Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef.0, nondef.1
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ < X₅
t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₂
t₁₈: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l2(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂₂: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇-16, X₈)
t₃: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₀, X₁, X₂, X₃, X₄, X₃, 0, X₇, X₈) :|: X₂ < X₄
t₂: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ X₂
t₁: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l12(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₈)
t₄: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l12(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆, X₇, X₈)
t₂₄: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ < 0
t₂₀: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₁
t₂₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₁ ≤ 0 ∧ 0 ≤ X₁
t₁₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₆+1)
t₁₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₇ ≤ 15
t₁₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 15 < X₇
t₂₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₀, X₁, X₂, X₃, X₄, X₅+1, X₈, X₇, X₈)
t₁₀: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₀ < 0
t₁₁: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₀
t₁₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: X₀ ≤ 0 ∧ 0 ≤ X₀
t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l6(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₆: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)

Preprocessing

Found invariant X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l11

Found invariant X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location l6

Found invariant 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ 1+X₂ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ for location l15

Found invariant X₃ ≤ X₄ for location l12

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location l7

Found invariant X₈ ≤ 1+X₆ ∧ 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location l5

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location l8

Found invariant 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ for location l1

Found invariant X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l10

Found invariant 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ 1+X₂ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ for location l16

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

Found invariant X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l9

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location l3

Found invariant X₄ ≤ X₂ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₂ for location l14

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef.0, nondef.1
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ < X₅ ∧ 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄
t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₂ ∧ 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄
t₁₈: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l2(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₂: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇-16, X₈) :|: X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₃: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₀, X₁, X₂, X₃, X₄, X₃, 0, X₇, X₈) :|: X₂ < X₄ ∧ X₃ ≤ X₄
t₂: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ X₂ ∧ X₃ ≤ X₄
t₁: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l12(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₈)
t₄: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l12(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆, X₇, X₈) :|: X₄ ≤ X₂ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₂
t₂₄: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ 1+X₂ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄
t₁₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ < 0 ∧ X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₀: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₁ ∧ X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₁₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₆+1) :|: 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂
t₁₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₇ ≤ 15 ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₁₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 15 < X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₀, X₁, X₂, X₃, X₄, X₅+1, X₈, X₇, X₈) :|: X₈ ≤ 1+X₆ ∧ 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂
t₁₀: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₀ < 0 ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂
t₁₁: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₀ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂
t₁₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂
t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l6(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂
t₁₆: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀

MPRF for transition t₂: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ X₂ ∧ X₃ ≤ X₄ of depth 1:

new bound:

X₂+X₃+1 {O(n)}

MPRF for transition t₄: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l12(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆, X₇, X₈) :|: X₄ ≤ X₂ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

X₂+X₃+1 {O(n)}

MPRF for transition t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₂ ∧ 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ of depth 1:

new bound:

5⋅X₃+X₂+2 {O(n)}

MPRF for transition t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF for transition t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l6(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF for transition t₁₀: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₀ < 0 ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF for transition t₁₁: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₀ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF for transition t₁₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF for transition t₁₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₆+1) :|: 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF for transition t₁₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 15 < X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF for transition t₁₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₇ ≤ 15 ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

5⋅X₃+X₂+1 {O(n)}

MPRF for transition t₁₆: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

5⋅X₃+X₂+1 {O(n)}

MPRF for transition t₁₈: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l2(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

3⋅X₂+7⋅X₃+2 {O(n)}

MPRF for transition t₁₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ < 0 ∧ X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

5⋅X₃+X₂+1 {O(n)}

MPRF for transition t₂₀: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₁ ∧ X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

2⋅X₂+2⋅X₃+14 {O(n)}

MPRF for transition t₂₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

5⋅X₃+X₂+1 {O(n)}

MPRF for transition t₂₂: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇-16, X₈) :|: X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ of depth 1:

new bound:

2⋅X₂+2⋅X₃ {O(n)}

MPRF for transition t₂₃: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₀, X₁, X₂, X₃, X₄, X₅+1, X₈, X₇, X₈) :|: X₈ ≤ 1+X₆ ∧ 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ of depth 1:

new bound:

5⋅X₃+X₂+1 {O(n)}

All Bounds

Timebounds

Overall timebound:29⋅X₂+57⋅X₃+37 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂+X₃+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₂+X₃+1 {O(n)}
t₅: 5⋅X₃+X₂+2 {O(n)}
t₆: 1 {O(1)}
t₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₉: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₀: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₁: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₂: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₃: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₄: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₅: 5⋅X₃+X₂+1 {O(n)}
t₁₆: 5⋅X₃+X₂+1 {O(n)}
t₁₈: 3⋅X₂+7⋅X₃+2 {O(n)}
t₁₉: 5⋅X₃+X₂+1 {O(n)}
t₂₀: 2⋅X₂+2⋅X₃+14 {O(n)}
t₂₁: 5⋅X₃+X₂+1 {O(n)}
t₂₂: 2⋅X₂+2⋅X₃ {O(n)}
t₂₃: 5⋅X₃+X₂+1 {O(n)}
t₂₄: 1 {O(1)}

Costbounds

Overall costbound: 29⋅X₂+57⋅X₃+37 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂+X₃+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₂+X₃+1 {O(n)}
t₅: 5⋅X₃+X₂+2 {O(n)}
t₆: 1 {O(1)}
t₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₉: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₀: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₁: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₂: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₃: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₄: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₅: 5⋅X₃+X₂+1 {O(n)}
t₁₆: 5⋅X₃+X₂+1 {O(n)}
t₁₈: 3⋅X₂+7⋅X₃+2 {O(n)}
t₁₉: 5⋅X₃+X₂+1 {O(n)}
t₂₀: 2⋅X₂+2⋅X₃+14 {O(n)}
t₂₁: 5⋅X₃+X₂+1 {O(n)}
t₂₂: 2⋅X₂+2⋅X₃ {O(n)}
t₂₃: 5⋅X₃+X₂+1 {O(n)}
t₂₄: 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)}
t₀, X₈: X₈ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₃ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: 2⋅X₃+X₂+1 {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₃, X₀: 2⋅X₀ {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₃, X₄: 3⋅X₃+X₂+1 {O(n)}
t₃, X₅: 2⋅X₃ {O(n)}
t₃, X₆: 0 {O(1)}
t₃, X₇: 2⋅X₇ {O(n)}
t₃, X₈: 2⋅X₈ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: 2⋅X₃+X₂+1 {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}
t₄, X₈: X₈ {O(n)}
t₅, X₂: 2⋅X₂ {O(n)}
t₅, X₃: 2⋅X₃ {O(n)}
t₅, X₄: 3⋅X₃+X₂+1 {O(n)}
t₅, X₅: 7⋅X₃+X₂+1 {O(n)}
t₅, X₆: 5⋅X₃+X₂+1 {O(n)}
t₅, X₇: 2⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₅, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₆, X₂: 4⋅X₂ {O(n)}
t₆, X₃: 4⋅X₃ {O(n)}
t₆, X₄: 2⋅X₂+6⋅X₃+2 {O(n)}
t₆, X₅: 9⋅X₃+X₂+1 {O(n)}
t₆, X₆: 5⋅X₃+X₂+1 {O(n)}
t₆, X₇: 4⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₆, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₇, X₂: 2⋅X₂ {O(n)}
t₇, X₃: 2⋅X₃ {O(n)}
t₇, X₄: 3⋅X₃+X₂+1 {O(n)}
t₇, X₅: 7⋅X₃+X₂+1 {O(n)}
t₇, X₆: 5⋅X₃+X₂+1 {O(n)}
t₇, X₇: 2⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₇, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₉, X₂: 2⋅X₂ {O(n)}
t₉, X₃: 2⋅X₃ {O(n)}
t₉, X₄: 3⋅X₃+X₂+1 {O(n)}
t₉, X₅: 7⋅X₃+X₂+1 {O(n)}
t₉, X₆: 5⋅X₃+X₂+1 {O(n)}
t₉, X₇: 2⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₉, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₁₀, X₂: 2⋅X₂ {O(n)}
t₁₀, X₃: 2⋅X₃ {O(n)}
t₁₀, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₀, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₀, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₀, X₇: 2⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₁₀, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₁₁, X₂: 2⋅X₂ {O(n)}
t₁₁, X₃: 2⋅X₃ {O(n)}
t₁₁, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₁, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₁, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₁, X₇: 2⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₁₁, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₁₂, X₀: 0 {O(1)}
t₁₂, X₂: 2⋅X₂ {O(n)}
t₁₂, X₃: 2⋅X₃ {O(n)}
t₁₂, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₂, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₂, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₂, X₇: 5⋅X₃+X₂+1 {O(n)}
t₁₂, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₁₃, X₂: 2⋅X₂ {O(n)}
t₁₃, X₃: 2⋅X₃ {O(n)}
t₁₃, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₃, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₃, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₃, X₇: 2⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₁₃, X₈: 10⋅X₃+2⋅X₂+4 {O(n)}
t₁₄, X₀: 0 {O(1)}
t₁₄, X₂: 2⋅X₂ {O(n)}
t₁₄, X₃: 2⋅X₃ {O(n)}
t₁₄, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₄, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₄, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₄, X₇: 5⋅X₃+X₂+1 {O(n)}
t₁₄, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₁₅, X₀: 0 {O(1)}
t₁₅, X₂: 2⋅X₂ {O(n)}
t₁₅, X₃: 2⋅X₃ {O(n)}
t₁₅, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₅, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₅, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₅, X₇: 15 {O(1)}
t₁₅, X₈: 0 {O(1)}
t₁₆, X₀: 0 {O(1)}
t₁₆, X₂: 2⋅X₂ {O(n)}
t₁₆, X₃: 2⋅X₃ {O(n)}
t₁₆, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₆, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₆, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₆, X₇: 5⋅X₃+X₂+1 {O(n)}
t₁₆, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₁₈, X₀: 0 {O(1)}
t₁₈, X₂: 2⋅X₂ {O(n)}
t₁₈, X₃: 2⋅X₃ {O(n)}
t₁₈, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₈, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₈, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₈, X₇: 5⋅X₃+X₂+1 {O(n)}
t₁₈, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₁₉, X₀: 0 {O(1)}
t₁₉, X₂: 2⋅X₂ {O(n)}
t₁₉, X₃: 2⋅X₃ {O(n)}
t₁₉, X₄: 3⋅X₃+X₂+1 {O(n)}
t₁₉, X₅: 7⋅X₃+X₂+1 {O(n)}
t₁₉, X₆: 5⋅X₃+X₂+1 {O(n)}
t₁₉, X₇: 5⋅X₃+X₂+1 {O(n)}
t₁₉, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₂₀, X₀: 0 {O(1)}
t₂₀, X₂: 2⋅X₂ {O(n)}
t₂₀, X₃: 2⋅X₃ {O(n)}
t₂₀, X₄: 3⋅X₃+X₂+1 {O(n)}
t₂₀, X₅: 7⋅X₃+X₂+1 {O(n)}
t₂₀, X₆: 5⋅X₃+X₂+1 {O(n)}
t₂₀, X₇: 5⋅X₃+X₂+1 {O(n)}
t₂₀, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₂₁, X₀: 0 {O(1)}
t₂₁, X₁: 0 {O(1)}
t₂₁, X₂: 2⋅X₂ {O(n)}
t₂₁, X₃: 2⋅X₃ {O(n)}
t₂₁, X₄: 3⋅X₃+X₂+1 {O(n)}
t₂₁, X₅: 7⋅X₃+X₂+1 {O(n)}
t₂₁, X₆: 5⋅X₃+X₂+1 {O(n)}
t₂₁, X₇: 5⋅X₃+X₂+1 {O(n)}
t₂₁, X₈: 0 {O(1)}
t₂₂, X₀: 0 {O(1)}
t₂₂, X₂: 2⋅X₂ {O(n)}
t₂₂, X₃: 2⋅X₃ {O(n)}
t₂₂, X₄: 3⋅X₃+X₂+1 {O(n)}
t₂₂, X₅: 7⋅X₃+X₂+1 {O(n)}
t₂₂, X₆: 5⋅X₃+X₂+1 {O(n)}
t₂₂, X₇: 5⋅X₃+X₂+1 {O(n)}
t₂₂, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}
t₂₃, X₂: 2⋅X₂ {O(n)}
t₂₃, X₃: 2⋅X₃ {O(n)}
t₂₃, X₄: 3⋅X₃+X₂+1 {O(n)}
t₂₃, X₅: 7⋅X₃+X₂+1 {O(n)}
t₂₃, X₆: 5⋅X₃+X₂+1 {O(n)}
t₂₃, X₇: 2⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₂₃, X₈: 10⋅X₃+2⋅X₂+4 {O(n)}
t₂₄, X₂: 4⋅X₂ {O(n)}
t₂₄, X₃: 4⋅X₃ {O(n)}
t₂₄, X₄: 2⋅X₂+6⋅X₃+2 {O(n)}
t₂₄, X₅: 9⋅X₃+X₂+1 {O(n)}
t₂₄, X₆: 5⋅X₃+X₂+1 {O(n)}
t₂₄, X₇: 4⋅X₇+5⋅X₃+X₂+16 {O(n)}
t₂₄, X₈: 10⋅X₃+2⋅X₂+2⋅X₈+4 {O(n)}