Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F, G
Locations: f0, f24, f37, f48, f9
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄) → f9(F, F, F, 0, X₄)
t₂: f24(X₀, X₁, X₂, X₃, X₄) → f24(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0
t₃: f24(X₀, X₁, X₂, X₃, X₄) → f24(X₀, X₁, X₂, X₃, X₄)
t₇: f24(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, X₃, X₄)
t₄: f37(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, X₃, X₄) :|: 1+G ≤ F
t₅: f37(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, X₃, X₄)
t₆: f37(X₀, X₁, X₂, X₃, X₄) → f48(X₀, X₁, X₂, X₃, X₄)
t₈: f9(X₀, X₁, X₂, X₃, X₄) → f24(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ X₃
t₁: f9(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, 1+X₃, F) :|: 1+X₃ ≤ X₂

Preprocessing

Eliminate variables [X₀; X₁; X₄] that do not contribute to the problem

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f48

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f24

Found invariant 0 ≤ X₁ for location f9

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f37

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁
Temp_Vars: F, G
Locations: f0, f24, f37, f48, f9
Transitions:
t₁₉: f0(X₀, X₁) → f9(F, 0)
t₂₀: f24(X₀, X₁) → f24(X₀, X₁) :|: 1+F ≤ 0 ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₁: f24(X₀, X₁) → f24(X₀, X₁) :|: X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₂: f24(X₀, X₁) → f37(X₀, X₁) :|: X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₃: f37(X₀, X₁) → f37(X₀, X₁) :|: 1+G ≤ F ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₄: f37(X₀, X₁) → f37(X₀, X₁) :|: X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₅: f37(X₀, X₁) → f48(X₀, X₁) :|: X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₆: f9(X₀, X₁) → f24(X₀, X₁) :|: X₀ ≤ X₁ ∧ 0 ≤ X₁
t₂₇: f9(X₀, X₁) → f9(X₀, 1+X₁) :|: 1+X₁ ≤ X₀ ∧ 0 ≤ X₁

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f48

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f24

Found invariant X₁ ≤ 0 ∧ 0 ≤ X₁ for location f9

Found invariant X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location f9_v1

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f37

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f24_v1

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f48

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f24

Found invariant 0 ≤ X₁ for location f9

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f37

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f48

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f24

Found invariant 0 ≤ X₁ for location f9

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f37

Found invariant 0 ≤ X₁ ∧ X₀ ≤ X₁ for location f37_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₁: inf {Infinity}
t₂₂: 1 {O(1)}
t₂₃: inf {Infinity}
t₂₄: inf {Infinity}
t₂₅: 1 {O(1)}
t₂₆: 1 {O(1)}
t₂₇: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₁: inf {Infinity}
t₂₂: 1 {O(1)}
t₂₃: inf {Infinity}
t₂₄: inf {Infinity}
t₂₅: 1 {O(1)}
t₂₆: 1 {O(1)}
t₂₇: inf {Infinity}

Sizebounds

t₁₉, X₁: 0 {O(1)}