Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(5, 8, 0, 0, X₄, X₅, X₆)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₂+1, X₄, X₅, X₆) :|: X₃+1 ≤ X₀ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₃+1 ≤ X₀ ∧ X₃+1 ≤ X₂
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₃+1 ≤ X₀ ∧ 1+X₂ ≤ X₃
t₁₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: X₃+1 ≤ X₀
t₁₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄+1, H, I) :|: X₄+1 ≤ X₁
t₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃+1, X₄, H, I) :|: X₃+1 ≤ X₁
t₆: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, H, I) :|: X₃+1 ≤ X₁
t₁₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₁ ≤ X₃
t₉: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₈: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₃+1 ≤ X₀
Preprocessing
Cut unsatisfiable transition t₂: l1→l1
Eliminate variables {H,I,X₅,X₆} that do not contribute to the problem
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l2
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l6
Found invariant X₃ ≤ 7 ∧ X₃ ≤ 7+X₂ ∧ X₂+X₃ ≤ 7 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 15 ∧ X₃ ≤ 2+X₀ ∧ X₀+X₃ ≤ 12 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l5
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l1
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l4
Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 8 ≤ X₁+X₄ ∧ X₁ ≤ 8+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₃₇: l0(X₀, X₁, X₂, X₃, X₄) → l1(5, 8, 0, 0, X₄)
t₃₈: l1(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₂+1, X₄) :|: X₃+1 ≤ X₀ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₃₉: l1(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃+1, X₄) :|: X₃+1 ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₀: l1(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₁: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, 0) :|: X₃+1 ≤ X₀ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₂: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₄: l3(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃+1, X₄) :|: X₁ ≤ X₄ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 8 ≤ X₁+X₄ ∧ X₁ ≤ 8+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₃: l3(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄+1) :|: X₄+1 ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 8 ≤ X₁+X₄ ∧ X₁ ≤ 8+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₆: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃+1, X₄) :|: X₃+1 ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₅: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₃+1 ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₇: l4(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, 0, X₄) :|: X₁ ≤ X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₉: l6(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
t₄₈: l6(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃+1, X₄) :|: X₃+1 ≤ X₀ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
knowledge_propagation leads to new time bound 1 {O(1)} for transition t₃₈: l1(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₂+1, X₄) :|: X₃+1 ≤ X₀ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
MPRF for transition t₃₉: l1(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃+1, X₄) :|: X₃+1 ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ of depth 1:
new bound:
21 {O(1)}
MPRF:
l1 [21-4⋅X₃ ]
MPRF for transition t₄₁: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, 0) :|: X₃+1 ≤ X₀ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ of depth 1:
new bound:
6 {O(1)}
MPRF:
l3 [5-X₃ ]
l2 [6-X₃ ]
MPRF for transition t₄₄: l3(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃+1, X₄) :|: X₁ ≤ X₄ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 8 ≤ X₁+X₄ ∧ X₁ ≤ 8+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ of depth 1:
new bound:
11 {O(1)}
MPRF:
l3 [5-X₃ ]
l2 [X₁-X₃-3 ]
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l2
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l6
Found invariant X₃ ≤ 7 ∧ X₃ ≤ 7+X₂ ∧ X₂+X₃ ≤ 7 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 15 ∧ X₃ ≤ 2+X₀ ∧ X₀+X₃ ≤ 12 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l5
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l1
Found invariant X₃ ≤ 8 ∧ X₃ ≤ 8+X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 16 ∧ X₃ ≤ 3+X₀ ∧ X₀+X₃ ≤ 13 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l4
Found invariant X₄ ≤ 8 ∧ X₄ ≤ 8+X₃ ∧ X₃+X₄ ≤ 12 ∧ X₄ ≤ 8+X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 16 ∧ X₄ ≤ 3+X₀ ∧ X₀+X₄ ≤ 13 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 8 ≤ X₁+X₄ ∧ X₁ ≤ 8+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location l3
Time-Bound by TWN-Loops:
TWN-Loops: t₄₃ 132 {O(1)}
TWN-Loops:
entry: t₄₁: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, 0) :|: X₃+1 ≤ X₀ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀
results in twn-loop: twn:Inv: [0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 8 ≤ X₁+X₄ ∧ X₁ ≤ 8+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 4+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀] , (X₀,X₁,X₂,X₃,X₄) -> (X₀,X₁,X₂,X₃,X₄+1) :|: X₄+1 ≤ X₁
order: [X₀; X₁; X₂; X₃; X₄]
closed-form:
X₀: X₀
X₁: X₁
X₂: X₂
X₃: X₃
X₄: X₄ + [[n != 0]] * n^1
Termination: true
Formula:
1 < 0
∨ X₄+1 < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₄+1 ≤ X₁ ∧ X₁ ≤ X₄+1
Stabilization-Threshold for: X₄+1 ≤ X₁
alphas_abs: X₄+1+X₁
M: 0
N: 1
Bound: 2⋅X₁+2⋅X₄+4 {O(n)}
relevant size-bounds w.r.t. t₄₁:
X₁: 8 {O(1)}
X₄: 0 {O(1)}
Runtime-bound of t₄₁: 6 {O(1)}
Results in: 132 {O(1)}
132 {O(1)}
MPRF for transition t₄₆: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃+1, X₄) :|: X₃+1 ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ of depth 1:
new bound:
8 {O(1)}
MPRF:
l4 [X₁-X₃ ]
MPRF for transition t₄₈: l6(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃+1, X₄) :|: X₃+1 ≤ X₀ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₁+X₃ ∧ X₁ ≤ 8+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 8+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 8 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 8 ≤ X₁+X₂ ∧ X₁ ≤ 8+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 3+X₀ ∧ X₀+X₁ ≤ 13 ∧ 8 ≤ X₁ ∧ 13 ≤ X₀+X₁ ∧ 3+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ of depth 1:
new bound:
6 {O(1)}
MPRF:
l6 [6-X₃ ]
All Bounds
Timebounds
Overall timebound:191 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 21 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 6 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 132 {O(1)}
t₄₄: 11 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 8 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
t₄₉: 1 {O(1)}
Costbounds
Overall costbound: 191 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 21 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 6 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 132 {O(1)}
t₄₄: 11 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 8 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
t₄₉: 1 {O(1)}
Sizebounds
t₃₇, X₀: 5 {O(1)}
t₃₇, X₁: 8 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 0 {O(1)}
t₃₇, X₄: X₄ {O(n)}
t₃₈, X₀: 5 {O(1)}
t₃₈, X₁: 8 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: 1 {O(1)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: 5 {O(1)}
t₃₉, X₁: 8 {O(1)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 5 {O(1)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 5 {O(1)}
t₄₀, X₁: 8 {O(1)}
t₄₀, X₂: 0 {O(1)}
t₄₀, X₃: 0 {O(1)}
t₄₀, X₄: X₄ {O(n)}
t₄₁, X₀: 5 {O(1)}
t₄₁, X₁: 8 {O(1)}
t₄₁, X₂: 0 {O(1)}
t₄₁, X₃: 4 {O(1)}
t₄₁, X₄: 0 {O(1)}
t₄₂, X₀: 5 {O(1)}
t₄₂, X₁: 8 {O(1)}
t₄₂, X₂: 0 {O(1)}
t₄₂, X₃: 0 {O(1)}
t₄₂, X₄: 8 {O(1)}
t₄₃, X₀: 5 {O(1)}
t₄₃, X₁: 8 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: 4 {O(1)}
t₄₃, X₄: 8 {O(1)}
t₄₄, X₀: 5 {O(1)}
t₄₄, X₁: 8 {O(1)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 5 {O(1)}
t₄₄, X₄: 8 {O(1)}
t₄₅, X₀: 5 {O(1)}
t₄₅, X₁: 8 {O(1)}
t₄₅, X₂: 0 {O(1)}
t₄₅, X₃: 7 {O(1)}
t₄₅, X₄: 16 {O(1)}
t₄₆, X₀: 5 {O(1)}
t₄₆, X₁: 8 {O(1)}
t₄₆, X₂: 0 {O(1)}
t₄₆, X₃: 8 {O(1)}
t₄₆, X₄: 8 {O(1)}
t₄₇, X₀: 5 {O(1)}
t₄₇, X₁: 8 {O(1)}
t₄₇, X₂: 0 {O(1)}
t₄₇, X₃: 0 {O(1)}
t₄₇, X₄: 8 {O(1)}
t₄₈, X₀: 5 {O(1)}
t₄₈, X₁: 8 {O(1)}
t₄₈, X₂: 0 {O(1)}
t₄₈, X₃: 5 {O(1)}
t₄₈, X₄: 8 {O(1)}
t₄₉, X₀: 5 {O(1)}
t₄₉, X₁: 8 {O(1)}
t₄₉, X₂: 0 {O(1)}
t₄₉, X₃: 5 {O(1)}
t₄₉, X₄: 8 {O(1)}