Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₀ ∧ 0 < X₁
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇, X₈) :|: X₀ ≤ 0
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 0
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₇, X₈, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₂
t₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ ≤ 0
t₈: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₂, X₃+1, X₆, X₇, X₈)
t₁₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₀: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ 0
t₁₁: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ 0
t₉: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₄ ∧ 0 < X₅
t₁₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₆, X₇, X₈)

Preprocessing

Eliminate variables {X₆} that do not contribute to the problem

Found invariant X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ for location l6

Found invariant X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l7

Found invariant X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l5

Found invariant X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l8

Found invariant X₁ ≤ X₈ ∧ X₀ ≤ X₇ for location l1

Found invariant X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₀ for location l4

Found invariant X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ for location l9

Found invariant 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₂₈: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈)
t₂₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: 0 < X₀ ∧ 0 < X₁ ∧ X₁ ≤ X₈ ∧ X₀ ≤ X₇
t₃₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₇, X₈) :|: X₀ ≤ 0 ∧ X₁ ≤ X₈ ∧ X₀ ≤ X₇
t₃₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₇, X₈) :|: X₁ ≤ 0 ∧ X₁ ≤ X₈ ∧ X₀ ≤ X₇
t₃₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l1(X₇, X₈, X₂, X₃, X₄, X₅, X₇, X₈)
t₃₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l1(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₇, X₈) :|: 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₃₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: 0 < X₂ ∧ X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₀
t₃₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: X₂ ≤ 0 ∧ X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₀
t₃₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₂, X₃+1, X₇, X₈) :|: X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₃₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀
t₃₉: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₇, X₈) :|: X₄ ≤ 0 ∧ X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₄₀: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₇, X₈) :|: X₅ ≤ 0 ∧ X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₃₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: 0 < X₄ ∧ 0 < X₅ ∧ X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₄₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₇, X₈) :|: X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀

MPRF for transition t₂₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: 0 < X₀ ∧ 0 < X₁ ∧ X₁ ≤ X₈ ∧ X₀ ≤ X₇ of depth 1:

new bound:

X₈ {O(n)}

MPRF:

l3 [X₁-1 ]
l1 [X₁ ]

MPRF for transition t₃₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l1(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₇, X₈) :|: 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:

new bound:

X₈ {O(n)}

MPRF:

l3 [X₁ ]
l1 [X₁ ]

MPRF for transition t₃₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: 0 < X₄ ∧ 0 < X₅ ∧ X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:

new bound:

2⋅X₇+1 {O(n)}

MPRF:

l5 [X₂+1 ]
l4 [X₂+1 ]
l8 [X₄ ]
l7 [X₄+1 ]

MPRF for transition t₃₉: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₇, X₈) :|: X₄ ≤ 0 ∧ X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:

new bound:

2⋅X₇+1 {O(n)}

MPRF:

l5 [X₂+1 ]
l4 [X₂+1 ]
l8 [X₂+1 ]
l7 [X₂+1 ]

MPRF for transition t₄₀: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₇, X₈) :|: X₅ ≤ 0 ∧ X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:

new bound:

2⋅X₇+2⋅X₈ {O(n)}

MPRF:

l5 [X₂-X₃ ]
l4 [X₂-X₃ ]
l8 [X₄+1-X₅ ]
l7 [X₄+1-X₅ ]

MPRF for transition t₄₁: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₇, X₈) :|: X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:

new bound:

2⋅X₇ {O(n)}

MPRF:

l5 [X₂ ]
l4 [X₂ ]
l8 [X₄ ]
l7 [X₄ ]

Found invariant X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 for location l6

Found invariant X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ 1+X₃ ≤ X₅ ∧ 1+X₁ ≤ X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location l7

Found invariant X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location l5

Found invariant X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ 1+X₁ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₁ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location l8

Found invariant X₁ ≤ X₈ ∧ X₀ ≤ X₇ for location l1

Found invariant X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location l4

Found invariant X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 for location l9

Found invariant 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l3

Found invariant X₃ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 for location l6

Found invariant 1 ≤ 0 for location l7

Found invariant 1 ≤ 0 for location l5

Found invariant 1 ≤ 0 for location l8

Found invariant X₁ ≤ X₈ ∧ X₀ ≤ X₇ for location l1

Found invariant X₃ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 for location l4

Found invariant X₃ ≤ X₈ ∧ X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 for location l9

Found invariant 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l3

knowledge_propagation leads to new time bound 2⋅X₇+2⋅X₈+1 {O(n)} for transition t₃₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) :|: 0 < X₂ ∧ X₁ ≤ X₈ ∧ X₂ ≤ X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₀

knowledge_propagation leads to new time bound 2⋅X₇+2⋅X₈+1 {O(n)} for transition t₃₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₂, X₃+1, X₇, X₈) :|: X₁ ≤ X₈ ∧ 1 ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀

All Bounds

Timebounds

Overall timebound:12⋅X₇+8⋅X₈+10 {O(n)}
t₂₈: 1 {O(1)}
t₂₉: X₈ {O(n)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₂: 1 {O(1)}
t₃₃: X₈ {O(n)}
t₃₄: 2⋅X₇+2⋅X₈+1 {O(n)}
t₃₅: 1 {O(1)}
t₃₆: 2⋅X₇+2⋅X₈+1 {O(n)}
t₃₇: 1 {O(1)}
t₃₈: 2⋅X₇+1 {O(n)}
t₃₉: 2⋅X₇+1 {O(n)}
t₄₀: 2⋅X₇+2⋅X₈ {O(n)}
t₄₁: 2⋅X₇ {O(n)}

Costbounds

Overall costbound: 12⋅X₇+8⋅X₈+10 {O(n)}
t₂₈: 1 {O(1)}
t₂₉: X₈ {O(n)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₂: 1 {O(1)}
t₃₃: X₈ {O(n)}
t₃₄: 2⋅X₇+2⋅X₈+1 {O(n)}
t₃₅: 1 {O(1)}
t₃₆: 2⋅X₇+2⋅X₈+1 {O(n)}
t₃₇: 1 {O(1)}
t₃₈: 2⋅X₇+1 {O(n)}
t₃₉: 2⋅X₇+1 {O(n)}
t₄₀: 2⋅X₇+2⋅X₈ {O(n)}
t₄₁: 2⋅X₇ {O(n)}

Sizebounds

t₂₈, X₀: X₀ {O(n)}
t₂₈, X₁: X₁ {O(n)}
t₂₈, X₂: X₂ {O(n)}
t₂₈, X₃: X₃ {O(n)}
t₂₈, X₄: X₄ {O(n)}
t₂₈, X₅: X₅ {O(n)}
t₂₈, X₇: X₇ {O(n)}
t₂₈, X₈: X₈ {O(n)}
t₂₉, X₀: X₇ {O(n)}
t₂₉, X₁: X₈ {O(n)}
t₂₉, X₂: X₂ {O(n)}
t₂₉, X₃: X₃ {O(n)}
t₂₉, X₄: X₄ {O(n)}
t₂₉, X₅: X₅ {O(n)}
t₂₉, X₇: X₇ {O(n)}
t₂₉, X₈: X₈ {O(n)}
t₃₀, X₀: 2⋅X₇ {O(n)}
t₃₀, X₁: 2⋅X₈ {O(n)}
t₃₀, X₂: 2⋅X₇ {O(n)}
t₃₀, X₃: 2⋅X₈ {O(n)}
t₃₀, X₄: 2⋅X₄ {O(n)}
t₃₀, X₅: 2⋅X₅ {O(n)}
t₃₀, X₇: 2⋅X₇ {O(n)}
t₃₀, X₈: 2⋅X₈ {O(n)}
t₃₁, X₀: 2⋅X₇ {O(n)}
t₃₁, X₁: 2⋅X₈ {O(n)}
t₃₁, X₂: 2⋅X₇ {O(n)}
t₃₁, X₃: 2⋅X₈ {O(n)}
t₃₁, X₄: 2⋅X₄ {O(n)}
t₃₁, X₅: 2⋅X₅ {O(n)}
t₃₁, X₇: 2⋅X₇ {O(n)}
t₃₁, X₈: 2⋅X₈ {O(n)}
t₃₂, X₀: X₇ {O(n)}
t₃₂, X₁: X₈ {O(n)}
t₃₂, X₂: X₂ {O(n)}
t₃₂, X₃: X₃ {O(n)}
t₃₂, X₄: X₄ {O(n)}
t₃₂, X₅: X₅ {O(n)}
t₃₂, X₇: X₇ {O(n)}
t₃₂, X₈: X₈ {O(n)}
t₃₃, X₀: X₇ {O(n)}
t₃₃, X₁: X₈ {O(n)}
t₃₃, X₂: X₂ {O(n)}
t₃₃, X₃: X₃ {O(n)}
t₃₃, X₄: X₄ {O(n)}
t₃₃, X₅: X₅ {O(n)}
t₃₃, X₇: X₇ {O(n)}
t₃₃, X₈: X₈ {O(n)}
t₃₄, X₀: 2⋅X₇ {O(n)}
t₃₄, X₁: 2⋅X₈ {O(n)}
t₃₄, X₂: 2⋅X₇ {O(n)}
t₃₄, X₃: 2⋅X₇+4⋅X₈+1 {O(n)}
t₃₄, X₄: 2⋅X₄+4⋅X₇ {O(n)}
t₃₄, X₅: 2⋅X₅+4⋅X₇+8⋅X₈+2 {O(n)}
t₃₄, X₇: 2⋅X₇ {O(n)}
t₃₄, X₈: 2⋅X₈ {O(n)}
t₃₅, X₀: 8⋅X₇ {O(n)}
t₃₅, X₁: 8⋅X₈ {O(n)}
t₃₅, X₂: 6⋅X₇ {O(n)}
t₃₅, X₃: 12⋅X₈+4⋅X₇+2 {O(n)}
t₃₅, X₄: 4⋅X₄+4⋅X₇ {O(n)}
t₃₅, X₅: 12⋅X₈+4⋅X₅+6⋅X₇+3 {O(n)}
t₃₅, X₇: 8⋅X₇ {O(n)}
t₃₅, X₈: 8⋅X₈ {O(n)}
t₃₆, X₀: 2⋅X₇ {O(n)}
t₃₆, X₁: 2⋅X₈ {O(n)}
t₃₆, X₂: 2⋅X₇ {O(n)}
t₃₆, X₃: 2⋅X₇+4⋅X₈+1 {O(n)}
t₃₆, X₄: 2⋅X₇ {O(n)}
t₃₆, X₅: 2⋅X₇+4⋅X₈+1 {O(n)}
t₃₆, X₇: 2⋅X₇ {O(n)}
t₃₆, X₈: 2⋅X₈ {O(n)}
t₃₇, X₀: 8⋅X₇ {O(n)}
t₃₇, X₁: 8⋅X₈ {O(n)}
t₃₇, X₂: 6⋅X₇ {O(n)}
t₃₇, X₃: 12⋅X₈+4⋅X₇+2 {O(n)}
t₃₇, X₄: 4⋅X₄+4⋅X₇ {O(n)}
t₃₇, X₅: 12⋅X₈+4⋅X₅+6⋅X₇+3 {O(n)}
t₃₇, X₇: 8⋅X₇ {O(n)}
t₃₇, X₈: 8⋅X₈ {O(n)}
t₃₈, X₀: 2⋅X₇ {O(n)}
t₃₈, X₁: 2⋅X₈ {O(n)}
t₃₈, X₂: 2⋅X₇ {O(n)}
t₃₈, X₃: 2⋅X₇+4⋅X₈+1 {O(n)}
t₃₈, X₄: 2⋅X₇ {O(n)}
t₃₈, X₅: 2⋅X₇+4⋅X₈+1 {O(n)}
t₃₈, X₇: 2⋅X₇ {O(n)}
t₃₈, X₈: 2⋅X₈ {O(n)}
t₃₉, X₀: 2⋅X₇ {O(n)}
t₃₉, X₁: 2⋅X₈ {O(n)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 2⋅X₇+4⋅X₈+1 {O(n)}
t₃₉, X₄: 0 {O(1)}
t₃₉, X₅: 2⋅X₇+4⋅X₈+1 {O(n)}
t₃₉, X₇: 2⋅X₇ {O(n)}
t₃₉, X₈: 2⋅X₈ {O(n)}
t₄₀, X₀: 2⋅X₇ {O(n)}
t₄₀, X₁: 2⋅X₈ {O(n)}
t₄₀, X₂: 2⋅X₇ {O(n)}
t₄₀, X₃: 2⋅X₇+4⋅X₈+1 {O(n)}
t₄₀, X₄: 4⋅X₇ {O(n)}
t₄₀, X₅: 4⋅X₇+8⋅X₈+2 {O(n)}
t₄₀, X₇: 2⋅X₇ {O(n)}
t₄₀, X₈: 2⋅X₈ {O(n)}
t₄₁, X₀: 2⋅X₇ {O(n)}
t₄₁, X₁: 2⋅X₈ {O(n)}
t₄₁, X₂: 2⋅X₇ {O(n)}
t₄₁, X₃: 2⋅X₇+4⋅X₈+1 {O(n)}
t₄₁, X₄: 2⋅X₇ {O(n)}
t₄₁, X₅: 2⋅X₇+4⋅X₈+1 {O(n)}
t₄₁, X₇: 2⋅X₇ {O(n)}
t₄₁, X₈: 2⋅X₈ {O(n)}