Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: C, D, E
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀, X₁) → l1(0, 99)
t₁: l1(X₀, X₁) → l1(E, X₁) :|: X₀+1 ≤ X₁ ∧ D+1 ≤ C
t₂: l1(X₀, X₁) → l1(X₀, E) :|: X₀+1 ≤ X₁
t₃: l1(X₀, X₁) → l2(X₀, X₁) :|: X₁ ≤ X₀

Preprocessing

Found invariant X₁ ≤ X₀ for location l2

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: C, D, E
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀, X₁) → l1(0, 99)
t₁: l1(X₀, X₁) → l1(E, X₁) :|: X₀+1 ≤ X₁ ∧ D+1 ≤ C
t₂: l1(X₀, X₁) → l1(X₀, E) :|: X₀+1 ≤ X₁
t₃: l1(X₀, X₁) → l2(X₀, X₁) :|: X₁ ≤ X₀

Analysing control-flow refined program

Cut unsatisfiable transition t₃: l1→l2

Found invariant X₁ ≤ X₀ for location l2

Found invariant X₁ ≤ 99 ∧ X₁ ≤ 99+X₀ ∧ X₀+X₁ ≤ 99 ∧ 99 ≤ X₁ ∧ 99 ≤ X₀+X₁ ∧ 99+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}
t₂: inf {Infinity}
t₃: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}
t₂: inf {Infinity}
t₃: 1 {O(1)}

Sizebounds

t₀, X₀: 0 {O(1)}
t₀, X₁: 99 {O(1)}