Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: f0, f12, f20, f6
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f6(8, 0, 14, -1, X₄, X₅, X₆)
t₄: f12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f6(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆)
t₅: f12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f6(X₀, 1+X₄, X₂, X₃, X₄, X₅, X₆)
t₁: f6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f12(X₀, X₁, X₂, X₃, I, X₅, X₆) :|: 1+H ≤ X₀ ∧ X₁ ≤ X₂
t₂: f6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f12(X₀, X₁, X₂, X₃, I, X₅, X₆) :|: X₁ ≤ X₂
t₆: f6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f20(X₀, X₁, X₂, X₃, X₄, X₃, X₃) :|: 1+X₂ ≤ X₁
t₃: f6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f6(X₀, X₁, X₁-1, I, H, X₅, X₆) :|: X₁ ≤ X₂

Preprocessing

Eliminate variables [X₃; X₅; X₆] that do not contribute to the problem

Found invariant 1+X₂ ≤ X₁ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f20

Found invariant X₀ ≤ 8 ∧ 8 ≤ X₀ for location f6

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f12

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: H, I
Locations: f0, f12, f20, f6
Transitions:
t₁₆: f0(X₀, X₁, X₂, X₃) → f6(8, 0, 14, X₃)
t₁₇: f12(X₀, X₁, X₂, X₃) → f6(X₀, X₁, X₃-1, X₃) :|: X₀ ≤ 8 ∧ 8 ≤ X₀ ∧ X₁ ≤ X₂
t₁₈: f12(X₀, X₁, X₂, X₃) → f6(X₀, 1+X₃, X₂, X₃) :|: X₀ ≤ 8 ∧ 8 ≤ X₀ ∧ X₁ ≤ X₂
t₁₉: f6(X₀, X₁, X₂, X₃) → f12(X₀, X₁, X₂, I) :|: 1+H ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀
t₂₀: f6(X₀, X₁, X₂, X₃) → f12(X₀, X₁, X₂, I) :|: X₁ ≤ X₂ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀
t₂₁: f6(X₀, X₁, X₂, X₃) → f20(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₁ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀
t₂₂: f6(X₀, X₁, X₂, X₃) → f6(X₀, X₁, X₁-1, H) :|: X₁ ≤ X₂ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀

Cut unsatisfiable transition [t₂₁: f6→f20; t₅₃: f6→f20]

Found invariant 1+X₃ ≤ X₁ ∧ X₁ ≤ 1+X₃ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f6_v2

Found invariant X₂ ≤ 14 ∧ X₂ ≤ 14+X₁ ∧ X₁+X₂ ≤ 14 ∧ X₂ ≤ 6+X₀ ∧ X₀+X₂ ≤ 22 ∧ 14 ≤ X₂ ∧ 14 ≤ X₁+X₂ ∧ 14+X₁ ≤ X₂ ∧ 22 ≤ X₀+X₂ ∧ 6+X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 8+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 8 ∧ 0 ≤ X₁ ∧ 8 ≤ X₀+X₁ ∧ X₀ ≤ 8+X₁ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f6

Found invariant 1+X₂ ≤ X₁ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f20

Found invariant 1+X₂ ≤ X₁ ∧ X₁ ≤ 1+X₂ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f6_v1

Found invariant X₃ ≤ 1+X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f6_v3

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ 8 ∧ 8 ≤ X₀ for location f12_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₆: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: inf {Infinity}
t₁₉: inf {Infinity}
t₂₀: inf {Infinity}
t₂₁: 1 {O(1)}
t₂₂: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₁₆: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: inf {Infinity}
t₁₉: inf {Infinity}
t₂₀: inf {Infinity}
t₂₁: 1 {O(1)}
t₂₂: inf {Infinity}

Sizebounds

t₁₆, X₀: 8 {O(1)}
t₁₆, X₁: 0 {O(1)}
t₁₆, X₂: 14 {O(1)}
t₁₆, X₃: X₃ {O(n)}
t₁₇, X₀: 8 {O(1)}
t₁₈, X₀: 8 {O(1)}
t₁₉, X₀: 8 {O(1)}
t₂₀, X₀: 8 {O(1)}
t₂₁, X₀: 8 {O(1)}
t₂₂, X₀: 8 {O(1)}