Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3
Transitions:
t₆: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)
t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₇, X₂, X₃-1, X₄, 1+X₇, X₆, X₅) :|: X₁+1 ≤ X₃ ∧ X₀+X₆+X₄ ≤ 101+X₁+X₃ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₀+X₆+X₄ ≤ 2⋅X₃+2+X₁ ∧ X₁ ≤ 100 ∧ X₅ ≤ X₁+1 ∧ X₁+1 ≤ X₅ ∧ X₇+X₁+1+X₃ ≤ X₀+X₆+X₄ ∧ X₀+X₆+X₄ ≤ X₇+X₁+1+X₃
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁+102+X₃ ≤ X₀+X₆+X₄ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₀+X₆+X₄ ≤ 2⋅X₃+2+X₁ ∧ X₁ ≤ 100 ∧ X₅ ≤ X₁+1 ∧ X₁+1 ≤ X₅ ∧ X₇+X₁+1+X₃ ≤ X₀+X₆+X₄ ∧ X₀+X₆+X₄ ≤ X₇+X₁+1+X₃
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ X₁ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₀+X₆+X₄ ≤ 2⋅X₃+2+X₁ ∧ X₁ ≤ 100 ∧ X₅ ≤ X₁+1 ∧ X₁+1 ≤ X₅ ∧ X₇+X₁+1+X₃ ≤ X₀+X₆+X₄ ∧ X₀+X₆+X₄ ≤ X₇+X₁+1+X₃
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₇, X₂, X₃-1, X₄, 1+X₇, X₆, X₅) :|: X₆ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 101 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄+1 ≤ X₆ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
Found invariant X₃ ≤ X₄ for location l2
Found invariant X₇ ≤ X₄ ∧ X₇ ≤ 1+X₃ ∧ X₆ ≤ X₄ ∧ X₅ ≤ 1+X₁ ∧ 1+X₁ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100 for location l1
Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location l3
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3
Transitions:
t₆: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)
t₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₇, X₂, X₃-1, X₄, 1+X₇, X₆, X₅) :|: X₁+1 ≤ X₃ ∧ X₀+X₆+X₄ ≤ 101+X₁+X₃ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₀+X₆+X₄ ≤ 2⋅X₃+2+X₁ ∧ X₁ ≤ 100 ∧ X₅ ≤ X₁+1 ∧ X₁+1 ≤ X₅ ∧ X₇+X₁+1+X₃ ≤ X₀+X₆+X₄ ∧ X₀+X₆+X₄ ≤ X₇+X₁+1+X₃ ∧ X₇ ≤ X₄ ∧ X₇ ≤ 1+X₃ ∧ X₆ ≤ X₄ ∧ X₅ ≤ 1+X₁ ∧ 1+X₁ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁+102+X₃ ≤ X₀+X₆+X₄ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₀+X₆+X₄ ≤ 2⋅X₃+2+X₁ ∧ X₁ ≤ 100 ∧ X₅ ≤ X₁+1 ∧ X₁+1 ≤ X₅ ∧ X₇+X₁+1+X₃ ≤ X₀+X₆+X₄ ∧ X₀+X₆+X₄ ≤ X₇+X₁+1+X₃ ∧ X₇ ≤ X₄ ∧ X₇ ≤ 1+X₃ ∧ X₆ ≤ X₄ ∧ X₅ ≤ 1+X₁ ∧ 1+X₁ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ X₁ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₀+X₆+X₄ ≤ 2⋅X₃+2+X₁ ∧ X₁ ≤ 100 ∧ X₅ ≤ X₁+1 ∧ X₁+1 ≤ X₅ ∧ X₇+X₁+1+X₃ ≤ X₀+X₆+X₄ ∧ X₀+X₆+X₄ ≤ X₇+X₁+1+X₃ ∧ X₇ ≤ X₄ ∧ X₇ ≤ 1+X₃ ∧ X₆ ≤ X₄ ∧ X₅ ≤ 1+X₁ ∧ 1+X₁ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ 100
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀, X₇, X₂, X₃-1, X₄, 1+X₇, X₆, X₅) :|: X₆ ≤ X₄ ∧ X₀ ≤ 100 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 101 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₄+1 ≤ X₆ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
new bound:
2⋅X₄+X₀+X₆+3 {O(n)}
MPRF:
l1 [2⋅X₃+1-X₁-X₇ ]
Overall timebound:2⋅X₄+X₀+X₆+9 {O(n)}
t₆: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 2⋅X₄+X₀+X₆+3 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
Overall costbound: 2⋅X₄+X₀+X₆+9 {O(n)}
t₆: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 2⋅X₄+X₀+X₆+3 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₂ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₄ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₆ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₀ {O(n)}
t₃, X₀: 2⋅X₀ {O(n)}
t₃, X₁: 2⋅X₄+3⋅X₀+3⋅X₆+4 {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₃, X₃: 4⋅X₄+X₀+X₆+5 {O(n)}
t₃, X₄: 2⋅X₄ {O(n)}
t₃, X₅: 2⋅X₄+2⋅X₆+3⋅X₀+5 {O(n)}
t₃, X₆: 2⋅X₆ {O(n)}
t₃, X₇: 2⋅X₀+2⋅X₄+3⋅X₆+4 {O(n)}
t₄, X₀: 2⋅X₀ {O(n)}
t₄, X₁: 2⋅X₄+3⋅X₀+3⋅X₆+4 {O(n)}
t₄, X₂: 2⋅X₂ {O(n)}
t₄, X₃: 4⋅X₄+X₀+X₆+5 {O(n)}
t₄, X₄: 2⋅X₄ {O(n)}
t₄, X₅: 2⋅X₄+2⋅X₆+3⋅X₀+5 {O(n)}
t₄, X₆: 2⋅X₆ {O(n)}
t₄, X₇: 2⋅X₀+2⋅X₄+3⋅X₆+4 {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: 2⋅X₀+2⋅X₄+3⋅X₆+4 {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: 3⋅X₄+X₀+X₆+4 {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: 2⋅X₀+2⋅X₄+2⋅X₆+4 {O(n)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: 2⋅X₀+2⋅X₄+2⋅X₆+4 {O(n)}
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₂ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₄ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₆ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₂ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₄ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₆ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₀ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₀ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₄+1 {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₀+1 {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₆ {O(n)}