Initial Problem
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: f0, f37, f45, f48, f59, f65, f69
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f37(5, 9, 0, 0, X₄, X₅, X₆)
t₁: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f37(X₀, X₁, X₂, 1+X₂, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f37(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₂
t₃: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f37(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃
t₁₃: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f45(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₄: f45(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f48(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 1+X₃ ≤ X₀
t₁₂: f45(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f59(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₁: f48(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f45(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₅: f48(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f48(X₀, X₁, X₂, X₃, 1+X₄, H, I) :|: 1+X₄ ≤ X₁
t₇: f59(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f59(X₀, X₁, X₂, 1+X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₆: f59(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f65(X₀, X₁, X₂, X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₁₀: f59(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f69(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₁ ≤ X₃
t₉: f69(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₈: f69(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f69(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀
Preprocessing
Cut unsatisfiable transition [t₂: f37→f37]
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 ∧ 9 ≤ X₁+X₄ ∧ X₁ ≤ 9+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 5+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 9 ≤ X₁+X₃ ∧ X₁ ≤ 9+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 9+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 9 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 9 ≤ X₁+X₂ ∧ X₁ ≤ 9+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 9 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 14 ∧ 9 ≤ X₁ ∧ 14 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f48
Found invariant X₃ ≤ 8 ∧ X₃ ≤ 8+X₂ ∧ X₂+X₃ ≤ 8 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 17 ∧ X₃ ≤ 3+X₀ ∧ X₀+X₃ ≤ 13 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 9 ≤ X₁+X₃ ∧ X₁ ≤ 9+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 9+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 9 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 9 ≤ X₁+X₂ ∧ X₁ ≤ 9+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 9 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 14 ∧ 9 ≤ X₁ ∧ 14 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f65
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 14 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 9 ≤ X₁+X₃ ∧ X₁ ≤ 9+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 9+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 9 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 9 ≤ X₁+X₂ ∧ X₁ ≤ 9+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 9 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 14 ∧ 9 ≤ X₁ ∧ 14 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f69
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 14 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 9 ≤ X₁+X₃ ∧ X₁ ≤ 9+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 9+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 9 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 9 ≤ X₁+X₂ ∧ X₁ ≤ 9+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 9 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 14 ∧ 9 ≤ X₁ ∧ 14 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f45
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 14 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 9 ≤ X₁+X₃ ∧ X₁ ≤ 9+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 9+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 9 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 9 ≤ X₁+X₂ ∧ X₁ ≤ 9+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 9 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 14 ∧ 9 ≤ X₁ ∧ 14 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f37
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 9 ≤ X₁+X₃ ∧ X₁ ≤ 9+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 9+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 9 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 9 ≤ X₁+X₂ ∧ X₁ ≤ 9+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 9 ∧ X₁ ≤ 4+X₀ ∧ X₀+X₁ ≤ 14 ∧ 9 ≤ X₁ ∧ 14 ≤ X₀+X₁ ∧ 4+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f59
Problem after Preprocessing
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: f0, f37, f45, f48, f59, f65, f69
Transitions:
t₃₆: f0(X₀, X₁, X₂, X₃, X₄) → f37(5, 9, 0, 0, X₄)
t₃₇: f37(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₃₈: f37(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₃₉: f37(X₀, X₁, X₂, X₃, X₄) → f45(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₀: f45(X₀, X₁, X₂, X₃, X₄) → f48(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₁: f45(X₀, X₁, X₂, X₃, X₄) → f59(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₂: f48(X₀, X₁, X₂, X₃, X₄) → f45(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₃: f48(X₀, X₁, X₂, X₃, X₄) → f48(X₀, X₁, X₂, X₃, 1+X₄) :|: 1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₄: f59(X₀, X₁, X₂, X₃, X₄) → f59(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 14 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₅: f59(X₀, X₁, X₂, X₃, X₄) → f65(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 14 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₆: f59(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, 0, X₄) :|: X₁ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₇: f69(X₀, X₁, X₂, X₃, X₄) → f65(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₈: f69(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ 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: f37(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
MPRF for transition t₃₈: f37(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f37: [1+X₀-X₃]
MPRF for transition t₄₀: f45(X₀, X₁, X₂, X₃, X₄) → f48(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
11 {O(1)}
MPRF:
• f45: [11-X₃]
• f48: [10-X₃]
MPRF for transition t₄₂: f48(X₀, X₁, X₂, X₃, X₄) → f45(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ 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:
13 {O(1)}
MPRF:
• f45: [X₁-4-X₃]
• f48: [5-X₃]
TWN: t₄₃: f48→f48
cycle: [t₄₃: f48→f48]
original loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ 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 ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ 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 ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ 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 ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ 1 ∧ X₁ ≤ 1+X₄ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₁ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ 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 ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 2+X₄ ≤ X₁ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ 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 ≤ 14 ∧ X₁+X₃ ≤ 13 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₁ ≤ 9+X₄ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₁ ≤ 4+X₀ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5+X₃ ≤ X₁ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 9 ≤ X₁+X₄ ∧ 14 ≤ 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: f48->f48] of 2⋅X₁+2⋅X₄+4 {O(n)}
relevant size-bounds w.r.t. t₄₀: f45→f48:
X₁: 9 {O(1)}
X₄: 0 {O(1)}
Runtime-bound of t₄₀: 11 {O(1)}
Results in: 242 {O(1)}
MPRF for transition t₄₄: f59(X₀, X₁, X₂, X₃, X₄) → f59(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 14 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
9 {O(1)}
MPRF:
• f59: [X₁-X₃]
MPRF for transition t₄₈: f69(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 14 ∧ X₁+X₃ ≤ 14 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 9 ∧ X₁ ≤ 9+X₂ ∧ X₁+X₂ ≤ 9 ∧ X₁ ≤ 9+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 4+X₀ ∧ 4+X₀ ≤ X₁ ∧ 4+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 9 ≤ X₁ ∧ 9 ≤ X₁+X₂ ∧ 9+X₂ ≤ X₁ ∧ 9 ≤ X₁+X₃ ∧ 14 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f69: [1+X₀-X₃]
All Bounds
Timebounds
Overall timebound:294 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 6 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 11 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 13 {O(1)}
t₄₃: 242 {O(1)}
t₄₄: 9 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
Costbounds
Overall costbound: 294 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 6 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 11 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 13 {O(1)}
t₄₃: 242 {O(1)}
t₄₄: 9 {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: 9 {O(1)}
t₃₆, X₂: 0 {O(1)}
t₃₆, X₃: 0 {O(1)}
t₃₆, X₄: X₄ {O(n)}
t₃₇, X₀: 5 {O(1)}
t₃₇, X₁: 9 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 1 {O(1)}
t₃₇, X₄: X₄ {O(n)}
t₃₈, X₀: 5 {O(1)}
t₃₈, X₁: 9 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: 5 {O(1)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: 5 {O(1)}
t₃₉, X₁: 9 {O(1)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 0 {O(1)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 5 {O(1)}
t₄₀, X₁: 9 {O(1)}
t₄₀, X₂: 0 {O(1)}
t₄₀, X₃: 4 {O(1)}
t₄₀, X₄: 0 {O(1)}
t₄₁, X₀: 5 {O(1)}
t₄₁, X₁: 9 {O(1)}
t₄₁, X₂: 0 {O(1)}
t₄₁, X₃: 0 {O(1)}
t₄₁, X₄: 9 {O(1)}
t₄₂, X₀: 5 {O(1)}
t₄₂, X₁: 9 {O(1)}
t₄₂, X₂: 0 {O(1)}
t₄₂, X₃: 5 {O(1)}
t₄₂, X₄: 9 {O(1)}
t₄₃, X₀: 5 {O(1)}
t₄₃, X₁: 9 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: 4 {O(1)}
t₄₃, X₄: 9 {O(1)}
t₄₄, X₀: 5 {O(1)}
t₄₄, X₁: 9 {O(1)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 9 {O(1)}
t₄₄, X₄: 9 {O(1)}
t₄₅, X₀: 5 {O(1)}
t₄₅, X₁: 9 {O(1)}
t₄₅, X₂: 0 {O(1)}
t₄₅, X₃: 8 {O(1)}
t₄₅, X₄: 18 {O(1)}
t₄₆, X₀: 5 {O(1)}
t₄₆, X₁: 9 {O(1)}
t₄₆, X₂: 0 {O(1)}
t₄₆, X₃: 0 {O(1)}
t₄₆, X₄: 9 {O(1)}
t₄₇, X₀: 5 {O(1)}
t₄₇, X₁: 9 {O(1)}
t₄₇, X₂: 0 {O(1)}
t₄₇, X₃: 5 {O(1)}
t₄₇, X₄: 9 {O(1)}
t₄₈, X₀: 5 {O(1)}
t₄₈, X₁: 9 {O(1)}
t₄₈, X₂: 0 {O(1)}
t₄₈, X₃: 5 {O(1)}
t₄₈, X₄: 9 {O(1)}