Initial Problem
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: f0, f52, f60, f63, f74, f80, f84
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f52(5, 14, 0, 0, X₄, X₅, X₆)
t₁: f52(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f52(X₀, X₁, X₂, 1+X₂, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: f52(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f52(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₂
t₃: f52(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f52(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃
t₁₃: f52(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f60(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₄: f60(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f63(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 1+X₃ ≤ X₀
t₁₂: f60(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f74(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₁: f63(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f60(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₅: f63(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f63(X₀, X₁, X₂, X₃, 1+X₄, H, I) :|: 1+X₄ ≤ X₁
t₇: f74(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f74(X₀, X₁, X₂, 1+X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₆: f74(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f80(X₀, X₁, X₂, X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₁₀: f74(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f84(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₁ ≤ X₃
t₉: f84(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f80(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₈: f84(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f84(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀
Preprocessing
Cut unsatisfiable transition [t₂: f52→f52]
Eliminate variables [H; I; X₅; X₆] that do not contribute to the problem
Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 14 ≤ X₁+X₄ ∧ X₁ ≤ 14+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 10+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 18 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 14 ≤ X₁+X₃ ∧ X₁ ≤ 14+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 14+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 14 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 14 ≤ X₁+X₂ ∧ X₁ ≤ 14+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 14 ∧ X₁ ≤ 9+X₀ ∧ X₀+X₁ ≤ 19 ∧ 14 ≤ X₁ ∧ 19 ≤ X₀+X₁ ∧ 9+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f63
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 14 ≤ X₁+X₃ ∧ X₁ ≤ 14+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 14+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 14 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 14 ≤ X₁+X₂ ∧ X₁ ≤ 14+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 14 ∧ X₁ ≤ 9+X₀ ∧ X₀+X₁ ≤ 19 ∧ 14 ≤ X₁ ∧ 19 ≤ X₀+X₁ ∧ 9+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f74
Found invariant X₃ ≤ 13 ∧ X₃ ≤ 13+X₂ ∧ X₂+X₃ ≤ 13 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 27 ∧ X₃ ≤ 8+X₀ ∧ X₀+X₃ ≤ 18 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 14 ≤ X₁+X₃ ∧ X₁ ≤ 14+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 14+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 14 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 14 ≤ X₁+X₂ ∧ X₁ ≤ 14+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 14 ∧ X₁ ≤ 9+X₀ ∧ X₀+X₁ ≤ 19 ∧ 14 ≤ X₁ ∧ 19 ≤ X₀+X₁ ∧ 9+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f80
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 9+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 19 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 14 ≤ X₁+X₃ ∧ X₁ ≤ 14+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 14+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 14 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 14 ≤ X₁+X₂ ∧ X₁ ≤ 14+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 14 ∧ X₁ ≤ 9+X₀ ∧ X₀+X₁ ≤ 19 ∧ 14 ≤ X₁ ∧ 19 ≤ X₀+X₁ ∧ 9+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f52
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 9+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 19 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 14 ≤ X₁+X₃ ∧ X₁ ≤ 14+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 14+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 14 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 14 ≤ X₁+X₂ ∧ X₁ ≤ 14+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 14 ∧ X₁ ≤ 9+X₀ ∧ X₀+X₁ ≤ 19 ∧ 14 ≤ X₁ ∧ 19 ≤ X₀+X₁ ∧ 9+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f84
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 9+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 19 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 14 ≤ X₁+X₃ ∧ X₁ ≤ 14+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 14+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 14 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 14 ≤ X₁+X₂ ∧ X₁ ≤ 14+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 14 ∧ X₁ ≤ 9+X₀ ∧ X₀+X₁ ≤ 19 ∧ 14 ≤ X₁ ∧ 19 ≤ X₀+X₁ ∧ 9+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f60
Problem after Preprocessing
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: f0, f52, f60, f63, f74, f80, f84
Transitions:
t₃₆: f0(X₀, X₁, X₂, X₃, X₄) → f52(5, 14, 0, 0, X₄)
t₃₇: f52(X₀, X₁, X₂, X₃, X₄) → f52(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₃₈: f52(X₀, X₁, X₂, X₃, X₄) → f52(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₃₉: f52(X₀, X₁, X₂, X₃, X₄) → f60(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₀: f60(X₀, X₁, X₂, X₃, X₄) → f63(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₁: f60(X₀, X₁, X₂, X₃, X₄) → f74(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₂: f63(X₀, X₁, X₂, X₃, X₄) → f60(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₃: f63(X₀, X₁, X₂, X₃, X₄) → f63(X₀, X₁, X₂, X₃, 1+X₄) :|: 1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₄: f74(X₀, X₁, X₂, X₃, X₄) → f74(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 9+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9+X₀ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₅: f74(X₀, X₁, X₂, X₃, X₄) → f80(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 9+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9+X₀ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₆: f74(X₀, X₁, X₂, X₃, X₄) → f84(X₀, X₁, X₂, 0, X₄) :|: X₁ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 9+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9+X₀ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₇: f84(X₀, X₁, X₂, X₃, X₄) → f80(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₈: f84(X₀, X₁, X₂, X₃, X₄) → f84(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
knowledge_propagation leads to new time bound 1 {O(1)} for transition t₃₇: f52(X₀, X₁, X₂, X₃, X₄) → f52(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
MPRF for transition t₃₈: f52(X₀, X₁, X₂, X₃, X₄) → f52(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
21 {O(1)}
MPRF:
• f52: [21-4⋅X₃]
MPRF for transition t₄₀: f60(X₀, X₁, X₂, X₃, X₄) → f63(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
34 {O(1)}
MPRF:
• f60: [20-X₁-X₃]
• f63: [19-X₁-X₃]
MPRF for transition t₄₂: f63(X₀, X₁, X₂, X₃, X₄) → f60(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ 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:
107 {O(1)}
MPRF:
• f60: [4⋅X₁-51-X₃]
• f63: [5-X₃]
TWN: t₄₃: f63→f63
cycle: [t₄₃: f63→f63]
original loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ 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 ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ 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 ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ 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 ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ 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 ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ 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 ≤ 19 ∧ X₁+X₃ ≤ 18 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 14+X₄ ∧ X₁ ≤ 9+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 ∧ 9+X₀ ≤ X₁ ∧ 10+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 14 ≤ X₁+X₄ ∧ 19 ≤ 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 [43: f63->f63] of 2⋅X₁+2⋅X₄+4 {O(n)}
relevant size-bounds w.r.t. t₄₀: f60→f63:
X₁: 14 {O(1)}
X₄: 0 {O(1)}
Runtime-bound of t₄₀: 34 {O(1)}
Results in: 1088 {O(1)}
MPRF for transition t₄₄: f74(X₀, X₁, X₂, X₃, X₄) → f74(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₁ ≤ 9+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9+X₀ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
14 {O(1)}
MPRF:
• f74: [X₁-X₃]
MPRF for transition t₄₈: f84(X₀, X₁, X₂, X₃, X₄) → f84(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 19 ∧ X₁+X₃ ≤ 19 ∧ X₁ ≤ 14 ∧ X₁ ≤ 14+X₂ ∧ X₁+X₂ ≤ 14 ∧ X₁ ≤ 14+X₃ ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9+X₀ ∧ 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 ∧ 9+X₀ ≤ X₁ ∧ 9+X₃ ≤ X₁ ∧ 14 ≤ X₁ ∧ 14 ≤ X₁+X₂ ∧ 14+X₂ ≤ X₁ ∧ 14 ≤ X₁+X₃ ∧ 19 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f84: [6-X₃]
All Bounds
Timebounds
Overall timebound:1277 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 21 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 34 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 107 {O(1)}
t₄₃: 1088 {O(1)}
t₄₄: 14 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
Costbounds
Overall costbound: 1277 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 21 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 34 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 107 {O(1)}
t₄₃: 1088 {O(1)}
t₄₄: 14 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
Sizebounds
t₃₆, X₀: 5 {O(1)}
t₃₆, X₁: 14 {O(1)}
t₃₆, X₂: 0 {O(1)}
t₃₆, X₃: 0 {O(1)}
t₃₆, X₄: X₄ {O(n)}
t₃₇, X₀: 5 {O(1)}
t₃₇, X₁: 14 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 1 {O(1)}
t₃₇, X₄: X₄ {O(n)}
t₃₈, X₀: 5 {O(1)}
t₃₈, X₁: 14 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: 5 {O(1)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: 5 {O(1)}
t₃₉, X₁: 14 {O(1)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 0 {O(1)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 5 {O(1)}
t₄₀, X₁: 14 {O(1)}
t₄₀, X₂: 0 {O(1)}
t₄₀, X₃: 4 {O(1)}
t₄₀, X₄: 0 {O(1)}
t₄₁, X₀: 5 {O(1)}
t₄₁, X₁: 14 {O(1)}
t₄₁, X₂: 0 {O(1)}
t₄₁, X₃: 0 {O(1)}
t₄₁, X₄: 14 {O(1)}
t₄₂, X₀: 5 {O(1)}
t₄₂, X₁: 14 {O(1)}
t₄₂, X₂: 0 {O(1)}
t₄₂, X₃: 5 {O(1)}
t₄₂, X₄: 14 {O(1)}
t₄₃, X₀: 5 {O(1)}
t₄₃, X₁: 14 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: 4 {O(1)}
t₄₃, X₄: 14 {O(1)}
t₄₄, X₀: 5 {O(1)}
t₄₄, X₁: 14 {O(1)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 14 {O(1)}
t₄₄, X₄: 14 {O(1)}
t₄₅, X₀: 5 {O(1)}
t₄₅, X₁: 14 {O(1)}
t₄₅, X₂: 0 {O(1)}
t₄₅, X₃: 13 {O(1)}
t₄₅, X₄: 28 {O(1)}
t₄₆, X₀: 5 {O(1)}
t₄₆, X₁: 14 {O(1)}
t₄₆, X₂: 0 {O(1)}
t₄₆, X₃: 0 {O(1)}
t₄₆, X₄: 14 {O(1)}
t₄₇, X₀: 5 {O(1)}
t₄₇, X₁: 14 {O(1)}
t₄₇, X₂: 0 {O(1)}
t₄₇, X₃: 5 {O(1)}
t₄₇, X₄: 14 {O(1)}
t₄₈, X₀: 5 {O(1)}
t₄₈, X₁: 14 {O(1)}
t₄₈, X₂: 0 {O(1)}
t₄₈, X₃: 5 {O(1)}
t₄₈, X₄: 14 {O(1)}