Initial Problem
Start: f2
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆
Temp_Vars: B1, C1, D1
Locations: f1, f103, f107, f118, f13, f2, f24, f31, f37, f40, f44, f50, f57, f64, f71, f86, f91, f99
Transitions:
t₂₄: f103(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f107(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, 0, X₂₄, X₂₅, X₂₆) :|: 0 ≤ X₁₁ ∧ X₁₁ ≤ 0
t₂₅: f103(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f107(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, (X₁₁)², X₂₄, X₂₅, X₂₆) :|: 1+X₁₁ ≤ 0
t₂₆: f103(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f107(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, (X₁₁)², X₂₄, X₂₅, X₂₆) :|: 1 ≤ X₁₁
t₂₇: f107(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, 0, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, 0, X₂₅, X₂₆) :|: 0 ≤ X₁₁ ∧ X₁₁ ≤ 0
t₂₈: f107(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, (X₁₁)², X₂₅, X₂₆) :|: 1+X₁₁ ≤ 0
t₂₉: f107(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, (X₁₁)², X₂₅, X₂₆) :|: 1 ≤ X₁₁
t₃₁: f118(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉
t₃₀: f118(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f118(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₀
t₁: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, 1, 0, 0, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₃
t₂: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f13(X₀, 1+(C1)²+X₁-2⋅C1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, C1, 1-C1, 1+(C1)²-2⋅C1, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 2 ≤ C1 ∧ X₉ ≤ X₃
t₃: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f13(X₀, 1+(C1)²+X₁-2⋅C1, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, C1, 1-C1, 1+(C1)²-2⋅C1, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: C1 ≤ 0 ∧ X₉ ≤ X₃
t₄₆: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₃ ≤ X₉
t₀: f2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f13(X₀, 0, 0, 2⋅X₀, 4⋅X₀, 3+4⋅X₀, 4+4⋅X₀, X₀, C1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: B1*X₀ ≤ 1 ∧ D1*X₀ ≤ 1 ∧ 2 ≤ B1+B1*X₀ ∧ 2 ≤ D1+D1*X₀ ∧ B1 ≤ C1 ∧ C1 ≤ D1
t₄: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₀
t₄₃: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉ ∧ 1+X₁₅ ≤ 0
t₄₄: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉ ∧ 1 ≤ X₁₅
t₄₅: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, 0, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉ ∧ 0 ≤ X₁₅ ∧ X₁₅ ≤ 0
t₅: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₀
t₄₂: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉
t₄₁: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f118(X₀, X₁, X₂*X₄, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₁₃ ≤ X₁₄
t₆: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₁₄ ≤ X₁₃
t₇: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₁₅ ≤ 0 ∧ X₁₆ ≤ 0
t₈: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1 ≤ X₁₅ ∧ X₁₆ ≤ 0
t₁₂: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, 0, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 0 ≤ X₁₅ ∧ X₁₅ ≤ 0 ∧ X₁₆ ≤ 0
t₄₀: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1 ≤ X₁₆
t₉: f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₀
t₃₉: f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉
t₁₀: f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₀
t₃₈: f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₃+X₁₆) :|: 1+X₀ ≤ X₉
t₃₇: f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, 1+X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉
t₁₁: f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₀
t₃₆: f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, 1+X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₄ ≤ X₉
t₁₃: f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 2+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₄
t₁₄: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, 2⋅X₉, C1, 1-C1, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₃
t₃₃: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, 0, X₂₆) :|: 1+X₃ ≤ X₉
t₃₄: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, (B1)², X₂₆) :|: 1+B1 ≤ 0 ∧ 1+X₃ ≤ X₉
t₃₅: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, (B1)², X₂₆) :|: 1 ≤ B1 ∧ 1+X₃ ≤ X₉
t₁₅: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, 0, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, 0, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 0 ≤ X₁₁ ∧ X₁₁ ≤ 0
t₁₆: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, (X₁₁)², X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₁₁ ≤ 0
t₁₇: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, (X₁₁)², X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1 ≤ X₁₁
t₃₂: f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f37(X₀, X₁, X₁+X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, 1+X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₀ ≤ X₉
t₁₈: f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f99(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, 2⋅X₉, X₁₈, X₁₉, X₂₀, 0, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: X₉ ≤ X₀
t₁₉: f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f99(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, 2⋅X₉, X₁₈, X₁₉, X₂₀, (B1)², X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+B1 ≤ 0 ∧ X₉ ≤ X₀
t₂₀: f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f99(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, 2⋅X₉, X₁₈, X₁₉, X₂₀, (B1)², X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) :|: 1 ≤ B1 ∧ X₉ ≤ X₀
t₂₁: f99(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f103(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, 0, X₂₃, X₂₄, X₂₅, X₂₆) :|: 0 ≤ X₁₁ ∧ X₁₁ ≤ 0
t₂₂: f99(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f103(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, (X₁₁)², X₂₃, X₂₄, X₂₅, X₂₆) :|: 1+X₁₁ ≤ 0
t₂₃: f99(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆) → f103(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, C1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, (X₁₁)², X₂₃, X₂₄, X₂₅, X₂₆) :|: 1 ≤ X₁₁
Preprocessing
Cut unsatisfiable transition [t₅: f31→f31; t₁₀: f50→f50; t₁₁: f57→f57]
Eliminate variables [X₁; X₂; X₅; X₆; X₇; X₈; X₁₀; X₁₂; X₁₇; X₁₈; X₁₉; X₂₀; X₂₁; X₂₂; X₂₃; X₂₄; X₂₅; X₂₆] that do not contribute to the problem
Found invariant X₈ ≤ 0 ∧ X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f44
Found invariant 1 ≤ 0 for location f103
Found invariant 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f37
Found invariant 1 ≤ X₈ ∧ X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f71
Found invariant X₈ ≤ 0 ∧ X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f57
Found invariant 1 ≤ X₈ ∧ X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f86
Found invariant 1 ≤ X₈ ∧ X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f91
Found invariant 1+X₅ ≤ X₆ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f1
Found invariant X₈ ≤ 0 ∧ X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f50
Found invariant 1 ≤ 0 for location f107
Found invariant 1+X₅ ≤ X₆ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f118
Found invariant 1 ≤ 0 for location f99
Found invariant X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f40
Found invariant 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f31
Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ X₇ ≤ 0 ∧ 0 ≤ X₇ ∧ X₆ ≤ X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ for location f64
Found invariant 1+X₁ ≤ X₃ for location f24
Cut unsatisfiable transition [t₁₀₁: f103→f107; t₁₀₂: f103→f107; t₁₀₃: f103→f107; t₁₀₄: f107→f91; t₁₀₅: f107→f91; t₁₀₆: f107→f91; t₁₀₈: f118→f118; t₁₂₅: f44→f44; t₁₃₁: f71→f71; t₁₃₉: f91→f99; t₁₄₀: f91→f99; t₁₄₁: f91→f99; t₁₄₂: f99→f103; t₁₄₃: f99→f103; t₁₄₄: f99→f103]
Cut unreachable locations [f103; f107; f99] from the program graph
Problem after Preprocessing
Start: f2
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: B1, C1, D1
Locations: f1, f118, f13, f2, f24, f31, f37, f40, f44, f50, f57, f64, f71, f86, f91
Transitions:
t₁₀₇: f118(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1+X₅ ≤ X₆
t₁₀₉: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f13(X₀, X₁, X₂, 1+X₃, 0, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₁
t₁₁₀: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f13(X₀, X₁, X₂, 1+X₃, 1-C1, X₅, X₆, X₇, X₈) :|: 2 ≤ C1 ∧ X₃ ≤ X₁
t₁₁₁: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f13(X₀, X₁, X₂, 1+X₃, 1-C1, X₅, X₆, X₇, X₈) :|: C1 ≤ 0 ∧ X₃ ≤ X₁
t₁₁₂: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₁ ≤ X₃
t₁₁₃: f2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f13(X₀, 2⋅X₀, 4⋅X₀, X₃, X₄, X₅, X₆, X₇, X₈) :|: B1*X₀ ≤ 1 ∧ D1*X₀ ≤ 1 ∧ 2 ≤ B1+B1*X₀ ∧ 2 ≤ D1+D1*X₀ ∧ B1 ≤ C1 ∧ C1 ≤ D1
t₁₁₄: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f24(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₀ ∧ 1+X₁ ≤ X₃
t₁₁₅: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₇ ≤ 0 ∧ 1+X₁ ≤ X₃
t₁₁₆: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1 ≤ X₇ ∧ 1+X₁ ≤ X₃
t₁₁₇: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈) :|: 1+X₀ ≤ X₃ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ 1+X₁ ≤ X₃
t₁₁₈: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃
t₁₁₉: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f118(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₅ ≤ X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃
t₁₂₀: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₆ ≤ X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃
t₁₂₁: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₇ ≤ 0 ∧ X₈ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅
t₁₂₂: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₇ ∧ X₈ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅
t₁₂₃: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈) :|: 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₈ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅
t₁₂₄: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₈ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅
t₁₂₆: f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₈ ≤ 0
t₁₂₇: f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₈ ≤ 0
t₁₂₈: f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₈ ≤ 0
t₁₂₉: f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈) :|: 1+X₂ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₇ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ 0
t₁₃₀: f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f64(X₀, X₁, X₂, 2+X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₂ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₇ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ 0
t₁₃₂: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f86(X₀, X₁, X₂, X₃, C1, X₅, X₆, X₇, X₈) :|: 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅
t₁₃₃: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f86(X₀, X₁, X₂, X₃, C1, X₅, X₆, X₇, X₈) :|: 1+B1 ≤ 0 ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅
t₁₃₄: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f86(X₀, X₁, X₂, X₃, C1, X₅, X₆, X₇, X₈) :|: 1 ≤ B1 ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅
t₁₃₅: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f91(X₀, X₁, X₂, X₃, 0, X₅, X₆, X₇, X₈) :|: 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅
t₁₃₆: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₄ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅
t₁₃₇: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₄ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅
t₁₃₈: f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f37(X₀, X₁, X₂, X₃, X₄, X₅, 1+X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅
MPRF for transition t₁₀₉: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f13(X₀, X₁, X₂, 1+X₃, 0, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₁ of depth 1:
new bound:
2⋅X₀+X₃+1 {O(n)}
MPRF:
• f13: [1+X₁-X₃]
MPRF for transition t₁₁₀: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f13(X₀, X₁, X₂, 1+X₃, 1-C1, X₅, X₆, X₇, X₈) :|: 2 ≤ C1 ∧ X₃ ≤ X₁ of depth 1:
new bound:
2⋅X₀+X₃+1 {O(n)}
MPRF:
• f13: [1+X₁-X₃]
MPRF for transition t₁₁₁: f13(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f13(X₀, X₁, X₂, 1+X₃, 1-C1, X₅, X₆, X₇, X₈) :|: C1 ≤ 0 ∧ X₃ ≤ X₁ of depth 1:
new bound:
2⋅X₀+X₃+1 {O(n)}
MPRF:
• f13: [1+X₁-X₃]
MPRF for transition t₁₁₄: f24(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f24(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₀ ∧ 1+X₁ ≤ X₃ of depth 1:
new bound:
13⋅X₃+22⋅X₀+10 {O(n)}
MPRF:
• f24: [1+X₀-X₃]
MPRF for transition t₁₂₀: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₆ ≤ X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [X₅-X₆]
• f44: [X₅-X₆]
• f50: [X₅-X₆]
• f57: [X₅-X₆]
• f64: [X₅-X₆]
• f71: [X₅-X₆]
• f86: [X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₂₁: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₇ ≤ 0 ∧ X₈ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₈+2 {O(n)}
MPRF:
• f37: [1-X₈]
• f40: [1-X₈]
• f44: [-X₈]
• f50: [-X₈]
• f57: [-X₈]
• f64: [-X₈]
• f71: [1-X₈]
• f86: [1-X₈]
• f91: [1-X₈]
MPRF for transition t₁₂₂: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₇ ∧ X₈ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₈+2 {O(n)}
MPRF:
• f37: [1-X₈]
• f40: [1-X₈]
• f44: [-X₈]
• f50: [-X₈]
• f57: [-X₈]
• f64: [-X₈]
• f71: [1-X₈]
• f86: [1-X₈]
• f91: [1-X₈]
MPRF for transition t₁₂₃: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈) :|: 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₈ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₈+2 {O(n)}
MPRF:
• f37: [1-X₈]
• f40: [1-X₈]
• f44: [1-X₈]
• f50: [1-X₈]
• f57: [1-X₈]
• f64: [-X₈]
• f71: [1-X₈]
• f86: [1-X₈]
• f91: [1-X₈]
MPRF for transition t₁₂₄: f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₈ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [X₅-X₆]
• f86: [X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₂₆: f44(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₈ ≤ 0 of depth 1:
new bound:
24⋅X₈+2 {O(n)}
MPRF:
• f37: [1-X₈]
• f40: [1-X₈]
• f44: [1-X₈]
• f50: [-X₈]
• f57: [-X₈]
• f64: [-X₈]
• f71: [1-X₈]
• f86: [1-X₈]
• f91: [1-X₈]
MPRF for transition t₁₂₇: f50(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₈ ≤ 0 of depth 1:
new bound:
24⋅X₈+2 {O(n)}
MPRF:
• f37: [1-X₈]
• f40: [1-X₈]
• f44: [1-X₈]
• f50: [1-X₈]
• f57: [-X₈]
• f64: [-X₈]
• f71: [1-X₈]
• f86: [1-X₈]
• f91: [1-X₈]
MPRF for transition t₁₂₈: f57(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₈ ≤ 0 of depth 1:
new bound:
24⋅X₈+2 {O(n)}
MPRF:
• f37: [1-X₈]
• f40: [1-X₈]
• f44: [1-X₈]
• f50: [1-X₈]
• f57: [1-X₈]
• f64: [-X₈]
• f71: [1-X₈]
• f86: [1-X₈]
• f91: [1-X₈]
MPRF for transition t₁₂₉: f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f40(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈) :|: 1+X₂ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₇ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ 0 of depth 1:
new bound:
24⋅X₈+2 {O(n)}
MPRF:
• f37: [1-X₈]
• f40: [1-X₈]
• f44: [-X₈]
• f50: [-X₈]
• f57: [-X₈]
• f64: [1-X₈]
• f71: [1-X₈]
• f86: [1-X₈]
• f91: [1-X₈]
MPRF for transition t₁₃₀: f64(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f64(X₀, X₁, X₂, 2+X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₂ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₇ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ 0 of depth 1:
new bound:
117⋅X₃+390⋅X₀+84 {O(n)}
MPRF:
• f37: [2⋅X₂-X₀-X₃]
• f40: [2⋅X₂-X₀-X₃]
• f44: [2⋅X₂-X₀-X₃]
• f50: [2⋅X₂-X₀-X₃]
• f57: [2⋅X₂-X₀-X₃]
• f64: [2⋅X₂-X₀-X₃]
• f71: [2⋅X₂-X₀-X₃]
• f86: [2⋅X₂-X₀-X₃]
• f91: [2⋅X₂-X₀-X₃]
MPRF for transition t₁₃₂: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f86(X₀, X₁, X₂, X₃, C1, X₅, X₆, X₇, X₈) :|: 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [1+X₅-X₆]
• f86: [X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₃₃: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f86(X₀, X₁, X₂, X₃, C1, X₅, X₆, X₇, X₈) :|: 1+B1 ≤ 0 ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [1+X₅-X₆]
• f86: [X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₃₄: f71(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f86(X₀, X₁, X₂, X₃, C1, X₅, X₆, X₇, X₈) :|: 1 ≤ B1 ∧ 1+X₁ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [1+X₅-X₆]
• f86: [X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₃₅: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f91(X₀, X₁, X₂, X₃, 0, X₅, X₆, X₇, X₈) :|: 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [1+X₅-X₆]
• f86: [1+X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₃₆: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₄ ≤ 0 ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [1+X₅-X₆]
• f86: [1+X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₃₇: f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₄ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [1+X₅-X₆]
• f86: [1+X₅-X₆]
• f91: [X₅-X₆]
MPRF for transition t₁₃₈: f91(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f37(X₀, X₁, X₂, X₃, X₄, X₅, 1+X₆, X₇, X₈) :|: 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₈ ∧ X₆ ≤ X₅ of depth 1:
new bound:
24⋅X₅+24⋅X₆+2 {O(n)}
MPRF:
• f37: [1+X₅-X₆]
• f40: [1+X₅-X₆]
• f44: [1+X₅-X₆]
• f50: [1+X₅-X₆]
• f57: [1+X₅-X₆]
• f64: [1+X₅-X₆]
• f71: [1+X₅-X₆]
• f86: [1+X₅-X₆]
• f91: [1+X₅-X₆]
All Bounds
Timebounds
Overall timebound:133⋅X₃+168⋅X₈+216⋅X₅+216⋅X₆+418⋅X₀+137 {O(n)}
t₁₀₇: 1 {O(1)}
t₁₀₉: 2⋅X₀+X₃+1 {O(n)}
t₁₁₀: 2⋅X₀+X₃+1 {O(n)}
t₁₁₁: 2⋅X₀+X₃+1 {O(n)}
t₁₁₂: 1 {O(1)}
t₁₁₃: 1 {O(1)}
t₁₁₄: 13⋅X₃+22⋅X₀+10 {O(n)}
t₁₁₅: 1 {O(1)}
t₁₁₆: 1 {O(1)}
t₁₁₇: 1 {O(1)}
t₁₁₈: 1 {O(1)}
t₁₁₉: 1 {O(1)}
t₁₂₀: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₂₁: 24⋅X₈+2 {O(n)}
t₁₂₂: 24⋅X₈+2 {O(n)}
t₁₂₃: 24⋅X₈+2 {O(n)}
t₁₂₄: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₂₆: 24⋅X₈+2 {O(n)}
t₁₂₇: 24⋅X₈+2 {O(n)}
t₁₂₈: 24⋅X₈+2 {O(n)}
t₁₂₉: 24⋅X₈+2 {O(n)}
t₁₃₀: 117⋅X₃+390⋅X₀+84 {O(n)}
t₁₃₂: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₃: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₄: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₅: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₆: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₇: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₈: 24⋅X₅+24⋅X₆+2 {O(n)}
Costbounds
Overall costbound: 133⋅X₃+168⋅X₈+216⋅X₅+216⋅X₆+418⋅X₀+137 {O(n)}
t₁₀₇: 1 {O(1)}
t₁₀₉: 2⋅X₀+X₃+1 {O(n)}
t₁₁₀: 2⋅X₀+X₃+1 {O(n)}
t₁₁₁: 2⋅X₀+X₃+1 {O(n)}
t₁₁₂: 1 {O(1)}
t₁₁₃: 1 {O(1)}
t₁₁₄: 13⋅X₃+22⋅X₀+10 {O(n)}
t₁₁₅: 1 {O(1)}
t₁₁₆: 1 {O(1)}
t₁₁₇: 1 {O(1)}
t₁₁₈: 1 {O(1)}
t₁₁₉: 1 {O(1)}
t₁₂₀: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₂₁: 24⋅X₈+2 {O(n)}
t₁₂₂: 24⋅X₈+2 {O(n)}
t₁₂₃: 24⋅X₈+2 {O(n)}
t₁₂₄: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₂₆: 24⋅X₈+2 {O(n)}
t₁₂₇: 24⋅X₈+2 {O(n)}
t₁₂₈: 24⋅X₈+2 {O(n)}
t₁₂₉: 24⋅X₈+2 {O(n)}
t₁₃₀: 117⋅X₃+390⋅X₀+84 {O(n)}
t₁₃₂: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₃: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₄: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₅: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₆: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₇: 24⋅X₅+24⋅X₆+2 {O(n)}
t₁₃₈: 24⋅X₅+24⋅X₆+2 {O(n)}
Sizebounds
t₁₀₇, X₀: 48⋅X₀ {O(n)}
t₁₀₇, X₁: 96⋅X₀ {O(n)}
t₁₀₇, X₂: 192⋅X₀ {O(n)}
t₁₀₇, X₃: 1128⋅X₀+468⋅X₃+336 {O(n)}
t₁₀₇, X₅: 48⋅X₅ {O(n)}
t₁₀₇, X₆: 24⋅X₅+72⋅X₆+2 {O(n)}
t₁₀₇, X₇: 32⋅X₇ {O(n)}
t₁₀₇, X₈: 48⋅X₈+1 {O(n)}
t₁₀₉, X₀: X₀ {O(n)}
t₁₀₉, X₁: 2⋅X₀ {O(n)}
t₁₀₉, X₂: 4⋅X₀ {O(n)}
t₁₀₉, X₃: 4⋅X₃+6⋅X₀+3 {O(n)}
t₁₀₉, X₄: 0 {O(1)}
t₁₀₉, X₅: X₅ {O(n)}
t₁₀₉, X₆: X₆ {O(n)}
t₁₀₉, X₇: X₇ {O(n)}
t₁₀₉, X₈: X₈ {O(n)}
t₁₁₀, X₀: X₀ {O(n)}
t₁₁₀, X₁: 2⋅X₀ {O(n)}
t₁₁₀, X₂: 4⋅X₀ {O(n)}
t₁₁₀, X₃: 4⋅X₃+6⋅X₀+3 {O(n)}
t₁₁₀, X₅: X₅ {O(n)}
t₁₁₀, X₆: X₆ {O(n)}
t₁₁₀, X₇: X₇ {O(n)}
t₁₁₀, X₈: X₈ {O(n)}
t₁₁₁, X₀: X₀ {O(n)}
t₁₁₁, X₁: 2⋅X₀ {O(n)}
t₁₁₁, X₂: 4⋅X₀ {O(n)}
t₁₁₁, X₃: 4⋅X₃+6⋅X₀+3 {O(n)}
t₁₁₁, X₅: X₅ {O(n)}
t₁₁₁, X₆: X₆ {O(n)}
t₁₁₁, X₇: X₇ {O(n)}
t₁₁₁, X₈: X₈ {O(n)}
t₁₁₂, X₀: 4⋅X₀ {O(n)}
t₁₁₂, X₁: 8⋅X₀ {O(n)}
t₁₁₂, X₂: 16⋅X₀ {O(n)}
t₁₁₂, X₃: 13⋅X₃+18⋅X₀+9 {O(n)}
t₁₁₂, X₅: 4⋅X₅ {O(n)}
t₁₁₂, X₆: 4⋅X₆ {O(n)}
t₁₁₂, X₇: 4⋅X₇ {O(n)}
t₁₁₂, X₈: 4⋅X₈ {O(n)}
t₁₁₃, X₀: X₀ {O(n)}
t₁₁₃, X₁: 2⋅X₀ {O(n)}
t₁₁₃, X₂: 4⋅X₀ {O(n)}
t₁₁₃, X₃: X₃ {O(n)}
t₁₁₃, X₄: X₄ {O(n)}
t₁₁₃, X₅: X₅ {O(n)}
t₁₁₃, X₆: X₆ {O(n)}
t₁₁₃, X₇: X₇ {O(n)}
t₁₁₃, X₈: X₈ {O(n)}
t₁₁₄, X₀: 4⋅X₀ {O(n)}
t₁₁₄, X₁: 8⋅X₀ {O(n)}
t₁₁₄, X₂: 16⋅X₀ {O(n)}
t₁₁₄, X₃: 26⋅X₃+40⋅X₀+19 {O(n)}
t₁₁₄, X₅: 4⋅X₅ {O(n)}
t₁₁₄, X₆: 4⋅X₆ {O(n)}
t₁₁₄, X₇: 4⋅X₇ {O(n)}
t₁₁₄, X₈: 4⋅X₈ {O(n)}
t₁₁₅, X₀: 8⋅X₀ {O(n)}
t₁₁₅, X₁: 16⋅X₀ {O(n)}
t₁₁₅, X₂: 32⋅X₀ {O(n)}
t₁₁₅, X₃: 39⋅X₃+58⋅X₀+28 {O(n)}
t₁₁₅, X₅: 8⋅X₅ {O(n)}
t₁₁₅, X₆: 8⋅X₆ {O(n)}
t₁₁₅, X₇: 8⋅X₇ {O(n)}
t₁₁₅, X₈: 8⋅X₈ {O(n)}
t₁₁₆, X₀: 8⋅X₀ {O(n)}
t₁₁₆, X₁: 16⋅X₀ {O(n)}
t₁₁₆, X₂: 32⋅X₀ {O(n)}
t₁₁₆, X₃: 39⋅X₃+58⋅X₀+28 {O(n)}
t₁₁₆, X₅: 8⋅X₅ {O(n)}
t₁₁₆, X₆: 8⋅X₆ {O(n)}
t₁₁₆, X₇: 8⋅X₇ {O(n)}
t₁₁₆, X₈: 8⋅X₈ {O(n)}
t₁₁₇, X₀: 8⋅X₀ {O(n)}
t₁₁₇, X₁: 16⋅X₀ {O(n)}
t₁₁₇, X₂: 32⋅X₀ {O(n)}
t₁₁₇, X₃: 39⋅X₃+58⋅X₀+28 {O(n)}
t₁₁₇, X₅: 8⋅X₅ {O(n)}
t₁₁₇, X₆: 8⋅X₆ {O(n)}
t₁₁₇, X₇: 0 {O(1)}
t₁₁₇, X₈: 8⋅X₈ {O(n)}
t₁₁₈, X₀: 16⋅X₀ {O(n)}
t₁₁₈, X₁: 32⋅X₀ {O(n)}
t₁₁₈, X₂: 64⋅X₀ {O(n)}
t₁₁₈, X₃: 116⋅X₀+78⋅X₃+56 {O(n)}
t₁₁₈, X₅: 16⋅X₅ {O(n)}
t₁₁₈, X₆: 16⋅X₆ {O(n)}
t₁₁₈, X₇: 16⋅X₇ {O(n)}
t₁₁₈, X₈: 16⋅X₈ {O(n)}
t₁₁₉, X₀: 48⋅X₀ {O(n)}
t₁₁₉, X₁: 96⋅X₀ {O(n)}
t₁₁₉, X₂: 192⋅X₀ {O(n)}
t₁₁₉, X₃: 1128⋅X₀+468⋅X₃+336 {O(n)}
t₁₁₉, X₅: 48⋅X₅ {O(n)}
t₁₁₉, X₆: 24⋅X₅+72⋅X₆+2 {O(n)}
t₁₁₉, X₇: 32⋅X₇ {O(n)}
t₁₁₉, X₈: 48⋅X₈+1 {O(n)}
t₁₂₀, X₀: 24⋅X₀ {O(n)}
t₁₂₀, X₁: 48⋅X₀ {O(n)}
t₁₂₀, X₂: 96⋅X₀ {O(n)}
t₁₂₀, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₀, X₅: 24⋅X₅ {O(n)}
t₁₂₀, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₀, X₇: 16⋅X₇ {O(n)}
t₁₂₀, X₈: 24⋅X₈+1 {O(n)}
t₁₂₁, X₀: 24⋅X₀ {O(n)}
t₁₂₁, X₁: 48⋅X₀ {O(n)}
t₁₂₁, X₂: 96⋅X₀ {O(n)}
t₁₂₁, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₁, X₅: 24⋅X₅ {O(n)}
t₁₂₁, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₁, X₇: 16⋅X₇ {O(n)}
t₁₂₁, X₈: 24⋅X₈+1 {O(n)}
t₁₂₂, X₀: 24⋅X₀ {O(n)}
t₁₂₂, X₁: 48⋅X₀ {O(n)}
t₁₂₂, X₂: 96⋅X₀ {O(n)}
t₁₂₂, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₂, X₅: 24⋅X₅ {O(n)}
t₁₂₂, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₂, X₇: 16⋅X₇ {O(n)}
t₁₂₂, X₈: 24⋅X₈+1 {O(n)}
t₁₂₃, X₀: 24⋅X₀ {O(n)}
t₁₂₃, X₁: 48⋅X₀ {O(n)}
t₁₂₃, X₂: 96⋅X₀ {O(n)}
t₁₂₃, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₃, X₅: 24⋅X₅ {O(n)}
t₁₂₃, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₃, X₇: 0 {O(1)}
t₁₂₃, X₈: 24⋅X₈+1 {O(n)}
t₁₂₄, X₀: 24⋅X₀ {O(n)}
t₁₂₄, X₁: 48⋅X₀ {O(n)}
t₁₂₄, X₂: 96⋅X₀ {O(n)}
t₁₂₄, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₄, X₅: 24⋅X₅ {O(n)}
t₁₂₄, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₄, X₇: 16⋅X₇ {O(n)}
t₁₂₄, X₈: 24⋅X₈+1 {O(n)}
t₁₂₆, X₀: 24⋅X₀ {O(n)}
t₁₂₆, X₁: 48⋅X₀ {O(n)}
t₁₂₆, X₂: 96⋅X₀ {O(n)}
t₁₂₆, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₆, X₅: 24⋅X₅ {O(n)}
t₁₂₆, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₆, X₇: 16⋅X₇ {O(n)}
t₁₂₆, X₈: 24⋅X₈+1 {O(n)}
t₁₂₇, X₀: 24⋅X₀ {O(n)}
t₁₂₇, X₁: 48⋅X₀ {O(n)}
t₁₂₇, X₂: 96⋅X₀ {O(n)}
t₁₂₇, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₇, X₅: 24⋅X₅ {O(n)}
t₁₂₇, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₇, X₇: 16⋅X₇ {O(n)}
t₁₂₇, X₈: 24⋅X₈+1 {O(n)}
t₁₂₈, X₀: 24⋅X₀ {O(n)}
t₁₂₈, X₁: 48⋅X₀ {O(n)}
t₁₂₈, X₂: 96⋅X₀ {O(n)}
t₁₂₈, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₈, X₅: 24⋅X₅ {O(n)}
t₁₂₈, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₈, X₇: 16⋅X₇ {O(n)}
t₁₂₈, X₈: 24⋅X₈+1 {O(n)}
t₁₂₉, X₀: 24⋅X₀ {O(n)}
t₁₂₉, X₁: 48⋅X₀ {O(n)}
t₁₂₉, X₂: 96⋅X₀ {O(n)}
t₁₂₉, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₂₉, X₅: 24⋅X₅ {O(n)}
t₁₂₉, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₂₉, X₇: 0 {O(1)}
t₁₂₉, X₈: 24⋅X₈+1 {O(n)}
t₁₃₀, X₀: 24⋅X₀ {O(n)}
t₁₃₀, X₁: 48⋅X₀ {O(n)}
t₁₃₀, X₂: 96⋅X₀ {O(n)}
t₁₃₀, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₀, X₅: 24⋅X₅ {O(n)}
t₁₃₀, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₀, X₇: 0 {O(1)}
t₁₃₀, X₈: 24⋅X₈+1 {O(n)}
t₁₃₂, X₀: 24⋅X₀ {O(n)}
t₁₃₂, X₁: 48⋅X₀ {O(n)}
t₁₃₂, X₂: 96⋅X₀ {O(n)}
t₁₃₂, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₂, X₅: 24⋅X₅ {O(n)}
t₁₃₂, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₂, X₇: 16⋅X₇ {O(n)}
t₁₃₂, X₈: 24⋅X₈+1 {O(n)}
t₁₃₃, X₀: 24⋅X₀ {O(n)}
t₁₃₃, X₁: 48⋅X₀ {O(n)}
t₁₃₃, X₂: 96⋅X₀ {O(n)}
t₁₃₃, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₃, X₅: 24⋅X₅ {O(n)}
t₁₃₃, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₃, X₇: 16⋅X₇ {O(n)}
t₁₃₃, X₈: 24⋅X₈+1 {O(n)}
t₁₃₄, X₀: 24⋅X₀ {O(n)}
t₁₃₄, X₁: 48⋅X₀ {O(n)}
t₁₃₄, X₂: 96⋅X₀ {O(n)}
t₁₃₄, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₄, X₅: 24⋅X₅ {O(n)}
t₁₃₄, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₄, X₇: 16⋅X₇ {O(n)}
t₁₃₄, X₈: 24⋅X₈+1 {O(n)}
t₁₃₅, X₀: 24⋅X₀ {O(n)}
t₁₃₅, X₁: 48⋅X₀ {O(n)}
t₁₃₅, X₂: 96⋅X₀ {O(n)}
t₁₃₅, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₅, X₄: 0 {O(1)}
t₁₃₅, X₅: 24⋅X₅ {O(n)}
t₁₃₅, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₅, X₇: 16⋅X₇ {O(n)}
t₁₃₅, X₈: 24⋅X₈+1 {O(n)}
t₁₃₆, X₀: 24⋅X₀ {O(n)}
t₁₃₆, X₁: 48⋅X₀ {O(n)}
t₁₃₆, X₂: 96⋅X₀ {O(n)}
t₁₃₆, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₆, X₅: 24⋅X₅ {O(n)}
t₁₃₆, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₆, X₇: 16⋅X₇ {O(n)}
t₁₃₆, X₈: 24⋅X₈+1 {O(n)}
t₁₃₇, X₀: 24⋅X₀ {O(n)}
t₁₃₇, X₁: 48⋅X₀ {O(n)}
t₁₃₇, X₂: 96⋅X₀ {O(n)}
t₁₃₇, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₇, X₅: 24⋅X₅ {O(n)}
t₁₃₇, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₇, X₇: 16⋅X₇ {O(n)}
t₁₃₇, X₈: 24⋅X₈+1 {O(n)}
t₁₃₈, X₀: 24⋅X₀ {O(n)}
t₁₃₈, X₁: 48⋅X₀ {O(n)}
t₁₃₈, X₂: 96⋅X₀ {O(n)}
t₁₃₈, X₃: 351⋅X₃+954⋅X₀+252 {O(n)}
t₁₃₈, X₅: 24⋅X₅ {O(n)}
t₁₃₈, X₆: 24⋅X₅+48⋅X₆+2 {O(n)}
t₁₃₈, X₇: 16⋅X₇ {O(n)}
t₁₃₈, X₈: 24⋅X₈+1 {O(n)}