Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₄: l0(X₀, X₁) → l1(X₀, X₁)
t₀: l1(X₀, X₁) → l1(X₀-X₁, X₁) :|: X₁+1 ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁
t₁: l1(X₀, X₁) → l1(X₀-X₁, X₁) :|: X₀+1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₁+1 ≤ X₀
t₂: l1(X₀, X₁) → l1(X₀, X₁-X₀) :|: X₁+1 ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁
t₃: l1(X₀, X₁) → l1(X₀, X₁-X₀) :|: X₀+1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁

Preprocessing

Cut unsatisfiable transition t₁: l1→l1

Cut unsatisfiable transition t₂: l1→l1

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₄: l0(X₀, X₁) → l1(X₀, X₁)
t₀: l1(X₀, X₁) → l1(X₀-X₁, X₁) :|: X₁+1 ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁
t₃: l1(X₀, X₁) → l1(X₀, X₁-X₀) :|: X₀+1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁

Analysing control-flow refined program

Found invariant 2 ≤ X₀+X₁ for location n_l1___1

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₄: 1 {O(1)}
t₀: inf {Infinity}
t₃: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₄: 1 {O(1)}
t₀: inf {Infinity}
t₃: inf {Infinity}

Sizebounds

t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₀, X₀: 2⋅X₀ {O(n)}
t₀, X₁: 2⋅X₁ {O(n)}
t₃, X₀: 2⋅X₀ {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}