Initial Problem
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: f0, f31, f39, f42, f53, f59, f63
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f31(5, 7, 0, 0, X₄, X₅, X₆)
t₁: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f31(X₀, X₁, X₂, 1+X₂, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f31(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₂
t₃: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f31(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃
t₁₃: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f39(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₄: f39(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f42(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 1+X₃ ≤ X₀
t₁₂: f39(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f53(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₁: f42(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f39(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₅: f42(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f42(X₀, X₁, X₂, X₃, 1+X₄, H, I) :|: 1+X₄ ≤ X₁
t₇: f53(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f53(X₀, X₁, X₂, 1+X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₆: f53(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f59(X₀, X₁, X₂, X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₁₀: f53(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f63(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₁ ≤ X₃
t₉: f63(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f59(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₈: f63(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f63(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀
Preprocessing
Cut unsatisfiable transition [t₂: f31→f31]
Eliminate variables [H; I; X₅; X₆] that do not contribute to the problem
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 2+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 7 ≤ X₁+X₃ ∧ X₁ ≤ 7+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 7+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 7 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 7 ≤ X₁+X₂ ∧ X₁ ≤ 7+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 7 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 12 ∧ 7 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 2+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f63
Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 7 ≤ X₁+X₄ ∧ X₁ ≤ 7+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 3+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 11 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 7 ≤ X₁+X₃ ∧ X₁ ≤ 7+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 7+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 7 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 7 ≤ X₁+X₂ ∧ X₁ ≤ 7+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 7 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 12 ∧ 7 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 2+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f42
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 2+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 7 ≤ X₁+X₃ ∧ X₁ ≤ 7+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 7+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 7 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 7 ≤ X₁+X₂ ∧ X₁ ≤ 7+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 7 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 12 ∧ 7 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 2+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f31
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 7 ≤ X₁+X₃ ∧ X₁ ≤ 7+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 7+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 7 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 7 ≤ X₁+X₂ ∧ X₁ ≤ 7+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 7 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 12 ∧ 7 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 2+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f53
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 2+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 12 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 7 ≤ X₁+X₃ ∧ X₁ ≤ 7+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 7+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 7 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 7 ≤ X₁+X₂ ∧ X₁ ≤ 7+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 7 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 12 ∧ 7 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 2+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f39
Found invariant X₃ ≤ 6 ∧ X₃ ≤ 6+X₂ ∧ X₂+X₃ ≤ 6 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 13 ∧ X₃ ≤ 1+X₀ ∧ X₀+X₃ ≤ 11 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 7 ≤ X₁+X₃ ∧ X₁ ≤ 7+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 7+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 7 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 7 ≤ X₁+X₂ ∧ X₁ ≤ 7+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 7 ∧ X₁ ≤ 2+X₀ ∧ X₀+X₁ ≤ 12 ∧ 7 ≤ X₁ ∧ 12 ≤ X₀+X₁ ∧ 2+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, f31, f39, f42, f53, f59, f63
Transitions:
t₃₆: f0(X₀, X₁, X₂, X₃, X₄) → f31(5, 7, 0, 0, X₄)
t₃₇: f31(X₀, X₁, X₂, X₃, X₄) → f31(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₃₈: f31(X₀, X₁, X₂, X₃, X₄) → f31(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₃₉: f31(X₀, X₁, X₂, X₃, X₄) → f39(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₀: f39(X₀, X₁, X₂, X₃, X₄) → f42(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₁: f39(X₀, X₁, X₂, X₃, X₄) → f53(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₂: f42(X₀, X₁, X₂, X₃, X₄) → f39(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₃: f42(X₀, X₁, X₂, X₃, X₄) → f42(X₀, X₁, X₂, X₃, 1+X₄) :|: 1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₄: f53(X₀, X₁, X₂, X₃, X₄) → f53(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 12 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₅: f53(X₀, X₁, X₂, X₃, X₄) → f59(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 12 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₆: f53(X₀, X₁, X₂, X₃, X₄) → f63(X₀, X₁, X₂, 0, X₄) :|: X₁ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₇: f63(X₀, X₁, X₂, X₃, X₄) → f59(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₈: f63(X₀, X₁, X₂, X₃, X₄) → f63(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ 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: f31(X₀, X₁, X₂, X₃, X₄) → f31(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
MPRF for transition t₃₈: f31(X₀, X₁, X₂, X₃, X₄) → f31(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f31: [1+X₀-X₃]
MPRF for transition t₄₀: f39(X₀, X₁, X₂, X₃, X₄) → f42(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
11 {O(1)}
MPRF:
• f39: [11-X₃]
• f42: [45+5⋅X₂-5⋅X₁-X₃]
MPRF for transition t₄₂: f42(X₀, X₁, X₂, X₃, X₄) → f39(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ 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:
37 {O(1)}
MPRF:
• f39: [3⋅X₁-16-X₃]
• f42: [5-X₃]
TWN: t₄₃: f42→f42
cycle: [t₄₃: f42→f42]
original loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ 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 ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ 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 ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ 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 ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 0 ≤ 1 ∧ X₁ ≤ 1+X₄ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₁ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ 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 ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₄ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ 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 ≤ 12 ∧ X₁+X₃ ≤ 11 ∧ X₀+X₃ ≤ 9 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₁ ≤ 7+X₄ ∧ 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 ∧ X₁ ≤ 2+X₀ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 2+X₀ ≤ X₁ ∧ 3+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 7 ≤ X₁+X₄ ∧ 12 ≤ 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: f42->f42] of 2⋅X₁+2⋅X₄+4 {O(n)}
relevant size-bounds w.r.t. t₄₀: f39→f42:
X₁: 7 {O(1)}
X₄: 0 {O(1)}
Runtime-bound of t₄₀: 11 {O(1)}
Results in: 198 {O(1)}
MPRF for transition t₄₄: f53(X₀, X₁, X₂, X₃, X₄) → f53(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 12 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
7 {O(1)}
MPRF:
• f53: [X₁-X₃]
MPRF for transition t₄₈: f63(X₀, X₁, X₂, X₃, X₄) → f63(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 12 ∧ X₁+X₃ ≤ 12 ∧ X₀+X₃ ≤ 10 ∧ X₁ ≤ 7 ∧ X₁ ≤ 7+X₂ ∧ X₁+X₂ ≤ 7 ∧ X₁ ≤ 7+X₃ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ X₁ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₃ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 7 ≤ X₁ ∧ 7 ≤ X₁+X₂ ∧ 7+X₂ ≤ X₁ ∧ 7 ≤ X₁+X₃ ∧ 12 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f63: [1+X₀-X₃]
All Bounds
Timebounds
Overall timebound:272 {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: 37 {O(1)}
t₄₃: 198 {O(1)}
t₄₄: 7 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
Costbounds
Overall costbound: 272 {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: 37 {O(1)}
t₄₃: 198 {O(1)}
t₄₄: 7 {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: 7 {O(1)}
t₃₆, X₂: 0 {O(1)}
t₃₆, X₃: 0 {O(1)}
t₃₆, X₄: X₄ {O(n)}
t₃₇, X₀: 5 {O(1)}
t₃₇, X₁: 7 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 1 {O(1)}
t₃₇, X₄: X₄ {O(n)}
t₃₈, X₀: 5 {O(1)}
t₃₈, X₁: 7 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: 5 {O(1)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: 5 {O(1)}
t₃₉, X₁: 7 {O(1)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 0 {O(1)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 5 {O(1)}
t₄₀, X₁: 7 {O(1)}
t₄₀, X₂: 0 {O(1)}
t₄₀, X₃: 4 {O(1)}
t₄₀, X₄: 0 {O(1)}
t₄₁, X₀: 5 {O(1)}
t₄₁, X₁: 7 {O(1)}
t₄₁, X₂: 0 {O(1)}
t₄₁, X₃: 0 {O(1)}
t₄₁, X₄: 7 {O(1)}
t₄₂, X₀: 5 {O(1)}
t₄₂, X₁: 7 {O(1)}
t₄₂, X₂: 0 {O(1)}
t₄₂, X₃: 5 {O(1)}
t₄₂, X₄: 7 {O(1)}
t₄₃, X₀: 5 {O(1)}
t₄₃, X₁: 7 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: 4 {O(1)}
t₄₃, X₄: 7 {O(1)}
t₄₄, X₀: 5 {O(1)}
t₄₄, X₁: 7 {O(1)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 7 {O(1)}
t₄₄, X₄: 7 {O(1)}
t₄₅, X₀: 5 {O(1)}
t₄₅, X₁: 7 {O(1)}
t₄₅, X₂: 0 {O(1)}
t₄₅, X₃: 6 {O(1)}
t₄₅, X₄: 14 {O(1)}
t₄₆, X₀: 5 {O(1)}
t₄₆, X₁: 7 {O(1)}
t₄₆, X₂: 0 {O(1)}
t₄₆, X₃: 0 {O(1)}
t₄₆, X₄: 7 {O(1)}
t₄₇, X₀: 5 {O(1)}
t₄₇, X₁: 7 {O(1)}
t₄₇, X₂: 0 {O(1)}
t₄₇, X₃: 5 {O(1)}
t₄₇, X₄: 7 {O(1)}
t₄₈, X₀: 5 {O(1)}
t₄₈, X₁: 7 {O(1)}
t₄₈, X₂: 0 {O(1)}
t₄₈, X₃: 5 {O(1)}
t₄₈, X₄: 7 {O(1)}