Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l10, l11, l12, l13, l14, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₂: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂-1, X₃, X₄, X₅)
t₁₃: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l12(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 < X₃
t₁₄: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l13(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ 0
t₁₅: l12(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₃-1, X₄, X₅)
t₁₆: l13(X₀, X₁, X₂, X₃, X₄, X₅) → l14(X₀, X₁, X₂, X₃, X₄, X₅)
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₄, X₅)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅)
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅)
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l7(X₄, X₅, X₂, X₃, X₄, X₅)
t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l8(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 < X₀
t₈: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₀ ≤ 0
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l7(X₀-1, X₁+2, X₂, X₃, X₄, X₅)
t₁₀: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 < X₂
t₁₁: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₂, X₄, X₅) :|: X₂ ≤ 0
Found invariant X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₀+X₃ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0 for location l11
Found invariant 1 ≤ 0 for location l12
Found invariant X₅ ≤ X₁ ∧ X₀ ≤ X₄ for location l7
Found invariant X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₀+X₃ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0 for location l13
Found invariant X₅ ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀ for location l8
Found invariant X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location l10
Found invariant X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location l9
Found invariant X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₀+X₃ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0 for location l14
Cut unsatisfiable transition t₁₃: l11→l12
Cut unsatisfiable transition t₁₅: l12→l11
Cut unreachable locations [l12] from the program graph
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l10, l11, l13, l14, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₂: l10(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₂-1, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0
t₁₄: l11(X₀, X₁, X₂, X₃, X₄, X₅) → l13(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₀+X₃ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0
t₁₆: l13(X₀, X₁, X₂, X₃, X₄, X₅) → l14(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₀+X₃ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₄, X₅)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅)
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃, X₄, X₅)
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l7(X₄, X₅, X₂, X₃, X₄, X₅)
t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l8(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 < X₀ ∧ X₅ ≤ X₁ ∧ X₀ ≤ X₄
t₈: l7(X₀, X₁, X₂, X₃, X₄, X₅) → l9(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₀ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₀ ≤ X₄
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅) → l7(X₀-1, X₁+2, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀
t₁₀: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l10(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 < X₂ ∧ X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0
t₁₁: l9(X₀, X₁, X₂, X₃, X₄, X₅) → l11(X₀, X₁, X₂, X₂, X₄, X₅) :|: X₂ ≤ 0 ∧ X₅ ≤ X₁ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0
new bound:
X₄ {O(n)}
new bound:
X₄ {O(n)}
new bound:
2⋅X₄+2⋅X₅ {O(n)}
new bound:
2⋅X₄+2⋅X₅ {O(n)}
Overall timebound:4⋅X₅+6⋅X₄+11 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: X₄ {O(n)}
t₈: 1 {O(1)}
t₉: X₄ {O(n)}
t₁₀: 2⋅X₄+2⋅X₅ {O(n)}
t₁₁: 1 {O(1)}
t₁₂: 2⋅X₄+2⋅X₅ {O(n)}
t₁₄: 1 {O(1)}
t₁₆: 1 {O(1)}
Overall costbound: 4⋅X₅+6⋅X₄+11 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: X₄ {O(n)}
t₈: 1 {O(1)}
t₉: X₄ {O(n)}
t₁₀: 2⋅X₄+2⋅X₅ {O(n)}
t₁₁: 1 {O(1)}
t₁₂: 2⋅X₄+2⋅X₅ {O(n)}
t₁₄: 1 {O(1)}
t₁₆: 1 {O(1)}
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)}
t₀, X₅: X₅ {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)}
t₁, X₅: X₅ {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)}
t₂, X₅: X₅ {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)}
t₃, X₅: X₅ {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)}
t₄, X₅: X₅ {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)}
t₅, X₅: X₅ {O(n)}
t₆, X₀: X₄ {O(n)}
t₆, X₁: X₅ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₇, X₀: X₄ {O(n)}
t₇, X₁: 2⋅X₄+X₅ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₈, X₀: 2⋅X₄ {O(n)}
t₈, X₁: 2⋅X₄+2⋅X₅ {O(n)}
t₈, X₂: 2⋅X₄+2⋅X₅ {O(n)}
t₈, X₃: 2⋅X₃ {O(n)}
t₈, X₄: 2⋅X₄ {O(n)}
t₈, X₅: 2⋅X₅ {O(n)}
t₉, X₀: X₄ {O(n)}
t₉, X₁: 2⋅X₄+X₅ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₁₀, X₀: 2⋅X₄ {O(n)}
t₁₀, X₁: 2⋅X₄+2⋅X₅ {O(n)}
t₁₀, X₂: 2⋅X₄+2⋅X₅ {O(n)}
t₁₀, X₃: 2⋅X₃ {O(n)}
t₁₀, X₄: 2⋅X₄ {O(n)}
t₁₀, X₅: 2⋅X₅ {O(n)}
t₁₁, X₀: 4⋅X₄ {O(n)}
t₁₁, X₁: 4⋅X₄+4⋅X₅ {O(n)}
t₁₁, X₂: 4⋅X₄+4⋅X₅ {O(n)}
t₁₁, X₃: 4⋅X₄+4⋅X₅ {O(n)}
t₁₁, X₄: 4⋅X₄ {O(n)}
t₁₁, X₅: 4⋅X₅ {O(n)}
t₁₂, X₀: 2⋅X₄ {O(n)}
t₁₂, X₁: 2⋅X₄+2⋅X₅ {O(n)}
t₁₂, X₂: 2⋅X₄+2⋅X₅ {O(n)}
t₁₂, X₃: 2⋅X₃ {O(n)}
t₁₂, X₄: 2⋅X₄ {O(n)}
t₁₂, X₅: 2⋅X₅ {O(n)}
t₁₄, X₀: 4⋅X₄ {O(n)}
t₁₄, X₁: 4⋅X₄+4⋅X₅ {O(n)}
t₁₄, X₂: 4⋅X₄+4⋅X₅ {O(n)}
t₁₄, X₃: 4⋅X₄+4⋅X₅ {O(n)}
t₁₄, X₄: 4⋅X₄ {O(n)}
t₁₄, X₅: 4⋅X₅ {O(n)}
t₁₆, X₀: 4⋅X₄ {O(n)}
t₁₆, X₁: 4⋅X₄+4⋅X₅ {O(n)}
t₁₆, X₂: 4⋅X₄+4⋅X₅ {O(n)}
t₁₆, X₃: 4⋅X₄+4⋅X₅ {O(n)}
t₁₆, X₄: 4⋅X₄ {O(n)}
t₁₆, X₅: 4⋅X₅ {O(n)}