Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l1(F, 0, 0, X₃, X₄) :|: F+1 ≤ 0
t₁: l0(X₀, X₁, X₂, X₃, X₄) → l1(F, 0, 0, X₃, X₄) :|: 1 ≤ F
t₂: l0(X₀, X₁, X₂, X₃, X₄) → l1(0, 1023, 0, X₃, X₄)
t₃: l1(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂+1, X₃+2, X₄) :|: X₂ ≤ X₁
t₄: l1(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₄ ∧ 1+X₁ ≤ X₂ ∧ X₄ ≤ 1022
t₅: l1(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₂ ∧ 1023 ≤ X₄
t₆: l1(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₂ ∧ X₄+1 ≤ 0
Eliminate variables {X₀,X₃} that do not contribute to the problem
Found invariant X₁ ≤ 1024 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2047 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 1023 ∧ 0 ≤ X₀ for location l2
Found invariant X₁ ≤ 1024 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2047 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1023+X₁ ∧ X₀ ≤ 1023 ∧ 0 ≤ X₀ for location l1
Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars: F
Locations: l0, l1, l2
Transitions:
t₁₂: l0(X₀, X₁, X₂) → l1(0, 0, X₂) :|: F+1 ≤ 0
t₁₃: l0(X₀, X₁, X₂) → l1(0, 0, X₂) :|: 1 ≤ F
t₁₄: l0(X₀, X₁, X₂) → l1(1023, 0, X₂)
t₁₅: l1(X₀, X₁, X₂) → l1(X₀, X₁+1, X₂) :|: X₁ ≤ X₀ ∧ X₁ ≤ 1024 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2047 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1023+X₁ ∧ X₀ ≤ 1023 ∧ 0 ≤ X₀
t₁₆: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: 0 ≤ X₂ ∧ 1+X₀ ≤ X₁ ∧ X₂ ≤ 1022 ∧ X₁ ≤ 1024 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2047 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1023+X₁ ∧ X₀ ≤ 1023 ∧ 0 ≤ X₀
t₁₇: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: 1+X₀ ≤ X₁ ∧ 1023 ≤ X₂ ∧ X₁ ≤ 1024 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2047 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1023+X₁ ∧ X₀ ≤ 1023 ∧ 0 ≤ X₀
t₁₈: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: 1+X₀ ≤ X₁ ∧ X₂+1 ≤ 0 ∧ X₁ ≤ 1024 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2047 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1023+X₁ ∧ X₀ ≤ 1023 ∧ 0 ≤ X₀
new bound:
1026 {O(1)}
Overall timebound:1032 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1026 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
Overall costbound: 1032 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1026 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₁₂, X₀: 0 {O(1)}
t₁₂, X₁: 0 {O(1)}
t₁₂, X₂: X₂ {O(n)}
t₁₃, X₀: 0 {O(1)}
t₁₃, X₁: 0 {O(1)}
t₁₃, X₂: X₂ {O(n)}
t₁₄, X₀: 1023 {O(1)}
t₁₄, X₁: 0 {O(1)}
t₁₄, X₂: X₂ {O(n)}
t₁₅, X₀: 1023 {O(1)}
t₁₅, X₁: 1024 {O(1)}
t₁₅, X₂: 3⋅X₂ {O(n)}
t₁₆, X₀: 1023 {O(1)}
t₁₆, X₁: 1024 {O(1)}
t₁₆, X₂: 1022 {O(1)}
t₁₇, X₀: 1023 {O(1)}
t₁₇, X₁: 1024 {O(1)}
t₁₇, X₂: 3⋅X₂ {O(n)}
t₁₈, X₀: 1023 {O(1)}
t₁₈, X₁: 1024 {O(1)}
t₁₈, X₂: 3⋅X₂ {O(n)}