X₅)
overappr. closed-form: 2⋅X₅ {O(n)}
runtime bound: X₃+X₇+1 {O(n)}
Solv. Size Bound - Lifting for t₁₂₈: n_l2___1→n_l2___1 and X₉: inf {Infinity}
knowledge_propagation leads to new time bound 4⋅X₂+X₀+8 {O(n)} for transition t₁₂₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → n_l2___1(X₀, X₁, X₁, X₃, X₃, X₅, X₆, X₇+1, X₈, X₅, X₁₀, X₀) :|: 1+X₉ ≤ X₀+X₁ ∧ X₅ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₇ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₇ ≤ X₃ ∧ 1+X₅ ≤ X₀+X₁ ∧ 1 ≤ X₇ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₉ ∧ 1 ≤ X₇ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ 1+X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ 1+X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
knowledge_propagation leads to new time bound 4⋅X₂+X₀+8 {O(n)} for transition t₁₃₀: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → n_l2___1(X₀, X₁, X₁, X₃, X₃, X₅, X₆, X₇+1, X₈, X₅, X₁₀, X₀) :|: 1+X₉ ≤ X₀+X₁ ∧ X₇ ≤ 1 ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 1+X₇ ≤ X₃ ∧ 1+X₅ ≤ X₀+X₁ ∧ 1 ≤ X₇ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₇ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ 1+X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ 1+X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
knowledge_propagation leads to new time bound 1 {O(1)} for transition t₁₃₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → n_l2___1(X₀, X₁, X₁, X₃, X₃, X₅, X₆, X₇+1, X₈, X₅, X₁₀, X₀) :|: 1+X₉ ≤ X₀+X₁ ∧ X₉ ≤ 0 ∧ X₀ ≤ 0 ∧ X₇ ≤ 1 ∧ X₁₁ ≤ 0 ∧ X₅ ≤ 0 ∧ 1+X₇ ≤ X₃ ∧ 1+X₅ ≤ X₀+X₁ ∧ 1 ≤ X₇ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 0 ≤ X₀ ∧ 1 ≤ X₇ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ 1+X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₂ ∧ X₇ ≤ 1+X₁₁ ∧ X₇ ≤ X₁ ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
MPRF for transition t₁₂₈: n_l2___1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → n_l2___1(X₀, X₁, X₁, X₃, X₃, X₅, X₆, X₇+1, X₈, X₅, X₁₀, X₀) :|: 1+X₉ ≤ X₀+X₁ ∧ 1+X₉ ≤ X₀+X₁ ∧ 2 ≤ X₇ ∧ 1+X₇ ≤ X₃ ∧ 1+X₅ ≤ X₀+X₁ ∧ 1 ≤ X₇ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₉ ∧ X₉ ≤ X₅ ∧ X₀ ≤ X₁₁ ∧ X₁₁ ≤ X₀ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 2 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 2 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 3 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
32⋅X₂⋅X₄+8⋅X₀⋅X₄+24⋅X₂+6⋅X₀+65⋅X₄+51 {O(n^2)}
MPRF for transition t₁₃₄: n_l2___1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₀+X₂ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₄ ∧ X₄ ≤ X₇ ∧ X₉ ≤ X₅ ∧ X₅ ≤ X₉ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₁₁+X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₁₁+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₁₁+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 2 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₁₁+X₉ ∧ X₁₁ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ 2 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 4 ≤ X₄+X₇ ∧ 4 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₇ ∧ 2 ≤ X₁₁+X₇ ∧ 3 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 0 ≤ X₁₁+X₅ ∧ X₁₁ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁₁+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁₁+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁₁+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₀+4⋅X₂+5 {O(n)}
CFR did not improve the program. Rolling back
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:24⋅X₀⋅X₄+24⋅X₂⋅X₄+12⋅X₂+36⋅X₄+7⋅X₀+31 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 4⋅X₂+X₀+5 {O(n)}
t₉: 4⋅X₂+X₀+7 {O(n)}
t₁₁: 4⋅X₀+4⋅X₂+5 {O(n)}
t₁₂: 24⋅X₀⋅X₄+24⋅X₂⋅X₄+36⋅X₄+2 {O(n^2)}
t₁₄: 1 {O(1)}
t₁₅: X₀+2 {O(n)}
t₁₆: 1 {O(1)}
Costbounds
Overall costbound: 24⋅X₀⋅X₄+24⋅X₂⋅X₄+12⋅X₂+36⋅X₄+7⋅X₀+31 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 4⋅X₂+X₀+5 {O(n)}
t₉: 4⋅X₂+X₀+7 {O(n)}
t₁₁: 4⋅X₀+4⋅X₂+5 {O(n)}
t₁₂: 24⋅X₀⋅X₄+24⋅X₂⋅X₄+36⋅X₄+2 {O(n^2)}
t₁₄: 1 {O(1)}
t₁₅: X₀+2 {O(n)}
t₁₆: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₂ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₄ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₆ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₈ {O(n)}
t₀, X₈: X₈ {O(n)}
t₀, X₉: X₁₀ {O(n)}
t₀, X₁₀: X₁₀ {O(n)}
t₀, X₁₁: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₂ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₄ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₆ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₈ {O(n)}
t₁, X₈: X₈ {O(n)}
t₁, X₉: X₁₀ {O(n)}
t₁, X₁₀: X₁₀ {O(n)}
t₁, X₁₁: X₀ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₂ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₄ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₆ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₈ {O(n)}
t₂, X₈: X₈ {O(n)}
t₂, X₉: X₁₀ {O(n)}
t₂, X₁₀: X₁₀ {O(n)}
t₂, X₁₁: X₀ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: 0 {O(1)}
t₃, X₂: 0 {O(1)}
t₃, X₃: X₄ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₆ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₈ {O(n)}
t₃, X₈: X₈ {O(n)}
t₃, X₉: 0 {O(1)}
t₃, X₁₀: X₁₀ {O(n)}
t₃, X₁₁: X₀ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₂ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: 0 {O(1)}
t₄, X₄: 0 {O(1)}
t₄, X₅: X₆ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: 0 {O(1)}
t₄, X₈: X₈ {O(n)}
t₄, X₉: 1 {O(1)}
t₄, X₁₀: X₁₀ {O(n)}
t₄, X₁₁: X₀ {O(n)}
t₅, X₀: 0 {O(1)}
t₅, X₁: X₂ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₄ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: 0 {O(1)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: 1 {O(1)}
t₅, X₈: X₈ {O(n)}
t₅, X₉: 0 {O(1)}
t₅, X₁₀: X₁₀ {O(n)}
t₅, X₁₁: 0 {O(1)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₂ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₄ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: 1 {O(1)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: 1 {O(1)}
t₆, X₈: X₈ {O(n)}
t₆, X₉: 0 {O(1)}
t₆, X₁₀: X₁₀ {O(n)}
t₆, X₁₁: X₀ {O(n)}
t₇, X₀: 4⋅X₀ {O(n)}
t₇, X₁: 5⋅X₂ {O(n)}
t₇, X₂: 5⋅X₂ {O(n)}
t₇, X₃: 3⋅X₄ {O(n)}
t₇, X₄: 3⋅X₄ {O(n)}
t₇, X₅: 12⋅X₀+2⋅X₆+8⋅X₂+26 {O(n)}
t₇, X₆: 5⋅X₆ {O(n)}
t₇, X₇: 24⋅X₀⋅X₄+24⋅X₂⋅X₄+36⋅X₄+8 {O(n^2)}
t₇, X₈: 5⋅X₈ {O(n)}
t₇, X₉: 6⋅X₀+8⋅X₂+16 {O(n)}
t₇, X₁₀: 5⋅X₁₀ {O(n)}
t₇, X₁₁: 4⋅X₀ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₂ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: 0 {O(1)}
t₈, X₄: 0 {O(1)}
t₈, X₅: X₆ {O(n)}
t₈, X₆: X₆ {O(n)}
t₈, X₇: 0 {O(1)}
t₈, X₈: X₈ {O(n)}
t₈, X₉: 4⋅X₂+X₀+6 {O(n)}
t₈, X₁₀: X₁₀ {O(n)}
t₈, X₁₁: X₀ {O(n)}
t₉, X₀: 2⋅X₀ {O(n)}
t₉, X₁: 3⋅X₂ {O(n)}
t₉, X₂: 3⋅X₂ {O(n)}
t₉, X₃: 3⋅X₄ {O(n)}
t₉, X₄: 3⋅X₄ {O(n)}
t₉, X₅: 4⋅X₂+5⋅X₀+9 {O(n)}
t₉, X₆: 3⋅X₆ {O(n)}
t₉, X₇: 1 {O(1)}
t₉, X₈: 3⋅X₈ {O(n)}
t₉, X₉: 4⋅X₂+5⋅X₀+9 {O(n)}
t₉, X₁₀: 3⋅X₁₀ {O(n)}
t₉, X₁₁: 2⋅X₀ {O(n)}
t₁₁, X₀: 2⋅X₀ {O(n)}
t₁₁, X₁: 3⋅X₂ {O(n)}
t₁₁, X₂: 3⋅X₂ {O(n)}
t₁₁, X₃: 3⋅X₄ {O(n)}
t₁₁, X₄: 3⋅X₄ {O(n)}
t₁₁, X₅: 12⋅X₀+8⋅X₂+26 {O(n)}
t₁₁, X₆: 3⋅X₆ {O(n)}
t₁₁, X₇: 24⋅X₀⋅X₄+24⋅X₂⋅X₄+36⋅X₄+8 {O(n^2)}
t₁₁, X₈: 3⋅X₈ {O(n)}
t₁₁, X₉: 4⋅X₂+5⋅X₀+9 {O(n)}
t₁₁, X₁₀: 3⋅X₁₀ {O(n)}
t₁₁, X₁₁: 2⋅X₀ {O(n)}
t₁₂, X₀: 2⋅X₀ {O(n)}
t₁₂, X₁: 3⋅X₂ {O(n)}
t₁₂, X₂: 3⋅X₂ {O(n)}
t₁₂, X₃: 3⋅X₄ {O(n)}
t₁₂, X₄: 3⋅X₄ {O(n)}
t₁₂, X₅: 4⋅X₂+6⋅X₀+13 {O(n)}
t₁₂, X₆: 3⋅X₆ {O(n)}
t₁₂, X₇: 24⋅X₀⋅X₄+24⋅X₂⋅X₄+36⋅X₄+5 {O(n^2)}
t₁₂, X₈: 3⋅X₈ {O(n)}
t₁₂, X₉: 4⋅X₂+5⋅X₀+9 {O(n)}
t₁₂, X₁₀: 3⋅X₁₀ {O(n)}
t₁₂, X₁₁: 2⋅X₀ {O(n)}
t₁₄, X₀: 2⋅X₀ {O(n)}
t₁₄, X₁: 2⋅X₂ {O(n)}
t₁₄, X₂: 2⋅X₂ {O(n)}
t₁₄, X₃: 2⋅X₄ {O(n)}
t₁₄, X₄: 2⋅X₄ {O(n)}
t₁₄, X₅: X₀+4 {O(n)}
t₁₄, X₆: 2⋅X₆ {O(n)}
t₁₄, X₇: 1 {O(1)}
t₁₄, X₈: 2⋅X₈ {O(n)}
t₁₄, X₉: X₀+4 {O(n)}
t₁₄, X₁₀: 2⋅X₁₀ {O(n)}
t₁₄, X₁₁: 2⋅X₀ {O(n)}
t₁₅, X₀: X₀ {O(n)}
t₁₅, X₁: X₂ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₄ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: X₀+3 {O(n)}
t₁₅, X₆: X₆ {O(n)}
t₁₅, X₇: 1 {O(1)}
t₁₅, X₈: X₈ {O(n)}
t₁₅, X₉: 0 {O(1)}
t₁₅, X₁₀: X₁₀ {O(n)}
t₁₅, X₁₁: X₀ {O(n)}
t₁₆, X₀: X₀ {O(n)}
t₁₆, X₁: X₂ {O(n)}
t₁₆, X₂: X₂ {O(n)}
t₁₆, X₃: X₄ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₆, X₅: X₆ {O(n)}
t₁₆, X₆: X₆ {O(n)}
t₁₆, X₇: X₈ {O(n)}
t₁₆, X₈: X₈ {O(n)}
t₁₆, X₉: X₁₀ {O(n)}
t₁₆, X₁₀: X₁₀ {O(n)}
t₁₆, X₁₁: X₀ {O(n)}