Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄)
t₂: l1(X₀, X₁, X₂, X₃, X₄) → l3(X₀, 3, X₂, X₃, X₄) :|: X₀ < 10
t₃: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: 10 ≤ X₀
t₁: l2(X₀, X₁, X₂, X₃, X₄) → l1(0, X₁, X₂, X₃, X₄)
t₅: l3(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: 12 ≤ X₁
t₄: l3(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄) :|: X₁ < 12
t₈: l4(X₀, X₁, X₂, X₃, X₄) → l7(X₀, X₁, X₂, X₃, X₄)
t₇: l5(X₀, X₁, X₂, X₃, X₄) → l1(X₀+1, X₁, X₂, X₃, X₄)
t₆: l6(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁+1, X₂, X₃, X₄)
Eliminate variables {X₂,X₃,X₄} that do not contribute to the problem
Found invariant X₁ ≤ 11 ∧ X₁ ≤ 11+X₀ ∧ 3 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l6
Found invariant 10 ≤ X₀ for location l7
Found invariant 12 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l5
Found invariant 0 ≤ X₀ for location l1
Found invariant 10 ≤ X₀ for location l4
Found invariant 3 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l3
Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₁₇: l0(X₀, X₁) → l2(X₀, X₁)
t₁₈: l1(X₀, X₁) → l3(X₀, 3) :|: X₀ < 10 ∧ 0 ≤ X₀
t₁₉: l1(X₀, X₁) → l4(X₀, X₁) :|: 10 ≤ X₀ ∧ 0 ≤ X₀
t₂₀: l2(X₀, X₁) → l1(0, X₁)
t₂₁: l3(X₀, X₁) → l5(X₀, X₁) :|: 12 ≤ X₁ ∧ 3 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₂: l3(X₀, X₁) → l6(X₀, X₁) :|: X₁ < 12 ∧ 3 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₃: l4(X₀, X₁) → l7(X₀, X₁) :|: 10 ≤ X₀
t₂₄: l5(X₀, X₁) → l1(X₀+1, X₁) :|: 12 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₅: l6(X₀, X₁) → l3(X₀, X₁+1) :|: X₁ ≤ 11 ∧ X₁ ≤ 11+X₀ ∧ 3 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₀
new bound:
10 {O(1)}
cycle: [t₂₂: l3→l6; t₂₅: l6→l3]
Termination: true
Formula:
knowledge_propagation leads to new time bound 340 {O(1)} for transition t₂₁: l3(X₀, X₁) → l5(X₀, X₁) :|: 12 ≤ X₁ ∧ 3 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 0 ≤ X₀
knowledge_propagation leads to new time bound 340 {O(1)} for transition t₂₄: l5(X₀, X₁) → l1(X₀+1, X₁) :|: 12 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₀
Overall timebound:1374 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 10 {O(1)}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 340 {O(1)}
t₂₂: 340 {O(1)}
t₂₃: 1 {O(1)}
t₂₄: 340 {O(1)}
t₂₅: 340 {O(1)}
Overall costbound: 1374 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 10 {O(1)}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 340 {O(1)}
t₂₂: 340 {O(1)}
t₂₃: 1 {O(1)}
t₂₄: 340 {O(1)}
t₂₅: 340 {O(1)}
t₁₇, X₀: X₀ {O(n)}
t₁₇, X₁: X₁ {O(n)}
t₁₈, X₀: 9 {O(1)}
t₁₈, X₁: 3 {O(1)}
t₁₉, X₀: 10 {O(1)}
t₁₉, X₁: 12 {O(1)}
t₂₀, X₀: 0 {O(1)}
t₂₀, X₁: X₁ {O(n)}
t₂₁, X₀: 9 {O(1)}
t₂₁, X₁: 12 {O(1)}
t₂₂, X₀: 9 {O(1)}
t₂₂, X₁: 11 {O(1)}
t₂₃, X₀: 10 {O(1)}
t₂₃, X₁: 12 {O(1)}
t₂₄, X₀: 10 {O(1)}
t₂₄, X₁: 12 {O(1)}
t₂₅, X₀: 9 {O(1)}
t₂₅, X₁: 12 {O(1)}