KoAT2 Proof Output

Initial Problem

Start: eval_size15_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_size15_0, eval_size15_1, eval_size15_2, eval_size15_4, eval_size15_5, eval_size15_7, eval_size15_8, eval_size15_bb0_in, eval_size15_bb1_in, eval_size15_bb2_in, eval_size15_bb3_in, eval_size15_bb4_in, eval_size15_bb5_in, eval_size15_bb6_in, eval_size15_bb7_in, eval_size15_bb8_in, eval_size15_bb9_in, eval_size15_start, eval_size15_stop
Transitions:
t₃: eval_size15_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.0, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₅: eval_size15_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₆: eval_size15_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb1_in(X₇, X₁₈, X₈, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁₄: eval_size15_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, nondef.2, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁₅: eval_size15_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb1_in(X₁₀, X₁, X₁₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₂: eval_size15_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, nondef.3, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₃: eval_size15_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb1_in(X₀, X₁₂, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁: eval_size15_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₇: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_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_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_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_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_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_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_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_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_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_size15_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, 1+X₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₁₆: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_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_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₁₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₁ ≤ 1
t₁₈: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₁₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₂ ≤ 0
t₁₉: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₁₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 2 ≤ X₂
t₂₀: eval_size15_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁-1, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₄: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ 0
t₂₅: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 1+X₃ ≤ X₄ ∧ 1 ≤ X₅
t₂₆: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₄, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₄ ≤ X₃
t₂₇: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₄, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 0 ≤ X₅ ∧ X₅ ≤ 0
t₂₈: eval_size15_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb5_in(X₀, X₁, X₂, X₃+(X₅)³, X₄+(X₅)², 1+X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₂₉: eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: 1 ≤ X₆
t₃₀: eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) :|: X₆ ≤ 0
t₃₁: eval_size15_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₃₂: eval_size15_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)
t₀: eval_size15_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈) → eval_size15_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈)

Preprocessing

Eliminate variables [X₁₆; X₁₇] that do not contribute to the problem

Found invariant X₇ ≤ X₀ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁₆ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₂+X₁₆ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₁ ≤ X₁₆ ∧ 2 ≤ X₁ for location eval_size15_bb4_in

Found invariant X₇ ≤ X₀ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁₆ ∧ X₂ ≤ X₁₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₂+X₁₆ ∧ 2 ≤ X₂+X₁₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁₆ ∧ 3 ≤ X₁₂+X₁₆ ∧ 1+X₁₂ ≤ X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₁ ≤ X₁₆ ∧ 1+X₁₂ ≤ X₁ ∧ 1 ≤ X₁₂ ∧ 3 ≤ X₁+X₁₂ ∧ X₁ ≤ 1+X₁₂ ∧ 2 ≤ X₁ for location eval_size15_7

Found invariant X₇ ≤ X₀ ∧ X₁₅ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb6_in

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb3_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ X₁₅ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb8_in

Found invariant X₇ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 6 ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₆ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location eval_size15_bb2_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb9_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_stop

Found invariant X₇ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ 1+X₇ ≤ X₁₀ ∧ X₇+X₁₀ ≤ 7 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 6 ∧ X₂ ≤ 0 ∧ 2+X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 4 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ X₁₀ ≤ 4+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₆ ∧ X₁₀ ≤ 4 ∧ X₁₀ ≤ 1+X₀ ∧ X₀+X₁₀ ≤ 7 ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location eval_size15_5

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb7_in

Found invariant X₇ ≤ X₀ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb5_in

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb1_in

Problem after Preprocessing

MPRF for transition t₆₇: eval_size15_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, nondef.3, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₁ ≤ 1+X₁₂ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₆ ∧ 1 ≤ X₁₂ ∧ 1+X₁₂ ≤ X₁₆ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₂ ∧ 2 ≤ X₁₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₂ ∧ 3 ≤ X₂+X₁₆ ∧ 3 ≤ X₁₂+X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₂ ≤ X₁₂ of depth 1:

new bound:

X₁₆+1 {O(n)}

MPRF:

• eval_size15_4: [X₁-1]
• eval_size15_5: [X₁-1]
• eval_size15_7: [X₁-1]
• eval_size15_8: [X₁-2]
• eval_size15_bb1_in: [X₁-1]
• eval_size15_bb2_in: [X₁-1]
• eval_size15_bb3_in: [X₁-1]
• eval_size15_bb4_in: [X₁-X₂]

MPRF for transition t₆₈: eval_size15_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb1_in(X₀, X₁₂, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₁ ≤ 1+X₁₂ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₆ ∧ 1 ≤ X₁₂ ∧ 1+X₁₂ ≤ X₁₆ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₂ ∧ 2 ≤ X₁₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₂ ∧ 3 ≤ X₂+X₁₆ ∧ 3 ≤ X₁₂+X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₂ ≤ X₁₂ of depth 1:

new bound:

X₁₆+1 {O(n)}

MPRF:

• eval_size15_4: [X₁-1]
• eval_size15_5: [X₁-1]
• eval_size15_7: [X₁-1]
• eval_size15_8: [X₁-1]
• eval_size15_bb1_in: [X₁-1]
• eval_size15_bb2_in: [X₁-1]
• eval_size15_bb3_in: [X₁-1]
• eval_size15_bb4_in: [X₁-1]

MPRF for transition t₇₆: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ of depth 1:

new bound:

X₁₆ {O(n)}

MPRF:

• eval_size15_4: [X₁]
• eval_size15_5: [X₁]
• eval_size15_7: [X₁-1]
• eval_size15_8: [X₁-1]
• eval_size15_bb1_in: [X₁]
• eval_size15_bb2_in: [X₁]
• eval_size15_bb3_in: [X₁]
• eval_size15_bb4_in: [X₁-1]

MPRF for transition t₈₀: eval_size15_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁-1, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₆ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ of depth 1:

new bound:

X₁₆+1 {O(n)}

MPRF:

• eval_size15_4: [X₁-1]
• eval_size15_5: [X₁-1]
• eval_size15_7: [X₁₂-1]
• eval_size15_8: [X₁₂-1]
• eval_size15_bb1_in: [X₁-1]
• eval_size15_bb2_in: [X₁-1]
• eval_size15_bb3_in: [X₁-1]
• eval_size15_bb4_in: [X₁-1]

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₇₁: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆

MPRF for transition t₇₂: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 4 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ of depth 1:

new bound:

X₁₆+2 {O(n)}

MPRF:

• eval_size15_4: [1]
• eval_size15_5: [1]
• eval_size15_7: [X₂]
• eval_size15_8: [X₂]
• eval_size15_bb1_in: [1]
• eval_size15_bb2_in: [1]
• eval_size15_bb3_in: [0]
• eval_size15_bb4_in: [0]

MPRF for transition t₇₃: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₂ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ of depth 1:

new bound:

X₁₆+2 {O(n)}

MPRF:

• eval_size15_4: [1]
• eval_size15_5: [1]
• eval_size15_7: [1]
• eval_size15_8: [1]
• eval_size15_bb1_in: [1]
• eval_size15_bb2_in: [1]
• eval_size15_bb3_in: [0]
• eval_size15_bb4_in: [0]

MPRF for transition t₇₄: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₂ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ of depth 1:

new bound:

X₁₆+2 {O(n)}

MPRF:

Found invariant X₇ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 6 ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₆ ∧ X₀ ≤ 3 ∧ 1 ≤ X₀ for location eval_size15_bb2_in_v1

Found invariant X₇ ≤ X₀ ∧ X₁₅ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb6_in

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb3_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ X₁₅ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb8_in

Found invariant X₇ ≤ 2 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ 2+X₇ ≤ X₁₀ ∧ X₇+X₁₀ ≤ 6 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 5 ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 4 ∧ 2+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 3 ≤ X₂+X₁₀ ∧ X₁₀ ≤ 4+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₆ ∧ X₁₀ ≤ 4 ∧ X₁₀ ≤ 1+X₀ ∧ X₀+X₁₀ ≤ 7 ∧ 3 ≤ X₁₀ ∧ 5 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location eval_size15_5_v2

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb9_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_stop

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb7_in

Found invariant X₇ ≤ 2 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2+X₁₁ ∧ X₇+X₁₁ ≤ 2 ∧ 1+X₇ ≤ X₁₀ ∧ X₇+X₁₀ ≤ 5 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 5 ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₁ ∧ X₂+X₁₁ ≤ 0 ∧ 2+X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 3 ∧ 2+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ X₁₁ ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ X₁₀ ≤ 3+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ 0 ∧ 2+X₁₁ ≤ X₁₀ ∧ X₁₀+X₁₁ ≤ 3 ∧ 2+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 3 ∧ 0 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ X₁₀ ≤ 3+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ X₀ ≤ 3+X₁₁ ∧ X₁₀ ≤ 3 ∧ X₁₀ ≤ X₀ ∧ X₀+X₁₀ ≤ 6 ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₀ ≤ X₁₀ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location eval_size15_bb2_in_v2

Found invariant X₇ ≤ 3 ∧ 1+X₇ ≤ X₁₀ ∧ X₇+X₁₀ ≤ 7 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 7 ∧ X₂ ≤ X₁₁ ∧ X₁₁ ≤ X₂ ∧ X₁ ≤ X₁₆ ∧ X₁₀ ≤ 4 ∧ X₁₀ ≤ X₀ ∧ X₀+X₁₀ ≤ 8 ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₀ ≤ X₁₀ ∧ X₀ ≤ 4 ∧ 2 ≤ X₀ for location eval_size15_bb1_in_v1

Found invariant X₇ ≤ X₀ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb5_in

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb1_in

Found invariant X₇ ≤ 2 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2+X₁₁ ∧ X₇+X₁₁ ≤ 2 ∧ 2+X₇ ≤ X₁₀ ∧ X₇+X₁₀ ≤ 6 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 5 ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₁ ∧ X₂+X₁₁ ≤ 0 ∧ 3+X₂ ≤ X₁₀ ∧ X₂+X₁₀ ≤ 4 ∧ 2+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 3 ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ X₁₁ ≤ X₂ ∧ 3 ≤ X₂+X₁₀ ∧ X₁₀ ≤ 4+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 3+X₂ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ 0 ∧ 3+X₁₁ ≤ X₁₀ ∧ X₁₀+X₁₁ ≤ 4 ∧ 2+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 3 ∧ 0 ≤ X₁₁ ∧ 3 ≤ X₁₀+X₁₁ ∧ X₁₀ ≤ 4+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ X₀ ≤ 3+X₁₁ ∧ X₁₀ ≤ 4 ∧ X₁₀ ≤ 1+X₀ ∧ X₀+X₁₀ ≤ 7 ∧ 3 ≤ X₁₀ ∧ 5 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ X₀ ≤ 3 ∧ 2 ≤ X₀ for location eval_size15_4_v2

Analysing control-flow refined program

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₁: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₂ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₂: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₂ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₃: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 4 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₄: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₅: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₆: eval_size15_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, 1+X₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₇ ≤ 6 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₇: eval_size15_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, nondef.2, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₁₆+2 {O(n)} for transition t₁₆₈: eval_size15_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb1_in_v1(X₁₀, X₁, X₁₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

MPRF for transition t₁₆₉: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₂ ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁ of depth 1:

new bound:

5⋅X₁₆+14 {O(n)}

MPRF:

• eval_size15_4_v1: [4]
• eval_size15_4_v2: [5⋅X₁₀-5⋅X₀]
• eval_size15_5_v1: [5+X₀-X₁₀]
• eval_size15_5_v2: [5]
• eval_size15_7: [4]
• eval_size15_8: [4]
• eval_size15_bb1_in: [4]
• eval_size15_bb1_in_v1: [5]
• eval_size15_bb2_in_v1: [4]
• eval_size15_bb2_in_v2: [5]
• eval_size15_bb3_in: [4]
• eval_size15_bb4_in: [4]

MPRF for transition t₁₇₀: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₂ ≤ 0 ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁ of depth 1:

new bound:

17⋅X₁₆+22 {O(n)}

MPRF:

• eval_size15_4_v1: [4+4⋅X₁-4⋅X₁₆]
• eval_size15_4_v2: [2]
• eval_size15_5_v1: [4+4⋅X₁-4⋅X₁₆]
• eval_size15_5_v2: [2-X₂]
• eval_size15_7: [4+4⋅X₁₂-4⋅X₁₆]
• eval_size15_8: [4+4⋅X₁₂-4⋅X₁₆]
• eval_size15_bb1_in: [4+4⋅X₁-4⋅X₁₆]
• eval_size15_bb1_in_v1: [5-X₀]
• eval_size15_bb2_in_v1: [4+4⋅X₁-4⋅X₁₆]
• eval_size15_bb2_in_v2: [5+X₁₁-X₁₀]
• eval_size15_bb3_in: [4⋅X₁-4⋅X₁₆]
• eval_size15_bb4_in: [4⋅X₁-4⋅X₁₆]

MPRF for transition t₁₇₁: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 4 ≤ X₀ ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁ of depth 1:

new bound:

9⋅X₁₆+19 {O(n)}

MPRF:

• eval_size15_4_v1: [1-X₁₀]
• eval_size15_4_v2: [4-X₀]
• eval_size15_5_v1: [1-X₁₀]
• eval_size15_5_v2: [4-X₀]
• eval_size15_7: [-1]
• eval_size15_8: [X₁₂-X₁]
• eval_size15_bb1_in: [-1]
• eval_size15_bb1_in_v1: [5-X₁₀]
• eval_size15_bb2_in_v1: [-X₀]
• eval_size15_bb2_in_v2: [5-X₁₀]
• eval_size15_bb3_in: [-1]
• eval_size15_bb4_in: [-1]

MPRF for transition t₁₇₂: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁ of depth 1:

new bound:

12⋅X₁₆+28 {O(n)}

MPRF:

• eval_size15_4_v1: [3]
• eval_size15_4_v2: [7-X₀]
• eval_size15_5_v1: [4+X₀-X₁₀]
• eval_size15_5_v2: [8-X₁₀]
• eval_size15_7: [4]
• eval_size15_8: [4⋅X₁-4⋅X₁₂]
• eval_size15_bb1_in: [4]
• eval_size15_bb1_in_v1: [8-X₀]
• eval_size15_bb2_in_v1: [4]
• eval_size15_bb2_in_v2: [7-X₁₀]
• eval_size15_bb3_in: [4]
• eval_size15_bb4_in: [4⋅X₂]

MPRF for transition t₁₇₃: eval_size15_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, 1+X₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₇ ≤ 6 ∧ X₀+X₁₀ ≤ 6 ∧ X₀+X₇ ≤ 5 ∧ X₇+X₁₀ ≤ 5 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₁ ∧ X₀+X₁₁ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₁₀ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₂+X₁₀ ≤ 3 ∧ X₇ ≤ 3 ∧ X₁₀ ≤ 3 ∧ X₁₀ ≤ 3+X₁₁ ∧ X₁₀+X₁₁ ≤ 3 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2 ∧ X₇ ≤ 2+X₁₁ ∧ X₇+X₁₁ ≤ 2 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₁ ∧ 2+X₁₁ ≤ X₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2+X₁₁ ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₁ ∧ X₂+X₁₁ ≤ 0 ∧ 0 ≤ X₁₁ ∧ X₁₁ ≤ 0 of depth 1:

new bound:

15⋅X₁₆+31 {O(n)}

MPRF:

• eval_size15_4_v1: [-1]
• eval_size15_4_v2: [4+X₁₀-3⋅X₀]
• eval_size15_5_v1: [-2]
• eval_size15_5_v2: [4+X₁₀-3⋅X₀]
• eval_size15_7: [-1]
• eval_size15_8: [-1]
• eval_size15_bb1_in: [-1]
• eval_size15_bb1_in_v1: [7-X₀-X₁₀]
• eval_size15_bb2_in_v1: [-1]
• eval_size15_bb2_in_v2: [4-X₁₀]
• eval_size15_bb3_in: [-1]
• eval_size15_bb4_in: [-1]

MPRF for transition t₁₇₄: eval_size15_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, nondef.2, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₇+X₁₀ ≤ 6 ∧ X₀+X₇ ≤ 5 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₁₀ ≤ 4+X₁₁ ∧ X₁₀+X₁₁ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₁ ∧ X₀+X₁₁ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2 ∧ X₇ ≤ 2+X₁₁ ∧ X₇+X₁₁ ≤ 2 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₁ ∧ 2+X₁₁ ≤ X₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2+X₇ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ 3 ≤ X₂+X₁₀ ∧ 3+X₂ ≤ X₁₀ ∧ 3 ≤ X₁₀ ∧ 3 ≤ X₁₀+X₁₁ ∧ 3+X₁₁ ≤ X₁₀ ∧ 5 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₁ ∧ X₂+X₁₁ ≤ 0 ∧ 0 ≤ X₁₁ ∧ X₁₁ ≤ 0 of depth 1:

new bound:

12⋅X₁₆+28 {O(n)}

MPRF:

• eval_size15_4_v1: [4]
• eval_size15_4_v2: [9-X₁₀]
• eval_size15_5_v1: [4-X₀-X₁₀]
• eval_size15_5_v2: [7-X₀]
• eval_size15_7: [4]
• eval_size15_8: [4]
• eval_size15_bb1_in: [4]
• eval_size15_bb1_in_v1: [8-X₀]
• eval_size15_bb2_in_v1: [4]
• eval_size15_bb2_in_v2: [8-X₀]
• eval_size15_bb3_in: [4]
• eval_size15_bb4_in: [4]

MPRF for transition t₁₇₅: eval_size15_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb1_in_v1(X₁₀, X₁, X₁₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₇+X₁₀ ≤ 6 ∧ X₀+X₇ ≤ 5 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2+X₇ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ 3 ≤ X₂+X₁₀ ∧ 3+X₂ ≤ X₁₀ ∧ 3 ≤ X₁₀ ∧ 5 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 of depth 1:

new bound:

12⋅X₁₆+28 {O(n)}

MPRF:

• eval_size15_4_v1: [3]
• eval_size15_4_v2: [8-X₀]
• eval_size15_5_v1: [3]
• eval_size15_5_v2: [9-X₁₀]
• eval_size15_7: [4]
• eval_size15_8: [4]
• eval_size15_bb1_in: [4]
• eval_size15_bb1_in_v1: [8-X₁₀]
• eval_size15_bb2_in_v1: [3]
• eval_size15_bb2_in_v2: [8-X₁₀]
• eval_size15_bb3_in: [4]
• eval_size15_bb4_in: [4]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

cfr-program:

Start: eval_size15_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆
Temp_Vars: nondef.0, nondef.1, nondef.2, nondef.3
Locations: eval_size15_0, eval_size15_1, eval_size15_2, eval_size15_4_v1, eval_size15_4_v2, eval_size15_5_v1, eval_size15_5_v2, eval_size15_7, eval_size15_8, eval_size15_bb0_in, eval_size15_bb1_in, eval_size15_bb1_in_v1, eval_size15_bb2_in_v1, eval_size15_bb2_in_v2, eval_size15_bb3_in, eval_size15_bb4_in, eval_size15_bb5_in, eval_size15_bb6_in, eval_size15_bb7_in, eval_size15_bb8_in, eval_size15_bb9_in, eval_size15_start, eval_size15_stop
Transitions:
t₆₂: eval_size15_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.0, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆)
t₆₃: eval_size15_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, nondef.1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆)
t₆₄: eval_size15_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb1_in(X₇, X₁₆, X₈, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆)
t₁₆₇: eval_size15_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, nondef.2, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₇₄: eval_size15_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, nondef.2, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₇+X₁₀ ≤ 6 ∧ X₀+X₇ ≤ 5 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₁₀ ≤ 4+X₁₁ ∧ X₁₀+X₁₁ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₁ ∧ X₀+X₁₁ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2 ∧ X₇ ≤ 2+X₁₁ ∧ X₇+X₁₁ ≤ 2 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₁ ∧ 2+X₁₁ ≤ X₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2+X₇ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ 3 ≤ X₂+X₁₀ ∧ 3+X₂ ≤ X₁₀ ∧ 3 ≤ X₁₀ ∧ 3 ≤ X₁₀+X₁₁ ∧ 3+X₁₁ ≤ X₁₀ ∧ 5 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₁ ∧ X₂+X₁₁ ≤ 0 ∧ 0 ≤ X₁₁ ∧ X₁₁ ≤ 0
t₁₆₈: eval_size15_5_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb1_in_v1(X₁₀, X₁, X₁₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₇₅: eval_size15_5_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb1_in_v1(X₁₀, X₁, X₁₁, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₁₀ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀+X₇ ≤ 6 ∧ X₇+X₁₀ ≤ 6 ∧ X₀+X₇ ≤ 5 ∧ X₁₀ ≤ 4+X₂ ∧ X₂+X₁₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2 ∧ X₁₀ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2+X₇ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 3 ≤ X₀+X₁₀ ∧ 3 ≤ X₂+X₁₀ ∧ 3+X₂ ≤ X₁₀ ∧ 3 ≤ X₁₀ ∧ 5 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₆₇: eval_size15_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, nondef.3, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₁ ≤ 1+X₁₂ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₆ ∧ 1 ≤ X₁₂ ∧ 1+X₁₂ ≤ X₁₆ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₂ ∧ 2 ≤ X₁₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₂ ∧ 3 ≤ X₂+X₁₆ ∧ 3 ≤ X₁₂+X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₂ ≤ X₁₂
t₆₈: eval_size15_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb1_in(X₀, X₁₂, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₁ ≤ 1+X₁₂ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1+X₁₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₆ ∧ 1 ≤ X₁₂ ∧ 1+X₁₂ ≤ X₁₆ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₁₂ ∧ 2 ≤ X₁₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₁₂ ∧ 3 ≤ X₂+X₁₆ ∧ 3 ≤ X₁₂+X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₂ ≤ X₁₂
t₆₉: eval_size15_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆)
t₁₆₅: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₇₁: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₇₂: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 4 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₇₃: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₂ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₇₄: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₂ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₁₆₁: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₂ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₁₆₂: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₂ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₁₆₃: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 4 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₁₆₄: eval_size15_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₁₇₂: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀ ≤ 3 ∧ 1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁
t₁₆₉: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₂ ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁
t₁₇₀: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₂ ≤ 0 ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁
t₁₇₁: eval_size15_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 4 ≤ X₀ ∧ X₀+X₁₀ ≤ 8 ∧ X₀+X₇ ≤ 7 ∧ X₇+X₁₀ ≤ 7 ∧ X₀ ≤ 4 ∧ X₁₀ ≤ 4 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ X₁₁
t₁₆₆: eval_size15_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, 1+X₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₇ ≤ 6 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 3 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₇₃: eval_size15_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_4_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, 1+X₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₀+X₇ ≤ 6 ∧ X₀+X₁₀ ≤ 6 ∧ X₀+X₇ ≤ 5 ∧ X₇+X₁₀ ≤ 5 ∧ X₀ ≤ 3 ∧ X₀ ≤ 3+X₂ ∧ X₀+X₂ ≤ 3 ∧ X₀ ≤ 3+X₁₁ ∧ X₀+X₁₁ ≤ 3 ∧ X₇ ≤ 3+X₂ ∧ X₁₀ ≤ 3+X₂ ∧ X₂+X₇ ≤ 3 ∧ X₂+X₁₀ ≤ 3 ∧ X₇ ≤ 3 ∧ X₁₀ ≤ 3 ∧ X₁₀ ≤ 3+X₁₁ ∧ X₁₀+X₁₁ ≤ 3 ∧ X₇ ≤ 2+X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 2 ∧ X₇ ≤ 2+X₁₁ ∧ X₇+X₁₁ ≤ 2 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₇ ≤ X₀ ∧ 1+X₇ ≤ X₁₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₀+X₁₁ ∧ 2+X₁₁ ≤ X₀ ∧ 2 ≤ X₂+X₁₀ ∧ 2+X₂ ≤ X₁₀ ∧ 2 ≤ X₁₀ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2+X₁₁ ≤ X₁₀ ∧ 4 ≤ X₀+X₁₀ ∧ X₇ ≤ X₀ ∧ X₁₀ ≤ X₀ ∧ X₀ ≤ X₁₀ ∧ X₁ ≤ X₁₆ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ X₁₁ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁₁ ∧ X₂+X₁₁ ≤ 0 ∧ 0 ≤ X₁₁ ∧ X₁₁ ≤ 0
t₇₆: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₇₇: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₁₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₁ ≤ 1 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₇₈: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₁₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₂ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₇₉: eval_size15_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb5_in(X₀, X₁, X₂, X₁₃, X₁₄, X₁₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 2 ≤ X₂ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₈₀: eval_size15_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁-1, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₁₆ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁₆ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₁₆ ∧ 4 ≤ X₁+X₁₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆
t₈₁: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₂: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₃ ≤ X₄ ∧ 1 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₃: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₄, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₄ ≤ X₃ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₄: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₄, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₅: eval_size15_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb5_in(X₀, X₁, X₂, X₃+(X₅)³, X₄+(X₅)², 1+X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₃ ≤ X₄ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₆: eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₆ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₇: eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₆ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₆ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₈: eval_size15_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1 ≤ X₄ ∧ 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₆ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅
t₈₉: eval_size15_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₆ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₆ ≤ 0
t₉₀: eval_size15_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆)

MPRF for transition t₈₁: eval_size15_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) → eval_size15_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆) :|: 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ ∧ X₁₄ ≤ X₄ ∧ X₁₅ ≤ X₅ of depth 1:

new bound:

10⋅X₁₅ {O(n)}

MPRF:

• eval_size15_bb5_in: [-X₅]
• eval_size15_bb6_in: [-1-X₅]

Found invariant X₇ ≤ X₀ ∧ 1+X₅ ≤ 0 ∧ X₅ ≤ X₁₅ ∧ 2+X₅+X₁₅ ≤ 0 ∧ X₁₅ ≤ X₅ ∧ X₄ ≤ X₁₄ ∧ 1+X₃ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ 1+X₁₃ ≤ X₄ ∧ 1+X₃ ≤ X₁₄ ∧ X₃ ≤ X₁₃ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₆ ∧ 1+X₁₅ ≤ 0 ∧ 1+X₁₃ ≤ X₁₄ for location eval_size15_bb6_in_v2

Found invariant X₇ ≤ X₀ ∧ 2 ≤ X₅ ∧ 3 ≤ X₅+X₁₅ ∧ 1+X₁₅ ≤ X₅ ∧ 1+X₁₄ ≤ X₄ ∧ 2+X₁₃ ≤ X₄ ∧ X₁ ≤ X₁₆ ∧ 1 ≤ X₁₅ ∧ 1+X₁₃ ≤ X₁₄ for location eval_size15_bb5_in_v2

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb3_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ X₁₅ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb8_in

Found invariant X₇ ≤ X₀ ∧ X₅ ≤ X₁₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₅ ∧ X₁₅ ≤ X₅ ∧ X₄ ≤ X₁₄ ∧ 1+X₃ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ 1+X₁₃ ≤ X₄ ∧ 1+X₃ ≤ X₁₄ ∧ X₃ ≤ X₁₃ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₆ ∧ 1 ≤ X₁₅ ∧ 1+X₁₃ ≤ X₁₄ for location eval_size15_bb6_in_v1

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb9_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_stop

Found invariant X₇ ≤ X₀ ∧ 1+X₅ ≤ 0 ∧ 3+X₅+X₁₅ ≤ 0 ∧ 1+X₁₅ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₁₄ ≤ X₄ ∧ 2+X₁₃ ≤ X₄ ∧ X₁ ≤ X₁₆ ∧ 2+X₁₅ ≤ 0 ∧ 1+X₁₃ ≤ X₁₄ for location eval_size15_bb6_in_v3

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb7_in

Found invariant X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ 1+X₅+X₁₅ ≤ 0 ∧ 1+X₁₅ ≤ X₅ ∧ 1+X₁₄ ≤ X₄ ∧ 2+X₁₃ ≤ X₄ ∧ X₁ ≤ X₁₆ ∧ 1+X₁₅ ≤ 0 ∧ 1+X₁₃ ≤ X₁₄ for location eval_size15_bb5_in_v1

Found invariant X₇ ≤ X₀ ∧ X₅ ≤ X₁₅ ∧ X₁₅ ≤ X₅ ∧ X₄ ≤ X₁₄ ∧ X₁₄ ≤ X₄ ∧ X₃ ≤ X₁₃ ∧ X₁₃ ≤ X₃ ∧ X₁ ≤ X₁₆ for location eval_size15_bb5_in

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb1_in

Found invariant X₇ ≤ X₀ ∧ 2 ≤ X₅ ∧ 3 ≤ X₅+X₁₅ ∧ 1+X₁₅ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₁₄ ≤ X₄ ∧ 2+X₁₃ ≤ X₄ ∧ X₁ ≤ X₁₆ ∧ 1 ≤ X₁₅ ∧ 1+X₁₃ ≤ X₁₄ for location eval_size15_bb6_in_v4

Found invariant X₇ ≤ X₀ ∧ X₁₅ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb6_in

Found invariant X₇ ≤ X₀ ∧ 1+X₆ ≤ X₄ ∧ 1 ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ X₁₅ ≤ X₅ ∧ 2 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb8_in_v2

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb3_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb9_in

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ 0 ∧ X₆ ≤ X₄ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_stop

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ X₁₄ ≤ X₆ ∧ X₁₅ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb8_in_v1

Found invariant X₇ ≤ X₀ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₆ ∧ X₁₄ ≤ X₆ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb7_in

Found invariant X₇ ≤ X₀ ∧ 1+X₆ ≤ X₄ ∧ 0 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₁₅ ≤ X₅ ∧ 1 ≤ X₄ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb7_in_v1

Found invariant X₇ ≤ X₀ ∧ X₁₅ ≤ X₅ ∧ X₁₄ ≤ X₄ ∧ X₁ ≤ X₁₆ for location eval_size15_bb5_in

Found invariant X₇ ≤ X₀ ∧ X₁ ≤ X₁₆ for location eval_size15_bb1_in

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₆₂: 1 {O(1)}
t₆₃: 1 {O(1)}
t₆₄: 1 {O(1)}
t₆₇: X₁₆+1 {O(n)}
t₆₈: X₁₆+1 {O(n)}
t₆₉: 1 {O(1)}
t₇₁: X₁₆+2 {O(n)}
t₇₂: X₁₆+2 {O(n)}
t₇₃: X₁₆+2 {O(n)}
t₇₄: X₁₆+2 {O(n)}
t₇₆: X₁₆ {O(n)}
t₇₇: 1 {O(1)}
t₇₈: 1 {O(1)}
t₇₉: 1 {O(1)}
t₈₀: X₁₆+1 {O(n)}
t₈₁: 10⋅X₁₅ {O(n)}
t₈₂: inf {Infinity}
t₈₃: 1 {O(1)}
t₈₄: 1 {O(1)}
t₈₅: inf {Infinity}
t₈₆: inf {Infinity}
t₈₇: 1 {O(1)}
t₈₈: inf {Infinity}
t₈₉: 1 {O(1)}
t₉₀: 1 {O(1)}
t₁₆₁: X₁₆+2 {O(n)}
t₁₆₂: X₁₆+2 {O(n)}
t₁₆₃: X₁₆+2 {O(n)}
t₁₆₄: X₁₆+2 {O(n)}
t₁₆₅: X₁₆+2 {O(n)}
t₁₆₆: X₁₆+2 {O(n)}
t₁₆₇: X₁₆+2 {O(n)}
t₁₆₈: X₁₆+2 {O(n)}
t₁₆₉: 5⋅X₁₆+14 {O(n)}
t₁₇₀: 17⋅X₁₆+22 {O(n)}
t₁₇₁: 9⋅X₁₆+19 {O(n)}
t₁₇₂: 12⋅X₁₆+28 {O(n)}
t₁₇₃: 15⋅X₁₆+31 {O(n)}
t₁₇₄: 12⋅X₁₆+28 {O(n)}
t₁₇₅: 12⋅X₁₆+28 {O(n)}

Costbounds

Overall costbound: inf {Infinity}
t₆₂: 1 {O(1)}
t₆₃: 1 {O(1)}
t₆₄: 1 {O(1)}
t₆₇: X₁₆+1 {O(n)}
t₆₈: X₁₆+1 {O(n)}
t₆₉: 1 {O(1)}
t₇₁: X₁₆+2 {O(n)}
t₇₂: X₁₆+2 {O(n)}
t₇₃: X₁₆+2 {O(n)}
t₇₄: X₁₆+2 {O(n)}
t₇₆: X₁₆ {O(n)}
t₇₇: 1 {O(1)}
t₇₈: 1 {O(1)}
t₇₉: 1 {O(1)}
t₈₀: X₁₆+1 {O(n)}
t₈₁: 10⋅X₁₅ {O(n)}
t₈₂: inf {Infinity}
t₈₃: 1 {O(1)}
t₈₄: 1 {O(1)}
t₈₅: inf {Infinity}
t₈₆: inf {Infinity}
t₈₇: 1 {O(1)}
t₈₈: inf {Infinity}
t₈₉: 1 {O(1)}
t₉₀: 1 {O(1)}
t₁₆₁: X₁₆+2 {O(n)}
t₁₆₂: X₁₆+2 {O(n)}
t₁₆₃: X₁₆+2 {O(n)}
t₁₆₄: X₁₆+2 {O(n)}
t₁₆₅: X₁₆+2 {O(n)}
t₁₆₆: X₁₆+2 {O(n)}
t₁₆₇: X₁₆+2 {O(n)}
t₁₆₈: X₁₆+2 {O(n)}
t₁₆₉: 5⋅X₁₆+14 {O(n)}
t₁₇₀: 17⋅X₁₆+22 {O(n)}
t₁₇₁: 9⋅X₁₆+19 {O(n)}
t₁₇₂: 12⋅X₁₆+28 {O(n)}
t₁₇₃: 15⋅X₁₆+31 {O(n)}
t₁₇₄: 12⋅X₁₆+28 {O(n)}
t₁₇₅: 12⋅X₁₆+28 {O(n)}

Sizebounds

t₆₂, X₀: X₀ {O(n)}
t₆₂, X₁: X₁ {O(n)}
t₆₂, X₂: X₂ {O(n)}
t₆₂, X₃: X₃ {O(n)}
t₆₂, X₄: X₄ {O(n)}
t₆₂, X₅: X₅ {O(n)}
t₆₂, X₆: X₆ {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)}
t₆₂, X₁₅: X₁₅ {O(n)}
t₆₂, X₁₆: X₁₆ {O(n)}
t₆₃, X₀: X₀ {O(n)}
t₆₃, X₁: X₁ {O(n)}
t₆₃, X₂: X₂ {O(n)}
t₆₃, X₃: X₃ {O(n)}
t₆₃, X₄: X₄ {O(n)}
t₆₃, X₅: X₅ {O(n)}
t₆₃, X₆: X₆ {O(n)}
t₆₃, X₉: X₉ {O(n)}
t₆₃, X₁₀: X₁₀ {O(n)}
t₆₃, X₁₁: X₁₁ {O(n)}
t₆₃, X₁₂: X₁₂ {O(n)}
t₆₃, X₁₃: X₁₃ {O(n)}
t₆₃, X₁₄: X₁₄ {O(n)}
t₆₃, X₁₅: X₁₅ {O(n)}
t₆₃, X₁₆: X₁₆ {O(n)}
t₆₄, X₁: X₁₆ {O(n)}
t₆₄, X₃: X₃ {O(n)}
t₆₄, X₄: X₄ {O(n)}
t₆₄, X₅: X₅ {O(n)}
t₆₄, X₆: X₆ {O(n)}
t₆₄, X₉: X₉ {O(n)}
t₆₄, X₁₀: X₁₀ {O(n)}
t₆₄, X₁₁: X₁₁ {O(n)}
t₆₄, X₁₂: X₁₂ {O(n)}
t₆₄, X₁₃: X₁₃ {O(n)}
t₆₄, X₁₄: X₁₄ {O(n)}
t₆₄, X₁₅: X₁₅ {O(n)}
t₆₄, X₁₆: X₁₆ {O(n)}
t₆₇, X₁: X₁₆ {O(n)}
t₆₇, X₂: 1 {O(1)}
t₆₇, X₃: X₃ {O(n)}
t₆₇, X₄: X₄ {O(n)}
t₆₇, X₅: X₅ {O(n)}
t₆₇, X₆: X₆ {O(n)}
t₆₇, X₁₀: X₁₀+4 {O(n)}
t₆₇, X₁₂: X₁₆ {O(n)}
t₆₇, X₁₃: X₁₃ {O(n)}
t₆₇, X₁₄: X₁₄ {O(n)}
t₆₇, X₁₅: X₁₅ {O(n)}
t₆₇, X₁₆: X₁₆ {O(n)}
t₆₈, X₁: X₁₆ {O(n)}
t₆₈, X₃: X₃ {O(n)}
t₆₈, X₄: X₄ {O(n)}
t₆₈, X₅: X₅ {O(n)}
t₆₈, X₆: X₆ {O(n)}
t₆₈, X₁₀: X₁₀+4 {O(n)}
t₆₈, X₁₂: X₁₆ {O(n)}
t₆₈, X₁₃: X₁₃ {O(n)}
t₆₈, X₁₄: X₁₄ {O(n)}
t₆₈, X₁₅: X₁₅ {O(n)}
t₆₈, X₁₆: X₁₆ {O(n)}
t₆₉, X₀: X₀ {O(n)}
t₆₉, X₁: X₁ {O(n)}
t₆₉, X₂: X₂ {O(n)}
t₆₉, X₃: X₃ {O(n)}
t₆₉, X₄: X₄ {O(n)}
t₆₉, X₅: X₅ {O(n)}
t₆₉, X₆: X₆ {O(n)}
t₆₉, X₇: X₇ {O(n)}
t₆₉, X₈: X₈ {O(n)}
t₆₉, X₉: X₉ {O(n)}
t₆₉, X₁₀: X₁₀ {O(n)}
t₆₉, X₁₁: X₁₁ {O(n)}
t₆₉, X₁₂: X₁₂ {O(n)}
t₆₉, X₁₃: X₁₃ {O(n)}
t₆₉, X₁₄: X₁₄ {O(n)}
t₆₉, X₁₅: X₁₅ {O(n)}
t₆₉, X₁₆: X₁₆ {O(n)}
t₇₁, X₁: X₁₆ {O(n)}
t₇₁, X₃: X₃ {O(n)}
t₇₁, X₄: X₄ {O(n)}
t₇₁, X₅: X₅ {O(n)}
t₇₁, X₆: X₆ {O(n)}
t₇₁, X₁₀: X₁₀+4 {O(n)}
t₇₁, X₁₂: X₁₂+X₁₆ {O(n)}
t₇₁, X₁₃: X₁₃ {O(n)}
t₇₁, X₁₄: X₁₄ {O(n)}
t₇₁, X₁₅: X₁₅ {O(n)}
t₇₁, X₁₆: X₁₆ {O(n)}
t₇₂, X₁: X₁₆ {O(n)}
t₇₂, X₃: X₃ {O(n)}
t₇₂, X₄: X₄ {O(n)}
t₇₂, X₅: X₅ {O(n)}
t₇₂, X₆: X₆ {O(n)}
t₇₂, X₁₀: X₁₀+4 {O(n)}
t₇₂, X₁₂: X₁₂+X₁₆ {O(n)}
t₇₂, X₁₃: X₁₃ {O(n)}
t₇₂, X₁₄: X₁₄ {O(n)}
t₇₂, X₁₅: X₁₅ {O(n)}
t₇₂, X₁₆: X₁₆ {O(n)}
t₇₃, X₁: X₁₆ {O(n)}
t₇₃, X₃: X₃ {O(n)}
t₇₃, X₄: X₄ {O(n)}
t₇₃, X₅: X₅ {O(n)}
t₇₃, X₆: X₆ {O(n)}
t₇₃, X₁₀: X₁₀+4 {O(n)}
t₇₃, X₁₂: X₁₂+X₁₆ {O(n)}
t₇₃, X₁₃: X₁₃ {O(n)}
t₇₃, X₁₄: X₁₄ {O(n)}
t₇₃, X₁₅: X₁₅ {O(n)}
t₇₃, X₁₆: X₁₆ {O(n)}
t₇₄, X₁: X₁₆ {O(n)}
t₇₄, X₃: X₃ {O(n)}
t₇₄, X₄: X₄ {O(n)}
t₇₄, X₅: X₅ {O(n)}
t₇₄, X₆: X₆ {O(n)}
t₇₄, X₁₀: X₁₀+4 {O(n)}
t₇₄, X₁₂: X₁₂+X₁₆ {O(n)}
t₇₄, X₁₃: X₁₃ {O(n)}
t₇₄, X₁₄: X₁₄ {O(n)}
t₇₄, X₁₅: X₁₅ {O(n)}
t₇₄, X₁₆: X₁₆ {O(n)}
t₇₆, X₁: X₁₆ {O(n)}
t₇₆, X₂: 1 {O(1)}
t₇₆, X₃: X₃ {O(n)}
t₇₆, X₄: X₄ {O(n)}
t₇₆, X₅: X₅ {O(n)}
t₇₆, X₆: X₆ {O(n)}
t₇₆, X₁₀: X₁₀+4 {O(n)}
t₇₆, X₁₂: 7⋅X₁₂+7⋅X₁₆ {O(n)}
t₇₆, X₁₃: X₁₃ {O(n)}
t₇₆, X₁₄: X₁₄ {O(n)}
t₇₆, X₁₅: X₁₅ {O(n)}
t₇₆, X₁₆: X₁₆ {O(n)}
t₇₇, X₁: 4⋅X₁₆ {O(n)}
t₇₇, X₃: 4⋅X₁₃ {O(n)}
t₇₇, X₄: 4⋅X₁₄ {O(n)}
t₇₇, X₅: 4⋅X₁₅ {O(n)}
t₇₇, X₆: 4⋅X₆ {O(n)}
t₇₇, X₁₀: 4⋅X₁₀+16 {O(n)}
t₇₇, X₁₂: 7⋅X₁₂+7⋅X₁₆ {O(n)}
t₇₇, X₁₃: 4⋅X₁₃ {O(n)}
t₇₇, X₁₄: 4⋅X₁₄ {O(n)}
t₇₇, X₁₅: 4⋅X₁₅ {O(n)}
t₇₇, X₁₆: 4⋅X₁₆ {O(n)}
t₇₈, X₁: 3⋅X₁₆ {O(n)}
t₇₈, X₃: 3⋅X₁₃ {O(n)}
t₇₈, X₄: 3⋅X₁₄ {O(n)}
t₇₈, X₅: 3⋅X₁₅ {O(n)}
t₇₈, X₆: 3⋅X₆ {O(n)}
t₇₈, X₁₀: 3⋅X₁₀+12 {O(n)}
t₇₈, X₁₂: 5⋅X₁₂+5⋅X₁₆ {O(n)}
t₇₈, X₁₃: 3⋅X₁₃ {O(n)}
t₇₈, X₁₄: 3⋅X₁₄ {O(n)}
t₇₈, X₁₅: 3⋅X₁₅ {O(n)}
t₇₈, X₁₆: 3⋅X₁₆ {O(n)}
t₇₉, X₁: 3⋅X₁₆ {O(n)}
t₇₉, X₃: 3⋅X₁₃ {O(n)}
t₇₉, X₄: 3⋅X₁₄ {O(n)}
t₇₉, X₅: 3⋅X₁₅ {O(n)}
t₇₉, X₆: 3⋅X₆ {O(n)}
t₇₉, X₁₀: 3⋅X₁₀+12 {O(n)}
t₇₉, X₁₂: 5⋅X₁₂+5⋅X₁₆ {O(n)}
t₇₉, X₁₃: 3⋅X₁₃ {O(n)}
t₇₉, X₁₄: 3⋅X₁₄ {O(n)}
t₇₉, X₁₅: 3⋅X₁₅ {O(n)}
t₇₉, X₁₆: 3⋅X₁₆ {O(n)}
t₈₀, X₁: X₁₆ {O(n)}
t₈₀, X₂: 1 {O(1)}
t₈₀, X₃: X₃ {O(n)}
t₈₀, X₄: X₄ {O(n)}
t₈₀, X₅: X₅ {O(n)}
t₈₀, X₆: X₆ {O(n)}
t₈₀, X₁₀: X₁₀+4 {O(n)}
t₈₀, X₁₂: X₁₆ {O(n)}
t₈₀, X₁₃: X₁₃ {O(n)}
t₈₀, X₁₄: X₁₄ {O(n)}
t₈₀, X₁₅: X₁₅ {O(n)}
t₈₀, X₁₆: X₁₆ {O(n)}
t₈₁, X₁: 10⋅X₁₆ {O(n)}
t₈₁, X₆: 10⋅X₆ {O(n)}
t₈₁, X₁₀: 10⋅X₁₀+40 {O(n)}
t₈₁, X₁₂: 17⋅X₁₂+17⋅X₁₆ {O(n)}
t₈₁, X₁₃: 10⋅X₁₃ {O(n)}
t₈₁, X₁₄: 10⋅X₁₄ {O(n)}
t₈₁, X₁₅: 10⋅X₁₅ {O(n)}
t₈₁, X₁₆: 10⋅X₁₆ {O(n)}
t₈₂, X₁: 10⋅X₁₆ {O(n)}
t₈₂, X₆: 10⋅X₆ {O(n)}
t₈₂, X₁₀: 10⋅X₁₀+40 {O(n)}
t₈₂, X₁₂: 17⋅X₁₂+17⋅X₁₆ {O(n)}
t₈₂, X₁₃: 10⋅X₁₃ {O(n)}
t₈₂, X₁₄: 10⋅X₁₄ {O(n)}
t₈₂, X₁₅: 10⋅X₁₅ {O(n)}
t₈₂, X₁₆: 10⋅X₁₆ {O(n)}
t₈₃, X₁: 20⋅X₁₆ {O(n)}
t₈₃, X₁₀: 20⋅X₁₀+80 {O(n)}
t₈₃, X₁₂: 34⋅X₁₂+34⋅X₁₆ {O(n)}
t₈₃, X₁₃: 20⋅X₁₃ {O(n)}
t₈₃, X₁₄: 20⋅X₁₄ {O(n)}
t₈₃, X₁₅: 20⋅X₁₅ {O(n)}
t₈₃, X₁₆: 20⋅X₁₆ {O(n)}
t₈₄, X₁: 20⋅X₁₆ {O(n)}
t₈₄, X₅: 0 {O(1)}
t₈₄, X₁₀: 20⋅X₁₀+80 {O(n)}
t₈₄, X₁₂: 34⋅X₁₂+34⋅X₁₆ {O(n)}
t₈₄, X₁₃: 20⋅X₁₃ {O(n)}
t₈₄, X₁₄: 20⋅X₁₄ {O(n)}
t₈₄, X₁₅: 20⋅X₁₅ {O(n)}
t₈₄, X₁₆: 20⋅X₁₆ {O(n)}
t₈₅, X₁: 10⋅X₁₆ {O(n)}
t₈₅, X₆: 10⋅X₆ {O(n)}
t₈₅, X₁₀: 10⋅X₁₀+40 {O(n)}
t₈₅, X₁₂: 17⋅X₁₂+17⋅X₁₆ {O(n)}
t₈₅, X₁₃: 10⋅X₁₃ {O(n)}
t₈₅, X₁₄: 10⋅X₁₄ {O(n)}
t₈₅, X₁₅: 10⋅X₁₅ {O(n)}
t₈₅, X₁₆: 10⋅X₁₆ {O(n)}
t₈₆, X₁: 40⋅X₁₆ {O(n)}
t₈₆, X₁₀: 40⋅X₁₀+160 {O(n)}
t₈₆, X₁₂: 68⋅X₁₂+68⋅X₁₆ {O(n)}
t₈₆, X₁₃: 40⋅X₁₃ {O(n)}
t₈₆, X₁₄: 40⋅X₁₄ {O(n)}
t₈₆, X₁₅: 40⋅X₁₅ {O(n)}
t₈₆, X₁₆: 40⋅X₁₆ {O(n)}
t₈₇, X₁: 80⋅X₁₆ {O(n)}
t₈₇, X₁₀: 80⋅X₁₀+320 {O(n)}
t₈₇, X₁₂: 136⋅X₁₂+136⋅X₁₆ {O(n)}
t₈₇, X₁₃: 80⋅X₁₃ {O(n)}
t₈₇, X₁₄: 80⋅X₁₄ {O(n)}
t₈₇, X₁₅: 80⋅X₁₅ {O(n)}
t₈₇, X₁₆: 80⋅X₁₆ {O(n)}
t₈₈, X₁: 40⋅X₁₆ {O(n)}
t₈₈, X₁₀: 40⋅X₁₀+160 {O(n)}
t₈₈, X₁₂: 68⋅X₁₂+68⋅X₁₆ {O(n)}
t₈₈, X₁₃: 40⋅X₁₃ {O(n)}
t₈₈, X₁₄: 40⋅X₁₄ {O(n)}
t₈₈, X₁₅: 40⋅X₁₅ {O(n)}
t₈₈, X₁₆: 40⋅X₁₆ {O(n)}
t₈₉, X₁: 80⋅X₁₆ {O(n)}
t₈₉, X₁₀: 80⋅X₁₀+320 {O(n)}
t₈₉, X₁₂: 136⋅X₁₂+136⋅X₁₆ {O(n)}
t₈₉, X₁₃: 80⋅X₁₃ {O(n)}
t₈₉, X₁₄: 80⋅X₁₄ {O(n)}
t₈₉, X₁₅: 80⋅X₁₅ {O(n)}
t₈₉, X₁₆: 80⋅X₁₆ {O(n)}
t₉₀, X₀: X₀ {O(n)}
t₉₀, X₁: X₁ {O(n)}
t₉₀, X₂: X₂ {O(n)}
t₉₀, X₃: X₃ {O(n)}
t₉₀, X₄: X₄ {O(n)}
t₉₀, X₅: X₅ {O(n)}
t₉₀, X₆: X₆ {O(n)}
t₉₀, X₇: X₇ {O(n)}
t₉₀, X₈: X₈ {O(n)}
t₉₀, X₉: X₉ {O(n)}
t₉₀, X₁₀: X₁₀ {O(n)}
t₉₀, X₁₁: X₁₁ {O(n)}
t₉₀, X₁₂: X₁₂ {O(n)}
t₉₀, X₁₃: X₁₃ {O(n)}
t₉₀, X₁₄: X₁₄ {O(n)}
t₉₀, X₁₅: X₁₅ {O(n)}
t₉₀, X₁₆: X₁₆ {O(n)}
t₁₆₁, X₁: X₁₆ {O(n)}
t₁₆₁, X₃: X₃ {O(n)}
t₁₆₁, X₄: X₄ {O(n)}
t₁₆₁, X₅: X₅ {O(n)}
t₁₆₁, X₆: X₆ {O(n)}
t₁₆₁, X₁₀: X₁₀+12 {O(n)}
t₁₆₁, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₁, X₁₃: X₁₃ {O(n)}
t₁₆₁, X₁₄: X₁₄ {O(n)}
t₁₆₁, X₁₅: X₁₅ {O(n)}
t₁₆₁, X₁₆: X₁₆ {O(n)}
t₁₆₂, X₁: X₁₆ {O(n)}
t₁₆₂, X₃: X₃ {O(n)}
t₁₆₂, X₄: X₄ {O(n)}
t₁₆₂, X₅: X₅ {O(n)}
t₁₆₂, X₆: X₆ {O(n)}
t₁₆₂, X₁₀: X₁₀+12 {O(n)}
t₁₆₂, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₂, X₁₃: X₁₃ {O(n)}
t₁₆₂, X₁₄: X₁₄ {O(n)}
t₁₆₂, X₁₅: X₁₅ {O(n)}
t₁₆₂, X₁₆: X₁₆ {O(n)}
t₁₆₃, X₁: X₁₆ {O(n)}
t₁₆₃, X₃: X₃ {O(n)}
t₁₆₃, X₄: X₄ {O(n)}
t₁₆₃, X₅: X₅ {O(n)}
t₁₆₃, X₆: X₆ {O(n)}
t₁₆₃, X₁₀: X₁₀+12 {O(n)}
t₁₆₃, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₃, X₁₃: X₁₃ {O(n)}
t₁₆₃, X₁₄: X₁₄ {O(n)}
t₁₆₃, X₁₅: X₁₅ {O(n)}
t₁₆₃, X₁₆: X₁₆ {O(n)}
t₁₆₄, X₁: X₁₆ {O(n)}
t₁₆₄, X₃: X₃ {O(n)}
t₁₆₄, X₄: X₄ {O(n)}
t₁₆₄, X₅: X₅ {O(n)}
t₁₆₄, X₆: X₆ {O(n)}
t₁₆₄, X₁₀: X₁₀+12 {O(n)}
t₁₆₄, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₄, X₁₃: X₁₃ {O(n)}
t₁₆₄, X₁₄: X₁₄ {O(n)}
t₁₆₄, X₁₅: X₁₅ {O(n)}
t₁₆₄, X₁₆: X₁₆ {O(n)}
t₁₆₅, X₀: 3 {O(1)}
t₁₆₅, X₁: X₁₆ {O(n)}
t₁₆₅, X₂: 0 {O(1)}
t₁₆₅, X₃: X₃ {O(n)}
t₁₆₅, X₄: X₄ {O(n)}
t₁₆₅, X₅: X₅ {O(n)}
t₁₆₅, X₆: X₆ {O(n)}
t₁₆₅, X₁₀: 2⋅X₁₀+4 {O(n)}
t₁₆₅, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₅, X₁₃: X₁₃ {O(n)}
t₁₆₅, X₁₄: X₁₄ {O(n)}
t₁₆₅, X₁₅: X₁₅ {O(n)}
t₁₆₅, X₁₆: X₁₆ {O(n)}
t₁₆₆, X₀: 3 {O(1)}
t₁₆₆, X₁: X₁₆ {O(n)}
t₁₆₆, X₂: 0 {O(1)}
t₁₆₆, X₃: X₃ {O(n)}
t₁₆₆, X₄: X₄ {O(n)}
t₁₆₆, X₅: X₅ {O(n)}
t₁₆₆, X₆: X₆ {O(n)}
t₁₆₆, X₁₀: 4 {O(1)}
t₁₆₆, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₆, X₁₃: X₁₃ {O(n)}
t₁₆₆, X₁₄: X₁₄ {O(n)}
t₁₆₆, X₁₅: X₁₅ {O(n)}
t₁₆₆, X₁₆: X₁₆ {O(n)}
t₁₆₇, X₀: 3 {O(1)}
t₁₆₇, X₁: X₁₆ {O(n)}
t₁₆₇, X₂: 0 {O(1)}
t₁₆₇, X₃: X₃ {O(n)}
t₁₆₇, X₄: X₄ {O(n)}
t₁₆₇, X₅: X₅ {O(n)}
t₁₆₇, X₆: X₆ {O(n)}
t₁₆₇, X₁₀: 4 {O(1)}
t₁₆₇, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₇, X₁₃: X₁₃ {O(n)}
t₁₆₇, X₁₄: X₁₄ {O(n)}
t₁₆₇, X₁₅: X₁₅ {O(n)}
t₁₆₇, X₁₆: X₁₆ {O(n)}
t₁₆₈, X₀: 4 {O(1)}
t₁₆₈, X₁: X₁₆ {O(n)}
t₁₆₈, X₃: X₃ {O(n)}
t₁₆₈, X₄: X₄ {O(n)}
t₁₆₈, X₅: X₅ {O(n)}
t₁₆₈, X₆: X₆ {O(n)}
t₁₆₈, X₁₀: 4 {O(1)}
t₁₆₈, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₆₈, X₁₃: X₁₃ {O(n)}
t₁₆₈, X₁₄: X₁₄ {O(n)}
t₁₆₈, X₁₅: X₁₅ {O(n)}
t₁₆₈, X₁₆: X₁₆ {O(n)}
t₁₆₉, X₀: 4 {O(1)}
t₁₆₉, X₁: X₁₆ {O(n)}
t₁₆₉, X₃: X₃ {O(n)}
t₁₆₉, X₄: X₄ {O(n)}
t₁₆₉, X₅: X₅ {O(n)}
t₁₆₉, X₆: X₆ {O(n)}
t₁₆₉, X₁₀: 4 {O(1)}
t₁₆₉, X₁₂: 2⋅X₁₂+2⋅X₁₆ {O(n)}
t₁₆₉, X₁₃: X₁₃ {O(n)}
t₁₆₉, X₁₄: X₁₄ {O(n)}
t₁₆₉, X₁₅: X₁₅ {O(n)}
t₁₆₉, X₁₆: X₁₆ {O(n)}
t₁₇₀, X₀: 4 {O(1)}
t₁₇₀, X₁: X₁₆ {O(n)}
t₁₇₀, X₃: X₃ {O(n)}
t₁₇₀, X₄: X₄ {O(n)}
t₁₇₀, X₅: X₅ {O(n)}
t₁₇₀, X₆: X₆ {O(n)}
t₁₇₀, X₁₀: 4 {O(1)}
t₁₇₀, X₁₂: 2⋅X₁₂+2⋅X₁₆ {O(n)}
t₁₇₀, X₁₃: X₁₃ {O(n)}
t₁₇₀, X₁₄: X₁₄ {O(n)}
t₁₇₀, X₁₅: X₁₅ {O(n)}
t₁₇₀, X₁₆: X₁₆ {O(n)}
t₁₇₁, X₀: 4 {O(1)}
t₁₇₁, X₁: X₁₆ {O(n)}
t₁₇₁, X₃: X₃ {O(n)}
t₁₇₁, X₄: X₄ {O(n)}
t₁₇₁, X₅: X₅ {O(n)}
t₁₇₁, X₆: X₆ {O(n)}
t₁₇₁, X₁₀: 4 {O(1)}
t₁₇₁, X₁₂: 2⋅X₁₂+2⋅X₁₆ {O(n)}
t₁₇₁, X₁₃: X₁₃ {O(n)}
t₁₇₁, X₁₄: X₁₄ {O(n)}
t₁₇₁, X₁₅: X₁₅ {O(n)}
t₁₇₁, X₁₆: X₁₆ {O(n)}
t₁₇₂, X₀: 3 {O(1)}
t₁₇₂, X₁: X₁₆ {O(n)}
t₁₇₂, X₂: 0 {O(1)}
t₁₇₂, X₃: X₃ {O(n)}
t₁₇₂, X₄: X₄ {O(n)}
t₁₇₂, X₅: X₅ {O(n)}
t₁₇₂, X₆: X₆ {O(n)}
t₁₇₂, X₁₀: 3 {O(1)}
t₁₇₂, X₁₁: 0 {O(1)}
t₁₇₂, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₇₂, X₁₃: X₁₃ {O(n)}
t₁₇₂, X₁₄: X₁₄ {O(n)}
t₁₇₂, X₁₅: X₁₅ {O(n)}
t₁₇₂, X₁₆: X₁₆ {O(n)}
t₁₇₃, X₀: 3 {O(1)}
t₁₇₃, X₁: X₁₆ {O(n)}
t₁₇₃, X₂: 0 {O(1)}
t₁₇₃, X₃: X₃ {O(n)}
t₁₇₃, X₄: X₄ {O(n)}
t₁₇₃, X₅: X₅ {O(n)}
t₁₇₃, X₆: X₆ {O(n)}
t₁₇₃, X₁₀: 4 {O(1)}
t₁₇₃, X₁₁: 0 {O(1)}
t₁₇₃, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₇₃, X₁₃: X₁₃ {O(n)}
t₁₇₃, X₁₄: X₁₄ {O(n)}
t₁₇₃, X₁₅: X₁₅ {O(n)}
t₁₇₃, X₁₆: X₁₆ {O(n)}
t₁₇₄, X₀: 3 {O(1)}
t₁₇₄, X₁: X₁₆ {O(n)}
t₁₇₄, X₂: 0 {O(1)}
t₁₇₄, X₃: X₃ {O(n)}
t₁₇₄, X₄: X₄ {O(n)}
t₁₇₄, X₅: X₅ {O(n)}
t₁₇₄, X₆: X₆ {O(n)}
t₁₇₄, X₁₀: 4 {O(1)}
t₁₇₄, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₇₄, X₁₃: X₁₃ {O(n)}
t₁₇₄, X₁₄: X₁₄ {O(n)}
t₁₇₄, X₁₅: X₁₅ {O(n)}
t₁₇₄, X₁₆: X₁₆ {O(n)}
t₁₇₅, X₀: 4 {O(1)}
t₁₇₅, X₁: X₁₆ {O(n)}
t₁₇₅, X₃: X₃ {O(n)}
t₁₇₅, X₄: X₄ {O(n)}
t₁₇₅, X₅: X₅ {O(n)}
t₁₇₅, X₆: X₆ {O(n)}
t₁₇₅, X₁₀: 4 {O(1)}
t₁₇₅, X₁₂: X₁₂+X₁₆ {O(n)}
t₁₇₅, X₁₃: X₁₃ {O(n)}
t₁₇₅, X₁₄: X₁₄ {O(n)}
t₁₇₅, X₁₅: X₁₅ {O(n)}
t₁₇₅, X₁₆: X₁₆ {O(n)}