Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: l0, l1, l2, l3, l4
Transitions:
t₅: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(2⋅I+1, H, 0, X₃, H, 2⋅I+1, I) :|: 1 ≤ H ∧ 0 ≤ 2⋅I
t₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀-1, X₁-1, X₂+1, H, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ H
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀-1, X₁, X₂, H, X₄, X₅, X₆) :|: H ≤ 0 ∧ 1 ≤ X₀ ∧ X₁+1 ≤ X₀
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Cut unreachable locations [l3; l4] from the program graph

Eliminate variables {X₂,X₃,X₄,X₅,X₆} that do not contribute to the problem

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant 0 ≤ X₀ for location l1

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: H, I
Locations: l0, l1, l2
Transitions:
t₁₂: l0(X₀, X₁) → l1(2⋅I+1, H) :|: 1 ≤ H ∧ 0 ≤ 2⋅I
t₁₃: l1(X₀, X₁) → l1(X₀-1, X₁-1) :|: 1 ≤ X₀ ∧ 1 ≤ H ∧ 0 ≤ X₀
t₁₄: l1(X₀, X₁) → l1(X₀-1, X₁) :|: H ≤ 0 ∧ 1 ≤ X₀ ∧ X₁+1 ≤ X₀ ∧ 0 ≤ X₀
t₁₅: l1(X₀, X₁) → l2(X₀, X₁) :|: X₀ ≤ 0 ∧ 0 ≤ X₀
t₁₆: l2(X₀, X₁) → l2(X₀, X₁) :|: X₀ ≤ 0 ∧ 0 ≤ X₀

Analysing control-flow refined program

Cut unsatisfiable transition t₁₅: l1→l2

Cut unsatisfiable transition t₆₈: n_l1___2→l2

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l1___2

Found invariant 0 ≤ X₀ for location n_l1___3

Found invariant 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l1

Found invariant X₁ ≤ X₀ ∧ 0 ≤ X₀ for location n_l1___1

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

Analysing control-flow refined program

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant 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}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: inf {Infinity}

Sizebounds

t₁₅, X₀: 0 {O(1)}
t₁₆, X₀: 0 {O(1)}