KoAT2 Proof Output

Initial Problem

Start: f6
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇
Temp_Vars: A1, S, T, U, V, W, X, Y, Z
Locations: f0, f12, f5, f6, f9
Transitions:
t₁: f5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) → f0(X₀, X₁, X₂, X₃, X₄, X₅, S, X₆, V, W, X, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) :|: 1+T ≤ U ∧ 1 ≤ X₄ ∧ 0 ≤ X₅
t₃: f5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) → f12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, V, W, X₁₀, X₁₂, X₁₂, 0, X₁₄, X₄, S, X₁₇) :|: T ≤ X ∧ 0 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ 0 ≤ X₁₃ ∧ X₁₃ ≤ 0
t₂: f5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) → f5(X₀, X₁, X₂, X₃, 1+X₄, X₅-1, X₁₂, 0, W, X, X₁₀, X₁₂, X₁₃, V, S, X₄, X₁₆, X₁₇) :|: U ≤ T ∧ 0 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0
t₅: f6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) → f9(17, 1, 0, S, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, V, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇)
t₄: f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) → f5(X₀, X₁, X₂, X₃, 1, T+X₂-3, S, 0, U, A1, X₁₀, S, V, X, W, X₁₅, X₃, X₂-2) :|: 2 ≤ X₂ ∧ Z ≤ Y ∧ X₀ ≤ X₁
t₀: f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) → f9(X₀, 1+X₁, 1+X₂, S, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇) :|: 1+X₁ ≤ X₀ ∧ 0 ≤ X₂

Preprocessing

Eliminate variables [A1; W; X₃; X₈; X₉; X₁₀; X₁₁; X₁₄; X₁₅; X₁₆; X₁₇] that do not contribute to the problem

Found invariant 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 16 ≤ X₂+X₄ ∧ X₂ ≤ 16+X₄ ∧ 17 ≤ X₁+X₄ ∧ X₁ ≤ 17+X₄ ∧ 17 ≤ X₀+X₄ ∧ X₀ ≤ 17+X₄ ∧ 1 ≤ X₃ ∧ 17 ≤ X₂+X₃ ∧ X₂ ≤ 15+X₃ ∧ 18 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 18 ≤ X₀+X₃ ∧ X₀ ≤ 16+X₃ ∧ X₂ ≤ 16 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 33 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 33 ∧ 16 ≤ X₂ ∧ 33 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 33 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 34 ∧ 17 ≤ X₁ ∧ 34 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 17 ∧ 17 ≤ X₀ for location f0

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₃ ∧ 16+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 16 ∧ 17+X₆ ≤ X₁ ∧ X₁+X₆ ≤ 17 ∧ 17+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 17 ∧ 0 ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 16 ≤ X₂+X₆ ∧ X₂ ≤ 16+X₆ ∧ 17 ≤ X₁+X₆ ∧ X₁ ≤ 17+X₆ ∧ 17 ≤ X₀+X₆ ∧ X₀ ≤ 17+X₆ ∧ 1 ≤ X₃ ∧ 17 ≤ X₂+X₃ ∧ X₂ ≤ 15+X₃ ∧ 18 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 18 ≤ X₀+X₃ ∧ X₀ ≤ 16+X₃ ∧ X₂ ≤ 16 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 33 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 33 ∧ 16 ≤ X₂ ∧ 33 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 33 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 34 ∧ 17 ≤ X₁ ∧ 34 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 17 ∧ 17 ≤ X₀ for location f5

Found invariant X₂ ≤ 16 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 33 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 33 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 17 ≤ X₀+X₂ ∧ X₀ ≤ 17+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 34 ∧ 1 ≤ X₁ ∧ 18 ≤ X₀+X₁ ∧ X₀ ≤ 16+X₁ ∧ X₀ ≤ 17 ∧ 17 ≤ X₀ for location f9

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 0 ∧ X₈ ≤ X₄ ∧ 1+X₈ ≤ X₃ ∧ 16+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 16 ∧ 17+X₈ ≤ X₁ ∧ X₁+X₈ ≤ 17 ∧ 17+X₈ ≤ X₀ ∧ X₀+X₈ ≤ 17 ∧ 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 16 ≤ X₂+X₈ ∧ X₂ ≤ 16+X₈ ∧ 17 ≤ X₁+X₈ ∧ X₁ ≤ 17+X₈ ∧ 17 ≤ X₀+X₈ ∧ X₀ ≤ 17+X₈ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 16+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 16 ∧ 17+X₆ ≤ X₁ ∧ X₁+X₆ ≤ 17 ∧ 17+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 17 ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 16 ≤ X₂+X₆ ∧ X₂ ≤ 16+X₆ ∧ 17 ≤ X₁+X₆ ∧ X₁ ≤ 17+X₆ ∧ 17 ≤ X₀+X₆ ∧ X₀ ≤ 17+X₆ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 16 ≤ X₂+X₄ ∧ X₂ ≤ 16+X₄ ∧ 17 ≤ X₁+X₄ ∧ X₁ ≤ 17+X₄ ∧ 17 ≤ X₀+X₄ ∧ X₀ ≤ 17+X₄ ∧ 1 ≤ X₃ ∧ 17 ≤ X₂+X₃ ∧ X₂ ≤ 15+X₃ ∧ 18 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 18 ≤ X₀+X₃ ∧ X₀ ≤ 16+X₃ ∧ X₂ ≤ 16 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 33 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 33 ∧ 16 ≤ X₂ ∧ 33 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 33 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 34 ∧ 17 ≤ X₁ ∧ 34 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 17 ∧ 17 ≤ X₀ for location f12

Problem after Preprocessing

Start: f6
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: S, T, U, V, X, Y, Z
Locations: f0, f12, f5, f6, f9
Transitions:
t₁₂: f5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f0(X₀, X₁, X₂, X₃, X₄, S, X₅, X₇, X₈) :|: 1+T ≤ U ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₀+X₁ ≤ 34 ∧ X₀+X₂ ≤ 33 ∧ X₁+X₂ ≤ 33 ∧ X₀ ≤ 17 ∧ X₀ ≤ 17+X₆ ∧ X₀+X₆ ≤ 17 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₆ ∧ X₁+X₆ ≤ 17 ∧ X₀ ≤ 16+X₃ ∧ X₁ ≤ 16+X₃ ∧ X₂ ≤ 16 ∧ X₂ ≤ 16+X₆ ∧ X₂+X₆ ≤ 16 ∧ X₂ ≤ 15+X₃ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₃+X₆ ∧ 1+X₆ ≤ X₃ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 16+X₆ ≤ X₂ ∧ 17 ≤ X₀ ∧ 17 ≤ X₀+X₆ ∧ 17+X₆ ≤ X₀ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₆ ∧ 17+X₆ ≤ X₁ ∧ 17 ≤ X₂+X₃ ∧ 18 ≤ X₀+X₃ ∧ 18 ≤ X₁+X₃ ∧ 33 ≤ X₀+X₂ ∧ 33 ≤ X₁+X₂ ∧ 34 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₆ ∧ X₆ ≤ 0
t₁₃: f5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f12(X₀, X₁, X₂, X₃, X₄, X₅, 0, X₇, 0) :|: T ≤ X ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ 0 ≤ X₈ ∧ X₈ ≤ 0 ∧ X₀+X₁ ≤ 34 ∧ X₀+X₂ ≤ 33 ∧ X₁+X₂ ≤ 33 ∧ X₀ ≤ 17 ∧ X₀ ≤ 17+X₆ ∧ X₀+X₆ ≤ 17 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₆ ∧ X₁+X₆ ≤ 17 ∧ X₀ ≤ 16+X₃ ∧ X₁ ≤ 16+X₃ ∧ X₂ ≤ 16 ∧ X₂ ≤ 16+X₆ ∧ X₂+X₆ ≤ 16 ∧ X₂ ≤ 15+X₃ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₆ ∧ 1+X₆ ≤ X₃ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 16+X₆ ≤ X₂ ∧ 17 ≤ X₀ ∧ 17 ≤ X₀+X₆ ∧ 17+X₆ ≤ X₀ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₆ ∧ 17+X₆ ≤ X₁ ∧ 17 ≤ X₂+X₃ ∧ 18 ≤ X₀+X₃ ∧ 18 ≤ X₁+X₃ ∧ 33 ≤ X₀+X₂ ∧ 33 ≤ X₁+X₂ ∧ 34 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₁₄: f5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f5(X₀, X₁, X₂, 1+X₃, X₄-1, X₇, 0, X₈, V) :|: U ≤ T ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₀+X₁ ≤ 34 ∧ X₀+X₂ ≤ 33 ∧ X₁+X₂ ≤ 33 ∧ X₀ ≤ 17 ∧ X₀ ≤ 17+X₆ ∧ X₀+X₆ ≤ 17 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₆ ∧ X₁+X₆ ≤ 17 ∧ X₀ ≤ 16+X₃ ∧ X₁ ≤ 16+X₃ ∧ X₂ ≤ 16 ∧ X₂ ≤ 16+X₆ ∧ X₂+X₆ ≤ 16 ∧ X₂ ≤ 15+X₃ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₆ ∧ 1+X₆ ≤ X₃ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 16+X₆ ≤ X₂ ∧ 17 ≤ X₀ ∧ 17 ≤ X₀+X₆ ∧ 17+X₆ ≤ X₀ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₆ ∧ 17+X₆ ≤ X₁ ∧ 17 ≤ X₂+X₃ ∧ 18 ≤ X₀+X₃ ∧ 18 ≤ X₁+X₃ ∧ 33 ≤ X₀+X₂ ∧ 33 ≤ X₁+X₂ ∧ 34 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₁₅: f6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f9(17, 1, 0, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₆: f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f5(X₀, X₁, X₂, 1, T+X₂-3, S, 0, V, X) :|: 2 ≤ X₂ ∧ Z ≤ Y ∧ X₀ ≤ X₁ ∧ X₀+X₁ ≤ 34 ∧ X₀+X₂ ≤ 33 ∧ X₁+X₂ ≤ 33 ∧ X₀ ≤ 17 ∧ X₀ ≤ 17+X₂ ∧ X₁ ≤ 17 ∧ X₀ ≤ 16+X₁ ∧ X₂ ≤ 16 ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 17 ≤ X₀ ∧ 17 ≤ X₀+X₂ ∧ 18 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₂
t₁₇: f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f9(X₀, 1+X₁, 1+X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₀+X₁ ≤ 34 ∧ X₀+X₂ ≤ 33 ∧ X₁+X₂ ≤ 33 ∧ X₀ ≤ 17 ∧ X₀ ≤ 17+X₂ ∧ X₁ ≤ 17 ∧ X₀ ≤ 16+X₁ ∧ X₂ ≤ 16 ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 17 ≤ X₀ ∧ 17 ≤ X₀+X₂ ∧ 18 ≤ X₀+X₁ ∧ X₁ ≤ X₀

MPRF for transition t₁₇: f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f9(X₀, 1+X₁, 1+X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₁ ≤ X₀ ∧ 0 ≤ X₂ ∧ X₀+X₁ ≤ 34 ∧ X₀+X₂ ≤ 33 ∧ X₁+X₂ ≤ 33 ∧ X₀ ≤ 17 ∧ X₀ ≤ 17+X₂ ∧ X₁ ≤ 17 ∧ X₀ ≤ 16+X₁ ∧ X₂ ≤ 16 ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 17 ≤ X₀ ∧ 17 ≤ X₀+X₂ ∧ 18 ≤ X₀+X₁ ∧ X₁ ≤ X₀ of depth 1:

new bound:

17 {O(1)}

MPRF:

• f9: [17-X₂]

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 1 ∧ 16+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 16 ∧ 17+X₆ ≤ X₁ ∧ X₁+X₆ ≤ 17 ∧ 17+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 17 ∧ 0 ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ X₃ ≤ 1+X₆ ∧ 16 ≤ X₂+X₆ ∧ X₂ ≤ 16+X₆ ∧ 17 ≤ X₁+X₆ ∧ X₁ ≤ 17+X₆ ∧ 17 ≤ X₀+X₆ ∧ X₀ ≤ 17+X₆ ∧ X₃ ≤ 1 ∧ 15+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 17 ∧ 16+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 18 ∧ 16+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 18 ∧ 1 ≤ X₃ ∧ 17 ≤ X₂+X₃ ∧ X₂ ≤ 15+X₃ ∧ 18 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 18 ≤ X₀+X₃ ∧ X₀ ≤ 16+X₃ ∧ X₂ ≤ 16 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 33 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 33 ∧ 16 ≤ X₂ ∧ 33 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 33 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 34 ∧ 17 ≤ X₁ ∧ 34 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 17 ∧ 17 ≤ X₀ for location f5

Found invariant X₆ ≤ 0 ∧ X₆ ≤ 1+X₄ ∧ 2+X₆ ≤ X₃ ∧ 16+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 16 ∧ 17+X₆ ≤ X₁ ∧ X₁+X₆ ≤ 17 ∧ 17+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 17 ∧ 0 ≤ X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 16 ≤ X₂+X₆ ∧ X₂ ≤ 16+X₆ ∧ 17 ≤ X₁+X₆ ∧ X₁ ≤ 17+X₆ ∧ 17 ≤ X₀+X₆ ∧ X₀ ≤ 17+X₆ ∧ 0 ≤ 1+X₄ ∧ 1 ≤ X₃+X₄ ∧ 15 ≤ X₂+X₄ ∧ X₂ ≤ 17+X₄ ∧ 16 ≤ X₁+X₄ ∧ X₁ ≤ 18+X₄ ∧ 16 ≤ X₀+X₄ ∧ X₀ ≤ 18+X₄ ∧ 2 ≤ X₃ ∧ 18 ≤ X₂+X₃ ∧ X₂ ≤ 14+X₃ ∧ 19 ≤ X₁+X₃ ∧ X₁ ≤ 15+X₃ ∧ 19 ≤ X₀+X₃ ∧ X₀ ≤ 15+X₃ ∧ X₂ ≤ 16 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 33 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 33 ∧ 16 ≤ X₂ ∧ 33 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 33 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 34 ∧ 17 ≤ X₁ ∧ 34 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 17 ∧ 17 ≤ X₀ for location f5_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 17 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 17 {O(1)}

Sizebounds

t₁₂, X₀: 17 {O(1)}
t₁₂, X₁: 17 {O(1)}
t₁₂, X₂: 16 {O(1)}
t₁₃, X₀: 17 {O(1)}
t₁₃, X₁: 17 {O(1)}
t₁₃, X₂: 16 {O(1)}
t₁₃, X₆: 0 {O(1)}
t₁₃, X₈: 0 {O(1)}
t₁₄, X₀: 17 {O(1)}
t₁₄, X₁: 17 {O(1)}
t₁₄, X₂: 16 {O(1)}
t₁₄, X₆: 0 {O(1)}
t₁₅, X₀: 17 {O(1)}
t₁₅, X₁: 1 {O(1)}
t₁₅, X₂: 0 {O(1)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: X₅ {O(n)}
t₁₅, X₆: X₆ {O(n)}
t₁₅, X₇: X₇ {O(n)}
t₁₅, X₈: X₈ {O(n)}
t₁₆, X₀: 17 {O(1)}
t₁₆, X₁: 17 {O(1)}
t₁₆, X₂: 16 {O(1)}
t₁₆, X₃: 1 {O(1)}
t₁₆, X₆: 0 {O(1)}
t₁₇, X₀: 17 {O(1)}
t₁₇, X₁: 17 {O(1)}
t₁₇, X₂: 16 {O(1)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: X₅ {O(n)}
t₁₇, X₆: X₆ {O(n)}
t₁₇, X₇: X₇ {O(n)}
t₁₇, X₈: X₈ {O(n)}