Initial Problem

Start: f3
Program_Vars: X₀, X₁
Temp_Vars: C
Locations: f2, f3, f300
Transitions:
t₀: f2(X₀, X₁) → f2(C-2, X₁) :|: 1+X₀ ≤ 0
t₁: f2(X₀, X₁) → f2(2+C, X₁) :|: 1 ≤ X₀
t₃: f2(X₀, X₁) → f300(X₀, C) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₂: f3(X₀, X₁) → f2(X₀, X₁)

Preprocessing

Eliminate variables [X₁] that do not contribute to the problem

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location f300

Problem after Preprocessing

Start: f3
Program_Vars: X₀
Temp_Vars: C
Locations: f2, f3, f300
Transitions:
t₇: f2(X₀) → f2(C-2) :|: 1+X₀ ≤ 0
t₈: f2(X₀) → f2(2+C) :|: 1 ≤ X₀
t₉: f2(X₀) → f300(X₀) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₁₀: f3(X₀) → f2(X₀)

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location f300

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}

Sizebounds

t₉, X₀: 0 {O(1)}
t₁₀, X₀: X₀ {O(n)}