Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂
Temp_Vars: D
Locations: f0, f17, f24, f6, f9
Transitions:
t₉: f0(X₀, X₁, X₂) → f6(D, X₁, 0)
t₃: f17(X₀, X₁, X₂) → f24(X₀, X₁, X₂) :|: X₂ ≤ 0
t₄: f17(X₀, X₁, X₂) → f24(X₀, X₁, X₂) :|: 2 ≤ X₂
t₅: f17(X₀, X₁, X₂) → f24(X₀, X₁, 0) :|: X₂ ≤ 1 ∧ 1 ≤ X₂
t₂: f6(X₀, X₁, X₂) → f17(0, X₁, X₂) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₀: f6(X₀, X₁, X₂) → f9(X₀, D, X₂) :|: 1+X₀ ≤ 0
t₁: f6(X₀, X₁, X₂) → f9(X₀, D, X₂) :|: 1 ≤ X₀
t₆: f9(X₀, X₁, X₂) → f17(X₀, 0, 1) :|: 0 ≤ X₁ ∧ X₁ ≤ 0
t₇: f9(X₀, X₁, X₂) → f6(D, X₁, X₂) :|: 1+X₁ ≤ 0
t₈: f9(X₀, X₁, X₂) → f6(D, X₁, X₂) :|: 1 ≤ X₁

Preprocessing

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location f24

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location f6

Found invariant X₂ ≤ 1 ∧ 0 ≤ X₂ for location f17

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location f9

Cut unsatisfiable transition [t₄: f17→f24]

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂
Temp_Vars: D
Locations: f0, f17, f24, f6, f9
Transitions:
t₉: f0(X₀, X₁, X₂) → f6(D, X₁, 0)
t₃: f17(X₀, X₁, X₂) → f24(X₀, X₁, X₂) :|: X₂ ≤ 0 ∧ X₂ ≤ 1 ∧ 0 ≤ X₂
t₅: f17(X₀, X₁, X₂) → f24(X₀, X₁, 0) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 0 ≤ X₂
t₂: f6(X₀, X₁, X₂) → f17(0, X₁, X₂) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₀: f6(X₀, X₁, X₂) → f9(X₀, D, X₂) :|: 1+X₀ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁: f6(X₀, X₁, X₂) → f9(X₀, D, X₂) :|: 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₆: f9(X₀, X₁, X₂) → f17(X₀, 0, 1) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₇: f9(X₀, X₁, X₂) → f6(D, X₁, X₂) :|: 1+X₁ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₈: f9(X₀, X₁, X₂) → f6(D, X₁, X₂) :|: 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

Cut unreachable locations [f9] from the program graph

Found invariant X₂ ≤ 0 ∧ 1+X₁+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ 0 for location f6_v2

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location f24

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location f6

Found invariant X₂ ≤ 1 ∧ 0 ≤ X₂ for location f17

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location f6_v1

Found invariant X₂ ≤ 0 ∧ 1+X₀+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₀ ≤ 0 for location f9_v2

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location f9_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: inf {Infinity}
t₁: inf {Infinity}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: inf {Infinity}
t₁: inf {Infinity}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}

Sizebounds

t₀, X₂: 0 {O(1)}
t₁, X₂: 0 {O(1)}
t₂, X₀: 0 {O(1)}
t₂, X₂: 0 {O(1)}
t₃, X₀: 0 {O(1)}
t₃, X₂: 0 {O(1)}
t₅, X₁: 0 {O(1)}
t₅, X₂: 0 {O(1)}
t₆, X₁: 0 {O(1)}
t₆, X₂: 1 {O(1)}
t₇, X₂: 0 {O(1)}
t₈, X₂: 0 {O(1)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: 0 {O(1)}