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(1+X₀, X₁) :|: 0 ≤ X₀
t₂: l1(X₀, X₁) → l2(X₀, C) :|: X₀+1 ≤ 0

Preprocessing

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

Found invariant 1+X₀ ≤ 0 for location l2

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₇: l0(X₀) → l1(X₀)
t₈: l1(X₀) → l1(1+X₀) :|: 0 ≤ X₀
t₉: l1(X₀) → l2(X₀) :|: X₀+1 ≤ 0

Analysing control-flow refined program

Found invariant 1+X₀ ≤ 0 for location l2

Found invariant 1 ≤ X₀ for location n_l1___1

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₇: 1 {O(1)}
t₈: inf {Infinity}
t₉: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₇: 1 {O(1)}
t₈: inf {Infinity}
t₉: 1 {O(1)}

Sizebounds

t₇, X₀: X₀ {O(n)}
t₉, X₀: X₀ {O(n)}