Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄)
t₃: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄)
t₁₃: l10(X₀, X₁, X₂, X₃, X₄) → l12(X₀, X₁, X₂, X₃, X₄)
t₁₂: l11(X₀, X₁, X₂, X₃, X₄) → l9(X₀, X₁-1, X₂, 1, X₄)
t₁: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄)
t₂: l3(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃, X₄)
t₄: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄)
t₅: l5(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄)
t₆: l6(X₀, X₁, X₂, X₃, X₄) → l7(X₀, X₁, X₂, X₃, X₄)
t₇: l7(X₀, X₁, X₂, X₃, X₄) → l8(X₄, X₁, 1, X₃, X₄)
t₉: l8(X₀, X₁, X₂, X₃, X₄) → l10(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ 0
t₈: l8(X₀, X₁, X₂, X₃, X₄) → l9(X₀, X₀, X₂, 0, X₄) :|: 0 < X₂
t₁₀: l9(X₀, X₁, X₂, X₃, X₄) → l11(X₀, X₁, X₂, X₃, X₄) :|: 0 < X₁
t₁₁: l9(X₀, X₁, X₂, X₃, X₄) → l8(X₁, X₁, X₃, X₃, X₄) :|: X₁ ≤ 0
Found invariant 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l11
Found invariant X₀ ≤ X₄ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ for location l12
Found invariant X₀ ≤ X₄ ∧ X₂ ≤ 1 ∧ 0 ≤ X₂ for location l8
Found invariant X₀ ≤ X₄ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ for location l10
Found invariant X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ X₁ ≤ X₀ for location l9
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l10, l11, l12, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄)
t₃: l1(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄)
t₁₃: l10(X₀, X₁, X₂, X₃, X₄) → l12(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₄ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂
t₁₂: l11(X₀, X₁, X₂, X₃, X₄) → l9(X₀, X₁-1, X₂, 1, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄)
t₂: l3(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃, X₄)
t₄: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄)
t₅: l5(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄)
t₆: l6(X₀, X₁, X₂, X₃, X₄) → l7(X₀, X₁, X₂, X₃, X₄)
t₇: l7(X₀, X₁, X₂, X₃, X₄) → l8(X₄, X₁, 1, X₃, X₄)
t₉: l8(X₀, X₁, X₂, X₃, X₄) → l10(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₂ ≤ 1 ∧ 0 ≤ X₂
t₈: l8(X₀, X₁, X₂, X₃, X₄) → l9(X₀, X₀, X₂, 0, X₄) :|: 0 < X₂ ∧ X₀ ≤ X₄ ∧ X₂ ≤ 1 ∧ 0 ≤ X₂
t₁₀: l9(X₀, X₁, X₂, X₃, X₄) → l11(X₀, X₁, X₂, X₃, X₄) :|: 0 < X₁ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ X₁ ≤ X₀
t₁₁: l9(X₀, X₁, X₂, X₃, X₄) → l8(X₁, X₁, X₃, X₃, X₄) :|: X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ X₁ ≤ X₀
new bound:
X₄ {O(n)}
MPRF:
l11 [X₁ ]
l9 [X₁ ]
l8 [X₀ ]
new bound:
X₄ {O(n)}
MPRF:
l11 [X₁-1 ]
l9 [X₁ ]
l8 [X₀ ]
new bound:
2⋅X₄+2 {O(n)}
MPRF:
l11 [2⋅X₂ ]
l9 [X₂+X₃ ]
l8 [X₂+1 ]
new bound:
2⋅X₄+1 {O(n)}
MPRF:
l11 [2⋅X₂ ]
l9 [X₃+1 ]
l8 [X₂ ]
Overall timebound:6⋅X₄+13 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₂: X₄ {O(n)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 2⋅X₄+2 {O(n)}
t₉: 1 {O(1)}
t₁₀: X₄ {O(n)}
t₁₁: 2⋅X₄+1 {O(n)}
Overall costbound: 6⋅X₄+13 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₂: X₄ {O(n)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 2⋅X₄+2 {O(n)}
t₉: 1 {O(1)}
t₁₀: X₄ {O(n)}
t₁₁: 2⋅X₄+1 {O(n)}
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₁₃, X₀: X₄ {O(n)}
t₁₃, X₁: 2⋅X₄ {O(n)}
t₁₃, X₂: 0 {O(1)}
t₁₃, X₃: 1 {O(1)}
t₁₃, X₄: X₄ {O(n)}
t₁₂, X₀: 2⋅X₄ {O(n)}
t₁₂, X₁: X₄ {O(n)}
t₁₂, X₂: 1 {O(1)}
t₁₂, X₃: 1 {O(1)}
t₁₂, X₄: X₄ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₇, X₀: X₄ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: 1 {O(1)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₈, X₀: 2⋅X₄ {O(n)}
t₈, X₁: X₄ {O(n)}
t₈, X₂: 1 {O(1)}
t₈, X₃: 0 {O(1)}
t₈, X₄: X₄ {O(n)}
t₉, X₀: X₄ {O(n)}
t₉, X₁: 2⋅X₄ {O(n)}
t₉, X₂: 0 {O(1)}
t₉, X₃: 1 {O(1)}
t₉, X₄: X₄ {O(n)}
t₁₀, X₀: 2⋅X₄ {O(n)}
t₁₀, X₁: X₄ {O(n)}
t₁₀, X₂: 1 {O(1)}
t₁₀, X₃: 1 {O(1)}
t₁₀, X₄: X₄ {O(n)}
t₁₁, X₀: X₄ {O(n)}
t₁₁, X₁: 2⋅X₄ {O(n)}
t₁₁, X₂: 1 {O(1)}
t₁₁, X₃: 1 {O(1)}
t₁₁, X₄: X₄ {O(n)}