Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₆, X₇, X₆, X₇) :|: X₂ ≤ X₇
t₁₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇+1 ≤ X₂
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄+1 ≤ X₁
t₈: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₄
t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₄+1, X₅)
t₁₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇+1)
t₁₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₅+1, X₄, X₅, X₆, X₇)
t₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, 0, X₃, X₆, X₇) :|: X₃+1 ≤ X₀
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ X₃
t₁₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, 0, X₄, X₅, X₆, X₇) :|: 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₂
t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+1 ≤ 0
t₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁+1 ≤ 0
t₄: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂+1 ≤ 0

Preprocessing

Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l2

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l6

Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l5

Found invariant 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l1

Found invariant 1+X₇ ≤ X₂ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l4

Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₆, X₇, X₆, X₇) :|: X₂ ≤ X₇ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇+1 ≤ X₂ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄+1 ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₈: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₄+1, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇+1) :|: 1+X₇ ≤ X₂ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₅+1, X₄, X₅, X₆, X₇) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, 0, X₃, X₆, X₇) :|: X₃+1 ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, 0, X₄, X₅, X₆, X₇) :|: 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₂
t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+1 ≤ 0
t₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁+1 ≤ 0
t₄: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂+1 ≤ 0

MPRF for transition t₁₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇+1 ≤ X₂ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₂+1 {O(n)}

MPRF:

l3 [X₂+1-X₅ ]
l4 [X₂-X₇ ]
l1 [X₂+1-X₇ ]
l5 [X₂-X₅ ]
l6 [X₂+1-X₃ ]
l2 [X₂+1-X₅ ]

MPRF for transition t₈: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₀+1 {O(n)}

MPRF:

l3 [X₀+1-X₃ ]
l4 [X₀+1-X₃ ]
l1 [X₀+1-X₃ ]
l5 [X₀-X₅ ]
l6 [X₀+1-X₃ ]
l2 [X₀+1-X₃ ]

MPRF for transition t₁₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇+1) :|: 1+X₇ ≤ X₂ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₂ {O(n)}

MPRF:

l3 [X₂-X₅ ]
l4 [X₂-X₇ ]
l1 [X₂-X₇ ]
l5 [X₂-X₅ ]
l6 [X₂-X₃ ]
l2 [X₂-X₅ ]

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

new bound:

X₀ {O(n)}

MPRF:

l3 [X₀-X₃ ]
l4 [X₀-X₃ ]
l1 [X₀-X₃ ]
l5 [X₀-X₃ ]
l6 [X₀-X₃ ]
l2 [X₀-X₃ ]

MPRF for transition t₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, 0, X₃, X₆, X₇) :|: X₃+1 ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:

new bound:

X₀+1 {O(n)}

MPRF:

l3 [X₀-X₅ ]
l4 [X₀-X₅ ]
l1 [X₀-X₅ ]
l5 [X₀-X₅ ]
l6 [X₀+1-X₃ ]
l2 [X₀-X₅ ]

MPRF for transition t₁₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₆, X₇, X₆, X₇) :|: X₂ ≤ X₇ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₀⋅X₁+X₁ {O(n^2)}

MPRF:

l2 [X₁-X₄ ]
l3 [X₁-X₄ ]
l4 [X₁-X₄ ]
l1 [X₁-X₄ ]
l5 [0 ]
l6 [0 ]

MPRF for transition t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄+1 ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₀⋅X₁+X₁ {O(n^2)}

MPRF:

l2 [X₁-X₄ ]
l3 [X₁-X₄-1 ]
l4 [X₁-X₄-1 ]
l1 [X₁-X₄-1 ]
l5 [X₁-X₄ ]
l6 [0 ]

MPRF for transition t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₄+1, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

2⋅X₀⋅X₁+2⋅X₁+X₀+1 {O(n^2)}

MPRF:

l2 [2⋅X₁-X₄-1 ]
l3 [2⋅X₁-X₄-1 ]
l4 [2⋅X₁-X₄-2 ]
l1 [2⋅X₁-X₄-2 ]
l5 [2⋅X₁-X₄-1 ]
l6 [X₁-1 ]

Analysing control-flow refined program

Cut unsatisfiable transition t₁₁₈: n_l1___5→l4

Found invariant X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l2

Found invariant X₇ ≤ X₅ ∧ X₇ ≤ X₂ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l2___7

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l6

Found invariant X₇ ≤ X₅ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 3 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l3___3

Found invariant X₇ ≤ X₅ ∧ X₇ ≤ X₂ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 3 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 3 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l3___6

Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l5

Found invariant X₇ ≤ X₅ ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 4 ≤ X₁+X₆ ∧ 3 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l1___5

Found invariant X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l3___2

Found invariant X₇ ≤ X₂ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1+X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 1 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l1

Found invariant 1+X₇ ≤ X₂ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 1 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l4

Found invariant X₇ ≤ X₅ ∧ X₇ ≤ X₃ ∧ 1+X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 1 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l1___1

Found invariant X₇ ≤ X₅ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l2___4

knowledge_propagation leads to new time bound X₂ {O(n)} for transition t₁₀₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l2___7(X₀, X₁, X₂, X₃, X₄+1, X₇, X₄+1, X₇) :|: 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ X₅ ≤ X₇ ∧ X₃ ≤ X₅ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1+X₃ ≤ X₀ ∧ X₄+1 ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ 1+X₄ ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ 0 ≤ X₃ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ X₃ ≤ X₅ ∧ 1+X₅ ≤ X₇ ∧ X₇ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ X₅ ≤ X₇ ∧ X₂ ≤ X₇ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ X₄+1 ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ X₇ ≤ X₂ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1+X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 1 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₁₀₈: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l3___2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₂ ∧ 0 ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀

knowledge_propagation leads to new time bound X₂ {O(n)} for transition t₁₀₇: n_l2___7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l3___6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₂ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₇ ∧ X₇ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₅ ≤ X₂ ∧ X₄ ≤ X₆ ∧ X₆ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₂ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀

knowledge_propagation leads to new time bound X₂ {O(n)} for transition t₁₂₀: n_l2___7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₂ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₁₀₉: n_l3___2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l1___1(X₀, X₁, X₂, X₃, X₄, X₅, X₄+1, X₅) :|: 0 ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀

knowledge_propagation leads to new time bound X₂ {O(n)} for transition t₁₁₁: n_l3___6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l1___5(X₀, X₁, X₂, X₃, X₄, X₅, X₄+1, X₅) :|: 1+X₃ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₇ ∧ X₇ ≤ X₂ ∧ X₂ ≤ X₅ ∧ X₅ ≤ X₂ ∧ X₄ ≤ X₆ ∧ X₆ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₂ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1+X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 3 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ 1+X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 3 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₁₀₃: n_l1___1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l2___4(X₀, X₁, X₂, X₃, X₄+1, X₇, X₄+1, X₇) :|: 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ X₅ ≤ X₇ ∧ X₃ ≤ X₅ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1+X₃ ≤ X₀ ∧ X₄+1 ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ X₅ ≤ X₇ ∧ X₇ ≤ X₅ ∧ 1+X₄ ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ 0 ≤ X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₆ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ X₅ ≤ X₇ ∧ X₂ ≤ X₇ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ X₄+1 ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₃ ∧ 1+X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 1 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₁₁₇: n_l1___1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇+1 ≤ X₂ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₃ ∧ 1+X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 1 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₂ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀

MPRF for transition t₁₀₄: n_l1___5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l2___4(X₀, X₁, X₂, X₃, X₄+1, X₇, X₄+1, X₇) :|: X₂ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ X₅ ≤ X₇ ∧ X₃ ≤ X₅ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1+X₃ ≤ X₀ ∧ X₄+1 ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ 1+X₄ ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₇ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₇ ∧ X₅ ≤ X₇ ∧ X₇ ≤ X₅ ∧ 1+X₄ ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ 0 ≤ X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₆ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ X₅ ≤ X₇ ∧ X₂ ≤ X₇ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ X₄+1 ≤ X₆ ∧ X₆ ≤ 1+X₄ ∧ X₇ ≤ X₅ ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1+X₄ ∧ X₆ ≤ X₁ ∧ 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 4 ≤ X₁+X₆ ∧ 3 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

2⋅X₀⋅X₁+3⋅X₁+4⋅X₀+4 {O(n^2)}

MPRF:

n_l3___2 [X₁ ]
l1 [2⋅X₁ ]
l6 [X₁ ]
l2 [X₁ ]
n_l1___1 [2⋅X₁+1-X₆ ]
l4 [2⋅X₁ ]
n_l2___4 [2⋅X₁-X₄ ]
n_l2___7 [2⋅X₁ ]
l5 [X₄ ]
n_l3___3 [2⋅X₁-X₄ ]
n_l3___6 [2⋅X₁ ]
n_l1___5 [2⋅X₁-X₄ ]

MPRF for transition t₁₀₆: n_l2___4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l3___3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1+X₃ ≤ X₀ ∧ X₄ ≤ X₆ ∧ X₆ ≤ X₄ ∧ X₅ ≤ X₇ ∧ X₇ ≤ X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₅ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₀⋅X₁+X₀+X₁+1 {O(n^2)}

MPRF:

n_l3___2 [0 ]
l1 [X₁ ]
l6 [0 ]
l2 [0 ]
n_l1___1 [X₁ ]
l4 [X₁ ]
n_l2___4 [X₁+1-X₄ ]
n_l2___7 [X₁ ]
l5 [0 ]
n_l3___3 [X₁-X₄ ]
n_l3___6 [X₁ ]
n_l1___5 [X₁-X₄ ]

MPRF for transition t₁₁₉: n_l2___4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ ∧ X₇ ≤ X₅ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₀ {O(n)}

MPRF:

l1 [X₀-X₅ ]
l6 [X₀-X₃ ]
l2 [X₀-X₅ ]
l4 [X₀-X₃ ]
n_l2___4 [X₀-X₃ ]
n_l2___7 [X₀-X₃ ]
l5 [X₀-X₃-1 ]
n_l3___2 [X₀-X₃ ]
n_l1___1 [X₀-X₅ ]
n_l3___3 [X₀-X₃ ]
n_l3___6 [X₀-X₃ ]
n_l1___5 [X₀-X₃ ]

MPRF for transition t₁₁₀: n_l3___3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → n_l1___5(X₀, X₁, X₂, X₃, X₄, X₅, X₄+1, X₅) :|: X₂ ≤ X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1+X₃ ≤ X₀ ∧ X₄ ≤ X₆ ∧ X₆ ≤ X₄ ∧ X₅ ≤ X₇ ∧ X₇ ≤ X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₅ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 3 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₀⋅X₁+3⋅X₀+X₁+3 {O(n^2)}

MPRF:

n_l3___2 [0 ]
l1 [X₁ ]
l6 [0 ]
l2 [0 ]
n_l1___1 [X₁+1-X₆ ]
l4 [X₁ ]
n_l2___4 [X₁-X₄ ]
n_l2___7 [X₁ ]
l5 [0 ]
n_l3___3 [X₁-X₄ ]
n_l3___6 [X₁ ]
n_l1___5 [X₁-X₄-1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:4⋅X₀⋅X₁+2⋅X₂+4⋅X₀+4⋅X₁+11 {O(n^2)}
t₀: 1 {O(1)}
t₁₀: X₂+1 {O(n)}
t₁₁: X₀⋅X₁+X₁ {O(n^2)}
t₇: X₀⋅X₁+X₁ {O(n^2)}
t₈: X₀+1 {O(n)}
t₉: 2⋅X₀⋅X₁+2⋅X₁+X₀+1 {O(n^2)}
t₁₂: X₂ {O(n)}
t₁₃: X₀ {O(n)}
t₅: X₀+1 {O(n)}
t₆: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}

Costbounds

Overall costbound: 4⋅X₀⋅X₁+2⋅X₂+4⋅X₀+4⋅X₁+11 {O(n^2)}
t₀: 1 {O(1)}
t₁₀: X₂+1 {O(n)}
t₁₁: X₀⋅X₁+X₁ {O(n^2)}
t₇: X₀⋅X₁+X₁ {O(n^2)}
t₈: X₀+1 {O(n)}
t₉: 2⋅X₀⋅X₁+2⋅X₁+X₀+1 {O(n^2)}
t₁₂: X₂ {O(n)}
t₁₃: X₀ {O(n)}
t₅: X₀+1 {O(n)}
t₆: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 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)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₀+X₂ {O(n)}
t₁₀, X₄: X₀⋅X₁+X₁ {O(n^2)}
t₁₀, X₅: X₀+X₂ {O(n)}
t₁₀, X₆: X₀⋅X₁+X₁+1 {O(n^2)}
t₁₀, X₇: X₀+X₂ {O(n)}
t₁₁, X₀: X₀ {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₀+X₂ {O(n)}
t₁₁, X₄: X₀⋅X₁+X₁ {O(n^2)}
t₁₁, X₅: X₀+X₂ {O(n)}
t₁₁, X₆: 2⋅X₀⋅X₁+2⋅X₁+2 {O(n^2)}
t₁₁, X₇: 2⋅X₀+2⋅X₂ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₀+X₂ {O(n)}
t₇, X₄: X₀⋅X₁+X₁ {O(n^2)}
t₇, X₅: X₀+X₂ {O(n)}
t₇, X₆: 4⋅X₀⋅X₁+4⋅X₁+X₆+4 {O(n^2)}
t₇, X₇: 4⋅X₀+4⋅X₂+X₇ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: 2⋅X₀+2⋅X₂ {O(n)}
t₈, X₄: X₀⋅X₁+X₁ {O(n^2)}
t₈, X₅: X₀+X₂ {O(n)}
t₈, X₆: 2⋅X₀⋅X₁+2⋅X₁+X₆+2 {O(n^2)}
t₈, X₇: 2⋅X₀+2⋅X₂+X₇ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₀+X₂ {O(n)}
t₉, X₄: X₀⋅X₁+X₁ {O(n^2)}
t₉, X₅: X₀+X₂ {O(n)}
t₉, X₆: X₀⋅X₁+X₁+1 {O(n^2)}
t₉, X₇: X₀+X₂ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₀+X₂ {O(n)}
t₁₂, X₄: X₀⋅X₁+X₁ {O(n^2)}
t₁₂, X₅: X₀+X₂ {O(n)}
t₁₂, X₆: X₀⋅X₁+X₁+1 {O(n^2)}
t₁₂, X₇: X₀+X₂ {O(n)}
t₁₃, X₀: X₀ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₀+X₂ {O(n)}
t₁₃, X₄: X₀⋅X₁+X₁ {O(n^2)}
t₁₃, X₅: X₀+X₂ {O(n)}
t₁₃, X₆: 2⋅X₀⋅X₁+2⋅X₁+X₆+2 {O(n^2)}
t₁₃, X₇: 2⋅X₀+2⋅X₂+X₇ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₀+X₂ {O(n)}
t₅, X₄: 0 {O(1)}
t₅, X₅: X₀+X₂ {O(n)}
t₅, X₆: 2⋅X₀⋅X₁+2⋅X₁+X₆+2 {O(n^2)}
t₅, X₇: 2⋅X₀+2⋅X₂+X₇ {O(n)}
t₆, X₀: 2⋅X₀ {O(n)}
t₆, X₁: 2⋅X₁ {O(n)}
t₆, X₂: 2⋅X₂ {O(n)}
t₆, X₃: X₀+X₂ {O(n)}
t₆, X₄: X₀⋅X₁+X₁+X₄ {O(n^2)}
t₆, X₅: X₀+X₂+X₅ {O(n)}
t₆, X₆: 2⋅X₀⋅X₁+2⋅X₁+2⋅X₆+2 {O(n^2)}
t₆, X₇: 2⋅X₀+2⋅X₂+2⋅X₇ {O(n)}
t₁₄, X₀: 5⋅X₀ {O(n)}
t₁₄, X₁: 5⋅X₁ {O(n)}
t₁₄, X₂: 5⋅X₂ {O(n)}
t₁₄, X₃: 3⋅X₃+X₀+X₂ {O(n)}
t₁₄, X₄: X₀⋅X₁+4⋅X₄+X₁ {O(n^2)}
t₁₄, X₅: 4⋅X₅+X₀+X₂ {O(n)}
t₁₄, X₆: 2⋅X₀⋅X₁+2⋅X₁+5⋅X₆+2 {O(n^2)}
t₁₄, X₇: 2⋅X₀+2⋅X₂+5⋅X₇ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: 0 {O(1)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₇ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}