Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 100 ∧ X₁ ≤ X₂
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 100 < X₀
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ < X₁
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₄, X₅, X₆, X₃, X₄, X₅, X₆, X₇)
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₁, X₀+1, X₂-1, X₃, X₄, X₅, X₆, X₇)
t₆: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
Eliminate variables {X₃,X₇} that do not contribute to the problem
Found invariant X₂ ≤ X₅ for location l5
Found invariant X₂ ≤ X₅ for location l1
Found invariant X₂ ≤ X₅ for location l4
Found invariant X₂ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₀ ≤ 100 for location l3
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₁₃: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₄: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 100 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₅
t₁₅: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: 100 < X₀ ∧ X₂ ≤ X₅
t₁₆: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₂ < X₁ ∧ X₂ ≤ X₅
t₁₇: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₃, X₄, X₅, X₃, X₄, X₅)
t₁₈: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₁, X₀+1, X₂-1, X₃, X₄, X₅) :|: X₂ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₂ ∧ X₀ ≤ 100
t₁₉: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₂ ≤ X₅
new bound:
X₃+X₄+X₅+101 {O(n)}
new bound:
X₃+X₄+X₅+101 {O(n)}
Overall timebound:2⋅X₃+2⋅X₄+2⋅X₅+207 {O(n)}
t₁₃: 1 {O(1)}
t₁₄: X₃+X₄+X₅+101 {O(n)}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: X₃+X₄+X₅+101 {O(n)}
t₁₉: 1 {O(1)}
Overall costbound: 2⋅X₃+2⋅X₄+2⋅X₅+207 {O(n)}
t₁₃: 1 {O(1)}
t₁₄: X₃+X₄+X₅+101 {O(n)}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: X₃+X₄+X₅+101 {O(n)}
t₁₉: 1 {O(1)}
t₁₃, X₀: X₀ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₄, X₀: 2⋅X₃+2⋅X₄+X₅+101 {O(n)}
t₁₄, X₁: 2⋅X₃+2⋅X₄+X₅+101 {O(n)}
t₁₄, X₂: 2⋅X₅+X₃+X₄+101 {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₅, X₀: 2⋅X₄+3⋅X₃+X₅+101 {O(n)}
t₁₅, X₁: 2⋅X₃+3⋅X₄+X₅+101 {O(n)}
t₁₅, X₂: 3⋅X₅+X₃+X₄+101 {O(n)}
t₁₅, X₃: 2⋅X₃ {O(n)}
t₁₅, X₄: 2⋅X₄ {O(n)}
t₁₅, X₅: 2⋅X₅ {O(n)}
t₁₆, X₀: 2⋅X₄+3⋅X₃+X₅+101 {O(n)}
t₁₆, X₁: 2⋅X₃+3⋅X₄+X₅+101 {O(n)}
t₁₆, X₂: 3⋅X₅+X₃+X₄+101 {O(n)}
t₁₆, X₃: 2⋅X₃ {O(n)}
t₁₆, X₄: 2⋅X₄ {O(n)}
t₁₆, X₅: 2⋅X₅ {O(n)}
t₁₇, X₀: X₃ {O(n)}
t₁₇, X₁: X₄ {O(n)}
t₁₇, X₂: X₅ {O(n)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: X₅ {O(n)}
t₁₈, X₀: 2⋅X₃+2⋅X₄+X₅+101 {O(n)}
t₁₈, X₁: 2⋅X₃+2⋅X₄+X₅+101 {O(n)}
t₁₈, X₂: 2⋅X₅+X₃+X₄+101 {O(n)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: X₄ {O(n)}
t₁₈, X₅: X₅ {O(n)}
t₁₉, X₀: 2⋅X₅+4⋅X₄+6⋅X₃+202 {O(n)}
t₁₉, X₁: 2⋅X₅+4⋅X₃+6⋅X₄+202 {O(n)}
t₁₉, X₂: 2⋅X₃+2⋅X₄+6⋅X₅+202 {O(n)}
t₁₉, X₃: 4⋅X₃ {O(n)}
t₁₉, X₄: 4⋅X₄ {O(n)}
t₁₉, X₅: 4⋅X₅ {O(n)}