Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: K, L
Locations: f0, f18, f24, f31, f33, f36
Transitions:
t₇: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f18(1, X₁, X₂, X₃, X₄, K, K, X₇, X₈, X₉) :|: K ≤ 0
t₈: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f18(1, X₁, X₂, X₃, X₄, K, 0, 1, L, L) :|: 1 ≤ K ∧ 1 ≤ L
t₉: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(1, X₁, X₂, X₃, X₄, K, 0, 1, L, L) :|: 1 ≤ K ∧ L ≤ 0
t₀: f18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 0
t₆: f18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f24(0, X₁, K, X₃, K, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₀
t₃: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(X₀, K, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₀
t₄: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(X₀, L, X₂, K, X₄, X₅, X₆, X₇, X₈, X₉) :|: K ≤ 999+X₂ ∧ X₀ ≤ 0
t₅: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(1, L, X₂, K, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1000+X₂ ≤ K ∧ X₀ ≤ 0
t₁: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₂: f33(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f36(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

Preprocessing

Cut unreachable locations [f33; f36] from the program graph

Cut unsatisfiable transition [t₀: f18→f24; t₃: f24→f31]

Eliminate variables [X₁; X₃; X₄; X₅; X₆; X₇; X₈; X₉] that do not contribute to the problem

Found invariant X₀ ≤ 1 ∧ 1 ≤ X₀ for location f18

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location f24

Found invariant X₀ ≤ 1 ∧ 0 ≤ X₀ for location f31

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁
Temp_Vars: K, L
Locations: f0, f18, f24, f31
Transitions:
t₁₉: f0(X₀, X₁) → f18(1, X₁) :|: K ≤ 0
t₂₀: f0(X₀, X₁) → f18(1, X₁) :|: 1 ≤ K ∧ 1 ≤ L
t₂₁: f0(X₀, X₁) → f31(1, X₁) :|: 1 ≤ K ∧ L ≤ 0
t₂₂: f18(X₀, X₁) → f24(0, K) :|: 1 ≤ X₀ ∧ X₀ ≤ 1
t₂₃: f24(X₀, X₁) → f31(X₀, X₁) :|: K ≤ 999+X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₄: f24(X₀, X₁) → f31(1, X₁) :|: 1000+X₁ ≤ K ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₅: f31(X₀, X₁) → f31(X₀, X₁) :|: X₀ ≤ 1 ∧ 0 ≤ X₀

Found invariant X₀ ≤ 1 ∧ 1 ≤ X₀ for location f18

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location f24

Found invariant X₀ ≤ 1 ∧ 0 ≤ X₀ for location f31_v1

Found invariant X₀ ≤ 1 ∧ 0 ≤ X₀ for location f31

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}
t₂₂: 1 {O(1)}
t₂₃: 1 {O(1)}
t₂₄: 1 {O(1)}
t₂₅: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}
t₂₂: 1 {O(1)}
t₂₃: 1 {O(1)}
t₂₄: 1 {O(1)}
t₂₅: inf {Infinity}

Sizebounds

t₁₉, X₀: 1 {O(1)}
t₁₉, X₁: X₁ {O(n)}
t₂₀, X₀: 1 {O(1)}
t₂₀, X₁: X₁ {O(n)}
t₂₁, X₀: 1 {O(1)}
t₂₁, X₁: X₁ {O(n)}
t₂₂, X₀: 0 {O(1)}
t₂₃, X₀: 0 {O(1)}
t₂₄, X₀: 1 {O(1)}
t₂₅, X₀: 1 {O(1)}