KoAT2 Proof Output

Initial Problem

Preprocessing

Found invariant X₂ ≤ 15 ∧ 1+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 46 ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ X₁ ≤ 31 ∧ 16 ≤ X₁ for location eval_inflate_stored_bb5_in

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 17 ≤ X₂+X₉ ∧ 17 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 16 ≤ X₂+X₆ ∧ 16 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ X₅ ≤ 0 ∧ 16+X₅ ≤ X₂ ∧ 16+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 16 ≤ X₂+X₅ ∧ 16 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₃ ≤ X₄ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 17 ≤ X₀+X₂ ∧ 16 ≤ X₁ ∧ 17 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_inflate_stored_bb9_in

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 17 ≤ X₂+X₉ ∧ 17 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ 1+X₄ ≤ X₈ ∧ 1+X₃ ≤ X₈ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 16 ≤ X₂+X₆ ∧ 16 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ X₅ ≤ 0 ∧ 16+X₅ ≤ X₂ ∧ 16+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 16 ≤ X₂+X₅ ∧ 16 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₃ ≤ X₄ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 17 ≤ X₀+X₂ ∧ 16 ≤ X₁ ∧ 17 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_inflate_stored_bb10_in

Found invariant X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_8

Found invariant X₁ ≤ 15 for location eval_inflate_stored_bb2_in

Found invariant 16 ≤ X₁ for location eval_inflate_stored_bb3_in

Found invariant X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_9

Found invariant X₂ ≤ 7+X₁ ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_bb4_in

Found invariant 1 ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 17 ≤ X₂+X₉ ∧ 17 ≤ X₁+X₉ ∧ 2 ≤ X₀+X₉ ∧ X₀ ≤ X₉ ∧ X₈ ≤ X₄ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 16 ≤ X₂+X₆ ∧ 16 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ X₅ ≤ 0 ∧ 16+X₅ ≤ X₂ ∧ 16+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 16 ≤ X₂+X₅ ∧ 16 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₃ ≤ X₄ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 17 ≤ X₀+X₂ ∧ 16 ≤ X₁ ∧ 17 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_inflate_stored_bb11_in

Found invariant X₀ ≤ X₉ ∧ X₅ ≤ 0 ∧ 16+X₅ ≤ X₂ ∧ 16+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 16 ≤ X₂+X₅ ∧ 16 ≤ X₁+X₅ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_bb8_in

Found invariant X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_bb12_in

Found invariant X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_bb6_in

Found invariant X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_stop

Found invariant X₅ ≤ 0 ∧ 16+X₅ ≤ X₂ ∧ 16+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 16 ≤ X₂+X₅ ∧ 16 ≤ X₁+X₅ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 16 ≤ X₁ for location eval_inflate_stored_bb7_in

Problem after Preprocessing

Start: eval_inflate_stored_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: nondef.0
Locations: eval_inflate_stored_8, eval_inflate_stored_9, eval_inflate_stored_bb0_in, eval_inflate_stored_bb10_in, eval_inflate_stored_bb11_in, eval_inflate_stored_bb12_in, eval_inflate_stored_bb1_in, eval_inflate_stored_bb2_in, eval_inflate_stored_bb3_in, eval_inflate_stored_bb4_in, eval_inflate_stored_bb5_in, eval_inflate_stored_bb6_in, eval_inflate_stored_bb7_in, eval_inflate_stored_bb8_in, eval_inflate_stored_bb9_in, eval_inflate_stored_start, eval_inflate_stored_stop
Transitions:
t₁₁: eval_inflate_stored_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_9(X₀, X₁, X₂, X₃, X₄, nondef.0, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂
t₁₂: eval_inflate_stored_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₅ ≤ 0 ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂
t₁₃: eval_inflate_stored_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₅ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂
t₁₄: eval_inflate_stored_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂
t₁: eval_inflate_stored_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb1_in(X₀, X₇-X₉, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₂₀: eval_inflate_stored_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, 8+X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₃ ≤ X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₂₁: eval_inflate_stored_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb8_in(X₆, X₁, X₂, X₄-8, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ X₈ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₂₂: eval_inflate_stored_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂
t₂: eval_inflate_stored_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 15
t₃: eval_inflate_stored_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 16 ≤ X₁
t₄: eval_inflate_stored_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb1_in(X₀, 8+X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 15
t₅: eval_inflate_stored_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb4_in(X₀, X₁, X₁-16, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 16 ≤ X₁
t₆: eval_inflate_stored_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ ≤ 15 ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₇: eval_inflate_stored_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 16 ≤ X₂ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₈: eval_inflate_stored_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb4_in(X₀, X₁, 8+X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁+X₂ ≤ 46 ∧ X₁ ≤ 31 ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 15 ∧ 1+X₂ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₉: eval_inflate_stored_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₂ ∧ 32 ≤ X₁+X₂
t₁₅: eval_inflate_stored_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb8_in(X₉, X₁, X₂, X₂-16, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₁₇: eval_inflate_stored_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb12_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₀ ≤ 0 ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₁₆: eval_inflate_stored_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, X₃, X₅, X₀-1, X₇, X₈, X₉) :|: 1 ≤ X₀ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0
t₁₈: eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₄ ≤ X₈ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₉: eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₈ ≤ X₄ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₀: eval_inflate_stored_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

MPRF for transition t₂: eval_inflate_stored_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 15 of depth 1:

new bound:

X₇+X₉+16 {O(n)}

MPRF:

• eval_inflate_stored_bb1_in: [16-X₁]
• eval_inflate_stored_bb2_in: [15-X₁]

MPRF for transition t₄: eval_inflate_stored_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb1_in(X₀, 8+X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 15 of depth 1:

new bound:

X₇+X₉+23 {O(n)}

MPRF:

• eval_inflate_stored_bb1_in: [23-X₁]
• eval_inflate_stored_bb2_in: [16-X₁]

MPRF for transition t₆: eval_inflate_stored_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₂ ≤ 15 ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 0 ≤ X₂ of depth 1:

new bound:

10⋅X₇+10⋅X₉+152 {O(n)}

MPRF:

• eval_inflate_stored_bb4_in: [16-X₂]
• eval_inflate_stored_bb5_in: [8-X₂]

MPRF for transition t₈: eval_inflate_stored_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb4_in(X₀, X₁, 8+X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁+X₂ ≤ 46 ∧ X₁ ≤ 31 ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 15 ∧ 1+X₂ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 0 ≤ X₂ of depth 1:

new bound:

20⋅X₇+20⋅X₉+303 {O(n)}

MPRF:

• eval_inflate_stored_bb4_in: [31-2⋅X₂]
• eval_inflate_stored_bb5_in: [16-X₂]

MPRF for transition t₁₆: eval_inflate_stored_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, X₃, X₅, X₀-1, X₇, X₈, X₉) :|: 1 ≤ X₀ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0 of depth 1:

new bound:

4⋅X₉ {O(n)}

MPRF:

• eval_inflate_stored_bb10_in: [X₆]
• eval_inflate_stored_bb11_in: [X₀-1]
• eval_inflate_stored_bb8_in: [X₀]
• eval_inflate_stored_bb9_in: [X₀-1]

MPRF for transition t₁₈: eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₄ ≤ X₈ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:

new bound:

122⋅X₉+4⋅X₈+90⋅X₇+1631 {O(n)}

MPRF:

• eval_inflate_stored_bb10_in: [8⋅X₀+8⋅X₁+X₈-137-X₄]
• eval_inflate_stored_bb11_in: [8⋅X₀+8⋅X₁+X₈-136-X₄]
• eval_inflate_stored_bb8_in: [8⋅X₀+8⋅X₁+X₈-136-X₃]
• eval_inflate_stored_bb9_in: [8⋅X₀+8⋅X₁+X₈-136-X₄]

MPRF for transition t₁₉: eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₈ ≤ X₄ ∧ X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:

new bound:

4⋅X₉ {O(n)}

MPRF:

• eval_inflate_stored_bb10_in: [X₀]
• eval_inflate_stored_bb11_in: [X₀-1]
• eval_inflate_stored_bb8_in: [X₀]
• eval_inflate_stored_bb9_in: [X₀]

MPRF for transition t₂₀: eval_inflate_stored_bb10_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb9_in(X₀, X₁, X₂, X₃, 8+X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₃ ≤ X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:

new bound:

10⋅X₇+4⋅X₈+42⋅X₉+167 {O(n)}

MPRF:

• eval_inflate_stored_bb10_in: [8⋅X₆+X₈-X₄]
• eval_inflate_stored_bb11_in: [8⋅X₆+X₈-X₄]
• eval_inflate_stored_bb8_in: [8⋅X₀+X₈-8-X₃]
• eval_inflate_stored_bb9_in: [8⋅X₀+X₈-8-X₄]

MPRF for transition t₂₁: eval_inflate_stored_bb11_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_inflate_stored_bb8_in(X₆, X₁, X₂, X₄-8, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 16+X₂ ∧ X₂ ≤ 7+X₁ ∧ X₀ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₅+X₉ ∧ 1+X₅ ≤ X₉ ∧ 1 ≤ X₆+X₉ ∧ 1+X₆ ≤ X₉ ∧ 1 ≤ X₉ ∧ 2 ≤ X₀+X₉ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₅ ∧ 16+X₅ ≤ X₁ ∧ 16 ≤ X₁+X₆ ∧ 16 ≤ X₂ ∧ 16 ≤ X₂+X₅ ∧ 16+X₅ ≤ X₂ ∧ 16 ≤ X₂+X₆ ∧ 17 ≤ X₀+X₁ ∧ 17 ≤ X₀+X₂ ∧ 17 ≤ X₁+X₉ ∧ 17 ≤ X₂+X₉ ∧ 32 ≤ X₁+X₂ ∧ X₀ ≤ X₉ ∧ X₃ ≤ X₄ ∧ X₈ ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:

new bound:

4⋅X₉ {O(n)}

MPRF:

• eval_inflate_stored_bb10_in: [X₀]
• eval_inflate_stored_bb11_in: [1+X₆]
• eval_inflate_stored_bb8_in: [X₀]
• eval_inflate_stored_bb9_in: [X₀]

All Bounds

Timebounds

Overall timebound:132⋅X₇+208⋅X₉+8⋅X₈+2305 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₇+X₉+16 {O(n)}
t₃: 1 {O(1)}
t₄: X₇+X₉+23 {O(n)}
t₅: 1 {O(1)}
t₆: 10⋅X₇+10⋅X₉+152 {O(n)}
t₇: 1 {O(1)}
t₈: 20⋅X₇+20⋅X₉+303 {O(n)}
t₉: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 4⋅X₉ {O(n)}
t₁₇: 1 {O(1)}
t₁₈: 122⋅X₉+4⋅X₈+90⋅X₇+1631 {O(n)}
t₁₉: 4⋅X₉ {O(n)}
t₂₀: 10⋅X₇+4⋅X₈+42⋅X₉+167 {O(n)}
t₂₁: 4⋅X₉ {O(n)}
t₂₂: 1 {O(1)}

Costbounds

Overall costbound: 132⋅X₇+208⋅X₉+8⋅X₈+2305 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₇+X₉+16 {O(n)}
t₃: 1 {O(1)}
t₄: X₇+X₉+23 {O(n)}
t₅: 1 {O(1)}
t₆: 10⋅X₇+10⋅X₉+152 {O(n)}
t₇: 1 {O(1)}
t₈: 20⋅X₇+20⋅X₉+303 {O(n)}
t₉: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 4⋅X₉ {O(n)}
t₁₇: 1 {O(1)}
t₁₈: 122⋅X₉+4⋅X₈+90⋅X₇+1631 {O(n)}
t₁₉: 4⋅X₉ {O(n)}
t₂₀: 10⋅X₇+4⋅X₈+42⋅X₉+167 {O(n)}
t₂₁: 4⋅X₉ {O(n)}
t₂₂: 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: X₀ {O(n)}
t₁, X₁: X₇+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: X₀ {O(n)}
t₂, X₁: 9⋅X₇+9⋅X₉+136 {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₂, X₉: X₉ {O(n)}
t₃, X₀: 2⋅X₀ {O(n)}
t₃, X₁: 10⋅X₇+10⋅X₉+136 {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₃, X₄: 2⋅X₄ {O(n)}
t₃, X₅: 2⋅X₅ {O(n)}
t₃, X₆: 2⋅X₆ {O(n)}
t₃, X₇: 2⋅X₇ {O(n)}
t₃, X₈: 2⋅X₈ {O(n)}
t₃, X₉: 2⋅X₉ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: 9⋅X₇+9⋅X₉+136 {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}
t₄, X₈: X₈ {O(n)}
t₄, X₉: X₉ {O(n)}
t₅, X₀: 2⋅X₀ {O(n)}
t₅, X₁: 10⋅X₇+10⋅X₉+136 {O(n)}
t₅, X₂: 10⋅X₇+10⋅X₉+136 {O(n)}
t₅, X₃: 2⋅X₃ {O(n)}
t₅, X₄: 2⋅X₄ {O(n)}
t₅, X₅: 2⋅X₅ {O(n)}
t₅, X₆: 2⋅X₆ {O(n)}
t₅, X₇: 2⋅X₇ {O(n)}
t₅, X₈: 2⋅X₈ {O(n)}
t₅, X₉: 2⋅X₉ {O(n)}
t₆, X₀: 2⋅X₀ {O(n)}
t₆, X₁: 31 {O(1)}
t₆, X₂: 15 {O(1)}
t₆, X₃: 2⋅X₃ {O(n)}
t₆, X₄: 2⋅X₄ {O(n)}
t₆, X₅: 2⋅X₅ {O(n)}
t₆, X₆: 2⋅X₆ {O(n)}
t₆, X₇: 2⋅X₇ {O(n)}
t₆, X₈: 2⋅X₈ {O(n)}
t₆, X₉: 2⋅X₉ {O(n)}
t₇, X₀: 4⋅X₀ {O(n)}
t₇, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₇, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₇, X₃: 4⋅X₃ {O(n)}
t₇, X₄: 4⋅X₄ {O(n)}
t₇, X₅: 4⋅X₅ {O(n)}
t₇, X₆: 4⋅X₆ {O(n)}
t₇, X₇: 4⋅X₇ {O(n)}
t₇, X₈: 4⋅X₈ {O(n)}
t₇, X₉: 4⋅X₉ {O(n)}
t₈, X₀: 2⋅X₀ {O(n)}
t₈, X₁: 31 {O(1)}
t₈, X₂: 23 {O(1)}
t₈, X₃: 2⋅X₃ {O(n)}
t₈, X₄: 2⋅X₄ {O(n)}
t₈, X₅: 2⋅X₅ {O(n)}
t₈, X₆: 2⋅X₆ {O(n)}
t₈, X₇: 2⋅X₇ {O(n)}
t₈, X₈: 2⋅X₈ {O(n)}
t₈, X₉: 2⋅X₉ {O(n)}
t₉, X₀: 4⋅X₀ {O(n)}
t₉, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₉, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₉, X₃: 4⋅X₃ {O(n)}
t₉, X₄: 4⋅X₄ {O(n)}
t₉, X₅: 4⋅X₅ {O(n)}
t₉, X₆: 4⋅X₆ {O(n)}
t₉, X₇: 4⋅X₇ {O(n)}
t₉, X₈: 4⋅X₈ {O(n)}
t₉, X₉: 4⋅X₉ {O(n)}
t₁₁, X₀: 4⋅X₀ {O(n)}
t₁₁, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₁, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₁, X₃: 4⋅X₃ {O(n)}
t₁₁, X₄: 4⋅X₄ {O(n)}
t₁₁, X₆: 4⋅X₆ {O(n)}
t₁₁, X₇: 4⋅X₇ {O(n)}
t₁₁, X₈: 4⋅X₈ {O(n)}
t₁₁, X₉: 4⋅X₉ {O(n)}
t₁₂, X₀: 4⋅X₀ {O(n)}
t₁₂, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₂, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₂, X₃: 4⋅X₃ {O(n)}
t₁₂, X₄: 4⋅X₄ {O(n)}
t₁₂, X₆: 4⋅X₆ {O(n)}
t₁₂, X₇: 4⋅X₇ {O(n)}
t₁₂, X₈: 4⋅X₈ {O(n)}
t₁₂, X₉: 4⋅X₉ {O(n)}
t₁₃, X₀: 4⋅X₀ {O(n)}
t₁₃, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₃, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₃, X₃: 4⋅X₃ {O(n)}
t₁₃, X₄: 4⋅X₄ {O(n)}
t₁₃, X₆: 4⋅X₆ {O(n)}
t₁₃, X₇: 4⋅X₇ {O(n)}
t₁₃, X₈: 4⋅X₈ {O(n)}
t₁₃, X₉: 4⋅X₉ {O(n)}
t₁₄, X₀: 4⋅X₀ {O(n)}
t₁₄, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₄, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₄, X₃: 4⋅X₃ {O(n)}
t₁₄, X₄: 4⋅X₄ {O(n)}
t₁₄, X₅: 0 {O(1)}
t₁₄, X₆: 4⋅X₆ {O(n)}
t₁₄, X₇: 4⋅X₇ {O(n)}
t₁₄, X₈: 4⋅X₈ {O(n)}
t₁₄, X₉: 4⋅X₉ {O(n)}
t₁₅, X₀: 4⋅X₉ {O(n)}
t₁₅, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₅, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₅, X₃: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₅, X₄: 4⋅X₄ {O(n)}
t₁₅, X₅: 0 {O(1)}
t₁₅, X₆: 4⋅X₆ {O(n)}
t₁₅, X₇: 4⋅X₇ {O(n)}
t₁₅, X₈: 4⋅X₈ {O(n)}
t₁₅, X₉: 4⋅X₉ {O(n)}
t₁₆, X₀: 4⋅X₉ {O(n)}
t₁₆, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₆, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₆, X₃: 100⋅X₇+32⋅X₈+388⋅X₉+1654 {O(n)}
t₁₆, X₄: 32⋅X₈+378⋅X₉+90⋅X₇+1495 {O(n)}
t₁₆, X₅: 0 {O(1)}
t₁₆, X₆: 8⋅X₉ {O(n)}
t₁₆, X₇: 4⋅X₇ {O(n)}
t₁₆, X₈: 4⋅X₈ {O(n)}
t₁₆, X₉: 4⋅X₉ {O(n)}
t₁₇, X₀: 8⋅X₉ {O(n)}
t₁₇, X₁: 20⋅X₇+20⋅X₉+334 {O(n)}
t₁₇, X₂: 20⋅X₇+20⋅X₉+318 {O(n)}
t₁₇, X₃: 100⋅X₇+32⋅X₈+388⋅X₉+1654 {O(n)}
t₁₇, X₄: 32⋅X₈+378⋅X₉+4⋅X₄+90⋅X₇+1495 {O(n)}
t₁₇, X₅: 0 {O(1)}
t₁₇, X₆: 16⋅X₉+4⋅X₆ {O(n)}
t₁₇, X₇: 8⋅X₇ {O(n)}
t₁₇, X₈: 8⋅X₈ {O(n)}
t₁₇, X₉: 8⋅X₉ {O(n)}
t₁₈, X₀: 4⋅X₉ {O(n)}
t₁₈, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₈, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₈, X₃: 100⋅X₇+32⋅X₈+388⋅X₉+1654 {O(n)}
t₁₈, X₄: 32⋅X₈+378⋅X₉+90⋅X₇+1495 {O(n)}
t₁₈, X₅: 0 {O(1)}
t₁₈, X₆: 8⋅X₉ {O(n)}
t₁₈, X₇: 4⋅X₇ {O(n)}
t₁₈, X₈: 4⋅X₈ {O(n)}
t₁₈, X₉: 4⋅X₉ {O(n)}
t₁₉, X₀: 4⋅X₉ {O(n)}
t₁₉, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₁₉, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₁₉, X₃: 200⋅X₇+64⋅X₈+776⋅X₉+3308 {O(n)}
t₁₉, X₄: 32⋅X₈+378⋅X₉+90⋅X₇+1495 {O(n)}
t₁₉, X₅: 0 {O(1)}
t₁₉, X₆: 16⋅X₉ {O(n)}
t₁₉, X₇: 4⋅X₇ {O(n)}
t₁₉, X₈: 4⋅X₈ {O(n)}
t₁₉, X₉: 4⋅X₉ {O(n)}
t₂₀, X₀: 4⋅X₉ {O(n)}
t₂₀, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₂₀, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₂₀, X₃: 100⋅X₇+32⋅X₈+388⋅X₉+1654 {O(n)}
t₂₀, X₄: 32⋅X₈+378⋅X₉+90⋅X₇+1495 {O(n)}
t₂₀, X₅: 0 {O(1)}
t₂₀, X₆: 8⋅X₉ {O(n)}
t₂₀, X₇: 4⋅X₇ {O(n)}
t₂₀, X₈: 4⋅X₈ {O(n)}
t₂₀, X₉: 4⋅X₉ {O(n)}
t₂₁, X₀: 4⋅X₉ {O(n)}
t₂₁, X₁: 10⋅X₇+10⋅X₉+167 {O(n)}
t₂₁, X₂: 10⋅X₇+10⋅X₉+159 {O(n)}
t₂₁, X₃: 32⋅X₈+378⋅X₉+90⋅X₇+1495 {O(n)}
t₂₁, X₄: 32⋅X₈+378⋅X₉+90⋅X₇+1495 {O(n)}
t₂₁, X₅: 0 {O(1)}
t₂₁, X₆: 16⋅X₉ {O(n)}
t₂₁, X₇: 4⋅X₇ {O(n)}
t₂₁, X₈: 4⋅X₈ {O(n)}
t₂₁, X₉: 4⋅X₉ {O(n)}
t₂₂, X₀: 8⋅X₀+8⋅X₉ {O(n)}
t₂₂, X₁: 40⋅X₇+40⋅X₉+668 {O(n)}
t₂₂, X₂: 40⋅X₇+40⋅X₉+636 {O(n)}
t₂₂, X₃: 100⋅X₇+32⋅X₈+388⋅X₉+8⋅X₃+1654 {O(n)}
t₂₂, X₄: 12⋅X₄+32⋅X₈+378⋅X₉+90⋅X₇+1495 {O(n)}
t₂₂, X₆: 12⋅X₆+16⋅X₉ {O(n)}
t₂₂, X₇: 16⋅X₇ {O(n)}
t₂₂, X₈: 16⋅X₈ {O(n)}
t₂₂, X₉: 16⋅X₉ {O(n)}