Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: C
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀, X₁) → l1(X₀, X₁)
t₁: l1(X₀, X₁) → l1(X₀-1, X₁) :|: X₀ ≤ 1
t₂: l1(X₀, X₁) → l2(X₀-1, C) :|: 2 ≤ X₀

Preprocessing

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

Found invariant 1 ≤ X₀ for location l2

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₈: l0(X₀) → l1(X₀)
t₉: l1(X₀) → l1(X₀-1) :|: X₀ ≤ 1
t₁₀: l1(X₀) → l2(X₀-1) :|: 2 ≤ X₀

Found invariant 1 ≤ X₀ for location l2

Analysing control-flow refined program

Found invariant 1 ≤ X₀ for location l2

Found invariant X₀ ≤ 0 for location n_l1___1

Found invariant 1 ≤ X₀ for location l2

Found invariant X₀ ≤ 0 for location n_l1___1

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₈: 1 {O(1)}
t₉: inf {Infinity}
t₁₀: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₈: 1 {O(1)}
t₉: inf {Infinity}
t₁₀: 1 {O(1)}

Sizebounds

t₈, X₀: X₀ {O(n)}
t₁₀, X₀: X₀ {O(n)}