KoAT2 Proof Output

Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: G
Locations: f0, f16, f25, f30, f5, f7, f9
Transitions:
t₅: f0(X₀, X₁, X₂, X₃, X₄, X₅) → f5(4, 0, X₂, G, 0, X₅)
t₁₉: f16(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 256 ≤ X₂
t₃: f16(X₀, X₁, X₂, X₃, X₄, X₅) → f5(X₀, X₁, X₂, G, X₄, X₅) :|: X₂ ≤ 255
t₂₀: f25(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ 0
t₄: f25(X₀, X₁, X₂, X₃, X₄, X₅) → f5(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂
t₁₈: f5(X₀, X₁, X₂, X₃, X₄, X₅) → f30(1, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 1 ∧ 1 ≤ X₀
t₀: f5(X₀, X₁, X₂, X₃, X₄, X₅) → f7(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 0
t₁: f5(X₀, X₁, X₂, X₃, X₄, X₅) → f7(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀
t₂: f7(X₀, X₁, X₂, X₃, X₄, X₅) → f9(X₀, 0, X₂, X₃, X₄, X₅) :|: 0 ≤ X₁ ∧ X₁ ≤ 0
t₆: f7(X₀, X₁, X₂, X₃, X₄, X₅) → f9(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1+X₁ ≤ 0
t₇: f7(X₀, X₁, X₂, X₃, X₄, X₅) → f9(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁
t₈: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ X₄ ≤ 0
t₉: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ 2 ≤ X₄
t₁₀: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1+X₁ ≤ 0 ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄
t₁₁: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1 ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄
t₁₂: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀-1, 1, X₀+X₂-1, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0
t₁₃: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 1 ∧ 1+X₃ ≤ X₅
t₁₄: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: 1+X₃ ≤ X₅ ∧ 3 ≤ X₄
t₁₅: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1+X₁ ≤ 0 ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄
t₁₆: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄
t₁₇: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀-1, 1, 1+X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0
t₂₁: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₃) :|: X₅ ≤ X₃ ∧ X₃ ≤ X₅

Preprocessing

Found invariant X₄ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 6 ∧ 0 ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 4+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 1 ≤ X₀ for location f30

Found invariant 1+X₅ ≤ X₃ ∧ X₄ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 6 ∧ 2 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 2+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 1 ≤ X₀ for location f16

Found invariant X₄ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 6 ∧ 0 ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 4+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 1 ≤ X₀ for location f5

Found invariant X₄ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 6 ∧ 0 ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 4+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 1 ≤ X₀ for location f9

Found invariant 1+X₃ ≤ X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 5 ∧ 1 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 1 ≤ X₀ for location f25

Found invariant X₄ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ 0 ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 4+X₄ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 2 ≤ X₀ for location f7

Cut unsatisfiable transition [t₀: f5→f7; t₆: f7→f9; t₁₀: f9→f16; t₁₄: f9→f25; t₁₅: f9→f25]

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: G
Locations: f0, f16, f25, f30, f5, f7, f9
Transitions:
t₅: f0(X₀, X₁, X₂, X₃, X₄, X₅) → f5(4, 0, X₂, G, 0, X₅)
t₁₉: f16(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 256 ≤ X₂ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁
t₃: f16(X₀, X₁, X₂, X₃, X₄, X₅) → f5(X₀, X₁, X₂, G, X₄, X₅) :|: X₂ ≤ 255 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁
t₂₀: f25(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ 0 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ X₄
t₄: f25(X₀, X₁, X₂, X₃, X₄, X₅) → f5(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ X₄
t₁₈: f5(X₀, X₁, X₂, X₃, X₄, X₅) → f30(1, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁: f5(X₀, X₁, X₂, X₃, X₄, X₅) → f7(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₂: f7(X₀, X₁, X₂, X₃, X₄, X₅) → f9(X₀, 0, X₂, X₃, X₄, X₅) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₇: f7(X₀, X₁, X₂, X₃, X₄, X₅) → f9(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₈: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ X₄ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₉: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₁: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1 ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₂: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀-1, 1, X₀+X₂-1, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₃: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 1 ∧ 1+X₃ ≤ X₅ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₆: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₇: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀-1, 1, 1+X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₂₁: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₃) :|: X₅ ≤ X₃ ∧ X₃ ≤ X₅ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄

MPRF for transition t₇: f7(X₀, X₁, X₂, X₃, X₄, X₅) → f9(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

6 {O(1)}

MPRF:

• f16: [2+X₀]
• f25: [2+X₀]
• f5: [2+X₀]
• f7: [2+X₀]
• f9: [2+X₀]

MPRF for transition t₈: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ X₄ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

5 {O(1)}

MPRF:

• f16: [3+X₀-2⋅X₄]
• f25: [1+X₀-X₁-X₄]
• f5: [1+X₀-X₁-X₄]
• f7: [1+X₀-X₁-X₄]
• f9: [1+X₀-X₄]

MPRF for transition t₁₁: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1 ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

6 {O(1)}

MPRF:

• f16: [2+X₀]
• f25: [2+X₀]
• f5: [2+X₀]
• f7: [2+X₀]
• f9: [2+X₀+X₁]

MPRF for transition t₁₂: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f16(X₀-1, 1, X₀+X₂-1, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

10 {O(1)}

MPRF:

• f16: [4+3⋅X₄-X₁]
• f25: [10-X₁]
• f5: [10-X₁]
• f7: [10-X₁]
• f9: [10-X₁]

MPRF for transition t₁₆: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

6 {O(1)}

MPRF:

• f16: [2+X₀]
• f25: [2+X₀]
• f5: [2+X₀]
• f7: [2+X₀]
• f9: [2+X₀+X₁]

MPRF for transition t₁₇: f9(X₀, X₁, X₂, X₃, X₄, X₅) → f25(X₀-1, 1, 1+X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

1 {O(1)}

MPRF:

• f16: [1-X₁]
• f25: [X₄-X₁]
• f5: [1-X₁]
• f7: [1-X₁]
• f9: [1-X₁]

Cut unreachable locations [f16; f25; f9] from the program graph

Cut unsatisfiable transition [t₁₈: f5→f30; t₁₆₃: f5→f30]

Found invariant 1 ≤ 0 for location f25_v7

Found invariant 1+X₃ ≤ X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 1 ∧ 3+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 5 ∧ 1 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f25_v2

Found invariant X₄ ≤ 2 ∧ X₂+X₄ ≤ 257 ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ 2+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ 2 ≤ X₄ ∧ X₂ ≤ 253+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 6 ≤ X₀+X₄ ∧ X₀ ≤ 2+X₄ ∧ X₂ ≤ 255 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 251+X₀ ∧ X₀+X₂ ≤ 259 ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f9_v3

Found invariant X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 1 ∧ 3+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 5 ∧ 1 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 3+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f9_v6

Found invariant 1+X₃ ≤ X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 1 ∧ 3+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 5 ∧ 1 ≤ X₄ ∧ 0 ≤ 3+X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 3+X₄ ∧ 0 ≤ 4+X₂ ∧ 0 ≤ 4+X₁+X₂ ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 8+X₂ ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f25_v6

Found invariant X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₂+X₄ ≤ 255 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 4 ∧ 1 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ X₂ ≤ 253+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 2+X₄ ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 253+X₀ ∧ X₀+X₂ ≤ 255 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location f5_v2

Found invariant 1 ≤ 0 for location f7_v6

Found invariant 1 ≤ 0 for location f5_v5

Found invariant 1+X₅ ≤ X₃ ∧ X₄ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ 2+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ 2 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 6 ≤ X₀+X₄ ∧ X₀ ≤ 2+X₄ ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f16_v2

Found invariant 1 ≤ 0 for location f25_v8

Found invariant X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₂+X₄ ≤ 254 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 2 ∧ 1+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 4 ∧ 1 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ X₂ ≤ 252+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 2+X₄ ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 251+X₀ ∧ X₀+X₂ ≤ 255 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location f7_v3

Found invariant X₄ ≤ 2 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 257 ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 4 ∧ 2 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ X₂ ≤ 253+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 254+X₀ ∧ X₀+X₂ ≤ 257 ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ X₀ for location f9_v5

Found invariant X₄ ≤ 2 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 257 ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 5 ∧ 2 ≤ X₄ ∧ 4 ≤ X₂+X₄ ∧ X₂ ≤ 253+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 253+X₀ ∧ X₀+X₂ ≤ 258 ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location f7_v4

Found invariant X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₂+X₄ ≤ 254 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 3 ∧ 1 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ X₂ ≤ 252+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ X₁+X₂ ≤ 254 ∧ X₂ ≤ 252+X₀ ∧ X₀+X₂ ≤ 254 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 2+X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ X₀ for location f9_v4

Found invariant 1+X₃ ≤ X₅ ∧ X₄ ≤ 1 ∧ X₂+X₄ ≤ 253 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 2 ∧ 2+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 4 ∧ 1 ≤ X₄ ∧ X₂ ≤ 251+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ X₀ ≤ 2+X₄ ∧ X₂ ≤ 252 ∧ X₂ ≤ 251+X₁ ∧ X₁+X₂ ≤ 253 ∧ X₂ ≤ 249+X₀ ∧ X₀+X₂ ≤ 255 ∧ X₁ ≤ 1 ∧ 2+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 3 ≤ X₀ for location f25_v3

Found invariant X₄ ≤ 0 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 0 ∧ 4+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 4 ∧ 0 ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ X₀ ≤ 4+X₄ ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f5

Found invariant X₄ ≤ 0 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 0 ∧ 4+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 4 ∧ 0 ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ X₀ ≤ 4+X₄ ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f7_v1

Found invariant 1+X₃ ≤ X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 255 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 3 ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ 253+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 253+X₀ ∧ X₀+X₂ ≤ 255 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ X₀ for location f25_v5

Found invariant 1 ≤ 0 for location f9_v1

Found invariant 1+X₃ ≤ X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ 3+X₂ ∧ X₂+X₄ ≤ 253 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 3 ∧ 1 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ X₂ ≤ 251+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₂ ≤ 252 ∧ X₂ ≤ 251+X₁ ∧ X₁+X₂ ≤ 253 ∧ X₂ ≤ 251+X₀ ∧ X₀+X₂ ≤ 253 ∧ 0 ≤ 2+X₂ ∧ 0 ≤ 1+X₁+X₂ ∧ X₁ ≤ 3+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 4+X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 3 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 2 ∧ 1 ≤ X₀ for location f25_v4

Found invariant 1+X₅ ≤ X₃ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 5 ∧ 2 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location f16_v1

Found invariant 1 ≤ 0 for location f25_v1

Found invariant 1 ≤ 0 for location f9_v7

Found invariant X₄ ≤ 0 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 0 ∧ 4+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 4 ∧ 0 ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ X₀ ≤ 4+X₄ ∧ X₁ ≤ 0 ∧ 4+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ X₀ ≤ 4+X₁ ∧ X₀ ≤ 4 ∧ 4 ≤ X₀ for location f9_v2

Found invariant X₄ ≤ 2 ∧ X₄ ≤ 1+X₂ ∧ X₂+X₄ ≤ 257 ∧ X₄ ≤ 1+X₁ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 5 ∧ 2 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ X₂ ≤ 253+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₁ ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 254+X₀ ∧ X₀+X₂ ≤ 258 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 4 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location f5_v3

Cut unsatisfiable transition [t₁₆₄: f7_v1→f9_v1; t₁₆₇: f9_v2→f25_v1; t₁₆₉: f9_v2→f16_v1; t₁₇₀: f9_v2→f16_v2; t₁₉₈: f25_v5→f30; t₂₀₈: f25_v1→f5_v5; t₂₀₉: f25_v1→f30; t₂₁₀: f5_v5→f7_v6; t₂₁₁: f5_v5→f30; t₂₁₂: f7_v6→f9_v7; t₂₁₃: f9_v7→f30; t₂₁₄: f9_v7→f25_v7; t₂₁₅: f9_v7→f16_v1; t₂₁₆: f25_v7→f5_v5; t₂₁₇: f25_v7→f30; t₂₁₈: f9_v1→f30; t₂₁₉: f9_v1→f25_v8; t₂₂₀: f9_v1→f25_v8; t₂₂₁: f9_v1→f16_v1; t₂₂₂: f9_v1→f16_v1; t₂₂₃: f25_v8→f5_v5; t₂₂₄: f25_v8→f30]

Cut unreachable locations [f25_v1; f25_v7; f25_v8; f5_v5; f7_v6; f9_v1; f9_v7] from the program graph

Analysing control-flow refined program

MPRF for transition t₁₇₂: f16_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v1(X₀, X₁, X₂, G, X₄, X₅) :|: X₂ ≤ 255 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+260 {O(n)}

MPRF:

• f16_v2: [256-X₂]
• f5_v1: [240+3⋅X₀-X₂]
• f7_v2: [252-X₂]
• f9_v3: [252-X₂]

MPRF for transition t₁₇₄: f5_v1(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v2(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+262 {O(n)}

MPRF:

• f16_v2: [258-X₂]
• f5_v1: [258-X₂]
• f7_v2: [257-X₂]
• f9_v3: [258-X₀-X₂]

MPRF for transition t₁₇₅: f7_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v3(X₀, 0, X₂, X₃, X₄, X₅) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+263 {O(n)}

MPRF:

• f16_v2: [3+64⋅X₀-X₂]
• f5_v1: [64⋅X₀-X₂]
• f7_v2: [256-X₂]
• f9_v3: [255-X₂]

MPRF for transition t₁₇₈: f9_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v2(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

2⋅X₂+522 {O(n)}

MPRF:

• f16_v2: [257⋅X₄-2⋅X₂]
• f5_v1: [511-2⋅X₂]
• f7_v2: [511-2⋅X₂]
• f9_v3: [511-2⋅X₂]

MPRF for transition t₂₀₁: f5_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+5 {O(n)}

MPRF:

• f25_v6: [1+X₂]
• f5_v4: [1+X₂]
• f7_v5: [X₂]
• f9_v6: [X₂]

MPRF for transition t₂₀₂: f7_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v6(X₀, 0, X₂, X₃, X₄, X₅) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+5 {O(n)}

MPRF:

• f25_v6: [1+X₂]
• f5_v4: [1+X₂]
• f7_v5: [1+X₂]
• f9_v6: [X₂-3]

MPRF for transition t₂₀₄: f9_v6(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v6(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 1 ∧ 1+X₃ ≤ X₅ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+5 {O(n)}

MPRF:

• f25_v6: [X₂+X₄]
• f5_v4: [1+X₂]
• f7_v5: [X₂+X₄]
• f9_v6: [1+X₂]

MPRF for transition t₂₀₆: f25_v6(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v4(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀ ≤ 8+X₂ ∧ X₀+X₄ ≤ 5 ∧ X₄ ≤ 5+X₂ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ 4+X₁+X₂ ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 4+X₂ ∧ X₀ ≤ 3+X₄ ∧ 0 ≤ 3+X₂+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ of depth 1:

new bound:

X₂+17 {O(n)}

MPRF:

• f25_v6: [14+X₂]
• f5_v4: [13+X₂]
• f7_v5: [13+X₂]
• f9_v6: [4⋅X₀+X₂-3⋅X₄]

MPRF for transition t₁₈₁: f5_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v3(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₂ ≤ 255 ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂+X₄ ≤ 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₂ ≤ 253+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

16 {O(1)}

MPRF:

• f16_v1: [3⋅X₀]
• f25_v4: [1+2⋅X₀]
• f25_v5: [6⋅X₄]
• f5_v2: [1+2⋅X₀]
• f5_v3: [3⋅X₀]
• f7_v3: [2⋅X₀]
• f7_v4: [3⋅X₀]
• f9_v4: [3⋅X₀]
• f9_v5: [3⋅X₄]

MPRF for transition t₁₈₃: f7_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v4(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ X₀+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₂+906 {O(n)}

MPRF:

• f16_v1: [2⋅X₀+X₂-5]
• f25_v4: [127⋅X₀+X₂-251]
• f25_v5: [3⋅X₀+X₂-3]
• f5_v2: [127⋅X₀+X₂-251]
• f5_v3: [2⋅X₀+X₂-5]
• f7_v3: [3+X₂]
• f7_v4: [2⋅X₀+X₂-5]
• f9_v4: [3+X₂-X₀]
• f9_v5: [2⋅X₀+X₂-3]

MPRF for transition t₁₈₅: f9_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v4(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 1 ∧ 1+X₃ ≤ X₅ ∧ X₂ ≤ 255 ∧ X₀+X₂ ≤ 254 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₀ ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₁ ≤ 3 ∧ X₀+X₄ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₀ ≤ 2+X₂ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

11 {O(1)}

MPRF:

• f16_v1: [3⋅X₁-X₄]
• f25_v4: [X₀+X₁-2]
• f25_v5: [X₀-X₁]
• f5_v2: [X₀+X₁-2]
• f5_v3: [3⋅X₁-X₄]
• f7_v3: [X₀+X₁-2]
• f7_v4: [3-X₄]
• f9_v4: [1+X₀-X₄]
• f9_v5: [X₄-X₁]

MPRF for transition t₁₈₆: f9_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v1(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1 ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ X₂ ≤ 255 ∧ X₀+X₂ ≤ 254 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₀ ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₁ ≤ 3 ∧ X₀+X₄ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₀ ≤ 2+X₂ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

1149 {O(1)}

MPRF:

• f16_v1: [128+127⋅X₀]
• f25_v4: [2⋅X₀+255⋅X₁+X₂]
• f25_v5: [127⋅X₀+255⋅X₁]
• f5_v2: [128⋅X₀+2⋅X₁+X₂-1-X₄]
• f5_v3: [128+127⋅X₀]
• f7_v3: [1+127⋅X₀+2⋅X₁+X₂-X₄]
• f7_v4: [127⋅X₀+128⋅X₁]
• f9_v4: [129+127⋅X₀+X₂]
• f9_v5: [127⋅X₀+255⋅X₁]

MPRF for transition t₁₈₇: f25_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v2(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀+X₂ ≤ 255 ∧ X₀+X₂ ≤ 253 ∧ X₁+X₂ ≤ 253 ∧ X₂+X₄ ≤ 253 ∧ X₂ ≤ 252 ∧ X₂ ≤ 251+X₀ ∧ X₂ ≤ 251+X₁ ∧ X₂ ≤ 251+X₄ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₁ ≤ 3 ∧ X₀ ≤ 3+X₄ ∧ X₀+X₄ ≤ 3 ∧ X₁ ≤ 3+X₂ ∧ X₄ ≤ 3+X₂ ∧ X₀ ≤ 2 ∧ X₁+X₄ ≤ 2 ∧ 0 ≤ 2+X₂ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ 0 ≤ 1+X₁+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ of depth 1:

new bound:

9 {O(1)}

MPRF:

• f16_v1: [X₀]
• f25_v4: [X₀]
• f25_v5: [X₀+X₁]
• f5_v2: [X₀+X₄-1-X₁]
• f5_v3: [X₀]
• f7_v3: [X₀-X₁]
• f7_v4: [X₀]
• f9_v4: [X₀]
• f9_v5: [1+X₀]

MPRF for transition t₁₈₉: f16_v1(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v3(X₀, X₁, X₂, G, X₄, X₅) :|: X₂ ≤ 255 ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

12 {O(1)}

MPRF:

• f16_v1: [1+X₀]
• f25_v4: [2+X₄]
• f25_v5: [1+X₀]
• f5_v2: [X₀+3⋅X₄-2]
• f5_v3: [X₀]
• f7_v3: [3⋅X₄]
• f7_v4: [X₀]
• f9_v4: [3⋅X₄]
• f9_v5: [X₀+X₁]

MPRF for transition t₁₉₁: f5_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v4(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₂ ≤ 258 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

8 {O(1)}

MPRF:

• f16_v1: [1+X₀]
• f25_v4: [4⋅X₄-X₁]
• f25_v5: [X₀+X₁]
• f5_v2: [1+X₀]
• f5_v3: [1+X₀]
• f7_v3: [1+X₀]
• f7_v4: [X₀]
• f9_v4: [4-X₁]
• f9_v5: [X₀+X₁]

MPRF for transition t₁₉₃: f7_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v5(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ X₀+X₂ ≤ 258 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₀ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₀+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

8 {O(1)}

MPRF:

• f16_v1: [X₀-1]
• f25_v4: [1]
• f25_v5: [X₀-X₄]
• f5_v2: [X₀-1]
• f5_v3: [X₀-1]
• f7_v3: [1]
• f7_v4: [X₀-1]
• f9_v4: [1]
• f9_v5: [X₀-1]

MPRF for transition t₁₉₅: f9_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v5(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ X₀+X₂ ≤ 257 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

9 {O(1)}

MPRF:

• f16_v1: [X₀-1]
• f25_v4: [0]
• f25_v5: [0]
• f5_v2: [X₀-2]
• f5_v3: [1+X₀-X₄]
• f7_v3: [X₀-2]
• f7_v4: [1+X₀-X₄]
• f9_v4: [X₀-1]
• f9_v5: [1]

MPRF for transition t₁₉₆: f9_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v1(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ X₀+X₂ ≤ 257 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

5 {O(1)}

MPRF:

• f16_v1: [X₀-1]
• f25_v4: [1]
• f25_v5: [1+X₀-X₁]
• f5_v2: [1]
• f5_v3: [X₀-X₁]
• f7_v3: [1]
• f7_v4: [X₀-X₁]
• f9_v4: [1]
• f9_v5: [1+X₀-X₁]

MPRF for transition t₁₉₇: f25_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v2(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀+X₂ ≤ 255 ∧ X₁+X₂ ≤ 255 ∧ X₂+X₄ ≤ 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₂ ≤ 253+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₀ ≤ 3+X₄ ∧ X₀+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₁+X₄ ≤ 2 ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ of depth 1:

new bound:

2295 {O(1)}

MPRF:

• f16_v1: [255⋅X₀-255]
• f25_v4: [0]
• f25_v5: [1]
• f5_v2: [255⋅X₀-510]
• f5_v3: [255⋅X₀-255]
• f7_v3: [255⋅X₀-510]
• f7_v4: [255⋅X₁]
• f9_v4: [255⋅X₀-255]
• f9_v5: [128⋅X₄-X₁]

knowledge_propagation leads to new time bound 16 {O(1)} for transition t₁₈₃: f7_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v4(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ X₀+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

cfr-program:

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: G
Locations: f0, f16_v1, f16_v2, f25_v2, f25_v3, f25_v4, f25_v5, f25_v6, f30, f5, f5_v1, f5_v2, f5_v3, f5_v4, f7_v1, f7_v2, f7_v3, f7_v4, f7_v5, f9_v2, f9_v3, f9_v4, f9_v5, f9_v6
Transitions:
t₅: f0(X₀, X₁, X₂, X₃, X₄, X₅) → f5(4, 0, X₂, G, 0, X₅)
t₁₉₀: f16_v1(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 256 ≤ X₂ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₄
t₁₈₉: f16_v1(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v3(X₀, X₁, X₂, G, X₄, X₅) :|: X₂ ≤ 255 ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₄
t₁₇₃: f16_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 256 ≤ X₂ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₄
t₁₇₂: f16_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v1(X₀, X₁, X₂, G, X₄, X₅) :|: X₂ ≤ 255 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₁ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₄
t₂₀₀: f25_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ 0 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄
t₁₉₉: f25_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v4(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄
t₁₈₀: f25_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ 0 ∧ X₀+X₂ ≤ 255 ∧ X₁+X₂ ≤ 253 ∧ X₂+X₄ ≤ 253 ∧ X₂ ≤ 252 ∧ X₂ ≤ 251+X₁ ∧ X₂ ≤ 251+X₄ ∧ X₂ ≤ 249+X₀ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₄ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2+X₁ ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 3 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄
t₁₇₉: f25_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v2(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀+X₂ ≤ 255 ∧ X₁+X₂ ≤ 253 ∧ X₂+X₄ ≤ 253 ∧ X₂ ≤ 252 ∧ X₂ ≤ 251+X₁ ∧ X₂ ≤ 251+X₄ ∧ X₂ ≤ 249+X₀ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₄ ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2+X₁ ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 3 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄
t₁₈₈: f25_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ 0 ∧ X₀+X₂ ≤ 255 ∧ X₀+X₂ ≤ 253 ∧ X₁+X₂ ≤ 253 ∧ X₂+X₄ ≤ 253 ∧ X₂ ≤ 252 ∧ X₂ ≤ 251+X₀ ∧ X₂ ≤ 251+X₁ ∧ X₂ ≤ 251+X₄ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₁ ≤ 3 ∧ X₀ ≤ 3+X₄ ∧ X₀+X₄ ≤ 3 ∧ X₁ ≤ 3+X₂ ∧ X₄ ≤ 3+X₂ ∧ X₀ ≤ 2 ∧ X₁+X₄ ≤ 2 ∧ 0 ≤ 2+X₂ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ 0 ≤ 1+X₁+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄
t₁₈₇: f25_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v2(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀+X₂ ≤ 255 ∧ X₀+X₂ ≤ 253 ∧ X₁+X₂ ≤ 253 ∧ X₂+X₄ ≤ 253 ∧ X₂ ≤ 252 ∧ X₂ ≤ 251+X₀ ∧ X₂ ≤ 251+X₁ ∧ X₂ ≤ 251+X₄ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀+X₁ ≤ 3 ∧ X₀ ≤ 3+X₄ ∧ X₀+X₄ ≤ 3 ∧ X₁ ≤ 3+X₂ ∧ X₄ ≤ 3+X₂ ∧ X₀ ≤ 2 ∧ X₁+X₄ ≤ 2 ∧ 0 ≤ 2+X₂ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ 0 ≤ 1+X₁+X₂ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄
t₁₉₇: f25_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v2(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀+X₂ ≤ 255 ∧ X₁+X₂ ≤ 255 ∧ X₂+X₄ ≤ 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₂ ≤ 253+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₀ ≤ 3+X₄ ∧ X₀+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₁+X₄ ≤ 2 ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂
t₂₀₇: f25_v6(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ 0 ∧ X₀ ≤ 8+X₂ ∧ X₀+X₄ ≤ 5 ∧ X₄ ≤ 5+X₂ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ 4+X₁+X₂ ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 4+X₂ ∧ X₀ ≤ 3+X₄ ∧ 0 ≤ 3+X₂+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄
t₂₀₆: f25_v6(X₀, X₁, X₂, X₃, X₄, X₅) → f5_v4(X₀, X₁, X₂, G, X₄, X₅) :|: 0 ≤ X₂ ∧ X₀ ≤ 8+X₂ ∧ X₀+X₄ ≤ 5 ∧ X₄ ≤ 5+X₂ ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ 0 ≤ 4+X₁+X₂ ∧ X₁ ≤ 4+X₂ ∧ 0 ≤ 4+X₂ ∧ X₀ ≤ 3+X₄ ∧ 0 ≤ 3+X₂+X₄ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄
t₁₆₂: f5(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v1(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₄ ∧ 4+X₄ ≤ X₀ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ X₁+X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₇₄: f5_v1(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v2(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₈₂: f5_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f30(1, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ X₀+X₂ ≤ 255 ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂+X₄ ≤ 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₂ ≤ 253+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₈₁: f5_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v3(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₂ ≤ 255 ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂+X₄ ≤ 255 ∧ X₂ ≤ 254 ∧ X₂ ≤ 253+X₀ ∧ X₂ ≤ 253+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₉₂: f5_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f30(1, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ X₀+X₂ ≤ 258 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₉₁: f5_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v4(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₂ ≤ 258 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₂₀₁: f5_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f7_v5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₆₅: f7_v1(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v2(X₀, 0, X₂, X₃, X₄, X₅) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₄ ∧ 4+X₄ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₁+X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₇₅: f7_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v3(X₀, 0, X₂, X₃, X₄, X₅) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₈₃: f7_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v4(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ X₀+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₉₃: f7_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v5(X₀-1, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ X₀+X₂ ≤ 258 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₀ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₁ ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₀+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄
t₂₀₂: f7_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f9_v6(X₀, 0, X₂, X₃, X₄, X₅) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₇₁: f9_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v2(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ X₄ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₄ ∧ 4+X₄ ≤ X₀ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ X₁+X₄ ≤ 0 ∧ 0 ≤ X₄
t₁₆₈: f9_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v2(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 1 ∧ 1+X₃ ≤ X₅ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₄ ∧ 4+X₄ ≤ X₀ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ X₁+X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₆₆: f9_v2(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₃) :|: X₅ ≤ X₃ ∧ X₃ ≤ X₅ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₄ ∧ 4+X₄ ≤ X₀ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ X₁+X₄ ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₇₈: f9_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v2(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₇₇: f9_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v3(X₀-1, 1, 1+X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₇₆: f9_v3(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₃) :|: X₅ ≤ X₃ ∧ X₃ ≤ X₅ ∧ X₀+X₂ ≤ 259 ∧ X₂+X₄ ≤ 257 ∧ X₂ ≤ 255+X₁ ∧ X₁+X₂ ≤ 255 ∧ X₂ ≤ 255 ∧ X₂ ≤ 253+X₄ ∧ X₂ ≤ 251+X₀ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2+X₄ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2+X₁ ≤ X₄ ∧ 2 ≤ X₄ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 6 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄ ∧ 0 ≤ X₄
t₁₈₆: f9_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v1(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1 ≤ X₁ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ X₂ ≤ 255 ∧ X₀+X₂ ≤ 254 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₀ ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₁ ≤ 3 ∧ X₀+X₄ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₀ ≤ 2+X₂ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₈₅: f9_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v4(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 1 ∧ 1+X₃ ≤ X₅ ∧ X₂ ≤ 255 ∧ X₀+X₂ ≤ 254 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₀ ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₁ ≤ 3 ∧ X₀+X₄ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₀ ≤ 2+X₂ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₈₄: f9_v4(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₃) :|: X₅ ≤ X₃ ∧ X₃ ≤ X₅ ∧ X₂ ≤ 255 ∧ X₀+X₂ ≤ 254 ∧ X₁+X₂ ≤ 254 ∧ X₂+X₄ ≤ 254 ∧ X₂ ≤ 253 ∧ X₂ ≤ 252+X₀ ∧ X₂ ≤ 252+X₁ ∧ X₂ ≤ 252+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₁ ≤ 3 ∧ X₀+X₄ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₀ ≤ 2+X₂ ∧ X₄ ≤ 2+X₁ ∧ X₁+X₄ ≤ 2 ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1+X₄ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₀ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₁₉₆: f9_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v1(X₀, X₁, X₀+X₂, X₃, 2, X₅) :|: 1+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ X₀+X₂ ≤ 257 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄
t₁₉₅: f9_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v5(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 2 ∧ 1 ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₄ ∧ X₀+X₂ ≤ 257 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄
t₁₉₄: f9_v5(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₃) :|: X₅ ≤ X₃ ∧ X₃ ≤ X₅ ∧ X₀+X₂ ≤ 257 ∧ X₂+X₄ ≤ 257 ∧ X₁+X₂ ≤ 256 ∧ X₂ ≤ 255 ∧ X₂ ≤ 254+X₀ ∧ X₂ ≤ 254+X₁ ∧ X₂ ≤ 253+X₄ ∧ X₀+X₄ ≤ 6 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₄ ∧ X₀+X₄ ≤ 4 ∧ X₀+X₁ ≤ 3 ∧ X₁+X₄ ≤ 3 ∧ X₀ ≤ 2 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1+X₁ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂ ∧ 2 ≤ X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄
t₂₀₅: f9_v6(X₀, X₁, X₂, X₃, X₄, X₅) → f16_v1(X₀-1, 1, X₀+X₂-1, X₃, 2, X₅) :|: X₄ ≤ 1 ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₂₀₄: f9_v6(X₀, X₁, X₂, X₃, X₄, X₅) → f25_v6(X₀, X₁, X₂-X₀, X₃, 1, X₅) :|: X₄ ≤ 1 ∧ 1+X₃ ≤ X₅ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₂₀₃: f9_v6(X₀, X₁, X₂, X₃, X₄, X₅) → f30(X₀, X₁, X₂, X₃, X₄, X₃) :|: X₅ ≤ X₃ ∧ X₃ ≤ X₅ ∧ X₀+X₄ ≤ 6 ∧ X₀+X₄ ≤ 5 ∧ X₀ ≤ 4 ∧ X₀ ≤ 4+X₁ ∧ X₀+X₁ ≤ 4 ∧ X₀ ≤ 4+X₂ ∧ X₀ ≤ 4+X₄ ∧ X₀ ≤ 3+X₄ ∧ X₁+X₄ ≤ 3 ∧ X₄ ≤ 2+X₁ ∧ X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₄ ≤ 1+X₁ ∧ X₁ ≤ 1 ∧ X₁+X₄ ≤ 1 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₄ ∧ 3+X₄ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₄ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄

All Bounds

Timebounds

Overall timebound:9⋅X₂+4899 {O(n)}
t₅: 1 {O(1)}
t₁₆₂: 1 {O(1)}
t₁₆₅: 1 {O(1)}
t₁₆₆: 1 {O(1)}
t₁₆₈: 1 {O(1)}
t₁₇₁: 1 {O(1)}
t₁₇₂: X₂+260 {O(n)}
t₁₇₃: 1 {O(1)}
t₁₇₄: X₂+262 {O(n)}
t₁₇₅: X₂+263 {O(n)}
t₁₇₆: 1 {O(1)}
t₁₇₇: 1 {O(1)}
t₁₇₈: 2⋅X₂+522 {O(n)}
t₁₇₉: 1 {O(1)}
t₁₈₀: 1 {O(1)}
t₁₈₁: 16 {O(1)}
t₁₈₂: 1 {O(1)}
t₁₈₃: 16 {O(1)}
t₁₈₄: 1 {O(1)}
t₁₈₅: 11 {O(1)}
t₁₈₆: 1149 {O(1)}
t₁₈₇: 9 {O(1)}
t₁₈₈: 1 {O(1)}
t₁₈₉: 12 {O(1)}
t₁₉₀: 1 {O(1)}
t₁₉₁: 8 {O(1)}
t₁₉₂: 1 {O(1)}
t₁₉₃: 8 {O(1)}
t₁₉₄: 1 {O(1)}
t₁₉₅: 9 {O(1)}
t₁₉₆: 5 {O(1)}
t₁₉₇: 2295 {O(1)}
t₁₉₉: 1 {O(1)}
t₂₀₀: 1 {O(1)}
t₂₀₁: X₂+5 {O(n)}
t₂₀₂: X₂+5 {O(n)}
t₂₀₃: 1 {O(1)}
t₂₀₄: X₂+5 {O(n)}
t₂₀₅: 1 {O(1)}
t₂₀₆: X₂+17 {O(n)}
t₂₀₇: 1 {O(1)}

Costbounds

Overall costbound: 9⋅X₂+4899 {O(n)}
t₅: 1 {O(1)}
t₁₆₂: 1 {O(1)}
t₁₆₅: 1 {O(1)}
t₁₆₆: 1 {O(1)}
t₁₆₈: 1 {O(1)}
t₁₇₁: 1 {O(1)}
t₁₇₂: X₂+260 {O(n)}
t₁₇₃: 1 {O(1)}
t₁₇₄: X₂+262 {O(n)}
t₁₇₅: X₂+263 {O(n)}
t₁₇₆: 1 {O(1)}
t₁₇₇: 1 {O(1)}
t₁₇₈: 2⋅X₂+522 {O(n)}
t₁₇₉: 1 {O(1)}
t₁₈₀: 1 {O(1)}
t₁₈₁: 16 {O(1)}
t₁₈₂: 1 {O(1)}
t₁₈₃: 16 {O(1)}
t₁₈₄: 1 {O(1)}
t₁₈₅: 11 {O(1)}
t₁₈₆: 1149 {O(1)}
t₁₈₇: 9 {O(1)}
t₁₈₈: 1 {O(1)}
t₁₈₉: 12 {O(1)}
t₁₉₀: 1 {O(1)}
t₁₉₁: 8 {O(1)}
t₁₉₂: 1 {O(1)}
t₁₉₃: 8 {O(1)}
t₁₉₄: 1 {O(1)}
t₁₉₅: 9 {O(1)}
t₁₉₆: 5 {O(1)}
t₁₉₇: 2295 {O(1)}
t₁₉₉: 1 {O(1)}
t₂₀₀: 1 {O(1)}
t₂₀₁: X₂+5 {O(n)}
t₂₀₂: X₂+5 {O(n)}
t₂₀₃: 1 {O(1)}
t₂₀₄: X₂+5 {O(n)}
t₂₀₅: 1 {O(1)}
t₂₀₆: X₂+17 {O(n)}
t₂₀₇: 1 {O(1)}

Sizebounds

t₅, X₀: 4 {O(1)}
t₅, X₁: 0 {O(1)}
t₅, X₂: X₂ {O(n)}
t₅, X₄: 0 {O(1)}
t₅, X₅: X₅ {O(n)}
t₁₆₂, X₀: 4 {O(1)}
t₁₆₂, X₁: 0 {O(1)}
t₁₆₂, X₂: X₂ {O(n)}
t₁₆₂, X₄: 0 {O(1)}
t₁₆₂, X₅: X₅ {O(n)}
t₁₆₅, X₀: 4 {O(1)}
t₁₆₅, X₁: 0 {O(1)}
t₁₆₅, X₂: X₂ {O(n)}
t₁₆₅, X₄: 0 {O(1)}
t₁₆₅, X₅: X₅ {O(n)}
t₁₆₆, X₀: 4 {O(1)}
t₁₆₆, X₁: 0 {O(1)}
t₁₆₆, X₂: X₂ {O(n)}
t₁₆₆, X₄: 0 {O(1)}
t₁₆₈, X₀: 4 {O(1)}
t₁₆₈, X₁: 0 {O(1)}
t₁₆₈, X₂: X₂+4 {O(n)}
t₁₆₈, X₄: 1 {O(1)}
t₁₆₈, X₅: X₅ {O(n)}
t₁₇₁, X₀: 4 {O(1)}
t₁₇₁, X₁: 0 {O(1)}
t₁₇₁, X₂: X₂+4 {O(n)}
t₁₇₁, X₄: 2 {O(1)}
t₁₇₁, X₅: X₅ {O(n)}
t₁₇₂, X₀: 4 {O(1)}
t₁₇₂, X₁: 0 {O(1)}
t₁₇₂, X₂: 9⋅X₂+2092 {O(n)}
t₁₇₂, X₄: 2 {O(1)}
t₁₇₂, X₅: X₅ {O(n)}
t₁₇₃, X₀: 4 {O(1)}
t₁₇₃, X₁: 0 {O(1)}
t₁₇₃, X₂: 10⋅X₂+2096 {O(n)}
t₁₇₃, X₄: 2 {O(1)}
t₁₇₃, X₅: 2⋅X₅ {O(n)}
t₁₇₄, X₀: 4 {O(1)}
t₁₇₄, X₁: 0 {O(1)}
t₁₇₄, X₂: 9⋅X₂+2092 {O(n)}
t₁₇₄, X₄: 2 {O(1)}
t₁₇₄, X₅: X₅ {O(n)}
t₁₇₅, X₀: 4 {O(1)}
t₁₇₅, X₁: 0 {O(1)}
t₁₇₅, X₂: 9⋅X₂+2092 {O(n)}
t₁₇₅, X₄: 2 {O(1)}
t₁₇₅, X₅: X₅ {O(n)}
t₁₇₆, X₀: 4 {O(1)}
t₁₇₆, X₁: 0 {O(1)}
t₁₇₆, X₂: 9⋅X₂+2092 {O(n)}
t₁₇₆, X₄: 2 {O(1)}
t₁₇₇, X₀: 3 {O(1)}
t₁₇₇, X₁: 1 {O(1)}
t₁₇₇, X₂: 9⋅X₂+2095 {O(n)}
t₁₇₇, X₄: 1 {O(1)}
t₁₇₇, X₅: X₅ {O(n)}
t₁₇₈, X₀: 4 {O(1)}
t₁₇₈, X₁: 0 {O(1)}
t₁₇₈, X₂: 9⋅X₂+2092 {O(n)}
t₁₇₈, X₄: 2 {O(1)}
t₁₇₈, X₅: X₅ {O(n)}
t₁₇₉, X₀: 3 {O(1)}
t₁₇₉, X₁: 1 {O(1)}
t₁₇₉, X₂: 252 {O(1)}
t₁₇₉, X₄: 1 {O(1)}
t₁₇₉, X₅: X₅ {O(n)}
t₁₈₀, X₀: 3 {O(1)}
t₁₈₀, X₁: 1 {O(1)}
t₁₈₀, X₂: 9⋅X₂+2095 {O(n)}
t₁₈₀, X₄: 1 {O(1)}
t₁₈₀, X₅: X₅ {O(n)}
t₁₈₁, X₀: 3 {O(1)}
t₁₈₁, X₁: 1 {O(1)}
t₁₈₁, X₂: 253 {O(1)}
t₁₈₁, X₄: 1 {O(1)}
t₁₈₁, X₅: 2⋅X₅ {O(n)}
t₁₈₂, X₀: 1 {O(1)}
t₁₈₂, X₁: 1 {O(1)}
t₁₈₂, X₂: 254 {O(1)}
t₁₈₂, X₄: 1 {O(1)}
t₁₈₂, X₅: 4⋅X₅ {O(n)}
t₁₈₃, X₀: 2 {O(1)}
t₁₈₃, X₁: 1 {O(1)}
t₁₈₃, X₂: 253 {O(1)}
t₁₈₃, X₄: 1 {O(1)}
t₁₈₃, X₅: 2⋅X₅ {O(n)}
t₁₈₄, X₀: 2 {O(1)}
t₁₈₄, X₁: 1 {O(1)}
t₁₈₄, X₂: 253 {O(1)}
t₁₈₄, X₄: 1 {O(1)}
t₁₈₅, X₀: 2 {O(1)}
t₁₈₅, X₁: 1 {O(1)}
t₁₈₅, X₂: 252 {O(1)}
t₁₈₅, X₄: 1 {O(1)}
t₁₈₅, X₅: 2⋅X₅ {O(n)}
t₁₈₆, X₀: 2 {O(1)}
t₁₈₆, X₁: 1 {O(1)}
t₁₈₆, X₂: 254 {O(1)}
t₁₈₆, X₄: 2 {O(1)}
t₁₈₆, X₅: 2⋅X₅ {O(n)}
t₁₈₇, X₀: 2 {O(1)}
t₁₈₇, X₁: 1 {O(1)}
t₁₈₇, X₂: 252 {O(1)}
t₁₈₇, X₄: 1 {O(1)}
t₁₈₇, X₅: 2⋅X₅ {O(n)}
t₁₈₈, X₀: 2 {O(1)}
t₁₈₈, X₁: 1 {O(1)}
t₁₈₈, X₂: 2 {O(1)}
t₁₈₈, X₄: 1 {O(1)}
t₁₈₈, X₅: 2⋅X₅ {O(n)}
t₁₈₉, X₀: 3 {O(1)}
t₁₈₉, X₁: 1 {O(1)}
t₁₈₉, X₂: 255 {O(1)}
t₁₈₉, X₄: 2 {O(1)}
t₁₈₉, X₅: 2⋅X₅ {O(n)}
t₁₉₀, X₀: 3 {O(1)}
t₁₉₀, X₁: 1 {O(1)}
t₁₉₀, X₂: X₂+268 {O(n)}
t₁₉₀, X₄: 2 {O(1)}
t₁₉₀, X₅: 3⋅X₅ {O(n)}
t₁₉₁, X₀: 3 {O(1)}
t₁₉₁, X₁: 1 {O(1)}
t₁₉₁, X₂: 255 {O(1)}
t₁₉₁, X₄: 2 {O(1)}
t₁₉₁, X₅: 2⋅X₅ {O(n)}
t₁₉₂, X₀: 1 {O(1)}
t₁₉₂, X₁: 1 {O(1)}
t₁₉₂, X₂: 255 {O(1)}
t₁₉₂, X₄: 2 {O(1)}
t₁₉₂, X₅: 2⋅X₅ {O(n)}
t₁₉₃, X₀: 2 {O(1)}
t₁₉₃, X₁: 1 {O(1)}
t₁₉₃, X₂: 255 {O(1)}
t₁₉₃, X₄: 2 {O(1)}
t₁₉₃, X₅: 2⋅X₅ {O(n)}
t₁₉₄, X₀: 2 {O(1)}
t₁₉₄, X₁: 1 {O(1)}
t₁₉₄, X₂: 255 {O(1)}
t₁₉₄, X₄: 2 {O(1)}
t₁₉₅, X₀: 2 {O(1)}
t₁₉₅, X₁: 1 {O(1)}
t₁₉₅, X₂: 254 {O(1)}
t₁₉₅, X₄: 1 {O(1)}
t₁₉₅, X₅: 2⋅X₅ {O(n)}
t₁₉₆, X₀: 2 {O(1)}
t₁₉₆, X₁: 1 {O(1)}
t₁₉₆, X₂: 257 {O(1)}
t₁₉₆, X₄: 2 {O(1)}
t₁₉₆, X₅: 2⋅X₅ {O(n)}
t₁₉₇, X₀: 2 {O(1)}
t₁₉₇, X₁: 1 {O(1)}
t₁₉₇, X₂: 254 {O(1)}
t₁₉₇, X₄: 1 {O(1)}
t₁₉₇, X₅: 2⋅X₅ {O(n)}
t₁₉₉, X₀: 4 {O(1)}
t₁₉₉, X₁: 0 {O(1)}
t₁₉₉, X₂: X₂+4 {O(n)}
t₁₉₉, X₄: 1 {O(1)}
t₁₉₉, X₅: X₅ {O(n)}
t₂₀₀, X₀: 4 {O(1)}
t₂₀₀, X₁: 0 {O(1)}
t₂₀₀, X₂: X₂+4 {O(n)}
t₂₀₀, X₄: 1 {O(1)}
t₂₀₀, X₅: X₅ {O(n)}
t₂₀₁, X₀: 4 {O(1)}
t₂₀₁, X₁: 0 {O(1)}
t₂₀₁, X₂: X₂+8 {O(n)}
t₂₀₁, X₄: 1 {O(1)}
t₂₀₁, X₅: X₅ {O(n)}
t₂₀₂, X₀: 4 {O(1)}
t₂₀₂, X₁: 0 {O(1)}
t₂₀₂, X₂: X₂+8 {O(n)}
t₂₀₂, X₄: 1 {O(1)}
t₂₀₂, X₅: X₅ {O(n)}
t₂₀₃, X₀: 4 {O(1)}
t₂₀₃, X₁: 0 {O(1)}
t₂₀₃, X₂: X₂+8 {O(n)}
t₂₀₃, X₄: 1 {O(1)}
t₂₀₄, X₀: 4 {O(1)}
t₂₀₄, X₁: 0 {O(1)}
t₂₀₄, X₂: X₂+8 {O(n)}
t₂₀₄, X₄: 1 {O(1)}
t₂₀₄, X₅: X₅ {O(n)}
t₂₀₅, X₀: 3 {O(1)}
t₂₀₅, X₁: 1 {O(1)}
t₂₀₅, X₂: X₂+11 {O(n)}
t₂₀₅, X₄: 2 {O(1)}
t₂₀₅, X₅: X₅ {O(n)}
t₂₀₆, X₀: 4 {O(1)}
t₂₀₆, X₁: 0 {O(1)}
t₂₀₆, X₂: X₂+8 {O(n)}
t₂₀₆, X₄: 1 {O(1)}
t₂₀₆, X₅: X₅ {O(n)}
t₂₀₇, X₀: 4 {O(1)}
t₂₀₇, X₁: 0 {O(1)}
t₂₀₇, X₂: 4 {O(1)}
t₂₀₇, X₄: 1 {O(1)}
t₂₀₇, X₅: X₅ {O(n)}