Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂
Temp_Vars: A1, B1, C1, X, Y, Z
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l1(1, X, Y, Z, A1, B1, C1, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀
t₃: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l2(X₀, X, Y, Z, A1, B1, C1, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: X₀ ≤ 0
t₄: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l2(X₀, X, Y, Z, A1, B1, C1, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 2 ≤ X₀
t₂₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 1+X₇ ≤ X₈
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: X₈ ≤ X₇
t₅: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₇+2-X₈, 1, 0, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: X₈ ≤ 0 ∧ X₈ ≤ X₇
t₆: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₇+2-X₈, 1, 0, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 2 ≤ X₈ ∧ X₈ ≤ X₇
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1, X₉, X₁₀, X₁₁, 1, 1, 0, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 1 ≤ X₇ ∧ X₈ ≤ 1 ∧ 1 ≤ X₈
t₁₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 2+X₀ ≤ 0 ∧ 1+X₇ ≤ X₈
t₂₀: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 0 ≤ X₀ ∧ 1+X₇ ≤ X₈
t₂₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l5(-1, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 1+X₇ ≤ X₈ ∧ X₀+1 ≤ 0 ∧ 0 ≤ 1+X₀
t₂₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈+1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 1+X₉ ≤ X₁₀
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀+1, X₁₁+2, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: X₁₀ ≤ X₉
t₁₈: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈+1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ 2+X ≤ X₁₆
t₈: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ X₁₆ ≤ X+1
t₁₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l4(X₀, X₁, X₂, X₃, X₁₃, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X, Y, X₁₅, X₁₆+1, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂+2) :|: 1+X₉ ≤ X₁₀
t₁₁: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀+1, X, X₁₂, X₁₃, X₁₄, X₁₅, 1, Y, Z, A1, B1, X₂₁, X₂₂) :|: X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆
t₁₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀+1, X, X₁₂, X₁₃, X₁₄, X₁₅, 1, Y, Z, A1, B1, X₂₁, X₂₂) :|: X₁₀ ≤ X₉ ∧ 2 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆
t₁₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, 2, 1, X₁₂, X₁₃, X₁₄, X₁₅, 1, X, Y, Z, A1, X₂₁, X₂₂) :|: 1 ≤ X₉ ∧ X₁₀ ≤ 1 ∧ 1 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆
t₉: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: X₁₆ ≤ 0 ∧ X₁₀ ≤ X₉
t₁₀: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 2 ≤ X₁₆ ∧ X₁₀ ≤ X₉
t₁₄: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀+1, X₉+2-X₁₀, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X, Y, Z, A1, B1, X₂₂) :|: X₁₀ ≤ 0
t₁₅: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀+1, X₉+2-X₁₀, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X, Y, Z, A1, B1, X₂₂) :|: 2 ≤ X₁₀
t₁₆: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, 2, 1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X, Y, Z, A1, B1, X₂₂) :|: X₁₀ ≤ 1 ∧ 1 ≤ X₁₀
Preprocessing
Eliminate variables {A1,B1,C1,Y,Z,X₁,X₂,X₃,X₄,X₅,X₆,X₁₁,X₁₂,X₁₃,X₁₄,X₁₇,X₁₈,X₁₉,X₂₀,X₂₁,X₂₂} that do not contribute to the problem
Found invariant X₈ ≤ X₇ for location l6
Found invariant X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ for location l7
Found invariant 1+X₇ ≤ X₈ for location l5
Found invariant X₀ ≤ 1 ∧ 1 ≤ X₀ for location l1
Found invariant X₈ ≤ X₇ for location l4
Found invariant X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆
Temp_Vars: X
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₅₁: l0(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(1, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₀ ≤ 1 ∧ 1 ≤ X₀
t₅₂: l0(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₀ ≤ 0
t₅₃: l0(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₀
t₅₅: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 1+X₇ ≤ X₈ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₅₄: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₅₆: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₈ ≤ 0 ∧ X₈ ≤ X₇
t₅₇: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₈ ∧ X₈ ≤ X₇
t₅₈: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, 1, X₉, X₁₀, X₁₅, X₁₆) :|: 1 ≤ X₇ ∧ X₈ ≤ 1 ∧ 1 ≤ X₈
t₅₉: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2+X₀ ≤ 0 ∧ 1+X₇ ≤ X₈
t₆₀: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 0 ≤ X₀ ∧ 1+X₇ ≤ X₈
t₆₁: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(-1, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 1+X₇ ≤ X₈ ∧ X₀+1 ≤ 0 ∧ 0 ≤ 1+X₀
t₆₃: l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(X₀, X₇, X₈+1, X₉, X₁₀, X₁₅, X₁₆) :|: 1+X₉ ≤ X₁₀ ∧ X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₆₂: l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l3(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₆₅: l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(X₀, X₇, X₈+1, X₉, X₁₀, X₁₅, X₁₆) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ 2+X ≤ X₁₆ ∧ X₈ ≤ X₇
t₆₄: l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ X₁₆ ≤ X+1 ∧ X₈ ≤ X₇
t₇₁: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆+1) :|: 1+X₉ ≤ X₁₀ ∧ X₈ ≤ X₇
t₆₈: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇
t₆₉: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀ ≤ X₉ ∧ 2 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇
t₇₀: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, 2, X₁₅, 1) :|: 1 ≤ X₉ ∧ X₁₀ ≤ 1 ∧ 1 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇
t₆₆: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₁₆ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₆₇: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₁₆ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₇₂: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₇₃: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: 2 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₇₄: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, 2, X₁₅, X₁₆) :|: X₁₀ ≤ 1 ∧ 1 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
MPRF for transition t₅₄: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ of depth 1:
new bound:
X₇+X₈+1 {O(n)}
MPRF:
l3 [X₇-X₈ ]
l1 [X₇+1-X₈ ]
MPRF for transition t₆₂: l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l3(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ of depth 1:
new bound:
X₁₀+X₉+1 {O(n)}
MPRF:
l3 [X₉+1-X₁₀ ]
l1 [X₉+1-X₁₀ ]
MPRF for transition t₆₃: l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(X₀, X₇, X₈+1, X₉, X₁₀, X₁₅, X₁₆) :|: 1+X₉ ≤ X₁₀ ∧ X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ of depth 1:
new bound:
X₇+X₈+1 {O(n)}
MPRF:
l3 [X₇+1-X₈ ]
l1 [X₇+1-X₈ ]
MPRF for transition t₅₆: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₈ ≤ 0 ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₈+2 {O(n)}
MPRF:
l2 [1-X₈ ]
l4 [-X₈ ]
l7 [-X₈ ]
l6 [-X₈ ]
MPRF for transition t₅₇: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₈ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₇+2⋅X₈+2 {O(n)}
MPRF:
l2 [X₇+1-X₈ ]
l4 [X₇-X₈ ]
l7 [X₇-X₈ ]
l6 [X₇-X₈ ]
MPRF for transition t₅₈: l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, 1, X₉, X₁₀, X₁₅, X₁₆) :|: 1 ≤ X₇ ∧ X₈ ≤ 1 ∧ 1 ≤ X₈ of depth 1:
new bound:
2⋅X₈+4 {O(n)}
MPRF:
l2 [2-X₈ ]
l4 [1-X₈ ]
l7 [1-X₈ ]
l6 [1-X₈ ]
MPRF for transition t₆₄: l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ X₁₆ ≤ X+1 ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₅+4⋅X₁₆+6 {O(n)}
MPRF:
l2 [X₁₅+3-2⋅X₁₆ ]
l4 [X₁₅+3-2⋅X₁₆ ]
l7 [X₁₅+1-2⋅X₁₆ ]
l6 [X₁₅+1-2⋅X₁₆ ]
MPRF for transition t₆₅: l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(X₀, X₇, X₈+1, X₉, X₁₀, X₁₅, X₁₆) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ 2+X ≤ X₁₆ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₇+2⋅X₈+2 {O(n)}
MPRF:
l2 [X₇+1-X₈ ]
l4 [X₇+1-X₈ ]
l7 [X₇+1-X₈ ]
l6 [X₇+1-X₈ ]
MPRF for transition t₆₆: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₁₆ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+2⋅X₉+2 {O(n)}
MPRF:
l2 [X₉+1-X₁₀ ]
l4 [X₉+1-X₁₀ ]
l7 [X₉-X₁₀ ]
l6 [X₉+1-X₁₀ ]
MPRF for transition t₆₇: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₁₆ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+2⋅X₉+2 {O(n)}
MPRF:
l2 [X₉+1-X₁₀ ]
l4 [X₉+1-X₁₀ ]
l7 [X₉-X₁₀ ]
l6 [X₉+1-X₁₀ ]
MPRF for transition t₆₈: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+2 {O(n)}
MPRF:
l2 [1-X₁₀ ]
l4 [1-X₁₀ ]
l7 [-X₁₀ ]
l6 [1-X₁₀ ]
MPRF for transition t₆₉: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀ ≤ X₉ ∧ 2 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+4⋅X₉ {O(n)}
MPRF:
l2 [2⋅X₉-X₁₀ ]
l4 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]
MPRF for transition t₇₀: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, 2, X₁₅, 1) :|: 1 ≤ X₉ ∧ X₁₀ ≤ 1 ∧ 1 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+4⋅X₉ {O(n)}
MPRF:
l2 [2⋅X₉-X₁₀ ]
l4 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]
MPRF for transition t₇₂: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+4 {O(n)}
MPRF:
l2 [2-X₁₀ ]
l4 [2-X₁₀ ]
l7 [2-X₁₀ ]
l6 [2-X₁₀ ]
MPRF for transition t₇₃: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: 2 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+4⋅X₉ {O(n)}
MPRF:
l2 [2⋅X₉-X₁₀ ]
l4 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]
MPRF for transition t₇₄: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, 2, X₁₅, X₁₆) :|: X₁₀ ≤ 1 ∧ 1 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:
new bound:
2⋅X₁₀+4⋅X₉ {O(n)}
MPRF:
l2 [2⋅X₉-X₁₀ ]
l4 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]
knowledge_propagation leads to new time bound 12⋅X₁₀+16⋅X₉+2⋅X₁₅+4⋅X₁₆+12 {O(n)} for transition t₇₁: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆+1) :|: 1+X₉ ≤ X₁₀ ∧ X₈ ≤ X₇
All Bounds
Timebounds
Overall timebound:10⋅X₈+29⋅X₁₀+37⋅X₉+4⋅X₁₅+6⋅X₇+8⋅X₁₆+48 {O(n)}
t₅₁: 1 {O(1)}
t₅₂: 1 {O(1)}
t₅₃: 1 {O(1)}
t₅₄: X₇+X₈+1 {O(n)}
t₅₅: 1 {O(1)}
t₅₆: 2⋅X₈+2 {O(n)}
t₅₇: 2⋅X₇+2⋅X₈+2 {O(n)}
t₅₈: 2⋅X₈+4 {O(n)}
t₅₉: 1 {O(1)}
t₆₀: 1 {O(1)}
t₆₁: 1 {O(1)}
t₆₂: X₁₀+X₉+1 {O(n)}
t₆₃: X₇+X₈+1 {O(n)}
t₆₄: 2⋅X₁₅+4⋅X₁₆+6 {O(n)}
t₆₅: 2⋅X₇+2⋅X₈+2 {O(n)}
t₆₆: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₆₇: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₆₈: 2⋅X₁₀+2 {O(n)}
t₆₉: 2⋅X₁₀+4⋅X₉ {O(n)}
t₇₀: 2⋅X₁₀+4⋅X₉ {O(n)}
t₇₁: 12⋅X₁₀+16⋅X₉+2⋅X₁₅+4⋅X₁₆+12 {O(n)}
t₇₂: 2⋅X₁₀+4 {O(n)}
t₇₃: 2⋅X₁₀+4⋅X₉ {O(n)}
t₇₄: 2⋅X₁₀+4⋅X₉ {O(n)}
Costbounds
Overall costbound: 10⋅X₈+29⋅X₁₀+37⋅X₉+4⋅X₁₅+6⋅X₇+8⋅X₁₆+48 {O(n)}
t₅₁: 1 {O(1)}
t₅₂: 1 {O(1)}
t₅₃: 1 {O(1)}
t₅₄: X₇+X₈+1 {O(n)}
t₅₅: 1 {O(1)}
t₅₆: 2⋅X₈+2 {O(n)}
t₅₇: 2⋅X₇+2⋅X₈+2 {O(n)}
t₅₈: 2⋅X₈+4 {O(n)}
t₅₉: 1 {O(1)}
t₆₀: 1 {O(1)}
t₆₁: 1 {O(1)}
t₆₂: X₁₀+X₉+1 {O(n)}
t₆₃: X₇+X₈+1 {O(n)}
t₆₄: 2⋅X₁₅+4⋅X₁₆+6 {O(n)}
t₆₅: 2⋅X₇+2⋅X₈+2 {O(n)}
t₆₆: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₆₇: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₆₈: 2⋅X₁₀+2 {O(n)}
t₆₉: 2⋅X₁₀+4⋅X₉ {O(n)}
t₇₀: 2⋅X₁₀+4⋅X₉ {O(n)}
t₇₁: 12⋅X₁₀+16⋅X₉+2⋅X₁₅+4⋅X₁₆+12 {O(n)}
t₇₂: 2⋅X₁₀+4 {O(n)}
t₇₃: 2⋅X₁₀+4⋅X₉ {O(n)}
t₇₄: 2⋅X₁₀+4⋅X₉ {O(n)}
Sizebounds
t₅₁, X₀: 1 {O(1)}
t₅₁, X₇: X₇ {O(n)}
t₅₁, X₈: X₈ {O(n)}
t₅₁, X₉: X₉ {O(n)}
t₅₁, X₁₀: X₁₀ {O(n)}
t₅₁, X₁₅: X₁₅ {O(n)}
t₅₁, X₁₆: X₁₆ {O(n)}
t₅₂, X₀: X₀ {O(n)}
t₅₂, X₇: X₇ {O(n)}
t₅₂, X₈: X₈ {O(n)}
t₅₂, X₉: X₉ {O(n)}
t₅₂, X₁₀: X₁₀ {O(n)}
t₅₂, X₁₅: X₁₅ {O(n)}
t₅₂, X₁₆: X₁₆ {O(n)}
t₅₃, X₀: X₀ {O(n)}
t₅₃, X₇: X₇ {O(n)}
t₅₃, X₈: X₈ {O(n)}
t₅₃, X₉: X₉ {O(n)}
t₅₃, X₁₀: X₁₀ {O(n)}
t₅₃, X₁₅: X₁₅ {O(n)}
t₅₃, X₁₆: X₁₆ {O(n)}
t₅₄, X₀: 1 {O(1)}
t₅₄, X₇: X₇ {O(n)}
t₅₄, X₈: 2⋅X₈+X₇+1 {O(n)}
t₅₄, X₉: X₉ {O(n)}
t₅₄, X₁₀: 2⋅X₁₀+X₉+1 {O(n)}
t₅₄, X₁₅: X₁₅ {O(n)}
t₅₄, X₁₆: X₁₆ {O(n)}
t₅₅, X₀: 1 {O(1)}
t₅₅, X₇: 2⋅X₇ {O(n)}
t₅₅, X₈: 3⋅X₈+X₇+1 {O(n)}
t₅₅, X₉: 2⋅X₉ {O(n)}
t₅₅, X₁₀: 3⋅X₁₀+X₉+1 {O(n)}
t₅₅, X₁₅: 2⋅X₁₅ {O(n)}
t₅₅, X₁₆: 2⋅X₁₆ {O(n)}
t₅₆, X₀: 6⋅X₀ {O(n)}
t₅₆, X₇: 6⋅X₇ {O(n)}
t₅₆, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₅₆, X₉: 6⋅X₉ {O(n)}
t₅₆, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₅₆, X₁₅: 6⋅X₁₅ {O(n)}
t₅₆, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₅₇, X₀: 6⋅X₀ {O(n)}
t₅₇, X₇: 6⋅X₇ {O(n)}
t₅₇, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₅₇, X₉: 6⋅X₉ {O(n)}
t₅₇, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₅₇, X₁₅: 6⋅X₁₅ {O(n)}
t₅₇, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₅₈, X₀: 6⋅X₀ {O(n)}
t₅₈, X₇: 6⋅X₇ {O(n)}
t₅₈, X₈: 1 {O(1)}
t₅₈, X₉: 6⋅X₉ {O(n)}
t₅₈, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₅₈, X₁₅: 6⋅X₁₅ {O(n)}
t₅₈, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₅₉, X₀: 7⋅X₀ {O(n)}
t₅₉, X₇: 7⋅X₇ {O(n)}
t₅₉, X₈: 2⋅X₇+7⋅X₈+4 {O(n)}
t₅₉, X₉: 7⋅X₉ {O(n)}
t₅₉, X₁₀: 11⋅X₁₀+8⋅X₉+13 {O(n)}
t₅₉, X₁₅: 7⋅X₁₅ {O(n)}
t₅₉, X₁₆: 11⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₆₀, X₀: 8⋅X₀+1 {O(n)}
t₆₀, X₇: 10⋅X₇ {O(n)}
t₆₀, X₈: 11⋅X₈+3⋅X₇+5 {O(n)}
t₆₀, X₉: 10⋅X₉ {O(n)}
t₆₀, X₁₀: 15⋅X₁₀+9⋅X₉+14 {O(n)}
t₆₀, X₁₅: 10⋅X₁₅ {O(n)}
t₆₀, X₁₆: 12⋅X₁₀+14⋅X₁₆+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₆₁, X₀: 1 {O(1)}
t₆₁, X₇: 7⋅X₇ {O(n)}
t₆₁, X₈: 2⋅X₇+7⋅X₈+4 {O(n)}
t₆₁, X₉: 7⋅X₉ {O(n)}
t₆₁, X₁₀: 11⋅X₁₀+8⋅X₉+13 {O(n)}
t₆₁, X₁₅: 7⋅X₁₅ {O(n)}
t₆₁, X₁₆: 11⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₆₂, X₀: 1 {O(1)}
t₆₂, X₇: X₇ {O(n)}
t₆₂, X₈: 2⋅X₈+X₇+1 {O(n)}
t₆₂, X₉: X₉ {O(n)}
t₆₂, X₁₀: 2⋅X₁₀+X₉+1 {O(n)}
t₆₂, X₁₅: X₁₅ {O(n)}
t₆₂, X₁₆: X₁₆ {O(n)}
t₆₃, X₀: 1 {O(1)}
t₆₃, X₇: X₇ {O(n)}
t₆₃, X₈: 2⋅X₈+X₇+1 {O(n)}
t₆₃, X₉: X₉ {O(n)}
t₆₃, X₁₀: 2⋅X₁₀+X₉+1 {O(n)}
t₆₃, X₁₅: X₁₅ {O(n)}
t₆₃, X₁₆: X₁₆ {O(n)}
t₆₄, X₀: 6⋅X₀ {O(n)}
t₆₄, X₇: 6⋅X₇ {O(n)}
t₆₄, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₆₄, X₉: 6⋅X₉ {O(n)}
t₆₄, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₆₄, X₁₅: 6⋅X₁₅ {O(n)}
t₆₄, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₆₅, X₀: 6⋅X₀ {O(n)}
t₆₅, X₇: 6⋅X₇ {O(n)}
t₆₅, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₆₅, X₉: 6⋅X₉ {O(n)}
t₆₅, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₆₅, X₁₅: 6⋅X₁₅ {O(n)}
t₆₅, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₆₆, X₀: 6⋅X₀ {O(n)}
t₆₆, X₇: 6⋅X₇ {O(n)}
t₆₆, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₆₆, X₉: 6⋅X₉ {O(n)}
t₆₆, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₆₆, X₁₅: 6⋅X₁₅ {O(n)}
t₆₆, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₆₇, X₀: 6⋅X₀ {O(n)}
t₆₇, X₇: 6⋅X₇ {O(n)}
t₆₇, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₆₇, X₉: 6⋅X₉ {O(n)}
t₆₇, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₆₇, X₁₅: 6⋅X₁₅ {O(n)}
t₆₇, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₆₈, X₀: 6⋅X₀ {O(n)}
t₆₈, X₇: 6⋅X₇ {O(n)}
t₆₈, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₆₈, X₉: 6⋅X₉ {O(n)}
t₆₈, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₆₈, X₁₅: 6⋅X₁₅ {O(n)}
t₆₈, X₁₆: 1 {O(1)}
t₆₉, X₀: 6⋅X₀ {O(n)}
t₆₉, X₇: 6⋅X₇ {O(n)}
t₆₉, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₆₉, X₉: 6⋅X₉ {O(n)}
t₆₉, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₆₉, X₁₅: 6⋅X₁₅ {O(n)}
t₆₉, X₁₆: 1 {O(1)}
t₇₀, X₀: 6⋅X₀ {O(n)}
t₇₀, X₇: 6⋅X₇ {O(n)}
t₇₀, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₇₀, X₉: 6⋅X₉ {O(n)}
t₇₀, X₁₀: 2 {O(1)}
t₇₀, X₁₅: 6⋅X₁₅ {O(n)}
t₇₀, X₁₆: 1 {O(1)}
t₇₁, X₀: 6⋅X₀ {O(n)}
t₇₁, X₇: 6⋅X₇ {O(n)}
t₇₁, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₇₁, X₉: 6⋅X₉ {O(n)}
t₇₁, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₇₁, X₁₅: 6⋅X₁₅ {O(n)}
t₇₁, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₇₂, X₀: 6⋅X₀ {O(n)}
t₇₂, X₇: 6⋅X₇ {O(n)}
t₇₂, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₇₂, X₉: 6⋅X₉ {O(n)}
t₇₂, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₇₂, X₁₅: 6⋅X₁₅ {O(n)}
t₇₂, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₇₃, X₀: 6⋅X₀ {O(n)}
t₇₃, X₇: 6⋅X₇ {O(n)}
t₇₃, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₇₃, X₉: 6⋅X₉ {O(n)}
t₇₃, X₁₀: 10⋅X₁₀+8⋅X₉+13 {O(n)}
t₇₃, X₁₅: 6⋅X₁₅ {O(n)}
t₇₃, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}
t₇₄, X₀: 6⋅X₀ {O(n)}
t₇₄, X₇: 6⋅X₇ {O(n)}
t₇₄, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₇₄, X₉: 6⋅X₉ {O(n)}
t₇₄, X₁₀: 2 {O(1)}
t₇₄, X₁₅: 6⋅X₁₅ {O(n)}
t₇₄, X₁₆: 10⋅X₁₆+12⋅X₁₀+16⋅X₉+2⋅X₁₅+15 {O(n)}