Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂) → l2(X₀, X₁, X₂)
t₂: l1(X₀, X₁, X₂) → l7(X₀, X₁, X₂)
t₁: l2(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₄: l3(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: X₀ < 103
t₅: l3(X₀, X₁, X₂) → l6(X₀, X₁, X₂) :|: 103 ≤ X₀
t₆: l4(X₀, X₁, X₂) → l3(X₀, X₁, X₂)
t₇: l6(X₀, X₁, X₂) → l5(X₀, X₁, X₂)
t₃: l7(X₀, X₁, X₂) → l3(0, X₁, X₂)

Preprocessing

Eliminate variables {X₁,X₂} that do not contribute to the problem

Found invariant 1 ≤ 0 for location l6

Found invariant 1 ≤ 0 for location l5

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l4

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l3

Cut unsatisfiable transition t₂₀: l3→l6

Cut unsatisfiable transition t₂₂: l6→l5

Cut unreachable locations [l5; l6] from the program graph

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l7
Transitions:
t₁₆: l0(X₀) → l2(X₀)
t₁₇: l1(X₀) → l7(X₀)
t₁₈: l2(X₀) → l1(X₀)
t₁₉: l3(X₀) → l4(X₀) :|: X₀ < 103 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₁: l4(X₀) → l3(X₀) :|: X₀ ≤ 0 ∧ 0 ≤ X₀
t₂₃: l7(X₀) → l3(0)

Chain transitions t₂₃: l7→l3 and t₁₉: l3→l4 to t₅₁: l7→l4

Chain transitions t₂₁: l4→l3 and t₁₉: l3→l4 to t₅₂: l4→l4

Analysing control-flow refined program

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l4

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l3

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

Analysing control-flow refined program

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l4___1

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l3

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₁: inf {Infinity}
t₂₃: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₁: inf {Infinity}
t₂₃: 1 {O(1)}

Sizebounds

t₁₆, X₀: X₀ {O(n)}
t₁₇, X₀: X₀ {O(n)}
t₁₈, X₀: X₀ {O(n)}
t₁₉, X₀: 0 {O(1)}
t₂₁, X₀: 0 {O(1)}
t₂₃, X₀: 0 {O(1)}