Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: K, L
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l1(0, K, L, 0, X₄, X₅, X₆, X₇, X₈, X₉)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃+1 ≤ X₄
t₁₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l2(X₀, X₁, X₂, X₃, X₄, 0, X₆, X₇, X₈, X₉) :|: X₄ ≤ X₃
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l2(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, X₉) :|: X₅+1 ≤ X₄
t₁₅: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l3(X₀, X₁, X₂, X₃, X₄, X₅, 0, X₇, X₈, X₉) :|: X₄ ≤ X₅
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆+1, X₇, X₈, X₉) :|: X₆+1 ≤ X₄
t₁₄: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ X₆
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l4(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀+1 ≤ X₄
t₁₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, X₉) :|: X₄ ≤ X₀
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇+1, X₈, X₉) :|: X₇+1 ≤ X₄
t₁₂: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0, X₉) :|: X₄ ≤ X₇
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈+1, X₉) :|: X₈+1 ≤ X₄
t₁₁: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 0) :|: X₄ ≤ X₈
t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉+1) :|: X₉+1 ≤ X₄
t₁₀: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l8(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ X₉
t₈: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l8(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀+1 ≤ X₄
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ X₀
Preprocessing
Eliminate variables {K,L,X₁,X₂} that do not contribute to the problem
Found invariant X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2
Found invariant X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l6
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l7
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l5
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₂ ≤ X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l8
Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1
Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l4
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₂ ≤ X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l9
Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ 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:
t₄₁: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(0, 0, X₂, X₃, X₄, X₅, X₆, X₇)
t₄₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁+1 ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, 0, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆, X₇) :|: X₃+1 ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄₅: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, 0, X₅, X₆, X₇) :|: X₂ ≤ X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆, X₇) :|: X₄+1 ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄₇: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄₈: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+1 ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₄₉: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, 0, X₆, X₇) :|: X₂ ≤ X₀ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₀: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆, X₇) :|: X₅+1 ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₁: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₃, X₄, X₅, 0, X₇) :|: X₂ ≤ X₅ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆+1, X₇) :|: X₆+1 ≤ X₂ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0) :|: X₂ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇+1) :|: X₇+1 ≤ X₂ ∧ X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₅: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l8(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₇ ∧ X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₆: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l8(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+1 ≤ X₂ ∧ X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₂ ≤ X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅₇: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₀ ∧ X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₂ ≤ X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
MPRF for transition t₄₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁+1 ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:
new bound:
X₂ {O(n)}
MPRF for transition t₄₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆, X₇) :|: X₃+1 ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:
new bound:
X₂+1 {O(n)}
MPRF for transition t₄₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆, X₇) :|: X₄+1 ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:
new bound:
X₂+2 {O(n)}
MPRF for transition t₄₈: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+1 ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
X₂+3 {O(n)}
MPRF for transition t₅₀: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆, X₇) :|: X₅+1 ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
2⋅X₂+5 {O(n)}
MPRF for transition t₅₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆+1, X₇) :|: X₆+1 ≤ X₂ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
2⋅X₂+6 {O(n)}
MPRF for transition t₅₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇+1) :|: X₇+1 ≤ X₂ ∧ X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
8⋅X₂+17 {O(n)}
MPRF for transition t₅₆: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l8(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+1 ≤ X₂ ∧ X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₇ ≤ X₃ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₂ ≤ X₇ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₁+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₂ ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
64⋅X₂+1 {O(n)}
All Bounds
Timebounds
Overall timebound:80⋅X₂+44 {O(n)}
t₄₁: 1 {O(1)}
t₄₂: X₂ {O(n)}
t₄₃: 1 {O(1)}
t₄₄: X₂+1 {O(n)}
t₄₅: 1 {O(1)}
t₄₆: X₂+2 {O(n)}
t₄₇: 1 {O(1)}
t₄₈: X₂+3 {O(n)}
t₄₉: 1 {O(1)}
t₅₀: 2⋅X₂+5 {O(n)}
t₅₁: 1 {O(1)}
t₅₂: 2⋅X₂+6 {O(n)}
t₅₃: 1 {O(1)}
t₅₄: 8⋅X₂+17 {O(n)}
t₅₅: 1 {O(1)}
t₅₆: 64⋅X₂+1 {O(n)}
t₅₇: 1 {O(1)}
Costbounds
Overall costbound: 80⋅X₂+44 {O(n)}
t₄₁: 1 {O(1)}
t₄₂: X₂ {O(n)}
t₄₃: 1 {O(1)}
t₄₄: X₂+1 {O(n)}
t₄₅: 1 {O(1)}
t₄₆: X₂+2 {O(n)}
t₄₇: 1 {O(1)}
t₄₈: X₂+3 {O(n)}
t₄₉: 1 {O(1)}
t₅₀: 2⋅X₂+5 {O(n)}
t₅₁: 1 {O(1)}
t₅₂: 2⋅X₂+6 {O(n)}
t₅₃: 1 {O(1)}
t₅₄: 8⋅X₂+17 {O(n)}
t₅₅: 1 {O(1)}
t₅₆: 64⋅X₂+1 {O(n)}
t₅₇: 1 {O(1)}
Sizebounds
t₄₁, X₀: 0 {O(1)}
t₄₁, X₁: 0 {O(1)}
t₄₁, X₂: X₂ {O(n)}
t₄₁, X₃: X₃ {O(n)}
t₄₁, X₄: X₄ {O(n)}
t₄₁, X₅: X₅ {O(n)}
t₄₁, X₆: X₆ {O(n)}
t₄₁, X₇: X₇ {O(n)}
t₄₂, X₀: 0 {O(1)}
t₄₂, X₁: X₂ {O(n)}
t₄₂, X₂: X₂ {O(n)}
t₄₂, X₃: X₃ {O(n)}
t₄₂, X₄: X₄ {O(n)}
t₄₂, X₅: X₅ {O(n)}
t₄₂, X₆: X₆ {O(n)}
t₄₂, X₇: X₇ {O(n)}
t₄₃, X₀: 0 {O(1)}
t₄₃, X₁: X₂ {O(n)}
t₄₃, X₂: 2⋅X₂ {O(n)}
t₄₃, X₃: 0 {O(1)}
t₄₃, X₄: 2⋅X₄ {O(n)}
t₄₃, X₅: 2⋅X₅ {O(n)}
t₄₃, X₆: 2⋅X₆ {O(n)}
t₄₃, X₇: 2⋅X₇ {O(n)}
t₄₄, X₀: 0 {O(1)}
t₄₄, X₁: X₂ {O(n)}
t₄₄, X₂: 2⋅X₂ {O(n)}
t₄₄, X₃: X₂+1 {O(n)}
t₄₄, X₄: 2⋅X₄ {O(n)}
t₄₄, X₅: 2⋅X₅ {O(n)}
t₄₄, X₆: 2⋅X₆ {O(n)}
t₄₄, X₇: 2⋅X₇ {O(n)}
t₄₅, X₀: 0 {O(1)}
t₄₅, X₁: 2⋅X₂ {O(n)}
t₄₅, X₂: 4⋅X₂ {O(n)}
t₄₅, X₃: X₂+1 {O(n)}
t₄₅, X₄: 0 {O(1)}
t₄₅, X₅: 4⋅X₅ {O(n)}
t₄₅, X₆: 4⋅X₆ {O(n)}
t₄₅, X₇: 4⋅X₇ {O(n)}
t₄₆, X₀: 0 {O(1)}
t₄₆, X₁: 2⋅X₂ {O(n)}
t₄₆, X₂: 4⋅X₂ {O(n)}
t₄₆, X₃: X₂+1 {O(n)}
t₄₆, X₄: X₂+2 {O(n)}
t₄₆, X₅: 4⋅X₅ {O(n)}
t₄₆, X₆: 4⋅X₆ {O(n)}
t₄₆, X₇: 4⋅X₇ {O(n)}
t₄₇, X₀: 0 {O(1)}
t₄₇, X₁: 4⋅X₂ {O(n)}
t₄₇, X₂: 8⋅X₂ {O(n)}
t₄₇, X₃: 2⋅X₂+2 {O(n)}
t₄₇, X₄: X₂+2 {O(n)}
t₄₇, X₅: 8⋅X₅ {O(n)}
t₄₇, X₆: 8⋅X₆ {O(n)}
t₄₇, X₇: 8⋅X₇ {O(n)}
t₄₈, X₀: X₂+3 {O(n)}
t₄₈, X₁: 4⋅X₂ {O(n)}
t₄₈, X₂: 8⋅X₂ {O(n)}
t₄₈, X₃: 2⋅X₂+2 {O(n)}
t₄₈, X₄: X₂+2 {O(n)}
t₄₈, X₅: 8⋅X₅ {O(n)}
t₄₈, X₆: 8⋅X₆ {O(n)}
t₄₈, X₇: 8⋅X₇ {O(n)}
t₄₉, X₀: X₂+3 {O(n)}
t₄₉, X₁: 8⋅X₂ {O(n)}
t₄₉, X₂: 16⋅X₂ {O(n)}
t₄₉, X₃: 4⋅X₂+4 {O(n)}
t₄₉, X₄: 2⋅X₂+4 {O(n)}
t₄₉, X₅: 0 {O(1)}
t₄₉, X₆: 16⋅X₆ {O(n)}
t₄₉, X₇: 16⋅X₇ {O(n)}
t₅₀, X₀: X₂+3 {O(n)}
t₅₀, X₁: 8⋅X₂ {O(n)}
t₅₀, X₂: 16⋅X₂ {O(n)}
t₅₀, X₃: 4⋅X₂+4 {O(n)}
t₅₀, X₄: 2⋅X₂+4 {O(n)}
t₅₀, X₅: 2⋅X₂+5 {O(n)}
t₅₀, X₆: 16⋅X₆ {O(n)}
t₅₀, X₇: 16⋅X₇ {O(n)}
t₅₁, X₀: 2⋅X₂+6 {O(n)}
t₅₁, X₁: 16⋅X₂ {O(n)}
t₅₁, X₂: 32⋅X₂ {O(n)}
t₅₁, X₃: 8⋅X₂+8 {O(n)}
t₅₁, X₄: 4⋅X₂+8 {O(n)}
t₅₁, X₅: 2⋅X₂+5 {O(n)}
t₅₁, X₆: 0 {O(1)}
t₅₁, X₇: 32⋅X₇ {O(n)}
t₅₂, X₀: 2⋅X₂+6 {O(n)}
t₅₂, X₁: 16⋅X₂ {O(n)}
t₅₂, X₂: 32⋅X₂ {O(n)}
t₅₂, X₃: 8⋅X₂+8 {O(n)}
t₅₂, X₄: 4⋅X₂+8 {O(n)}
t₅₂, X₅: 2⋅X₂+5 {O(n)}
t₅₂, X₆: 2⋅X₂+6 {O(n)}
t₅₂, X₇: 32⋅X₇ {O(n)}
t₅₃, X₀: 4⋅X₂+12 {O(n)}
t₅₃, X₁: 32⋅X₂ {O(n)}
t₅₃, X₂: 64⋅X₂ {O(n)}
t₅₃, X₃: 16⋅X₂+16 {O(n)}
t₅₃, X₄: 8⋅X₂+16 {O(n)}
t₅₃, X₅: 4⋅X₂+10 {O(n)}
t₅₃, X₆: 2⋅X₂+6 {O(n)}
t₅₃, X₇: 0 {O(1)}
t₅₄, X₀: 4⋅X₂+12 {O(n)}
t₅₄, X₁: 32⋅X₂ {O(n)}
t₅₄, X₂: 64⋅X₂ {O(n)}
t₅₄, X₃: 16⋅X₂+16 {O(n)}
t₅₄, X₄: 8⋅X₂+16 {O(n)}
t₅₄, X₅: 4⋅X₂+10 {O(n)}
t₅₄, X₆: 2⋅X₂+6 {O(n)}
t₅₄, X₇: 8⋅X₂+17 {O(n)}
t₅₅, X₀: 0 {O(1)}
t₅₅, X₁: 64⋅X₂ {O(n)}
t₅₅, X₂: 128⋅X₂ {O(n)}
t₅₅, X₃: 32⋅X₂+32 {O(n)}
t₅₅, X₄: 16⋅X₂+32 {O(n)}
t₅₅, X₅: 8⋅X₂+20 {O(n)}
t₅₅, X₆: 4⋅X₂+12 {O(n)}
t₅₅, X₇: 8⋅X₂+17 {O(n)}
t₅₆, X₀: 64⋅X₂+1 {O(n)}
t₅₆, X₁: 64⋅X₂ {O(n)}
t₅₆, X₂: 128⋅X₂ {O(n)}
t₅₆, X₃: 32⋅X₂+32 {O(n)}
t₅₆, X₄: 16⋅X₂+32 {O(n)}
t₅₆, X₅: 8⋅X₂+20 {O(n)}
t₅₆, X₆: 4⋅X₂+12 {O(n)}
t₅₆, X₇: 8⋅X₂+17 {O(n)}
t₅₇, X₀: 64⋅X₂+1 {O(n)}
t₅₇, X₁: 128⋅X₂ {O(n)}
t₅₇, X₂: 256⋅X₂ {O(n)}
t₅₇, X₃: 64⋅X₂+64 {O(n)}
t₅₇, X₄: 32⋅X₂+64 {O(n)}
t₅₇, X₅: 16⋅X₂+40 {O(n)}
t₅₇, X₆: 8⋅X₂+24 {O(n)}
t₅₇, X₇: 16⋅X₂+34 {O(n)}