Initial Problem
Start: eval_alain_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars:
Locations: eval_alain_0, eval_alain_1, eval_alain_17, eval_alain_18, eval_alain_19, eval_alain_2, eval_alain_3, eval_alain_4, eval_alain_5, eval_alain_6, eval_alain_bb0_in, eval_alain_bb1_in, eval_alain_bb2_in, eval_alain_bb3_in, eval_alain_bb4_in, eval_alain_bb5_in, eval_alain_bb6_in, eval_alain_bb7_in, eval_alain_start, eval_alain_stop
Transitions:
t₂: eval_alain_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₃: eval_alain_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₄: eval_alain_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₅: eval_alain_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₆: eval_alain_19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb2_in(X₅, X₆, X₅, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₄: eval_alain_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₅: eval_alain_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₆: eval_alain_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₇: eval_alain_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₁₀: eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₀+X₁₁ ≤ X₈ ∧ 1+2⋅X₁₀ ≤ X₈
t₈: eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₈ ≤ 2⋅X₁₀
t₉: eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₈ ≤ X₁₀+X₁₁
t₁: eval_alain_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₁₁: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb2_in(X₁₁, X₇, X₈, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₇ ∧ 0 ≤ X₈ ∧ 0 ≤ X₉ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₁
t₁₂: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₁ ≤ 0
t₁₃: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₉ ≤ 0
t₁₄: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₀ ≤ 0
t₁₅: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₇ ≤ 0
t₁₆: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₈ ≤ 0
t₁₇: eval_alain_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₁-1, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₁
t₁₈: eval_alain_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 0
t₁₉: eval_alain_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb4_in(X₀, X₁, X₂, X₀, X₂, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₀: eval_alain_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₄
t₂₁: eval_alain_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₄ ≤ 0
t₂₂: eval_alain_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb4_in(X₀, X₁, X₂, X₁₀, X₄-1, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₃: eval_alain_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_17(X₀, X₁, X₂, X₃, X₄, X₃+X₁₀, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₇: eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₀: eval_alain_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
Preprocessing
Found invariant 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb4_in
Found invariant 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb6_in
Found invariant 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 1 ≤ X₄+X₉ ∧ 0 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₂ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₁₁ ∧ 1 ≤ X₂+X₁₀ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb5_in
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 0 ≤ X₇+X₁₁ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₀+X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb2_in
Found invariant 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb3_in
Found invariant 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_17
Found invariant 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_19
Found invariant 0 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_18
Problem after Preprocessing
Start: eval_alain_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars:
Locations: eval_alain_0, eval_alain_1, eval_alain_17, eval_alain_18, eval_alain_19, eval_alain_2, eval_alain_3, eval_alain_4, eval_alain_5, eval_alain_6, eval_alain_bb0_in, eval_alain_bb1_in, eval_alain_bb2_in, eval_alain_bb3_in, eval_alain_bb4_in, eval_alain_bb5_in, eval_alain_bb6_in, eval_alain_bb7_in, eval_alain_start, eval_alain_stop
Transitions:
t₂: eval_alain_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₃: eval_alain_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₄: eval_alain_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₂₅: eval_alain_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₂₆: eval_alain_19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb2_in(X₅, X₆, X₅, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₄: eval_alain_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₅: eval_alain_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₆: eval_alain_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₇: eval_alain_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₁₀: eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₀+X₁₁ ≤ X₈ ∧ 1+2⋅X₁₀ ≤ X₈
t₈: eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₈ ≤ 2⋅X₁₀
t₉: eval_alain_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₈ ≤ X₁₀+X₁₁
t₁: eval_alain_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₁₁: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb2_in(X₁₁, X₇, X₈, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₇ ∧ 0 ≤ X₈ ∧ 0 ≤ X₉ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₁
t₁₂: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₁ ≤ 0
t₁₃: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₉ ≤ 0
t₁₄: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₀ ≤ 0
t₁₅: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₇ ≤ 0
t₁₆: eval_alain_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₈ ≤ 0
t₁₇: eval_alain_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₁-1, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₇ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₁+X₉ ∧ 0 ≤ X₁+X₁₀ ∧ 0 ≤ X₁+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₇ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₉ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₇+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₁₈: eval_alain_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₇ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₁+X₉ ∧ 0 ≤ X₁+X₁₀ ∧ 0 ≤ X₁+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₇ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₉ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₇+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₁₉: eval_alain_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb4_in(X₀, X₁, X₂, X₀, X₂, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₂₀: eval_alain_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₄ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₂₁: eval_alain_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₄ ≤ 0 ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₂₂: eval_alain_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb4_in(X₀, X₁, X₂, X₁₀, X₄-1, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₉ ∧ 1 ≤ X₂+X₁₀ ∧ 1 ≤ X₂+X₁₁ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₄+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₂₃: eval_alain_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_17(X₀, X₁, X₂, X₃, X₄, X₃+X₁₀, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁
t₂₇: eval_alain_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₀: eval_alain_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
MPRF for transition t₁₇: eval_alain_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₁-1, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₇ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₇ ∧ 0 ≤ X₁+X₉ ∧ 0 ≤ X₁+X₁₀ ∧ 0 ≤ X₁+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₇ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₉ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₇+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₇ {O(n)}
MPRF:
• eval_alain_17: [X₆]
• eval_alain_18: [X₆]
• eval_alain_19: [X₆]
• eval_alain_bb2_in: [X₁]
• eval_alain_bb3_in: [X₆]
• eval_alain_bb4_in: [X₁-1]
• eval_alain_bb5_in: [X₆]
• eval_alain_bb6_in: [X₁-1]
MPRF for transition t₁₉: eval_alain_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb4_in(X₀, X₁, X₂, X₀, X₂, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₇ {O(n)}
MPRF:
• eval_alain_17: [X₁-1]
• eval_alain_18: [X₆]
• eval_alain_19: [X₆]
• eval_alain_bb2_in: [X₁]
• eval_alain_bb3_in: [X₁]
• eval_alain_bb4_in: [X₁-1]
• eval_alain_bb5_in: [X₆]
• eval_alain_bb6_in: [X₆]
MPRF for transition t₂₁: eval_alain_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₄ ≤ 0 ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₇ {O(n)}
MPRF:
• eval_alain_17: [X₆]
• eval_alain_18: [X₆]
• eval_alain_19: [X₆]
• eval_alain_bb2_in: [X₁]
• eval_alain_bb3_in: [X₁]
• eval_alain_bb4_in: [1+X₆]
• eval_alain_bb5_in: [1+X₆]
• eval_alain_bb6_in: [X₆]
MPRF for transition t₂₃: eval_alain_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_17(X₀, X₁, X₂, X₃, X₄, X₃+X₁₀, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₇ {O(n)}
MPRF:
• eval_alain_17: [X₁-1]
• eval_alain_18: [X₆]
• eval_alain_19: [X₆]
• eval_alain_bb2_in: [X₁]
• eval_alain_bb3_in: [X₁]
• eval_alain_bb4_in: [X₁]
• eval_alain_bb5_in: [X₁]
• eval_alain_bb6_in: [X₁]
MPRF for transition t₂₄: eval_alain_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₇+1 {O(n)}
MPRF:
• eval_alain_17: [2+X₆]
• eval_alain_18: [X₁]
• eval_alain_19: [X₁]
• eval_alain_bb2_in: [1+X₁]
• eval_alain_bb3_in: [2+X₆]
• eval_alain_bb4_in: [1+X₁]
• eval_alain_bb5_in: [2⋅X₁-X₆]
• eval_alain_bb6_in: [2⋅X₁-X₆]
MPRF for transition t₂₅: eval_alain_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₇+1 {O(n)}
MPRF:
• eval_alain_17: [2⋅X₁-X₆]
• eval_alain_18: [2+X₆]
• eval_alain_19: [X₁]
• eval_alain_bb2_in: [1+X₁]
• eval_alain_bb3_in: [2+X₆]
• eval_alain_bb4_in: [1+X₁]
• eval_alain_bb5_in: [2+X₆]
• eval_alain_bb6_in: [1+X₁]
MPRF for transition t₂₆: eval_alain_19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb2_in(X₅, X₆, X₅, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₉ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₇+X₉ {O(n)}
MPRF:
• eval_alain_17: [1+X₆+X₉]
• eval_alain_18: [X₁+X₉]
• eval_alain_19: [1+X₆+X₉]
• eval_alain_bb2_in: [X₁+X₉]
• eval_alain_bb3_in: [1+X₆+X₉]
• eval_alain_bb4_in: [X₁+X₉]
• eval_alain_bb5_in: [X₁+X₉]
• eval_alain_bb6_in: [X₁+X₉]
MPRF for transition t₂₀: eval_alain_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₄ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₄+X₁₀ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₁₀⋅X₇⋅X₇+X₁₀⋅X₇⋅X₉+3⋅X₁₀⋅X₇+3⋅X₁₀⋅X₉+X₁₁⋅X₇+X₁₁⋅X₉+X₇⋅X₇+X₇⋅X₉+X₁₀+X₇+X₈ {O(n^3)}
MPRF:
• eval_alain_17: [X₅-X₃]
• eval_alain_18: [X₅-X₃]
• eval_alain_19: [X₅-X₃]
• eval_alain_bb2_in: [X₂+X₇+X₁₀]
• eval_alain_bb3_in: [X₂+X₇+X₁₀]
• eval_alain_bb4_in: [1+X₄+X₁₀]
• eval_alain_bb5_in: [X₄+X₁₀]
• eval_alain_bb6_in: [X₁₀]
MPRF for transition t₂₂: eval_alain_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_alain_bb4_in(X₀, X₁, X₂, X₁₀, X₄-1, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₁+X₁₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₆ ∧ 1 ≤ X₂+X₉ ∧ 1 ≤ X₂+X₁₀ ∧ 1 ≤ X₂+X₁₁ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₇ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₇+X₁₁ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₄+X₇ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₀+X₁₁ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₃+X₁₀ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₆+X₁₀ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₉ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁₁ of depth 1:
new bound:
X₁₀⋅X₇⋅X₇+X₁₀⋅X₇⋅X₉+2⋅X₁₀⋅X₇+2⋅X₁₀⋅X₉+X₁₁⋅X₇+X₁₁⋅X₉+X₈ {O(n^3)}
MPRF:
• eval_alain_17: [X₄+X₅-X₃-X₁₀]
• eval_alain_18: [X₅-X₃-X₁₀]
• eval_alain_19: [X₅-X₃-X₁₀]
• eval_alain_bb2_in: [X₂]
• eval_alain_bb3_in: [X₂]
• eval_alain_bb4_in: [X₄]
• eval_alain_bb5_in: [X₄]
• eval_alain_bb6_in: [X₄]
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 1 ≤ X₄+X₉ ∧ 0 ≤ X₃+X₉ ∧ 2 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 1 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ 2 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ 1 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ X₁₀ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₁₁ ∧ 2 ≤ X₂+X₁₀ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb5_in_v2
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb4_in
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb6_in
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 0 ≤ X₇+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 0 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ 0 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 0 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 0 ≤ X₇ ∧ 0 ≤ X₂+X₇ ∧ 0 ≤ X₇+X₁₁ ∧ 0 ≤ X₇+X₁₀ ∧ 0 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 0 ≤ X₀+X₇ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 0 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb2_in
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 1 ≤ X₄+X₉ ∧ 0 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 1 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ 1 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₄+X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₂ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₁₁ ∧ 1 ≤ X₂+X₁₀ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb5_in_v1
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb3_in
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₅+X₈ ∧ 0 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_17
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₅+X₈ ∧ 0 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_19
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₅+X₉ ∧ 0 ≤ X₄+X₉ ∧ X₄ ≤ X₉ ∧ 0 ≤ X₃+X₉ ∧ 0 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₅+X₈ ∧ 0 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 0 ≤ X₃+X₈ ∧ 0 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₅+X₇ ∧ 1 ≤ X₄+X₇ ∧ 1+X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₅+X₁₁ ∧ 0 ≤ X₅+X₁₀ ∧ X₁₀ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₁₁ ∧ X₄ ≤ X₁₀ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₁₁ ∧ 0 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_18
Found invariant 0 ≤ X₉ ∧ 0 ≤ X₈+X₉ ∧ 1 ≤ X₇+X₉ ∧ 0 ≤ X₆+X₉ ∧ 0 ≤ X₄+X₉ ∧ 0 ≤ X₃+X₉ ∧ 1 ≤ X₂+X₉ ∧ 0 ≤ X₉+X₁₁ ∧ 0 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 0 ≤ X₀+X₉ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₃+X₈ ∧ 1 ≤ X₂+X₈ ∧ 0 ≤ X₈+X₁₁ ∧ 0 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ 1 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 1 ≤ X₄+X₇ ∧ 1 ≤ X₃+X₇ ∧ 2 ≤ X₂+X₇ ∧ 1 ≤ X₇+X₁₁ ∧ 1 ≤ X₇+X₁₀ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ 0 ≤ X₆+X₁₁ ∧ 0 ≤ X₆+X₁₀ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ 1+X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₄+X₁₁ ∧ 0 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₃ ≤ X₁₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₃+X₁₁ ∧ 0 ≤ X₃+X₁₀ ∧ X₁₀ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₁₁ ∧ 1 ≤ X₂+X₁₀ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁₁ ∧ 0 ≤ X₁₀+X₁₁ ∧ 1 ≤ X₁+X₁₁ ∧ 0 ≤ X₀+X₁₁ ∧ 0 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 0 ≤ X₀+X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_alain_bb4_in_v1
All Bounds
Timebounds
Overall timebound:2⋅X₁₀⋅X₇⋅X₇+2⋅X₁₀⋅X₇⋅X₉+2⋅X₁₁⋅X₇+2⋅X₁₁⋅X₉+5⋅X₁₀⋅X₇+5⋅X₁₀⋅X₉+X₇⋅X₇+X₇⋅X₉+2⋅X₈+8⋅X₇+X₁₀+X₉+21 {O(n^3)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: X₇ {O(n)}
t₁₈: 1 {O(1)}
t₁₉: X₇ {O(n)}
t₂₀: X₁₀⋅X₇⋅X₇+X₁₀⋅X₇⋅X₉+3⋅X₁₀⋅X₇+3⋅X₁₀⋅X₉+X₁₁⋅X₇+X₁₁⋅X₉+X₇⋅X₇+X₇⋅X₉+X₁₀+X₇+X₈ {O(n^3)}
t₂₁: X₇ {O(n)}
t₂₂: X₁₀⋅X₇⋅X₇+X₁₀⋅X₇⋅X₉+2⋅X₁₀⋅X₇+2⋅X₁₀⋅X₉+X₁₁⋅X₇+X₁₁⋅X₉+X₈ {O(n^3)}
t₂₃: X₇ {O(n)}
t₂₄: X₇+1 {O(n)}
t₂₅: X₇+1 {O(n)}
t₂₆: X₇+X₉ {O(n)}
t₂₇: 1 {O(1)}
Costbounds
Overall costbound: 2⋅X₁₀⋅X₇⋅X₇+2⋅X₁₀⋅X₇⋅X₉+2⋅X₁₁⋅X₇+2⋅X₁₁⋅X₉+5⋅X₁₀⋅X₇+5⋅X₁₀⋅X₉+X₇⋅X₇+X₇⋅X₉+2⋅X₈+8⋅X₇+X₁₀+X₉+21 {O(n^3)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: X₇ {O(n)}
t₁₈: 1 {O(1)}
t₁₉: X₇ {O(n)}
t₂₀: X₁₀⋅X₇⋅X₇+X₁₀⋅X₇⋅X₉+3⋅X₁₀⋅X₇+3⋅X₁₀⋅X₉+X₁₁⋅X₇+X₁₁⋅X₉+X₇⋅X₇+X₇⋅X₉+X₁₀+X₇+X₈ {O(n^3)}
t₂₁: X₇ {O(n)}
t₂₂: X₁₀⋅X₇⋅X₇+X₁₀⋅X₇⋅X₉+2⋅X₁₀⋅X₇+2⋅X₁₀⋅X₉+X₁₁⋅X₇+X₁₁⋅X₉+X₈ {O(n^3)}
t₂₃: X₇ {O(n)}
t₂₄: X₇+1 {O(n)}
t₂₅: X₇+1 {O(n)}
t₂₆: X₇+X₉ {O(n)}
t₂₇: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₀, X₈: X₈ {O(n)}
t₀, X₉: X₉ {O(n)}
t₀, X₁₀: X₁₀ {O(n)}
t₀, X₁₁: X₁₁ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₁, X₉: X₉ {O(n)}
t₁, X₁₀: X₁₀ {O(n)}
t₁, X₁₁: X₁₁ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₂, X₉: X₉ {O(n)}
t₂, X₁₀: X₁₀ {O(n)}
t₂, X₁₁: X₁₁ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₇ {O(n)}
t₃, X₈: X₈ {O(n)}
t₃, X₉: X₉ {O(n)}
t₃, X₁₀: X₁₀ {O(n)}
t₃, X₁₁: X₁₁ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}
t₄, X₈: X₈ {O(n)}
t₄, X₉: X₉ {O(n)}
t₄, X₁₀: X₁₀ {O(n)}
t₄, X₁₁: X₁₁ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: X₇ {O(n)}
t₅, X₈: X₈ {O(n)}
t₅, X₉: X₉ {O(n)}
t₅, X₁₀: X₁₀ {O(n)}
t₅, X₁₁: X₁₁ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₇ {O(n)}
t₆, X₈: X₈ {O(n)}
t₆, X₉: X₉ {O(n)}
t₆, X₁₀: X₁₀ {O(n)}
t₆, X₁₁: X₁₁ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₇, X₇: X₇ {O(n)}
t₇, X₈: X₈ {O(n)}
t₇, X₉: X₉ {O(n)}
t₇, X₁₀: X₁₀ {O(n)}
t₇, X₁₁: X₁₁ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₈, X₇: X₇ {O(n)}
t₈, X₈: X₈ {O(n)}
t₈, X₉: X₉ {O(n)}
t₈, X₁₀: X₁₀ {O(n)}
t₈, X₁₁: X₁₁ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₆ {O(n)}
t₉, X₇: X₇ {O(n)}
t₉, X₈: X₈ {O(n)}
t₉, X₉: X₉ {O(n)}
t₉, X₁₀: X₁₀ {O(n)}
t₉, X₁₁: X₁₁ {O(n)}
t₁₀, X₀: X₀ {O(n)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₆ {O(n)}
t₁₀, X₇: X₇ {O(n)}
t₁₀, X₈: X₈ {O(n)}
t₁₀, X₉: X₉ {O(n)}
t₁₀, X₁₀: X₁₀ {O(n)}
t₁₀, X₁₁: X₁₁ {O(n)}
t₁₁, X₀: X₁₁ {O(n)}
t₁₁, X₁: X₇ {O(n)}
t₁₁, X₂: X₈ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₁, X₇: X₇ {O(n)}
t₁₁, X₈: X₈ {O(n)}
t₁₁, X₉: X₉ {O(n)}
t₁₁, X₁₀: X₁₀ {O(n)}
t₁₁, X₁₁: X₁₁ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₂, X₇: X₇ {O(n)}
t₁₂, X₈: X₈ {O(n)}
t₁₂, X₉: X₉ {O(n)}
t₁₂, X₁₀: X₁₀ {O(n)}
t₁₂, X₁₁: X₁₁ {O(n)}
t₁₃, X₀: X₀ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₃, X₆: X₆ {O(n)}
t₁₃, X₇: X₇ {O(n)}
t₁₃, X₈: X₈ {O(n)}
t₁₃, X₉: X₉ {O(n)}
t₁₃, X₁₀: X₁₀ {O(n)}
t₁₃, X₁₁: X₁₁ {O(n)}
t₁₄, X₀: X₀ {O(n)}
t₁₄, X₁: X₁ {O(n)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₄, X₆: X₆ {O(n)}
t₁₄, X₇: X₇ {O(n)}
t₁₄, X₈: X₈ {O(n)}
t₁₄, X₉: X₉ {O(n)}
t₁₄, X₁₀: X₁₀ {O(n)}
t₁₄, X₁₁: X₁₁ {O(n)}
t₁₅, X₀: X₀ {O(n)}
t₁₅, X₁: X₁ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: X₅ {O(n)}
t₁₅, X₆: X₆ {O(n)}
t₁₅, X₇: X₇ {O(n)}
t₁₅, X₈: X₈ {O(n)}
t₁₅, X₉: X₉ {O(n)}
t₁₅, X₁₀: X₁₀ {O(n)}
t₁₅, X₁₁: X₁₁ {O(n)}
t₁₆, X₀: X₀ {O(n)}
t₁₆, X₁: X₁ {O(n)}
t₁₆, X₂: X₂ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₆, X₅: X₅ {O(n)}
t₁₆, X₆: X₆ {O(n)}
t₁₆, X₇: X₇ {O(n)}
t₁₆, X₈: X₈ {O(n)}
t₁₆, X₉: X₉ {O(n)}
t₁₆, X₁₀: X₁₀ {O(n)}
t₁₆, X₁₁: X₁₁ {O(n)}
t₁₇, X₀: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₁₇, X₁: X₇ {O(n)}
t₁₇, X₂: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₁₇, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₃ {O(n^2)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₅ {O(n^2)}
t₁₇, X₆: 2⋅X₇ {O(n)}
t₁₇, X₇: X₇ {O(n)}
t₁₇, X₈: X₈ {O(n)}
t₁₇, X₉: X₉ {O(n)}
t₁₇, X₁₀: X₁₀ {O(n)}
t₁₇, X₁₁: X₁₁ {O(n)}
t₁₈, X₀: X₁₀⋅X₇+2⋅X₁₀+2⋅X₁₁ {O(n^2)}
t₁₈, X₁: 0 {O(1)}
t₁₈, X₂: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₁₈, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₃ {O(n^2)}
t₁₈, X₄: X₄ {O(n)}
t₁₈, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₅ {O(n^2)}
t₁₈, X₆: 4⋅X₇+X₆ {O(n)}
t₁₈, X₇: 2⋅X₇ {O(n)}
t₁₈, X₈: 2⋅X₈ {O(n)}
t₁₈, X₉: 2⋅X₉ {O(n)}
t₁₈, X₁₀: 2⋅X₁₀ {O(n)}
t₁₈, X₁₁: 2⋅X₁₁ {O(n)}
t₁₉, X₀: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₁₉, X₁: X₇ {O(n)}
t₁₉, X₂: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₁₉, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₁₉, X₄: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₁₉, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₅ {O(n^2)}
t₁₉, X₆: 2⋅X₇ {O(n)}
t₁₉, X₇: X₇ {O(n)}
t₁₉, X₈: X₈ {O(n)}
t₁₉, X₉: X₉ {O(n)}
t₁₉, X₁₀: X₁₀ {O(n)}
t₁₉, X₁₁: X₁₁ {O(n)}
t₂₀, X₀: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₀, X₁: X₇ {O(n)}
t₂₀, X₂: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₂₀, X₃: X₁₀⋅X₇+3⋅X₁₀+X₁₁ {O(n^2)}
t₂₀, X₄: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₂₀, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₅ {O(n^2)}
t₂₀, X₆: 2⋅X₇ {O(n)}
t₂₀, X₇: X₇ {O(n)}
t₂₀, X₈: X₈ {O(n)}
t₂₀, X₉: X₉ {O(n)}
t₂₀, X₁₀: X₁₀ {O(n)}
t₂₀, X₁₁: X₁₁ {O(n)}
t₂₁, X₀: 2⋅X₁₀⋅X₇+2⋅X₁₁+4⋅X₁₀ {O(n^2)}
t₂₁, X₁: X₇ {O(n)}
t₂₁, X₂: 2⋅X₁₀⋅X₇+2⋅X₁₁+2⋅X₈+4⋅X₁₀ {O(n^2)}
t₂₁, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₁, X₄: 0 {O(1)}
t₂₁, X₅: 2⋅X₁₀⋅X₇+2⋅X₁₁+2⋅X₅+4⋅X₁₀ {O(n^2)}
t₂₁, X₆: 4⋅X₇ {O(n)}
t₂₁, X₇: X₇ {O(n)}
t₂₁, X₈: X₈ {O(n)}
t₂₁, X₉: X₉ {O(n)}
t₂₁, X₁₀: X₁₀ {O(n)}
t₂₁, X₁₁: X₁₁ {O(n)}
t₂₂, X₀: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₂, X₁: X₇ {O(n)}
t₂₂, X₂: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₂₂, X₃: X₁₀ {O(n)}
t₂₂, X₄: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₈ {O(n^2)}
t₂₂, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁+X₅ {O(n^2)}
t₂₂, X₆: 2⋅X₇ {O(n)}
t₂₂, X₇: X₇ {O(n)}
t₂₂, X₈: X₈ {O(n)}
t₂₂, X₉: X₉ {O(n)}
t₂₂, X₁₀: X₁₀ {O(n)}
t₂₂, X₁₁: X₁₁ {O(n)}
t₂₃, X₀: 2⋅X₁₀⋅X₇+2⋅X₁₁+4⋅X₁₀ {O(n^2)}
t₂₃, X₁: X₇ {O(n)}
t₂₃, X₂: 2⋅X₁₀⋅X₇+2⋅X₁₁+2⋅X₈+4⋅X₁₀ {O(n^2)}
t₂₃, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₃, X₄: 0 {O(1)}
t₂₃, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₃, X₆: 4⋅X₇ {O(n)}
t₂₃, X₇: X₇ {O(n)}
t₂₃, X₈: X₈ {O(n)}
t₂₃, X₉: X₉ {O(n)}
t₂₃, X₁₀: X₁₀ {O(n)}
t₂₃, X₁₁: X₁₁ {O(n)}
t₂₄, X₀: 2⋅X₁₀⋅X₇+2⋅X₁₁+4⋅X₁₀ {O(n^2)}
t₂₄, X₁: X₇ {O(n)}
t₂₄, X₂: 2⋅X₁₀⋅X₇+2⋅X₁₁+2⋅X₈+4⋅X₁₀ {O(n^2)}
t₂₄, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₄, X₄: 0 {O(1)}
t₂₄, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₄, X₆: 4⋅X₇ {O(n)}
t₂₄, X₇: X₇ {O(n)}
t₂₄, X₈: X₈ {O(n)}
t₂₄, X₉: X₉ {O(n)}
t₂₄, X₁₀: X₁₀ {O(n)}
t₂₄, X₁₁: X₁₁ {O(n)}
t₂₅, X₀: 2⋅X₁₀⋅X₇+2⋅X₁₁+4⋅X₁₀ {O(n^2)}
t₂₅, X₁: X₇ {O(n)}
t₂₅, X₂: 2⋅X₁₀⋅X₇+2⋅X₁₁+2⋅X₈+4⋅X₁₀ {O(n^2)}
t₂₅, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₅, X₄: 0 {O(1)}
t₂₅, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₅, X₆: 4⋅X₇ {O(n)}
t₂₅, X₇: X₇ {O(n)}
t₂₅, X₈: X₈ {O(n)}
t₂₅, X₉: X₉ {O(n)}
t₂₅, X₁₀: X₁₀ {O(n)}
t₂₅, X₁₁: X₁₁ {O(n)}
t₂₆, X₀: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₆, X₁: X₇ {O(n)}
t₂₆, X₂: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₆, X₃: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₆, X₄: 0 {O(1)}
t₂₆, X₅: X₁₀⋅X₇+2⋅X₁₀+X₁₁ {O(n^2)}
t₂₆, X₆: 4⋅X₇ {O(n)}
t₂₆, X₇: X₇ {O(n)}
t₂₆, X₈: X₈ {O(n)}
t₂₆, X₉: X₉ {O(n)}
t₂₆, X₁₀: X₁₀ {O(n)}
t₂₆, X₁₁: X₁₁ {O(n)}
t₂₇, X₀: X₁₀⋅X₇+2⋅X₁₀+2⋅X₁₁+7⋅X₀ {O(n^2)}
t₂₇, X₁: 7⋅X₁ {O(n)}
t₂₇, X₂: X₁₀⋅X₇+2⋅X₁₀+7⋅X₂+X₁₁+X₈ {O(n^2)}
t₂₇, X₃: X₁₀⋅X₇+2⋅X₁₀+8⋅X₃+X₁₁ {O(n^2)}
t₂₇, X₄: 8⋅X₄ {O(n)}
t₂₇, X₅: X₁₀⋅X₇+2⋅X₁₀+8⋅X₅+X₁₁ {O(n^2)}
t₂₇, X₆: 4⋅X₇+8⋅X₆ {O(n)}
t₂₇, X₇: 9⋅X₇ {O(n)}
t₂₇, X₈: 9⋅X₈ {O(n)}
t₂₇, X₉: 9⋅X₉ {O(n)}
t₂₇, X₁₀: 9⋅X₁₀ {O(n)}
t₂₇, X₁₁: 9⋅X₁₁ {O(n)}