Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂)
t₉: l11(X₀, X₁, X₂) → l6(X₀-1, X₁, X₂) :|: X₀ < X₁
t₁₀: l11(X₀, X₁, X₂) → l6(X₀-X₁, X₁, X₂) :|: X₁ ≤ X₀
t₁₁: l12(X₀, X₁, X₂) → l10(X₀, X₁, X₂)
t₁: l2(X₀, X₁, X₂) → l3(X₀, X₁, X₂)
t₂: l3(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₄: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)
t₅: l5(X₀, X₁, X₂) → l6(X₂, X₁, X₂) :|: 0 < X₁
t₆: l5(X₀, X₁, X₂) → l7(X₀, X₁, X₂) :|: X₁ ≤ 0
t₇: l6(X₀, X₁, X₂) → l11(X₀, X₁, X₂) :|: 0 < X₀
t₈: l6(X₀, X₁, X₂) → l12(X₀, X₁, X₂) :|: X₀ ≤ 0
t₁₂: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂)
t₁₄: l8(X₀, X₁, X₂) → l10(X₀, X₁, X₂)
t₁₃: l9(X₀, X₁, X₂) → l8(X₀, X₁, X₂)
Found invariant 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l11
Found invariant X₀ ≤ X₂ ∧ 1 ≤ X₁ for location l6
Found invariant X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location l12
Found invariant X₁ ≤ 0 for location l7
Found invariant X₁ ≤ 0 for location l8
Found invariant X₁ ≤ 0 for location l9
Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₃: l1(X₀, X₁, X₂) → l4(X₀, X₁, X₂)
t₉: l11(X₀, X₁, X₂) → l6(X₀-1, X₁, X₂) :|: X₀ < X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁₀: l11(X₀, X₁, X₂) → l6(X₀-X₁, X₁, X₂) :|: X₁ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁₁: l12(X₀, X₁, X₂) → l10(X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0
t₁: l2(X₀, X₁, X₂) → l3(X₀, X₁, X₂)
t₂: l3(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₄: l4(X₀, X₁, X₂) → l5(X₀, X₁, X₂)
t₅: l5(X₀, X₁, X₂) → l6(X₂, X₁, X₂) :|: 0 < X₁
t₆: l5(X₀, X₁, X₂) → l7(X₀, X₁, X₂) :|: X₁ ≤ 0
t₇: l6(X₀, X₁, X₂) → l11(X₀, X₁, X₂) :|: 0 < X₀ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁
t₈: l6(X₀, X₁, X₂) → l12(X₀, X₁, X₂) :|: X₀ ≤ 0 ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁
t₁₂: l7(X₀, X₁, X₂) → l9(X₀, X₁, X₂) :|: X₁ ≤ 0
t₁₄: l8(X₀, X₁, X₂) → l10(X₀, X₁, X₂) :|: X₁ ≤ 0
t₁₃: l9(X₀, X₁, X₂) → l8(X₀, X₁, X₂) :|: X₁ ≤ 0
new bound:
X₂ {O(n)}
MPRF:
l6 [X₀ ]
l11 [X₀ ]
new bound:
X₂ {O(n)}
MPRF:
l6 [X₀ ]
l11 [X₀ ]
new bound:
X₂ {O(n)}
MPRF:
l6 [X₀ ]
l11 [X₀-1 ]
Overall timebound:3⋅X₂+12 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₉: X₂ {O(n)}
t₁₀: X₂ {O(n)}
t₁₁: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: X₂ {O(n)}
t₈: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₃: 1 {O(1)}
Overall costbound: 3⋅X₂+12 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₉: X₂ {O(n)}
t₁₀: X₂ {O(n)}
t₁₁: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: X₂ {O(n)}
t₈: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₃: 1 {O(1)}
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₉, X₀: X₂ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₁₀, X₀: X₂ {O(n)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₁, X₀: 3⋅X₂ {O(n)}
t₁₁, X₁: 3⋅X₁ {O(n)}
t₁₁, X₂: 3⋅X₂ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₅, X₀: X₂ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₇, X₀: X₂ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₈, X₀: 3⋅X₂ {O(n)}
t₈, X₁: 3⋅X₁ {O(n)}
t₈, X₂: 3⋅X₂ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₄, X₀: X₀ {O(n)}
t₁₄, X₁: X₁ {O(n)}
t₁₄, X₂: X₂ {O(n)}
t₁₃, X₀: X₀ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: X₂ {O(n)}