Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₂: l1(X₀, X₁, X₂, X₃) → l3(X₀, 0, X₂, X₃) :|: X₀ < 100
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 100 ≤ X₀
t₁: l2(X₀, X₁, X₂, X₃) → l1(0, X₁, X₂, X₃)
t₅: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁
t₄: l3(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃) :|: X₁ < 1
t₈: l4(X₀, X₁, X₂, X₃) → l7(X₀, X₁, X₂, X₃)
t₇: l5(X₀, X₁, X₂, X₃) → l1(X₀+1, X₁, X₂, X₃)
t₆: l6(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃)
Eliminate variables {X₂,X₃} that do not contribute to the problem
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l6
Found invariant 1 ≤ 0 for location l7
Found invariant 1 ≤ 0 for location l5
Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1
Found invariant 1 ≤ 0 for location l4
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l3
Cut unsatisfiable transition t₁₉: l1→l4
Cut unsatisfiable transition t₂₁: l3→l5
Cut unsatisfiable transition t₂₃: l4→l7
Cut unsatisfiable transition t₂₄: l5→l1
Cut unreachable locations [l4; l5; l7] from the program graph
Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1, l2, l3, l6
Transitions:
t₁₇: l0(X₀, X₁) → l2(X₀, X₁)
t₁₈: l1(X₀, X₁) → l3(X₀, 0) :|: X₀ < 100 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₀: l2(X₀, X₁) → l1(0, X₁)
t₂₂: l3(X₀, X₁) → l6(X₀, X₁) :|: X₁ < 1 ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₅: l6(X₀, X₁) → l3(X₀, X₁) :|: X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
Chain transitions t₂₅: l6→l3 and t₂₂: l3→l6 to t₅₄: l6→l6
Chain transitions t₁₈: l1→l3 and t₂₂: l3→l6 to t₅₅: l1→l6
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l6
Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l3
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l6___1
Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l3
Overall timebound:inf {Infinity}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₂: inf {Infinity}
t₂₅: inf {Infinity}
Overall costbound: inf {Infinity}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₂: inf {Infinity}
t₂₅: inf {Infinity}
t₁₇, X₀: X₀ {O(n)}
t₁₇, X₁: X₁ {O(n)}
t₁₈, X₀: 0 {O(1)}
t₁₈, X₁: 0 {O(1)}
t₂₀, X₀: 0 {O(1)}
t₂₀, X₁: X₁ {O(n)}
t₂₂, X₀: 0 {O(1)}
t₂₂, X₁: 0 {O(1)}
t₂₅, X₀: 0 {O(1)}
t₂₅, X₁: 0 {O(1)}