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, X₂₃, X₂₄, X₂₅, X₂₆
Temp_Vars: B1, C1, D1, E1, F1, G1, H1, I1
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l17, l2, l3, l4, l5, l6, l7, l8, l9
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, X₂₃, X₂₄, X₂₅, X₂₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆)
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, X₂₃, X₂₄, X₂₅, X₂₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₁ ≤ X₀
t₄₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₁
t₄₀: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l1(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₂
t₂: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l10(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₂ ≤ X₀
t₃: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l11(X₀, X₁+1, X₂, B1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₁ ≤ X₀
t₃₉: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₁
t₃₇: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l13(X₀, X₁, X₂, X₃, X₄, 0, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₀ ≤ X₁ ∧ X₅ ≤ 0 ∧ 0 ≤ X₅
t₅: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₁ ≤ X₀
t₃₅: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₀ ≤ X₁ ∧ X₅+1 ≤ 0
t₃₆: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₀ ≤ X₁ ∧ 1 ≤ X₅
t₃₄: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l12(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₂
t₆: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l14(X₀, X₁, X₂+1, X₃, X₄, X₅+B1, B1, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₂ ≤ X₀
t₇: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, B1, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₄ ≤ 3
t₈: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 4 ≤ X₄
t₁₇: l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, B1-C1, D1, E1, F1, G1, H1, I1, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₇ ≤ X₈ ∧ D1+X₁₀+1 ≤ E1
t₁₈: l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, B1-C1, D1, E1, F1, G1, H1, I1, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₇ ≤ X₈ ∧ 1+E1 ≤ D1+X₁₀
t₂₀: l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, B1, C1, C1+X₁₀, D1, X₁₉, X₂₀, X₂₁, E1, F1, G1, H1, X₂₆) :|: 1+X₇ ≤ X₈
t₁₀: l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l6(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₈ ≤ X₇
t₁₉: l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, B1, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, C1, D1, E1, F1, X₂₆) :|: 0 ≤ X₁₉
t₂₁: l17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, B1, X₁₆, X₁₇, -X₁₈, X₁₉, X₂₀, X₂₁, C1, D1, E1, F1, X₂₆) :|: X₁₉+1 ≤ 0
t₂₃: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, B1, X₁₁, X₁₂, X₁₃, X₁₄, C1, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆+1) :|: 1+X₂₆ ≤ X₂
t₃₀: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₂ ≤ X₂₆
t₂₄: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, B1, X₁₁, X₁₂, X₁₃, X₁₄, C1, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆+1) :|: X₂₆ ≤ X₀
t₂₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₂₆
t₃₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₁ ≤ X₂₆
t₂₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, B1, X₁₁, X₁₂, X₁₃, X₁₄, C1, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆+1) :|: 1+X₂₆ ≤ X₁
t₂₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, B1, X₁₁, X₁₂, X₁₃, X₁₄, C1, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆+1) :|: X₂₆ ≤ X₀
t₂₈: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l6(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₂₆
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, X₂₃, X₂₄, X₂₅, X₂₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, D1, B1, C1, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₂ ≤ X₀ ∧ X₄ ≤ 4
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, X₂₃, X₂₄, X₂₅, X₂₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, G1, B1, C1, D1, D1+C1, E1, F1, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 5 ≤ X₄ ∧ X₂ ≤ X₀ ∧ E1+C1+1 ≤ F1
t₁₄: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, G1, B1, C1, D1, D1+C1, E1, F1, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 5 ≤ X₄ ∧ X₂ ≤ X₀ ∧ 1+F1 ≤ E1+C1
t₁₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, F1, B1, C1, D1, E1, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 5 ≤ X₄ ∧ X₂ ≤ X₀ ∧ D1+C1+1 ≤ E1
t₁₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, F1, B1, C1, D1, E1, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 5 ≤ X₄ ∧ X₂ ≤ X₀ ∧ 1+E1 ≤ D1+C1
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, X₂₃, X₂₄, X₂₅, X₂₆) → l6(X₀, X₁, X₂+1, X₃, X₄, X₅, X₆, X₇, X₈, B1, C1, D1, D1+C1, E1, E1+C1, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₂ ≤ X₀ ∧ 5 ≤ X₄
t₃₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l9(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₂
t₂₆: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l7(X₀, X₁+1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₁ ≤ X₀
t₂₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l8(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₁
t₄: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l12(X₀, X₁, X₂, X₃, X₄, 0, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₄ ≤ 50
t₃₈: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 51 ≤ X₄
t₉: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₁ ≤ X₀
t₃₃: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₀ ≤ X₁

Preprocessing

Cut unsatisfiable transition t₃: l11→l11

Cut unsatisfiable transition t₂₅: l5→l5

Eliminate variables {H1,I1,X₃,X₆,X₉,X₁₁,X₁₂,X₁₃,X₁₄,X₁₅,X₁₆,X₁₇,X₁₈,X₂₀,X₂₁,X₂₂,X₂₃,X₂₄,X₂₅} that do not contribute to the problem

Found invariant 1+X₀ ≤ X₁ for location l11

Found invariant 1 ≤ 0 for location l2

Found invariant 1 ≤ 0 for location l6

Found invariant 1 ≤ 0 for location l15

Found invariant X₄ ≤ 0 ∧ X₃+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ X₃ ≤ 50+X₄ ∧ X₃ ≤ 50 ∧ 1+X₀ ≤ X₁ for location l12

Found invariant 1 ≤ 0 for location l17

Found invariant 1 ≤ 0 for location l7

Found invariant 1 ≤ 0 for location l5

Found invariant 1+X₀ ≤ X₁ for location l13

Found invariant 1+X₀ ≤ X₁ for location l8

Found invariant X₁ ≤ X₀ for location l10

Found invariant 1 ≤ 0 for location l16

Found invariant 1 ≤ 0 for location l4

Found invariant 1 ≤ 0 for location l9

Found invariant 1 ≤ 0 for location l3

Found invariant 1 ≤ 0 for location l14

Cut unsatisfiable transition t₉₈: l12→l14

Cut unsatisfiable transition t₉₉: l12→l15

Cut unsatisfiable transition t₁₀₀: l12→l15

Cut unsatisfiable transition t₁₀₁: l14→l12

Cut unsatisfiable transition t₁₀₂: l14→l14

Cut unsatisfiable transition t₁₀₃: l15→l9

Cut unsatisfiable transition t₁₀₄: l15→l9

Cut unsatisfiable transition t₁₀₅: l16→l17

Cut unsatisfiable transition t₁₀₆: l16→l17

Cut unsatisfiable transition t₁₀₇: l16→l4

Cut unsatisfiable transition t₁₀₈: l16→l6

Cut unsatisfiable transition t₁₀₉: l17→l4

Cut unsatisfiable transition t₁₁₀: l17→l4

Cut unsatisfiable transition t₁₁₁: l2→l2

Cut unsatisfiable transition t₁₁₂: l2→l3

Cut unsatisfiable transition t₁₁₃: l3→l3

Cut unsatisfiable transition t₁₁₄: l3→l5

Cut unsatisfiable transition t₁₁₅: l4→l2

Cut unsatisfiable transition t₁₁₆: l4→l4

Cut unsatisfiable transition t₁₁₇: l5→l6

Cut unsatisfiable transition t₁₁₈: l6→l16

Cut unsatisfiable transition t₁₁₉: l6→l16

Cut unsatisfiable transition t₁₂₀: l6→l16

Cut unsatisfiable transition t₁₂₁: l6→l16

Cut unsatisfiable transition t₁₂₂: l6→l16

Cut unsatisfiable transition t₁₂₃: l6→l6

Cut unsatisfiable transition t₁₂₄: l6→l9

Cut unsatisfiable transition t₁₂₅: l7→l7

Cut unsatisfiable transition t₁₂₆: l7→l8

Cut unsatisfiable transition t₁₂₉: l9→l6

Cut unsatisfiable transition t₁₃₀: l9→l7

Cut unreachable locations [l14; l15; l16; l17; l2; l3; l4; l5; l6; l7; l9] from the program graph

Eliminate variables {X₅,X₆,X₇,X₈,X₉} that do not contribute to the problem

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l10, l11, l12, l13, l8
Transitions:
t₂₃₅: l0(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃, X₄)
t₂₃₆: l1(X₀, X₁, X₂, X₃, X₄) → l10(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ X₀
t₂₃₇: l1(X₀, X₁, X₂, X₃, X₄) → l11(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ X₁
t₂₃₈: l10(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁+1, X₂, X₃, X₄) :|: 1+X₀ ≤ X₂
t₂₃₉: l10(X₀, X₁, X₂, X₃, X₄) → l10(X₀, X₁, X₂+1, X₃, X₄) :|: X₂ ≤ X₀
t₂₄₀: l11(X₀, X₁, X₂, X₃, X₄) → l8(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ X₁
t₂₄₁: l12(X₀, X₁, X₂, X₃, X₄) → l13(X₀, X₁, X₂, X₃, 0) :|: X₀ ≤ X₁ ∧ X₄ ≤ 0 ∧ 0 ≤ X₄
t₂₄₂: l8(X₀, X₁, X₂, X₃, X₄) → l12(X₀, X₁, X₂, X₃, 0) :|: X₃ ≤ 50
t₂₄₃: l8(X₀, X₁, X₂, X₃, X₄) → l13(X₀, X₁, X₂, X₃, X₄) :|: 51 ≤ X₃

MPRF for transition t₂₃₆: l1(X₀, X₁, X₂, X₃, X₄) → l10(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ X₀ of depth 1:

new bound:

X₀+X₁+1 {O(n)}

MPRF for transition t₂₃₉: l10(X₀, X₁, X₂, X₃, X₄) → l10(X₀, X₁, X₂+1, X₃, X₄) :|: X₂ ≤ X₀ of depth 1:

new bound:

X₀+X₂+1 {O(n)}

knowledge_propagation leads to new time bound 2⋅X₀+X₁+X₂+2 {O(n)} for transition t₂₃₈: l10(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁+1, X₂, X₃, X₄) :|: 1+X₀ ≤ X₂

All Bounds

Timebounds

Overall timebound:2⋅X₁+2⋅X₂+4⋅X₀+10 {O(n)}
t₂₃₅: 1 {O(1)}
t₂₃₆: X₀+X₁+1 {O(n)}
t₂₃₇: 1 {O(1)}
t₂₃₈: 2⋅X₀+X₁+X₂+2 {O(n)}
t₂₃₉: X₀+X₂+1 {O(n)}
t₂₄₀: 1 {O(1)}
t₂₄₁: 1 {O(1)}
t₂₄₂: 1 {O(1)}
t₂₄₃: 1 {O(1)}

Costbounds

Overall costbound: 2⋅X₁+2⋅X₂+4⋅X₀+10 {O(n)}
t₂₃₅: 1 {O(1)}
t₂₃₆: X₀+X₁+1 {O(n)}
t₂₃₇: 1 {O(1)}
t₂₃₈: 2⋅X₀+X₁+X₂+2 {O(n)}
t₂₃₉: X₀+X₂+1 {O(n)}
t₂₄₀: 1 {O(1)}
t₂₄₁: 1 {O(1)}
t₂₄₂: 1 {O(1)}
t₂₄₃: 1 {O(1)}

Sizebounds

t₂₃₅, X₀: X₀ {O(n)}
t₂₃₅, X₁: X₁ {O(n)}
t₂₃₅, X₂: X₂ {O(n)}
t₂₃₅, X₃: X₃ {O(n)}
t₂₃₅, X₄: X₄ {O(n)}
t₂₃₆, X₀: X₀ {O(n)}
t₂₃₆, X₁: 2⋅X₀+2⋅X₁+X₂+2 {O(n)}
t₂₃₆, X₂: 2⋅X₂+X₀+1 {O(n)}
t₂₃₆, X₃: X₃ {O(n)}
t₂₃₆, X₄: X₄ {O(n)}
t₂₃₇, X₀: 2⋅X₀ {O(n)}
t₂₃₇, X₁: 2⋅X₀+3⋅X₁+X₂+2 {O(n)}
t₂₃₇, X₂: 3⋅X₂+X₀+1 {O(n)}
t₂₃₇, X₃: 2⋅X₃ {O(n)}
t₂₃₇, X₄: 2⋅X₄ {O(n)}
t₂₃₈, X₀: X₀ {O(n)}
t₂₃₈, X₁: 2⋅X₀+2⋅X₁+X₂+2 {O(n)}
t₂₃₈, X₂: 2⋅X₂+X₀+1 {O(n)}
t₂₃₈, X₃: X₃ {O(n)}
t₂₃₈, X₄: X₄ {O(n)}
t₂₃₉, X₀: X₀ {O(n)}
t₂₃₉, X₁: 2⋅X₀+2⋅X₁+X₂+2 {O(n)}
t₂₃₉, X₂: 2⋅X₂+X₀+1 {O(n)}
t₂₃₉, X₃: X₃ {O(n)}
t₂₃₉, X₄: X₄ {O(n)}
t₂₄₀, X₀: 2⋅X₀ {O(n)}
t₂₄₀, X₁: 2⋅X₀+3⋅X₁+X₂+2 {O(n)}
t₂₄₀, X₂: 3⋅X₂+X₀+1 {O(n)}
t₂₄₀, X₃: 2⋅X₃ {O(n)}
t₂₄₀, X₄: 2⋅X₄ {O(n)}
t₂₄₁, X₀: 2⋅X₀ {O(n)}
t₂₄₁, X₁: 2⋅X₀+3⋅X₁+X₂+2 {O(n)}
t₂₄₁, X₂: 3⋅X₂+X₀+1 {O(n)}
t₂₄₁, X₃: 2⋅X₃ {O(n)}
t₂₄₁, X₄: 0 {O(1)}
t₂₄₂, X₀: 2⋅X₀ {O(n)}
t₂₄₂, X₁: 2⋅X₀+3⋅X₁+X₂+2 {O(n)}
t₂₄₂, X₂: 3⋅X₂+X₀+1 {O(n)}
t₂₄₂, X₃: 2⋅X₃ {O(n)}
t₂₄₂, X₄: 0 {O(1)}
t₂₄₃, X₀: 2⋅X₀ {O(n)}
t₂₄₃, X₁: 2⋅X₀+3⋅X₁+X₂+2 {O(n)}
t₂₄₃, X₂: 3⋅X₂+X₀+1 {O(n)}
t₂₄₃, X₃: 2⋅X₃ {O(n)}
t₂₄₃, X₄: 2⋅X₄ {O(n)}