KoAT2 Proof Output

Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: f0, f61, f69, f72, f83, f89, f93
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f61(5, 17, 0, 0, X₄, X₅, X₆)
t₁: f61(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f61(X₀, X₁, X₂, 1+X₂, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: f61(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f61(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₂
t₃: f61(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f61(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃
t₁₃: f61(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f69(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₄: f69(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f72(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 1+X₃ ≤ X₀
t₁₂: f69(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f83(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₁: f72(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f69(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₅: f72(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f72(X₀, X₁, X₂, X₃, 1+X₄, H, I) :|: 1+X₄ ≤ X₁
t₇: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f83(X₀, X₁, X₂, 1+X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₆: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f89(X₀, X₁, X₂, X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₁₀: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f93(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₁ ≤ X₃
t₉: f93(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f89(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₈: f93(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f93(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀

Preprocessing

Cut unsatisfiable transition [t₂: f61→f61]

Eliminate variables [H; I; X₅; X₆] that do not contribute to the problem

Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 12+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 22 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 17 ≤ X₁+X₃ ∧ X₁ ≤ 17+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 17+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 17 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 17 ≤ X₁+X₂ ∧ X₁ ≤ 17+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 22 ∧ 17 ≤ X₁ ∧ 22 ≤ X₀+X₁ ∧ 12+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f69

Found invariant X₃ ≤ 16 ∧ X₃ ≤ 16+X₂ ∧ X₂+X₃ ≤ 16 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 33 ∧ X₃ ≤ 11+X₀ ∧ X₀+X₃ ≤ 21 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 17 ≤ X₁+X₃ ∧ X₁ ≤ 17+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 17+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 17 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 17 ≤ X₁+X₂ ∧ X₁ ≤ 17+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 22 ∧ 17 ≤ X₁ ∧ 22 ≤ X₀+X₁ ∧ 12+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f89

Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 17 ≤ X₁+X₄ ∧ X₁ ≤ 17+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 13+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 21 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 17 ≤ X₁+X₃ ∧ X₁ ≤ 17+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 17+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 17 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 17 ≤ X₁+X₂ ∧ X₁ ≤ 17+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 22 ∧ 17 ≤ X₁ ∧ 22 ≤ X₀+X₁ ∧ 12+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f72

Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 17 ≤ X₁+X₃ ∧ X₁ ≤ 17+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 17+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 17 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 17 ≤ X₁+X₂ ∧ X₁ ≤ 17+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 17 ∧ X₁ ≤ 12+X₀ ∧ X₀+X₁ ≤ 22 ∧ 17 ≤ X₁ ∧ 22 ≤ X₀+X₁ ∧ 12+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f83

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: f0, f61, f69, f72, f83, f89, f93
Transitions:
t₃₆: f0(X₀, X₁, X₂, X₃, X₄) → f61(5, 17, 0, 0, X₄)
t₃₇: f61(X₀, X₁, X₂, X₃, X₄) → f61(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₃₈: f61(X₀, X₁, X₂, X₃, X₄) → f61(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₃₉: f61(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₀: f69(X₀, X₁, X₂, X₃, X₄) → f72(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₁: f69(X₀, X₁, X₂, X₃, X₄) → f83(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₂: f72(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₃: f72(X₀, X₁, X₂, X₃, X₄) → f72(X₀, X₁, X₂, X₃, 1+X₄) :|: 1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₄: f83(X₀, X₁, X₂, X₃, X₄) → f83(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 12+X₀ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₅: f83(X₀, X₁, X₂, X₃, X₄) → f89(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 12+X₀ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₆: f83(X₀, X₁, X₂, X₃, X₄) → f93(X₀, X₁, X₂, 0, X₄) :|: X₁ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 12+X₀ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₇: f93(X₀, X₁, X₂, X₃, X₄) → f89(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₈: f93(X₀, X₁, X₂, X₃, X₄) → f93(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ 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: f61(X₀, X₁, X₂, X₃, X₄) → f61(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃

MPRF for transition t₃₈: f61(X₀, X₁, X₂, X₃, X₄) → f61(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

21 {O(1)}

MPRF:

• f61: [21-4⋅X₃]

MPRF for transition t₄₀: f69(X₀, X₁, X₂, X₃, X₄) → f72(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

40 {O(1)}

MPRF:

• f69: [23-X₁-X₃]
• f72: [22-X₁-X₃]

MPRF for transition t₄₂: f72(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ 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:

29 {O(1)}

MPRF:

• f69: [X₁-12-X₃]
• f72: [5-X₃]

TWN: t₄₃: f72→f72

cycle: [t₄₃: f72→f72]
original loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ 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 ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ 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 ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ 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 ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ 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 ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ 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 ≤ 22 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 17+X₄ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 13+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 17 ≤ X₁+X₄ ∧ 22 ≤ 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: f72->f72] of 2⋅X₁+2⋅X₄+4 {O(n)}

relevant size-bounds w.r.t. t₄₀: f69→f72:
X₁: 17 {O(1)}
X₄: 0 {O(1)}
Runtime-bound of t₄₀: 40 {O(1)}
Results in: 1520 {O(1)}

MPRF for transition t₄₄: f83(X₀, X₁, X₂, X₃, X₄) → f83(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 12+X₀ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

17 {O(1)}

MPRF:

• f83: [X₁-X₃]

MPRF for transition t₄₈: f93(X₀, X₁, X₂, X₃, X₄) → f93(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 22 ∧ X₁+X₃ ≤ 22 ∧ X₁ ≤ 17 ∧ X₁ ≤ 17+X₂ ∧ X₁+X₂ ≤ 17 ∧ X₁ ≤ 17+X₃ ∧ X₁ ≤ 12+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 ∧ 12+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 17 ≤ X₁ ∧ 17 ≤ X₁+X₂ ∧ 17+X₂ ≤ X₁ ∧ 17 ≤ X₁+X₃ ∧ 22 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

6 {O(1)}

MPRF:

• f93: [6-X₃]

All Bounds

Timebounds

Overall timebound:1640 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 21 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 40 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 29 {O(1)}
t₄₃: 1520 {O(1)}
t₄₄: 17 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}

Costbounds

Overall costbound: 1640 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 21 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 40 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 29 {O(1)}
t₄₃: 1520 {O(1)}
t₄₄: 17 {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: 17 {O(1)}
t₃₆, X₂: 0 {O(1)}
t₃₆, X₃: 0 {O(1)}
t₃₆, X₄: X₄ {O(n)}
t₃₇, X₀: 5 {O(1)}
t₃₇, X₁: 17 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 1 {O(1)}
t₃₇, X₄: X₄ {O(n)}
t₃₈, X₀: 5 {O(1)}
t₃₈, X₁: 17 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: 5 {O(1)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: 5 {O(1)}
t₃₉, X₁: 17 {O(1)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 0 {O(1)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 5 {O(1)}
t₄₀, X₁: 17 {O(1)}
t₄₀, X₂: 0 {O(1)}
t₄₀, X₃: 4 {O(1)}
t₄₀, X₄: 0 {O(1)}
t₄₁, X₀: 5 {O(1)}
t₄₁, X₁: 17 {O(1)}
t₄₁, X₂: 0 {O(1)}
t₄₁, X₃: 0 {O(1)}
t₄₁, X₄: 17 {O(1)}
t₄₂, X₀: 5 {O(1)}
t₄₂, X₁: 17 {O(1)}
t₄₂, X₂: 0 {O(1)}
t₄₂, X₃: 5 {O(1)}
t₄₂, X₄: 17 {O(1)}
t₄₃, X₀: 5 {O(1)}
t₄₃, X₁: 17 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: 4 {O(1)}
t₄₃, X₄: 17 {O(1)}
t₄₄, X₀: 5 {O(1)}
t₄₄, X₁: 17 {O(1)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 17 {O(1)}
t₄₄, X₄: 17 {O(1)}
t₄₅, X₀: 5 {O(1)}
t₄₅, X₁: 17 {O(1)}
t₄₅, X₂: 0 {O(1)}
t₄₅, X₃: 16 {O(1)}
t₄₅, X₄: 34 {O(1)}
t₄₆, X₀: 5 {O(1)}
t₄₆, X₁: 17 {O(1)}
t₄₆, X₂: 0 {O(1)}
t₄₆, X₃: 0 {O(1)}
t₄₆, X₄: 17 {O(1)}
t₄₇, X₀: 5 {O(1)}
t₄₇, X₁: 17 {O(1)}
t₄₇, X₂: 0 {O(1)}
t₄₇, X₃: 5 {O(1)}
t₄₇, X₄: 17 {O(1)}
t₄₈, X₀: 5 {O(1)}
t₄₈, X₁: 17 {O(1)}
t₄₈, X₂: 0 {O(1)}
t₄₈, X₃: 5 {O(1)}
t₄₈, X₄: 17 {O(1)}