Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: l0, l1, l10, l11, l12, l13, l14, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₇: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ < 0
t₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 < X₂
t₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₆, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ ≤ 0 ∧ 0 ≤ X₂
t₃: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₉ ≤ X₇
t₂: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₇ < X₉
t₁: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, 0, 0, 0, X₈, X₉)
t₃₀: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₇: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈+1, X₉)
t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l3(X₀, X₇+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l1(X₀, X₁, nondef.0, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l5(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₂: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅, X₉) :|: X₃ < 0
t₁₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅, X₉) :|: 0 < X₃
t₁₄: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ 0 ∧ 0 ≤ X₃
t₁₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: X₀ ≤ X₈
t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₈ < X₀
t₁₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₂₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: X₄ < 0 ∧ X₄ < 0
t₂₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: X₄ < 0 ∧ 0 < X₄
t₂₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: 0 < X₄ ∧ X₄ < 0
t₂₄: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: 0 < X₄ ∧ 0 < X₄
t₂₅: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₁, X₁, X₈, X₉) :|: X₄ < 0 ∧ X₄ ≤ 0 ∧ 0 ≤ X₄
t₂₆: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₁, X₁, X₈, X₉) :|: 0 < X₄ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄
t₂₇: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₀, X₁, X₈, X₉) :|: X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ < 0
t₂₈: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₀, X₁, X₈, X₉) :|: X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ 0 < X₄
t₂₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₀, X₁, X₈, X₉) :|: X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄
t₂₀: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l8(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, X₈, X₉)

Preprocessing

Cut unsatisfiable transition t₂₂: l8→l10

Cut unsatisfiable transition t₂₃: l8→l10

Cut unsatisfiable transition t₂₅: l8→l10

Cut unsatisfiable transition t₂₆: l8→l10

Cut unsatisfiable transition t₂₇: l8→l10

Cut unsatisfiable transition t₂₈: l8→l10

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅ for location l2

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ 1+X₇ ∧ X₈ ≤ X₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ for location l6

Found invariant X₉ ≤ X₇ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅ for location l12

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ for location l7

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ for location l5

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ 1+X₈ ≤ X₁ ∧ 1+X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₀+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location l13

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ for location l8

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ for location l1

Found invariant 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅ for location l10

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ for location l4

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ for location l9

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ for location l3

Found invariant X₉ ≤ X₇ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅ for location l14

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: l0, l1, l10, l11, l12, l13, l14, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₇: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ < 0 ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁
t₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 < X₂ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁
t₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₆, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁
t₃: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₉ ≤ X₇ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅
t₂: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₇ < X₉ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅
t₁: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, 0, 0, 0, X₈, X₉)
t₃₀: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₉ ≤ X₇ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅
t₁₇: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈+1, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ 1+X₈ ≤ X₁ ∧ 1+X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₀+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀
t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l3(X₀, X₇+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅
t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l1(X₀, X₁, nondef.0, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁
t₁₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l5(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₁₂: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅, X₉) :|: X₃ < 0 ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₁₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅, X₉) :|: 0 < X₃ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₁₄: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₁₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: X₀ ≤ X₈ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ 1+X₇ ∧ X₈ ≤ X₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₈ < X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ 1+X₇ ∧ X₈ ≤ X₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₁₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₂₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: X₄ < 0 ∧ X₄ < 0 ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₂₄: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: 0 < X₄ ∧ 0 < X₄ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₂₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₀, X₁, X₈, X₉) :|: X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₂₀: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l8(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁

MPRF for transition t₇: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ < 0 ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉-X₇ ]
l1 [X₉+1-X₁ ]
l4 [X₉-X₁ ]
l5 [X₉-X₇-1 ]
l13 [X₉-X₇-1 ]
l6 [X₉-X₁ ]
l7 [X₉-X₇-1 ]
l10 [X₉-X₇ ]
l9 [X₉-X₇-1 ]
l8 [X₉-X₁ ]

MPRF for transition t₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 < X₂ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉-X₇ ]
l1 [X₉-X₇ ]
l4 [X₉-X₇-1 ]
l5 [X₉-X₁ ]
l13 [X₉-X₁ ]
l6 [X₉-X₇-1 ]
l7 [X₉-X₁ ]
l10 [X₉-X₇ ]
l9 [X₉-X₁ ]
l8 [X₉-X₁ ]

MPRF for transition t₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₆, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉-X₇ ]
l1 [X₉+1-X₁ ]
l4 [X₉-X₁ ]
l5 [X₉-X₇-1 ]
l13 [X₉-X₁ ]
l6 [X₉-X₇-1 ]
l7 [X₉-X₇-1 ]
l10 [X₉-X₇ ]
l9 [X₉-X₇-1 ]
l8 [X₉-X₁ ]

MPRF for transition t₂: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₇ < X₉ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇-1 ]
l3 [X₉-X₇-1 ]
l1 [X₉-X₇-1 ]
l4 [X₉-X₁ ]
l5 [X₉-X₇-1 ]
l13 [X₉-X₁ ]
l6 [X₉-X₁ ]
l7 [X₉-X₇-1 ]
l10 [X₉-X₇ ]
l9 [X₉-X₇-1 ]
l8 [X₉-X₁ ]

MPRF for transition t₁₇: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈+1, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ 1+X₈ ≤ X₁ ∧ 1+X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₀+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₅ ]
l3 [X₉-X₅ ]
l1 [X₉-X₅ ]
l4 [X₉-X₅ ]
l5 [X₉-X₅ ]
l13 [X₇+X₉+1-X₁-X₈ ]
l6 [X₇+X₉+1-X₁-X₈ ]
l7 [X₉-X₅ ]
l10 [X₉-X₅ ]
l9 [X₇+X₉+1-X₁-X₅ ]
l8 [X₇+X₉+1-X₁-X₅ ]

MPRF for transition t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l3(X₀, X₇+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉-X₁ ]
l1 [X₉-X₁ ]
l4 [X₉-X₁ ]
l5 [X₉-X₇-1 ]
l13 [X₉-X₇-1 ]
l6 [X₉-X₇-1 ]
l7 [X₉-X₇-1 ]
l10 [X₉-X₇ ]
l9 [X₉-X₇-1 ]
l8 [X₉-X₁ ]

MPRF for transition t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l1(X₀, X₁, nondef.0, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉-X₇ ]
l1 [X₉-X₇-1 ]
l4 [X₉-X₁ ]
l5 [X₉-X₇-1 ]
l13 [X₉-X₁ ]
l6 [X₉-X₁ ]
l7 [X₉-X₇-1 ]
l10 [X₉-X₇ ]
l9 [X₉-X₇-1 ]
l8 [X₉-X₁ ]

MPRF for transition t₁₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l5(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉+1-X₁ ]
l1 [X₉+1-X₁ ]
l4 [X₉+1-X₁ ]
l5 [X₉-X₁ ]
l13 [X₉-X₇-1 ]
l6 [X₉-X₇-1 ]
l7 [X₉-X₁ ]
l10 [X₉-X₇ ]
l9 [X₉-X₁ ]
l8 [X₉-X₁ ]

MPRF for transition t₁₂: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅, X₉) :|: X₃ < 0 ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉-X₇ ]
l1 [X₉-X₇ ]
l4 [X₉-X₇ ]
l5 [X₉-X₇ ]
l13 [X₉-X₇-1 ]
l6 [X₉-X₇-1 ]
l7 [X₉-X₇ ]
l10 [X₉-X₇ ]
l9 [X₉-X₇ ]
l8 [X₉-X₁ ]

MPRF for transition t₁₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅, X₉) :|: 0 < X₃ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₅ ]
l3 [X₉-X₅ ]
l1 [X₉-X₅ ]
l4 [X₉-X₅ ]
l5 [X₉-X₅ ]
l13 [X₉-X₇-1 ]
l6 [X₉-X₇-1 ]
l7 [X₉-X₅ ]
l10 [X₉-X₅ ]
l9 [X₉-X₅ ]
l8 [X₇+X₉+1-X₁-X₅ ]

MPRF for transition t₁₄: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉+1-X₁ ]
l1 [X₉+1-X₁ ]
l4 [X₉+1-X₁ ]
l5 [X₉+1-X₁ ]
l13 [X₉-X₇ ]
l6 [X₉-X₇ ]
l7 [X₉-X₁ ]
l10 [X₉-X₇ ]
l9 [X₉-X₇-1 ]
l8 [X₉-X₇-1 ]

MPRF for transition t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₈ < X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ 1+X₇ ∧ X₈ ≤ X₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₅ ]
l3 [X₉-X₅ ]
l1 [X₉-X₅ ]
l4 [X₉-X₅ ]
l5 [X₉-X₅ ]
l13 [X₉-X₈-1 ]
l6 [X₉-X₈ ]
l7 [X₉-X₅ ]
l10 [X₉-X₅ ]
l9 [X₉-X₅ ]
l8 [X₉-X₅ ]

MPRF for transition t₁₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: X₀ ≤ X₈ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ 1+X₇ ∧ X₈ ≤ X₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₅+X₈ ∧ X₅ ≤ X₈ ∧ 1 ≤ X₁+X₈ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

2⋅X₉ {O(n)}

MPRF:

l2 [2⋅X₉-2⋅X₅ ]
l3 [2⋅X₉-2⋅X₅ ]
l1 [2⋅X₉-2⋅X₅ ]
l4 [2⋅X₉-2⋅X₅ ]
l5 [X₇+2⋅X₉+1-X₁-2⋅X₅ ]
l13 [2⋅X₉-X₁-X₇ ]
l6 [2⋅X₉-X₁-X₇ ]
l7 [X₇+2⋅X₉+1-X₁-2⋅X₅ ]
l10 [2⋅X₉-2⋅X₅ ]
l9 [X₇+2⋅X₉+1-X₁-2⋅X₅ ]
l8 [2⋅X₇+2⋅X₉+2-2⋅X₁-2⋅X₅ ]

MPRF for transition t₁₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉+1 {O(n)}

MPRF:

l2 [X₉+1-X₇ ]
l3 [X₉+1-X₇ ]
l1 [X₁+X₉-2⋅X₇ ]
l4 [X₉+2-X₁ ]
l5 [X₉+2-X₁ ]
l13 [X₉+2-X₁ ]
l6 [X₉+2-X₁ ]
l7 [X₉+2-X₁ ]
l10 [X₉+1-X₇ ]
l9 [X₉+1-X₁ ]
l8 [X₉+1-X₁ ]

MPRF for transition t₂₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: X₄ < 0 ∧ X₄ < 0 ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₅ ]
l3 [X₉-X₅ ]
l1 [X₉-X₅ ]
l4 [X₉-X₅ ]
l5 [X₉-X₅ ]
l13 [X₉-X₁ ]
l6 [X₉-X₁ ]
l7 [X₉-X₅ ]
l10 [X₉-X₅ ]
l9 [X₉-X₅ ]
l8 [X₉-X₅ ]

MPRF for transition t₂₄: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₁, X₁, X₁, X₈, X₉) :|: 0 < X₄ ∧ 0 < X₄ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₅ ]
l3 [X₉-X₅ ]
l1 [X₉-X₅ ]
l4 [X₉-X₅ ]
l5 [X₉-X₅ ]
l13 [X₉-X₁ ]
l6 [X₉-X₁ ]
l7 [X₉-X₅ ]
l10 [X₉-X₅ ]
l9 [X₉-X₅ ]
l8 [X₉-X₅ ]

MPRF for transition t₂₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₀, X₁, X₈, X₉) :|: X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉ {O(n)}

MPRF:

l2 [X₉-X₇ ]
l3 [X₉-X₇ ]
l1 [X₉-X₇ ]
l4 [X₉-X₇ ]
l5 [X₉-X₇ ]
l13 [X₉-X₇-1 ]
l6 [X₉-X₁ ]
l7 [X₉-X₇ ]
l10 [X₉-X₇ ]
l9 [X₉-X₇ ]
l8 [X₉-X₇ ]

MPRF for transition t₂₀: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l8(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₃+X₉ ∧ 1+X₃ ≤ X₉ ∧ 2 ≤ X₁+X₉ ∧ X₁ ≤ X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ 1+X₆ ≤ X₁ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ of depth 1:

new bound:

X₉+1 {O(n)}

MPRF:

l2 [X₉+1-X₇ ]
l3 [X₉+2-X₁ ]
l1 [X₉+1-X₇ ]
l4 [X₁+X₉-2⋅X₇ ]
l5 [X₉+1-X₇ ]
l13 [X₉+1-X₇ ]
l6 [X₉+1-X₇ ]
l7 [X₁+X₉-2⋅X₇ ]
l10 [X₉+1-X₇ ]
l9 [X₉+2-X₁ ]
l8 [X₉+1-X₁ ]

All Bounds

Timebounds

Overall timebound:19⋅X₉+6 {O(n)}
t₀: 1 {O(1)}
t₇: X₉ {O(n)}
t₈: X₉ {O(n)}
t₉: X₉ {O(n)}
t₂: X₉ {O(n)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₃₀: 1 {O(1)}
t₁₇: X₉ {O(n)}
t₄: X₉ {O(n)}
t₆: X₉ {O(n)}
t₁₁: X₉ {O(n)}
t₁₂: X₉ {O(n)}
t₁₃: X₉ {O(n)}
t₁₄: X₉ {O(n)}
t₁₅: X₉ {O(n)}
t₁₆: 2⋅X₉ {O(n)}
t₁₈: X₉+1 {O(n)}
t₂₁: X₉ {O(n)}
t₂₄: X₉ {O(n)}
t₂₉: X₉ {O(n)}
t₂₀: X₉+1 {O(n)}

Costbounds

Overall costbound: 19⋅X₉+6 {O(n)}
t₀: 1 {O(1)}
t₇: X₉ {O(n)}
t₈: X₉ {O(n)}
t₉: X₉ {O(n)}
t₂: X₉ {O(n)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₃₀: 1 {O(1)}
t₁₇: X₉ {O(n)}
t₄: X₉ {O(n)}
t₆: X₉ {O(n)}
t₁₁: X₉ {O(n)}
t₁₂: X₉ {O(n)}
t₁₃: X₉ {O(n)}
t₁₄: X₉ {O(n)}
t₁₅: X₉ {O(n)}
t₁₆: 2⋅X₉ {O(n)}
t₁₈: X₉+1 {O(n)}
t₂₁: X₉ {O(n)}
t₂₄: X₉ {O(n)}
t₂₉: X₉ {O(n)}
t₂₀: X₉+1 {O(n)}

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)}
t₇, X₀: X₉ {O(n)}
t₇, X₁: X₉ {O(n)}
t₇, X₅: 5⋅X₉ {O(n)}
t₇, X₆: 7⋅X₉ {O(n)}
t₇, X₇: X₉ {O(n)}
t₇, X₈: 21⋅X₉+X₈ {O(n)}
t₇, X₉: X₉ {O(n)}
t₈, X₀: X₉ {O(n)}
t₈, X₁: X₉ {O(n)}
t₈, X₅: 5⋅X₉ {O(n)}
t₈, X₆: 7⋅X₉ {O(n)}
t₈, X₇: X₉ {O(n)}
t₈, X₈: 21⋅X₉+X₈ {O(n)}
t₈, X₉: X₉ {O(n)}
t₉, X₀: 7⋅X₉ {O(n)}
t₉, X₁: X₉ {O(n)}
t₉, X₂: 0 {O(1)}
t₉, X₅: 5⋅X₉ {O(n)}
t₉, X₆: 7⋅X₉ {O(n)}
t₉, X₇: X₉ {O(n)}
t₉, X₈: 21⋅X₉+X₈ {O(n)}
t₉, X₉: X₉ {O(n)}
t₂, X₀: 49⋅X₉+X₀ {O(n)}
t₂, X₁: 6⋅X₉+X₁ {O(n)}
t₂, X₅: 5⋅X₉ {O(n)}
t₂, X₆: 7⋅X₉ {O(n)}
t₂, X₇: X₉ {O(n)}
t₂, X₈: 21⋅X₉+X₈ {O(n)}
t₂, X₉: X₉ {O(n)}
t₃, X₀: 49⋅X₉+X₀ {O(n)}
t₃, X₁: 6⋅X₉+X₁ {O(n)}
t₃, X₅: 10⋅X₉ {O(n)}
t₃, X₆: 12⋅X₉ {O(n)}
t₃, X₇: 4⋅X₉ {O(n)}
t₃, X₈: 4⋅X₈+84⋅X₉ {O(n)}
t₃, X₉: 5⋅X₉ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: 0 {O(1)}
t₁, X₆: 0 {O(1)}
t₁, X₇: 0 {O(1)}
t₁, X₈: X₈ {O(n)}
t₁, X₉: X₉ {O(n)}
t₃₀, X₀: 49⋅X₉+X₀ {O(n)}
t₃₀, X₁: 6⋅X₉+X₁ {O(n)}
t₃₀, X₅: 10⋅X₉ {O(n)}
t₃₀, X₆: 12⋅X₉ {O(n)}
t₃₀, X₇: 4⋅X₉ {O(n)}
t₃₀, X₈: 4⋅X₈+84⋅X₉ {O(n)}
t₃₀, X₉: 5⋅X₉ {O(n)}
t₁₇, X₀: 14⋅X₉ {O(n)}
t₁₇, X₁: X₉ {O(n)}
t₁₇, X₅: 10⋅X₉ {O(n)}
t₁₇, X₆: 42⋅X₉ {O(n)}
t₁₇, X₇: 6⋅X₉ {O(n)}
t₁₇, X₈: 11⋅X₉ {O(n)}
t₁₇, X₉: X₉ {O(n)}
t₄, X₀: 49⋅X₉+X₀ {O(n)}
t₄, X₁: X₉ {O(n)}
t₄, X₅: 5⋅X₉ {O(n)}
t₄, X₆: 7⋅X₉ {O(n)}
t₄, X₇: X₉ {O(n)}
t₄, X₈: 21⋅X₉+X₈ {O(n)}
t₄, X₉: X₉ {O(n)}
t₆, X₀: 49⋅X₉+X₀ {O(n)}
t₆, X₁: X₉ {O(n)}
t₆, X₅: 5⋅X₉ {O(n)}
t₆, X₆: 7⋅X₉ {O(n)}
t₆, X₇: X₉ {O(n)}
t₆, X₈: 21⋅X₉+X₈ {O(n)}
t₆, X₉: X₉ {O(n)}
t₁₁, X₀: 7⋅X₉ {O(n)}
t₁₁, X₁: X₉ {O(n)}
t₁₁, X₅: 5⋅X₉ {O(n)}
t₁₁, X₆: 21⋅X₉ {O(n)}
t₁₁, X₇: 3⋅X₉ {O(n)}
t₁₁, X₈: 21⋅X₉+X₈ {O(n)}
t₁₁, X₉: X₉ {O(n)}
t₁₂, X₀: 7⋅X₉ {O(n)}
t₁₂, X₁: X₉ {O(n)}
t₁₂, X₅: 5⋅X₉ {O(n)}
t₁₂, X₆: 21⋅X₉ {O(n)}
t₁₂, X₇: 3⋅X₉ {O(n)}
t₁₂, X₈: 5⋅X₉ {O(n)}
t₁₂, X₉: X₉ {O(n)}
t₁₃, X₀: 7⋅X₉ {O(n)}
t₁₃, X₁: X₉ {O(n)}
t₁₃, X₅: 5⋅X₉ {O(n)}
t₁₃, X₆: 21⋅X₉ {O(n)}
t₁₃, X₇: 3⋅X₉ {O(n)}
t₁₃, X₈: 5⋅X₉ {O(n)}
t₁₃, X₉: X₉ {O(n)}
t₁₄, X₀: 7⋅X₉ {O(n)}
t₁₄, X₁: X₉ {O(n)}
t₁₄, X₃: 0 {O(1)}
t₁₄, X₅: 5⋅X₉ {O(n)}
t₁₄, X₆: 21⋅X₉ {O(n)}
t₁₄, X₇: 3⋅X₉ {O(n)}
t₁₄, X₈: 21⋅X₉+X₈ {O(n)}
t₁₄, X₉: X₉ {O(n)}
t₁₅, X₀: 14⋅X₉ {O(n)}
t₁₅, X₁: X₉ {O(n)}
t₁₅, X₅: 10⋅X₉ {O(n)}
t₁₅, X₆: 42⋅X₉ {O(n)}
t₁₅, X₇: 6⋅X₉ {O(n)}
t₁₅, X₈: 11⋅X₉ {O(n)}
t₁₅, X₉: X₉ {O(n)}
t₁₆, X₀: 28⋅X₉ {O(n)}
t₁₆, X₁: 3⋅X₉ {O(n)}
t₁₆, X₅: 3⋅X₉ {O(n)}
t₁₆, X₆: 3⋅X₉ {O(n)}
t₁₆, X₇: X₉ {O(n)}
t₁₆, X₈: 21⋅X₉ {O(n)}
t₁₆, X₉: X₉ {O(n)}
t₁₈, X₀: 7⋅X₉ {O(n)}
t₁₈, X₁: X₉ {O(n)}
t₁₈, X₃: 0 {O(1)}
t₁₈, X₅: 5⋅X₉ {O(n)}
t₁₈, X₆: 21⋅X₉ {O(n)}
t₁₈, X₇: 3⋅X₉ {O(n)}
t₁₈, X₈: 21⋅X₉+X₈ {O(n)}
t₁₈, X₉: X₉ {O(n)}
t₂₁, X₀: 7⋅X₉ {O(n)}
t₂₁, X₁: X₉ {O(n)}
t₂₁, X₃: 0 {O(1)}
t₂₁, X₅: X₉ {O(n)}
t₂₁, X₆: X₉ {O(n)}
t₂₁, X₇: X₉ {O(n)}
t₂₁, X₈: 21⋅X₉+X₈ {O(n)}
t₂₁, X₉: X₉ {O(n)}
t₂₄, X₀: 7⋅X₉ {O(n)}
t₂₄, X₁: X₉ {O(n)}
t₂₄, X₃: 0 {O(1)}
t₂₄, X₅: X₉ {O(n)}
t₂₄, X₆: X₉ {O(n)}
t₂₄, X₇: X₉ {O(n)}
t₂₄, X₈: 21⋅X₉+X₈ {O(n)}
t₂₄, X₉: X₉ {O(n)}
t₂₉, X₀: 7⋅X₉ {O(n)}
t₂₉, X₁: X₉ {O(n)}
t₂₉, X₃: 0 {O(1)}
t₂₉, X₄: 0 {O(1)}
t₂₉, X₅: 5⋅X₉ {O(n)}
t₂₉, X₆: 7⋅X₉ {O(n)}
t₂₉, X₇: X₉ {O(n)}
t₂₉, X₈: 21⋅X₉+X₈ {O(n)}
t₂₉, X₉: X₉ {O(n)}
t₂₀, X₀: 7⋅X₉ {O(n)}
t₂₀, X₁: X₉ {O(n)}
t₂₀, X₃: 0 {O(1)}
t₂₀, X₅: 5⋅X₉ {O(n)}
t₂₀, X₆: 21⋅X₉ {O(n)}
t₂₀, X₇: 3⋅X₉ {O(n)}
t₂₀, X₈: 21⋅X₉+X₈ {O(n)}
t₂₀, X₉: X₉ {O(n)}