KoAT2 Proof Output

Initial Problem

Start: f8
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: K, L, M
Locations: f13, f19, f27, f28, f29, f30, f300, f31, f8, f9
Transitions:
t₂: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f29(L, 0, X₃-2, X₃-1, X₄, X₅, X₆, X₇, X₈, X₉)
t₀: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+K ≤ 0
t₁: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ K
t₅: f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f29(L, 0, X₃-2, X₃-1, X₄, X₅, X₆, X₇, X₈, X₉)
t₃: f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+K ≤ 0
t₄: f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ K
t₇: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(L, 0, X₃-2, X₃-1, 0, X₅, 0, X₇, X₈, X₉) :|: 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₈: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(L, K, X₂-1, X₂-1, 0, X₅, 0, X₇, X₈, X₉) :|: 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₉: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(L, K, X₂-1, X₂-1, 0, X₅, 0, X₇, X₈, X₉) :|: 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₄: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f28(L, 0, X₃-2, X₃-1, 1, X₅, K, X₂, X₃, X₉) :|: 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₅: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f28(L, 0, X₃-2, X₃-1, 1, X₅, K, X₂, X₃, X₉) :|: 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₀: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, M, X₂, X₃, X₉) :|: 1+K ≤ 0 ∧ 1+M ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₁: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, M, X₂, X₃, X₉) :|: 1+K ≤ 0 ∧ 1 ≤ M ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₂: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, M, X₂, X₃, X₉) :|: 1 ≤ K ∧ 1+M ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₃: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, M, X₂, X₃, X₉) :|: 1 ≤ K ∧ 1 ≤ M ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₆: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: X₂ ≤ 0
t₁₇: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: 1 ≤ X₂ ∧ X₃ ≤ 0
t₂₁: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f28(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₂₄: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f28(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₁₉: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₂₀: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₂₂: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₂₃: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₁₈: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f300(X₀, X₁, X₂, X₃, 1, 1, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ X₇+X₈ ≤ X₂+X₃ ∧ X₇ ≤ X₂ ∧ X₈ ≤ X₃
t₂₅: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: X₂ ≤ 0
t₂₆: f28(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: 1 ≤ X₂ ∧ X₃ ≤ 0
t₃₀: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f29(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₃₃: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f29(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₂₇: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f300(X₀, X₁, X₂, X₃, 1, 1, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ X₇+X₈ ≤ X₂+X₃ ∧ X₇ ≤ X₂ ∧ X₈ ≤ X₃
t₂₈: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₂₉: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₃₁: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₃₂: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₃₄: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: X₂ ≤ 0
t₃₅: f29(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: 1 ≤ X₂ ∧ X₃ ≤ 0
t₃₉: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f28(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₄₂: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f28(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₃₇: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₃₈: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₄₀: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₄₁: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₃₆: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f300(X₀, X₁, X₂, X₃, 1, 1, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ X₇+X₈ ≤ X₂+X₃ ∧ X₇ ≤ X₂ ∧ X₈ ≤ X₃
t₄₃: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: X₂ ≤ 0
t₄₇: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f29(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₅₀: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f29(L, 0, X₃-2, X₃-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₄₄: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f300(X₀, X₁, X₂, X₃, 1, 1, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ X₇+X₈ ≤ X₂+X₃ ∧ X₇ ≤ X₂ ∧ X₈ ≤ X₃
t₄₅: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₄₆: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄
t₄₈: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₄₉: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(L, K, X₂-1, X₂-1, 1, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₈ ∧ 1 ≤ X₄ ∧ X₇ ≤ X₂
t₅₁: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, L) :|: X₂ ≤ 0
t₆: f8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(X₀, X₁, X₂, X₃, 0, 0, X₆, X₇, X₈, X₉)

Preprocessing

Cut unreachable locations [f13; f19; f29; f31] from the program graph

Cut unsatisfiable transition [t₂₆: f28→f9]

Eliminate variables [L; X₀; X₁; X₅; X₆; X₉] that do not contribute to the problem

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 2+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ 1+X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location f28

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location f30

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location f27

Found invariant X₄ ≤ X₁ ∧ X₄ ≤ 1+X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location f300

Found invariant X₂ ≤ 1 ∧ 0 ≤ X₂ for location f9

Cut unsatisfiable transition [t₁₀₄: f28→f300; t₁₁₂: f30→f300]

Cut unreachable locations [f300] from the program graph

Problem after Preprocessing

Start: f8
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: K, M
Locations: f27, f28, f30, f8, f9
Transitions:
t₈₇: f27(X₀, X₁, X₂, X₃, X₄) → f27(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₈₈: f27(X₀, X₁, X₂, X₃, X₄) → f27(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₈₉: f27(X₀, X₁, X₂, X₃, X₄) → f27(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₀: f27(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₁: f27(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₂: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₃: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₄: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₅: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₆: f27(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₇: f27(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₈: f28(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₉₉: f28(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₀: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₁: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₂: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₃: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₅: f28(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₆: f30(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₇: f30(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₈: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₉: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₀: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₁: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₃: f30(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₄: f8(X₀, X₁, X₂, X₃, X₄) → f27(X₀, X₁, 0, X₃, X₄)

Found invariant X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location f27_v1

Found invariant X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ 1+X₀+X₂ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ 1+X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location f27_v2

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location f27_v3

Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ for location f27

Found invariant X₂ ≤ 1 ∧ 0 ≤ X₂ for location f9

Analysing control-flow refined program

MPRF for transition t₂₄₇: f27_v2(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+3 {O(n)}

MPRF:

• f27_v1: [X₁-1]
• f27_v2: [1+X₀]
• f27_v3: [X₁-3]

MPRF for transition t₂₄₈: f27_v2(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+2 {O(n)}

MPRF:

• f27_v1: [X₁-1]
• f27_v2: [X₁]
• f27_v3: [X₁-3]

MPRF for transition t₂₄₉: f27_v2(X₀, X₁, X₂, X₃, X₄) → f27_v3(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+1 {O(n)}

MPRF:

• f27_v1: [X₁]
• f27_v2: [1+X₁]
• f27_v3: [X₁-2]

MPRF for transition t₂₅₇: f27_v3(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+4 {O(n)}

MPRF:

• f27_v1: [X₁-2]
• f27_v2: [X₀]
• f27_v3: [X₁]

MPRF for transition t₂₅₈: f27_v3(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+5 {O(n)}

MPRF:

• f27_v1: [1+X₁]
• f27_v2: [3+X₀]
• f27_v3: [X₁]

MPRF for transition t₂₅₉: f27_v3(X₀, X₁, X₂, X₃, X₄) → f27_v3(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+5 {O(n)}

MPRF:

• f27_v1: [2+X₀]
• f27_v2: [1+X₀]
• f27_v3: [1+X₁]

MPRF for transition t₂₆₇: f27_v1(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+2 {O(n)}

MPRF:

• f27_v1: [1+X₀]
• f27_v2: [X₀]
• f27_v3: [X₁]

MPRF for transition t₂₆₈: f27_v1(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+2 {O(n)}

MPRF:

• f27_v1: [1+X₀]
• f27_v2: [X₀]
• f27_v3: [X₁]

MPRF for transition t₂₆₉: f27_v1(X₀, X₁, X₂, X₃, X₄) → f27_v2(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

2⋅X₀+X₁+2 {O(n)}

MPRF:

• f27_v1: [1+X₀]
• f27_v2: [X₀]
• f27_v3: [X₁]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

cfr-program:

Start: f8
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: K, M
Locations: f27, f27_v1, f27_v2, f27_v3, f28, f30, f8, f9
Transitions:
t₂₃₇: f27(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₈: f27(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₉: f27(X₀, X₁, X₂, X₃, X₄) → f27_v2(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₀: f27(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₁: f27(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₅: f27(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₆: f27(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₂: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₃: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₄: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₅: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₁: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₂: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₃: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₄: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₆: f27(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₇: f27(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₂₉: f27(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₃₀: f27(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₆₇: f27_v1(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₈: f27_v1(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₉: f27_v1(X₀, X₁, X₂, X₃, X₄) → f27_v2(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₅: f27_v1(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₆: f27_v1(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₁: f27_v1(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₂: f27_v1(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₃: f27_v1(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₄: f27_v1(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₆₀: f27_v1(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₄₇: f27_v2(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₈: f27_v2(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₉: f27_v2(X₀, X₁, X₂, X₃, X₄) → f27_v3(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₅: f27_v2(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₆: f27_v2(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₁: f27_v2(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₂: f27_v2(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₃: f27_v2(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₄: f27_v2(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁
t₂₄₀: f27_v2(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₂₅₇: f27_v3(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₈: f27_v3(X₀, X₁, X₂, X₃, X₄) → f27_v1(X₀-1, X₀-1, 0, X₃, X₄) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₉: f27_v3(X₀, X₁, X₂, X₃, X₄) → f27_v3(X₁-2, X₁-1, 0, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₅: f27_v3(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₆: f27_v3(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₁: f27_v3(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₂: f27_v3(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1 ≤ K ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₃: f27_v3(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1 ≤ M ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₄: f27_v3(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₀, X₁) :|: 1+K ≤ 0 ∧ 1+M ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁
t₂₅₀: f27_v3(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₈: f28(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₉₉: f28(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₀: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₁: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₂: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₃: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₅: f28(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₆: f30(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₇: f30(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₈: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₀₉: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₀: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₁: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₃: f30(X₀, X₁, X₂, X₃, X₄) → f9(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄
t₁₁₄: f8(X₀, X₁, X₂, X₃, X₄) → f27(X₀, X₁, 0, X₃, X₄)

MPRF for transition t₉₈: f28(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

210⋅X₁+424⋅X₀+10 {O(n)}

MPRF:

• f28: [1+X₁]
• f30: [X₀]

MPRF for transition t₉₉: f28(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

210⋅X₁+424⋅X₀+10 {O(n)}

MPRF:

• f28: [1+X₁]
• f30: [X₁]

MPRF for transition t₁₀₀: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

128⋅X₀+64⋅X₁ {O(n)}

MPRF:

• f28: [X₀]
• f30: [X₁]

MPRF for transition t₁₀₁: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

128⋅X₀+64⋅X₁+40 {O(n)}

MPRF:

• f28: [X₀]
• f30: [X₁-2]

MPRF for transition t₁₀₂: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

210⋅X₁+424⋅X₀+20 {O(n)}

MPRF:

• f28: [X₁]
• f30: [1+X₁]

MPRF for transition t₁₀₃: f28(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 2+X₀ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ X₁ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

210⋅X₁+424⋅X₀+20 {O(n)}

MPRF:

• f28: [X₁]
• f30: [1+X₁]

MPRF for transition t₁₀₆: f30(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

210⋅X₁+424⋅X₀ {O(n)}

MPRF:

• f28: [X₁]
• f30: [X₁]

MPRF for transition t₁₀₇: f30(X₀, X₁, X₂, X₃, X₄) → f28(X₁-2, X₁-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

210⋅X₁+424⋅X₀+70 {O(n)}

MPRF:

• f28: [X₁+X₂]
• f30: [2+X₁-X₂]

MPRF for transition t₁₀₈: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

1432⋅X₀+720⋅X₁ {O(n)}

MPRF:

• f28: [X₁+X₄]
• f30: [X₁+X₄]

MPRF for transition t₁₀₉: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

1432⋅X₀+720⋅X₁ {O(n)}

MPRF:

• f28: [X₁+X₄]
• f30: [X₁+X₄]

MPRF for transition t₁₁₀: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1+K ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

210⋅X₁+424⋅X₀+20 {O(n)}

MPRF:

• f28: [X₁]
• f30: [1+X₀]

MPRF for transition t₁₁₁: f30(X₀, X₁, X₂, X₃, X₄) → f30(X₀-1, X₀-1, 1, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ K ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ of depth 1:

new bound:

128⋅X₀+64⋅X₁+20 {O(n)}

MPRF:

• f28: [X₀]
• f30: [1+X₀]

All Bounds

Timebounds

Overall timebound:3111⋅X₁+6234⋅X₀+279 {O(n)}
t₉₀: 1 {O(1)}
t₉₁: 1 {O(1)}
t₉₂: 1 {O(1)}
t₉₃: 1 {O(1)}
t₉₄: 1 {O(1)}
t₉₅: 1 {O(1)}
t₉₆: 1 {O(1)}
t₉₇: 1 {O(1)}
t₉₈: 210⋅X₁+424⋅X₀+10 {O(n)}
t₉₉: 210⋅X₁+424⋅X₀+10 {O(n)}
t₁₀₀: 128⋅X₀+64⋅X₁ {O(n)}
t₁₀₁: 128⋅X₀+64⋅X₁+40 {O(n)}
t₁₀₂: 210⋅X₁+424⋅X₀+20 {O(n)}
t₁₀₃: 210⋅X₁+424⋅X₀+20 {O(n)}
t₁₀₅: 1 {O(1)}
t₁₀₆: 210⋅X₁+424⋅X₀ {O(n)}
t₁₀₇: 210⋅X₁+424⋅X₀+70 {O(n)}
t₁₀₈: 1432⋅X₀+720⋅X₁ {O(n)}
t₁₀₉: 1432⋅X₀+720⋅X₁ {O(n)}
t₁₁₀: 210⋅X₁+424⋅X₀+20 {O(n)}
t₁₁₁: 128⋅X₀+64⋅X₁+20 {O(n)}
t₁₁₃: 1 {O(1)}
t₁₁₄: 1 {O(1)}
t₂₂₉: 1 {O(1)}
t₂₃₀: 1 {O(1)}
t₂₃₁: 1 {O(1)}
t₂₃₂: 1 {O(1)}
t₂₃₃: 1 {O(1)}
t₂₃₄: 1 {O(1)}
t₂₃₅: 1 {O(1)}
t₂₃₆: 1 {O(1)}
t₂₃₇: 1 {O(1)}
t₂₃₈: 1 {O(1)}
t₂₃₉: 1 {O(1)}
t₂₄₀: 1 {O(1)}
t₂₄₁: 1 {O(1)}
t₂₄₂: 1 {O(1)}
t₂₄₃: 1 {O(1)}
t₂₄₄: 1 {O(1)}
t₂₄₅: 1 {O(1)}
t₂₄₆: 1 {O(1)}
t₂₄₇: 2⋅X₀+X₁+3 {O(n)}
t₂₄₈: 2⋅X₀+X₁+2 {O(n)}
t₂₄₉: 2⋅X₀+X₁+1 {O(n)}
t₂₅₀: 1 {O(1)}
t₂₅₁: 1 {O(1)}
t₂₅₂: 1 {O(1)}
t₂₅₃: 1 {O(1)}
t₂₅₄: 1 {O(1)}
t₂₅₅: 1 {O(1)}
t₂₅₆: 1 {O(1)}
t₂₅₇: 2⋅X₀+X₁+4 {O(n)}
t₂₅₈: 2⋅X₀+X₁+5 {O(n)}
t₂₅₉: 2⋅X₀+X₁+5 {O(n)}
t₂₆₀: 1 {O(1)}
t₂₆₁: 1 {O(1)}
t₂₆₂: 1 {O(1)}
t₂₆₃: 1 {O(1)}
t₂₆₄: 1 {O(1)}
t₂₆₅: 1 {O(1)}
t₂₆₆: 1 {O(1)}
t₂₆₇: 2⋅X₀+X₁+2 {O(n)}
t₂₆₈: 2⋅X₀+X₁+2 {O(n)}
t₂₆₉: 2⋅X₀+X₁+2 {O(n)}

Costbounds

Overall costbound: 3111⋅X₁+6234⋅X₀+279 {O(n)}
t₉₀: 1 {O(1)}
t₉₁: 1 {O(1)}
t₉₂: 1 {O(1)}
t₉₃: 1 {O(1)}
t₉₄: 1 {O(1)}
t₉₅: 1 {O(1)}
t₉₆: 1 {O(1)}
t₉₇: 1 {O(1)}
t₉₈: 210⋅X₁+424⋅X₀+10 {O(n)}
t₉₉: 210⋅X₁+424⋅X₀+10 {O(n)}
t₁₀₀: 128⋅X₀+64⋅X₁ {O(n)}
t₁₀₁: 128⋅X₀+64⋅X₁+40 {O(n)}
t₁₀₂: 210⋅X₁+424⋅X₀+20 {O(n)}
t₁₀₃: 210⋅X₁+424⋅X₀+20 {O(n)}
t₁₀₅: 1 {O(1)}
t₁₀₆: 210⋅X₁+424⋅X₀ {O(n)}
t₁₀₇: 210⋅X₁+424⋅X₀+70 {O(n)}
t₁₀₈: 1432⋅X₀+720⋅X₁ {O(n)}
t₁₀₉: 1432⋅X₀+720⋅X₁ {O(n)}
t₁₁₀: 210⋅X₁+424⋅X₀+20 {O(n)}
t₁₁₁: 128⋅X₀+64⋅X₁+20 {O(n)}
t₁₁₃: 1 {O(1)}
t₁₁₄: 1 {O(1)}
t₂₂₉: 1 {O(1)}
t₂₃₀: 1 {O(1)}
t₂₃₁: 1 {O(1)}
t₂₃₂: 1 {O(1)}
t₂₃₃: 1 {O(1)}
t₂₃₄: 1 {O(1)}
t₂₃₅: 1 {O(1)}
t₂₃₆: 1 {O(1)}
t₂₃₇: 1 {O(1)}
t₂₃₈: 1 {O(1)}
t₂₃₉: 1 {O(1)}
t₂₄₀: 1 {O(1)}
t₂₄₁: 1 {O(1)}
t₂₄₂: 1 {O(1)}
t₂₄₃: 1 {O(1)}
t₂₄₄: 1 {O(1)}
t₂₄₅: 1 {O(1)}
t₂₄₆: 1 {O(1)}
t₂₄₇: 2⋅X₀+X₁+3 {O(n)}
t₂₄₈: 2⋅X₀+X₁+2 {O(n)}
t₂₄₉: 2⋅X₀+X₁+1 {O(n)}
t₂₅₀: 1 {O(1)}
t₂₅₁: 1 {O(1)}
t₂₅₂: 1 {O(1)}
t₂₅₃: 1 {O(1)}
t₂₅₄: 1 {O(1)}
t₂₅₅: 1 {O(1)}
t₂₅₆: 1 {O(1)}
t₂₅₇: 2⋅X₀+X₁+4 {O(n)}
t₂₅₈: 2⋅X₀+X₁+5 {O(n)}
t₂₅₉: 2⋅X₀+X₁+5 {O(n)}
t₂₆₀: 1 {O(1)}
t₂₆₁: 1 {O(1)}
t₂₆₂: 1 {O(1)}
t₂₆₃: 1 {O(1)}
t₂₆₄: 1 {O(1)}
t₂₆₅: 1 {O(1)}
t₂₆₆: 1 {O(1)}
t₂₆₇: 2⋅X₀+X₁+2 {O(n)}
t₂₆₈: 2⋅X₀+X₁+2 {O(n)}
t₂₆₉: 2⋅X₀+X₁+2 {O(n)}

Sizebounds

t₉₀, X₀: X₁ {O(n)}
t₉₀, X₁: X₁ {O(n)}
t₉₀, X₂: 1 {O(1)}
t₉₀, X₃: X₀ {O(n)}
t₉₀, X₄: X₁ {O(n)}
t₉₁, X₀: X₁ {O(n)}
t₉₁, X₁: X₁ {O(n)}
t₉₁, X₂: 1 {O(1)}
t₉₁, X₃: X₀ {O(n)}
t₉₁, X₄: X₁ {O(n)}
t₉₂, X₀: X₀ {O(n)}
t₉₂, X₁: X₀ {O(n)}
t₉₂, X₂: 1 {O(1)}
t₉₂, X₃: X₀ {O(n)}
t₉₂, X₄: X₁ {O(n)}
t₉₃, X₀: X₀ {O(n)}
t₉₃, X₁: X₀ {O(n)}
t₉₃, X₂: 1 {O(1)}
t₉₃, X₃: X₀ {O(n)}
t₉₃, X₄: X₁ {O(n)}
t₉₄, X₀: X₀ {O(n)}
t₉₄, X₁: X₀ {O(n)}
t₉₄, X₂: 1 {O(1)}
t₉₄, X₃: X₀ {O(n)}
t₉₄, X₄: X₁ {O(n)}
t₉₅, X₀: X₀ {O(n)}
t₉₅, X₁: X₀ {O(n)}
t₉₅, X₂: 1 {O(1)}
t₉₅, X₃: X₀ {O(n)}
t₉₅, X₄: X₁ {O(n)}
t₉₆, X₀: X₀ {O(n)}
t₉₆, X₁: X₁ {O(n)}
t₉₆, X₂: 0 {O(1)}
t₉₆, X₃: X₃ {O(n)}
t₉₆, X₄: X₄ {O(n)}
t₉₇, X₀: X₀ {O(n)}
t₉₇, X₁: X₁ {O(n)}
t₉₇, X₂: 0 {O(1)}
t₉₇, X₃: X₃ {O(n)}
t₉₇, X₄: X₄ {O(n)}
t₉₈, X₀: 128⋅X₀+88⋅X₁ {O(n)}
t₉₈, X₁: 1614⋅X₁+2216⋅X₀ {O(n)}
t₉₈, X₂: 1 {O(1)}
t₉₈, X₃: 156⋅X₀+60⋅X₁ {O(n)}
t₉₈, X₄: 1008⋅X₀+534⋅X₁ {O(n)}
t₉₉, X₀: 4⋅X₁ {O(n)}
t₉₉, X₁: 60⋅X₁ {O(n)}
t₉₉, X₂: 1 {O(1)}
t₉₉, X₃: 4⋅X₀ {O(n)}
t₉₉, X₄: 4⋅X₁ {O(n)}
t₁₀₀, X₀: 128⋅X₀+88⋅X₁ {O(n)}
t₁₀₀, X₁: 208⋅X₁+296⋅X₀ {O(n)}
t₁₀₀, X₂: 1 {O(1)}
t₁₀₀, X₃: 156⋅X₀+60⋅X₁ {O(n)}
t₁₀₀, X₄: 1008⋅X₀+534⋅X₁ {O(n)}
t₁₀₁, X₀: 128⋅X₀+88⋅X₁ {O(n)}
t₁₀₁, X₁: 208⋅X₁+296⋅X₀ {O(n)}
t₁₀₁, X₂: 1 {O(1)}
t₁₀₁, X₃: 156⋅X₀+60⋅X₁ {O(n)}
t₁₀₁, X₄: 1008⋅X₀+534⋅X₁ {O(n)}
t₁₀₂, X₀: 4⋅X₁ {O(n)}
t₁₀₂, X₁: 12⋅X₁ {O(n)}
t₁₀₂, X₂: 1 {O(1)}
t₁₀₂, X₃: 4⋅X₀ {O(n)}
t₁₀₂, X₄: 4⋅X₁ {O(n)}
t₁₀₃, X₀: 4⋅X₁ {O(n)}
t₁₀₃, X₁: 12⋅X₁ {O(n)}
t₁₀₃, X₂: 1 {O(1)}
t₁₀₃, X₃: 4⋅X₀ {O(n)}
t₁₀₃, X₄: 4⋅X₁ {O(n)}
t₁₀₅, X₀: 1 {O(1)}
t₁₀₅, X₁: 1 {O(1)}
t₁₀₅, X₂: 1 {O(1)}
t₁₀₅, X₃: 140⋅X₁+364⋅X₀ {O(n)}
t₁₀₅, X₄: 1246⋅X₁+2352⋅X₀ {O(n)}
t₁₀₆, X₀: 128⋅X₀+88⋅X₁ {O(n)}
t₁₀₆, X₁: 1328⋅X₁+1880⋅X₀ {O(n)}
t₁₀₆, X₂: 1 {O(1)}
t₁₀₆, X₃: 156⋅X₀+60⋅X₁ {O(n)}
t₁₀₆, X₄: 1008⋅X₀+534⋅X₁ {O(n)}
t₁₀₇, X₀: 4⋅X₁ {O(n)}
t₁₀₇, X₁: 56⋅X₁ {O(n)}
t₁₀₇, X₂: 1 {O(1)}
t₁₀₇, X₃: 4⋅X₀ {O(n)}
t₁₀₇, X₄: 4⋅X₁ {O(n)}
t₁₀₈, X₀: 128⋅X₀+88⋅X₁ {O(n)}
t₁₀₈, X₁: 408⋅X₁+600⋅X₀ {O(n)}
t₁₀₈, X₂: 1 {O(1)}
t₁₀₈, X₃: 156⋅X₀+60⋅X₁ {O(n)}
t₁₀₈, X₄: 1008⋅X₀+534⋅X₁ {O(n)}
t₁₀₉, X₀: 128⋅X₀+88⋅X₁ {O(n)}
t₁₀₉, X₁: 408⋅X₁+600⋅X₀ {O(n)}
t₁₀₉, X₂: 1 {O(1)}
t₁₀₉, X₃: 156⋅X₀+60⋅X₁ {O(n)}
t₁₀₉, X₄: 1008⋅X₀+534⋅X₁ {O(n)}
t₁₁₀, X₀: 4⋅X₁ {O(n)}
t₁₁₀, X₁: 16⋅X₁ {O(n)}
t₁₁₀, X₂: 1 {O(1)}
t₁₁₀, X₃: 4⋅X₀ {O(n)}
t₁₁₀, X₄: 4⋅X₁ {O(n)}
t₁₁₁, X₀: 4⋅X₁ {O(n)}
t₁₁₁, X₁: 16⋅X₁ {O(n)}
t₁₁₁, X₂: 1 {O(1)}
t₁₁₁, X₃: 4⋅X₀ {O(n)}
t₁₁₁, X₄: 4⋅X₁ {O(n)}
t₁₁₃, X₀: 0 {O(1)}
t₁₁₃, X₁: 0 {O(1)}
t₁₁₃, X₂: 1 {O(1)}
t₁₁₃, X₃: 280⋅X₁+728⋅X₀ {O(n)}
t₁₁₃, X₄: 2492⋅X₁+4704⋅X₀ {O(n)}
t₁₁₄, X₀: X₀ {O(n)}
t₁₁₄, X₁: X₁ {O(n)}
t₁₁₄, X₂: 0 {O(1)}
t₁₁₄, X₃: X₃ {O(n)}
t₁₁₄, X₄: X₄ {O(n)}
t₂₂₉, X₀: X₀ {O(n)}
t₂₂₉, X₁: X₁ {O(n)}
t₂₂₉, X₂: 0 {O(1)}
t₂₂₉, X₃: X₃ {O(n)}
t₂₂₉, X₄: X₄ {O(n)}
t₂₃₀, X₀: X₀ {O(n)}
t₂₃₀, X₁: X₁ {O(n)}
t₂₃₀, X₂: 0 {O(1)}
t₂₃₀, X₃: X₃ {O(n)}
t₂₃₀, X₄: X₄ {O(n)}
t₂₃₁, X₀: X₀ {O(n)}
t₂₃₁, X₁: X₀ {O(n)}
t₂₃₁, X₂: 1 {O(1)}
t₂₃₁, X₃: X₀ {O(n)}
t₂₃₁, X₄: X₁ {O(n)}
t₂₃₂, X₀: X₀ {O(n)}
t₂₃₂, X₁: X₀ {O(n)}
t₂₃₂, X₂: 1 {O(1)}
t₂₃₂, X₃: X₀ {O(n)}
t₂₃₂, X₄: X₁ {O(n)}
t₂₃₃, X₀: X₀ {O(n)}
t₂₃₃, X₁: X₀ {O(n)}
t₂₃₃, X₂: 1 {O(1)}
t₂₃₃, X₃: X₀ {O(n)}
t₂₃₃, X₄: X₁ {O(n)}
t₂₃₄, X₀: X₀ {O(n)}
t₂₃₄, X₁: X₀ {O(n)}
t₂₃₄, X₂: 1 {O(1)}
t₂₃₄, X₃: X₀ {O(n)}
t₂₃₄, X₄: X₁ {O(n)}
t₂₃₅, X₀: X₁ {O(n)}
t₂₃₅, X₁: X₁ {O(n)}
t₂₃₅, X₂: 1 {O(1)}
t₂₃₅, X₃: X₀ {O(n)}
t₂₃₅, X₄: X₁ {O(n)}
t₂₃₆, X₀: X₁ {O(n)}
t₂₃₆, X₁: X₁ {O(n)}
t₂₃₆, X₂: 1 {O(1)}
t₂₃₆, X₃: X₀ {O(n)}
t₂₃₆, X₄: X₁ {O(n)}
t₂₃₇, X₀: X₀ {O(n)}
t₂₃₇, X₁: X₀ {O(n)}
t₂₃₇, X₂: 0 {O(1)}
t₂₃₇, X₃: X₃ {O(n)}
t₂₃₇, X₄: X₄ {O(n)}
t₂₃₈, X₀: X₀ {O(n)}
t₂₃₈, X₁: X₀ {O(n)}
t₂₃₈, X₂: 0 {O(1)}
t₂₃₈, X₃: X₃ {O(n)}
t₂₃₈, X₄: X₄ {O(n)}
t₂₃₉, X₀: X₁ {O(n)}
t₂₃₉, X₁: X₁ {O(n)}
t₂₃₉, X₂: 0 {O(1)}
t₂₃₉, X₃: X₃ {O(n)}
t₂₃₉, X₄: X₄ {O(n)}
t₂₄₀, X₀: 1 {O(1)}
t₂₄₀, X₁: 1 {O(1)}
t₂₄₀, X₂: 0 {O(1)}
t₂₄₀, X₃: 4⋅X₃ {O(n)}
t₂₄₀, X₄: 4⋅X₄ {O(n)}
t₂₄₁, X₀: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₁, X₁: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₁, X₂: 1 {O(1)}
t₂₄₁, X₃: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₁, X₄: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₂, X₀: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₂, X₁: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₂, X₂: 1 {O(1)}
t₂₄₂, X₃: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₂, X₄: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₃, X₀: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₃, X₁: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₃, X₂: 1 {O(1)}
t₂₄₃, X₃: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₃, X₄: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₄, X₀: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₄, X₁: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₄, X₂: 1 {O(1)}
t₂₄₄, X₃: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₄, X₄: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₅, X₀: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₅, X₁: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₅, X₂: 1 {O(1)}
t₂₄₅, X₃: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₅, X₄: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₆, X₀: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₆, X₁: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₆, X₂: 1 {O(1)}
t₂₄₆, X₃: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₆, X₄: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₇, X₀: 2⋅X₀+X₁ {O(n)}
t₂₄₇, X₁: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₇, X₂: 0 {O(1)}
t₂₄₇, X₃: 3⋅X₃ {O(n)}
t₂₄₇, X₄: 3⋅X₄ {O(n)}
t₂₄₈, X₀: 2⋅X₀+X₁ {O(n)}
t₂₄₈, X₁: 2⋅X₀+2⋅X₁ {O(n)}
t₂₄₈, X₂: 0 {O(1)}
t₂₄₈, X₃: 3⋅X₃ {O(n)}
t₂₄₈, X₄: 3⋅X₄ {O(n)}
t₂₄₉, X₀: 2⋅X₀+X₁ {O(n)}
t₂₄₉, X₁: 21⋅X₁+42⋅X₀ {O(n)}
t₂₄₉, X₂: 0 {O(1)}
t₂₄₉, X₃: 3⋅X₃ {O(n)}
t₂₄₉, X₄: 3⋅X₄ {O(n)}
t₂₅₀, X₀: 0 {O(1)}
t₂₅₀, X₁: 1 {O(1)}
t₂₅₀, X₂: 0 {O(1)}
t₂₅₀, X₃: 6⋅X₃ {O(n)}
t₂₅₀, X₄: 6⋅X₄ {O(n)}
t₂₅₁, X₀: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₁, X₁: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₁, X₂: 1 {O(1)}
t₂₅₁, X₃: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₁, X₄: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₂, X₀: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₂, X₁: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₂, X₂: 1 {O(1)}
t₂₅₂, X₃: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₂, X₄: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₃, X₀: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₃, X₁: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₃, X₂: 1 {O(1)}
t₂₅₃, X₃: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₃, X₄: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₄, X₀: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₄, X₁: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₄, X₂: 1 {O(1)}
t₂₅₄, X₃: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₄, X₄: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₅, X₀: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₅, X₁: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₅, X₂: 1 {O(1)}
t₂₅₅, X₃: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₅, X₄: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₆, X₀: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₆, X₁: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₆, X₂: 1 {O(1)}
t₂₅₆, X₃: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₆, X₄: 42⋅X₁+84⋅X₀ {O(n)}
t₂₅₇, X₀: 2⋅X₀+X₁ {O(n)}
t₂₅₇, X₁: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₇, X₂: 0 {O(1)}
t₂₅₇, X₃: 3⋅X₃ {O(n)}
t₂₅₇, X₄: 3⋅X₄ {O(n)}
t₂₅₈, X₀: 2⋅X₀+X₁ {O(n)}
t₂₅₈, X₁: 2⋅X₁+4⋅X₀ {O(n)}
t₂₅₈, X₂: 0 {O(1)}
t₂₅₈, X₃: 3⋅X₃ {O(n)}
t₂₅₈, X₄: 3⋅X₄ {O(n)}
t₂₅₉, X₀: 2⋅X₀+X₁ {O(n)}
t₂₅₉, X₁: 21⋅X₁+42⋅X₀ {O(n)}
t₂₅₉, X₂: 0 {O(1)}
t₂₅₉, X₃: 3⋅X₃ {O(n)}
t₂₅₉, X₄: 3⋅X₄ {O(n)}
t₂₆₀, X₀: 0 {O(1)}
t₂₆₀, X₁: 0 {O(1)}
t₂₆₀, X₂: 0 {O(1)}
t₂₆₀, X₃: 20⋅X₃ {O(n)}
t₂₆₀, X₄: 20⋅X₄ {O(n)}
t₂₆₁, X₀: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₁, X₁: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₁, X₂: 1 {O(1)}
t₂₆₁, X₃: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₁, X₄: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₂, X₀: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₂, X₁: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₂, X₂: 1 {O(1)}
t₂₆₂, X₃: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₂, X₄: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₃, X₀: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₃, X₁: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₃, X₂: 1 {O(1)}
t₂₆₃, X₃: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₃, X₄: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₄, X₀: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₄, X₁: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₄, X₂: 1 {O(1)}
t₂₆₄, X₃: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₄, X₄: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₅, X₀: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₅, X₁: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₅, X₂: 1 {O(1)}
t₂₆₅, X₃: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₅, X₄: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₆, X₀: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₆, X₁: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₆, X₂: 1 {O(1)}
t₂₆₆, X₃: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₆, X₄: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₇, X₀: 2⋅X₀+X₁ {O(n)}
t₂₆₇, X₁: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₇, X₂: 0 {O(1)}
t₂₆₇, X₃: 3⋅X₃ {O(n)}
t₂₆₇, X₄: 3⋅X₄ {O(n)}
t₂₆₈, X₀: 2⋅X₀+X₁ {O(n)}
t₂₆₈, X₁: 14⋅X₀+6⋅X₁ {O(n)}
t₂₆₈, X₂: 0 {O(1)}
t₂₆₈, X₃: 3⋅X₃ {O(n)}
t₂₆₈, X₄: 3⋅X₄ {O(n)}
t₂₆₉, X₀: 2⋅X₀+X₁ {O(n)}
t₂₆₉, X₁: 20⋅X₁+42⋅X₀ {O(n)}
t₂₆₉, X₂: 0 {O(1)}
t₂₆₉, X₃: 3⋅X₃ {O(n)}
t₂₆₉, X₄: 3⋅X₄ {O(n)}