Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(0, 10, 0)
t₁: l1(X₀, X₁, X₂) → l1(X₀+2, X₁, X₂+1) :|: X₂+1 ≤ X₁
t₂: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: X₀+1 ≤ 2⋅X₁ ∧ X₁ ≤ X₂
t₃: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: 2⋅X₁ ≤ X₀ ∧ X₁ ≤ X₂
Found invariant X₂ ≤ 10 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ X₂ ≤ X₀ ∧ 10 ≤ X₂ ∧ 20 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 20 ≤ X₀+X₂ ∧ X₁ ≤ 10 ∧ X₁ ≤ X₀ ∧ 10 ≤ X₁ ∧ 20 ≤ X₀+X₁ ∧ 10 ≤ X₀ for location l2
Found invariant X₂ ≤ 10 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ X₁ ≤ 10+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ 10 ∧ X₁ ≤ 10+X₀ ∧ 10 ≤ X₁ ∧ 10 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l1
Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(0, 10, 0)
t₁: l1(X₀, X₁, X₂) → l1(X₀+2, X₁, X₂+1) :|: X₂+1 ≤ X₁ ∧ X₂ ≤ 10 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ X₁ ≤ 10+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ 10 ∧ X₁ ≤ 10+X₀ ∧ 10 ≤ X₁ ∧ 10 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: X₀+1 ≤ 2⋅X₁ ∧ X₁ ≤ X₂ ∧ X₂ ≤ 10 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ X₁ ≤ 10+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ 10 ∧ X₁ ≤ 10+X₀ ∧ 10 ≤ X₁ ∧ 10 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₃: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: 2⋅X₁ ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ 10 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ X₁ ≤ 10+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ 10 ∧ X₁ ≤ 10+X₀ ∧ 10 ≤ X₁ ∧ 10 ≤ X₀+X₁ ∧ 0 ≤ X₀
new bound:
11 {O(1)}
MPRF:
l1 [11-X₂ ]
Overall timebound:14 {O(1)}
t₀: 1 {O(1)}
t₁: 11 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
Overall costbound: 14 {O(1)}
t₀: 1 {O(1)}
t₁: 11 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₀, X₀: 0 {O(1)}
t₀, X₁: 10 {O(1)}
t₀, X₂: 0 {O(1)}
t₁, X₀: 22 {O(1)}
t₁, X₁: 10 {O(1)}
t₁, X₂: 10 {O(1)}
t₂, X₀: 19 {O(1)}
t₂, X₁: 10 {O(1)}
t₂, X₂: 10 {O(1)}
t₃, X₀: 22 {O(1)}
t₃, X₁: 10 {O(1)}
t₃, X₂: 10 {O(1)}