Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁) → l2(X₀, X₁)
t₂: l1(X₀, X₁) → l3(X₀, X₁) :|: 0 ≤ X₀
t₃: l1(X₀, X₁) → l4(X₀, X₁) :|: X₀ < 0
t₁: l2(X₀, X₁) → l1(X₁, X₁)
t₄: l3(X₀, X₁) → l1(X₀-1, X₁)
t₅: l4(X₀, X₁) → l5(X₀, X₁)
Found invariant X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l5
Found invariant X₀ ≤ X₁ for location l1
Found invariant X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l4
Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l3
Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁) → l2(X₀, X₁)
t₂: l1(X₀, X₁) → l3(X₀, X₁) :|: 0 ≤ X₀ ∧ X₀ ≤ X₁
t₃: l1(X₀, X₁) → l4(X₀, X₁) :|: X₀ < 0 ∧ X₀ ≤ X₁
t₁: l2(X₀, X₁) → l1(X₁, X₁)
t₄: l3(X₀, X₁) → l1(X₀-1, X₁) :|: 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀
t₅: l4(X₀, X₁) → l5(X₀, X₁) :|: X₀ ≤ X₁ ∧ 1+X₀ ≤ 0
Found invariant X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l5
Found invariant X₀ ≤ X₁ for location l1
Found invariant X₀ ≤ X₁ ∧ 1+X₀ ≤ 0 for location l4
Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location l3
Termination: true
Formula:
relevant size-bounds w.r.t. t₁:
X₀: X₁ {O(n)}
Runtime-bound of t₁: 1 {O(1)}
Results in: 2⋅X₁+4 {O(n)}
relevant size-bounds w.r.t. t₁:
X₀: X₁ {O(n)}
Runtime-bound of t₁: 1 {O(1)}
Results in: 2⋅X₁+4 {O(n)}
Overall timebound:4⋅X₁+12 {O(n)}
t₀: 1 {O(1)}
t₂: 2⋅X₁+4 {O(n)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₄: 2⋅X₁+4 {O(n)}
t₅: 1 {O(1)}
Overall costbound: 4⋅X₁+12 {O(n)}
t₀: 1 {O(1)}
t₂: 2⋅X₁+4 {O(n)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₄: 2⋅X₁+4 {O(n)}
t₅: 1 {O(1)}
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₂, X₀: X₁+1 {O(n)}
t₂, X₁: X₁ {O(n)}
t₃, X₀: 2⋅X₁+1 {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₁, X₀: X₁ {O(n)}
t₁, X₁: X₁ {O(n)}
t₄, X₀: X₁+1 {O(n)}
t₄, X₁: X₁ {O(n)}
t₅, X₀: 2⋅X₁+1 {O(n)}
t₅, X₁: 2⋅X₁ {O(n)}