Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₇: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ < 0
t₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₆
t₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ ≤ 0 ∧ 0 ≤ X₆
t₂₀: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₂-1, X₁₀, X₁₁, X₁₂)
t₂₂: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l9(X₀, X₁, X₂, X₃, X₄, nondef.2, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₁₈: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₂
t₁₉: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₂, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₂ ≤ 0
t₂₆: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄-1, X₃, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₁: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₁₁, X₁₀, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₂₇: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l3(X₀, X₁, X₂, X₃, X₀+1, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l1(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₁₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₁+1, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₁₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l12(X₀, X₁, X₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₁
t₁₇: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₁ ≤ 0
t₁₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, 0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₈ < 0
t₁₄: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, 0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₈
t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, X₇, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₈ ≤ 0 ∧ 0 ≤ X₈
t₁₂: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.1, X₉, X₁₀, X₁₁, X₁₂)
t₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₁₂ ≤ X₀
t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₀ < X₁₂
t₂₅: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l12(X₀, X₁, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₅ ≤ 0 ∧ 0 ≤ X₅
t₂₃: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₉, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₅ < 0
t₂₄: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₉, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₅

Preprocessing

Found invariant 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location l11

Found invariant 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l2

Found invariant X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l6

Found invariant X₁₂ ≤ X₀ ∧ X₁₁ ≤ X₀ for location l15

Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location l12

Found invariant X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l7

Found invariant X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l5

Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location l13

Found invariant X₁₁ ≤ X₀ for location l8

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l1

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location l10

Found invariant X₁₂ ≤ X₀ ∧ X₁₁ ≤ X₀ for location l16

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l4

Found invariant 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location l9

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₇: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ < 0 ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₂₀: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₂-1, X₁₀, X₁₁, X₁₂) :|: X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁
t₂₂: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l9(X₀, X₁, X₂, X₃, X₄, nondef.2, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁
t₁₈: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₂ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁
t₁₉: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₂, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₂ ≤ 0 ∧ X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁
t₂₆: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄-1, X₃, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁
t₁: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₁₁, X₁₀, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂)
t₂₇: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₁₂ ≤ X₀ ∧ X₁₁ ≤ X₀
t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l3(X₀, X₁, X₂, X₃, X₀+1, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l1(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₁₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₁+1, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₁₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l12(X₀, X₁, X₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₁ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₁₇: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₁ ≤ 0 ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₁₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, 0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₈ < 0 ∧ X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₁₄: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, 0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₈ ∧ X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, X₇, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₁₂: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.1, X₉, X₁₀, X₁₁, X₁₂) :|: X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀
t₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₁₂ ≤ X₀ ∧ X₁₁ ≤ X₀
t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₀ < X₁₂ ∧ X₁₁ ≤ X₀
t₂₅: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l12(X₀, X₁, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁
t₂₃: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₉, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₅ < 0 ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁
t₂₄: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₉, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₅ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁

MPRF for transition t₇: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ < 0 ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

X₁₁+X₁₂ {O(n)}

MPRF for transition t₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

X₁₁+X₁₂ {O(n)}

MPRF for transition t₁₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₁+1, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

X₁₁+X₁₂ {O(n)}

MPRF for transition t₁₂: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.1, X₉, X₁₀, X₁₁, X₁₂) :|: X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

X₁₁+X₁₂ {O(n)}

MPRF for transition t₁₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, 0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₈ < 0 ∧ X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

X₁₁+X₁₂ {O(n)}

MPRF for transition t₁₄: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, 0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₈ ∧ X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

X₁₁+X₁₂ {O(n)}

MPRF for transition t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, X₇, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

2⋅X₁₁+2⋅X₁₂+1 {O(n)}

MPRF for transition t₁₇: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₁ ≤ 0 ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

X₁₁+X₁₂ {O(n)}

MPRF for transition t₁₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l12(X₀, X₁, X₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₁ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF for transition t₁₈: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₂ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+3⋅X₁₁+3⋅X₁₂+X₁₀ {O(n^2)}

MPRF for transition t₁₉: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₂, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₂ ≤ 0 ∧ X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF for transition t₂₀: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₂-1, X₁₀, X₁₁, X₁₂) :|: X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

16⋅X₁₁⋅X₁₁+16⋅X₁₂⋅X₁₂+32⋅X₁₁⋅X₁₂+7⋅X₁₁+7⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF for transition t₂₂: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l9(X₀, X₁, X₂, X₃, X₄, nondef.2, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF for transition t₂₃: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₉, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₅ < 0 ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF for transition t₂₄: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l13(X₀, X₁, X₂, X₉, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 0 < X₅ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF for transition t₂₅: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l12(X₀, X₁, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF for transition t₂₆: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l8(X₄-1, X₃, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+3⋅X₁₁+3⋅X₁₂+X₁₀ {O(n^2)}

knowledge_propagation leads to new time bound 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)} for transition t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₀ < X₁₂ ∧ X₁₁ ≤ X₀

knowledge_propagation leads to new time bound 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)} for transition t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l3(X₀, X₁, X₂, X₃, X₀+1, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀

knowledge_propagation leads to new time bound 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)} for transition t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l1(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀

knowledge_propagation leads to new time bound 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)} for transition t₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂) :|: X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀

Chain transitions t₆: l3→l1 and t₉: l1→l5 to t₆₀₁: l3→l5

Chain transitions t₆: l3→l1 and t₈: l1→l4 to t₆₀₂: l3→l4

Chain transitions t₆: l3→l1 and t₇: l1→l4 to t₆₀₃: l3→l4

Chain transitions t₁₈: l12→l10 and t₂₀: l10→l11 to t₆₀₄: l12→l11

Chain transitions t₆₀₄: l12→l11 and t₂₂: l11→l9 to t₆₀₅: l12→l9

Chain transitions t₂₅: l9→l12 and t₆₀₅: l12→l9 to t₆₀₆: l9→l9

Chain transitions t₁₆: l5→l12 and t₆₀₅: l12→l9 to t₆₀₇: l5→l9

Chain transitions t₁₆: l5→l12 and t₁₉: l12→l13 to t₆₀₈: l5→l13

Chain transitions t₂₅: l9→l12 and t₁₉: l12→l13 to t₆₀₉: l9→l13

Chain transitions t₁₆: l5→l12 and t₆₀₄: l12→l11 to t₆₁₀: l5→l11

Chain transitions t₂₅: l9→l12 and t₆₀₄: l12→l11 to t₆₁₁: l9→l11

Chain transitions t₁₆: l5→l12 and t₁₈: l12→l10 to t₆₁₂: l5→l10

Chain transitions t₂₅: l9→l12 and t₁₈: l12→l10 to t₆₁₃: l9→l10

Chain transitions t₆₀₉: l9→l13 and t₂₆: l13→l8 to t₆₁₄: l9→l8

Chain transitions t₂₄: l9→l13 and t₂₆: l13→l8 to t₆₁₅: l9→l8

Chain transitions t₂₃: l9→l13 and t₂₆: l13→l8 to t₆₁₆: l9→l8

Chain transitions t₆₀₈: l5→l13 and t₂₆: l13→l8 to t₆₁₇: l5→l8

Chain transitions t₂: l8→l2 and t₄: l2→l3 to t₆₁₈: l8→l3

Chain transitions t₆₁₈: l8→l3 and t₆₀₁: l3→l5 to t₆₁₉: l8→l5

Chain transitions t₆₁₈: l8→l3 and t₆₀₃: l3→l4 to t₆₂₀: l8→l4

Chain transitions t₆₁₈: l8→l3 and t₆₀₂: l3→l4 to t₆₂₁: l8→l4

Chain transitions t₆₁₈: l8→l3 and t₆: l3→l1 to t₆₂₂: l8→l1

Chain transitions t₆₂₁: l8→l4 and t₁₀: l4→l7 to t₆₂₃: l8→l7

Chain transitions t₆₂₀: l8→l4 and t₁₀: l4→l7 to t₆₂₄: l8→l7

Chain transitions t₆₁₉: l8→l5 and t₆₀₇: l5→l9 to t₆₂₅: l8→l9

Chain transitions t₆₁₉: l8→l5 and t₆₁₇: l5→l8 to t₆₂₆: l8→l8

Chain transitions t₆₁₉: l8→l5 and t₁₇: l5→l8 to t₆₂₇: l8→l8

Chain transitions t₆₁₉: l8→l5 and t₆₀₈: l5→l13 to t₆₂₈: l8→l13

Chain transitions t₆₁₉: l8→l5 and t₁₆: l5→l12 to t₆₂₉: l8→l12

Chain transitions t₆₁₉: l8→l5 and t₆₁₀: l5→l11 to t₆₃₀: l8→l11

Chain transitions t₆₁₉: l8→l5 and t₆₁₂: l5→l10 to t₆₃₁: l8→l10

Chain transitions t₁₂: l7→l6 and t₁₅: l6→l8 to t₆₃₂: l7→l8

Chain transitions t₁₂: l7→l6 and t₁₄: l6→l8 to t₆₃₃: l7→l8

Chain transitions t₁₂: l7→l6 and t₁₃: l6→l8 to t₆₃₄: l7→l8

Chain transitions t₆₂₄: l8→l7 and t₆₃₄: l7→l8 to t₆₃₅: l8→l8

Chain transitions t₆₂₃: l8→l7 and t₆₃₄: l7→l8 to t₆₃₆: l8→l8

Chain transitions t₆₂₃: l8→l7 and t₆₃₃: l7→l8 to t₆₃₇: l8→l8

Chain transitions t₆₂₄: l8→l7 and t₆₃₃: l7→l8 to t₆₃₈: l8→l8

Chain transitions t₆₂₃: l8→l7 and t₆₃₂: l7→l8 to t₆₃₉: l8→l8

Chain transitions t₆₂₄: l8→l7 and t₆₃₂: l7→l8 to t₆₄₀: l8→l8

Chain transitions t₆₂₃: l8→l7 and t₁₂: l7→l6 to t₆₄₁: l8→l6

Chain transitions t₆₂₄: l8→l7 and t₁₂: l7→l6 to t₆₄₂: l8→l6

Analysing control-flow refined program

Cut unsatisfiable transition t₆₂₆: l8→l8

Cut unsatisfiable transition t₆₂₈: l8→l13

Eliminate variables {Temp_Int₇₈₁₀,Temp_Int₇₈₂₃,X₃,X₇,X₈} that do not contribute to the problem

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location l11

Found invariant 1+X₈ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ X₈ ≤ X₀ for location l2

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ for location l6

Found invariant X₉ ≤ X₀ ∧ X₈ ≤ X₀ for location l15

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location l12

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ for location l7

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ for location l5

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location l13

Found invariant X₈ ≤ X₀ for location l8

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ for location l1

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location l10

Found invariant X₉ ≤ X₀ ∧ X₈ ≤ X₀ for location l16

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ for location l4

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location l9

Found invariant 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ for location l3

MPRF for transition t₇₂₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{5}> l8(1+X₀, X₁, X₂, 1+X₀, X₄, Temp_Int₇₅₃₄, X₆, X₇, X₈, X₉) :|: X₀ < X₉ ∧ Temp_Int₇₅₃₄ ≤ 0 ∧ 0 ≤ Temp_Int₇₅₃₄ ∧ X₁ ≤ 0 ∧ X₈ ≤ X₀ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF for transition t₇₂₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{7}> l8(1+X₀, 0, X₂, 1+X₀, X₄, Temp_Int₇₅₄₇, X₆, X₇, X₈, X₉) :|: X₀ < X₉ ∧ Temp_Int₇₅₄₇ < 0 ∧ Temp_Int₇₇₃₀ < 0 ∧ X₈ ≤ X₀ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF for transition t₇₂₄: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{7}> l8(1+X₀, 0, X₂, 1+X₀, X₄, Temp_Int₇₅₆₀, X₆, X₇, X₈, X₉) :|: X₀ < X₉ ∧ 0 < Temp_Int₇₅₆₀ ∧ Temp_Int₇₇₄₃ < 0 ∧ X₈ ≤ X₀ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF for transition t₇₂₅: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{7}> l8(1+X₀, 0, X₂, 1+X₀, X₄, Temp_Int₇₅₆₀, X₆, X₇, X₈, X₉) :|: X₀ < X₉ ∧ 0 < Temp_Int₇₅₆₀ ∧ 0 < Temp_Int₇₇₅₆ ∧ X₈ ≤ X₀ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF for transition t₇₂₆: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{7}> l8(1+X₀, 0, X₂, 1+X₀, X₄, Temp_Int₇₅₄₇, X₆, X₇, X₈, X₉) :|: X₀ < X₉ ∧ Temp_Int₇₅₄₇ < 0 ∧ 0 < Temp_Int₇₇₆₉ ∧ X₈ ≤ X₀ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF for transition t₇₂₇: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{7}> l8(1+X₀, 1+X₁, X₂, 1+X₀, X₄, Temp_Int₇₅₆₀, X₆, X₇, X₈, X₉) :|: X₀ < X₉ ∧ 0 < Temp_Int₇₅₆₀ ∧ Temp_Int₇₇₈₂ ≤ 0 ∧ 0 ≤ Temp_Int₇₇₈₂ ∧ X₈ ≤ X₀ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF for transition t₇₂₈: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{7}> l8(1+X₀, 1+X₁, X₂, 1+X₀, X₄, Temp_Int₇₅₄₇, X₆, X₇, X₈, X₉) :|: X₀ < X₉ ∧ Temp_Int₇₅₄₇ < 0 ∧ Temp_Int₇₇₉₅ ≤ 0 ∧ 0 ≤ Temp_Int₇₇₉₅ ∧ X₈ ≤ X₀ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF for transition t₇₂₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{8}> l9(X₀, X₁, X₁, 1+X₀, Temp_Int₇₆₀₈, Temp_Int₇₅₃₄, X₁-1, X₇, X₈, X₉) :|: X₀ < X₉ ∧ Temp_Int₇₅₃₄ ≤ 0 ∧ 0 ≤ Temp_Int₇₅₃₄ ∧ 0 < X₁ ∧ 0 < X₁ ∧ X₈ ≤ X₀ of depth 1:

new bound:

32⋅X₈⋅X₈+32⋅X₉⋅X₉+64⋅X₈⋅X₉+5⋅X₈+5⋅X₉+X₇+1 {O(n^2)}

MPRF for transition t₇₃₆: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{3}> l8(X₃-1, X₆, X₆, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₆ ≤ 0 ∧ 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ of depth 1:

new bound:

32⋅X₈⋅X₈+32⋅X₉⋅X₉+64⋅X₈⋅X₉+5⋅X₈+5⋅X₉+X₇+1 {O(n^2)}

MPRF for transition t₇₃₇: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{2}> l8(X₃-1, X₆, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 < X₄ ∧ 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ of depth 1:

new bound:

32⋅X₈⋅X₈+32⋅X₉⋅X₉+64⋅X₈⋅X₉+5⋅X₈+5⋅X₉+X₇+1 {O(n^2)}

MPRF for transition t₇₃₈: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{2}> l8(X₃-1, X₆, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ < 0 ∧ 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ of depth 1:

new bound:

32⋅X₈⋅X₈+32⋅X₉⋅X₉+64⋅X₈⋅X₉+5⋅X₈+5⋅X₉+X₇+1 {O(n^2)}

MPRF for transition t₇₃₉: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) -{4}> l9(X₀, X₁, X₆, X₃, Temp_Int₇₃₇₁, X₅, X₆-1, X₇, X₈, X₉) :|: X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ 0 < X₆ ∧ 1+X₈ ≤ X₉ ∧ X₃ ≤ X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₃ ∧ X₈ ≤ X₀ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 1+X₀ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ of depth 1:

new bound:

32⋅X₈⋅X₈+32⋅X₉⋅X₉+64⋅X₈⋅X₉+X₇+X₈+X₉ {O(n^2)}

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

Analysing control-flow refined program

Cut unsatisfiable transition t₁₂₄₄: n_l8___22→l15

Cut unsatisfiable transition t₁₂₄₅: n_l8___27→l15

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1+X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₁ ≤ 1+X₉ ∧ X₆ ≤ 0 ∧ 1+X₅+X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1+X₅ ≤ 0 ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l13___35

Found invariant 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₁₀ ≤ X₁ ∧ X₁ ≤ X₁₀ for location n_l2___45

Found invariant X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l6

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₁ ≤ 1+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l13___34

Found invariant X₈ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 0 ∧ X₁+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ X₇ ≤ X₁ ∧ X₁+X₇ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ X₀ ∧ 2+X₁₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ X₀ ≤ X₁₂ ∧ 2+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l8___5

Found invariant 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₁ ≤ 1+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l11___38

Found invariant X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 0 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l12___36

Found invariant X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 2+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ for location n_l1___7

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₇ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 2+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ for location n_l5___6

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₁₁ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₁₀ ≤ X₁ ∧ X₁ ≤ X₁₀ for location n_l1___43

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l3___12

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 0 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 0 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 0 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 0 ∧ X₉ ≤ X₁ ∧ X₁+X₉ ≤ 0 ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 0 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 0 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location n_l3___20

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l4

Found invariant X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 2+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l3___16

Found invariant X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₁₁ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₁₀ ≤ X₁ ∧ X₁ ≤ X₁₀ for location n_l5___42

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 2+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 2 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 2+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₁+X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 2 ≤ X₁ for location n_l13___28

Found invariant 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l2___13

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 0 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 0 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 0 ∧ X₉ ≤ X₁ ∧ X₁+X₉ ≤ 0 ∧ 0 ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 0 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location n_l1___19

Found invariant X₈ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 0 ∧ X₁+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ X₇ ≤ X₁ ∧ X₁+X₇ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 3+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 3+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 2+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l5___1

Found invariant 1+X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₁+X₉ ∧ X₁ ≤ 1+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l9___37

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ 2+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1+X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 2 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₅+X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 2+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1+X₅ ≤ 0 ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 3+X₅ ≤ X₁ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 2 ≤ X₁ for location n_l13___29

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 0 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁ for location n_l8___27

Found invariant X₁₂ ≤ X₀ ∧ X₁₁ ≤ X₀ for location l15

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l1___11

Found invariant 1+X₉ ≤ X₂ ∧ 2+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 2 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 2+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 2 ≤ X₁ for location n_l11___31

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 0 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 0 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 0 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 0 ∧ 1+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 0 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 1 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 0 ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 1 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 0 ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l13___32

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 0 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁ for location n_l3___25

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l10___39

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁ for location n_l1___24

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 0 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 0 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 0 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 0 ∧ X₉ ≤ X₁ ∧ X₁+X₉ ≤ 0 ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 0 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 0 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location n_l5___18

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 0 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 0 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 0 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 0 ∧ X₉ ≤ X₁ ∧ X₁+X₉ ≤ 0 ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 0 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 0 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location n_l8___22

Found invariant 1+X₉ ≤ X₂ ∧ 2+X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 2 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 2+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 2 ≤ X₁ for location n_l9___30

Found invariant X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 3 ≤ X₁+X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 2+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 2 ≤ X₁ for location n_l10___33

Found invariant X₈ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 0 ∧ X₁+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ X₇ ≤ X₁ ∧ X₁+X₇ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 3+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 3+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 2+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l3___3

Found invariant X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 2+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l5___14

Found invariant X₈ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₁+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₁ ∧ X₁+X₇ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 3+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 3+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 2+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l1___2

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₁₁ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₁₀ ≤ X₁ ∧ X₁ ≤ X₁₀ for location n_l3___44

Found invariant X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l5___10

Found invariant X₇ ≤ 1+X₁ ∧ 1+X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ for location l7

Found invariant X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ 1+X₄ ≤ X₁₂ ∧ X₄ ≤ X₀ ∧ 1+X₁₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l2___17

Found invariant X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₇ ∧ 1+X₄ ≤ X₁₂ ∧ X₄ ≤ X₀ ∧ 1+X₁₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ for location n_l2___9

Found invariant X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 2+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ for location n_l3___8

Found invariant X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ X₀ ∧ 1+X₁₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₁₁ ≤ X₁₂ ∧ X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l8___40

Found invariant X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 2+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 2+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l1___15

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 0 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 0 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 0 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 0 ∧ X₉ ≤ X₁ ∧ X₁+X₉ ≤ 0 ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 0 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 0 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 0 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 0 ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ for location n_l2___21

Found invariant X₁₁ ≤ X₀ for location l8

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 1 ≤ X₁ for location n_l12___41

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 0 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁ for location n_l2___26

Found invariant X₉ ≤ X₃ ∧ 1+X₉ ≤ X₂ ∧ X₉ ≤ X₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 0 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 0 ≤ X₁+X₆ ∧ X₄ ≤ X₁₂ ∧ X₄ ≤ 1+X₀ ∧ 1+X₁₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ X₁₁ ≤ X₀ ∧ 0 ≤ X₁ for location n_l5___23

Found invariant X₁₂ ≤ X₀ ∧ X₁₁ ≤ X₀ for location l16

Found invariant X₈ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 0 ∧ X₁+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ X₇ ≤ X₁ ∧ X₁+X₇ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₆ ≤ 0 ∧ X₁+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₁ ≤ X₆ ∧ 1+X₄ ≤ X₁₂ ∧ X₄ ≤ X₀ ∧ 2+X₁₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 3+X₁₁ ≤ X₁₂ ∧ 1+X₀ ≤ X₁₂ ∧ 2+X₁₁ ≤ X₀ ∧ X₁ ≤ 0 for location n_l2___4

All Bounds

Timebounds

Overall timebound:160⋅X₁₁⋅X₁₁+160⋅X₁₂⋅X₁₂+320⋅X₁₁⋅X₁₂+13⋅X₁₀+84⋅X₁₁+84⋅X₁₂+20 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₃: 1 {O(1)}
t₄: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₆: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₇: X₁₁+X₁₂ {O(n)}
t₈: X₁₁+X₁₂ {O(n)}
t₉: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₁₀: X₁₁+X₁₂ {O(n)}
t₁₂: X₁₁+X₁₂ {O(n)}
t₁₃: X₁₁+X₁₂ {O(n)}
t₁₄: X₁₁+X₁₂ {O(n)}
t₁₅: 2⋅X₁₁+2⋅X₁₂+1 {O(n)}
t₁₆: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₇: X₁₁+X₁₂ {O(n)}
t₁₈: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+3⋅X₁₁+3⋅X₁₂+X₁₀ {O(n^2)}
t₁₉: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₀: 16⋅X₁₁⋅X₁₁+16⋅X₁₂⋅X₁₂+32⋅X₁₁⋅X₁₂+7⋅X₁₁+7⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₂: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₃: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₄: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₅: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₆: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+3⋅X₁₁+3⋅X₁₂+X₁₀ {O(n^2)}
t₂₇: 1 {O(1)}

Costbounds

Overall costbound: 160⋅X₁₁⋅X₁₁+160⋅X₁₂⋅X₁₂+320⋅X₁₁⋅X₁₂+13⋅X₁₀+84⋅X₁₁+84⋅X₁₂+20 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₃: 1 {O(1)}
t₄: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₆: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₇: X₁₁+X₁₂ {O(n)}
t₈: X₁₁+X₁₂ {O(n)}
t₉: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+8⋅X₁₁+8⋅X₁₂+X₁₀+2 {O(n^2)}
t₁₀: X₁₁+X₁₂ {O(n)}
t₁₂: X₁₁+X₁₂ {O(n)}
t₁₃: X₁₁+X₁₂ {O(n)}
t₁₄: X₁₁+X₁₂ {O(n)}
t₁₅: 2⋅X₁₁+2⋅X₁₂+1 {O(n)}
t₁₆: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₇: X₁₁+X₁₂ {O(n)}
t₁₈: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+3⋅X₁₁+3⋅X₁₂+X₁₀ {O(n^2)}
t₁₉: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₀: 16⋅X₁₁⋅X₁₁+16⋅X₁₂⋅X₁₂+32⋅X₁₁⋅X₁₂+7⋅X₁₁+7⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₂: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₃: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₄: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₅: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+5⋅X₁₁+5⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₆: 12⋅X₁₁⋅X₁₁+12⋅X₁₂⋅X₁₂+24⋅X₁₁⋅X₁₂+3⋅X₁₁+3⋅X₁₂+X₁₀ {O(n^2)}
t₂₇: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₀, X₈: X₈ {O(n)}
t₀, X₉: X₉ {O(n)}
t₀, X₁₀: X₁₀ {O(n)}
t₀, X₁₁: X₁₁ {O(n)}
t₀, X₁₂: X₁₂ {O(n)}
t₁, X₀: X₁₁ {O(n)}
t₁, X₁: X₁₀ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₁, X₉: X₉ {O(n)}
t₁, X₁₀: X₁₀ {O(n)}
t₁, X₁₁: X₁₁ {O(n)}
t₁, X₁₂: X₁₂ {O(n)}
t₂, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₂, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₂, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₂, X₄: 50⋅X₁₂+60⋅X₁₁+X₄+20 {O(n)}
t₂, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₂, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₂, X₁₀: X₁₀ {O(n)}
t₂, X₁₁: X₁₁ {O(n)}
t₂, X₁₂: X₁₂ {O(n)}
t₃, X₀: 20⋅X₁₂+25⋅X₁₁+4 {O(n)}
t₃, X₁: 3⋅X₁₀+4⋅X₁₁+4⋅X₁₂+2 {O(n)}
t₃, X₂: 16⋅X₁₁+16⋅X₁₂+5⋅X₂+8⋅X₁₀+8 {O(n)}
t₃, X₃: 16⋅X₁₁+16⋅X₁₂+5⋅X₃+8⋅X₁₀+8 {O(n)}
t₃, X₄: 35⋅X₁₂+42⋅X₁₁+X₄+14 {O(n)}
t₃, X₇: 12⋅X₁₀+2⋅X₇+24⋅X₁₁+24⋅X₁₂+24 {O(n)}
t₃, X₉: 12⋅X₁₀+24⋅X₁₁+24⋅X₁₂+5⋅X₉+12 {O(n)}
t₃, X₁₀: 5⋅X₁₀ {O(n)}
t₃, X₁₁: 5⋅X₁₁ {O(n)}
t₃, X₁₂: 5⋅X₁₂ {O(n)}
t₄, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₄, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₄, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₄, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₄, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₄, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₄, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₄, X₁₀: X₁₀ {O(n)}
t₄, X₁₁: X₁₁ {O(n)}
t₄, X₁₂: X₁₂ {O(n)}
t₆, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₆, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₆, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₆, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₆, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₆, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₆, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₆, X₁₀: X₁₀ {O(n)}
t₆, X₁₁: X₁₁ {O(n)}
t₆, X₁₂: X₁₂ {O(n)}
t₇, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₇, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₇, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₇, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₇, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₇, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₇, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₇, X₁₀: X₁₀ {O(n)}
t₇, X₁₁: X₁₁ {O(n)}
t₇, X₁₂: X₁₂ {O(n)}
t₈, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₈, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₈, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₈, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₈, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₈, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₈, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₈, X₁₀: X₁₀ {O(n)}
t₈, X₁₁: X₁₁ {O(n)}
t₈, X₁₂: X₁₂ {O(n)}
t₉, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₉, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₉, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₉, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₉, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₉, X₆: 0 {O(1)}
t₉, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₉, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₉, X₁₀: X₁₀ {O(n)}
t₉, X₁₁: X₁₁ {O(n)}
t₉, X₁₂: X₁₂ {O(n)}
t₁₀, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₀, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₀, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₁₀, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₀, X₄: 10⋅X₁₂+12⋅X₁₁+4 {O(n)}
t₁₀, X₇: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+4 {O(n)}
t₁₀, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₁₀, X₁₀: X₁₀ {O(n)}
t₁₀, X₁₁: X₁₁ {O(n)}
t₁₀, X₁₂: X₁₂ {O(n)}
t₁₂, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₂, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₂, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₁₂, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₂, X₄: 10⋅X₁₂+12⋅X₁₁+4 {O(n)}
t₁₂, X₇: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+4 {O(n)}
t₁₂, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₁₂, X₁₀: X₁₀ {O(n)}
t₁₂, X₁₁: X₁₁ {O(n)}
t₁₂, X₁₂: X₁₂ {O(n)}
t₁₃, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₃, X₁: 0 {O(1)}
t₁₃, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₁₃, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₃, X₄: 10⋅X₁₂+12⋅X₁₁+4 {O(n)}
t₁₃, X₇: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+4 {O(n)}
t₁₃, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₁₃, X₁₀: X₁₀ {O(n)}
t₁₃, X₁₁: X₁₁ {O(n)}
t₁₃, X₁₂: X₁₂ {O(n)}
t₁₄, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₄, X₁: 0 {O(1)}
t₁₄, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₁₄, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₄, X₄: 10⋅X₁₂+12⋅X₁₁+4 {O(n)}
t₁₄, X₇: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+4 {O(n)}
t₁₄, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₁₄, X₁₀: X₁₀ {O(n)}
t₁₄, X₁₁: X₁₁ {O(n)}
t₁₄, X₁₂: X₁₂ {O(n)}
t₁₅, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₅, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₅, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₁₅, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₅, X₄: 10⋅X₁₂+12⋅X₁₁+4 {O(n)}
t₁₅, X₇: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+4 {O(n)}
t₁₅, X₈: 0 {O(1)}
t₁₅, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₁₅, X₁₀: X₁₀ {O(n)}
t₁₅, X₁₁: X₁₁ {O(n)}
t₁₅, X₁₂: X₁₂ {O(n)}
t₁₆, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₆, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₆, X₂: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₆, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₆, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₁₆, X₆: 0 {O(1)}
t₁₆, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₁₆, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₁₆, X₁₀: X₁₀ {O(n)}
t₁₆, X₁₁: X₁₁ {O(n)}
t₁₆, X₁₂: X₁₂ {O(n)}
t₁₇, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₇, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₇, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₂+2 {O(n)}
t₁₇, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₇, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₁₇, X₆: 0 {O(1)}
t₁₇, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₁₇, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₉+3 {O(n)}
t₁₇, X₁₀: X₁₀ {O(n)}
t₁₇, X₁₁: X₁₁ {O(n)}
t₁₇, X₁₂: X₁₂ {O(n)}
t₁₈, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₈, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₈, X₂: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₈, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₁₈, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₁₈, X₆: 0 {O(1)}
t₁₈, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₁₈, X₉: 4⋅X₁₀+8⋅X₁₁+8⋅X₁₂+X₉+4 {O(n)}
t₁₈, X₁₀: X₁₀ {O(n)}
t₁₈, X₁₁: X₁₁ {O(n)}
t₁₈, X₁₂: X₁₂ {O(n)}
t₁₉, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₁₉, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₉, X₂: 0 {O(1)}
t₁₉, X₃: 0 {O(1)}
t₁₉, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₁₉, X₅: 0 {O(1)}
t₁₉, X₆: 0 {O(1)}
t₁₉, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₁₉, X₉: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₁₉, X₁₀: X₁₀ {O(n)}
t₁₉, X₁₁: X₁₁ {O(n)}
t₁₉, X₁₂: X₁₂ {O(n)}
t₂₀, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₂₀, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₀, X₂: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₀, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₂₀, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₂₀, X₆: 0 {O(1)}
t₂₀, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₂₀, X₉: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₀, X₁₀: X₁₀ {O(n)}
t₂₀, X₁₁: X₁₁ {O(n)}
t₂₀, X₁₂: X₁₂ {O(n)}
t₂₂, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₂₂, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₂, X₂: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₂, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₂₂, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₂₂, X₆: 0 {O(1)}
t₂₂, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₂₂, X₉: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₂, X₁₀: X₁₀ {O(n)}
t₂₂, X₁₁: X₁₁ {O(n)}
t₂₂, X₁₂: X₁₂ {O(n)}
t₂₃, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₂₃, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₃, X₂: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₃, X₃: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₃, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₂₃, X₆: 0 {O(1)}
t₂₃, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₂₃, X₉: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₃, X₁₀: X₁₀ {O(n)}
t₂₃, X₁₁: X₁₁ {O(n)}
t₂₃, X₁₂: X₁₂ {O(n)}
t₂₄, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₂₄, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₄, X₂: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₄, X₃: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₄, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₂₄, X₆: 0 {O(1)}
t₂₄, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₂₄, X₉: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₄, X₁₀: X₁₀ {O(n)}
t₂₄, X₁₁: X₁₁ {O(n)}
t₂₄, X₁₂: X₁₂ {O(n)}
t₂₅, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₂₅, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₅, X₂: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₅, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₃+2 {O(n)}
t₂₅, X₄: 5⋅X₁₂+6⋅X₁₁+2 {O(n)}
t₂₅, X₅: 0 {O(1)}
t₂₅, X₆: 0 {O(1)}
t₂₅, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₂₅, X₉: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₅, X₁₀: X₁₀ {O(n)}
t₂₅, X₁₁: X₁₁ {O(n)}
t₂₅, X₁₂: X₁₂ {O(n)}
t₂₆, X₀: 5⋅X₁₂+6⋅X₁₁+1 {O(n)}
t₂₆, X₁: 2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n)}
t₂₆, X₂: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+2 {O(n)}
t₂₆, X₃: 2⋅X₁₀+4⋅X₁₁+4⋅X₁₂+2 {O(n)}
t₂₆, X₄: 15⋅X₁₂+18⋅X₁₁+6 {O(n)}
t₂₆, X₆: 0 {O(1)}
t₂₆, X₇: 12⋅X₁₁+12⋅X₁₂+6⋅X₁₀+X₇+12 {O(n)}
t₂₆, X₉: 3⋅X₁₀+6⋅X₁₁+6⋅X₁₂+3 {O(n)}
t₂₆, X₁₀: X₁₀ {O(n)}
t₂₆, X₁₁: X₁₁ {O(n)}
t₂₆, X₁₂: X₁₂ {O(n)}
t₂₇, X₀: 20⋅X₁₂+25⋅X₁₁+4 {O(n)}
t₂₇, X₁: 3⋅X₁₀+4⋅X₁₁+4⋅X₁₂+2 {O(n)}
t₂₇, X₂: 16⋅X₁₁+16⋅X₁₂+5⋅X₂+8⋅X₁₀+8 {O(n)}
t₂₇, X₃: 16⋅X₁₁+16⋅X₁₂+5⋅X₃+8⋅X₁₀+8 {O(n)}
t₂₇, X₄: 35⋅X₁₂+42⋅X₁₁+X₄+14 {O(n)}
t₂₇, X₇: 12⋅X₁₀+2⋅X₇+24⋅X₁₁+24⋅X₁₂+24 {O(n)}
t₂₇, X₉: 12⋅X₁₀+24⋅X₁₁+24⋅X₁₂+5⋅X₉+12 {O(n)}
t₂₇, X₁₀: 5⋅X₁₀ {O(n)}
t₂₇, X₁₁: 5⋅X₁₁ {O(n)}
t₂₇, X₁₂: 5⋅X₁₂ {O(n)}