Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: nondef_0
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l17, l18, l19, l2, l20, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅)
t₂₀: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 < X₂ ∧ 0 < X₂
t₂₁: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₄-1, X₄, X₅) :|: 0 < X₂ ∧ X₂ ≤ 0
t₂₂: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₃-1, X₃, X₅) :|: X₂ ≤ 0 ∧ 0 < X₂
t₂₃: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₄-1, X₃, X₅) :|: X₂ ≤ 0 ∧ X₂ ≤ 0
t₁₈: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₉: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, nondef_0, X₃, X₄, X₅)
t₆: l13(X₀, X₁, X₂, X₃, X₄, X₅) → l16(2⋅X₅, X₁, X₂, X₃, X₄, X₅)
t₂₄: l14(X₀, X₁, X₂, X₃, X₄, X₅) → l20(X₀, X₁, X₂, X₃, X₄, X₅)
t₈: l15(X₀, X₁, X₂, X₃, X₄, X₅) → l17(X₀, 2⋅X₅, X₂, X₃, X₄, X₅)
t₇: l16(X₀, X₁, X₂, X₃, X₄, X₅) → l15(X₀, X₁, X₂, X₃, X₄, X₅)
t₉: l17(X₀, X₁, X₂, X₃, X₄, X₅) → l18(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₀: l18(X₀, X₁, X₂, X₃, X₄, X₅) → l19(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₁: l19(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅)
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₄, X₅)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l13(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l14(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ < 0
t₁₄: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l8(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₂: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l7(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₃: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₅: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₀, X₁, X₅)
t₁₆: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₃
t₁₇: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l14(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ < X₅
Preprocessing
Cut unsatisfiable transition t₂₁: l10→l9
Cut unsatisfiable transition t₂₂: l10→l9
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l11
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l6
Found invariant X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀ for location l15
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l19
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l12
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l17
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l7
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l5
Found invariant 0 ≤ X₅ for location l13
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l8
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l10
Found invariant X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀ for location l16
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l18
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l9
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: nondef_0
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l17, l18, l19, l2, l20, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅)
t₂₀: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 < X₂ ∧ 0 < X₂ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₃: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₄-1, X₃, X₅) :|: X₂ ≤ 0 ∧ X₂ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₈: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₉: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, nondef_0, X₃, X₄, X₅) :|: X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₆: l13(X₀, X₁, X₂, X₃, X₄, X₅) → l16(2⋅X₅, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅
t₂₄: l14(X₀, X₁, X₂, X₃, X₄, X₅) → l20(X₀, X₁, X₂, X₃, X₄, X₅)
t₈: l15(X₀, X₁, X₂, X₃, X₄, X₅) → l17(X₀, 2⋅X₅, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀
t₇: l16(X₀, X₁, X₂, X₃, X₄, X₅) → l15(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀
t₉: l17(X₀, X₁, X₂, X₃, X₄, X₅) → l18(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₀: l18(X₀, X₁, X₂, X₃, X₄, X₅) → l19(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₁: l19(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₄, X₅)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l13(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l14(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ < 0
t₁₄: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l8(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₂: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l7(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₃: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₅: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₀, X₁, X₅) :|: X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₆: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₃ ∧ X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₁₇: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l14(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ < X₅ ∧ X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
MPRF for transition t₁₆: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₃ ∧ X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₅+2 {O(n)}
MPRF for transition t₁₈: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
MPRF for transition t₁₉: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, nondef_0, X₃, X₄, X₅) :|: X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
MPRF for transition t₂₀: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 < X₂ ∧ 0 < X₂ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
MPRF for transition t₂₃: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂, X₄-1, X₃, X₅) :|: X₂ ≤ 0 ∧ X₂ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
All Bounds
Timebounds
Overall timebound:20⋅X₅+24 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 4⋅X₅+2 {O(n)}
t₁₇: 1 {O(1)}
t₁₈: 4⋅X₅+1 {O(n)}
t₁₉: 4⋅X₅+1 {O(n)}
t₂₀: 4⋅X₅+1 {O(n)}
t₂₃: 4⋅X₅+1 {O(n)}
t₂₄: 1 {O(1)}
Costbounds
Overall costbound: 20⋅X₅+24 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 4⋅X₅+2 {O(n)}
t₁₇: 1 {O(1)}
t₁₈: 4⋅X₅+1 {O(n)}
t₁₉: 4⋅X₅+1 {O(n)}
t₂₀: 4⋅X₅+1 {O(n)}
t₂₃: 4⋅X₅+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)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₆, X₀: 2⋅X₅ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₇, X₀: 2⋅X₅ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₈, X₀: 2⋅X₅ {O(n)}
t₈, X₁: 2⋅X₅ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₉, X₀: 2⋅X₅ {O(n)}
t₉, X₁: 2⋅X₅ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₁₀, X₀: 2⋅X₅ {O(n)}
t₁₀, X₁: 2⋅X₅ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₁, X₀: 2⋅X₅ {O(n)}
t₁₁, X₁: 2⋅X₅ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₂, X₀: 2⋅X₅ {O(n)}
t₁₂, X₁: 2⋅X₅ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₃, X₀: 2⋅X₅ {O(n)}
t₁₃, X₁: 2⋅X₅ {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₄, X₀: 2⋅X₅ {O(n)}
t₁₄, X₁: 2⋅X₅ {O(n)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₅, X₀: 2⋅X₅ {O(n)}
t₁₅, X₁: 2⋅X₅ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: 2⋅X₅ {O(n)}
t₁₅, X₄: 2⋅X₅ {O(n)}
t₁₅, X₅: X₅ {O(n)}
t₁₆, X₀: 2⋅X₅ {O(n)}
t₁₆, X₁: 2⋅X₅ {O(n)}
t₁₆, X₃: 4⋅X₅+1 {O(n)}
t₁₆, X₄: 4⋅X₅+1 {O(n)}
t₁₆, X₅: X₅ {O(n)}
t₁₇, X₀: 4⋅X₅ {O(n)}
t₁₇, X₁: 4⋅X₅ {O(n)}
t₁₇, X₃: 8⋅X₅+2 {O(n)}
t₁₇, X₄: 8⋅X₅+2 {O(n)}
t₁₇, X₅: 2⋅X₅ {O(n)}
t₁₈, X₀: 2⋅X₅ {O(n)}
t₁₈, X₁: 2⋅X₅ {O(n)}
t₁₈, X₃: 4⋅X₅+1 {O(n)}
t₁₈, X₄: 4⋅X₅+1 {O(n)}
t₁₈, X₅: X₅ {O(n)}
t₁₉, X₀: 2⋅X₅ {O(n)}
t₁₉, X₁: 2⋅X₅ {O(n)}
t₁₉, X₃: 4⋅X₅+1 {O(n)}
t₁₉, X₄: 4⋅X₅+1 {O(n)}
t₁₉, X₅: X₅ {O(n)}
t₂₀, X₀: 2⋅X₅ {O(n)}
t₂₀, X₁: 2⋅X₅ {O(n)}
t₂₀, X₃: 4⋅X₅+1 {O(n)}
t₂₀, X₄: 4⋅X₅+1 {O(n)}
t₂₀, X₅: X₅ {O(n)}
t₂₃, X₀: 2⋅X₅ {O(n)}
t₂₃, X₁: 2⋅X₅ {O(n)}
t₂₃, X₃: 4⋅X₅+1 {O(n)}
t₂₃, X₄: 4⋅X₅+1 {O(n)}
t₂₃, X₅: X₅ {O(n)}
t₂₄, X₀: 4⋅X₅+X₀ {O(n)}
t₂₄, X₁: 4⋅X₅+X₁ {O(n)}
t₂₄, X₃: 8⋅X₅+X₃+2 {O(n)}
t₂₄, X₄: 8⋅X₅+X₄+2 {O(n)}
t₂₄, X₅: 3⋅X₅ {O(n)}