Initial Problem
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: f0, f102, f70, f78, f81, f92, f98
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f70(5, 20, 0, 0, X₄, X₅, X₆)
t₈: f102(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f102(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀
t₉: f102(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f98(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁: f70(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f70(X₀, X₁, X₂, 1+X₂, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: f70(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f70(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₂
t₃: f70(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f70(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃
t₁₃: f70(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f78(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₄: f78(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f81(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 1+X₃ ≤ X₀
t₁₂: f78(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f92(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₁: f81(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f78(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₅: f81(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f81(X₀, X₁, X₂, X₃, 1+X₄, H, I) :|: 1+X₄ ≤ X₁
t₁₀: f92(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f102(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₁ ≤ X₃
t₇: f92(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f92(X₀, X₁, X₂, 1+X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₆: f92(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f98(X₀, X₁, X₂, X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
Preprocessing
Cut unsatisfiable transition [t₂: f70→f70]
Eliminate variables [H; I; X₅; X₆] that do not contribute to the problem
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 20 ≤ X₁+X₃ ∧ X₁ ≤ 20+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 20+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 20 ≤ X₁+X₂ ∧ X₁ ≤ 20+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 20 ∧ X₁ ≤ 15+X₀ ∧ X₀+X₁ ≤ 25 ∧ 20 ≤ X₁ ∧ 25 ≤ X₀+X₁ ∧ 15+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f92
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 15+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 25 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 20 ≤ X₁+X₃ ∧ X₁ ≤ 20+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 20+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 20 ≤ X₁+X₂ ∧ X₁ ≤ 20+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 20 ∧ X₁ ≤ 15+X₀ ∧ X₀+X₁ ≤ 25 ∧ 20 ≤ X₁ ∧ 25 ≤ X₀+X₁ ∧ 15+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f102
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 15+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 25 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 20 ≤ X₁+X₃ ∧ X₁ ≤ 20+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 20+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 20 ≤ X₁+X₂ ∧ X₁ ≤ 20+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 20 ∧ X₁ ≤ 15+X₀ ∧ X₀+X₁ ≤ 25 ∧ 20 ≤ X₁ ∧ 25 ≤ X₀+X₁ ∧ 15+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f78
Found invariant X₃ ≤ 19 ∧ X₃ ≤ 19+X₂ ∧ X₂+X₃ ≤ 19 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 39 ∧ X₃ ≤ 14+X₀ ∧ X₀+X₃ ≤ 24 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 20 ≤ X₁+X₃ ∧ X₁ ≤ 20+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 20+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 20 ≤ X₁+X₂ ∧ X₁ ≤ 20+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 20 ∧ X₁ ≤ 15+X₀ ∧ X₀+X₁ ≤ 25 ∧ 20 ≤ X₁ ∧ 25 ≤ X₀+X₁ ∧ 15+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f98
Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 20 ≤ X₁+X₄ ∧ X₁ ≤ 20+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 16+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 24 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 20 ≤ X₁+X₃ ∧ X₁ ≤ 20+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 20+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 20 ≤ X₁+X₂ ∧ X₁ ≤ 20+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 20 ∧ X₁ ≤ 15+X₀ ∧ X₀+X₁ ≤ 25 ∧ 20 ≤ X₁ ∧ 25 ≤ X₀+X₁ ∧ 15+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f81
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 15+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 25 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 20 ≤ X₁+X₃ ∧ X₁ ≤ 20+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 20+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 20 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 20 ≤ X₁+X₂ ∧ X₁ ≤ 20+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 20 ∧ X₁ ≤ 15+X₀ ∧ X₀+X₁ ≤ 25 ∧ 20 ≤ X₁ ∧ 25 ≤ X₀+X₁ ∧ 15+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f70
Problem after Preprocessing
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: f0, f102, f70, f78, f81, f92, f98
Transitions:
t₃₅: f0(X₀, X₁, X₂, X₃, X₄) → f70(5, 20, 0, 0, X₄)
t₃₆: f102(X₀, X₁, X₂, X₃, X₄) → f102(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₃₇: f102(X₀, X₁, X₂, X₃, X₄) → f98(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₃₈: f70(X₀, X₁, X₂, X₃, X₄) → f70(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₃₉: f70(X₀, X₁, X₂, X₃, X₄) → f70(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₀: f70(X₀, X₁, X₂, X₃, X₄) → f78(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₁: f78(X₀, X₁, X₂, X₃, X₄) → f81(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₂: f78(X₀, X₁, X₂, X₃, X₄) → f92(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₃: f81(X₀, X₁, X₂, X₃, X₄) → f78(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₄: f81(X₀, X₁, X₂, X₃, X₄) → f81(X₀, X₁, X₂, X₃, 1+X₄) :|: 1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₅: f92(X₀, X₁, X₂, X₃, X₄) → f102(X₀, X₁, X₂, 0, X₄) :|: X₁ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₆: f92(X₀, X₁, X₂, X₃, X₄) → f92(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₇: f92(X₀, X₁, X₂, X₃, X₄) → f98(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
knowledge_propagation leads to new time bound 1 {O(1)} for transition t₃₈: f70(X₀, X₁, X₂, X₃, X₄) → f70(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
MPRF for transition t₃₉: f70(X₀, X₁, X₂, X₃, X₄) → f70(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
81 {O(1)}
MPRF:
• f70: [81-16⋅X₃]
MPRF for transition t₄₁: f78(X₀, X₁, X₂, X₃, X₄) → f81(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
46 {O(1)}
MPRF:
• f78: [26-X₁-X₃]
• f81: [10-X₀-X₃]
MPRF for transition t₄₃: f81(X₀, X₁, X₂, X₃, X₄) → f78(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
35 {O(1)}
MPRF:
• f78: [X₁-15-X₃]
• f81: [5-X₃]
TWN: t₄₄: f81→f81
cycle: [t₄₄: f81→f81]
original loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄,(X₀,X₁,X₂,X₃,X₄) -> (X₀,X₁,X₂,X₃,1+X₄))
transformed loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄,(X₀,X₁,X₂,X₃,X₄) -> (X₀,X₁,X₂,X₃,1+X₄))
loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄,(X₀,X₁,X₂,X₃,X₄) -> (X₀,X₁,X₂,X₃,1+X₄))
order: [X₄; X₃; X₂; X₁; X₀]
closed-form:X₄: X₄ + [[n != 0]]⋅n^1
X₃: X₃
X₂: X₂
X₁: X₁
X₀: X₀
Termination: true
Formula:
X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ 1 ∧ X₁ ≤ 1+X₄ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
∨ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 2+X₄ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
∨ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 24 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 20+X₄ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 15+X₀ ≤ X₁ ∧ 16+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 20 ≤ X₁+X₄ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
Stabilization-Threshold for: 1+X₄ ≤ X₁
alphas_abs: X₁+X₄
M: 0
N: 1
Bound: 2⋅X₁+2⋅X₄+2 {O(n)}
TWN - Lifting for [44: f81->f81] of 2⋅X₁+2⋅X₄+4 {O(n)}
relevant size-bounds w.r.t. t₄₁: f78→f81:
X₁: 20 {O(1)}
X₄: 0 {O(1)}
Runtime-bound of t₄₁: 46 {O(1)}
Results in: 2024 {O(1)}
MPRF for transition t₄₆: f92(X₀, X₁, X₂, X₃, X₄) → f92(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
20 {O(1)}
MPRF:
• f92: [X₁-X₃]
MPRF for transition t₃₆: f102(X₀, X₁, X₂, X₃, X₄) → f102(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 25 ∧ X₁+X₃ ≤ 25 ∧ X₁ ≤ 20 ∧ X₁ ≤ 20+X₂ ∧ X₁+X₂ ≤ 20 ∧ X₁ ≤ 20+X₃ ∧ X₁ ≤ 15+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 15+X₀ ≤ X₁ ∧ 15+X₃ ≤ X₁ ∧ 20 ≤ X₁ ∧ 20 ≤ X₁+X₂ ∧ 20+X₂ ≤ X₁ ∧ 20 ≤ X₁+X₃ ∧ 25 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f102: [6-X₃]
All Bounds
Timebounds
Overall timebound:2219 {O(1)}
t₃₅: 1 {O(1)}
t₃₆: 6 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 81 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 46 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 35 {O(1)}
t₄₄: 2024 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 20 {O(1)}
t₄₇: 1 {O(1)}
Costbounds
Overall costbound: 2219 {O(1)}
t₃₅: 1 {O(1)}
t₃₆: 6 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 81 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 46 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 35 {O(1)}
t₄₄: 2024 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 20 {O(1)}
t₄₇: 1 {O(1)}
Sizebounds
t₃₅, X₀: 5 {O(1)}
t₃₅, X₁: 20 {O(1)}
t₃₅, X₂: 0 {O(1)}
t₃₅, X₃: 0 {O(1)}
t₃₅, X₄: X₄ {O(n)}
t₃₆, X₀: 5 {O(1)}
t₃₆, X₁: 20 {O(1)}
t₃₆, X₂: 0 {O(1)}
t₃₆, X₃: 5 {O(1)}
t₃₆, X₄: 20 {O(1)}
t₃₇, X₀: 5 {O(1)}
t₃₇, X₁: 20 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 5 {O(1)}
t₃₇, X₄: 20 {O(1)}
t₃₈, X₀: 5 {O(1)}
t₃₈, X₁: 20 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: 1 {O(1)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: 5 {O(1)}
t₃₉, X₁: 20 {O(1)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 5 {O(1)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 5 {O(1)}
t₄₀, X₁: 20 {O(1)}
t₄₀, X₂: 0 {O(1)}
t₄₀, X₃: 0 {O(1)}
t₄₀, X₄: X₄ {O(n)}
t₄₁, X₀: 5 {O(1)}
t₄₁, X₁: 20 {O(1)}
t₄₁, X₂: 0 {O(1)}
t₄₁, X₃: 4 {O(1)}
t₄₁, X₄: 0 {O(1)}
t₄₂, X₀: 5 {O(1)}
t₄₂, X₁: 20 {O(1)}
t₄₂, X₂: 0 {O(1)}
t₄₂, X₃: 0 {O(1)}
t₄₂, X₄: 20 {O(1)}
t₄₃, X₀: 5 {O(1)}
t₄₃, X₁: 20 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: 5 {O(1)}
t₄₃, X₄: 20 {O(1)}
t₄₄, X₀: 5 {O(1)}
t₄₄, X₁: 20 {O(1)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 4 {O(1)}
t₄₄, X₄: 20 {O(1)}
t₄₅, X₀: 5 {O(1)}
t₄₅, X₁: 20 {O(1)}
t₄₅, X₂: 0 {O(1)}
t₄₅, X₃: 0 {O(1)}
t₄₅, X₄: 20 {O(1)}
t₄₆, X₀: 5 {O(1)}
t₄₆, X₁: 20 {O(1)}
t₄₆, X₂: 0 {O(1)}
t₄₆, X₃: 20 {O(1)}
t₄₆, X₄: 20 {O(1)}
t₄₇, X₀: 5 {O(1)}
t₄₇, X₁: 20 {O(1)}
t₄₇, X₂: 0 {O(1)}
t₄₇, X₃: 19 {O(1)}
t₄₇, X₄: 40 {O(1)}