KoAT2 Proof Output

Initial Problem

Start: eval_f_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈
Temp_Vars: nondef.0, nondef.1, nondef.2, nondef.3
Locations: eval_f_0, eval_f_1, eval_f_2, eval_f_4, eval_f_5, eval_f_7, eval_f_8, eval_f_bb0_in, eval_f_bb1_in, eval_f_bb2_in, eval_f_bb3_in, eval_f_bb4_in, eval_f_bb5_in, eval_f_bb6_in, eval_f_bb7_in, eval_f_bb8_in, eval_f_bb9_in, eval_f_start, eval_f_stop
Transitions:
t₃: eval_f_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_1(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₅: eval_f_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.1, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₆: eval_f_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb1_in(X₆, X₁₄, X₇, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁₄: eval_f_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, nondef.2, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁₅: eval_f_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb1_in(X₉, X₁, X₁₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₂: eval_f_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.3, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₃: eval_f_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb1_in(X₀, X₁₁, X₈, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁: eval_f_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₇: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₈: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₀ ≤ 0
t₉: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 4 ≤ X₀
t₁₀: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 1+X₂ ≤ 0
t₁₁: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 1 ≤ X₂
t₁₂: eval_f_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₀, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁₆: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁
t₁₇: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb5_in(X₀, X₁, X₂, X₁₇, X₁₈, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₁ ≤ 1
t₁₈: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb5_in(X₀, X₁, X₂, X₁₇, X₁₈, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₂ ≤ 0
t₁₉: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb5_in(X₀, X₁, X₂, X₁₇, X₁₈, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 2 ≤ X₂
t₂₀: eval_f_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₄: eval_f_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 1+X₄ ≤ X₃ ∧ 1 ≤ X₄
t₂₅: eval_f_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₃ ≤ X₄
t₂₆: eval_f_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₄ ≤ 0
t₂₇: eval_f_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb5_in(X₀, X₁, X₂, 2⋅X₃, 3⋅X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₈: eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 1 ≤ X₅
t₂₉: eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₅ ≤ 0
t₃₀: eval_f_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅-1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₃₁: eval_f_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₀: eval_f_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_f_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)

Preprocessing

Eliminate variables [X₁₂; X₁₃; X₁₅; X₁₆] that do not contribute to the problem

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb9_in

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb1_in

Found invariant X₆ ≤ X₀ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₂+X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₁ ≤ X₁₂ ∧ 2 ≤ X₁ for location eval_f_bb4_in

Found invariant X₉ ≤ 4 ∧ X₆+X₉ ≤ 7 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 1+X₀ ∧ X₀+X₉ ≤ 7 ∧ 2 ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₆ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 6 ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₂ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location eval_f_4

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb7_in

Found invariant X₆ ≤ X₀ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb5_in

Found invariant X₆ ≤ X₀ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁₂ ∧ X₂ ≤ X₁₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₂+X₁₂ ∧ 2 ≤ X₂+X₁₁ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁₂ ∧ 3 ≤ X₁₁+X₁₂ ∧ 1+X₁₁ ≤ X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₁ ≤ X₁₂ ∧ 1+X₁₁ ≤ X₁ ∧ 1 ≤ X₁₁ ∧ 3 ≤ X₁+X₁₁ ∧ X₁ ≤ 1+X₁₁ ∧ 2 ≤ X₁ for location eval_f_8

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb3_in

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb8_in

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_stop

Found invariant X₆ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 6 ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₂ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location eval_f_bb2_in

Found invariant X₆ ≤ X₀ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ X₁₄ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₁₄ ≤ X₃ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb6_in

Problem after Preprocessing

MPRF for transition t₆₅: eval_f_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.3, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₁ ≤ 1+X₁₁ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₁ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₂ ∧ 1 ≤ X₁₁ ∧ 1+X₁₁ ≤ X₁₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₁ ∧ 2 ≤ X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₁ ∧ 3 ≤ X₂+X₁₂ ∧ 3 ≤ X₁₁+X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₂ ≤ X₁₁ of depth 1:

new bound:

X₁₂+1 {O(n)}

MPRF:

• eval_f_4: [X₁-1]
• eval_f_5: [X₁-1]
• eval_f_7: [X₁-1]
• eval_f_8: [X₁₁-1]
• eval_f_bb1_in: [X₁-1]
• eval_f_bb2_in: [X₁-1]
• eval_f_bb3_in: [X₁-1]
• eval_f_bb4_in: [X₁-X₂]

MPRF for transition t₆₆: eval_f_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb1_in(X₀, X₁₁, X₈, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₁ ≤ 1+X₁₁ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₁ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₂ ∧ 1 ≤ X₁₁ ∧ 1+X₁₁ ≤ X₁₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₁ ∧ 2 ≤ X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₁ ∧ 3 ≤ X₂+X₁₂ ∧ 3 ≤ X₁₁+X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₂ ≤ X₁₁ of depth 1:

new bound:

X₁₂+1 {O(n)}

MPRF:

• eval_f_4: [X₁-1]
• eval_f_5: [X₁-1]
• eval_f_7: [X₁-1]
• eval_f_8: [X₁₁]
• eval_f_bb1_in: [X₁-1]
• eval_f_bb2_in: [X₁-1]
• eval_f_bb3_in: [X₁-1]
• eval_f_bb4_in: [X₁-1]

MPRF for transition t₇₄: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ of depth 1:

new bound:

X₁₂+1 {O(n)}

MPRF:

• eval_f_4: [1+X₁]
• eval_f_5: [1+X₁]
• eval_f_7: [X₁]
• eval_f_8: [X₁]
• eval_f_bb1_in: [1+X₁]
• eval_f_bb2_in: [1+X₁]
• eval_f_bb3_in: [1+X₁]
• eval_f_bb4_in: [X₁]

MPRF for transition t₇₈: eval_f_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁-1, X₁₂, X₁₃, X₁₄) :|: X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ of depth 1:

new bound:

X₁₂+1 {O(n)}

MPRF:

• eval_f_4: [X₁-1]
• eval_f_5: [X₁-1]
• eval_f_7: [X₁-2]
• eval_f_8: [X₁-2]
• eval_f_bb1_in: [X₁-1]
• eval_f_bb2_in: [X₁-1]
• eval_f_bb3_in: [X₁-1]
• eval_f_bb4_in: [X₁-1]

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₆₉: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂

MPRF for transition t₇₀: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 4 ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ of depth 1:

new bound:

X₁₂+2 {O(n)}

MPRF:

• eval_f_4: [1]
• eval_f_5: [1]
• eval_f_7: [1]
• eval_f_8: [1]
• eval_f_bb1_in: [1]
• eval_f_bb2_in: [1]
• eval_f_bb3_in: [0]
• eval_f_bb4_in: [0]

MPRF for transition t₇₁: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₂ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ of depth 1:

new bound:

X₁₂+2 {O(n)}

MPRF:

• eval_f_4: [1]
• eval_f_5: [1]
• eval_f_7: [1]
• eval_f_8: [1]
• eval_f_bb1_in: [1]
• eval_f_bb2_in: [1]
• eval_f_bb3_in: [0]
• eval_f_bb4_in: [0]

MPRF for transition t₇₂: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ of depth 1:

new bound:

X₁₂+2 {O(n)}

MPRF:

• eval_f_4: [1]
• eval_f_5: [1]
• eval_f_7: [1]
• eval_f_8: [1]
• eval_f_bb1_in: [1]
• eval_f_bb2_in: [1]
• eval_f_bb3_in: [0]
• eval_f_bb4_in: [0]

Found invariant X₆ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 6 ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₂ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location eval_f_bb2_in_v1

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb9_in

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb1_in

Found invariant X₉ ≤ 3 ∧ X₆+X₉ ≤ 5 ∧ X₉ ≤ 3+X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 3+X₁₀ ∧ X₉+X₁₀ ≤ 3 ∧ X₉ ≤ X₀ ∧ X₀+X₉ ≤ 6 ∧ 2 ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2+X₁₀ ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2+X₁₀ ∧ X₆+X₁₀ ≤ 2 ∧ 1+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 5 ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 0 ∧ 2+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₀ ∧ X₁₀ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ 0 ∧ 2+X₁₀ ≤ X₀ ∧ X₀+X₁₀ ≤ 3 ∧ 0 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ X₀ ≤ 3+X₁₀ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location eval_f_bb2_in_v2

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb7_in

Found invariant X₆ ≤ X₀ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb5_in

Found invariant X₉ ≤ 4 ∧ X₆+X₉ ≤ 6 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 1+X₀ ∧ X₀+X₉ ≤ 7 ∧ 3 ≤ X₉ ∧ 2+X₆ ≤ X₉ ∧ 3 ≤ X₂+X₉ ∧ 3+X₂ ≤ X₉ ∧ 5 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ 1+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 5 ∧ X₂ ≤ 0 ∧ 2+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₂ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location eval_f_5_v2

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb3_in

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb8_in

Found invariant X₉ ≤ 4 ∧ X₆+X₉ ≤ 7 ∧ X₉ ≤ X₀ ∧ X₀+X₉ ≤ 8 ∧ 2 ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₆ ≤ 3 ∧ 1+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 7 ∧ X₂ ≤ X₁₀ ∧ X₁₀ ≤ X₂ ∧ X₁ ≤ X₁₂ ∧ X₀ ≤ 4 ∧ 2 ≤ X₀ for location eval_f_bb1_in_v1

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_stop

Found invariant X₉ ≤ 4 ∧ X₆+X₉ ≤ 6 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4+X₁₀ ∧ X₉+X₁₀ ≤ 4 ∧ X₉ ≤ 1+X₀ ∧ X₀+X₉ ≤ 7 ∧ 3 ≤ X₉ ∧ 2+X₆ ≤ X₉ ∧ 3 ≤ X₂+X₉ ∧ 3+X₂ ≤ X₉ ∧ 3 ≤ X₉+X₁₀ ∧ 3+X₁₀ ≤ X₉ ∧ 5 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2+X₁₀ ∧ X₆+X₁₀ ≤ 2 ∧ 1+X₆ ≤ X₀ ∧ X₀+X₆ ≤ 5 ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 0 ∧ 2+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₀ ∧ X₁₀ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ 0 ∧ 2+X₁₀ ≤ X₀ ∧ X₀+X₁₀ ≤ 3 ∧ 0 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ X₀ ≤ 3+X₁₀ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location eval_f_4_v2

Analysing control-flow refined program

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₅₈: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₅₉: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₂ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₆₀: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 4 ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₆₁: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₆₂: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₆₃: eval_f_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₀, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₆ ≤ 6 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₆₄: eval_f_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, nondef.2, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₁₂+2 {O(n)} for transition t₁₆₅: eval_f_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb1_in_v1(X₉, X₁, X₁₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

MPRF for transition t₁₆₆: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₂ ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀ of depth 1:

new bound:

X₁₂+2 {O(n)}

MPRF:

• eval_f_4_v1: [5-3⋅X₀-X₉]
• eval_f_4_v2: [1]
• eval_f_5_v1: [5-3⋅X₀-X₉]
• eval_f_5_v2: [1]
• eval_f_7: [0]
• eval_f_8: [0]
• eval_f_bb1_in: [0]
• eval_f_bb1_in_v1: [1]
• eval_f_bb2_in_v1: [4-4⋅X₀]
• eval_f_bb2_in_v2: [1]
• eval_f_bb3_in: [0]
• eval_f_bb4_in: [0]

MPRF for transition t₁₆₇: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₂ ≤ 0 ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀ of depth 1:

new bound:

X₁₂+2 {O(n)}

MPRF:

• eval_f_4_v1: [1+X₀-X₉]
• eval_f_4_v2: [1]
• eval_f_5_v1: [1+X₀-X₉]
• eval_f_5_v2: [1]
• eval_f_7: [0]
• eval_f_8: [0]
• eval_f_bb1_in: [0]
• eval_f_bb1_in_v1: [1]
• eval_f_bb2_in_v1: [0]
• eval_f_bb2_in_v2: [1]
• eval_f_bb3_in: [0]
• eval_f_bb4_in: [0]

MPRF for transition t₁₆₈: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 4 ≤ X₀ ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀ of depth 1:

new bound:

9⋅X₁₂+18 {O(n)}

MPRF:

• eval_f_4_v1: [0]
• eval_f_4_v2: [5-X₀]
• eval_f_5_v1: [0]
• eval_f_5_v2: [5-X₀]
• eval_f_7: [0]
• eval_f_8: [0]
• eval_f_bb1_in: [0]
• eval_f_bb1_in_v1: [5-X₀]
• eval_f_bb2_in_v1: [0]
• eval_f_bb2_in_v2: [5-X₀]
• eval_f_bb3_in: [0]
• eval_f_bb4_in: [0]

MPRF for transition t₁₆₉: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀ of depth 1:

new bound:

9⋅X₁₂+19 {O(n)}

MPRF:

• eval_f_4_v1: [1]
• eval_f_4_v2: [4-X₀]
• eval_f_5_v1: [2⋅X₀-1-X₉]
• eval_f_5_v2: [4⋅X₉-5⋅X₀]
• eval_f_7: [1]
• eval_f_8: [1]
• eval_f_bb1_in: [1]
• eval_f_bb1_in_v1: [5-X₉]
• eval_f_bb2_in_v1: [1]
• eval_f_bb2_in_v2: [4-X₉]
• eval_f_bb3_in: [1]
• eval_f_bb4_in: [1]

MPRF for transition t₁₇₀: eval_f_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₀, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₆ ≤ 6 ∧ X₀+X₉ ≤ 6 ∧ X₀+X₆ ≤ 5 ∧ X₆+X₉ ≤ 5 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₀ ∧ X₀+X₁₀ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₉ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₂+X₉ ≤ 3 ∧ X₆ ≤ 3 ∧ X₉ ≤ 3 ∧ X₉ ≤ 3+X₁₀ ∧ X₉+X₁₀ ≤ 3 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₁₀ ∧ X₆+X₁₀ ≤ 2 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₀ ∧ 2+X₁₀ ≤ X₀ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2+X₁₀ ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₀ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 0 ∧ 0 ≤ X₁₀ ∧ X₁₀ ≤ 0 of depth 1:

new bound:

30⋅X₁₂+66 {O(n)}

MPRF:

• eval_f_4_v1: [6]
• eval_f_4_v2: [17-3⋅X₀]
• eval_f_5_v1: [6]
• eval_f_5_v2: [18-3⋅X₉]
• eval_f_7: [6]
• eval_f_8: [6]
• eval_f_bb1_in: [6]
• eval_f_bb1_in_v1: [18-3⋅X₉]
• eval_f_bb2_in_v1: [6]
• eval_f_bb2_in_v2: [18-3⋅X₉]
• eval_f_bb3_in: [6]
• eval_f_bb4_in: [6]

MPRF for transition t₁₇₁: eval_f_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, nondef.2, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₆+X₉ ≤ 6 ∧ X₀+X₆ ≤ 5 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₉ ≤ 4+X₁₀ ∧ X₉+X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₀ ∧ X₀+X₁₀ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₁₀ ∧ X₆+X₁₀ ≤ 2 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₀ ∧ 2+X₁₀ ≤ X₀ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2+X₆ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ 3 ≤ X₂+X₉ ∧ 3+X₂ ≤ X₉ ∧ 3 ≤ X₉ ∧ 3 ≤ X₉+X₁₀ ∧ 3+X₁₀ ≤ X₉ ∧ 5 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₀ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 0 ∧ 0 ≤ X₁₀ ∧ X₁₀ ≤ 0 of depth 1:

new bound:

12⋅X₁₂+28 {O(n)}

MPRF:

• eval_f_4_v1: [4]
• eval_f_4_v2: [9-X₉]
• eval_f_5_v1: [6+2⋅X₀-2⋅X₉]
• eval_f_5_v2: [8-X₉]
• eval_f_7: [4]
• eval_f_8: [4]
• eval_f_bb1_in: [4]
• eval_f_bb1_in_v1: [8-X₀]
• eval_f_bb2_in_v1: [4]
• eval_f_bb2_in_v2: [8-X₀]
• eval_f_bb3_in: [4]
• eval_f_bb4_in: [4]

MPRF for transition t₁₇₂: eval_f_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb1_in_v1(X₉, X₁, X₁₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₆+X₉ ≤ 6 ∧ X₀+X₆ ≤ 5 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2+X₆ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ 3 ≤ X₂+X₉ ∧ 3+X₂ ≤ X₉ ∧ 3 ≤ X₉ ∧ 5 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 of depth 1:

new bound:

30⋅X₁₂+66 {O(n)}

MPRF:

• eval_f_4_v1: [6]
• eval_f_4_v2: [21-3⋅X₉]
• eval_f_5_v1: [6]
• eval_f_5_v2: [12-X₀]
• eval_f_7: [6]
• eval_f_8: [6]
• eval_f_bb1_in: [6]
• eval_f_bb1_in_v1: [18-3⋅X₉]
• eval_f_bb2_in_v1: [6]
• eval_f_bb2_in_v2: [18-3⋅X₀]
• eval_f_bb3_in: [6]
• eval_f_bb4_in: [6]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

cfr-program:

Start: eval_f_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄
Temp_Vars: nondef.0, nondef.1, nondef.2, nondef.3
Locations: eval_f_0, eval_f_1, eval_f_2, eval_f_4_v1, eval_f_4_v2, eval_f_5_v1, eval_f_5_v2, eval_f_7, eval_f_8, eval_f_bb0_in, eval_f_bb1_in, eval_f_bb1_in_v1, eval_f_bb2_in_v1, eval_f_bb2_in_v2, eval_f_bb3_in, eval_f_bb4_in, eval_f_bb5_in, eval_f_bb6_in, eval_f_bb7_in, eval_f_bb8_in, eval_f_bb9_in, eval_f_start, eval_f_stop
Transitions:
t₆₀: eval_f_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_1(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄)
t₆₁: eval_f_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.1, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄)
t₆₂: eval_f_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb1_in(X₆, X₁₂, X₇, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄)
t₁₆₄: eval_f_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, nondef.2, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₇₁: eval_f_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, nondef.2, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₆+X₉ ≤ 6 ∧ X₀+X₆ ≤ 5 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₉ ≤ 4+X₁₀ ∧ X₉+X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₀ ∧ X₀+X₁₀ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₁₀ ∧ X₆+X₁₀ ≤ 2 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₀ ∧ 2+X₁₀ ≤ X₀ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2+X₆ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ 3 ≤ X₂+X₉ ∧ 3+X₂ ≤ X₉ ∧ 3 ≤ X₉ ∧ 3 ≤ X₉+X₁₀ ∧ 3+X₁₀ ≤ X₉ ∧ 5 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₀ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 0 ∧ 0 ≤ X₁₀ ∧ X₁₀ ≤ 0
t₁₆₅: eval_f_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb1_in_v1(X₉, X₁, X₁₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₇₂: eval_f_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb1_in_v1(X₉, X₁, X₁₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₉ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀+X₆ ≤ 6 ∧ X₆+X₉ ≤ 6 ∧ X₀+X₆ ≤ 5 ∧ X₉ ≤ 4+X₂ ∧ X₂+X₉ ≤ 4 ∧ X₉ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2+X₆ ≤ X₉ ∧ 2 ≤ X₉ ∧ 3 ≤ X₀+X₉ ∧ 3 ≤ X₂+X₉ ∧ 3+X₂ ≤ X₉ ∧ 3 ≤ X₉ ∧ 5 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₆₅: eval_f_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.3, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₁ ≤ 1+X₁₁ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₁ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₂ ∧ 1 ≤ X₁₁ ∧ 1+X₁₁ ≤ X₁₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₁ ∧ 2 ≤ X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₁ ∧ 3 ≤ X₂+X₁₂ ∧ 3 ≤ X₁₁+X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₂ ≤ X₁₁
t₆₆: eval_f_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb1_in(X₀, X₁₁, X₈, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₁ ≤ 1+X₁₁ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₁ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₂ ∧ 1 ≤ X₁₁ ∧ 1+X₁₁ ≤ X₁₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₁ ∧ 2 ≤ X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₁ ∧ 3 ≤ X₂+X₁₂ ∧ 3 ≤ X₁₁+X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₂ ≤ X₁₁
t₆₇: eval_f_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄)
t₁₆₂: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₆₉: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₀: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 4 ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₁: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₂ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₂: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₁₅₈: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₁₅₉: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₂ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₁₆₀: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 4 ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₁₆₁: eval_f_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₁₆₉: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀
t₁₆₆: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₂ ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀
t₁₆₇: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₂ ≤ 0 ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀
t₁₆₈: eval_f_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 4 ≤ X₀ ∧ X₀+X₉ ≤ 8 ∧ X₀+X₆ ≤ 7 ∧ X₆+X₉ ≤ 7 ∧ X₀ ≤ 4 ∧ X₉ ≤ 4 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ X₁₀
t₁₆₃: eval_f_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₀, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₆ ≤ 6 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 3 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₇₀: eval_f_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1+X₀, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₀+X₆ ≤ 6 ∧ X₀+X₉ ≤ 6 ∧ X₀+X₆ ≤ 5 ∧ X₆+X₉ ≤ 5 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₀ ∧ X₀+X₁₀ ≤ 3 ∧ X₆ ≤ 3+X₂ ∧ X₉ ≤ 3+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₂+X₉ ≤ 3 ∧ X₆ ≤ 3 ∧ X₉ ≤ 3 ∧ X₉ ≤ 3+X₁₀ ∧ X₉+X₁₀ ≤ 3 ∧ X₆ ≤ 2+X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₁₀ ∧ X₆+X₁₀ ≤ 2 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₆ ≤ X₀ ∧ 1+X₆ ≤ X₉ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₀ ∧ 2+X₁₀ ≤ X₀ ∧ 2 ≤ X₂+X₉ ∧ 2+X₂ ≤ X₉ ∧ 2 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2+X₁₀ ≤ X₉ ∧ 4 ≤ X₀+X₉ ∧ X₆ ≤ X₀ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₉ ∧ X₁ ≤ X₁₂ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₀ ∧ X₁₀ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 0 ∧ 0 ≤ X₁₀ ∧ X₁₀ ≤ 0
t₇₄: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₅: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₁ ≤ 1 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₆: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₂ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₇: eval_f_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 2 ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₈: eval_f_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁-1, X₁₂, X₁₃, X₁₄) :|: X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₁₂ ∧ 4 ≤ X₁+X₁₂ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂
t₇₉: eval_f_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₁₄ ≤ X₄
t₈₀: eval_f_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₃ ≤ X₄ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₁₄ ≤ X₄
t₈₁: eval_f_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₄, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₄ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₁₄ ≤ X₄
t₈₂: eval_f_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb5_in(X₀, X₁, X₂, 2⋅X₃, 3⋅X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1+X₄ ≤ X₃ ∧ 1+X₁₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₄ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₁₄ ≤ X₄
t₈₃: eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₅ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄
t₈₄: eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₅ ≤ 0 ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄
t₈₅: eval_f_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅-1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄
t₈₆: eval_f_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) :|: X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ ∧ X₁₃ ≤ X₃ ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₅ ≤ 0
t₈₇: eval_f_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄) → eval_f_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄)

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb9_in

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb1_in

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb7_in

Found invariant X₆ ≤ X₀ ∧ X₄ ≤ X₁₄ ∧ X₁₄ ≤ X₄ ∧ X₃ ≤ X₁₃ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb5_in

Found invariant X₆ ≤ X₀ ∧ 1+X₄ ≤ X₃ ∧ X₄ ≤ X₁₄ ∧ 1+X₄ ≤ X₁₃ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₄+X₁₄ ∧ X₁₄ ≤ X₄ ∧ 3 ≤ X₄+X₁₃ ∧ X₃ ≤ X₁₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₁₄ ∧ 1+X₁₄ ≤ X₃ ∧ 4 ≤ X₃+X₁₃ ∧ X₁₃ ≤ X₃ ∧ 1+X₁₄ ≤ X₁₃ ∧ 1 ≤ X₁₄ ∧ 3 ≤ X₁₃+X₁₄ ∧ 2 ≤ X₁₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb6_in_v1

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb3_in

Found invariant X₆ ≤ X₀ ∧ 1+X₄ ≤ X₃ ∧ 3 ≤ X₄ ∧ 7 ≤ X₃+X₄ ∧ 4 ≤ X₄+X₁₄ ∧ 2+X₁₄ ≤ X₄ ∧ 5 ≤ X₄+X₁₃ ∧ 4 ≤ X₃ ∧ 5 ≤ X₃+X₁₄ ∧ 3+X₁₄ ≤ X₃ ∧ 6 ≤ X₃+X₁₃ ∧ 2+X₁₃ ≤ X₃ ∧ 1+X₁₄ ≤ X₁₃ ∧ 1 ≤ X₁₄ ∧ 3 ≤ X₁₃+X₁₄ ∧ 2 ≤ X₁₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb6_in_v2

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb8_in

Found invariant X₆ ≤ X₀ ∧ 3 ≤ X₄ ∧ 7 ≤ X₃+X₄ ∧ 4 ≤ X₄+X₁₄ ∧ 2+X₁₄ ≤ X₄ ∧ 5 ≤ X₄+X₁₃ ∧ 4 ≤ X₃ ∧ 5 ≤ X₃+X₁₄ ∧ 3+X₁₄ ≤ X₃ ∧ 6 ≤ X₃+X₁₃ ∧ 2+X₁₃ ≤ X₃ ∧ 1+X₁₄ ≤ X₁₃ ∧ 1 ≤ X₁₄ ∧ 3 ≤ X₁₃+X₁₄ ∧ 2 ≤ X₁₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb5_in_v1

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_stop

Found invariant X₆ ≤ X₀ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb8_in_v2

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb9_in

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb1_in

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₁₄ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb7_in

Found invariant X₆ ≤ X₀ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb5_in

Found invariant X₆ ≤ X₀ ∧ 1+X₅ ≤ X₄ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb7_in_v1

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ X₁₄ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_bb8_in_v1

Found invariant X₆ ≤ X₀ ∧ X₁ ≤ X₁₂ for location eval_f_bb3_in

Found invariant X₆ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₂ for location eval_f_stop

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₆₀: 1 {O(1)}
t₆₁: 1 {O(1)}
t₆₂: 1 {O(1)}
t₆₅: X₁₂+1 {O(n)}
t₆₆: X₁₂+1 {O(n)}
t₆₇: 1 {O(1)}
t₆₉: X₁₂+2 {O(n)}
t₇₀: X₁₂+2 {O(n)}
t₇₁: X₁₂+2 {O(n)}
t₇₂: X₁₂+2 {O(n)}
t₇₄: X₁₂+1 {O(n)}
t₇₅: 1 {O(1)}
t₇₆: 1 {O(1)}
t₇₇: 1 {O(1)}
t₇₈: X₁₂+1 {O(n)}
t₇₉: inf {Infinity}
t₈₀: 1 {O(1)}
t₈₁: 1 {O(1)}
t₈₂: inf {Infinity}
t₈₃: inf {Infinity}
t₈₄: 1 {O(1)}
t₈₅: inf {Infinity}
t₈₆: 1 {O(1)}
t₈₇: 1 {O(1)}
t₁₅₈: X₁₂+2 {O(n)}
t₁₅₉: X₁₂+2 {O(n)}
t₁₆₀: X₁₂+2 {O(n)}
t₁₆₁: X₁₂+2 {O(n)}
t₁₆₂: X₁₂+2 {O(n)}
t₁₆₃: X₁₂+2 {O(n)}
t₁₆₄: X₁₂+2 {O(n)}
t₁₆₅: X₁₂+2 {O(n)}
t₁₆₆: X₁₂+2 {O(n)}
t₁₆₇: X₁₂+2 {O(n)}
t₁₆₈: 9⋅X₁₂+18 {O(n)}
t₁₆₉: 9⋅X₁₂+19 {O(n)}
t₁₇₀: 30⋅X₁₂+66 {O(n)}
t₁₇₁: 12⋅X₁₂+28 {O(n)}
t₁₇₂: 30⋅X₁₂+66 {O(n)}

Costbounds

Overall costbound: inf {Infinity}
t₆₀: 1 {O(1)}
t₆₁: 1 {O(1)}
t₆₂: 1 {O(1)}
t₆₅: X₁₂+1 {O(n)}
t₆₆: X₁₂+1 {O(n)}
t₆₇: 1 {O(1)}
t₆₉: X₁₂+2 {O(n)}
t₇₀: X₁₂+2 {O(n)}
t₇₁: X₁₂+2 {O(n)}
t₇₂: X₁₂+2 {O(n)}
t₇₄: X₁₂+1 {O(n)}
t₇₅: 1 {O(1)}
t₇₆: 1 {O(1)}
t₇₇: 1 {O(1)}
t₇₈: X₁₂+1 {O(n)}
t₇₉: inf {Infinity}
t₈₀: 1 {O(1)}
t₈₁: 1 {O(1)}
t₈₂: inf {Infinity}
t₈₃: inf {Infinity}
t₈₄: 1 {O(1)}
t₈₅: inf {Infinity}
t₈₆: 1 {O(1)}
t₈₇: 1 {O(1)}
t₁₅₈: X₁₂+2 {O(n)}
t₁₅₉: X₁₂+2 {O(n)}
t₁₆₀: X₁₂+2 {O(n)}
t₁₆₁: X₁₂+2 {O(n)}
t₁₆₂: X₁₂+2 {O(n)}
t₁₆₃: X₁₂+2 {O(n)}
t₁₆₄: X₁₂+2 {O(n)}
t₁₆₅: X₁₂+2 {O(n)}
t₁₆₆: X₁₂+2 {O(n)}
t₁₆₇: X₁₂+2 {O(n)}
t₁₆₈: 9⋅X₁₂+18 {O(n)}
t₁₆₉: 9⋅X₁₂+19 {O(n)}
t₁₇₀: 30⋅X₁₂+66 {O(n)}
t₁₇₁: 12⋅X₁₂+28 {O(n)}
t₁₇₂: 30⋅X₁₂+66 {O(n)}

Sizebounds

t₆₀, X₀: X₀ {O(n)}
t₆₀, X₁: X₁ {O(n)}
t₆₀, X₂: X₂ {O(n)}
t₆₀, X₃: X₃ {O(n)}
t₆₀, X₄: X₄ {O(n)}
t₆₀, X₅: X₅ {O(n)}
t₆₀, X₇: X₇ {O(n)}
t₆₀, X₈: X₈ {O(n)}
t₆₀, X₉: X₉ {O(n)}
t₆₀, X₁₀: X₁₀ {O(n)}
t₆₀, X₁₁: X₁₁ {O(n)}
t₆₀, X₁₂: X₁₂ {O(n)}
t₆₀, X₁₃: X₁₃ {O(n)}
t₆₀, X₁₄: X₁₄ {O(n)}
t₆₁, X₀: X₀ {O(n)}
t₆₁, X₁: X₁ {O(n)}
t₆₁, X₂: X₂ {O(n)}
t₆₁, X₃: X₃ {O(n)}
t₆₁, X₄: X₄ {O(n)}
t₆₁, X₅: X₅ {O(n)}
t₆₁, X₈: X₈ {O(n)}
t₆₁, X₉: X₉ {O(n)}
t₆₁, X₁₀: X₁₀ {O(n)}
t₆₁, X₁₁: X₁₁ {O(n)}
t₆₁, X₁₂: X₁₂ {O(n)}
t₆₁, X₁₃: X₁₃ {O(n)}
t₆₁, X₁₄: X₁₄ {O(n)}
t₆₂, X₁: X₁₂ {O(n)}
t₆₂, X₃: X₃ {O(n)}
t₆₂, X₄: X₄ {O(n)}
t₆₂, X₅: X₅ {O(n)}
t₆₂, X₈: X₈ {O(n)}
t₆₂, X₉: X₉ {O(n)}
t₆₂, X₁₀: X₁₀ {O(n)}
t₆₂, X₁₁: X₁₁ {O(n)}
t₆₂, X₁₂: X₁₂ {O(n)}
t₆₂, X₁₃: X₁₃ {O(n)}
t₆₂, X₁₄: X₁₄ {O(n)}
t₆₅, X₁: X₁₂ {O(n)}
t₆₅, X₂: 1 {O(1)}
t₆₅, X₃: X₃ {O(n)}
t₆₅, X₄: X₄ {O(n)}
t₆₅, X₅: X₅ {O(n)}
t₆₅, X₉: X₉+4 {O(n)}
t₆₅, X₁₁: X₁₂ {O(n)}
t₆₅, X₁₂: X₁₂ {O(n)}
t₆₅, X₁₃: X₁₃ {O(n)}
t₆₅, X₁₄: X₁₄ {O(n)}
t₆₆, X₁: X₁₂ {O(n)}
t₆₆, X₃: X₃ {O(n)}
t₆₆, X₄: X₄ {O(n)}
t₆₆, X₅: X₅ {O(n)}
t₆₆, X₉: X₉+4 {O(n)}
t₆₆, X₁₁: X₁₂ {O(n)}
t₆₆, X₁₂: X₁₂ {O(n)}
t₆₆, X₁₃: X₁₃ {O(n)}
t₆₆, X₁₄: X₁₄ {O(n)}
t₆₇, X₀: X₀ {O(n)}
t₆₇, X₁: X₁ {O(n)}
t₆₇, X₂: X₂ {O(n)}
t₆₇, X₃: X₃ {O(n)}
t₆₇, X₄: X₄ {O(n)}
t₆₇, X₅: X₅ {O(n)}
t₆₇, X₆: X₆ {O(n)}
t₆₇, X₇: X₇ {O(n)}
t₆₇, X₈: X₈ {O(n)}
t₆₇, X₉: X₉ {O(n)}
t₆₇, X₁₀: X₁₀ {O(n)}
t₆₇, X₁₁: X₁₁ {O(n)}
t₆₇, X₁₂: X₁₂ {O(n)}
t₆₇, X₁₃: X₁₃ {O(n)}
t₆₇, X₁₄: X₁₄ {O(n)}
t₆₉, X₁: X₁₂ {O(n)}
t₆₉, X₃: X₃ {O(n)}
t₆₉, X₄: X₄ {O(n)}
t₆₉, X₅: X₅ {O(n)}
t₆₉, X₉: X₉+4 {O(n)}
t₆₉, X₁₁: X₁₁+X₁₂ {O(n)}
t₆₉, X₁₂: X₁₂ {O(n)}
t₆₉, X₁₃: X₁₃ {O(n)}
t₆₉, X₁₄: X₁₄ {O(n)}
t₇₀, X₁: X₁₂ {O(n)}
t₇₀, X₃: X₃ {O(n)}
t₇₀, X₄: X₄ {O(n)}
t₇₀, X₅: X₅ {O(n)}
t₇₀, X₉: X₉+4 {O(n)}
t₇₀, X₁₁: X₁₁+X₁₂ {O(n)}
t₇₀, X₁₂: X₁₂ {O(n)}
t₇₀, X₁₃: X₁₃ {O(n)}
t₇₀, X₁₄: X₁₄ {O(n)}
t₇₁, X₁: 3⋅X₁₂ {O(n)}
t₇₁, X₃: 3⋅X₃ {O(n)}
t₇₁, X₄: 3⋅X₄ {O(n)}
t₇₁, X₅: 3⋅X₅ {O(n)}
t₇₁, X₉: 2⋅X₉+8 {O(n)}
t₇₁, X₁₁: X₁₁+X₁₂ {O(n)}
t₇₁, X₁₂: 3⋅X₁₂ {O(n)}
t₇₁, X₁₃: 3⋅X₁₃ {O(n)}
t₇₁, X₁₄: 3⋅X₁₄ {O(n)}
t₇₂, X₁: X₁₂ {O(n)}
t₇₂, X₃: X₃ {O(n)}
t₇₂, X₄: X₄ {O(n)}
t₇₂, X₅: X₅ {O(n)}
t₇₂, X₉: X₉+4 {O(n)}
t₇₂, X₁₁: X₁₁+X₁₂ {O(n)}
t₇₂, X₁₂: X₁₂ {O(n)}
t₇₂, X₁₃: X₁₃ {O(n)}
t₇₂, X₁₄: X₁₄ {O(n)}
t₇₄, X₁: X₁₂ {O(n)}
t₇₄, X₂: 1 {O(1)}
t₇₄, X₃: X₃ {O(n)}
t₇₄, X₄: X₄ {O(n)}
t₇₄, X₅: X₅ {O(n)}
t₇₄, X₉: X₉+4 {O(n)}
t₇₄, X₁₁: 5⋅X₁₁+5⋅X₁₂ {O(n)}
t₇₄, X₁₂: X₁₂ {O(n)}
t₇₄, X₁₃: X₁₃ {O(n)}
t₇₄, X₁₄: X₁₄ {O(n)}
t₇₅, X₁: 6⋅X₁₂ {O(n)}
t₇₅, X₃: 6⋅X₁₃ {O(n)}
t₇₅, X₄: 6⋅X₁₄ {O(n)}
t₇₅, X₅: 6⋅X₅ {O(n)}
t₇₅, X₉: 5⋅X₉+20 {O(n)}
t₇₅, X₁₁: 7⋅X₁₁+7⋅X₁₂ {O(n)}
t₇₅, X₁₂: 6⋅X₁₂ {O(n)}
t₇₅, X₁₃: 6⋅X₁₃ {O(n)}
t₇₅, X₁₄: 6⋅X₁₄ {O(n)}
t₇₆, X₁: 5⋅X₁₂ {O(n)}
t₇₆, X₃: 5⋅X₁₃ {O(n)}
t₇₆, X₄: 5⋅X₁₄ {O(n)}
t₇₆, X₅: 5⋅X₅ {O(n)}
t₇₆, X₉: 4⋅X₉+16 {O(n)}
t₇₆, X₁₁: 5⋅X₁₁+5⋅X₁₂ {O(n)}
t₇₆, X₁₂: 5⋅X₁₂ {O(n)}
t₇₆, X₁₃: 5⋅X₁₃ {O(n)}
t₇₆, X₁₄: 5⋅X₁₄ {O(n)}
t₇₇, X₁: 3⋅X₁₂ {O(n)}
t₇₇, X₃: 3⋅X₁₃ {O(n)}
t₇₇, X₄: 3⋅X₁₄ {O(n)}
t₇₇, X₅: 3⋅X₅ {O(n)}
t₇₇, X₉: 3⋅X₉+12 {O(n)}
t₇₇, X₁₁: 5⋅X₁₁+5⋅X₁₂ {O(n)}
t₇₇, X₁₂: 3⋅X₁₂ {O(n)}
t₇₇, X₁₃: 3⋅X₁₃ {O(n)}
t₇₇, X₁₄: 3⋅X₁₄ {O(n)}
t₇₈, X₁: X₁₂ {O(n)}
t₇₈, X₂: 1 {O(1)}
t₇₈, X₃: X₃ {O(n)}
t₇₈, X₄: X₄ {O(n)}
t₇₈, X₅: X₅ {O(n)}
t₇₈, X₉: X₉+4 {O(n)}
t₇₈, X₁₁: X₁₂ {O(n)}
t₇₈, X₁₂: X₁₂ {O(n)}
t₇₈, X₁₃: X₁₃ {O(n)}
t₇₈, X₁₄: X₁₄ {O(n)}
t₇₉, X₁: 14⋅X₁₂ {O(n)}
t₇₉, X₅: 14⋅X₅ {O(n)}
t₇₉, X₉: 12⋅X₉+48 {O(n)}
t₇₉, X₁₁: 17⋅X₁₁+17⋅X₁₂ {O(n)}
t₇₉, X₁₂: 14⋅X₁₂ {O(n)}
t₇₉, X₁₃: 14⋅X₁₃ {O(n)}
t₇₉, X₁₄: 14⋅X₁₄ {O(n)}
t₈₀, X₁: 28⋅X₁₂ {O(n)}
t₈₀, X₉: 24⋅X₉+96 {O(n)}
t₈₀, X₁₁: 34⋅X₁₁+34⋅X₁₂ {O(n)}
t₈₀, X₁₂: 28⋅X₁₂ {O(n)}
t₈₀, X₁₃: 28⋅X₁₃ {O(n)}
t₈₀, X₁₄: 28⋅X₁₄ {O(n)}
t₈₁, X₁: 14⋅X₁₂ {O(n)}
t₈₁, X₃: 14⋅X₁₃ {O(n)}
t₈₁, X₄: 14⋅X₁₄ {O(n)}
t₈₁, X₅: 14⋅X₁₄ {O(n)}
t₈₁, X₉: 12⋅X₉+48 {O(n)}
t₈₁, X₁₁: 17⋅X₁₁+17⋅X₁₂ {O(n)}
t₈₁, X₁₂: 14⋅X₁₂ {O(n)}
t₈₁, X₁₃: 14⋅X₁₃ {O(n)}
t₈₁, X₁₄: 14⋅X₁₄ {O(n)}
t₈₂, X₁: 14⋅X₁₂ {O(n)}
t₈₂, X₅: 14⋅X₅ {O(n)}
t₈₂, X₉: 12⋅X₉+48 {O(n)}
t₈₂, X₁₁: 17⋅X₁₁+17⋅X₁₂ {O(n)}
t₈₂, X₁₂: 14⋅X₁₂ {O(n)}
t₈₂, X₁₃: 14⋅X₁₃ {O(n)}
t₈₂, X₁₄: 14⋅X₁₄ {O(n)}
t₈₃, X₁: 28⋅X₁₂ {O(n)}
t₈₃, X₉: 24⋅X₉+96 {O(n)}
t₈₃, X₁₁: 34⋅X₁₁+34⋅X₁₂ {O(n)}
t₈₃, X₁₂: 28⋅X₁₂ {O(n)}
t₈₃, X₁₃: 28⋅X₁₃ {O(n)}
t₈₃, X₁₄: 28⋅X₁₄ {O(n)}
t₈₄, X₁: 70⋅X₁₂ {O(n)}
t₈₄, X₉: 60⋅X₉+240 {O(n)}
t₈₄, X₁₁: 85⋅X₁₁+85⋅X₁₂ {O(n)}
t₈₄, X₁₂: 70⋅X₁₂ {O(n)}
t₈₄, X₁₃: 70⋅X₁₃ {O(n)}
t₈₄, X₁₄: 70⋅X₁₄ {O(n)}
t₈₅, X₁: 28⋅X₁₂ {O(n)}
t₈₅, X₉: 24⋅X₉+96 {O(n)}
t₈₅, X₁₁: 34⋅X₁₁+34⋅X₁₂ {O(n)}
t₈₅, X₁₂: 28⋅X₁₂ {O(n)}
t₈₅, X₁₃: 28⋅X₁₃ {O(n)}
t₈₅, X₁₄: 28⋅X₁₄ {O(n)}
t₈₆, X₁: 70⋅X₁₂ {O(n)}
t₈₆, X₉: 60⋅X₉+240 {O(n)}
t₈₆, X₁₁: 85⋅X₁₁+85⋅X₁₂ {O(n)}
t₈₆, X₁₂: 70⋅X₁₂ {O(n)}
t₈₆, X₁₃: 70⋅X₁₃ {O(n)}
t₈₆, X₁₄: 70⋅X₁₄ {O(n)}
t₈₇, X₀: X₀ {O(n)}
t₈₇, X₁: X₁ {O(n)}
t₈₇, X₂: X₂ {O(n)}
t₈₇, X₃: X₃ {O(n)}
t₈₇, X₄: X₄ {O(n)}
t₈₇, X₅: X₅ {O(n)}
t₈₇, X₆: X₆ {O(n)}
t₈₇, X₇: X₇ {O(n)}
t₈₇, X₈: X₈ {O(n)}
t₈₇, X₉: X₉ {O(n)}
t₈₇, X₁₀: X₁₀ {O(n)}
t₈₇, X₁₁: X₁₁ {O(n)}
t₈₇, X₁₂: X₁₂ {O(n)}
t₈₇, X₁₃: X₁₃ {O(n)}
t₈₇, X₁₄: X₁₄ {O(n)}
t₁₅₈, X₁: X₁₂ {O(n)}
t₁₅₈, X₃: X₃ {O(n)}
t₁₅₈, X₄: X₄ {O(n)}
t₁₅₈, X₅: X₅ {O(n)}
t₁₅₈, X₉: X₉+8 {O(n)}
t₁₅₈, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₅₈, X₁₂: X₁₂ {O(n)}
t₁₅₈, X₁₃: X₁₃ {O(n)}
t₁₅₈, X₁₄: X₁₄ {O(n)}
t₁₅₉, X₁: 2⋅X₁₂ {O(n)}
t₁₅₉, X₃: 2⋅X₃ {O(n)}
t₁₅₉, X₄: 2⋅X₄ {O(n)}
t₁₅₉, X₅: 2⋅X₅ {O(n)}
t₁₅₉, X₉: 2⋅X₉+4 {O(n)}
t₁₅₉, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₅₉, X₁₂: 2⋅X₁₂ {O(n)}
t₁₅₉, X₁₃: 2⋅X₁₃ {O(n)}
t₁₅₉, X₁₄: 2⋅X₁₄ {O(n)}
t₁₆₀, X₁: X₁₂ {O(n)}
t₁₆₀, X₃: X₃ {O(n)}
t₁₆₀, X₄: X₄ {O(n)}
t₁₆₀, X₅: X₅ {O(n)}
t₁₆₀, X₉: X₉+8 {O(n)}
t₁₆₀, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₆₀, X₁₂: X₁₂ {O(n)}
t₁₆₀, X₁₃: X₁₃ {O(n)}
t₁₆₀, X₁₄: X₁₄ {O(n)}
t₁₆₁, X₁: X₁₂ {O(n)}
t₁₆₁, X₃: X₃ {O(n)}
t₁₆₁, X₄: X₄ {O(n)}
t₁₆₁, X₅: X₅ {O(n)}
t₁₆₁, X₉: X₉+8 {O(n)}
t₁₆₁, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₆₁, X₁₂: X₁₂ {O(n)}
t₁₆₁, X₁₃: X₁₃ {O(n)}
t₁₆₁, X₁₄: X₁₄ {O(n)}
t₁₆₂, X₀: 3 {O(1)}
t₁₆₂, X₁: X₁₂ {O(n)}
t₁₆₂, X₂: 0 {O(1)}
t₁₆₂, X₃: X₃ {O(n)}
t₁₆₂, X₄: X₄ {O(n)}
t₁₆₂, X₅: X₅ {O(n)}
t₁₆₂, X₉: 2⋅X₉+4 {O(n)}
t₁₆₂, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₆₂, X₁₂: X₁₂ {O(n)}
t₁₆₂, X₁₃: X₁₃ {O(n)}
t₁₆₂, X₁₄: X₁₄ {O(n)}
t₁₆₃, X₀: 3 {O(1)}
t₁₆₃, X₁: X₁₂ {O(n)}
t₁₆₃, X₂: 0 {O(1)}
t₁₆₃, X₃: X₃ {O(n)}
t₁₆₃, X₄: X₄ {O(n)}
t₁₆₃, X₅: X₅ {O(n)}
t₁₆₃, X₉: 4 {O(1)}
t₁₆₃, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₆₃, X₁₂: X₁₂ {O(n)}
t₁₆₃, X₁₃: X₁₃ {O(n)}
t₁₆₃, X₁₄: X₁₄ {O(n)}
t₁₆₄, X₀: 3 {O(1)}
t₁₆₄, X₁: X₁₂ {O(n)}
t₁₆₄, X₂: 0 {O(1)}
t₁₆₄, X₃: X₃ {O(n)}
t₁₆₄, X₄: X₄ {O(n)}
t₁₆₄, X₅: X₅ {O(n)}
t₁₆₄, X₉: 4 {O(1)}
t₁₆₄, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₆₄, X₁₂: X₁₂ {O(n)}
t₁₆₄, X₁₃: X₁₃ {O(n)}
t₁₆₄, X₁₄: X₁₄ {O(n)}
t₁₆₅, X₀: 4 {O(1)}
t₁₆₅, X₁: X₁₂ {O(n)}
t₁₆₅, X₃: X₃ {O(n)}
t₁₆₅, X₄: X₄ {O(n)}
t₁₆₅, X₅: X₅ {O(n)}
t₁₆₅, X₉: 4 {O(1)}
t₁₆₅, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₆₅, X₁₂: X₁₂ {O(n)}
t₁₆₅, X₁₃: X₁₃ {O(n)}
t₁₆₅, X₁₄: X₁₄ {O(n)}
t₁₆₆, X₀: 4 {O(1)}
t₁₆₆, X₁: X₁₂ {O(n)}
t₁₆₆, X₃: X₃ {O(n)}
t₁₆₆, X₄: X₄ {O(n)}
t₁₆₆, X₅: X₅ {O(n)}
t₁₆₆, X₉: 4 {O(1)}
t₁₆₆, X₁₁: 2⋅X₁₁+2⋅X₁₂ {O(n)}
t₁₆₆, X₁₂: X₁₂ {O(n)}
t₁₆₆, X₁₃: X₁₃ {O(n)}
t₁₆₆, X₁₄: X₁₄ {O(n)}
t₁₆₇, X₀: 4 {O(1)}
t₁₆₇, X₁: 2⋅X₁₂ {O(n)}
t₁₆₇, X₃: 2⋅X₃ {O(n)}
t₁₆₇, X₄: 2⋅X₄ {O(n)}
t₁₆₇, X₅: 2⋅X₅ {O(n)}
t₁₆₇, X₉: 4 {O(1)}
t₁₆₇, X₁₁: 2⋅X₁₁+2⋅X₁₂ {O(n)}
t₁₆₇, X₁₂: 2⋅X₁₂ {O(n)}
t₁₆₇, X₁₃: 2⋅X₁₃ {O(n)}
t₁₆₇, X₁₄: 2⋅X₁₄ {O(n)}
t₁₆₈, X₀: 4 {O(1)}
t₁₆₈, X₁: X₁₂ {O(n)}
t₁₆₈, X₃: X₃ {O(n)}
t₁₆₈, X₄: X₄ {O(n)}
t₁₆₈, X₅: X₅ {O(n)}
t₁₆₈, X₉: 4 {O(1)}
t₁₆₈, X₁₁: 2⋅X₁₁+2⋅X₁₂ {O(n)}
t₁₆₈, X₁₂: X₁₂ {O(n)}
t₁₆₈, X₁₃: X₁₃ {O(n)}
t₁₆₈, X₁₄: X₁₄ {O(n)}
t₁₆₉, X₀: 3 {O(1)}
t₁₆₉, X₁: X₁₂ {O(n)}
t₁₆₉, X₂: 0 {O(1)}
t₁₆₉, X₃: X₃ {O(n)}
t₁₆₉, X₄: X₄ {O(n)}
t₁₆₉, X₅: X₅ {O(n)}
t₁₆₉, X₉: 3 {O(1)}
t₁₆₉, X₁₀: 0 {O(1)}
t₁₆₉, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₆₉, X₁₂: X₁₂ {O(n)}
t₁₆₉, X₁₃: X₁₃ {O(n)}
t₁₆₉, X₁₄: X₁₄ {O(n)}
t₁₇₀, X₀: 3 {O(1)}
t₁₇₀, X₁: X₁₂ {O(n)}
t₁₇₀, X₂: 0 {O(1)}
t₁₇₀, X₃: X₃ {O(n)}
t₁₇₀, X₄: X₄ {O(n)}
t₁₇₀, X₅: X₅ {O(n)}
t₁₇₀, X₉: 4 {O(1)}
t₁₇₀, X₁₀: 0 {O(1)}
t₁₇₀, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₇₀, X₁₂: X₁₂ {O(n)}
t₁₇₀, X₁₃: X₁₃ {O(n)}
t₁₇₀, X₁₄: X₁₄ {O(n)}
t₁₇₁, X₀: 3 {O(1)}
t₁₇₁, X₁: X₁₂ {O(n)}
t₁₇₁, X₂: 0 {O(1)}
t₁₇₁, X₃: X₃ {O(n)}
t₁₇₁, X₄: X₄ {O(n)}
t₁₇₁, X₅: X₅ {O(n)}
t₁₇₁, X₉: 4 {O(1)}
t₁₇₁, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₇₁, X₁₂: X₁₂ {O(n)}
t₁₇₁, X₁₃: X₁₃ {O(n)}
t₁₇₁, X₁₄: X₁₄ {O(n)}
t₁₇₂, X₀: 4 {O(1)}
t₁₇₂, X₁: X₁₂ {O(n)}
t₁₇₂, X₃: X₃ {O(n)}
t₁₇₂, X₄: X₄ {O(n)}
t₁₇₂, X₅: X₅ {O(n)}
t₁₇₂, X₉: 4 {O(1)}
t₁₇₂, X₁₁: X₁₁+X₁₂ {O(n)}
t₁₇₂, X₁₂: X₁₂ {O(n)}
t₁₇₂, X₁₃: X₁₃ {O(n)}
t₁₇₂, X₁₄: X₁₄ {O(n)}