Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀
Temp_Vars: L, M
Locations: f0, f11, f38, f54
Transitions:
t₄: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → f38(1, 2, X₂, 1, 10, X₅, X₆, X₇, 10, 2, L)
t₀: f11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → f54(X₀, X₁, X₀+X₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₁ ≤ X₀
t₁: f11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → f54(X₀, X₁, X₁-X₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1+X₀ ≤ X₁
t₂: f38(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → f11(L, X₁, X₂, X₃, X₄, X₃, X₃, X₇, X₈, X₉, X₁₀) :|: 1+X₄ ≤ X₃
t₃: f38(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → f11(L, X₁, X₂, X₃, X₄, X₃, X₃, M, X₈, X₉, X₁₀) :|: X₃ ≤ X₄

Preprocessing

Cut unsatisfiable transition [t₂: f38→f11]

Eliminate variables [M; X₂; X₅; X₆; X₇; X₈; X₉; X₁₀] that do not contribute to the problem

Found invariant X₃ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₃ ≤ 11 ∧ X₃ ≤ 8+X₁ ∧ X₁+X₃ ≤ 12 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₃ ≤ 11 ∧ 10 ≤ X₃ ∧ 11 ≤ X₂+X₃ ∧ 9+X₂ ≤ X₃ ∧ 12 ≤ X₁+X₃ ∧ 8+X₁ ≤ X₃ ∧ 11 ≤ X₀+X₃ ∧ 9+X₀ ≤ X₃ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 3 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 2 ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 3 ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location f38

Found invariant X₃ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₃ ≤ 11 ∧ X₃ ≤ 8+X₁ ∧ X₁+X₃ ≤ 12 ∧ 10 ≤ X₃ ∧ 11 ≤ X₂+X₃ ∧ 9+X₂ ≤ X₃ ∧ 12 ≤ X₁+X₃ ∧ 8+X₁ ≤ X₃ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 3 ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ X₁ ≤ 2 ∧ 2 ≤ X₁ for location f54

Found invariant X₃ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₃ ≤ 11 ∧ X₃ ≤ 8+X₁ ∧ X₁+X₃ ≤ 12 ∧ 10 ≤ X₃ ∧ 11 ≤ X₂+X₃ ∧ 9+X₂ ≤ X₃ ∧ 12 ≤ X₁+X₃ ∧ 8+X₁ ≤ X₃ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 3 ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ X₁ ≤ 2 ∧ 2 ≤ X₁ for location f11

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: L
Locations: f0, f11, f38, f54
Transitions:
t₉: f0(X₀, X₁, X₂, X₃) → f38(1, 2, 1, 10)
t₁₀: f11(X₀, X₁, X₂, X₃) → f54(X₀, X₁, X₂, X₃) :|: X₁ ≤ X₀ ∧ X₁+X₃ ≤ 12 ∧ X₂+X₃ ≤ 11 ∧ X₃ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 8+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₂ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 8+X₁ ≤ X₃ ∧ 9+X₂ ≤ X₃ ∧ 10 ≤ X₃ ∧ 11 ≤ X₂+X₃ ∧ 12 ≤ X₁+X₃
t₁₁: f11(X₀, X₁, X₂, X₃) → f54(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ X₂+X₃ ≤ 11 ∧ X₃ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 8+X₁ ∧ X₁+X₂ ≤ 3 ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₂ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ 8+X₁ ≤ X₃ ∧ 9+X₂ ≤ X₃ ∧ 10 ≤ X₃ ∧ 11 ≤ X₂+X₃ ∧ 12 ≤ X₁+X₃
t₁₂: f38(X₀, X₁, X₂, X₃) → f11(L, X₁, X₂, X₃) :|: X₂ ≤ X₃ ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 11 ∧ X₂+X₃ ≤ 11 ∧ X₃ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 8+X₁ ∧ X₀+X₁ ≤ 3 ∧ X₁+X₂ ≤ 3 ∧ X₀+X₂ ≤ 2 ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 8+X₁ ≤ X₃ ∧ 9+X₀ ≤ X₃ ∧ 9+X₂ ≤ X₃ ∧ 10 ≤ X₃ ∧ 11 ≤ X₀+X₃ ∧ 11 ≤ X₂+X₃ ∧ 12 ≤ X₁+X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂

All Bounds

Timebounds

Overall timebound:4 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}

Costbounds

Overall costbound: 4 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}

Sizebounds

t₉, X₀: 1 {O(1)}
t₉, X₁: 2 {O(1)}
t₉, X₂: 1 {O(1)}
t₉, X₃: 10 {O(1)}
t₁₀, X₁: 2 {O(1)}
t₁₀, X₂: 1 {O(1)}
t₁₀, X₃: 10 {O(1)}
t₁₁, X₁: 2 {O(1)}
t₁₁, X₂: 1 {O(1)}
t₁₁, X₃: 10 {O(1)}
t₁₂, X₁: 2 {O(1)}
t₁₂, X₂: 1 {O(1)}
t₁₂, X₃: 10 {O(1)}