Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars: B
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀) → l1(0)
t₁: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 9
t₂: l1(X₀) → l2(X₀) :|: 10 ≤ X₀ ∧ B+1 ≤ 0
t₃: l1(X₀) → l2(X₀) :|: 10 ≤ X₀

Preprocessing

Found invariant X₀ ≤ 10 ∧ 10 ≤ X₀ for location l2

Found invariant X₀ ≤ 10 ∧ 0 ≤ X₀ for location l1

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars: B
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀) → l1(0)
t₁: l1(X₀) → l1(X₀+1) :|: X₀ ≤ 9 ∧ X₀ ≤ 10 ∧ 0 ≤ X₀
t₂: l1(X₀) → l2(X₀) :|: 10 ≤ X₀ ∧ B+1 ≤ 0 ∧ X₀ ≤ 10 ∧ 0 ≤ X₀
t₃: l1(X₀) → l2(X₀) :|: 10 ≤ X₀ ∧ X₀ ≤ 10 ∧ 0 ≤ X₀

Found invariant X₀ ≤ 10 ∧ 10 ≤ X₀ for location l2

Found invariant X₀ ≤ 10 ∧ 0 ≤ X₀ for location l1

Time-Bound by TWN-Loops:

TWN-Loops: t₁ 22 {O(1)}

TWN-Loops:

entry: t₀: l0(X₀) → l1(0)
results in twn-loop: twn:Inv: [X₀ ≤ 10 ∧ 0 ≤ X₀] , (X₀) -> (X₀+1) :|: X₀ ≤ 9
order: [X₀]
closed-form:
X₀: X₀ + [[n != 0]] * n^1

Termination: true
Formula:

1 < 0
∨ X₀ < 9 ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ 9 ∧ 9 ≤ X₀

Stabilization-Threshold for: X₀ ≤ 9
alphas_abs: 9
M: 0
N: 1
Bound: 20 {O(1)}

relevant size-bounds w.r.t. t₀:
Runtime-bound of t₀: 1 {O(1)}
Results in: 22 {O(1)}

22 {O(1)}

All Bounds

Timebounds

Overall timebound:25 {O(1)}
t₀: 1 {O(1)}
t₁: 22 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}

Costbounds

Overall costbound: 25 {O(1)}
t₀: 1 {O(1)}
t₁: 22 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}

Sizebounds

t₀, X₀: 0 {O(1)}
t₁, X₀: 10 {O(1)}
t₂, X₀: 10 {O(1)}
t₃, X₀: 10 {O(1)}