Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 < (X₀)²
t₃: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: (X₀)² ≤ 1
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁*X₂ ≤ 0
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₁*X₂
t₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₃, X₄, X₂, X₃, X₄, X₅, X₆)
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(3⋅X₀-4⋅X₁, 4⋅X₀-3⋅X₁, X₂, X₃, X₄, X₅, X₆)
Eliminate variables {X₅,X₆} that do not contribute to the problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₁₅: l0(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄)
t₁₆: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄) :|: 1 < (X₀)²
t₁₇: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: (X₀)² ≤ 1
t₁₈: l3(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄) :|: X₁*X₂ ≤ 0
t₁₉: l3(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄) :|: 0 < X₁*X₂
t₂₀: l4(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃, X₄)
t₂₁: l5(X₀, X₁, X₂, X₃, X₄) → l2(X₃, X₄, X₂, X₃, X₄)
t₂₂: l6(X₀, X₁, X₂, X₃, X₄) → l2(3⋅X₀-4⋅X₁, 4⋅X₀-3⋅X₁, X₂, X₃, X₄)
Chain transitions t₂₂: l6→l2 and t₁₇: l2→l4 to t₄₅: l6→l4
Chain transitions t₂₁: l5→l2 and t₁₇: l2→l4 to t₄₆: l5→l4
Chain transitions t₂₁: l5→l2 and t₁₆: l2→l3 to t₄₇: l5→l3
Chain transitions t₂₂: l6→l2 and t₁₆: l2→l3 to t₄₈: l6→l3
Chain transitions t₄₈: l6→l3 and t₁₉: l3→l6 to t₄₉: l6→l6
Chain transitions t₄₇: l5→l3 and t₁₉: l3→l6 to t₅₀: l5→l6
Chain transitions t₄₇: l5→l3 and t₁₈: l3→l4 to t₅₁: l5→l4
Chain transitions t₄₈: l6→l3 and t₁₈: l3→l4 to t₅₂: l6→l4
Found invariant X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location l2
Found invariant X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location n_l6___4
Found invariant X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location n_l3___5
Overall timebound:inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}
t₂₂: inf {Infinity}
Overall costbound: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}
t₂₂: inf {Infinity}
t₁₅, X₀: X₀ {O(n)}
t₁₅, X₁: X₁ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₆, X₂: X₂ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₇, X₂: 2⋅X₂ {O(n)}
t₁₇, X₃: 2⋅X₃ {O(n)}
t₁₇, X₄: 2⋅X₄ {O(n)}
t₁₈, X₂: X₂ {O(n)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: X₄ {O(n)}
t₁₉, X₂: X₂ {O(n)}
t₁₉, X₃: X₃ {O(n)}
t₁₉, X₄: X₄ {O(n)}
t₂₀, X₂: 3⋅X₂ {O(n)}
t₂₀, X₃: 3⋅X₃ {O(n)}
t₂₀, X₄: 3⋅X₄ {O(n)}
t₂₁, X₀: X₃ {O(n)}
t₂₁, X₁: X₄ {O(n)}
t₂₁, X₂: X₂ {O(n)}
t₂₁, X₃: X₃ {O(n)}
t₂₁, X₄: X₄ {O(n)}
t₂₂, X₂: X₂ {O(n)}
t₂₂, X₃: X₃ {O(n)}
t₂₂, X₄: X₄ {O(n)}