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:

l11 [X₂+X₁₂-X₄-X₉ ]
l10 [X₁₂+1-X₄ ]
l3 [X₁₂-X₀ ]
l1 [X₁₂+1-X₄ ]
l4 [X₁₂-X₄ ]
l5 [X₁₂-X₀ ]
l7 [X₁₂-X₀-1 ]
l6 [X₁+X₁₂-X₀-X₇ ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂+1-X₄ ]
l9 [X₂+X₁₂-X₄-X₉ ]
l12 [X₁₂+1-X₄ ]

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:

l11 [X₁₂-X₀ ]
l10 [X₁₂-X₀ ]
l3 [X₁₂+1-X₄ ]
l1 [X₁₂+1-X₄ ]
l4 [X₁₂-X₄ ]
l5 [X₁₂-X₀ ]
l7 [X₁₂-X₄ ]
l6 [X₁₂-X₄ ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂-X₀ ]
l9 [X₁₂-X₀ ]
l12 [X₁₂-X₀ ]

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:

l11 [X₁₂-X₀ ]
l10 [X₁₂-X₀ ]
l3 [X₁₂-X₀ ]
l1 [X₁₂-X₀ ]
l4 [X₁₂-X₀ ]
l5 [X₁₂-X₀ ]
l7 [X₁₂-X₄ ]
l6 [X₁₂-X₄ ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂+1-X₄ ]
l9 [X₁₂-X₀ ]
l12 [X₁₂+1-X₄ ]

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:

l11 [X₂+X₁₂-X₄-X₉ ]
l10 [X₁₂-X₀ ]
l3 [X₁₂-X₀ ]
l1 [X₁₂-X₀ ]
l4 [X₁₂-X₀ ]
l5 [X₁₂+1-X₄ ]
l7 [X₁₂-X₀ ]
l6 [X₁₂-X₀ ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂+1-X₄ ]
l9 [X₂+X₁₂-X₄-X₉ ]
l12 [X₁₂+1-X₄ ]

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:

l11 [X₁₂+1-X₄ ]
l10 [X₁₂+1-X₄ ]
l3 [X₁₂-X₀ ]
l1 [X₁₂-X₀ ]
l4 [X₁₂-X₀ ]
l5 [X₁₂+1-X₄ ]
l7 [X₁₂+1-X₄ ]
l6 [X₁₂+1-X₄ ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂+1-X₄ ]
l9 [X₁₂+1-X₄ ]
l12 [X₁₂+1-X₄ ]

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:

l11 [X₁₂-X₀ ]
l10 [X₁₂-X₀ ]
l3 [X₁₂-X₀ ]
l1 [X₁₂-X₀ ]
l4 [X₁₂+1-X₄ ]
l5 [X₁₂+1-X₄ ]
l7 [X₁₂+1-X₄ ]
l6 [X₁₂+1-X₄ ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂+1-X₄ ]
l9 [X₁₂-X₀ ]
l12 [X₁₂+1-X₄ ]

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:

X₁₁+X₁₂ {O(n)}

MPRF:

l11 [X₁₂-X₀ ]
l10 [X₁₂-X₀ ]
l3 [X₁₂-X₀ ]
l1 [X₁₂-X₀ ]
l4 [X₁₂-X₀ ]
l5 [X₁₂+1-X₄ ]
l7 [X₁₂-X₀ ]
l6 [X₁₂-X₀ ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂+1-X₄ ]
l9 [X₁₂-X₀ ]
l12 [X₁₂-X₀ ]

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:

l11 [X₁₂-X₀ ]
l10 [X₁₂-X₀ ]
l3 [X₁₂-X₀ ]
l1 [X₁₂+1-X₄ ]
l4 [X₁₂+1-X₄ ]
l5 [X₁₂+1-X₄ ]
l7 [X₁₂-X₀ ]
l6 [X₁₂-X₀-1 ]
l8 [X₁₂-X₀ ]
l2 [X₁₂-X₀ ]
l13 [X₁₂+1-X₄ ]
l9 [X₁₂-X₀ ]
l12 [X₁₂+1-X₄ ]

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:

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

MPRF:

l11 [X₂ ]
l10 [X₂+1 ]
l3 [X₁+1 ]
l1 [X₁+1 ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁+1 ]
l6 [1 ]
l8 [X₁+1 ]
l2 [X₁+1 ]
l13 [X₃+1 ]
l9 [X₄+X₉-X₀ ]
l12 [X₂+1 ]

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:

3⋅X₁₁⋅X₁₁+3⋅X₁₂⋅X₁₂+6⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}

MPRF:

l11 [X₀+X₉+X₁₂+1-X₄-X₁₁ ]
l10 [X₀+X₂+X₁₂-X₄-X₁₁ ]
l3 [X₁+X₁₂-X₁₁-1 ]
l1 [X₁+X₁₂-X₁₁-1 ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁+X₁₂-X₁₁-1 ]
l6 [X₁₂-X₁₁ ]
l8 [X₁+X₁₂-X₁₁-1 ]
l2 [X₁+X₁₂-X₁₁-1 ]
l13 [X₃+X₁₂-X₁₁-1 ]
l9 [X₀+X₉+X₁₂-X₄-X₁₁ ]
l12 [X₂+X₁₂-X₁₁-1 ]

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:

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

MPRF:

l11 [X₂ ]
l10 [X₂ ]
l3 [X₁+1 ]
l1 [X₁+1 ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁+1 ]
l6 [1 ]
l8 [X₁+1 ]
l2 [X₁+1 ]
l13 [X₃+1 ]
l9 [X₉+1 ]
l12 [X₂+1 ]

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:

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

MPRF:

l11 [X₁+X₄+X₉+1-X₀-X₂ ]
l10 [X₁+1 ]
l3 [X₁+1 ]
l1 [X₁+1 ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁+1 ]
l6 [1 ]
l8 [X₁+1 ]
l2 [X₁+1 ]
l13 [X₁ ]
l9 [X₁+X₄-X₀ ]
l12 [X₁+1 ]

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:

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

MPRF:

l11 [X₀+X₁+1-X₄ ]
l10 [X₀+X₁+1-X₄ ]
l3 [X₁ ]
l1 [X₀+X₁+1-X₄ ]
l4 [X₀+X₁-X₄ ]
l7 [X₀+X₁-X₄ ]
l5 [X₀+X₁+1-X₄ ]
l6 [0 ]
l8 [X₁ ]
l2 [X₁ ]
l13 [X₃+1 ]
l9 [X₀+X₁+X₉+2-X₂-X₄ ]
l12 [X₀+X₁+1-X₄ ]

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:

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

MPRF:

l11 [X₁ ]
l10 [X₁ ]
l3 [X₁+1 ]
l1 [X₁+1 ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁+1 ]
l6 [1 ]
l8 [X₁+1 ]
l2 [X₁+1 ]
l13 [X₁ ]
l9 [X₁ ]
l12 [X₁ ]

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:

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

MPRF:

l11 [X₁ ]
l10 [X₁ ]
l3 [X₁ ]
l1 [X₁ ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁ ]
l6 [0 ]
l8 [X₁ ]
l2 [X₁ ]
l13 [X₁-1 ]
l9 [X₁+X₉+1-X₂ ]
l12 [X₁ ]

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:

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

MPRF:

l11 [X₉+1 ]
l10 [X₂ ]
l3 [X₁ ]
l1 [X₁ ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁ ]
l6 [0 ]
l8 [X₁ ]
l2 [X₁ ]
l13 [X₃ ]
l9 [X₉+1 ]
l12 [X₂ ]

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:

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

MPRF:

l11 [X₉+1 ]
l10 [X₂ ]
l3 [X₁ ]
l1 [X₁ ]
l4 [X₁ ]
l7 [X₁ ]
l5 [X₁ ]
l6 [0 ]
l8 [X₁ ]
l2 [X₁ ]
l13 [X₃ ]
l9 [X₉+1 ]
l12 [X₂ ]

knowledge_propagation leads to new time bound 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {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 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {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 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {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 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {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

Analysing control-flow refined program

Cut unsatisfiable transition t₃₃₂₀: n_l8___22→l15

Cut unsatisfiable transition t₃₃₂₁: 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:13⋅X₁₀⋅X₁₁+13⋅X₁₀⋅X₁₂+15⋅X₁₁⋅X₁₁+15⋅X₁₂⋅X₁₂+30⋅X₁₁⋅X₁₂+13⋅X₁₀+34⋅X₁₁+34⋅X₁₂+13 {O(n^2)}
t₀: 1 {O(1)}
t₇: X₁₁+X₁₂ {O(n)}
t₈: X₁₁+X₁₂ {O(n)}
t₉: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₀: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₂: 3⋅X₁₁⋅X₁₁+3⋅X₁₂⋅X₁₂+6⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₈: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₉: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₆: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}
t₁: 1 {O(1)}
t₂₇: 1 {O(1)}
t₄: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₆: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₀: X₁₁+X₁₂ {O(n)}
t₁₆: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₇: X₁₁+X₁₂ {O(n)}
t₁₃: X₁₁+X₁₂ {O(n)}
t₁₄: X₁₁+X₁₂ {O(n)}
t₁₅: X₁₁+X₁₂ {O(n)}
t₁₂: X₁₁+X₁₂ {O(n)}
t₂: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₃: 1 {O(1)}
t₂₃: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}
t₂₄: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}
t₂₅: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}

Costbounds

Overall costbound: 13⋅X₁₀⋅X₁₁+13⋅X₁₀⋅X₁₂+15⋅X₁₁⋅X₁₁+15⋅X₁₂⋅X₁₂+30⋅X₁₁⋅X₁₂+13⋅X₁₀+34⋅X₁₁+34⋅X₁₂+13 {O(n^2)}
t₀: 1 {O(1)}
t₇: X₁₁+X₁₂ {O(n)}
t₈: X₁₁+X₁₂ {O(n)}
t₉: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₀: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₂: 3⋅X₁₁⋅X₁₁+3⋅X₁₂⋅X₁₂+6⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₈: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₉: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₂₆: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}
t₁: 1 {O(1)}
t₂₇: 1 {O(1)}
t₄: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₆: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₀: X₁₁+X₁₂ {O(n)}
t₁₆: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+2⋅X₁₁+2⋅X₁₂+X₁₀+1 {O(n^2)}
t₁₇: X₁₁+X₁₂ {O(n)}
t₁₃: X₁₁+X₁₂ {O(n)}
t₁₄: X₁₁+X₁₂ {O(n)}
t₁₅: X₁₁+X₁₂ {O(n)}
t₁₂: X₁₁+X₁₂ {O(n)}
t₂: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+4⋅X₁₁+4⋅X₁₂+X₁₀+1 {O(n^2)}
t₃: 1 {O(1)}
t₂₃: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}
t₂₄: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}
t₂₅: 2⋅X₁₁⋅X₁₂+X₁₀⋅X₁₁+X₁₀⋅X₁₂+X₁₁⋅X₁₁+X₁₂⋅X₁₂+X₁₀ {O(n^2)}

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)}
t₇, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₇, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₇, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₇, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₇, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₇, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₇, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₇, X₁₀: X₁₀ {O(n)}
t₇, X₁₁: X₁₁ {O(n)}
t₇, X₁₂: X₁₂ {O(n)}
t₈, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₈, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₈, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₈, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₈, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₈, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₈, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₈, X₁₀: X₁₀ {O(n)}
t₈, X₁₁: X₁₁ {O(n)}
t₈, X₁₂: X₁₂ {O(n)}
t₉, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₉, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₉, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₉, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₉, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₉, X₆: 0 {O(1)}
t₉, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₉, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₉, X₁₀: X₁₀ {O(n)}
t₉, X₁₁: X₁₁ {O(n)}
t₉, X₁₂: X₁₂ {O(n)}
t₂₀, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₂₀, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₀, X₂: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₀, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₂₀, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₂₀, X₆: 0 {O(1)}
t₂₀, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₂₀, X₉: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₀, X₁₀: X₁₀ {O(n)}
t₂₀, X₁₁: X₁₁ {O(n)}
t₂₀, X₁₂: X₁₂ {O(n)}
t₂₂, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₂₂, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₂, X₂: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₂, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₂₂, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₂₂, X₆: 0 {O(1)}
t₂₂, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₂₂, X₉: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₂, X₁₀: X₁₀ {O(n)}
t₂₂, X₁₁: X₁₁ {O(n)}
t₂₂, X₁₂: X₁₂ {O(n)}
t₁₈, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₈, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₈, X₂: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₈, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₈, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₁₈, X₆: 0 {O(1)}
t₁₈, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₁₈, X₉: 4⋅X₁₀+4⋅X₁₁+4⋅X₁₂+X₉ {O(n)}
t₁₈, X₁₀: X₁₀ {O(n)}
t₁₈, X₁₁: X₁₁ {O(n)}
t₁₈, X₁₂: X₁₂ {O(n)}
t₁₉, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₉, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₉, X₂: 0 {O(1)}
t₁₉, X₃: 0 {O(1)}
t₁₉, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₁₉, X₅: 0 {O(1)}
t₁₉, X₆: 0 {O(1)}
t₁₉, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₁₉, X₉: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₉, X₁₀: X₁₀ {O(n)}
t₁₉, X₁₁: X₁₁ {O(n)}
t₁₉, X₁₂: X₁₂ {O(n)}
t₂₆, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₂₆, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₆, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂ {O(n)}
t₂₆, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂ {O(n)}
t₂₆, X₄: 12⋅X₁₂+15⋅X₁₁+3 {O(n)}
t₂₆, X₆: 0 {O(1)}
t₂₆, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₂₆, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂ {O(n)}
t₂₆, X₁₀: X₁₀ {O(n)}
t₂₆, X₁₁: X₁₁ {O(n)}
t₂₆, 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)}
t₂₇, X₀: 16⋅X₁₂+21⋅X₁₁ {O(n)}
t₂₇, X₁: 2⋅X₁₁+2⋅X₁₂+3⋅X₁₀ {O(n)}
t₂₇, X₂: 5⋅X₂+8⋅X₁₀+8⋅X₁₁+8⋅X₁₂ {O(n)}
t₂₇, X₃: 5⋅X₃+8⋅X₁₀+8⋅X₁₁+8⋅X₁₂ {O(n)}
t₂₇, X₄: 28⋅X₁₂+35⋅X₁₁+X₄+7 {O(n)}
t₂₇, X₇: 12⋅X₁₀+12⋅X₁₁+12⋅X₁₂+2⋅X₇+12 {O(n)}
t₂₇, X₉: 12⋅X₁₀+12⋅X₁₁+12⋅X₁₂+5⋅X₉ {O(n)}
t₂₇, X₁₀: 5⋅X₁₀ {O(n)}
t₂₇, X₁₁: 5⋅X₁₁ {O(n)}
t₂₇, X₁₂: 5⋅X₁₂ {O(n)}
t₄, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₄, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₄, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₄, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₄, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₄, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₄, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₄, X₁₀: X₁₀ {O(n)}
t₄, X₁₁: X₁₁ {O(n)}
t₄, X₁₂: X₁₂ {O(n)}
t₆, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₆, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₆, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₆, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₆, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₆, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₆, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₆, X₁₀: X₁₀ {O(n)}
t₆, X₁₁: X₁₁ {O(n)}
t₆, X₁₂: X₁₂ {O(n)}
t₁₀, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₀, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₀, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₁₀, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₀, X₄: 10⋅X₁₁+8⋅X₁₂+2 {O(n)}
t₁₀, X₇: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+2 {O(n)}
t₁₀, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₁₀, X₁₀: X₁₀ {O(n)}
t₁₀, X₁₁: X₁₁ {O(n)}
t₁₀, X₁₂: X₁₂ {O(n)}
t₁₆, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₆, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₆, X₂: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₆, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₆, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₁₆, X₆: 0 {O(1)}
t₁₆, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₁₆, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₁₆, X₁₀: X₁₀ {O(n)}
t₁₆, X₁₁: X₁₁ {O(n)}
t₁₆, X₁₂: X₁₂ {O(n)}
t₁₇, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₇, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₇, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₁₇, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₇, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₁₇, X₆: 0 {O(1)}
t₁₇, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₁₇, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₁₇, X₁₀: X₁₀ {O(n)}
t₁₇, X₁₁: X₁₁ {O(n)}
t₁₇, X₁₂: X₁₂ {O(n)}
t₁₃, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₃, X₁: 0 {O(1)}
t₁₃, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₁₃, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₃, X₄: 10⋅X₁₁+8⋅X₁₂+2 {O(n)}
t₁₃, X₇: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+2 {O(n)}
t₁₃, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₁₃, X₁₀: X₁₀ {O(n)}
t₁₃, X₁₁: X₁₁ {O(n)}
t₁₃, X₁₂: X₁₂ {O(n)}
t₁₄, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₄, X₁: 0 {O(1)}
t₁₄, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₁₄, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₄, X₄: 10⋅X₁₁+8⋅X₁₂+2 {O(n)}
t₁₄, X₇: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+2 {O(n)}
t₁₄, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₁₄, X₁₀: X₁₀ {O(n)}
t₁₄, X₁₁: X₁₁ {O(n)}
t₁₄, X₁₂: X₁₂ {O(n)}
t₁₅, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₅, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₅, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₁₅, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₅, X₄: 10⋅X₁₁+8⋅X₁₂+2 {O(n)}
t₁₅, X₇: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+2 {O(n)}
t₁₅, X₈: 0 {O(1)}
t₁₅, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₁₅, X₁₀: X₁₀ {O(n)}
t₁₅, X₁₁: X₁₁ {O(n)}
t₁₅, X₁₂: X₁₂ {O(n)}
t₁₂, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₁₂, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₁₂, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₁₂, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₁₂, X₄: 10⋅X₁₁+8⋅X₁₂+2 {O(n)}
t₁₂, X₇: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+2 {O(n)}
t₁₂, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₁₂, X₁₀: X₁₀ {O(n)}
t₁₂, X₁₁: X₁₁ {O(n)}
t₁₂, X₁₂: X₁₂ {O(n)}
t₂, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₂, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₂, X₂: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₂ {O(n)}
t₂, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₂, X₄: 40⋅X₁₂+50⋅X₁₁+X₄+10 {O(n)}
t₂, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₂, X₉: 3⋅X₁₀+3⋅X₁₁+3⋅X₁₂+X₉ {O(n)}
t₂, X₁₀: X₁₀ {O(n)}
t₂, X₁₁: X₁₁ {O(n)}
t₂, X₁₂: X₁₂ {O(n)}
t₃, X₀: 16⋅X₁₂+21⋅X₁₁ {O(n)}
t₃, X₁: 2⋅X₁₁+2⋅X₁₂+3⋅X₁₀ {O(n)}
t₃, X₂: 5⋅X₂+8⋅X₁₀+8⋅X₁₁+8⋅X₁₂ {O(n)}
t₃, X₃: 5⋅X₃+8⋅X₁₀+8⋅X₁₁+8⋅X₁₂ {O(n)}
t₃, X₄: 28⋅X₁₂+35⋅X₁₁+X₄+7 {O(n)}
t₃, X₇: 12⋅X₁₀+12⋅X₁₁+12⋅X₁₂+2⋅X₇+12 {O(n)}
t₃, X₉: 12⋅X₁₀+12⋅X₁₁+12⋅X₁₂+5⋅X₉ {O(n)}
t₃, X₁₀: 5⋅X₁₀ {O(n)}
t₃, X₁₁: 5⋅X₁₁ {O(n)}
t₃, X₁₂: 5⋅X₁₂ {O(n)}
t₂₃, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₂₃, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₃, X₂: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₃, X₃: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₃, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₂₃, X₆: 0 {O(1)}
t₂₃, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₂₃, X₉: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₃, X₁₀: X₁₀ {O(n)}
t₂₃, X₁₁: X₁₁ {O(n)}
t₂₃, X₁₂: X₁₂ {O(n)}
t₂₄, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₂₄, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₄, X₂: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₄, X₃: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₄, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₂₄, X₆: 0 {O(1)}
t₂₄, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₂₄, X₉: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₄, X₁₀: X₁₀ {O(n)}
t₂₄, X₁₁: X₁₁ {O(n)}
t₂₄, X₁₂: X₁₂ {O(n)}
t₂₅, X₀: 4⋅X₁₂+5⋅X₁₁ {O(n)}
t₂₅, X₁: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₅, X₂: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₅, X₃: 2⋅X₁₀+2⋅X₁₁+2⋅X₁₂+X₃ {O(n)}
t₂₅, X₄: 4⋅X₁₂+5⋅X₁₁+1 {O(n)}
t₂₅, X₅: 0 {O(1)}
t₂₅, X₆: 0 {O(1)}
t₂₅, X₇: 6⋅X₁₀+6⋅X₁₁+6⋅X₁₂+X₇+6 {O(n)}
t₂₅, X₉: X₁₀+X₁₁+X₁₂ {O(n)}
t₂₅, X₁₀: X₁₀ {O(n)}
t₂₅, X₁₁: X₁₁ {O(n)}
t₂₅, X₁₂: X₁₂ {O(n)}