Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F, G
Locations: l0, l1, l2, l3, l4
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l1(F, F, F, 0, X₄)
t₁: l1(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃+1, F) :|: X₃+1 ≤ X₂
t₈: l1(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ X₃
t₂: l2(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄) :|: F+1 ≤ 0
t₃: l2(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃, X₄)
t₇: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄)
t₄: l3(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄) :|: G+1 ≤ F
t₅: l3(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄)
t₆: l3(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄)

Preprocessing

Eliminate variables {X₀,X₁,X₄} that do not contribute to the problem

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l2

Found invariant 0 ≤ X₁ for location l1

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l4

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: F, G
Locations: l0, l1, l2, l3, l4
Transitions:
t₂₀: l0(X₀, X₁) → l1(F, 0)
t₂₁: l1(X₀, X₁) → l1(X₀, X₁+1) :|: X₁+1 ≤ X₀ ∧ 0 ≤ X₁
t₂₂: l1(X₀, X₁) → l2(X₀, X₁) :|: X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₃: l2(X₀, X₁) → l2(X₀, X₁) :|: F+1 ≤ 0 ∧ 0 ≤ X₁ ∧ X₀ ≤ X₁
t₂₄: l2(X₀, X₁) → l2(X₀, X₁) :|: 0 ≤ X₁ ∧ X₀ ≤ X₁
t₂₅: l2(X₀, X₁) → l3(X₀, X₁) :|: 0 ≤ X₁ ∧ X₀ ≤ X₁
t₂₆: l3(X₀, X₁) → l3(X₀, X₁) :|: G+1 ≤ F ∧ 0 ≤ X₁ ∧ X₀ ≤ X₁
t₂₇: l3(X₀, X₁) → l3(X₀, X₁) :|: 0 ≤ X₁ ∧ X₀ ≤ X₁
t₂₈: l3(X₀, X₁) → l4(X₀, X₁) :|: 0 ≤ X₁ ∧ X₀ ≤ X₁

Analysing control-flow refined program

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l2

Found invariant X₁ ≤ 0 ∧ 0 ≤ X₁ for location l1

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l4

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l3

Found invariant X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ 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 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l2

Found invariant 0 ≤ X₁ for location l1

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l4

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l3

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

Analysing control-flow refined program

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l2

Found invariant 0 ≤ X₁ for location l1

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l4

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location l3

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: inf {Infinity}
t₂₂: 1 {O(1)}
t₂₃: inf {Infinity}
t₂₄: inf {Infinity}
t₂₅: 1 {O(1)}
t₂₆: inf {Infinity}
t₂₇: inf {Infinity}
t₂₈: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: inf {Infinity}
t₂₂: 1 {O(1)}
t₂₃: inf {Infinity}
t₂₄: inf {Infinity}
t₂₅: 1 {O(1)}
t₂₆: inf {Infinity}
t₂₇: inf {Infinity}
t₂₈: 1 {O(1)}

Sizebounds

t₂₀, X₁: 0 {O(1)}