Initial Problem
Start: eval_ex_paper1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars: nondef.0
Locations: eval_ex_paper1_10, eval_ex_paper1_11, eval_ex_paper1_3, eval_ex_paper1_4, eval_ex_paper1_6, eval_ex_paper1_7, eval_ex_paper1_bb0_in, eval_ex_paper1_bb1_in, eval_ex_paper1_bb2_in, eval_ex_paper1_bb3_in, eval_ex_paper1_bb4_in, eval_ex_paper1_bb5_in, eval_ex_paper1_bb6_in, eval_ex_paper1_bb7_in, eval_ex_paper1_bb8_in, eval_ex_paper1_bb9_in, eval_ex_paper1_start, eval_ex_paper1_stop
Transitions:
t₂₅: eval_ex_paper1_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₆: eval_ex_paper1_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈, X₉, X₁₀, X₁₁)
t₉: eval_ex_paper1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁)
t₁₂: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₅, X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₆ ∧ X₆ ≤ 0
t₁₃: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₅, X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 0
t₁₀: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1+X₆ ≤ 0
t₁₁: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1 ≤ X₆
t₁₆: eval_ex_paper1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₁₇: eval_ex_paper1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb3_in(X₀, X₁, X₇, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₃: eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₉, X₁₀, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₉ ∧ 1 ≤ X₁₀
t₁: eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₉ ≤ 0
t₂: eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁₀ ≤ 0
t₄: eval_ex_paper1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀
t₅: eval_ex_paper1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₁, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 0
t₆: eval_ex_paper1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb3_in(X₀, X₁, 1+X₁, X₃, X₄, X₀-1, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₇: eval_ex_paper1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₁₄: eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₂-1, X₈, X₉, X₁₀, X₁₁)
t₁₈: eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₃
t₁₉: eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 0
t₂₀: eval_ex_paper1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₃-1, X₅, X₆, X₇, 0, X₉, X₁₀, X₁₁)
t₂₂: eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁₁ ≤ X₈
t₂₁: eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₈ ≤ X₁₁
t₂₃: eval_ex_paper1_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂₇: eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₀: eval_ex_paper1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
Preprocessing
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_4
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_3
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb5_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₂ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₇+X₁₀ ∧ 0 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_ex_paper1_7
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb6_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₁₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_10
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₁₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_11
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₂ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₇+X₁₀ ∧ 0 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_ex_paper1_6
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_bb2_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_bb3_in
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 0 ≤ X₀ for location eval_ex_paper1_bb1_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_ex_paper1_bb4_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb7_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₁₁ ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb8_in
Problem after Preprocessing
Start: eval_ex_paper1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars: nondef.0
Locations: eval_ex_paper1_10, eval_ex_paper1_11, eval_ex_paper1_3, eval_ex_paper1_4, eval_ex_paper1_6, eval_ex_paper1_7, eval_ex_paper1_bb0_in, eval_ex_paper1_bb1_in, eval_ex_paper1_bb2_in, eval_ex_paper1_bb3_in, eval_ex_paper1_bb4_in, eval_ex_paper1_bb5_in, eval_ex_paper1_bb6_in, eval_ex_paper1_bb7_in, eval_ex_paper1_bb8_in, eval_ex_paper1_bb9_in, eval_ex_paper1_start, eval_ex_paper1_stop
Transitions:
t₂₅: eval_ex_paper1_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈
t₂₆: eval_ex_paper1_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈
t₉: eval_ex_paper1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
t₁₂: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₅, X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
t₁₃: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₅, X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 0 ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
t₁₀: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1+X₆ ≤ 0 ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
t₁₁: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1 ≤ X₆ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
t₁₆: eval_ex_paper1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₇ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₂+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₁+X₇ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₇
t₁₇: eval_ex_paper1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb3_in(X₀, X₁, X₇, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₇ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₂+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₁+X₇ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₇
t₃: eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₉, X₁₀, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₉ ∧ 1 ≤ X₁₀
t₁: eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₉ ≤ 0
t₂: eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁₀ ≤ 0
t₄: eval_ex_paper1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₉
t₅: eval_ex_paper1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₁, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 0 ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₉
t₆: eval_ex_paper1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb3_in(X₀, X₁, 1+X₁, X₃, X₄, X₀-1, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉
t₇: eval_ex_paper1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
t₁₄: eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₂-1, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₂+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₅
t₁₈: eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₁
t₁₉: eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 0 ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₁
t₂₀: eval_ex_paper1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₃-1, X₅, X₆, X₇, 0, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₁
t₂₂: eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁₁ ≤ X₈ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈
t₂₁: eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₈ ≤ X₁₁ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈
t₂₃: eval_ex_paper1_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈
t₂₇: eval_ex_paper1_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₀: eval_ex_paper1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
MPRF for transition t₄: eval_ex_paper1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₉ of depth 1:
new bound:
X₉+1 {O(n)}
MPRF:
• eval_ex_paper1_3: [1+X₅]
• eval_ex_paper1_4: [1+X₅]
• eval_ex_paper1_6: [X₀]
• eval_ex_paper1_7: [X₀]
• eval_ex_paper1_bb1_in: [1+X₀]
• eval_ex_paper1_bb2_in: [X₀]
• eval_ex_paper1_bb3_in: [1+X₅]
• eval_ex_paper1_bb4_in: [X₀]
MPRF for transition t₆: eval_ex_paper1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb3_in(X₀, X₁, 1+X₁, X₃, X₄, X₀-1, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ of depth 1:
new bound:
X₉ {O(n)}
MPRF:
• eval_ex_paper1_3: [X₅]
• eval_ex_paper1_4: [X₅]
• eval_ex_paper1_6: [X₅]
• eval_ex_paper1_7: [X₅]
• eval_ex_paper1_bb1_in: [X₀]
• eval_ex_paper1_bb2_in: [X₀]
• eval_ex_paper1_bb3_in: [X₅]
• eval_ex_paper1_bb4_in: [X₅]
MPRF for transition t₁₀: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1+X₆ ≤ 0 ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₁₀+X₉ {O(n)}
MPRF:
• eval_ex_paper1_3: [X₀+X₂-1]
• eval_ex_paper1_4: [X₂+X₅]
• eval_ex_paper1_6: [X₀+2⋅X₇-X₂]
• eval_ex_paper1_7: [X₀+2⋅X₇-X₂]
• eval_ex_paper1_bb1_in: [X₀+X₁]
• eval_ex_paper1_bb2_in: [X₀+X₁]
• eval_ex_paper1_bb3_in: [X₀+X₂-1]
• eval_ex_paper1_bb4_in: [X₂+X₅-1]
MPRF for transition t₁₁: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₂ ∧ 1 ≤ X₆ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₁₀+X₉ {O(n)}
MPRF:
• eval_ex_paper1_3: [X₀+X₂-1]
• eval_ex_paper1_4: [X₂+X₅]
• eval_ex_paper1_6: [X₂+X₅-1]
• eval_ex_paper1_7: [X₅+X₇]
• eval_ex_paper1_bb1_in: [X₀+X₁]
• eval_ex_paper1_bb2_in: [X₀+X₁]
• eval_ex_paper1_bb3_in: [X₂+X₅]
• eval_ex_paper1_bb4_in: [X₂+X₅-1]
MPRF for transition t₁₂: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₅, X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅ of depth 1:
new bound:
2⋅X₉+1 {O(n)}
MPRF:
• eval_ex_paper1_3: [X₅+X₉]
• eval_ex_paper1_4: [X₅+X₉]
• eval_ex_paper1_6: [X₅+X₉]
• eval_ex_paper1_7: [X₅+X₉]
• eval_ex_paper1_bb1_in: [X₀+X₉-1]
• eval_ex_paper1_bb2_in: [X₀+X₉-1]
• eval_ex_paper1_bb3_in: [X₅+X₉]
• eval_ex_paper1_bb4_in: [X₅+X₉]
MPRF for transition t₁₃: eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb1_in(X₅, X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 0 ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₉ {O(n)}
MPRF:
• eval_ex_paper1_3: [X₀]
• eval_ex_paper1_4: [1+X₅]
• eval_ex_paper1_6: [X₀]
• eval_ex_paper1_7: [X₀]
• eval_ex_paper1_bb1_in: [X₀]
• eval_ex_paper1_bb2_in: [X₀]
• eval_ex_paper1_bb3_in: [X₀]
• eval_ex_paper1_bb4_in: [1+X₅]
MPRF for transition t₁₄: eval_ex_paper1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₂-1, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₂+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₁₀+X₉+2 {O(n)}
MPRF:
• eval_ex_paper1_3: [2+X₂+X₅]
• eval_ex_paper1_4: [1+X₀+X₂]
• eval_ex_paper1_6: [1+X₀+X₇]
• eval_ex_paper1_7: [1+X₀+X₇]
• eval_ex_paper1_bb1_in: [2+X₀+X₁]
• eval_ex_paper1_bb2_in: [2+X₀+X₁]
• eval_ex_paper1_bb3_in: [1+X₀+X₂]
• eval_ex_paper1_bb4_in: [1+X₀+X₂]
MPRF for transition t₁₆: eval_ex_paper1_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₇ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₂+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₁+X₇ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₁₀+X₉+1 {O(n)}
MPRF:
• eval_ex_paper1_3: [X₀+X₂]
• eval_ex_paper1_4: [X₀+X₂]
• eval_ex_paper1_6: [2+X₅+X₇]
• eval_ex_paper1_7: [X₂+X₅]
• eval_ex_paper1_bb1_in: [1+X₀+X₁]
• eval_ex_paper1_bb2_in: [1+X₀+X₁]
• eval_ex_paper1_bb3_in: [1+X₂+X₅]
• eval_ex_paper1_bb4_in: [1+X₂+X₅]
MPRF for transition t₁₇: eval_ex_paper1_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb3_in(X₀, X₁, X₇, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₇ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₉ ∧ 1 ≤ X₁+X₁₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₂+X₇ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₇+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₂+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₁+X₇ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₁₀+X₉ {O(n)}
MPRF:
• eval_ex_paper1_3: [X₂+X₅]
• eval_ex_paper1_4: [X₂+X₅]
• eval_ex_paper1_6: [X₀+X₇]
• eval_ex_paper1_7: [1+X₅+X₇]
• eval_ex_paper1_bb1_in: [X₀+X₁]
• eval_ex_paper1_bb2_in: [X₀+X₁]
• eval_ex_paper1_bb3_in: [X₂+X₅]
• eval_ex_paper1_bb4_in: [X₂+X₅]
knowledge_propagation leads to new time bound 2⋅X₉+X₁₀ {O(n)} for transition t₇: eval_ex_paper1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
knowledge_propagation leads to new time bound 2⋅X₉+X₁₀ {O(n)} for transition t₉: eval_ex_paper1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_4(X₀, X₁, X₂, X₃, X₄, X₅, nondef.0, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1 ≤ X₅+X₁₀ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₉ ∧ 2 ≤ X₀+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅
MPRF for transition t₁₈: eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₁ of depth 1:
new bound:
2⋅X₁₀+2⋅X₉ {O(n)}
MPRF:
• eval_ex_paper1_10: [X₄]
• eval_ex_paper1_11: [X₄]
• eval_ex_paper1_bb5_in: [X₃]
• eval_ex_paper1_bb6_in: [X₃-1]
• eval_ex_paper1_bb7_in: [X₄]
• eval_ex_paper1_bb8_in: [X₄]
MPRF for transition t₂₀: eval_ex_paper1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₃-1, X₅, X₆, X₇, 0, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₁ of depth 1:
new bound:
2⋅X₁₀+2⋅X₉ {O(n)}
MPRF:
• eval_ex_paper1_10: [X₃-1]
• eval_ex_paper1_11: [X₃-1]
• eval_ex_paper1_bb5_in: [X₃]
• eval_ex_paper1_bb6_in: [X₃]
• eval_ex_paper1_bb7_in: [X₃-1]
• eval_ex_paper1_bb8_in: [X₃-1]
MPRF for transition t₂₂: eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb5_in(X₀, X₁, X₂, X₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁₁ ≤ X₈ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈ of depth 1:
new bound:
4⋅X₁₀+4⋅X₉+1 {O(n)}
MPRF:
• eval_ex_paper1_10: [X₁+X₃-1]
• eval_ex_paper1_11: [X₁+X₃-1]
• eval_ex_paper1_bb5_in: [X₁+X₃-1]
• eval_ex_paper1_bb6_in: [X₁+X₃-1]
• eval_ex_paper1_bb7_in: [X₁+X₃-1]
• eval_ex_paper1_bb8_in: [X₁+X₃-1]
MPRF for transition t₂₁: eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₈ ≤ X₁₁ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₉+X₁₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈ of depth 1:
new bound:
8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
MPRF:
• eval_ex_paper1_10: [X₁₁-1-X₈]
• eval_ex_paper1_11: [X₄+X₁₁-X₃-X₈]
• eval_ex_paper1_bb5_in: [X₁₁]
• eval_ex_paper1_bb6_in: [X₁₁]
• eval_ex_paper1_bb7_in: [X₁₁-X₈]
• eval_ex_paper1_bb8_in: [X₁₁-1-X₈]
MPRF for transition t₂₃: eval_ex_paper1_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈ of depth 1:
new bound:
8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
MPRF:
• eval_ex_paper1_10: [X₄+X₁₁-X₃-X₈]
• eval_ex_paper1_11: [X₄+X₁₁-X₃-X₈]
• eval_ex_paper1_bb5_in: [X₁₁]
• eval_ex_paper1_bb6_in: [X₁₁]
• eval_ex_paper1_bb7_in: [X₁₁-X₈]
• eval_ex_paper1_bb8_in: [X₁₁-X₈]
MPRF for transition t₂₅: eval_ex_paper1_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈ of depth 1:
new bound:
8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
MPRF:
• eval_ex_paper1_10: [X₁₁-X₈]
• eval_ex_paper1_11: [X₁₁-1-X₈]
• eval_ex_paper1_bb5_in: [X₁₁]
• eval_ex_paper1_bb6_in: [X₁₁]
• eval_ex_paper1_bb7_in: [X₁₁-X₈]
• eval_ex_paper1_bb8_in: [X₁₁-X₈]
MPRF for transition t₂₆: eval_ex_paper1_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_ex_paper1_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₉ ∧ 1 ≤ X₀+X₁₀ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₉ ∧ 1+X₀ ≤ X₁₀ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₈ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₄+X₉ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₈+X₉ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₈+X₁₁ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₉ ∧ 2 ≤ X₁+X₁₀ ∧ 2 ≤ X₁+X₁₁ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₈ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₈ ∧ 0 ≤ X₈ of depth 1:
new bound:
8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
MPRF:
• eval_ex_paper1_10: [X₁₁-X₈]
• eval_ex_paper1_11: [X₁₁-X₈]
• eval_ex_paper1_bb5_in: [X₁₁]
• eval_ex_paper1_bb6_in: [X₁₁]
• eval_ex_paper1_bb7_in: [X₁₁-X₈]
• eval_ex_paper1_bb8_in: [X₁₁-X₈]
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_4
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₄ ∧ 1+X₈ ≤ X₃ ∧ 1+X₈ ≤ X₁₁ ∧ 1+X₈ ≤ X₁₀ ∧ 1+X₈ ≤ X₁ ∧ X₈ ≤ X₀ ∧ X₀+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_11_v1
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_3
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₈ ≤ X₁₁ ∧ 1 ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 2 ≤ X₃+X₈ ∧ 2 ≤ X₈+X₁₁ ∧ 2 ≤ X₈+X₁₀ ∧ 2 ≤ X₁+X₈ ∧ 1 ≤ X₀+X₈ ∧ 1+X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb7_in_v1
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb5_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₂ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₇+X₁₀ ∧ 0 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_ex_paper1_7
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb6_in
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 3 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 2 ≤ X₃+X₈ ∧ 3 ≤ X₈+X₁₁ ∧ 2 ≤ X₈+X₁₀ ∧ 2 ≤ X₁+X₈ ∧ 1 ≤ X₀+X₈ ∧ 1+X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 2 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₁₁ ∧ 3 ≤ X₁₀+X₁₁ ∧ 3 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ 2+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_11_v2
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₄ ∧ 1+X₈ ≤ X₃ ∧ 1+X₈ ≤ X₁₁ ∧ 1+X₈ ≤ X₁₀ ∧ 1+X₈ ≤ X₁ ∧ X₈ ≤ X₀ ∧ X₀+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_10_v1
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₇ ≤ X₂ ∧ X₇ ≤ X₁ ∧ 0 ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₇+X₁₀ ∧ 0 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_ex_paper1_6
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_bb2_in
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 3 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 2 ≤ X₃+X₈ ∧ 3 ≤ X₈+X₁₁ ∧ 2 ≤ X₈+X₁₀ ∧ 2 ≤ X₁+X₈ ∧ 1 ≤ X₀+X₈ ∧ 1+X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 2 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₁₁ ∧ 3 ≤ X₁₀+X₁₁ ∧ 3 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ 2+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_10_v2
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 1 ≤ X₀ for location eval_ex_paper1_bb3_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₄ ∧ 1+X₈ ≤ X₃ ∧ 1+X₈ ≤ X₁₁ ∧ 1+X₈ ≤ X₁₀ ∧ 1+X₈ ≤ X₁ ∧ X₈ ≤ X₀ ∧ X₀+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₁ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₁ ∧ 2 ≤ X₁₀+X₁₁ ∧ 2 ≤ X₁+X₁₁ ∧ 1 ≤ X₀+X₁₁ ∧ 1+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb8_in_v1
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₈+X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 3 ≤ X₉+X₁₁ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ 1+X₈ ≤ X₁₁ ∧ 1 ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 2 ≤ X₃+X₈ ∧ 3 ≤ X₈+X₁₁ ∧ 2 ≤ X₈+X₁₀ ∧ 2 ≤ X₁+X₈ ∧ 1 ≤ X₀+X₈ ∧ 1+X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 2 ≤ X₄+X₁₁ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₃+X₁₁ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₁₁ ∧ 3 ≤ X₁₀+X₁₁ ∧ 3 ≤ X₁+X₁₁ ∧ 2 ≤ X₀+X₁₁ ∧ 2+X₀ ≤ X₁₁ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb8_in_v2
Found invariant 1 ≤ X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 0 ≤ X₀ for location eval_ex_paper1_bb1_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 1 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₅+X₁₀ ∧ 0 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₁₀ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁₀ ∧ 1 ≤ X₁+X₁₀ ∧ 2 ≤ X₀+X₁₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_ex_paper1_bb4_in
Found invariant 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₄+X₉ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₉+X₁₀ ∧ 2 ≤ X₁+X₉ ∧ 1 ≤ X₀+X₉ ∧ 1+X₀ ≤ X₉ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₄ ∧ 1+X₈ ≤ X₃ ∧ 1+X₈ ≤ X₁₀ ∧ 1+X₈ ≤ X₁ ∧ X₈ ≤ X₀ ∧ X₀+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ 0 ≤ X₄+X₈ ∧ 1 ≤ X₃+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₄ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ 1+X₄ ∧ 1 ≤ X₄+X₁₀ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ 1 ≤ X₀+X₁₀ ∧ 1+X₀ ≤ X₁₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_ex_paper1_bb7_in
All Bounds
Timebounds
Overall timebound:32⋅X₁₀⋅X₁₁+32⋅X₁₁⋅X₉+15⋅X₁₀+16⋅X₁₁+22⋅X₉+13 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: X₉+1 {O(n)}
t₅: 1 {O(1)}
t₆: X₉ {O(n)}
t₇: 2⋅X₉+X₁₀ {O(n)}
t₉: 2⋅X₉+X₁₀ {O(n)}
t₁₀: X₁₀+X₉ {O(n)}
t₁₁: X₁₀+X₉ {O(n)}
t₁₂: 2⋅X₉+1 {O(n)}
t₁₃: X₉ {O(n)}
t₁₄: X₁₀+X₉+2 {O(n)}
t₁₆: X₁₀+X₉+1 {O(n)}
t₁₇: X₁₀+X₉ {O(n)}
t₁₈: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₉: 1 {O(1)}
t₂₀: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₁: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
t₂₂: 4⋅X₁₀+4⋅X₉+1 {O(n)}
t₂₃: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
t₂₅: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
t₂₆: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
t₂₇: 1 {O(1)}
Costbounds
Overall costbound: 32⋅X₁₀⋅X₁₁+32⋅X₁₁⋅X₉+15⋅X₁₀+16⋅X₁₁+22⋅X₉+13 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: X₉+1 {O(n)}
t₅: 1 {O(1)}
t₆: X₉ {O(n)}
t₇: 2⋅X₉+X₁₀ {O(n)}
t₉: 2⋅X₉+X₁₀ {O(n)}
t₁₀: X₁₀+X₉ {O(n)}
t₁₁: X₁₀+X₉ {O(n)}
t₁₂: 2⋅X₉+1 {O(n)}
t₁₃: X₉ {O(n)}
t₁₄: X₁₀+X₉+2 {O(n)}
t₁₆: X₁₀+X₉+1 {O(n)}
t₁₇: X₁₀+X₉ {O(n)}
t₁₈: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₉: 1 {O(1)}
t₂₀: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₁: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
t₂₂: 4⋅X₁₀+4⋅X₉+1 {O(n)}
t₂₃: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
t₂₅: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
t₂₆: 8⋅X₁₀⋅X₁₁+8⋅X₁₁⋅X₉+4⋅X₁₁ {O(n^2)}
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: X₉ {O(n)}
t₃, X₁: X₁₀ {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: X₉ {O(n)}
t₄, X₁: X₁₀+X₉ {O(n)}
t₄, X₂: 2⋅X₁₀+2⋅X₉+X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: 2⋅X₉+X₅ {O(n)}
t₄, X₇: 2⋅X₁₀+2⋅X₉+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: 0 {O(1)}
t₅, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₅, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₅, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₅, X₄: 2⋅X₄ {O(n)}
t₅, X₅: 2⋅X₉ {O(n)}
t₅, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₅, X₈: 2⋅X₈ {O(n)}
t₅, X₉: 2⋅X₉ {O(n)}
t₅, X₁₀: 2⋅X₁₀ {O(n)}
t₅, X₁₁: 2⋅X₁₁ {O(n)}
t₆, X₀: X₉ {O(n)}
t₆, X₁: X₁₀+X₉ {O(n)}
t₆, X₂: X₁₀+X₉ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₉ {O(n)}
t₆, X₇: 2⋅X₁₀+2⋅X₉+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: X₉ {O(n)}
t₇, X₁: X₁₀+X₉ {O(n)}
t₇, X₂: X₁₀+X₉ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₉ {O(n)}
t₇, X₇: 2⋅X₁₀+2⋅X₉+X₇ {O(n)}
t₇, X₈: X₈ {O(n)}
t₇, X₉: X₉ {O(n)}
t₇, X₁₀: X₁₀ {O(n)}
t₇, X₁₁: X₁₁ {O(n)}
t₉, X₀: X₉ {O(n)}
t₉, X₁: X₁₀+X₉ {O(n)}
t₉, X₂: X₁₀+X₉ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₉ {O(n)}
t₉, X₇: 2⋅X₁₀+2⋅X₉+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: X₉ {O(n)}
t₁₀, X₁: X₁₀+X₉ {O(n)}
t₁₀, X₂: X₁₀+X₉ {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₉ {O(n)}
t₁₀, X₇: 2⋅X₁₀+2⋅X₉+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: X₉ {O(n)}
t₁₁, X₁: X₁₀+X₉ {O(n)}
t₁₁, X₂: X₁₀+X₉ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: X₉ {O(n)}
t₁₁, X₇: 2⋅X₁₀+2⋅X₉+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: X₉ {O(n)}
t₁₂, X₁: X₁₀+X₉ {O(n)}
t₁₂, X₂: X₁₀+X₉ {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₉ {O(n)}
t₁₂, X₆: 0 {O(1)}
t₁₂, X₇: 2⋅X₁₀+2⋅X₉+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: X₉ {O(n)}
t₁₃, X₁: X₁₀+X₉ {O(n)}
t₁₃, X₂: X₁₀+X₉ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₉ {O(n)}
t₁₃, X₇: 2⋅X₁₀+2⋅X₉+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: X₉ {O(n)}
t₁₄, X₁: X₁₀+X₉ {O(n)}
t₁₄, X₂: X₁₀+X₉ {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: X₉ {O(n)}
t₁₄, X₇: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₄, X₈: X₈ {O(n)}
t₁₄, X₉: X₉ {O(n)}
t₁₄, X₁₀: X₁₀ {O(n)}
t₁₄, X₁₁: X₁₁ {O(n)}
t₁₆, X₀: X₉ {O(n)}
t₁₆, X₁: X₁₀+X₉ {O(n)}
t₁₆, X₂: X₁₀+X₉ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₆, X₅: X₉ {O(n)}
t₁₆, X₇: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₆, X₈: X₈ {O(n)}
t₁₆, X₉: X₉ {O(n)}
t₁₆, X₁₀: X₁₀ {O(n)}
t₁₆, X₁₁: X₁₁ {O(n)}
t₁₇, X₀: X₉ {O(n)}
t₁₇, X₁: X₁₀+X₉ {O(n)}
t₁₇, X₂: X₁₀+X₉ {O(n)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: X₉ {O(n)}
t₁₇, X₇: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₇, X₈: X₈ {O(n)}
t₁₇, X₉: X₉ {O(n)}
t₁₇, X₁₀: X₁₀ {O(n)}
t₁₇, X₁₁: X₁₁ {O(n)}
t₁₈, X₀: 0 {O(1)}
t₁₈, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₈, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₈, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₁₈, X₄: 2⋅X₄+4⋅X₁₀+4⋅X₉ {O(n)}
t₁₈, X₅: 2⋅X₉ {O(n)}
t₁₈, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₁₈, X₈: 2⋅X₁₁+2⋅X₈+1 {O(n)}
t₁₈, X₉: 2⋅X₉ {O(n)}
t₁₈, X₁₀: 2⋅X₁₀ {O(n)}
t₁₈, X₁₁: 2⋅X₁₁ {O(n)}
t₁₉, X₀: 0 {O(1)}
t₁₉, X₁: 4⋅X₁₀+4⋅X₉ {O(n)}
t₁₉, X₂: 4⋅X₁₀+4⋅X₉ {O(n)}
t₁₉, X₃: 4⋅X₁₀+4⋅X₉ {O(n)}
t₁₉, X₄: 2⋅X₄+4⋅X₁₀+4⋅X₉ {O(n)}
t₁₉, X₅: 4⋅X₉ {O(n)}
t₁₉, X₇: 4⋅X₇+8⋅X₁₀+8⋅X₉ {O(n)}
t₁₉, X₈: 2⋅X₁₁+2⋅X₈+1 {O(n)}
t₁₉, X₉: 4⋅X₉ {O(n)}
t₁₉, X₁₀: 4⋅X₁₀ {O(n)}
t₁₉, X₁₁: 4⋅X₁₁ {O(n)}
t₂₀, X₀: 0 {O(1)}
t₂₀, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₀, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₀, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₀, X₄: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₀, X₅: 2⋅X₉ {O(n)}
t₂₀, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₀, X₈: 0 {O(1)}
t₂₀, X₉: 2⋅X₉ {O(n)}
t₂₀, X₁₀: 2⋅X₁₀ {O(n)}
t₂₀, X₁₁: 2⋅X₁₁ {O(n)}
t₂₁, X₀: 0 {O(1)}
t₂₁, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₁, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₁, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₁, X₄: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₁, X₅: 2⋅X₉ {O(n)}
t₂₁, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₁, X₈: 2⋅X₁₁+1 {O(n)}
t₂₁, X₉: 2⋅X₉ {O(n)}
t₂₁, X₁₀: 2⋅X₁₀ {O(n)}
t₂₁, X₁₁: 2⋅X₁₁ {O(n)}
t₂₂, X₀: 0 {O(1)}
t₂₂, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₂, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₂, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₂, X₄: 4⋅X₁₀+4⋅X₉ {O(n)}
t₂₂, X₅: 2⋅X₉ {O(n)}
t₂₂, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₂, X₈: 2⋅X₁₁+1 {O(n)}
t₂₂, X₉: 2⋅X₉ {O(n)}
t₂₂, X₁₀: 2⋅X₁₀ {O(n)}
t₂₂, X₁₁: 2⋅X₁₁ {O(n)}
t₂₃, X₀: 0 {O(1)}
t₂₃, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₃, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₃, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₃, X₄: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₃, X₅: 2⋅X₉ {O(n)}
t₂₃, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₃, X₈: 2⋅X₁₁+1 {O(n)}
t₂₃, X₉: 2⋅X₉ {O(n)}
t₂₃, X₁₀: 2⋅X₁₀ {O(n)}
t₂₃, X₁₁: 2⋅X₁₁ {O(n)}
t₂₅, X₀: 0 {O(1)}
t₂₅, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₅, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₅, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₅, X₄: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₅, X₅: 2⋅X₉ {O(n)}
t₂₅, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₅, X₈: 2⋅X₁₁+1 {O(n)}
t₂₅, X₉: 2⋅X₉ {O(n)}
t₂₅, X₁₀: 2⋅X₁₀ {O(n)}
t₂₅, X₁₁: 2⋅X₁₁ {O(n)}
t₂₆, X₀: 0 {O(1)}
t₂₆, X₁: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₆, X₂: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₆, X₃: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₆, X₄: 2⋅X₁₀+2⋅X₉ {O(n)}
t₂₆, X₅: 2⋅X₉ {O(n)}
t₂₆, X₇: 2⋅X₇+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₆, X₈: 2⋅X₁₁+1 {O(n)}
t₂₆, X₉: 2⋅X₉ {O(n)}
t₂₆, X₁₀: 2⋅X₁₀ {O(n)}
t₂₆, X₁₁: 2⋅X₁₁ {O(n)}
t₂₇, X₀: 2⋅X₀ {O(n)}
t₂₇, X₁: 2⋅X₁+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₇, X₂: 2⋅X₂+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₇, X₃: 2⋅X₃+4⋅X₁₀+4⋅X₉ {O(n)}
t₂₇, X₄: 4⋅X₁₀+4⋅X₄+4⋅X₉ {O(n)}
t₂₇, X₅: 2⋅X₅+4⋅X₉ {O(n)}
t₂₇, X₇: 6⋅X₇+8⋅X₁₀+8⋅X₉ {O(n)}
t₂₇, X₈: 2⋅X₁₁+4⋅X₈+1 {O(n)}
t₂₇, X₉: 6⋅X₉ {O(n)}
t₂₇, X₁₀: 6⋅X₁₀ {O(n)}
t₂₇, X₁₁: 6⋅X₁₁ {O(n)}