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, D1, E1, F1, X, Y, Z
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
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) → l1(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) → l1(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
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) → l4(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
t₁₉: 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) :|: 2+X₀ ≤ 0 ∧ 1+X₇ ≤ X₈
t₂₀: 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) :|: 0 ≤ X₀ ∧ 1+X₇ ≤ X₈
t₂₁: 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(-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
t₅: l1(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, X₇+2-X₈, 1, 0, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: X₈ ≤ 0 ∧ X₈ ≤ X₇
t₆: l1(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, X₇+2-X₈, 1, 0, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 2 ≤ X₈ ∧ X₈ ≤ X₇
t₇: l1(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, 1, X₉, X₁₀, X₁₁, 1, 1, 0, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 1 ≤ X₇ ∧ X₈ ≤ 1 ∧ 1 ≤ X₈
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
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) → l4(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
t₂₃: l4(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, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂) :|: 1+X₇ ≤ X₈
t₁: l4(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
t₁₈: l5(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) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ 2+X ≤ X₁₆
t₈: l5(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) → l5(X₀, X₁, X₂, X₃, X₁₃, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₅*X₁₃+X₁₃-X₆*X₁₄, X₅*X₁₄+X₆*X₁₃+X₁₄, 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+3, X₁₂, X₁₃, X₁₄, X₁₅, 1, Y*X₁+Z*X₁, A1*X₁-B1*X₁, C1*X₂-D1*X₂, -E1*X₂-F1*X₂, X₂₁, X₂₂) :|: X₁₀+4⋅X ≤ X₉ ∧ X₉+1 ≤ 5⋅X+X₁₀ ∧ 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+3, X₁₂, X₁₃, X₁₄, X₁₅, 1, Y*X₁+Z*X₁, A1*X₁-B1*X₁, C1*X₂-D1*X₂, -E1*X₂-F1*X₂, X₂₁, X₂₂) :|: X₁₀+4⋅X ≤ X₉ ∧ X₉+1 ≤ 5⋅X+X₁₀ ∧ 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*X₁+Y*X₁, Z*X₁-A1*X₁, B1*X₂-C1*X₂, -D1*X₂-E1*X₂, 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*X₁+Y*X₁, Z*X₁-A1*X₁, B1*X₂-C1*X₂, -D1*X₂-E1*X₂, X₁₅+3-F1, X₂₂) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ 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*X₁+Y*X₁, Z*X₁-A1*X₁, B1*X₂-C1*X₂, -D1*X₂-E1*X₂, X₁₅+3-F1, X₂₂) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ 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*X₁+Y*X₁, Z*X₁-A1*X₁, B1*X₂-C1*X₂, -D1*X₂-E1*X₂, X₁₅+3-F1, X₂₂) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ X₁₀ ≤ 1 ∧ 1 ≤ X₁₀

Preprocessing

Eliminate variables {A1,B1,C1,D1,E1,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 1+X₇ ≤ X₈ for location l2

Found invariant X₈ ≤ X₇ for location l6

Found invariant X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ for location l7

Found invariant X₈ ≤ X₇ for location l5

Found invariant X₀ ≤ 1 ∧ 1 ≤ X₀ 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: F1, X
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₆₇: l0(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₀ ≤ 0
t₆₈: l0(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₀
t₆₆: l0(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(1, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₀ ≤ 1 ∧ 1 ≤ X₀
t₇₂: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2+X₀ ≤ 0 ∧ 1+X₇ ≤ X₈
t₇₃: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 0 ≤ X₀ ∧ 1+X₇ ≤ X₈
t₇₄: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l2(-1, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 1+X₇ ≤ X₈ ∧ X₀+1 ≤ 0 ∧ 0 ≤ 1+X₀
t₆₉: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₈ ≤ 0 ∧ X₈ ≤ X₇
t₇₀: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₈ ∧ X₈ ≤ X₇
t₇₁: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, 1, X₉, X₁₀, X₁₅, X₁₆) :|: 1 ≤ X₇ ∧ X₈ ≤ 1 ∧ 1 ≤ X₈
t₇₅: 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
t₇₆: l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(X₀, X₇, X₈+1, X₉, X₁₀, X₁₅, X₁₆) :|: 1+X₉ ≤ X₁₀ ∧ X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₇₈: l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 1+X₇ ≤ X₈ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₇₇: l4(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₈ ≤ X₇ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₈₀: l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(X₀, X₇, X₈+1, X₉, X₁₀, X₁₅, X₁₆) :|: 2⋅X ≤ X₁₅ ∧ X₁₅+1 ≤ 3⋅X ∧ 2+X ≤ X₁₆ ∧ X₈ ≤ X₇
t₇₉: l5(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
t₈₆: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆+1) :|: 1+X₉ ≤ X₁₀ ∧ X₈ ≤ X₇
t₈₃: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀+4⋅X ≤ X₉ ∧ X₉+1 ≤ 5⋅X+X₁₀ ∧ X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇
t₈₄: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀+4⋅X ≤ X₉ ∧ X₉+1 ≤ 5⋅X+X₁₀ ∧ X₁₀ ≤ X₉ ∧ 2 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇
t₈₅: 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
t₈₁: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₁₆ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₈₂: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₁₆ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₈₇: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₈₈: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ 2 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇
t₈₉: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, 2, X₁₅, X₁₆) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ X₁₀ ≤ 1 ∧ 1 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇

MPRF for transition t₇₅: 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:

l4 [X₉+1-X₁₀ ]
l3 [X₉+1-X₁₀ ]

MPRF for transition t₇₆: l3(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l4(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:

l4 [X₇+1-X₈ ]
l3 [X₇+1-X₈ ]

MPRF for transition t₇₇: l4(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:

l4 [X₇+1-X₈ ]
l3 [X₇-X₈ ]

MPRF for transition t₆₉: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: X₈ ≤ 0 ∧ X₈ ≤ X₇ of depth 1:

new bound:

2⋅X₈+2 {O(n)}

MPRF:

l1 [1-X₈ ]
l5 [-X₈ ]
l7 [-X₈ ]
l6 [-X₈ ]

MPRF for transition t₇₀: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) :|: 2 ≤ X₈ ∧ X₈ ≤ X₇ of depth 1:

new bound:

2⋅X₇+2⋅X₈+2 {O(n)}

MPRF:

l1 [X₇+1-X₈ ]
l5 [X₇-X₈ ]
l7 [X₇-X₈ ]
l6 [X₇-X₈ ]

MPRF for transition t₇₁: l1(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, 1, X₉, X₁₀, X₁₅, X₁₆) :|: 1 ≤ X₇ ∧ X₈ ≤ 1 ∧ 1 ≤ X₈ of depth 1:

new bound:

2⋅X₈+4 {O(n)}

MPRF:

l1 [2-X₈ ]
l5 [1-X₈ ]
l7 [1-X₈ ]
l6 [1-X₈ ]

MPRF for transition t₇₉: l5(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:

l1 [X₁₅+3-2⋅X₁₆ ]
l5 [X₁₅+3-2⋅X₁₆ ]
l7 [X₁₅+1-2⋅X₁₆ ]
l6 [X₁₅+1-2⋅X₁₆ ]

MPRF for transition t₈₀: l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l1(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:

l1 [X₇+1-X₈ ]
l5 [X₇+1-X₈ ]
l7 [X₇+1-X₈ ]
l6 [X₇+1-X₈ ]

MPRF for transition t₈₁: 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:

l1 [X₉+1-X₁₀ ]
l5 [X₉+1-X₁₀ ]
l7 [X₉-X₁₀ ]
l6 [X₉+1-X₁₀ ]

MPRF for transition t₈₂: 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:

l1 [X₉+1-X₁₀ ]
l5 [X₉+1-X₁₀ ]
l7 [X₉-X₁₀ ]
l6 [X₉+1-X₁₀ ]

MPRF for transition t₈₃: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀+4⋅X ≤ X₉ ∧ X₉+1 ≤ 5⋅X+X₁₀ ∧ X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇ of depth 1:

new bound:

2⋅X₁₀+2⋅X₉ {O(n)}

MPRF:

l1 [X₉-X₁₀ ]
l5 [X₉-X₁₀ ]
l7 [X₉-X₁₀ ]
l6 [X₉-X₁₀ ]

MPRF for transition t₈₄: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, 1) :|: X₁₀+4⋅X ≤ X₉ ∧ X₉+1 ≤ 5⋅X+X₁₀ ∧ X₁₀ ≤ X₉ ∧ 2 ≤ X₁₀ ∧ X₁₆ ≤ 1 ∧ 1 ≤ X₁₆ ∧ X₈ ≤ X₇ of depth 1:

new bound:

2⋅X₁₀+4⋅X₉ {O(n)}

MPRF:

l1 [2⋅X₉-X₁₀ ]
l5 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]

MPRF for transition t₈₅: 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:

l1 [2⋅X₉-X₁₀ ]
l5 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]

MPRF for transition t₈₇: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ X₁₀ ≤ 0 ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:

new bound:

2⋅X₁₀+2 {O(n)}

MPRF:

l1 [1-X₁₀ ]
l5 [1-X₁₀ ]
l7 [1-X₁₀ ]
l6 [1-X₁₀ ]

MPRF for transition t₈₈: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, X₁₀+1, X₁₅, X₁₆) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ 2 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:

new bound:

2⋅X₁₀+4⋅X₉ {O(n)}

MPRF:

l1 [2⋅X₉-X₁₀ ]
l5 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]

MPRF for transition t₈₉: l7(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l6(X₀, X₇, X₈, X₉, 2, X₁₅, X₁₆) :|: 2⋅F1 ≤ X₁₆ ∧ X₁₆+1 ≤ 3⋅F1 ∧ X₁₀ ≤ 1 ∧ 1 ≤ X₁₀ ∧ X₁₀ ≤ X₉ ∧ X₈ ≤ X₇ of depth 1:

new bound:

2⋅X₁₀+4⋅X₉ {O(n)}

MPRF:

l1 [2⋅X₉-X₁₀ ]
l5 [2⋅X₉-X₁₀ ]
l7 [2⋅X₉-X₁₀ ]
l6 [2⋅X₉-X₁₀ ]

knowledge_propagation leads to new time bound 12⋅X₉+2⋅X₁₅+4⋅X₁₆+8⋅X₁₀+8 {O(n)} for transition t₈₆: l6(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆) → l5(X₀, X₇, X₈, X₉, X₁₀, X₁₅, X₁₆+1) :|: 1+X₉ ≤ X₁₀ ∧ X₈ ≤ X₇

All Bounds

Timebounds

Overall timebound:10⋅X₈+25⋅X₁₀+35⋅X₉+4⋅X₁₅+6⋅X₇+8⋅X₁₆+40 {O(n)}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 1 {O(1)}
t₆₉: 2⋅X₈+2 {O(n)}
t₇₀: 2⋅X₇+2⋅X₈+2 {O(n)}
t₇₁: 2⋅X₈+4 {O(n)}
t₇₂: 1 {O(1)}
t₇₃: 1 {O(1)}
t₇₄: 1 {O(1)}
t₇₅: X₁₀+X₉+1 {O(n)}
t₇₆: X₇+X₈+1 {O(n)}
t₇₇: X₇+X₈+1 {O(n)}
t₇₈: 1 {O(1)}
t₇₉: 2⋅X₁₅+4⋅X₁₆+6 {O(n)}
t₈₀: 2⋅X₇+2⋅X₈+2 {O(n)}
t₈₁: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₈₂: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₈₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₈₄: 2⋅X₁₀+4⋅X₉ {O(n)}
t₈₅: 2⋅X₁₀+4⋅X₉ {O(n)}
t₈₆: 12⋅X₉+2⋅X₁₅+4⋅X₁₆+8⋅X₁₀+8 {O(n)}
t₈₇: 2⋅X₁₀+2 {O(n)}
t₈₈: 2⋅X₁₀+4⋅X₉ {O(n)}
t₈₉: 2⋅X₁₀+4⋅X₉ {O(n)}

Costbounds

Overall costbound: 10⋅X₈+25⋅X₁₀+35⋅X₉+4⋅X₁₅+6⋅X₇+8⋅X₁₆+40 {O(n)}
t₆₆: 1 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 1 {O(1)}
t₆₉: 2⋅X₈+2 {O(n)}
t₇₀: 2⋅X₇+2⋅X₈+2 {O(n)}
t₇₁: 2⋅X₈+4 {O(n)}
t₇₂: 1 {O(1)}
t₇₃: 1 {O(1)}
t₇₄: 1 {O(1)}
t₇₅: X₁₀+X₉+1 {O(n)}
t₇₆: X₇+X₈+1 {O(n)}
t₇₇: X₇+X₈+1 {O(n)}
t₇₈: 1 {O(1)}
t₇₉: 2⋅X₁₅+4⋅X₁₆+6 {O(n)}
t₈₀: 2⋅X₇+2⋅X₈+2 {O(n)}
t₈₁: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₈₂: 2⋅X₁₀+2⋅X₉+2 {O(n)}
t₈₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₈₄: 2⋅X₁₀+4⋅X₉ {O(n)}
t₈₅: 2⋅X₁₀+4⋅X₉ {O(n)}
t₈₆: 12⋅X₉+2⋅X₁₅+4⋅X₁₆+8⋅X₁₀+8 {O(n)}
t₈₇: 2⋅X₁₀+2 {O(n)}
t₈₈: 2⋅X₁₀+4⋅X₉ {O(n)}
t₈₉: 2⋅X₁₀+4⋅X₉ {O(n)}

Sizebounds

t₆₆, X₀: 1 {O(1)}
t₆₆, X₇: X₇ {O(n)}
t₆₆, X₈: X₈ {O(n)}
t₆₆, X₉: X₉ {O(n)}
t₆₆, X₁₀: X₁₀ {O(n)}
t₆₆, X₁₅: X₁₅ {O(n)}
t₆₆, X₁₆: X₁₆ {O(n)}
t₆₇, X₀: X₀ {O(n)}
t₆₇, X₇: X₇ {O(n)}
t₆₇, X₈: X₈ {O(n)}
t₆₇, X₉: X₉ {O(n)}
t₆₇, X₁₀: X₁₀ {O(n)}
t₆₇, X₁₅: X₁₅ {O(n)}
t₆₇, X₁₆: X₁₆ {O(n)}
t₆₈, X₀: X₀ {O(n)}
t₆₈, X₇: X₇ {O(n)}
t₆₈, X₈: X₈ {O(n)}
t₆₈, X₉: X₉ {O(n)}
t₆₈, X₁₀: X₁₀ {O(n)}
t₆₈, X₁₅: X₁₅ {O(n)}
t₆₈, X₁₆: X₁₆ {O(n)}
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: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₆₉, X₁₅: 6⋅X₁₅ {O(n)}
t₆₉, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
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: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₇₀, X₁₅: 6⋅X₁₅ {O(n)}
t₇₀, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₇₁, X₀: 6⋅X₀ {O(n)}
t₇₁, X₇: 6⋅X₇ {O(n)}
t₇₁, X₈: 1 {O(1)}
t₇₁, X₉: 6⋅X₉ {O(n)}
t₇₁, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₇₁, X₁₅: 6⋅X₁₅ {O(n)}
t₇₁, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₇₂, X₀: 7⋅X₀ {O(n)}
t₇₂, X₇: 7⋅X₇ {O(n)}
t₇₂, X₈: 2⋅X₇+7⋅X₈+4 {O(n)}
t₇₂, X₉: 7⋅X₉ {O(n)}
t₇₂, X₁₀: 4⋅X₉+9⋅X₁₀+7 {O(n)}
t₇₂, X₁₅: 7⋅X₁₅ {O(n)}
t₇₂, X₁₆: 11⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₇₃, X₀: 8⋅X₀+1 {O(n)}
t₇₃, X₇: 10⋅X₇ {O(n)}
t₇₃, X₈: 11⋅X₈+3⋅X₇+5 {O(n)}
t₇₃, X₉: 10⋅X₉ {O(n)}
t₇₃, X₁₀: 13⋅X₁₀+5⋅X₉+8 {O(n)}
t₇₃, X₁₅: 10⋅X₁₅ {O(n)}
t₇₃, X₁₆: 12⋅X₉+14⋅X₁₆+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₇₄, X₀: 1 {O(1)}
t₇₄, X₇: 7⋅X₇ {O(n)}
t₇₄, X₈: 2⋅X₇+7⋅X₈+4 {O(n)}
t₇₄, X₉: 7⋅X₉ {O(n)}
t₇₄, X₁₀: 4⋅X₉+9⋅X₁₀+7 {O(n)}
t₇₄, X₁₅: 7⋅X₁₅ {O(n)}
t₇₄, X₁₆: 11⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₇₅, X₀: 1 {O(1)}
t₇₅, X₇: X₇ {O(n)}
t₇₅, X₈: 2⋅X₈+X₇+1 {O(n)}
t₇₅, X₉: X₉ {O(n)}
t₇₅, X₁₀: 2⋅X₁₀+X₉+1 {O(n)}
t₇₅, X₁₅: X₁₅ {O(n)}
t₇₅, X₁₆: X₁₆ {O(n)}
t₇₆, X₀: 1 {O(1)}
t₇₆, X₇: X₇ {O(n)}
t₇₆, X₈: 2⋅X₈+X₇+1 {O(n)}
t₇₆, X₉: X₉ {O(n)}
t₇₆, X₁₀: 2⋅X₁₀+X₉+1 {O(n)}
t₇₆, X₁₅: X₁₅ {O(n)}
t₇₆, X₁₆: X₁₆ {O(n)}
t₇₇, X₀: 1 {O(1)}
t₇₇, X₇: X₇ {O(n)}
t₇₇, X₈: 2⋅X₈+X₇+1 {O(n)}
t₇₇, X₉: X₉ {O(n)}
t₇₇, X₁₀: 2⋅X₁₀+X₉+1 {O(n)}
t₇₇, X₁₅: X₁₅ {O(n)}
t₇₇, X₁₆: X₁₆ {O(n)}
t₇₈, X₀: 1 {O(1)}
t₇₈, X₇: 2⋅X₇ {O(n)}
t₇₈, X₈: 3⋅X₈+X₇+1 {O(n)}
t₇₈, X₉: 2⋅X₉ {O(n)}
t₇₈, X₁₀: 3⋅X₁₀+X₉+1 {O(n)}
t₇₈, X₁₅: 2⋅X₁₅ {O(n)}
t₇₈, X₁₆: 2⋅X₁₆ {O(n)}
t₇₉, X₀: 6⋅X₀ {O(n)}
t₇₉, X₇: 6⋅X₇ {O(n)}
t₇₉, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₇₉, X₉: 6⋅X₉ {O(n)}
t₇₉, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₇₉, X₁₅: 6⋅X₁₅ {O(n)}
t₇₉, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₈₀, X₀: 6⋅X₀ {O(n)}
t₈₀, X₇: 6⋅X₇ {O(n)}
t₈₀, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₀, X₉: 6⋅X₉ {O(n)}
t₈₀, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₈₀, X₁₅: 6⋅X₁₅ {O(n)}
t₈₀, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₈₁, X₀: 6⋅X₀ {O(n)}
t₈₁, X₇: 6⋅X₇ {O(n)}
t₈₁, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₁, X₉: 6⋅X₉ {O(n)}
t₈₁, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₈₁, X₁₅: 6⋅X₁₅ {O(n)}
t₈₁, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₈₂, X₀: 6⋅X₀ {O(n)}
t₈₂, X₇: 6⋅X₇ {O(n)}
t₈₂, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₂, X₉: 6⋅X₉ {O(n)}
t₈₂, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₈₂, X₁₅: 6⋅X₁₅ {O(n)}
t₈₂, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₈₃, X₀: 6⋅X₀ {O(n)}
t₈₃, X₇: 6⋅X₇ {O(n)}
t₈₃, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₃, X₉: 6⋅X₉ {O(n)}
t₈₃, X₁₀: 4⋅X₉+8⋅X₁₀+8 {O(n)}
t₈₃, X₁₅: 6⋅X₁₅ {O(n)}
t₈₃, X₁₆: 1 {O(1)}
t₈₄, X₀: 12⋅X₀ {O(n)}
t₈₄, X₇: 12⋅X₇ {O(n)}
t₈₄, X₈: 12⋅X₈+4⋅X₇+8 {O(n)}
t₈₄, X₉: 12⋅X₉ {O(n)}
t₈₄, X₁₀: 10⋅X₁₀+8⋅X₉+9 {O(n)}
t₈₄, X₁₅: 12⋅X₁₅ {O(n)}
t₈₄, X₁₆: 1 {O(1)}
t₈₅, X₀: 6⋅X₀ {O(n)}
t₈₅, X₇: 6⋅X₇ {O(n)}
t₈₅, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₅, X₉: 6⋅X₉ {O(n)}
t₈₅, X₁₀: 2 {O(1)}
t₈₅, X₁₅: 6⋅X₁₅ {O(n)}
t₈₅, X₁₆: 1 {O(1)}
t₈₆, X₀: 6⋅X₀ {O(n)}
t₈₆, X₇: 6⋅X₇ {O(n)}
t₈₆, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₆, X₉: 6⋅X₉ {O(n)}
t₈₆, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₈₆, X₁₅: 6⋅X₁₅ {O(n)}
t₈₆, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₈₇, X₀: 6⋅X₀ {O(n)}
t₈₇, X₇: 6⋅X₇ {O(n)}
t₈₇, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₇, X₉: 6⋅X₉ {O(n)}
t₈₇, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₈₇, X₁₅: 6⋅X₁₅ {O(n)}
t₈₇, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₈₈, X₀: 6⋅X₀ {O(n)}
t₈₈, X₇: 6⋅X₇ {O(n)}
t₈₈, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₈, X₉: 6⋅X₉ {O(n)}
t₈₈, X₁₀: 4⋅X₉+8⋅X₁₀+7 {O(n)}
t₈₈, X₁₅: 6⋅X₁₅ {O(n)}
t₈₈, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}
t₈₉, X₀: 6⋅X₀ {O(n)}
t₈₉, X₇: 6⋅X₇ {O(n)}
t₈₉, X₈: 2⋅X₇+6⋅X₈+4 {O(n)}
t₈₉, X₉: 6⋅X₉ {O(n)}
t₈₉, X₁₀: 2 {O(1)}
t₈₉, X₁₅: 6⋅X₁₅ {O(n)}
t₈₉, X₁₆: 10⋅X₁₆+12⋅X₉+2⋅X₁₅+8⋅X₁₀+9 {O(n)}