Initial Problem

Start: eval_Loopus2011_ex2_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars: nondef.0, nondef.1, nondef.2, nondef.3
Locations: eval_Loopus2011_ex2_0, eval_Loopus2011_ex2_1, eval_Loopus2011_ex2_bb0_in, eval_Loopus2011_ex2_bb10_in, eval_Loopus2011_ex2_bb11_in, eval_Loopus2011_ex2_bb12_in, eval_Loopus2011_ex2_bb1_in, eval_Loopus2011_ex2_bb2_in, eval_Loopus2011_ex2_bb3_in, eval_Loopus2011_ex2_bb4_in, eval_Loopus2011_ex2_bb5_in, eval_Loopus2011_ex2_bb6_in, eval_Loopus2011_ex2_bb7_in, eval_Loopus2011_ex2_bb8_in, eval_Loopus2011_ex2_bb9_in, eval_Loopus2011_ex2_start, eval_Loopus2011_ex2_stop
Transitions:
t₄: eval_Loopus2011_ex2_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_1(X₀, nondef.0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₅: eval_Loopus2011_ex2_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 1 ∧ 1 ≤ X₂
t₆: eval_Loopus2011_ex2_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 0
t₇: eval_Loopus2011_ex2_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 2 ≤ X₂
t₁: eval_Loopus2011_ex2_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb1_in(X₁₁, X₁, 4, X₃, X₄, X₅, 0, 0, X₈, X₉, X₁₀, X₁₁)
t₃₃: eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, nondef.3, X₆, X₇, X₈, 1, X₁₀, X₁₁) :|: 0 ≤ nondef.3 ∧ nondef.3 ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₃₄: eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, nondef.3, X₆, X₇, X₈, 1, X₁₀, X₁₁) :|: X₃ ≤ 1+2⋅nondef.3 ∧ 1 ≤ X₃ ∧ 0 ≤ nondef.3 ∧ 2⋅nondef.3 ≤ X₃
t₃₅: eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, nondef.3, X₆, X₇, X₈, 1, X₁₀, X₁₁) :|: 2⋅nondef.3 ≤ 1+X₃ ∧ 1+X₃ ≤ 0 ∧ X₃ ≤ 2⋅nondef.3 ∧ nondef.3 ≤ 0
t₃₆: eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₀ ≤ X₅
t₃₇: eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb1_in(X₀-X₅, X₁, X₅, X₃, X₄, X₅, 1, X₉, X₈, X₉, X₁₀, X₁₁) :|: X₅ ≤ X₀
t₃₈: eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₂: eval_Loopus2011_ex2_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₈: eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₇ ≤ 0
t₉: eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₇
t₁₀: eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₇ ∧ X₇ ≤ 0
t₁₁: eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ nondef.1 ∧ nondef.1 ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₂: eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 1+2⋅nondef.1 ∧ 1 ≤ X₂ ∧ 0 ≤ nondef.1 ∧ 2⋅nondef.1 ≤ X₂
t₁₃: eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 2⋅nondef.1 ≤ 1+X₂ ∧ 1+X₂ ≤ 0 ∧ X₂ ≤ 2⋅nondef.1 ∧ nondef.1 ≤ 0
t₁₄: eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₀ ≤ X₁
t₁₅: eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ X₁₀
t₂₀: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₆ ≤ 1 ∧ 1 ≤ X₆ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0
t₁₆: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: X₆ ≤ 0
t₁₇: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: 2 ≤ X₆
t₁₈: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: 1+X₇ ≤ 0
t₁₉: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: 1 ≤ X₇
t₂₁: eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, 1, X₉, X₁₀, X₁₁) :|: 0 ≤ nondef.2 ∧ nondef.2 ≤ 0 ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₂₂: eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, 1, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+2⋅nondef.2 ∧ 1 ≤ X₃ ∧ 0 ≤ nondef.2 ∧ 2⋅nondef.2 ≤ X₃
t₂₃: eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, 1, X₉, X₁₀, X₁₁) :|: 2⋅nondef.2 ≤ 1+X₃ ∧ 1+X₃ ≤ 0 ∧ X₃ ≤ 2⋅nondef.2 ∧ nondef.2 ≤ 0
t₂₄: eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 256 ≤ X₀+X₄
t₂₅: eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb1_in(X₀+X₄, X₁, X₄, X₃, X₄, X₅, 2, X₈, X₈, X₉, X₁₀, X₁₁) :|: X₀+X₄ ≤ 255
t₂₇: eval_Loopus2011_ex2_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁₀ ≤ X₁
t₂₆: eval_Loopus2011_ex2_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁ ≤ X₁₀
t₃₂: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₆ ≤ 2 ∧ 2 ≤ X₆ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0
t₂₈: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₇, X₈, X₇, X₁₀, X₁₁) :|: X₆ ≤ 1
t₂₉: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₇, X₈, X₇, X₁₀, X₁₁) :|: 3 ≤ X₆
t₃₀: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₇, X₈, X₇, X₁₀, X₁₁) :|: 1+X₇ ≤ 0
t₃₁: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₇, X₈, X₇, X₁₀, X₁₁) :|: 1 ≤ X₇
t₀: eval_Loopus2011_ex2_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)

Preprocessing

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ for location eval_Loopus2011_ex2_bb2_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ ∧ X₁ ≤ X₁₀ for location eval_Loopus2011_ex2_bb8_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 1 ≤ X₂ for location eval_Loopus2011_ex2_stop

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 2+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 1 ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₂ ≤ 3 ∧ 2 ≤ X₂ for location eval_Loopus2011_ex2_bb3_in

Found invariant X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 2+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 2+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 1 ∧ 1+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 1+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 1 ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 2 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ ∧ 1+X₁₀ ≤ X₁ for location eval_Loopus2011_ex2_bb6_in

Found invariant X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 2+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 2+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 2 ≤ X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 2 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₁₀ for location eval_Loopus2011_ex2_bb10_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ ∧ 1+X₁₀ ≤ X₁ for location eval_Loopus2011_ex2_bb5_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 1 ≤ X₂ for location eval_Loopus2011_ex2_0

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ for location eval_Loopus2011_ex2_bb4_in

Found invariant X₈ ≤ 1 ∧ X₈ ≤ 1+X₇ ∧ X₇+X₈ ≤ 2 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 5 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 5 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 1 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 6 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ 4+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ 3+X₄ ∧ 3 ≤ X₂+X₄ ∧ X₂ ≤ 3+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ ∧ 1+X₁₀ ≤ X₁ for location eval_Loopus2011_ex2_bb7_in

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 3 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 5 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 5 ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 1 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₅ ∧ X₅+X₆ ≤ 5 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ 4+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ 3+X₅ ∧ 3 ≤ X₂+X₅ ∧ X₂ ≤ 3+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₁₀ for location eval_Loopus2011_ex2_bb11_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 1 ≤ X₂ for location eval_Loopus2011_ex2_bb12_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 1 ≤ X₂ for location eval_Loopus2011_ex2_bb1_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 4 ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₁₀ for location eval_Loopus2011_ex2_bb9_in

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 1 ≤ X₂ for location eval_Loopus2011_ex2_1

Cut unsatisfiable transition [t₆: eval_Loopus2011_ex2_1→eval_Loopus2011_ex2_bb2_in; t₈: eval_Loopus2011_ex2_bb2_in→eval_Loopus2011_ex2_bb3_in; t₁₁: eval_Loopus2011_ex2_bb3_in→eval_Loopus2011_ex2_bb4_in; t₁₃: eval_Loopus2011_ex2_bb3_in→eval_Loopus2011_ex2_bb4_in; t₁₈: eval_Loopus2011_ex2_bb5_in→eval_Loopus2011_ex2_bb7_in; t₂₁: eval_Loopus2011_ex2_bb6_in→eval_Loopus2011_ex2_bb7_in; t₂₃: eval_Loopus2011_ex2_bb6_in→eval_Loopus2011_ex2_bb7_in; t₂₉: eval_Loopus2011_ex2_bb9_in→eval_Loopus2011_ex2_bb11_in; t₃₀: eval_Loopus2011_ex2_bb9_in→eval_Loopus2011_ex2_bb11_in; t₃₃: eval_Loopus2011_ex2_bb10_in→eval_Loopus2011_ex2_bb11_in; t₃₅: eval_Loopus2011_ex2_bb10_in→eval_Loopus2011_ex2_bb11_in]

Problem after Preprocessing

Start: eval_Loopus2011_ex2_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars: nondef.0, nondef.1, nondef.2, nondef.3
Locations: eval_Loopus2011_ex2_0, eval_Loopus2011_ex2_1, eval_Loopus2011_ex2_bb0_in, eval_Loopus2011_ex2_bb10_in, eval_Loopus2011_ex2_bb11_in, eval_Loopus2011_ex2_bb12_in, eval_Loopus2011_ex2_bb1_in, eval_Loopus2011_ex2_bb2_in, eval_Loopus2011_ex2_bb3_in, eval_Loopus2011_ex2_bb4_in, eval_Loopus2011_ex2_bb5_in, eval_Loopus2011_ex2_bb6_in, eval_Loopus2011_ex2_bb7_in, eval_Loopus2011_ex2_bb8_in, eval_Loopus2011_ex2_bb9_in, eval_Loopus2011_ex2_start, eval_Loopus2011_ex2_stop
Transitions:
t₄: eval_Loopus2011_ex2_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_1(X₀, nondef.0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₇ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₅: eval_Loopus2011_ex2_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₇ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₇: eval_Loopus2011_ex2_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 2 ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₇ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁: eval_Loopus2011_ex2_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb1_in(X₁₁, X₁, 4, X₃, X₄, X₅, 0, 0, X₈, X₉, X₁₀, X₁₁)
t₃₄: eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, nondef.3, X₆, X₇, X₈, 1, X₁₀, X₁₁) :|: X₃ ≤ 1+2⋅nondef.3 ∧ 1 ≤ X₃ ∧ 0 ≤ nondef.3 ∧ 2⋅nondef.3 ≤ X₃ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ 1+X₁ ≤ X₁₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₇ ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₇ ∧ 2+X₇ ≤ X₃ ∧ 2 ≤ X₆ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₂+X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0
t₃₆: eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₀ ≤ X₅ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₅ ≤ 8 ∧ X₃+X₅ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂+X₉ ≤ 5 ∧ X₃+X₉ ≤ 5 ∧ X₅+X₆ ≤ 5 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₉ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₉ ∧ X₅ ≤ 4 ∧ X₅ ≤ 4+X₆ ∧ X₅ ≤ 4+X₇ ∧ X₅+X₇ ≤ 4 ∧ X₅ ≤ 4+X₉ ∧ X₅+X₉ ≤ 4 ∧ X₂ ≤ 3+X₅ ∧ X₃ ≤ 3+X₅ ∧ X₆+X₇ ≤ 3 ∧ X₆+X₉ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₇+X₉ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₉ ∧ X₉ ≤ 1+X₇ ∧ X₇ ≤ 1 ∧ X₉ ≤ 1 ∧ 1+X₁ ≤ X₁₀ ∧ 1+X₇ ≤ X₂ ∧ 1+X₉ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₉ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₂+X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₅ ≤ X₃ ∧ X₇ ≤ X₃ ∧ X₉ ≤ X₃ ∧ X₇ ≤ X₅ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ X₉ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 0 ≤ X₉
t₃₇: eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb1_in(X₀-X₅, X₁, X₅, X₃, X₄, X₅, 1, X₉, X₈, X₉, X₁₀, X₁₁) :|: X₅ ≤ X₀ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₅ ≤ 8 ∧ X₃+X₅ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂+X₉ ≤ 5 ∧ X₃+X₉ ≤ 5 ∧ X₅+X₆ ≤ 5 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₉ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₉ ∧ X₅ ≤ 4 ∧ X₅ ≤ 4+X₆ ∧ X₅ ≤ 4+X₇ ∧ X₅+X₇ ≤ 4 ∧ X₅ ≤ 4+X₉ ∧ X₅+X₉ ≤ 4 ∧ X₂ ≤ 3+X₅ ∧ X₃ ≤ 3+X₅ ∧ X₆+X₇ ≤ 3 ∧ X₆+X₉ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₇+X₉ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₅ ∧ X₆ ≤ 1+X₉ ∧ X₉ ≤ 1+X₇ ∧ X₇ ≤ 1 ∧ X₉ ≤ 1 ∧ 1+X₁ ≤ X₁₀ ∧ 1+X₇ ≤ X₂ ∧ 1+X₉ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₇ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₂+X₉ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₃+X₉ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₅+X₉ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₂+X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₅ ≤ X₃ ∧ X₇ ≤ X₃ ∧ X₉ ≤ X₃ ∧ X₇ ≤ X₅ ∧ X₉ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₉ ∧ X₉ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 0 ≤ X₉
t₃₈: eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₇ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₂: eval_Loopus2011_ex2_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₇ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₉: eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₇ ∧ X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁₀: eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆
t₁₂: eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 1+2⋅nondef.1 ∧ 1 ≤ X₂ ∧ 0 ≤ nondef.1 ∧ 2⋅nondef.1 ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 3 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₆ ∧ X₂ ≤ 2+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₇ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₂ ∧ 2 ≤ X₆+X₇ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₂+X₇ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₆
t₁₄: eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₀ ≤ X₁ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁₅: eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁ ≤ X₁₀ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₂₀: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₆ ≤ 1 ∧ 1 ≤ X₆ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆
t₁₆: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: X₆ ≤ 0 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁₇: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: 2 ≤ X₆ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁₉: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: 1 ≤ X₇ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₂₂: eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, 1, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+2⋅nondef.2 ∧ 1 ≤ X₃ ∧ 0 ≤ nondef.2 ∧ 2⋅nondef.2 ≤ X₃ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 5 ∧ X₃+X₆ ≤ 5 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₂ ≤ 3+X₆ ∧ X₃ ≤ 3+X₆ ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₇ ∧ X₆+X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 1 ≤ X₆+X₇ ∧ 1+X₇ ≤ X₆ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₇ ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₇ ∧ 2+X₇ ≤ X₃ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0
t₂₄: eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 256 ≤ X₀+X₄ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂+X₈ ≤ 5 ∧ X₃+X₈ ≤ 5 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₆ ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₂ ≤ 3+X₄ ∧ X₃ ≤ 3+X₄ ∧ X₆+X₇ ≤ 3 ∧ X₆+X₈ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 2+X₈ ∧ X₇+X₈ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₄ ∧ X₈ ≤ 1+X₇ ∧ X₇ ≤ 1 ∧ X₈ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₇ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₂+X₈ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₃+X₈ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₄+X₈ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₂+X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₇ ≤ X₃ ∧ X₈ ≤ X₃ ∧ X₇ ≤ X₄ ∧ X₈ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₈ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₈
t₂₅: eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb1_in(X₀+X₄, X₁, X₄, X₃, X₄, X₅, 2, X₈, X₈, X₉, X₁₀, X₁₁) :|: X₀+X₄ ≤ 255 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂+X₈ ≤ 5 ∧ X₃+X₈ ≤ 5 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₆ ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₂ ≤ 3+X₄ ∧ X₃ ≤ 3+X₄ ∧ X₆+X₇ ≤ 3 ∧ X₆+X₈ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 2+X₈ ∧ X₇+X₈ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₄ ∧ X₈ ≤ 1+X₇ ∧ X₇ ≤ 1 ∧ X₈ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1+X₈ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₇ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₂+X₈ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 2 ≤ X₃+X₈ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₄+X₈ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₂+X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₇ ≤ X₃ ∧ X₈ ≤ X₃ ∧ X₇ ≤ X₄ ∧ X₈ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ X₈ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₈
t₂₇: eval_Loopus2011_ex2_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁₀ ≤ X₁ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₁ ≤ X₁₀ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₂₆: eval_Loopus2011_ex2_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁ ≤ X₁₀ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₁ ≤ X₁₀ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₃₂: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₆ ≤ 2 ∧ 2 ≤ X₆ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁ ≤ X₁₀ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆
t₂₈: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₇, X₈, X₇, X₁₀, X₁₁) :|: X₆ ≤ 1 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁ ≤ X₁₀ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₃₁: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₇, X₈, X₇, X₁₀, X₁₁) :|: 1 ≤ X₇ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁ ≤ X₁₀ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₀: eval_Loopus2011_ex2_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁)

MPRF for transition t₉: eval_Loopus2011_ex2_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₇ ∧ X₂+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ of depth 1:

new bound:

16 {O(1)}

• eval_Loopus2011_ex2_0: [4⋅X₂-X₆]
• eval_Loopus2011_ex2_1: [4⋅X₂-X₆]
• eval_Loopus2011_ex2_bb10_in: [2⋅X₂+2⋅X₃-2]
• eval_Loopus2011_ex2_bb11_in: [2⋅X₂+2⋅X₅+X₉-X₆]
• eval_Loopus2011_ex2_bb1_in: [4⋅X₂-X₆]
• eval_Loopus2011_ex2_bb2_in: [4⋅X₂-X₆]
• eval_Loopus2011_ex2_bb3_in: [4⋅X₂-1-X₆]
• eval_Loopus2011_ex2_bb4_in: [2⋅X₂+2⋅X₃+X₇-X₆]
• eval_Loopus2011_ex2_bb5_in: [4⋅X₃-X₆]
• eval_Loopus2011_ex2_bb6_in: [4⋅X₃-2]
• eval_Loopus2011_ex2_bb7_in: [4⋅X₃-2]
• eval_Loopus2011_ex2_bb8_in: [2⋅X₂+2⋅X₃+X₇-X₆]
• eval_Loopus2011_ex2_bb9_in: [2⋅X₂+2⋅X₃+X₇-X₆]

MPRF for transition t₁₂: eval_Loopus2011_ex2_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ 1+2⋅nondef.1 ∧ 1 ≤ X₂ ∧ 0 ≤ nondef.1 ∧ 2⋅nondef.1 ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 3 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₆ ∧ X₂ ≤ 2+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₇ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₂ ∧ 2 ≤ X₆+X₇ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₂+X₇ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₆ of depth 1:

new bound:

11 {O(1)}

• eval_Loopus2011_ex2_0: [2⋅X₂+2⋅X₇-3]
• eval_Loopus2011_ex2_1: [2⋅X₂+2⋅X₇-3]
• eval_Loopus2011_ex2_bb10_in: [2⋅X₃-3]
• eval_Loopus2011_ex2_bb11_in: [2⋅X₅+2⋅X₉-3]
• eval_Loopus2011_ex2_bb1_in: [2⋅X₂+2⋅X₇-3]
• eval_Loopus2011_ex2_bb2_in: [2⋅X₂+2⋅X₇-3]
• eval_Loopus2011_ex2_bb3_in: [2⋅X₂+2⋅X₇-3]
• eval_Loopus2011_ex2_bb4_in: [2⋅X₃+2⋅X₇-3]
• eval_Loopus2011_ex2_bb5_in: [2⋅X₃+2⋅X₇-3]
• eval_Loopus2011_ex2_bb6_in: [2⋅X₃-3]
• eval_Loopus2011_ex2_bb7_in: [2⋅X₄+2⋅X₈-3]
• eval_Loopus2011_ex2_bb8_in: [2⋅X₃+2⋅X₇-3]
• eval_Loopus2011_ex2_bb9_in: [2⋅X₃+2⋅X₇-3]

MPRF for transition t₁₆: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: X₆ ≤ 0 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ of depth 1:

new bound:

18 {O(1)}

• eval_Loopus2011_ex2_0: [10+2⋅X₂-2⋅X₆]
• eval_Loopus2011_ex2_1: [10+2⋅X₂-2⋅X₆]
• eval_Loopus2011_ex2_bb10_in: [10+2⋅X₃-2⋅X₆]
• eval_Loopus2011_ex2_bb11_in: [10+2⋅X₅+2⋅X₉-2⋅X₆]
• eval_Loopus2011_ex2_bb1_in: [10+2⋅X₂-2⋅X₆]
• eval_Loopus2011_ex2_bb2_in: [10+2⋅X₂-2⋅X₆]
• eval_Loopus2011_ex2_bb3_in: [10+2⋅X₂-2⋅X₆]
• eval_Loopus2011_ex2_bb4_in: [10+2⋅X₃+2⋅X₇-2⋅X₆]
• eval_Loopus2011_ex2_bb5_in: [8+2⋅X₃+X₇-X₆]
• eval_Loopus2011_ex2_bb6_in: [7+2⋅X₃-X₆]
• eval_Loopus2011_ex2_bb7_in: [6+2⋅X₃+X₇]
• eval_Loopus2011_ex2_bb8_in: [10+2⋅X₃+2⋅X₇-2⋅X₆]
• eval_Loopus2011_ex2_bb9_in: [10+2⋅X₃+2⋅X₇-2⋅X₆]

MPRF for transition t₁₉: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: 1 ≤ X₇ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ of depth 1:

new bound:

11 {O(1)}

• eval_Loopus2011_ex2_0: [2⋅X₂-3]
• eval_Loopus2011_ex2_1: [2⋅X₂-3]
• eval_Loopus2011_ex2_bb10_in: [2⋅X₃-3-X₆]
• eval_Loopus2011_ex2_bb11_in: [2⋅X₅-3]
• eval_Loopus2011_ex2_bb1_in: [2⋅X₂-3]
• eval_Loopus2011_ex2_bb2_in: [2⋅X₂-3]
• eval_Loopus2011_ex2_bb3_in: [X₂-1]
• eval_Loopus2011_ex2_bb4_in: [2⋅X₃+2⋅X₇-3]
• eval_Loopus2011_ex2_bb5_in: [2⋅X₃+2⋅X₇-3]
• eval_Loopus2011_ex2_bb6_in: [X₃-2⋅X₆]
• eval_Loopus2011_ex2_bb7_in: [2⋅X₄+X₈-3]
• eval_Loopus2011_ex2_bb8_in: [2⋅X₃-3]
• eval_Loopus2011_ex2_bb9_in: [2⋅X₃-3]

MPRF for transition t₂₀: eval_Loopus2011_ex2_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₆ ≤ 1 ∧ 1 ≤ X₆ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ of depth 1:

new bound:

1 {O(1)}

• eval_Loopus2011_ex2_0: [1-X₇]
• eval_Loopus2011_ex2_1: [1-X₇]
• eval_Loopus2011_ex2_bb10_in: [0]
• eval_Loopus2011_ex2_bb11_in: [1-X₉]
• eval_Loopus2011_ex2_bb1_in: [1-X₇]
• eval_Loopus2011_ex2_bb2_in: [1-X₇]
• eval_Loopus2011_ex2_bb3_in: [0]
• eval_Loopus2011_ex2_bb4_in: [1-X₇]
• eval_Loopus2011_ex2_bb5_in: [1-X₇]
• eval_Loopus2011_ex2_bb6_in: [0]
• eval_Loopus2011_ex2_bb7_in: [1-X₈]
• eval_Loopus2011_ex2_bb8_in: [1-X₇]
• eval_Loopus2011_ex2_bb9_in: [1-X₇]

MPRF for transition t₂₂: eval_Loopus2011_ex2_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in(X₀, X₁, X₂, X₃, nondef.2, X₅, X₆, X₇, 1, X₉, X₁₀, X₁₁) :|: X₃ ≤ 1+2⋅nondef.2 ∧ 1 ≤ X₃ ∧ 0 ≤ nondef.2 ∧ 2⋅nondef.2 ≤ X₃ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 5 ∧ X₃+X₆ ≤ 5 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₂ ≤ 3+X₆ ∧ X₃ ≤ 3+X₆ ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₇ ∧ X₆+X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₆ ≤ X₂ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 1 ≤ X₆+X₇ ∧ 1+X₇ ≤ X₆ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₇ ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₇ ∧ 2+X₇ ≤ X₃ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 of depth 1:

new bound:

1 {O(1)}

• eval_Loopus2011_ex2_0: [1-X₇]
• eval_Loopus2011_ex2_1: [1-X₇]
• eval_Loopus2011_ex2_bb10_in: [1]
• eval_Loopus2011_ex2_bb11_in: [1-X₉]
• eval_Loopus2011_ex2_bb1_in: [1-X₇]
• eval_Loopus2011_ex2_bb2_in: [1-X₇]
• eval_Loopus2011_ex2_bb3_in: [1-X₇]
• eval_Loopus2011_ex2_bb4_in: [1-X₇]
• eval_Loopus2011_ex2_bb5_in: [1-X₇]
• eval_Loopus2011_ex2_bb6_in: [1]
• eval_Loopus2011_ex2_bb7_in: [1-X₈]
• eval_Loopus2011_ex2_bb8_in: [1-X₇]
• eval_Loopus2011_ex2_bb9_in: [1-X₇]

MPRF for transition t₃₁: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, X₃, X₆, X₇, X₈, X₇, X₁₀, X₁₁) :|: 1 ≤ X₇ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁ ≤ X₁₀ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ of depth 1:

new bound:

17 {O(1)}

• eval_Loopus2011_ex2_0: [1+4⋅X₂]
• eval_Loopus2011_ex2_1: [1+4⋅X₂]
• eval_Loopus2011_ex2_bb10_in: [1+4⋅X₃]
• eval_Loopus2011_ex2_bb11_in: [1+4⋅X₃]
• eval_Loopus2011_ex2_bb1_in: [1+4⋅X₂]
• eval_Loopus2011_ex2_bb2_in: [1+4⋅X₂]
• eval_Loopus2011_ex2_bb3_in: [1+4⋅X₂]
• eval_Loopus2011_ex2_bb4_in: [1+4⋅X₃+4⋅X₇]
• eval_Loopus2011_ex2_bb5_in: [1+4⋅X₃]
• eval_Loopus2011_ex2_bb6_in: [9]
• eval_Loopus2011_ex2_bb7_in: [1+4⋅X₄]
• eval_Loopus2011_ex2_bb8_in: [1+4⋅X₃+4⋅X₇]
• eval_Loopus2011_ex2_bb9_in: [1+4⋅X₃+4⋅X₇]

MPRF for transition t₃₂: eval_Loopus2011_ex2_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₆ ≤ 2 ∧ 2 ≤ X₆ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₆ ≤ 2+X₇ ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁ ≤ X₁₀ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₇ ≤ X₃ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ of depth 1:

new bound:

9 {O(1)}

• eval_Loopus2011_ex2_0: [9-X₇]
• eval_Loopus2011_ex2_1: [9-X₇]
• eval_Loopus2011_ex2_bb10_in: [8]
• eval_Loopus2011_ex2_bb11_in: [9-X₉]
• eval_Loopus2011_ex2_bb1_in: [9-X₇]
• eval_Loopus2011_ex2_bb2_in: [9-X₇]
• eval_Loopus2011_ex2_bb3_in: [8]
• eval_Loopus2011_ex2_bb4_in: [9-X₇]
• eval_Loopus2011_ex2_bb5_in: [9-X₇]
• eval_Loopus2011_ex2_bb6_in: [8]
• eval_Loopus2011_ex2_bb7_in: [9-X₈]
• eval_Loopus2011_ex2_bb8_in: [9-X₇]
• eval_Loopus2011_ex2_bb9_in: [9-X₇]

MPRF for transition t₃₄: eval_Loopus2011_ex2_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb11_in(X₀, X₁, X₂, X₃, X₄, nondef.3, X₆, X₇, X₈, 1, X₁₀, X₁₁) :|: X₃ ≤ 1+2⋅nondef.3 ∧ 1 ≤ X₃ ∧ 0 ≤ nondef.3 ∧ 2⋅nondef.3 ≤ X₃ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ 1+X₁ ≤ X₁₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₇ ≤ X₂ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₇ ∧ 2+X₇ ≤ X₃ ∧ 2 ≤ X₆ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₂+X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₇ ∧ X₇ ≤ 0 of depth 1:

new bound:

1 {O(1)}

• eval_Loopus2011_ex2_0: [1-3⋅X₇]
• eval_Loopus2011_ex2_1: [1-3⋅X₇]
• eval_Loopus2011_ex2_bb10_in: [1]
• eval_Loopus2011_ex2_bb11_in: [1-3⋅X₉]
• eval_Loopus2011_ex2_bb1_in: [1-3⋅X₇]
• eval_Loopus2011_ex2_bb2_in: [1-3⋅X₇]
• eval_Loopus2011_ex2_bb3_in: [-2]
• eval_Loopus2011_ex2_bb4_in: [1-3⋅X₇]
• eval_Loopus2011_ex2_bb5_in: [1-3⋅X₇]
• eval_Loopus2011_ex2_bb6_in: [1]
• eval_Loopus2011_ex2_bb7_in: [1-3⋅X₈]
• eval_Loopus2011_ex2_bb8_in: [1-3⋅X₇]
• eval_Loopus2011_ex2_bb9_in: [1-3⋅X₇]

Cut unreachable locations [eval_Loopus2011_ex2_1; eval_Loopus2011_ex2_bb2_in; eval_Loopus2011_ex2_bb5_in; eval_Loopus2011_ex2_bb8_in; eval_Loopus2011_ex2_bb9_in] from the program graph

Found invariant 1 ≤ 0 for location eval_Loopus2011_ex2_bb2_in_v7

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₃+X₇ ≤ 4 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₂+X₃ ≤ 8 ∧ X₂ ≤ 4 ∧ 1 ≤ X₂ for location eval_Loopus2011_ex2_stop

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 1+X₁₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb6_in

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 1+X₉ ≤ X₅ ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₄ ≤ 3+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 1+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 2 ≤ X₅+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄+X₅ ≤ 259 ∧ X₅ ≤ 2+X₀ ∧ 2 ≤ X₅ ∧ X₄ ≤ 2+X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb8_in_v4

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 2 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 3 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 0 ∧ 1+X₈ ≤ X₇ ∧ X₇+X₈ ≤ 1 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 1 ∧ 1+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 1 ∧ X₄+X₈ ≤ 4 ∧ 1+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 1 ∧ 2+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 2 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 2 ∧ 1+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ X₄+X₅ ≤ 5 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 2 ∧ 1+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 3 ∧ X₅ ≤ 1+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb11_in_v4

Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₈ ∧ X₈+X₉ ≤ 1 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 2+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 3+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 256 ∧ 1+X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ 1+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ 2+X₉ ≤ X₀ ∧ X₀+X₉ ≤ 255 ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 256+X₉ ∧ 1 ≤ X₄+X₉ ∧ X₄ ≤ 2+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ 255+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 257 ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 3 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 5 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ 1+X₈ ≤ X₀ ∧ X₀+X₈ ≤ 256 ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 4 ≤ X₅+X₈ ∧ X₅ ≤ 255+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ 1+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ 3+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 3 ≤ X₀+X₈ ∧ X₀ ≤ 254+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 2+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 257 ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 256 ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 255+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ 1+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 3 ≤ X₀+X₇ ∧ X₀ ≤ 254+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 258 ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 4 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 254+X₆ ∧ 3 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 256 ∧ X₅ ≤ 255+X₄ ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 255+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 255+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 2+X₀ ∧ X₀+X₅ ≤ 511 ∧ 3 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₅ ∧ 4 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 2+X₂ ≤ X₅ ∧ 5 ≤ X₀+X₅ ∧ X₀ ≤ 252+X₅ ∧ X₄ ≤ 2 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 6 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 4 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 257 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ 2+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 254+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 2+X₀ ∧ X₀+X₃ ≤ 259 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 254+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 257 ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ for location eval_Loopus2011_ex2_bb1_in_v4

Found invariant X₉ ≤ 1 ∧ X₉ ≤ X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 3 ∧ 1+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 257 ∧ X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ X₉ ≤ X₀ ∧ X₀+X₉ ≤ 256 ∧ 0 ≤ 253+X₉ ∧ 0 ≤ 252+X₈+X₉ ∧ X₈ ≤ 254+X₉ ∧ 0 ≤ 252+X₇+X₉ ∧ X₇ ≤ 254+X₉ ∧ 0 ≤ 251+X₆+X₉ ∧ X₆ ≤ 255+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 509+X₉ ∧ 0 ≤ 252+X₄+X₉ ∧ X₄ ≤ 254+X₉ ∧ 0 ≤ 252+X₃+X₉ ∧ X₃ ≤ 254+X₉ ∧ 0 ≤ 252+X₂+X₉ ∧ X₂ ≤ 254+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ 508+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 1+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 257 ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 2 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ X₀+X₈ ≤ 256 ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 3 ≤ X₅+X₈ ∧ X₅ ≤ 255+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ X₀ ≤ 254+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 257 ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 2 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 256 ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₅ ≤ 255+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ 254+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 258 ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 3 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ X₅ ≤ 254+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 1+X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 3 ≤ X₀+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 256 ∧ X₅ ≤ 255+X₄ ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 255+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 255+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 1+X₀ ∧ X₀+X₅ ≤ 511 ∧ 2 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ X₀ ≤ 253+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 2 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 256 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 254+X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 256 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 254+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 256 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 ∧ 1 ≤ X₀ for location eval_Loopus2011_ex2_0_v6

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 2 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ 1+X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 1 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 2 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 2 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ X₄+X₅ ≤ 5 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 2 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 2 ∧ X₅ ≤ 1+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 3+X₂ ∧ X₂+X₄ ≤ 5 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 256 ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_0_v7

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_1_v4

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 1+X₉ ≤ X₅ ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₄ ≤ 3+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 1+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 2 ≤ X₅+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄+X₅ ≤ 259 ∧ X₅ ≤ 2+X₀ ∧ 2 ≤ X₅ ∧ X₄ ≤ 2+X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb4_in

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb8_in_v1

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 0 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 0 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 4 ∧ 4+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 4 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ X₅ ≤ 4+X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ 1+X₁ ≤ X₁₀ for location eval_Loopus2011_ex2_bb11_in_v2

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location eval_Loopus2011_ex2_0_v3

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 3 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 5 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ 1+X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ 3+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 0 ∧ 1+X₈ ≤ X₇ ∧ X₇+X₈ ≤ 1 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 1 ∧ 1+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ 1+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 2+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 1 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 3 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ 1+X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 3 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 2 ∧ X₄+X₅ ≤ 6 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 6 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 4 ∧ X₅ ≤ 2+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ 2+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ 3+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 4+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_1_v1

Found invariant X₉ ≤ 1 ∧ X₉ ≤ X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 3 ∧ 1+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 257 ∧ X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ X₉ ≤ X₀ ∧ X₀+X₉ ≤ 256 ∧ 0 ≤ 253+X₉ ∧ 0 ≤ 252+X₈+X₉ ∧ X₈ ≤ 254+X₉ ∧ 0 ≤ 252+X₇+X₉ ∧ X₇ ≤ 254+X₉ ∧ 0 ≤ 251+X₆+X₉ ∧ X₆ ≤ 255+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 509+X₉ ∧ 0 ≤ 252+X₄+X₉ ∧ X₄ ≤ 254+X₉ ∧ 0 ≤ 252+X₃+X₉ ∧ X₃ ≤ 254+X₉ ∧ 0 ≤ 252+X₂+X₉ ∧ X₂ ≤ 254+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ 508+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 1+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 257 ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 2 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ X₀+X₈ ≤ 256 ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 3 ≤ X₅+X₈ ∧ X₅ ≤ 255+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ X₀ ≤ 254+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 257 ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 2 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 256 ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₅ ≤ 255+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ 254+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 258 ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 3 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ X₅ ≤ 254+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 1+X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 3 ≤ X₀+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 256 ∧ X₅ ≤ 255+X₄ ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 255+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 255+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 1+X₀ ∧ X₀+X₅ ≤ 511 ∧ 2 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ X₀ ≤ 253+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 2 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 256 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 254+X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 256 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 254+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 256 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 ∧ 1 ≤ X₀ for location eval_Loopus2011_ex2_bb1_in_v5

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 4 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ X₁ ≤ X₁₀ for location eval_Loopus2011_ex2_bb8_in_v2

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 3 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 5 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ 1+X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ 3+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 0 ∧ 1+X₈ ≤ X₇ ∧ X₇+X₈ ≤ 1 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 1 ∧ 1+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ 1+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 2+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 1 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 3 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ 1+X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 3 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 2 ∧ X₄+X₅ ≤ 6 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 6 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 4 ∧ X₅ ≤ 2+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ 2+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ 3+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 4+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb1_in_v1

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 2 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ 1+X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 1 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 2 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 2 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ X₄+X₅ ≤ 5 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 2 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 2 ∧ X₅ ≤ 1+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 3+X₂ ∧ X₂+X₄ ≤ 5 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 256 ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_1_v7

Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₈ ∧ X₈+X₉ ≤ 1 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 2+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 3+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 256 ∧ 1+X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ 1+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ 2+X₉ ≤ X₀ ∧ X₀+X₉ ≤ 255 ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 256+X₉ ∧ 1 ≤ X₄+X₉ ∧ X₄ ≤ 2+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ 255+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 257 ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 3 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 5 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ 1+X₈ ≤ X₀ ∧ X₀+X₈ ≤ 256 ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 4 ≤ X₅+X₈ ∧ X₅ ≤ 255+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ 1+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ 3+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 3 ≤ X₀+X₈ ∧ X₀ ≤ 254+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 2+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 257 ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 256 ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 255+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ 1+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 3 ≤ X₀+X₇ ∧ X₀ ≤ 254+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 258 ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 4 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 254+X₆ ∧ 3 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 256 ∧ X₅ ≤ 255+X₄ ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 255+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 255+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 2+X₀ ∧ X₀+X₅ ≤ 511 ∧ 3 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₅ ∧ 4 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 2+X₂ ≤ X₅ ∧ 5 ≤ X₀+X₅ ∧ X₀ ≤ 252+X₅ ∧ X₄ ≤ 2 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 6 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 4 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 257 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ 2+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 254+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 2+X₀ ∧ X₀+X₃ ≤ 259 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 254+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 257 ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ for location eval_Loopus2011_ex2_1_v5

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb4_in_v3

Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₈ ∧ X₈+X₉ ≤ 1 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 2+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 3+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 256 ∧ 1+X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ 1+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ 2+X₉ ≤ X₀ ∧ X₀+X₉ ≤ 255 ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 256+X₉ ∧ 1 ≤ X₄+X₉ ∧ X₄ ≤ 2+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 1 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ 255+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 257 ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 3 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 5 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ 1+X₈ ≤ X₀ ∧ X₀+X₈ ≤ 256 ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 4 ≤ X₅+X₈ ∧ X₅ ≤ 255+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ 1+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ 3+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 3 ≤ X₀+X₈ ∧ X₀ ≤ 254+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 2+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 257 ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 256 ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 255+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ 1+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 3 ≤ X₀+X₇ ∧ X₀ ≤ 254+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 258 ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 4 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 254+X₆ ∧ 3 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 256 ∧ X₅ ≤ 255+X₄ ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 255+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 255+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 2+X₀ ∧ X₀+X₅ ≤ 511 ∧ 3 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₅ ∧ 4 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 2+X₂ ≤ X₅ ∧ 5 ≤ X₀+X₅ ∧ X₀ ≤ 252+X₅ ∧ X₄ ≤ 2 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 6 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 4 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 257 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ 2+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 254+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 2+X₀ ∧ X₀+X₃ ≤ 259 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 254+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 257 ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ for location eval_Loopus2011_ex2_0_v5

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 4 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ 1+X₁₀ ≤ X₁ for location eval_Loopus2011_ex2_bb5_in_v2

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb2_in_v4

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb11_in_v1

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 2 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ 1+X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 1 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 2 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 2 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 2 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ X₄+X₅ ≤ 5 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 2 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 2 ∧ X₅ ≤ 1+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 3+X₂ ∧ X₂+X₄ ≤ 5 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 256 ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb1_in_v6

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 1+X₁₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb5_in_v1

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 1+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 255 ∧ X₄+X₉ ≤ 5 ∧ 1+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 5 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 255+X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 256 ∧ X₄+X₈ ≤ 4 ∧ 1+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 5 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 2 ≤ X₅+X₈ ∧ X₅ ≤ 254+X₈ ∧ X₄ ≤ 4+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 256 ∧ X₄+X₇ ≤ 5 ∧ 1+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₅ ≤ 254+X₇ ∧ X₄ ≤ 3+X₇ ∧ 3 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 257 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 253+X₆ ∧ X₄ ≤ 3+X₆ ∧ 3 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 255 ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 253+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 253+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 2+X₀ ∧ 2 ≤ X₅ ∧ X₄ ≤ 2+X₅ ∧ 4 ≤ X₃+X₅ ∧ X₃ ≤ 2+X₅ ∧ 4 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 2+X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 4+X₀ ∧ 2 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb3_in

Found invariant 1 ≤ 0 for location eval_Loopus2011_ex2_bb2_in_v6

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 3 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 2 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ X₉ ∧ 3 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 2 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₅ ∧ X₅+X₆ ≤ 3 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ X₄+X₅ ≤ 5 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 2 ∧ 1+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 3 ∧ X₅ ≤ 1+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb11_in_v3

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 1+X₉ ≤ X₅ ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₄ ≤ 3+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 1+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 2 ≤ X₅+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄+X₅ ≤ 259 ∧ X₅ ≤ 2+X₀ ∧ 2 ≤ X₅ ∧ X₄ ≤ 2+X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb5_in_v4

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ X₉ ≤ X₅ ∧ X₅+X₉ ≤ 3 ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 5 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 2 ≤ X₅+X₉ ∧ X₅ ≤ 1+X₉ ∧ X₄ ≤ 3+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ 3+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 0 ∧ 1+X₈ ≤ X₇ ∧ X₇+X₈ ≤ 1 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 1 ∧ 1+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ 1+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 2+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 1 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ X₇ ≤ X₅ ∧ X₅+X₇ ≤ 3 ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ 1+X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 3 ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 2 ∧ X₄+X₅ ≤ 6 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 6 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 4 ∧ X₅ ≤ 2+X₀ ∧ 1 ≤ X₅ ∧ X₄ ≤ 3+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ 2+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ 3+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 4+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_0_v1

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ 1+X₁ ≤ X₁₀ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb10_in

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb1_in_v3

Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₈ ∧ X₈+X₉ ≤ 1 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 2+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 3+X₉ ≤ X₅ ∧ 1+X₉ ≤ X₄ ∧ X₄+X₉ ≤ 1 ∧ 1+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 1 ∧ 2+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ 1+X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ 1 ≤ X₄+X₉ ∧ X₄ ≤ 1+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 1+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 2 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ X₀ ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 4 ≤ X₅+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ X₈ ∧ 3 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 2 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 2+X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 2 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 2 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 3 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 1+X₃ ≤ X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 3 ≤ X₀+X₆ ∧ X₅ ≤ 2+X₀ ∧ 3 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₅ ∧ 4 ≤ X₃+X₅ ∧ 2+X₃ ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₅ ∧ 4 ≤ X₀+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 2 ∧ 1+X₄ ≤ X₂ ∧ X₂+X₄ ≤ 3 ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ X₂ ≤ 1+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_Loopus2011_ex2_bb7_in_v4

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ X₁ ≤ X₁₀ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb8_in_v3

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ 1+X₁ ≤ X₁₀ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb9_in_v2

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_1_v2

Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 2+X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 2 ≤ X₄+X₉ ∧ X₄ ≤ 2+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ 1+X₇ ∧ X₇+X₈ ≤ 1 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 3+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 5 ∧ 1+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 3 ∧ 3+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 5 ∧ 3+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 5 ∧ 3+X₈ ≤ X₁₁ ∧ X₈ ≤ 1+X₀ ∧ 1 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1+X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 5 ≤ X₅+X₈ ∧ X₅ ≤ 3+X₈ ∧ 3 ≤ X₄+X₈ ∧ X₄ ≤ 1+X₈ ∧ 5 ≤ X₃+X₈ ∧ X₃ ≤ 3+X₈ ∧ 5 ≤ X₂+X₈ ∧ X₂ ≤ 3+X₈ ∧ 5 ≤ X₈+X₁₁ ∧ 1 ≤ X₀+X₈ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 2+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 2 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ 2+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 1+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 3 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 3 ≤ X₄+X₆ ∧ X₄ ≤ 1+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ 2+X₄ ∧ X₄+X₅ ≤ 6 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 6 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₄ ≤ 2 ∧ 2+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 6 ∧ 2+X₄ ≤ X₂ ∧ X₂+X₄ ≤ 6 ∧ 2+X₄ ≤ X₁₁ ∧ X₄ ≤ 2+X₀ ∧ 2 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ X₃ ≤ 2+X₄ ∧ 6 ≤ X₂+X₄ ∧ X₂ ≤ 2+X₄ ∧ 6 ≤ X₄+X₁₁ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 1+X₁₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb7_in

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb9_in_v1

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location eval_Loopus2011_ex2_1_v3

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 0 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ X₆ ≤ X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 4 ∧ 4+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 4 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ X₄ ≤ 4+X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ 1+X₁₀ ≤ X₁ for location eval_Loopus2011_ex2_bb7_in_v2

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_0_v4

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 4 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location eval_Loopus2011_ex2_bb4_in_v2

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb7_in_v1

Found invariant X₉ ≤ 1 ∧ X₉ ≤ X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 1+X₉ ≤ X₅ ∧ X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ 1 ≤ X₄+X₉ ∧ X₄ ≤ 1+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 1+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 1+X₈ ≤ X₅ ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 2 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ 1+X₀ ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 3 ≤ X₅+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ X₈ ∧ 3 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 1 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 2 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 3 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 2+X₀ ∧ 2 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 2 ∧ 1+X₄ ≤ X₂ ∧ X₂+X₄ ≤ 3 ∧ X₄ ≤ 1+X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb7_in_v3

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ 1+X₇ ∧ X₇+X₉ ≤ 1 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 3 ∧ 1+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 3 ∧ 3+X₉ ≤ X₄ ∧ X₄+X₉ ≤ 5 ∧ 3+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 5 ∧ 3+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 5 ∧ X₉+X₁₁ ≤ 252 ∧ X₀+X₉ ≤ 256 ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 1 ≤ X₇+X₉ ∧ 1+X₇ ≤ X₉ ∧ 3 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 1+X₉ ∧ 5 ≤ X₄+X₉ ∧ X₄ ≤ 3+X₉ ∧ 5 ≤ X₃+X₉ ∧ X₃ ≤ 3+X₉ ∧ 5 ≤ X₂+X₉ ∧ X₂ ≤ 3+X₉ ∧ X₁₁ ≤ 250+X₉ ∧ X₀ ≤ 254+X₉ ∧ X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 2+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 2 ≤ X₅+X₈ ∧ X₅ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 2+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₅+X₇ ∧ X₅ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 4 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 2 ∧ 2+X₅ ≤ X₄ ∧ X₄+X₅ ≤ 6 ∧ 2+X₅ ≤ X₃ ∧ X₃+X₅ ≤ 6 ∧ 2+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 6 ∧ X₅+X₁₁ ≤ 253 ∧ X₀+X₅ ≤ 257 ∧ 2 ≤ X₅ ∧ 6 ≤ X₄+X₅ ∧ X₄ ≤ 2+X₅ ∧ 6 ≤ X₃+X₅ ∧ X₃ ≤ 2+X₅ ∧ 6 ≤ X₂+X₅ ∧ X₂ ≤ 2+X₅ ∧ X₁₁ ≤ 249+X₅ ∧ X₀ ≤ 253+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ 1+X₁ ≤ X₁₀ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb11_in

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 4 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ ∧ 1+X₁ ≤ X₁₀ for location eval_Loopus2011_ex2_bb9_in_v3

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb4_in_v1

Found invariant X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 6 ∧ 0 ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ 4+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 8 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ X₂ ≤ 4 ∧ 1 ≤ X₂ for location eval_Loopus2011_ex2_bb12_in

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location eval_Loopus2011_ex2_bb1_in

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_0_v2

Found invariant X₇ ≤ 0 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 0 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₆ ≤ 0 ∧ 4+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ 0 ≤ X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ X₀ ∧ X₀ ≤ X₁₁ for location eval_Loopus2011_ex2_bb2_in_v3

Found invariant X₉ ≤ 1 ∧ X₉ ≤ X₈ ∧ X₈+X₉ ≤ 2 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 3 ∧ 1+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 257 ∧ X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ X₉ ≤ X₀ ∧ X₀+X₉ ≤ 256 ∧ 0 ≤ 253+X₉ ∧ 0 ≤ 252+X₈+X₉ ∧ X₈ ≤ 254+X₉ ∧ 0 ≤ 252+X₇+X₉ ∧ X₇ ≤ 254+X₉ ∧ 0 ≤ 251+X₆+X₉ ∧ X₆ ≤ 255+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 509+X₉ ∧ 0 ≤ 252+X₄+X₉ ∧ X₄ ≤ 254+X₉ ∧ 0 ≤ 252+X₃+X₉ ∧ X₃ ≤ 254+X₉ ∧ 0 ≤ 252+X₂+X₉ ∧ X₂ ≤ 254+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ 508+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 1+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 257 ∧ X₈ ≤ X₄ ∧ X₄+X₈ ≤ 2 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ X₀+X₈ ≤ 256 ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 3 ≤ X₅+X₈ ∧ X₅ ≤ 255+X₈ ∧ 2 ≤ X₄+X₈ ∧ X₄ ≤ X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ X₀ ≤ 254+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 257 ∧ X₇ ≤ X₄ ∧ X₄+X₇ ≤ 2 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ X₇ ≤ X₂ ∧ X₂+X₇ ≤ 2 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 256 ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₅ ≤ 255+X₇ ∧ 2 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 2 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ 254+X₇ ∧ X₆ ≤ 2 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 258 ∧ X₆ ≤ 1+X₄ ∧ X₄+X₆ ≤ 3 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ 1+X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ X₅ ≤ 254+X₆ ∧ 3 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 1+X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 3 ≤ X₀+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 256 ∧ X₅ ≤ 255+X₄ ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 255+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 255+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 1+X₀ ∧ X₀+X₅ ≤ 511 ∧ 2 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ X₀ ≤ 253+X₅ ∧ X₄ ≤ 1 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 2 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 2 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 256 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ 254+X₄ ∧ X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 256 ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 254+X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 256 ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 254+X₂ ∧ X₀ ≤ 255 ∧ 1 ≤ X₀ for location eval_Loopus2011_ex2_1_v6

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 1+X₉ ≤ X₅ ∧ X₄+X₉ ≤ 5 ∧ X₉ ≤ X₃ ∧ X₃+X₉ ≤ 2 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 3 ≤ X₅+X₉ ∧ X₄ ≤ 3+X₉ ∧ 1 ≤ X₃+X₉ ∧ X₃ ≤ 1+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 2+X₈ ≤ X₅ ∧ X₄+X₈ ≤ 4 ∧ X₈ ≤ X₃ ∧ X₃+X₈ ≤ 2 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 2 ≤ X₅+X₈ ∧ X₄ ≤ 4+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 1+X₇ ≤ X₅ ∧ X₄+X₇ ≤ 5 ∧ X₇ ≤ X₃ ∧ X₃+X₇ ≤ 2 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 3 ≤ X₅+X₇ ∧ X₄ ≤ 3+X₇ ∧ 2 ≤ X₃+X₇ ∧ X₃ ≤ X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 2 ∧ 1+X₆ ≤ X₅ ∧ X₄+X₆ ≤ 5 ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 3 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₄ ≤ 3+X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₄+X₅ ≤ 259 ∧ X₅ ≤ 2+X₀ ∧ 2 ≤ X₅ ∧ X₄ ≤ 2+X₅ ∧ 3 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 3+X₃ ∧ X₃+X₄ ≤ 5 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 1 ∧ 1+X₃ ≤ X₂ ∧ X₂+X₃ ≤ 3 ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb9_in_v4

Found invariant X₉ ≤ 0 ∧ 1+X₉ ≤ X₈ ∧ X₈+X₉ ≤ 1 ∧ 1+X₉ ≤ X₇ ∧ X₇+X₉ ≤ 1 ∧ 2+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 255 ∧ 2+X₉ ≤ X₄ ∧ X₄+X₉ ≤ 2 ∧ 2+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 2+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 2 ∧ 2+X₉ ≤ X₀ ∧ X₀+X₉ ≤ 255 ∧ 0 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ X₈ ≤ 1+X₉ ∧ 1 ≤ X₇+X₉ ∧ X₇ ≤ 1+X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ 2+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 255+X₉ ∧ 2 ≤ X₄+X₉ ∧ X₄ ≤ 2+X₉ ∧ 2 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 2 ≤ X₂+X₉ ∧ X₂ ≤ 2+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ 255+X₉ ∧ X₈ ≤ 1 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 2 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 3 ∧ 3+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 256 ∧ 1+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 3 ∧ 1+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 5 ∧ 1+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 3 ∧ 1+X₈ ≤ X₀ ∧ X₀+X₈ ≤ 256 ∧ 1 ≤ X₈ ∧ 2 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 3 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 5 ≤ X₅+X₈ ∧ X₅ ≤ 254+X₈ ∧ 3 ≤ X₄+X₈ ∧ X₄ ≤ 1+X₈ ∧ 3 ≤ X₃+X₈ ∧ X₃ ≤ 3+X₈ ∧ 3 ≤ X₂+X₈ ∧ X₂ ≤ 1+X₈ ∧ 3 ≤ X₀+X₈ ∧ X₀ ≤ 254+X₈ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 3 ∧ 3+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 256 ∧ 1+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 3 ∧ 1+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ 1+X₇ ≤ X₀ ∧ X₀+X₇ ≤ 256 ∧ 1 ≤ X₇ ∧ 3 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 5 ≤ X₅+X₇ ∧ X₅ ≤ 254+X₇ ∧ 3 ≤ X₄+X₇ ∧ X₄ ≤ 1+X₇ ∧ 3 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 3 ≤ X₀+X₇ ∧ X₀ ≤ 254+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 257 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 4 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 4 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₅+X₆ ∧ X₅ ≤ 253+X₆ ∧ 4 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 4 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 4 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₅ ≤ 255 ∧ X₅ ≤ 253+X₄ ∧ X₄+X₅ ≤ 257 ∧ X₅ ≤ 253+X₃ ∧ X₃+X₅ ≤ 257 ∧ X₅ ≤ 253+X₂ ∧ X₂+X₅ ≤ 257 ∧ X₅ ≤ 2+X₀ ∧ X₀+X₅ ≤ 510 ∧ 4 ≤ X₅ ∧ 6 ≤ X₄+X₅ ∧ 2+X₄ ≤ X₅ ∧ 6 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 6 ≤ X₂+X₅ ∧ 2+X₂ ≤ X₅ ∧ 6 ≤ X₀+X₅ ∧ X₀ ≤ 251+X₅ ∧ X₄ ≤ 2 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 6 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 4 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 257 ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ X₃ ≤ 2+X₄ ∧ 4 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ X₀ ≤ 253+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 2+X₀ ∧ X₀+X₃ ≤ 259 ∧ 2 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ 253+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 257 ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ 253+X₂ ∧ X₀ ≤ 255 ∧ 2 ≤ X₀ for location eval_Loopus2011_ex2_bb2_in_v5

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 1+X₁ ≤ X₁₀ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb1_in_v2

Found invariant X₉ ≤ 1 ∧ X₉ ≤ 1+X₈ ∧ X₈+X₉ ≤ 1 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 2 ∧ X₉ ≤ X₆ ∧ X₆+X₉ ≤ 2 ∧ 1+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 3 ∧ X₄+X₉ ≤ 5 ∧ 1+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 5 ∧ 1+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 3 ∧ X₉ ≤ 1+X₀ ∧ 1 ≤ X₉ ∧ 1 ≤ X₈+X₉ ∧ 1+X₈ ≤ X₉ ∧ 2 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 2 ≤ X₆+X₉ ∧ X₆ ≤ X₉ ∧ 3 ≤ X₅+X₉ ∧ X₅ ≤ 1+X₉ ∧ X₄ ≤ 3+X₉ ∧ 3 ≤ X₃+X₉ ∧ X₃ ≤ 3+X₉ ∧ 3 ≤ X₂+X₉ ∧ X₂ ≤ 1+X₉ ∧ 1 ≤ X₀+X₉ ∧ X₈ ≤ 0 ∧ 1+X₈ ≤ X₇ ∧ X₇+X₈ ≤ 1 ∧ 1+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 1 ∧ 2+X₈ ≤ X₅ ∧ X₅+X₈ ≤ 2 ∧ X₄+X₈ ≤ 4 ∧ 2+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 2+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 2 ∧ X₈ ≤ X₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ 1+X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 2 ≤ X₅+X₈ ∧ X₅ ≤ 2+X₈ ∧ X₄ ≤ 4+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 0 ≤ X₀+X₈ ∧ X₇ ≤ 1 ∧ X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 1+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 3 ∧ X₄+X₇ ≤ 5 ∧ 1+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 5 ∧ 1+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 3 ∧ X₇ ≤ 1+X₀ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 3 ≤ X₅+X₇ ∧ X₅ ≤ 1+X₇ ∧ X₄ ≤ 3+X₇ ∧ 3 ≤ X₃+X₇ ∧ X₃ ≤ 3+X₇ ∧ 3 ≤ X₂+X₇ ∧ X₂ ≤ 1+X₇ ∧ 1 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 3 ∧ X₄+X₆ ≤ 5 ∧ 1+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 1+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 3 ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ X₄ ≤ 3+X₆ ∧ 3 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 2 ∧ X₄+X₅ ≤ 6 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 6 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 4 ∧ X₅ ≤ 2+X₀ ∧ 2 ≤ X₅ ∧ X₄ ≤ 2+X₅ ∧ 4 ≤ X₃+X₅ ∧ X₃ ≤ 2+X₅ ∧ 4 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ 4 ∧ X₄ ≤ 2+X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ 2+X₂ ∧ X₂+X₄ ≤ 6 ∧ X₄ ≤ 4+X₀ ∧ X₀+X₄ ≤ 257 ∧ X₃ ≤ 4 ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 6 ∧ X₃ ≤ 4+X₀ ∧ 2 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 2+X₀ ∧ 2 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb2_in_v1

Found invariant X₈ ≤ 0 ∧ X₈ ≤ X₇ ∧ X₇+X₈ ≤ 0 ∧ 2+X₈ ≤ X₆ ∧ X₆+X₈ ≤ 2 ∧ 4+X₈ ≤ X₄ ∧ X₄+X₈ ≤ 4 ∧ 4+X₈ ≤ X₃ ∧ X₃+X₈ ≤ 4 ∧ 4+X₈ ≤ X₂ ∧ X₂+X₈ ≤ 4 ∧ X₈+X₁₁ ≤ 251 ∧ X₀+X₈ ≤ 255 ∧ 0 ≤ X₈ ∧ 0 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 2 ≤ X₆+X₈ ∧ X₆ ≤ 2+X₈ ∧ 4 ≤ X₄+X₈ ∧ X₄ ≤ 4+X₈ ∧ 4 ≤ X₃+X₈ ∧ X₃ ≤ 4+X₈ ∧ 4 ≤ X₂+X₈ ∧ X₂ ≤ 4+X₈ ∧ X₁₁ ≤ 251+X₈ ∧ X₀ ≤ 255+X₈ ∧ X₇ ≤ 0 ∧ 2+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 2 ∧ 4+X₇ ≤ X₄ ∧ X₄+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ X₇+X₁₁ ≤ 251 ∧ X₀+X₇ ≤ 255 ∧ 0 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ X₆ ≤ 2+X₇ ∧ 4 ≤ X₄+X₇ ∧ X₄ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ X₁₁ ≤ 251+X₇ ∧ X₀ ≤ 255+X₇ ∧ X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₄+X₆ ≤ 6 ∧ 2+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 6 ∧ 2+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 6 ∧ X₆+X₁₁ ≤ 253 ∧ X₀+X₆ ≤ 257 ∧ 2 ≤ X₆ ∧ 6 ≤ X₄+X₆ ∧ X₄ ≤ 2+X₆ ∧ 6 ≤ X₃+X₆ ∧ X₃ ≤ 2+X₆ ∧ 6 ≤ X₂+X₆ ∧ X₂ ≤ 2+X₆ ∧ X₁₁ ≤ 249+X₆ ∧ X₀ ≤ 253+X₆ ∧ X₄ ≤ 4 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 8 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 8 ∧ X₄+X₁₁ ≤ 255 ∧ X₀+X₄ ≤ 259 ∧ 4 ≤ X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 8 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ X₁₁ ≤ 247+X₄ ∧ X₀ ≤ 251+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃+X₁₁ ≤ 255 ∧ X₀+X₃ ≤ 259 ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ X₁₁ ≤ 247+X₃ ∧ X₀ ≤ 251+X₃ ∧ X₂ ≤ 4 ∧ X₂+X₁₁ ≤ 255 ∧ X₀+X₂ ≤ 259 ∧ 4 ≤ X₂ ∧ X₁₁ ≤ 247+X₂ ∧ X₀ ≤ 251+X₂ ∧ X₁₁ ≤ 251 ∧ 4+X₁₁ ≤ X₀ ∧ X₀+X₁₁ ≤ 506 ∧ 1+X₁₀ ≤ X₁ ∧ X₀ ≤ 255 for location eval_Loopus2011_ex2_bb5_in_v3

Found invariant X₉ ≤ 0 ∧ X₉ ≤ X₇ ∧ X₇+X₉ ≤ 0 ∧ 1+X₉ ≤ X₆ ∧ X₆+X₉ ≤ 1 ∧ 4+X₉ ≤ X₅ ∧ X₅+X₉ ≤ 4 ∧ 4+X₉ ≤ X₃ ∧ X₃+X₉ ≤ 4 ∧ 4+X₉ ≤ X₂ ∧ X₂+X₉ ≤ 4 ∧ 4+X₉ ≤ X₁₁ ∧ X₉ ≤ X₀ ∧ 0 ≤ X₉ ∧ 0 ≤ X₇+X₉ ∧ X₇ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ X₆ ≤ 1+X₉ ∧ 4 ≤ X₅+X₉ ∧ X₅ ≤ 4+X₉ ∧ 4 ≤ X₃+X₉ ∧ X₃ ≤ 4+X₉ ∧ 4 ≤ X₂+X₉ ∧ X₂ ≤ 4+X₉ ∧ 4 ≤ X₉+X₁₁ ∧ 0 ≤ X₀+X₉ ∧ X₇ ≤ 0 ∧ 1+X₇ ≤ X₆ ∧ X₆+X₇ ≤ 1 ∧ 4+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 4 ∧ 4+X₇ ≤ X₃ ∧ X₃+X₇ ≤ 4 ∧ 4+X₇ ≤ X₂ ∧ X₂+X₇ ≤ 4 ∧ 4+X₇ ≤ X₁₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 1 ≤ X₆+X₇ ∧ X₆ ≤ 1+X₇ ∧ 4 ≤ X₅+X₇ ∧ X₅ ≤ 4+X₇ ∧ 4 ≤ X₃+X₇ ∧ X₃ ≤ 4+X₇ ∧ 4 ≤ X₂+X₇ ∧ X₂ ≤ 4+X₇ ∧ 4 ≤ X₇+X₁₁ ∧ 0 ≤ X₀+X₇ ∧ X₆ ≤ 1 ∧ 3+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 5 ∧ 3+X₆ ≤ X₃ ∧ X₃+X₆ ≤ 5 ∧ 3+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 5 ∧ 3+X₆ ≤ X₁₁ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ X₅ ≤ 3+X₆ ∧ 5 ≤ X₃+X₆ ∧ X₃ ≤ 3+X₆ ∧ 5 ≤ X₂+X₆ ∧ X₂ ≤ 3+X₆ ∧ 5 ≤ X₆+X₁₁ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 4 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 8 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 8 ∧ X₅ ≤ X₁₁ ∧ X₅ ≤ 4+X₀ ∧ 4 ≤ X₅ ∧ 8 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 8 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 8 ≤ X₅+X₁₁ ∧ 4 ≤ X₀+X₅ ∧ X₃ ≤ 4 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 8 ∧ X₃ ≤ X₁₁ ∧ X₃ ≤ 4+X₀ ∧ 4 ≤ X₃ ∧ 8 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 8 ≤ X₃+X₁₁ ∧ 4 ≤ X₀+X₃ ∧ X₂ ≤ 4 ∧ X₂ ≤ X₁₁ ∧ X₂ ≤ 4+X₀ ∧ 4 ≤ X₂ ∧ 8 ≤ X₂+X₁₁ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁₁ ∧ 4 ≤ X₀+X₁₁ ∧ 4+X₀ ≤ X₁₁ ∧ 0 ≤ X₀ for location eval_Loopus2011_ex2_bb2_in_v2

Cut unsatisfiable transition [t₃₀₅: eval_Loopus2011_ex2_bb2_in_v1→eval_Loopus2011_ex2_bb4_in_v1; t₃₂₂: eval_Loopus2011_ex2_1_v3→eval_Loopus2011_ex2_bb12_in; t₃₂₄: eval_Loopus2011_ex2_bb2_in_v3→eval_Loopus2011_ex2_bb3_in; t₃₂₇: eval_Loopus2011_ex2_bb5_in_v2→eval_Loopus2011_ex2_bb7_in_v1; t₃₂₉: eval_Loopus2011_ex2_bb5_in_v2→eval_Loopus2011_ex2_bb6_in; t₃₄₇: eval_Loopus2011_ex2_bb9_in_v3→eval_Loopus2011_ex2_bb10_in; t₃₅₄: eval_Loopus2011_ex2_bb5_in_v4→eval_Loopus2011_ex2_bb7_in_v2; t₃₅₅: eval_Loopus2011_ex2_bb5_in_v4→eval_Loopus2011_ex2_bb6_in; t₃₆₂: eval_Loopus2011_ex2_bb2_in_v5→eval_Loopus2011_ex2_bb4_in_v3; t₃₆₈: eval_Loopus2011_ex2_1_v6→eval_Loopus2011_ex2_bb2_in_v6; t₃₇₀: eval_Loopus2011_ex2_bb2_in_v6→eval_Loopus2011_ex2_bb3_in; t₃₇₅: eval_Loopus2011_ex2_bb9_in_v4→eval_Loopus2011_ex2_bb10_in; t₃₈₂: eval_Loopus2011_ex2_1_v7→eval_Loopus2011_ex2_bb2_in_v7; t₃₈₄: eval_Loopus2011_ex2_bb2_in_v7→eval_Loopus2011_ex2_bb3_in]

Cut unreachable locations [eval_Loopus2011_ex2_bb2_in_v6; eval_Loopus2011_ex2_bb2_in_v7] from the program graph

Analysing control-flow refined program

MPRF for transition t₃₃₂: eval_Loopus2011_ex2_bb1_in_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_0_v4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀+X₁₁ ≤ 506 ∧ X₀+X₂ ≤ 259 ∧ X₀+X₃ ≤ 259 ∧ X₀+X₄ ≤ 259 ∧ X₀+X₆ ≤ 257 ∧ X₀ ≤ 255 ∧ X₀ ≤ 255+X₇ ∧ X₀+X₇ ≤ 255 ∧ X₀ ≤ 255+X₈ ∧ X₀+X₈ ≤ 255 ∧ X₂+X₁₁ ≤ 255 ∧ X₃+X₁₁ ≤ 255 ∧ X₄+X₁₁ ≤ 255 ∧ X₀ ≤ 253+X₆ ∧ X₆+X₁₁ ≤ 253 ∧ X₀ ≤ 251+X₂ ∧ X₀ ≤ 251+X₃ ∧ X₀ ≤ 251+X₄ ∧ X₁₁ ≤ 251+X₇ ∧ X₇+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251+X₈ ∧ X₈+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251 ∧ X₁₁ ≤ 249+X₆ ∧ X₁₁ ≤ 247+X₂ ∧ X₁₁ ≤ 247+X₃ ∧ X₁₁ ≤ 247+X₄ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₂+X₈ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₃+X₈ ≤ 4 ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₄ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ X₆ ≤ 2+X₈ ∧ X₆+X₈ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ X₈ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₆ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2+X₆ ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 2 ≤ X₆+X₈ ∧ 2+X₈ ≤ X₆ ∧ 4+X₁₁ ≤ X₀ ∧ 4 ≤ X₂ ∧ 4 ≤ X₂+X₇ ∧ 4+X₇ ≤ X₂ ∧ 4 ≤ X₂+X₈ ∧ 4+X₈ ≤ X₂ ∧ 4 ≤ X₃ ∧ 4 ≤ X₃+X₇ ∧ 4+X₇ ≤ X₃ ∧ 4 ≤ X₃+X₈ ∧ 4+X₈ ≤ X₃ ∧ 4 ≤ X₄ ∧ 4 ≤ X₄+X₇ ∧ 4+X₇ ≤ X₄ ∧ 4 ≤ X₄+X₈ ∧ 4+X₈ ≤ X₄ ∧ 6 ≤ X₂+X₆ ∧ 6 ≤ X₃+X₆ ∧ 6 ≤ X₄+X₆ ∧ 8 ≤ X₂+X₃ ∧ 8 ≤ X₂+X₄ ∧ 8 ≤ X₃+X₄ ∧ X₁₀ ≤ X₁ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₇ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₈ ∧ X₇+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₈ ≤ 0 of depth 1:

new bound:

X₁₁+260 {O(n)}

• eval_Loopus2011_ex2_0_v4: [255-X₀]
• eval_Loopus2011_ex2_1_v4: [255-X₀]
• eval_Loopus2011_ex2_bb1_in_v3: [256-X₀]
• eval_Loopus2011_ex2_bb2_in_v4: [252-X₀]
• eval_Loopus2011_ex2_bb4_in_v3: [252-X₀]
• eval_Loopus2011_ex2_bb5_in_v3: [126⋅X₆-X₀]
• eval_Loopus2011_ex2_bb7_in_v1: [42⋅X₂+42⋅X₆-X₀]

MPRF for transition t₃₃₃: eval_Loopus2011_ex2_0_v4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_1_v4(X₀, nondef.0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀+X₁₁ ≤ 506 ∧ X₀+X₂ ≤ 259 ∧ X₀+X₃ ≤ 259 ∧ X₀+X₄ ≤ 259 ∧ X₀+X₆ ≤ 257 ∧ X₀ ≤ 255 ∧ X₀ ≤ 255+X₇ ∧ X₀+X₇ ≤ 255 ∧ X₀ ≤ 255+X₈ ∧ X₀+X₈ ≤ 255 ∧ X₂+X₁₁ ≤ 255 ∧ X₃+X₁₁ ≤ 255 ∧ X₄+X₁₁ ≤ 255 ∧ X₀ ≤ 253+X₆ ∧ X₆+X₁₁ ≤ 253 ∧ X₀ ≤ 251+X₂ ∧ X₀ ≤ 251+X₃ ∧ X₀ ≤ 251+X₄ ∧ X₁₁ ≤ 251+X₇ ∧ X₇+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251+X₈ ∧ X₈+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251 ∧ X₁₁ ≤ 249+X₆ ∧ X₁₁ ≤ 247+X₂ ∧ X₁₁ ≤ 247+X₃ ∧ X₁₁ ≤ 247+X₄ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₂+X₈ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₃+X₈ ≤ 4 ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₄ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ X₆ ≤ 2+X₈ ∧ X₆+X₈ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2+X₆ ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 2 ≤ X₆+X₈ ∧ 2+X₈ ≤ X₆ ∧ 4+X₁₁ ≤ X₀ ∧ 4 ≤ X₂ ∧ 4 ≤ X₂+X₇ ∧ 4+X₇ ≤ X₂ ∧ 4 ≤ X₂+X₈ ∧ 4+X₈ ≤ X₂ ∧ 4 ≤ X₃ ∧ 4 ≤ X₃+X₇ ∧ 4+X₇ ≤ X₃ ∧ 4 ≤ X₃+X₈ ∧ 4+X₈ ≤ X₃ ∧ 4 ≤ X₄ ∧ 4 ≤ X₄+X₇ ∧ 4+X₇ ≤ X₄ ∧ 4 ≤ X₄+X₈ ∧ 4+X₈ ≤ X₄ ∧ 6 ≤ X₂+X₆ ∧ 6 ≤ X₃+X₆ ∧ 6 ≤ X₄+X₆ ∧ 8 ≤ X₂+X₃ ∧ 8 ≤ X₂+X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₇ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₈ ∧ X₇+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₈ ≤ 0 of depth 1:

new bound:

X₁₁+1016 {O(n)}

• eval_Loopus2011_ex2_0_v4: [1+252⋅X₂-X₀]
• eval_Loopus2011_ex2_1_v4: [252⋅X₂-X₀]
• eval_Loopus2011_ex2_bb1_in_v3: [253⋅X₃-X₀]
• eval_Loopus2011_ex2_bb2_in_v4: [1008-X₀]
• eval_Loopus2011_ex2_bb4_in_v3: [504⋅X₄+504⋅X₆-X₀-504⋅X₃]
• eval_Loopus2011_ex2_bb5_in_v3: [504⋅X₆-X₀]
• eval_Loopus2011_ex2_bb7_in_v1: [252⋅X₃-X₀]

MPRF for transition t₃₃₄: eval_Loopus2011_ex2_1_v4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb2_in_v4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 2 ≤ X₂ ∧ X₀+X₁₁ ≤ 506 ∧ X₀+X₂ ≤ 259 ∧ X₀+X₃ ≤ 259 ∧ X₀+X₄ ≤ 259 ∧ X₀+X₆ ≤ 257 ∧ X₀ ≤ 255 ∧ X₀ ≤ 255+X₇ ∧ X₀+X₇ ≤ 255 ∧ X₀ ≤ 255+X₈ ∧ X₀+X₈ ≤ 255 ∧ X₂+X₁₁ ≤ 255 ∧ X₃+X₁₁ ≤ 255 ∧ X₄+X₁₁ ≤ 255 ∧ X₀ ≤ 253+X₆ ∧ X₆+X₁₁ ≤ 253 ∧ X₀ ≤ 251+X₂ ∧ X₀ ≤ 251+X₃ ∧ X₀ ≤ 251+X₄ ∧ X₁₁ ≤ 251+X₇ ∧ X₇+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251+X₈ ∧ X₈+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251 ∧ X₁₁ ≤ 249+X₆ ∧ X₁₁ ≤ 247+X₂ ∧ X₁₁ ≤ 247+X₃ ∧ X₁₁ ≤ 247+X₄ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₂+X₈ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₃+X₈ ≤ 4 ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₄ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ X₆ ≤ 2+X₈ ∧ X₆+X₈ ≤ 2 ∧ X₆ ≤ 1+X₂ ∧ X₇ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2+X₆ ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 2 ≤ X₆+X₈ ∧ 2+X₈ ≤ X₆ ∧ 4+X₁₁ ≤ X₀ ∧ 4 ≤ X₂ ∧ 4 ≤ X₂+X₇ ∧ 4+X₇ ≤ X₂ ∧ 4 ≤ X₂+X₈ ∧ 4+X₈ ≤ X₂ ∧ 4 ≤ X₃ ∧ 4 ≤ X₃+X₇ ∧ 4+X₇ ≤ X₃ ∧ 4 ≤ X₃+X₈ ∧ 4+X₈ ≤ X₃ ∧ 4 ≤ X₄ ∧ 4 ≤ X₄+X₇ ∧ 4+X₇ ≤ X₄ ∧ 4 ≤ X₄+X₈ ∧ 4+X₈ ≤ X₄ ∧ 6 ≤ X₂+X₆ ∧ 6 ≤ X₃+X₆ ∧ 6 ≤ X₄+X₆ ∧ 8 ≤ X₂+X₃ ∧ 8 ≤ X₂+X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₇ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₈ ∧ X₇+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₈ ≤ 0 of depth 1:

new bound:

X₁₁+264 {O(n)}

• eval_Loopus2011_ex2_0_v4: [249+X₃+2⋅X₆-X₀]
• eval_Loopus2011_ex2_1_v4: [257-X₀]
• eval_Loopus2011_ex2_bb1_in_v3: [256+2⋅X₆-X₀]
• eval_Loopus2011_ex2_bb2_in_v4: [256-X₀]
• eval_Loopus2011_ex2_bb4_in_v3: [64⋅X₄-X₀]
• eval_Loopus2011_ex2_bb5_in_v3: [64⋅X₄-X₀]
• eval_Loopus2011_ex2_bb7_in_v1: [64⋅X₄-X₀]

MPRF for transition t₃₃₅: eval_Loopus2011_ex2_bb2_in_v4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb4_in_v3(X₀, X₁, X₂, X₂, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₀+X₁₁ ≤ 506 ∧ X₀+X₂ ≤ 259 ∧ X₀+X₃ ≤ 259 ∧ X₀+X₄ ≤ 259 ∧ X₀+X₆ ≤ 257 ∧ X₀ ≤ 255 ∧ X₀ ≤ 255+X₇ ∧ X₀+X₇ ≤ 255 ∧ X₀ ≤ 255+X₈ ∧ X₀+X₈ ≤ 255 ∧ X₂+X₁₁ ≤ 255 ∧ X₃+X₁₁ ≤ 255 ∧ X₄+X₁₁ ≤ 255 ∧ X₀ ≤ 253+X₆ ∧ X₆+X₁₁ ≤ 253 ∧ X₀ ≤ 251+X₂ ∧ X₀ ≤ 251+X₃ ∧ X₀ ≤ 251+X₄ ∧ X₁₁ ≤ 251+X₇ ∧ X₇+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251+X₈ ∧ X₈+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251 ∧ X₁₁ ≤ 249+X₆ ∧ X₁₁ ≤ 247+X₂ ∧ X₁₁ ≤ 247+X₃ ∧ X₁₁ ≤ 247+X₄ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₂+X₈ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₃+X₈ ≤ 4 ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₄ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ X₆ ≤ 2+X₈ ∧ X₆+X₈ ≤ 2 ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2+X₆ ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 2 ≤ X₆+X₈ ∧ 2+X₈ ≤ X₆ ∧ 4+X₁₁ ≤ X₀ ∧ 4 ≤ X₂ ∧ 4 ≤ X₂+X₇ ∧ 4+X₇ ≤ X₂ ∧ 4 ≤ X₂+X₈ ∧ 4+X₈ ≤ X₂ ∧ 4 ≤ X₃ ∧ 4 ≤ X₃+X₇ ∧ 4+X₇ ≤ X₃ ∧ 4 ≤ X₃+X₈ ∧ 4+X₈ ≤ X₃ ∧ 4 ≤ X₄ ∧ 4 ≤ X₄+X₇ ∧ 4+X₇ ≤ X₄ ∧ 4 ≤ X₄+X₈ ∧ 4+X₈ ≤ X₄ ∧ 6 ≤ X₂+X₆ ∧ 6 ≤ X₃+X₆ ∧ 6 ≤ X₄+X₆ ∧ 8 ≤ X₂+X₃ ∧ 8 ≤ X₂+X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ X₇ ≤ X₈ ∧ X₇+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₈ ≤ 0 of depth 1:

new bound:

X₁₁+260 {O(n)}

• eval_Loopus2011_ex2_0_v4: [64⋅X₂-X₀]
• eval_Loopus2011_ex2_1_v4: [64⋅X₂-X₀]
• eval_Loopus2011_ex2_bb1_in_v3: [64⋅X₂-X₀]
• eval_Loopus2011_ex2_bb2_in_v4: [256-X₀]
• eval_Loopus2011_ex2_bb4_in_v3: [255-X₀]
• eval_Loopus2011_ex2_bb5_in_v3: [255-X₀]
• eval_Loopus2011_ex2_bb7_in_v1: [128⋅X₆-1-X₀]

MPRF for transition t₃₃₇: eval_Loopus2011_ex2_bb4_in_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb5_in_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1+X₁₀ ≤ X₁ ∧ X₀+X₁₁ ≤ 506 ∧ X₀+X₂ ≤ 259 ∧ X₀+X₃ ≤ 259 ∧ X₀+X₄ ≤ 259 ∧ X₀+X₆ ≤ 257 ∧ X₀ ≤ 255 ∧ X₀ ≤ 255+X₇ ∧ X₀+X₇ ≤ 255 ∧ X₀ ≤ 255+X₈ ∧ X₀+X₈ ≤ 255 ∧ X₂+X₁₁ ≤ 255 ∧ X₃+X₁₁ ≤ 255 ∧ X₄+X₁₁ ≤ 255 ∧ X₀ ≤ 253+X₆ ∧ X₆+X₁₁ ≤ 253 ∧ X₀ ≤ 251+X₂ ∧ X₀ ≤ 251+X₃ ∧ X₀ ≤ 251+X₄ ∧ X₁₁ ≤ 251+X₇ ∧ X₇+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251+X₈ ∧ X₈+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251 ∧ X₁₁ ≤ 249+X₆ ∧ X₁₁ ≤ 247+X₂ ∧ X₁₁ ≤ 247+X₃ ∧ X₁₁ ≤ 247+X₄ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₂+X₈ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₃+X₈ ≤ 4 ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₄ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ X₆ ≤ 2+X₈ ∧ X₆+X₈ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2+X₆ ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₃+X₇ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 2 ≤ X₆+X₈ ∧ 2+X₈ ≤ X₆ ∧ 3 ≤ X₂+X₃ ∧ 4+X₁₁ ≤ X₀ ∧ 4 ≤ X₂ ∧ 4 ≤ X₂+X₇ ∧ 4+X₇ ≤ X₂ ∧ 4 ≤ X₂+X₈ ∧ 4+X₈ ≤ X₂ ∧ 4 ≤ X₃ ∧ 4 ≤ X₃+X₇ ∧ 4+X₇ ≤ X₃ ∧ 4 ≤ X₃+X₈ ∧ 4+X₈ ≤ X₃ ∧ 4 ≤ X₄ ∧ 4 ≤ X₄+X₇ ∧ 4+X₇ ≤ X₄ ∧ 4 ≤ X₄+X₈ ∧ 4+X₈ ≤ X₄ ∧ 6 ≤ X₂+X₆ ∧ 6 ≤ X₃+X₆ ∧ 6 ≤ X₄+X₆ ∧ 8 ≤ X₂+X₃ ∧ 8 ≤ X₂+X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₇ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₈ ∧ X₇+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₈ ≤ 0 of depth 1:

new bound:

4⋅X₁₁+1037 {O(n)}

• eval_Loopus2011_ex2_0_v4: [1017+X₄-4⋅X₀]
• eval_Loopus2011_ex2_1_v4: [1017+X₃-4⋅X₀]
• eval_Loopus2011_ex2_bb1_in_v3: [1017+X₄-4⋅X₀]
• eval_Loopus2011_ex2_bb2_in_v4: [1017+X₃-4⋅X₀]
• eval_Loopus2011_ex2_bb4_in_v3: [1021-4⋅X₀]
• eval_Loopus2011_ex2_bb5_in_v3: [1020-4⋅X₀]
• eval_Loopus2011_ex2_bb7_in_v1: [510⋅X₆-4⋅X₀]

MPRF for transition t₃₃₈: eval_Loopus2011_ex2_bb5_in_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → eval_Loopus2011_ex2_bb7_in_v1(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₇, X₉, X₁₀, X₁₁) :|: 2 ≤ X₆ ∧ X₀+X₁₁ ≤ 506 ∧ X₀+X₂ ≤ 259 ∧ X₀+X₃ ≤ 259 ∧ X₀+X₄ ≤ 259 ∧ X₀+X₆ ≤ 257 ∧ X₀ ≤ 255 ∧ X₀ ≤ 255+X₇ ∧ X₀+X₇ ≤ 255 ∧ X₀ ≤ 255+X₈ ∧ X₀+X₈ ≤ 255 ∧ X₂+X₁₁ ≤ 255 ∧ X₃+X₁₁ ≤ 255 ∧ X₄+X₁₁ ≤ 255 ∧ X₀ ≤ 253+X₆ ∧ X₆+X₁₁ ≤ 253 ∧ X₀ ≤ 251+X₂ ∧ X₀ ≤ 251+X₃ ∧ X₀ ≤ 251+X₄ ∧ X₁₁ ≤ 251+X₇ ∧ X₇+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251+X₈ ∧ X₈+X₁₁ ≤ 251 ∧ X₁₁ ≤ 251 ∧ X₁₁ ≤ 249+X₆ ∧ X₁₁ ≤ 247+X₂ ∧ X₁₁ ≤ 247+X₃ ∧ X₁₁ ≤ 247+X₄ ∧ X₂+X₃ ≤ 8 ∧ X₂+X₄ ≤ 8 ∧ X₃+X₄ ≤ 8 ∧ X₂+X₆ ≤ 6 ∧ X₃+X₆ ≤ 6 ∧ X₄+X₆ ≤ 6 ∧ X₂ ≤ 4 ∧ X₂ ≤ 4+X₆ ∧ X₂ ≤ 4+X₇ ∧ X₂+X₇ ≤ 4 ∧ X₂ ≤ 4+X₈ ∧ X₂+X₈ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₆ ∧ X₃ ≤ 4+X₇ ∧ X₃+X₇ ≤ 4 ∧ X₃ ≤ 4+X₈ ∧ X₃+X₈ ≤ 4 ∧ X₄ ≤ 4 ∧ X₄ ≤ 4+X₇ ∧ X₄+X₇ ≤ 4 ∧ X₄ ≤ 4+X₈ ∧ X₄+X₈ ≤ 4 ∧ X₆+X₇ ≤ 3 ∧ X₂ ≤ 2+X₃ ∧ X₂ ≤ 2+X₆ ∧ X₃ ≤ 2+X₆ ∧ X₄ ≤ 2+X₆ ∧ X₆ ≤ 2 ∧ X₆ ≤ 2+X₇ ∧ X₆+X₇ ≤ 2 ∧ X₆ ≤ 2+X₈ ∧ X₆+X₈ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₇ ≤ 1 ∧ 1+X₁₀ ≤ X₁ ∧ 1+X₇ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₆ ∧ 2+X₆ ≤ X₂ ∧ 2 ≤ X₂+X₇ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₃+X₇ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₆+X₇ ∧ 2+X₇ ≤ X₆ ∧ 2 ≤ X₆+X₈ ∧ 2+X₈ ≤ X₆ ∧ 3 ≤ X₂+X₃ ∧ 4+X₁₁ ≤ X₀ ∧ 4 ≤ X₂ ∧ 4 ≤ X₂+X₇ ∧ 4+X₇ ≤ X₂ ∧ 4 ≤ X₂+X₈ ∧ 4+X₈ ≤ X₂ ∧ 4 ≤ X₃ ∧ 4 ≤ X₃+X₇ ∧ 4+X₇ ≤ X₃ ∧ 4 ≤ X₃+X₈ ∧ 4+X₈ ≤ X₃ ∧ 4 ≤ X₄ ∧ 4 ≤ X₄+X₇ ∧ 4+X₇ ≤ X₄ ∧ 4 ≤ X₄+X₈ ∧ 4+X₈ ≤ X₄ ∧ 6 ≤ X₂+X₆ ∧ 6 ≤ X₃+X₆ ∧ 6 ≤ X₄+X₆ ∧ 8 ≤ X₂+X₃ ∧ 8 ≤ X₂+X₄ ∧ 8 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₇ ≤ X₃ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₇+X₈ ∧ X₈ ≤ X₇ ∧ X₇ ≤ 0 ∧ X₇ ≤ X₈ ∧ X₇+X₈ ≤ 0 ∧ 0 ≤ X₈ ∧ X₈ ≤ 0 of depth 1:

new bound:

X₁₁+263 {O(n)}

• eval_Loopus2011_ex2_0_v4: [62⋅X₂+X₄+2⋅X₆-X₀]
• eval_Loopus2011_ex2_1_v4: [X₄+126⋅X₆-X₀]
• eval_Loopus2011_ex2_bb1_in_v3: [255+X₄-X₀]
• eval_Loopus2011_ex2_bb2_in_v4: [63⋅X₃+X₄-X₀]
• eval_Loopus2011_ex2_bb4_in_v3: [X₃+126⋅X₆-X₀]
• eval_Loopus2011_ex2_bb5_in_v3: [256-X₀]
• eval_Loopus2011_ex2_bb7_in_v1: [255-X₀]