Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ nondef.1 ≤ 0 ∧ 0 ≤ nondef.1 ∧ nondef.1 ≤ 1 ∧ 1 ≤ nondef.1
t₂₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: X₆ < X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 < 2 ∧ nondef.1 ≤ 1 ∧ 1 ≤ nondef.1
t₂₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: X₅ < X₆ ∧ nondef.1 ≤ 0 ∧ 0 < 2+nondef.1 ∧ nondef.1 ≤ 1 ∧ 1 ≤ nondef.1
t₂₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ nondef.1 ≤ 0 ∧ 0 ≤ nondef.1 ∧ nondef.1 < 1
t₂₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ nondef.1 ≤ 0 ∧ 0 ≤ nondef.1 ∧ 1 < nondef.1
t₂₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ < X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 < 2 ∧ nondef.1 < 1
t₂₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ < X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 < 2 ∧ 1 < nondef.1
t₂₇: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₅ < X₆ ∧ nondef.1 ≤ 0 ∧ 0 < 2+nondef.1 ∧ nondef.1 < 1
t₂₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₅ < X₆ ∧ nondef.1 ≤ 0 ∧ 0 < 2+nondef.1 ∧ 1 < nondef.1
t₄: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆)
t₃₀: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₀, X₁, X₂, X₃, X₃+1, X₅, X₆-1)
t₁₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ 0 ≤ X₀
t₁₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₂
t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ < 0 ∧ X₂+1 < X₁
t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀ ∧ X₂+1 < X₁
t₁₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ < X₂ ∧ X₆ < X₅ ∧ X₆ < 1
t₁₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ < X₂ ∧ X₆ < X₅ ∧ 1 < X₆
t₁₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ < X₂ ∧ X₅ < X₆ ∧ X₆ < 1
t₁₆: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ < X₂ ∧ X₅ < X₆ ∧ 1 < X₆
t₁₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₂ ≤ X₄
t₁₈: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₉: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ 1 ∧ 1 ≤ X₆
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₂: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆)
t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₆
t₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ 0
t₁: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₀, X₁, X₂, X₃, 0, X₅, X₅)
Preprocessing
Cut unsatisfiable transition t₂₀: l1→l2
Cut unsatisfiable transition t₂₂: l1→l2
Cut unsatisfiable transition t₂₃: l1→l2
Cut unsatisfiable transition t₂₄: l1→l2
Cut unsatisfiable transition t₂₆: l1→l2
Cut unsatisfiable transition t₂₈: l1→l2
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ 0 ≤ X₄ for location l11
Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ X₃ ≤ X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ 1+X₂ for location l2
Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location l6
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ 0 ≤ X₄ for location l12
Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₂ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location l7
Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location l5
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₄ for location l8
Found invariant 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₂+X₅ ∧ 1+X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂ for location l1
Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₄ for location l10
Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location l4
Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location l3
Cut unsatisfiable transition t₂₇: l1→l2
Cut unsatisfiable transition t₁₃: l4→l1
Cut unsatisfiable transition t₁₅: l4→l1
Cut unsatisfiable transition t₁₆: l4→l1
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: X₆ < X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 < 2 ∧ nondef.1 ≤ 1 ∧ 1 ≤ nondef.1 ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₂+X₅ ∧ 1+X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂
t₂₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ < X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 < 2 ∧ nondef.1 < 1 ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₂+X₅ ∧ 1+X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂
t₄: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₄
t₃₀: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ 0 ≤ X₄
t₂₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₀, X₁, X₂, X₃, X₃+1, X₅, X₆-1) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ X₃ ≤ X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ 1+X₂
t₁₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₁₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₂ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ < 0 ∧ X₂+1 < X₁ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀ ∧ X₂+1 < X₁ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₁₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ < X₂ ∧ X₆ < X₅ ∧ 1 < X₆ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₁₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₂ ≤ X₄ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₁₈: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₁₉: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ 1 ∧ 1 ≤ X₆ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
t₁₂: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₂ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₁
t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₄
t₃: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ 0 ≤ X₄
t₁: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₀, X₁, X₂, X₃, 0, X₅, X₅)
MPRF for transition t₂₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: X₆ < X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 < 2 ∧ nondef.1 ≤ 1 ∧ 1 ≤ nondef.1 ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₂+X₅ ∧ 1+X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂ of depth 1:
new bound:
X₅+1 {O(n)}
MPRF:
l1 [X₆-1 ]
l4 [X₆-1 ]
l2 [X₃+X₆-X₂-1 ]
l6 [X₆-1 ]
l3 [X₆-1 ]
l7 [X₆-1 ]
l5 [X₆-1 ]
l8 [X₆-1 ]
l10 [X₆-1 ]
MPRF for transition t₂₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ < X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 < 2 ∧ nondef.1 < 1 ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₂+X₅ ∧ 1+X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂ of depth 1:
new bound:
X₅+1 {O(n)}
MPRF:
l1 [X₆-1 ]
l4 [X₆-1 ]
l2 [X₆-2 ]
l6 [X₆-1 ]
l3 [X₆-1 ]
l7 [X₆-1 ]
l5 [X₆-1 ]
l8 [X₆-1 ]
l10 [X₆-1 ]
MPRF for transition t₄: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₄ of depth 1:
new bound:
X₅+1 {O(n)}
MPRF:
l1 [X₆ ]
l4 [X₆ ]
l2 [X₆ ]
l6 [X₆ ]
l3 [X₆ ]
l7 [X₆ ]
l5 [X₆ ]
l8 [X₆+1 ]
l10 [X₆+1 ]
MPRF for transition t₂₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₀, X₁, X₂, X₃, X₃+1, X₅, X₆-1) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ X₃ ≤ X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₅ {O(n)}
MPRF:
l1 [X₆ ]
l4 [X₆ ]
l2 [X₆ ]
l6 [X₆ ]
l3 [X₆ ]
l7 [X₆ ]
l5 [X₆ ]
l8 [X₆ ]
l10 [X₆ ]
MPRF for transition t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ < 0 ∧ X₂+1 < X₁ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
2⋅X₁+1 {O(n)}
MPRF:
l1 [2⋅X₁-X₂-X₄ ]
l4 [2⋅X₁-X₂-X₄ ]
l2 [2⋅X₁-2⋅X₃-1 ]
l6 [2⋅X₁-X₂-X₄ ]
l3 [2⋅X₁-X₂-X₄ ]
l7 [2⋅X₁-X₂-X₄-1 ]
l5 [2⋅X₁-X₂-X₄ ]
l8 [2⋅X₁+1-2⋅X₄ ]
l10 [2⋅X₁+1-2⋅X₄ ]
MPRF for transition t₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀ ∧ X₂+1 < X₁ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₁+X₅+1 {O(n)}
MPRF:
l1 [X₁+X₆-X₂ ]
l4 [X₁+X₆-X₂ ]
l2 [X₁+X₆-X₃-1 ]
l6 [X₁+X₆-X₂ ]
l3 [X₁+X₆-X₂ ]
l7 [X₁+X₆-X₂-1 ]
l5 [X₁+X₆-X₂ ]
l8 [X₁+X₆+1-X₄ ]
l10 [X₁+X₆+1-X₄ ]
MPRF for transition t₁₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₅+1 {O(n)}
MPRF:
l1 [X₆ ]
l4 [X₆ ]
l2 [X₆ ]
l6 [X₆+1 ]
l3 [X₆+1 ]
l7 [X₆+1 ]
l5 [X₆+1 ]
l8 [X₆+1 ]
l10 [X₆+1 ]
MPRF for transition t₁₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₂ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₅ {O(n)}
MPRF:
l1 [X₆-1 ]
l4 [X₆-1 ]
l2 [X₆-1 ]
l6 [X₆ ]
l3 [X₆ ]
l7 [X₆ ]
l5 [X₆ ]
l8 [X₆ ]
l10 [X₆ ]
MPRF for transition t₁₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ < X₂ ∧ X₆ < X₅ ∧ 1 < X₆ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₅ {O(n)}
MPRF:
l1 [X₆-1 ]
l4 [X₆ ]
l2 [X₆-1 ]
l6 [X₆ ]
l3 [X₆ ]
l7 [X₆ ]
l5 [X₆ ]
l8 [X₆ ]
l10 [X₆ ]
MPRF for transition t₁₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₂ ≤ X₄ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₅ {O(n)}
MPRF:
l1 [X₆ ]
l4 [X₆ ]
l2 [X₆-1 ]
l6 [X₆ ]
l3 [X₆ ]
l7 [X₆ ]
l5 [X₆ ]
l8 [X₆ ]
l10 [X₆ ]
MPRF for transition t₁₈: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₅ {O(n)}
MPRF:
l1 [X₆ ]
l4 [X₆ ]
l2 [X₆-1 ]
l6 [X₆ ]
l3 [X₆ ]
l7 [X₆ ]
l5 [X₆ ]
l8 [X₆ ]
l10 [X₆ ]
MPRF for transition t₁₉: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ 1 ∧ 1 ≤ X₆ ∧ X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ of depth 1:
new bound:
X₅ {O(n)}
MPRF:
l1 [X₆-1 ]
l4 [X₆ ]
l2 [X₆-1 ]
l6 [X₆ ]
l3 [X₆ ]
l7 [X₆ ]
l5 [X₆ ]
l8 [X₆ ]
l10 [X₆ ]
MPRF for transition t₁₂: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₂ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₁ of depth 1:
new bound:
2⋅X₁+1 {O(n)}
MPRF:
l1 [2⋅X₁-X₂-X₄ ]
l4 [2⋅X₁-X₂-X₄ ]
l2 [2⋅X₁-2⋅X₃-1 ]
l6 [2⋅X₁-X₂-X₄ ]
l3 [2⋅X₁-X₂-X₄ ]
l7 [2⋅X₁-X₂-X₄ ]
l5 [2⋅X₁-X₂-X₄ ]
l8 [2⋅X₁+1-2⋅X₄ ]
l10 [2⋅X₁+1-2⋅X₄ ]
MPRF for transition t₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₄ of depth 1:
new bound:
X₅ {O(n)}
MPRF:
l1 [X₆-1 ]
l4 [X₆-1 ]
l2 [X₆-1 ]
l6 [X₆-1 ]
l3 [X₆-1 ]
l7 [X₆-1 ]
l5 [X₆-1 ]
l8 [X₆ ]
l10 [X₆-1 ]
knowledge_propagation leads to new time bound 2⋅X₁+X₅+2 {O(n)} for transition t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
knowledge_propagation leads to new time bound 2⋅X₁+X₅+2 {O(n)} for transition t₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂
All Bounds
Timebounds
Overall timebound:14⋅X₅+9⋅X₁+15 {O(n)}
t₀: 1 {O(1)}
t₂₁: X₅+1 {O(n)}
t₂₅: X₅+1 {O(n)}
t₄: X₅+1 {O(n)}
t₃₀: 1 {O(1)}
t₂₉: X₅ {O(n)}
t₈: 2⋅X₁+1 {O(n)}
t₉: X₁+X₅+1 {O(n)}
t₁₀: X₅+1 {O(n)}
t₁₁: X₅ {O(n)}
t₁₄: X₅ {O(n)}
t₁₇: X₅ {O(n)}
t₁₈: X₅ {O(n)}
t₁₉: X₅ {O(n)}
t₅: 2⋅X₁+X₅+2 {O(n)}
t₇: 2⋅X₁+X₅+2 {O(n)}
t₁₂: 2⋅X₁+1 {O(n)}
t₂: X₅ {O(n)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
Costbounds
Overall costbound: 14⋅X₅+9⋅X₁+15 {O(n)}
t₀: 1 {O(1)}
t₂₁: X₅+1 {O(n)}
t₂₅: X₅+1 {O(n)}
t₄: X₅+1 {O(n)}
t₃₀: 1 {O(1)}
t₂₉: X₅ {O(n)}
t₈: 2⋅X₁+1 {O(n)}
t₉: X₁+X₅+1 {O(n)}
t₁₀: X₅+1 {O(n)}
t₁₁: X₅ {O(n)}
t₁₄: X₅ {O(n)}
t₁₇: X₅ {O(n)}
t₁₈: X₅ {O(n)}
t₁₉: X₅ {O(n)}
t₅: 2⋅X₁+X₅+2 {O(n)}
t₇: 2⋅X₁+X₅+2 {O(n)}
t₁₂: 2⋅X₁+1 {O(n)}
t₂: X₅ {O(n)}
t₃: 1 {O(1)}
t₁: 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)}
t₂₁, X₁: X₁ {O(n)}
t₂₁, X₂: 2⋅X₁+X₅+2 {O(n)}
t₂₁, X₃: 2⋅X₁+X₅+2 {O(n)}
t₂₁, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₂₁, X₅: X₅ {O(n)}
t₂₁, X₆: X₅+1 {O(n)}
t₂₅, X₁: X₁ {O(n)}
t₂₅, X₂: 2⋅X₁+X₅+2 {O(n)}
t₂₅, X₃: 2⋅X₁+X₅+2 {O(n)}
t₂₅, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₂₅, X₅: X₅ {O(n)}
t₂₅, X₆: X₅+1 {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: 2⋅X₁+X₅+2 {O(n)}
t₄, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₄, X₄: 2⋅X₁+X₅+2 {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₅+1 {O(n)}
t₃₀, X₁: 2⋅X₁ {O(n)}
t₃₀, X₂: 16⋅X₁+8⋅X₅+X₂+16 {O(n)}
t₃₀, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₃₀, X₄: 2⋅X₁+X₅+2 {O(n)}
t₃₀, X₅: 2⋅X₅ {O(n)}
t₃₀, X₆: 2⋅X₅+1 {O(n)}
t₂₉, X₁: X₁ {O(n)}
t₂₉, X₂: 16⋅X₁+8⋅X₅+16 {O(n)}
t₂₉, X₃: 10⋅X₁+5⋅X₅+10 {O(n)}
t₂₉, X₄: 2⋅X₁+X₅+2 {O(n)}
t₂₉, X₅: X₅ {O(n)}
t₂₉, X₆: X₅+1 {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: 2⋅X₁+X₅+2 {O(n)}
t₈, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₈, X₄: 2⋅X₁+X₅+2 {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₅+1 {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: 2⋅X₁+X₅+2 {O(n)}
t₉, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₉, X₄: 2⋅X₁+X₅+2 {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₅+1 {O(n)}
t₁₀, X₀: 0 {O(1)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₀, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₁₀, X₄: 2⋅X₁+X₅+2 {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₅+1 {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₁, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₁₁, X₄: 2⋅X₁+X₅+2 {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₅+1 {O(n)}
t₁₄, X₁: X₁ {O(n)}
t₁₄, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₄, X₃: 10⋅X₅+2⋅X₃+20⋅X₁+20 {O(n)}
t₁₄, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₄, X₆: X₅+1 {O(n)}
t₁₇, X₁: X₁ {O(n)}
t₁₇, X₂: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₇, X₃: 2⋅X₁+X₅+2 {O(n)}
t₁₇, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₇, X₅: X₅ {O(n)}
t₁₇, X₆: X₅+1 {O(n)}
t₁₈, X₁: X₁ {O(n)}
t₁₈, X₂: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₈, X₃: 2⋅X₁+X₅+2 {O(n)}
t₁₈, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₈, X₅: X₅ {O(n)}
t₁₈, X₆: X₅+1 {O(n)}
t₁₉, X₁: X₁ {O(n)}
t₁₉, X₂: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₉, X₃: 2⋅X₁+X₅+2 {O(n)}
t₁₉, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₉, X₅: X₅ {O(n)}
t₁₉, X₆: 1 {O(1)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: 2⋅X₁+X₅+2 {O(n)}
t₅, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₅, X₄: 2⋅X₁+X₅+2 {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₅+1 {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: 2⋅X₁+X₅+2 {O(n)}
t₇, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₇, X₄: 2⋅X₁+X₅+2 {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₅+1 {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₂, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₁₂, X₄: 2⋅X₁+X₅+2 {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₂, X₆: X₅+1 {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: 16⋅X₁+8⋅X₅+X₂+16 {O(n)}
t₂, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₂, X₄: 2⋅X₁+X₅+2 {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₅+1 {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₃, X₂: 16⋅X₁+8⋅X₅+X₂+16 {O(n)}
t₃, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₃, X₄: 2⋅X₁+X₅+2 {O(n)}
t₃, X₅: 2⋅X₅ {O(n)}
t₃, X₆: 2⋅X₅+1 {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: 0 {O(1)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₅ {O(n)}