KoAT2 Proof Output

Initial Problem

Preprocessing

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_bb5_in

Found invariant 1+X₅ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 3+X₄ ≤ X₅ ∧ 9 ≤ X₃+X₅ ∧ 5 ≤ X₂+X₅ ∧ 3+X₂ ≤ X₅ ∧ 6 ≤ X₀+X₅ ∧ 2+X₀ ≤ X₅ ∧ 4+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ 5 ≤ X₃ ∧ 6 ≤ X₂+X₃ ∧ 4+X₂ ≤ X₃ ∧ 7 ≤ X₀+X₃ ∧ 3+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_11

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_6

Found invariant X₀ ≤ 1 for location eval_foo_stop

Found invariant 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_.critedge4_in

Found invariant 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_.critedge_in

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_bb4_in

Found invariant 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_bb3_in

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_5

Found invariant 2 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₀ ≤ 1 for location eval_foo_bb9_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: nondef.0, nondef.1
Locations: eval_foo_.critedge4_in, eval_foo_.critedge_in, eval_foo_11, eval_foo_12, eval_foo_5, eval_foo_6, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_bb7_in, eval_foo_bb8_in, eval_foo_bb9_in, eval_foo_start, eval_foo_stop
Transitions:
t₂₃: eval_foo_.critedge4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb3_in(X₀, X₁, X₄, X₅-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅
t₂₄: eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb1_in(X₂-1, 1+X₃-X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 3 ≤ X₀+X₂
t₁₈: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, nondef.1, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄
t₂₁: eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄
t₁₉: eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₆ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄
t₂₀: eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₆ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄
t₉: eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.0, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃
t₁₂: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃
t₁₀: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₇ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃
t₁₁: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₇ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb1_in(X₈, X₉, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 2 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb3_in(X₀, X₁, X₀-1, X₀+X₁-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 2 ≤ X₀
t₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 3 ≤ X₀+X₂
t₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 3 ≤ X₀+X₂
t₇: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃
t₁₃: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₂, X₃-1, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃
t₁₅: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₅ ≤ 2+X₄ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅
t₁₄: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 3+X₄ ≤ X₅ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅
t₁₆: eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄
t₂₂: eval_foo_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, 1+X₄, X₅-2, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄
t₂₅: eval_foo_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

MPRF for transition t₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 3 ≤ X₀+X₂ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [1+X₅]
• eval_foo_.critedge_in: [1+X₃]
• eval_foo_11: [X₃]
• eval_foo_12: [X₃]
• eval_foo_5: [1+X₃]
• eval_foo_6: [1+X₃]
• eval_foo_bb1_in: [1+X₀+X₁]
• eval_foo_bb2_in: [1+X₀+X₁]
• eval_foo_bb3_in: [2+X₃]
• eval_foo_bb4_in: [1+X₃]
• eval_foo_bb5_in: [1+X₃]
• eval_foo_bb6_in: [X₃]
• eval_foo_bb7_in: [X₃]
• eval_foo_bb8_in: [X₃]

MPRF for transition t₇: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ of depth 1:

new bound:

2⋅X₈+2⋅X₉ {O(n)}

MPRF:

• eval_foo_.critedge4_in: [2⋅X₅]
• eval_foo_.critedge_in: [2⋅X₃]
• eval_foo_11: [2⋅X₅]
• eval_foo_12: [2⋅X₅]
• eval_foo_5: [1+2⋅X₃]
• eval_foo_6: [1+2⋅X₃]
• eval_foo_bb1_in: [2⋅X₀+2⋅X₁]
• eval_foo_bb2_in: [2⋅X₀+2⋅X₁]
• eval_foo_bb3_in: [2+2⋅X₃]
• eval_foo_bb4_in: [2+2⋅X₃]
• eval_foo_bb5_in: [1+2⋅X₃]
• eval_foo_bb6_in: [2⋅X₅]
• eval_foo_bb7_in: [2⋅X₅]
• eval_foo_bb8_in: [2⋅X₅]

MPRF for transition t₉: eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.0, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ of depth 1:

new bound:

X₈+X₉+2 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₃-2]
• eval_foo_.critedge_in: [X₃-2]
• eval_foo_11: [X₃-2]
• eval_foo_12: [X₃-2]
• eval_foo_5: [X₃-1]
• eval_foo_6: [X₃-2]
• eval_foo_bb1_in: [X₀+X₁-2]
• eval_foo_bb2_in: [X₀+X₁-2]
• eval_foo_bb3_in: [X₃-1]
• eval_foo_bb4_in: [X₃-1]
• eval_foo_bb5_in: [X₃-2]
• eval_foo_bb6_in: [X₃-2]
• eval_foo_bb7_in: [X₃-2]
• eval_foo_bb8_in: [X₃-2]

MPRF for transition t₁₀: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₇ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ of depth 1:

new bound:

2⋅X₈+2⋅X₉+1 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [2+2⋅X₅]
• eval_foo_.critedge_in: [2⋅X₃]
• eval_foo_11: [2⋅X₃]
• eval_foo_12: [2⋅X₃]
• eval_foo_5: [1+2⋅X₃]
• eval_foo_6: [1+2⋅X₃]
• eval_foo_bb1_in: [2⋅X₀+2⋅X₁-1]
• eval_foo_bb2_in: [2⋅X₀+2⋅X₁-1]
• eval_foo_bb3_in: [1+2⋅X₃]
• eval_foo_bb4_in: [1+2⋅X₃]
• eval_foo_bb5_in: [2⋅X₃]
• eval_foo_bb6_in: [2⋅X₃]
• eval_foo_bb7_in: [2⋅X₃]
• eval_foo_bb8_in: [2⋅X₃]

MPRF for transition t₁₁: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₇ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₅-1]
• eval_foo_.critedge_in: [X₃-1]
• eval_foo_11: [X₃-2]
• eval_foo_12: [X₃-2]
• eval_foo_5: [X₃]
• eval_foo_6: [X₃-1]
• eval_foo_bb1_in: [X₀+X₁-1]
• eval_foo_bb2_in: [X₀+X₁-1]
• eval_foo_bb3_in: [X₃]
• eval_foo_bb4_in: [X₃]
• eval_foo_bb5_in: [X₃-2]
• eval_foo_bb6_in: [X₃-2]
• eval_foo_bb7_in: [X₃-2]
• eval_foo_bb8_in: [X₃-2]

MPRF for transition t₁₂: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 ≤ X₇ ∧ X₇ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ of depth 1:

new bound:

3⋅X₈+X₉+5 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [2⋅X₄+X₅-1]
• eval_foo_.critedge_in: [2⋅X₂+X₃-3]
• eval_foo_11: [2⋅X₄+X₅-1]
• eval_foo_12: [2⋅X₄+X₅-1]
• eval_foo_5: [2⋅X₂+X₃-2]
• eval_foo_6: [2⋅X₂+X₃-2]
• eval_foo_bb1_in: [3⋅X₀+X₁-5]
• eval_foo_bb2_in: [3⋅X₀+X₁-5]
• eval_foo_bb3_in: [2⋅X₂+X₃-2]
• eval_foo_bb4_in: [2⋅X₂+X₃-2]
• eval_foo_bb5_in: [2⋅X₂+X₃-2]
• eval_foo_bb6_in: [2⋅X₄+X₅-1]
• eval_foo_bb7_in: [2⋅X₄+X₅-1]
• eval_foo_bb8_in: [2⋅X₄+X₅-1]

MPRF for transition t₁₃: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₂, X₃-1, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ of depth 1:

new bound:

2⋅X₈+2⋅X₉ {O(n)}

MPRF:

• eval_foo_.critedge4_in: [2⋅X₃]
• eval_foo_.critedge_in: [2⋅X₃]
• eval_foo_11: [2⋅X₃]
• eval_foo_12: [2⋅X₃]
• eval_foo_5: [1+2⋅X₃]
• eval_foo_6: [1+2⋅X₃]
• eval_foo_bb1_in: [2⋅X₀+2⋅X₁]
• eval_foo_bb2_in: [2⋅X₀+2⋅X₁-1]
• eval_foo_bb3_in: [1+2⋅X₃]
• eval_foo_bb4_in: [1+2⋅X₃]
• eval_foo_bb5_in: [1+2⋅X₃]
• eval_foo_bb6_in: [2⋅X₃]
• eval_foo_bb7_in: [2⋅X₃]
• eval_foo_bb8_in: [2⋅X₃]

MPRF for transition t₁₄: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 3+X₄ ≤ X₅ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₅]
• eval_foo_.critedge_in: [X₃]
• eval_foo_11: [1+X₅]
• eval_foo_12: [1+X₅]
• eval_foo_5: [1+X₃]
• eval_foo_6: [1+X₃]
• eval_foo_bb1_in: [X₀+X₁]
• eval_foo_bb2_in: [X₀+X₁]
• eval_foo_bb3_in: [1+X₃]
• eval_foo_bb4_in: [1+X₃]
• eval_foo_bb5_in: [1+X₃]
• eval_foo_bb6_in: [2+X₅]
• eval_foo_bb7_in: [1+X₅]
• eval_foo_bb8_in: [1+X₅]

MPRF for transition t₁₅: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₅ ≤ 2+X₄ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₅-1]
• eval_foo_.critedge_in: [X₃]
• eval_foo_11: [X₅]
• eval_foo_12: [X₅]
• eval_foo_5: [X₃]
• eval_foo_6: [X₃]
• eval_foo_bb1_in: [X₀+X₁-1]
• eval_foo_bb2_in: [X₀+X₁-1]
• eval_foo_bb3_in: [X₃]
• eval_foo_bb4_in: [X₃]
• eval_foo_bb5_in: [X₃-1]
• eval_foo_bb6_in: [X₅]
• eval_foo_bb7_in: [X₅]
• eval_foo_bb8_in: [X₅]

MPRF for transition t₁₆: eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₅]
• eval_foo_.critedge_in: [X₃]
• eval_foo_11: [1+X₅]
• eval_foo_12: [X₅]
• eval_foo_5: [1+X₃]
• eval_foo_6: [1+X₃]
• eval_foo_bb1_in: [X₀+X₁]
• eval_foo_bb2_in: [X₀+X₁]
• eval_foo_bb3_in: [1+X₃]
• eval_foo_bb4_in: [1+X₃]
• eval_foo_bb5_in: [1+X₃]
• eval_foo_bb6_in: [2+X₅]
• eval_foo_bb7_in: [2+X₅]
• eval_foo_bb8_in: [X₅]

MPRF for transition t₁₈: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, nondef.1, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₅]
• eval_foo_.critedge_in: [X₃]
• eval_foo_11: [1+X₅]
• eval_foo_12: [X₅]
• eval_foo_5: [X₃]
• eval_foo_6: [X₃]
• eval_foo_bb1_in: [X₀+X₁-1]
• eval_foo_bb2_in: [X₀+X₁-1]
• eval_foo_bb3_in: [X₃]
• eval_foo_bb4_in: [X₃]
• eval_foo_bb5_in: [X₃]
• eval_foo_bb6_in: [1+X₅]
• eval_foo_bb7_in: [1+X₅]
• eval_foo_bb8_in: [X₅]

MPRF for transition t₁₉: eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₆ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄ of depth 1:

new bound:

2⋅X₈+2⋅X₉+11 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₃+X₅-8]
• eval_foo_.critedge_in: [2⋅X₃-9]
• eval_foo_11: [X₃+X₅-8]
• eval_foo_12: [X₃+X₅-8]
• eval_foo_5: [2⋅X₃-9]
• eval_foo_6: [2⋅X₃-9]
• eval_foo_bb1_in: [2⋅X₀+2⋅X₁-11]
• eval_foo_bb2_in: [2⋅X₀+2⋅X₁-11]
• eval_foo_bb3_in: [2⋅X₃-9]
• eval_foo_bb4_in: [2⋅X₃-9]
• eval_foo_bb5_in: [2⋅X₃-9]
• eval_foo_bb6_in: [X₃+X₅-8]
• eval_foo_bb7_in: [X₃+X₅-8]
• eval_foo_bb8_in: [X₃+X₅-10]

MPRF for transition t₂₀: eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₆ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₅]
• eval_foo_.critedge_in: [X₃]
• eval_foo_11: [2+X₅]
• eval_foo_12: [2+X₅]
• eval_foo_5: [1+X₃]
• eval_foo_6: [1+X₃]
• eval_foo_bb1_in: [X₀+X₁]
• eval_foo_bb2_in: [X₀+X₁]
• eval_foo_bb3_in: [1+X₃]
• eval_foo_bb4_in: [1+X₃]
• eval_foo_bb5_in: [1+X₃]
• eval_foo_bb6_in: [2+X₅]
• eval_foo_bb7_in: [2+X₅]
• eval_foo_bb8_in: [1+X₅]

MPRF for transition t₂₁: eval_foo_12(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₅]
• eval_foo_.critedge_in: [X₃]
• eval_foo_11: [1+X₅]
• eval_foo_12: [1+X₅]
• eval_foo_5: [1+X₃]
• eval_foo_6: [1+X₃]
• eval_foo_bb1_in: [X₀+X₁]
• eval_foo_bb2_in: [X₀+X₁]
• eval_foo_bb3_in: [1+X₃]
• eval_foo_bb4_in: [1+X₃]
• eval_foo_bb5_in: [1+X₃]
• eval_foo_bb6_in: [1+X₅]
• eval_foo_bb7_in: [1+X₅]
• eval_foo_bb8_in: [1+X₅]

MPRF for transition t₂₂: eval_foo_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, 1+X₄, X₅-2, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ 1 ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₅ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₅ ∧ 3+X₄ ≤ X₅ ∧ 4+X₂ ≤ X₃ ∧ 4+X₄ ≤ X₃ ∧ 4 ≤ X₅ ∧ 5 ≤ X₂+X₅ ∧ 5 ≤ X₃ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₀+X₅ ∧ 6 ≤ X₂+X₃ ∧ 6 ≤ X₃+X₄ ∧ 7 ≤ X₀+X₃ ∧ 9 ≤ X₃+X₅ ∧ X₂ ≤ X₄ of depth 1:

new bound:

2⋅X₈+2⋅X₉+5 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [2⋅X₅-7]
• eval_foo_.critedge_in: [2⋅X₃-5]
• eval_foo_11: [2⋅X₅-7]
• eval_foo_12: [2⋅X₅-7]
• eval_foo_5: [2⋅X₃-5]
• eval_foo_6: [2⋅X₃-5]
• eval_foo_bb1_in: [2⋅X₀+2⋅X₁-5]
• eval_foo_bb2_in: [2⋅X₀+2⋅X₁-5]
• eval_foo_bb3_in: [2⋅X₃-5]
• eval_foo_bb4_in: [2⋅X₃-5]
• eval_foo_bb5_in: [2⋅X₃-5]
• eval_foo_bb6_in: [2⋅X₅-4]
• eval_foo_bb7_in: [2⋅X₅-7]
• eval_foo_bb8_in: [2⋅X₅-7]

MPRF for transition t₂₃: eval_foo_.critedge4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb3_in(X₀, X₁, X₄, X₅-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₀ ≤ 1+X₅ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_foo_.critedge4_in: [X₃-1]
• eval_foo_.critedge_in: [X₃]
• eval_foo_11: [X₃]
• eval_foo_12: [X₃]
• eval_foo_5: [X₃]
• eval_foo_6: [X₃]
• eval_foo_bb1_in: [X₀+X₁-1]
• eval_foo_bb2_in: [X₀+X₁-1]
• eval_foo_bb3_in: [X₃]
• eval_foo_bb4_in: [X₃]
• eval_foo_bb5_in: [X₃]
• eval_foo_bb6_in: [X₃]
• eval_foo_bb7_in: [X₃]
• eval_foo_bb8_in: [X₃]

MPRF for transition t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 2 ≤ X₀ of depth 1:

new bound:

2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+11⋅X₈+9⋅X₉+8 {O(n^2)}

MPRF:

• eval_foo_.critedge4_in: [2⋅X₄+X₅-1-X₂-X₃]
• eval_foo_.critedge_in: [X₂-2]
• eval_foo_11: [2⋅X₄+X₅-1-X₂-X₃]
• eval_foo_12: [2⋅X₄+X₅-1-X₂-X₃]
• eval_foo_5: [X₂-2]
• eval_foo_6: [X₂-2]
• eval_foo_bb1_in: [X₀-1]
• eval_foo_bb2_in: [X₀-3]
• eval_foo_bb3_in: [X₂-2]
• eval_foo_bb4_in: [X₂-2]
• eval_foo_bb5_in: [X₂-2]
• eval_foo_bb6_in: [2⋅X₄+X₅-1-X₂-X₃]
• eval_foo_bb7_in: [2⋅X₄+X₅-1-X₂-X₃]
• eval_foo_bb8_in: [2⋅X₄+X₅-1-X₂-X₃]

MPRF for transition t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb3_in(X₀, X₁, X₀-1, X₀+X₁-1, X₄, X₅, X₆, X₇, X₈, X₉) :|: 2 ≤ X₀ of depth 1:

new bound:

2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+10⋅X₈+8⋅X₉+7 {O(n^2)}

MPRF:

• eval_foo_.critedge4_in: [X₂-1]
• eval_foo_.critedge_in: [X₂-2]
• eval_foo_11: [X₂-1]
• eval_foo_12: [X₂-1]
• eval_foo_5: [X₂-1]
• eval_foo_6: [X₂-1]
• eval_foo_bb1_in: [X₀-1]
• eval_foo_bb2_in: [X₀-1]
• eval_foo_bb3_in: [X₂-1]
• eval_foo_bb4_in: [X₂-1]
• eval_foo_bb5_in: [X₂-1]
• eval_foo_bb6_in: [X₂-1]
• eval_foo_bb7_in: [X₂-1]
• eval_foo_bb8_in: [X₂-1]

MPRF for transition t₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 3 ≤ X₀+X₂ of depth 1:

new bound:

2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+7⋅X₉+9⋅X₈+6 {O(n^2)}

MPRF:

• eval_foo_.critedge4_in: [0]
• eval_foo_.critedge_in: [X₂-1]
• eval_foo_11: [0]
• eval_foo_12: [0]
• eval_foo_5: [X₂]
• eval_foo_6: [X₂]
• eval_foo_bb1_in: [X₀-1]
• eval_foo_bb2_in: [X₀-1]
• eval_foo_bb3_in: [X₂]
• eval_foo_bb4_in: [X₂]
• eval_foo_bb5_in: [X₂]
• eval_foo_bb6_in: [0]
• eval_foo_bb7_in: [0]
• eval_foo_bb8_in: [0]

MPRF for transition t₂₄: eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_foo_bb1_in(X₂-1, 1+X₃-X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 1+X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀ ∧ 3 ≤ X₀+X₂ of depth 1:

new bound:

2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+7⋅X₉+9⋅X₈+6 {O(n^2)}

MPRF:

• eval_foo_.critedge4_in: [X₂]
• eval_foo_.critedge_in: [X₂]
• eval_foo_11: [X₂]
• eval_foo_12: [X₂]
• eval_foo_5: [X₂]
• eval_foo_6: [X₂]
• eval_foo_bb1_in: [X₀-1]
• eval_foo_bb2_in: [X₀-1]
• eval_foo_bb3_in: [X₂]
• eval_foo_bb4_in: [X₂]
• eval_foo_bb5_in: [X₂]
• eval_foo_bb6_in: [X₂]
• eval_foo_bb7_in: [X₂]
• eval_foo_bb8_in: [X₂]

Found invariant X₇ ≤ 0 ∧ 2+X₇ ≤ X₃ ∧ 1+X₇ ≤ X₂ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 0 ≤ X₀+X₇ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₃ ≤ X₂ ∧ X₃ ≤ 1+X₀ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 1+X₀ ∧ 0 ≤ X₀ for location eval_foo_bb1_in_v2

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_6

Found invariant X₀ ≤ 1 for location eval_foo_stop

Found invariant X₃ ≤ X₂ ∧ X₃ ≤ 1+X₀ ∧ 2+X₁ ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 3 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant X₉ ≤ X₁ ∧ X₁ ≤ X₉ ∧ X₈ ≤ X₀ ∧ X₀ ≤ X₈ for location eval_foo_bb1_in

Found invariant X₇ ≤ 0 ∧ 4+X₇ ≤ X₃ ∧ 3+X₇ ≤ X₂ ∧ 2+X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 4 ≤ X₃+X₇ ∧ 3 ≤ X₂+X₇ ∧ 2 ≤ X₀+X₇ ∧ 4 ≤ X₃ ∧ 7 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 6 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 3 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v1

Found invariant X₇ ≤ 0 ∧ 2+X₇ ≤ X₃ ∧ 1+X₇ ≤ X₂ ∧ 2+X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 2 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_.critedge_in

Found invariant X₉ ≤ X₁ ∧ X₁ ≤ X₉ ∧ X₈ ≤ X₀ ∧ 2 ≤ X₈ ∧ 4 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v3

Found invariant X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 1+X₁ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2+X₁ ≤ X₀ ∧ 2 ≤ X₀ for location eval_foo_.critedge_in_v1

Found invariant X₅ ≤ 1+X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ 1+X₂ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 2+X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_.critedge_in_v2

Found invariant X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ 2+X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_bb3_in

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_5

Found invariant X₀ ≤ 1 for location eval_foo_bb9_in

Found invariant 1+X₁ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 2 ≤ X₀ for location eval_foo_bb3_in_v1

All Bounds

Timebounds

Overall timebound:12⋅X₈⋅X₈+20⋅X₈⋅X₉+8⋅X₉⋅X₉+52⋅X₉+62⋅X₈+60 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+11⋅X₈+9⋅X₉+8 {O(n^2)}
t₃: 1 {O(1)}
t₄: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+10⋅X₈+8⋅X₉+7 {O(n^2)}
t₅: X₈+X₉+1 {O(n)}
t₆: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+7⋅X₉+9⋅X₈+6 {O(n^2)}
t₇: 2⋅X₈+2⋅X₉ {O(n)}
t₉: X₈+X₉+2 {O(n)}
t₁₀: 2⋅X₈+2⋅X₉+1 {O(n)}
t₁₁: X₈+X₉+1 {O(n)}
t₁₂: 3⋅X₈+X₉+5 {O(n)}
t₁₃: 2⋅X₈+2⋅X₉ {O(n)}
t₁₄: X₈+X₉ {O(n)}
t₁₅: X₈+X₉+1 {O(n)}
t₁₆: X₈+X₉ {O(n)}
t₁₈: X₈+X₉+1 {O(n)}
t₁₉: 2⋅X₈+2⋅X₉+11 {O(n)}
t₂₀: X₈+X₉ {O(n)}
t₂₁: X₈+X₉ {O(n)}
t₂₂: 2⋅X₈+2⋅X₉+5 {O(n)}
t₂₃: X₈+X₉+1 {O(n)}
t₂₄: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+7⋅X₉+9⋅X₈+6 {O(n^2)}
t₂₅: 1 {O(1)}

Costbounds

Overall costbound: 12⋅X₈⋅X₈+20⋅X₈⋅X₉+8⋅X₉⋅X₉+52⋅X₉+62⋅X₈+60 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+11⋅X₈+9⋅X₉+8 {O(n^2)}
t₃: 1 {O(1)}
t₄: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+10⋅X₈+8⋅X₉+7 {O(n^2)}
t₅: X₈+X₉+1 {O(n)}
t₆: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+7⋅X₉+9⋅X₈+6 {O(n^2)}
t₇: 2⋅X₈+2⋅X₉ {O(n)}
t₉: X₈+X₉+2 {O(n)}
t₁₀: 2⋅X₈+2⋅X₉+1 {O(n)}
t₁₁: X₈+X₉+1 {O(n)}
t₁₂: 3⋅X₈+X₉+5 {O(n)}
t₁₃: 2⋅X₈+2⋅X₉ {O(n)}
t₁₄: X₈+X₉ {O(n)}
t₁₅: X₈+X₉+1 {O(n)}
t₁₆: X₈+X₉ {O(n)}
t₁₈: X₈+X₉+1 {O(n)}
t₁₉: 2⋅X₈+2⋅X₉+11 {O(n)}
t₂₀: X₈+X₉ {O(n)}
t₂₁: X₈+X₉ {O(n)}
t₂₂: 2⋅X₈+2⋅X₉+5 {O(n)}
t₂₃: X₈+X₉+1 {O(n)}
t₂₄: 2⋅X₉⋅X₉+3⋅X₈⋅X₈+5⋅X₈⋅X₉+7⋅X₉+9⋅X₈+6 {O(n^2)}
t₂₅: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₀, X₈: X₈ {O(n)}
t₀, X₉: X₉ {O(n)}
t₁, X₀: X₈ {O(n)}
t₁, X₁: X₉ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₁, X₉: X₉ {O(n)}
t₂, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂, X₂: 4⋅X₉+6⋅X₈+X₂+10 {O(n)}
t₂, X₃: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+X₃+220 {O(n^3)}
t₂, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₂, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₂, X₈: X₈ {O(n)}
t₂, X₉: X₉ {O(n)}
t₃, X₀: 2⋅X₉+4⋅X₈+5 {O(n)}
t₃, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+156⋅X₉+206⋅X₈+110 {O(n^3)}
t₃, X₂: 4⋅X₉+6⋅X₈+X₂+10 {O(n)}
t₃, X₃: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+X₃+220 {O(n^3)}
t₃, X₄: 2⋅X₄+4⋅X₉+6⋅X₈+10 {O(n)}
t₃, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+2⋅X₅+930⋅X₉+660 {O(n^3)}
t₃, X₈: 2⋅X₈ {O(n)}
t₃, X₉: 2⋅X₉ {O(n)}
t₄, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₄, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₄, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₄, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₄, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₄, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₄, X₈: X₈ {O(n)}
t₄, X₉: X₉ {O(n)}
t₅, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₅, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₅, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₅, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₅, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₅, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₅, X₈: X₈ {O(n)}
t₅, X₉: X₉ {O(n)}
t₆, X₀: 4⋅X₉+6⋅X₈+10 {O(n)}
t₆, X₁: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₆, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₆, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₆, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₆, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₆, X₈: X₈ {O(n)}
t₆, X₉: X₉ {O(n)}
t₇, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₇, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₇, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₇, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₇, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₇, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₇, X₈: X₈ {O(n)}
t₇, X₉: X₉ {O(n)}
t₉, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₉, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₉, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₉, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₉, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₉, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₉, X₈: X₈ {O(n)}
t₉, X₉: X₉ {O(n)}
t₁₀, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₀, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₀, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₀, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₀, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₁₀, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₁₀, X₈: X₈ {O(n)}
t₁₀, X₉: X₉ {O(n)}
t₁₁, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₁, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₁, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₁, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₁, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₁₁, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₁₁, X₈: X₈ {O(n)}
t₁₁, X₉: X₉ {O(n)}
t₁₂, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₂, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₂, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₂, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₂, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₁₂, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₁₂, X₇: 0 {O(1)}
t₁₂, X₈: X₈ {O(n)}
t₁₂, X₉: X₉ {O(n)}
t₁₃, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₃, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₃, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₁₃, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₃, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₃, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₁₃, X₈: X₈ {O(n)}
t₁₃, X₉: X₉ {O(n)}
t₁₄, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₄, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₄, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₁₄, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₄, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₄, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₁₄, X₈: X₈ {O(n)}
t₁₄, X₉: X₉ {O(n)}
t₁₅, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₅, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₅, X₂: 12⋅X₈+8⋅X₉+20 {O(n)}
t₁₅, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₅, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₅, X₅: 108⋅X₈⋅X₈⋅X₈+192⋅X₈⋅X₉⋅X₉+252⋅X₈⋅X₈⋅X₉+48⋅X₉⋅X₉⋅X₉+296⋅X₉⋅X₉+516⋅X₈⋅X₈+788⋅X₈⋅X₉+620⋅X₉+824⋅X₈+440 {O(n^3)}
t₁₅, X₈: X₈ {O(n)}
t₁₅, X₉: X₉ {O(n)}
t₁₆, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₆, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₆, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₁₆, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₆, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₆, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₁₆, X₈: X₈ {O(n)}
t₁₆, X₉: X₉ {O(n)}
t₁₈, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₈, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₈, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₁₈, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₈, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₈, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₁₈, X₈: X₈ {O(n)}
t₁₈, X₉: X₉ {O(n)}
t₁₉, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₉, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₉, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₁₉, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₁₉, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₁₉, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₁₉, X₈: X₈ {O(n)}
t₁₉, X₉: X₉ {O(n)}
t₂₀, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₀, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₀, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₂₀, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₀, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₀, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₂₀, X₈: X₈ {O(n)}
t₂₀, X₉: X₉ {O(n)}
t₂₁, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₁, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₁, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₂₁, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₁, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₁, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₂₁, X₆: 0 {O(1)}
t₂₁, X₈: X₈ {O(n)}
t₂₁, X₉: X₉ {O(n)}
t₂₂, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₂, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₂, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₂₂, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₂, X₄: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₂, X₅: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₂₂, X₈: X₈ {O(n)}
t₂₂, X₉: X₉ {O(n)}
t₂₃, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₃, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₃, X₂: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₃, X₃: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₃, X₄: 4⋅X₉+6⋅X₈+10 {O(n)}
t₂₃, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+660 {O(n^3)}
t₂₃, X₈: X₈ {O(n)}
t₂₃, X₉: X₉ {O(n)}
t₂₄, X₀: 2⋅X₉+3⋅X₈+5 {O(n)}
t₂₄, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+155⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₄, X₂: 4⋅X₉+6⋅X₈+10 {O(n)}
t₂₄, X₃: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+220 {O(n^3)}
t₂₄, X₄: 4⋅X₉+6⋅X₈+X₄+10 {O(n)}
t₂₄, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+930⋅X₉+X₅+660 {O(n^3)}
t₂₄, X₈: X₈ {O(n)}
t₂₄, X₉: X₉ {O(n)}
t₂₅, X₀: 2⋅X₉+4⋅X₈+5 {O(n)}
t₂₅, X₁: 12⋅X₉⋅X₉⋅X₉+27⋅X₈⋅X₈⋅X₈+48⋅X₈⋅X₉⋅X₉+63⋅X₈⋅X₈⋅X₉+129⋅X₈⋅X₈+197⋅X₈⋅X₉+74⋅X₉⋅X₉+156⋅X₉+206⋅X₈+110 {O(n^3)}
t₂₅, X₂: 4⋅X₉+6⋅X₈+X₂+10 {O(n)}
t₂₅, X₃: 126⋅X₈⋅X₈⋅X₉+24⋅X₉⋅X₉⋅X₉+54⋅X₈⋅X₈⋅X₈+96⋅X₈⋅X₉⋅X₉+148⋅X₉⋅X₉+258⋅X₈⋅X₈+394⋅X₈⋅X₉+310⋅X₉+412⋅X₈+X₃+220 {O(n^3)}
t₂₅, X₄: 2⋅X₄+4⋅X₉+6⋅X₈+10 {O(n)}
t₂₅, X₅: 162⋅X₈⋅X₈⋅X₈+288⋅X₈⋅X₉⋅X₉+378⋅X₈⋅X₈⋅X₉+72⋅X₉⋅X₉⋅X₉+1182⋅X₈⋅X₉+444⋅X₉⋅X₉+774⋅X₈⋅X₈+1236⋅X₈+2⋅X₅+930⋅X₉+660 {O(n^3)}
t₂₅, X₈: 2⋅X₈ {O(n)}
t₂₅, X₉: 2⋅X₉ {O(n)}