Initial Problem

Start: eval_speed_pldi10_ex1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0
Locations: eval_speed_pldi10_ex1_2, eval_speed_pldi10_ex1_3, eval_speed_pldi10_ex1_bb0_in, eval_speed_pldi10_ex1_bb1_in, eval_speed_pldi10_ex1_bb2_in, eval_speed_pldi10_ex1_bb3_in, eval_speed_pldi10_ex1_bb4_in, eval_speed_pldi10_ex1_bb5_in, eval_speed_pldi10_ex1_bb6_in, eval_speed_pldi10_ex1_start, eval_speed_pldi10_ex1_stop
Transitions:
t₈: eval_speed_pldi10_ex1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_3(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆)
t₁₀: eval_speed_pldi10_ex1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₂, X₆) :|: X₃ ≤ 0
t₉: eval_speed_pldi10_ex1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃
t₁: eval_speed_pldi10_ex1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb1_in(X₆, X₁, X₂, X₃, 0, X₅, X₆)
t₂: eval_speed_pldi10_ex1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₀, X₂, X₃, X₄, X₄, X₆) :|: 1+X₄ ≤ X₀
t₃: eval_speed_pldi10_ex1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₄
t₄: eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb3_in(X₀, X₁, 1+X₅, X₃, X₄, X₅, X₆) :|: 2+X₅ ≤ X₁
t₅: eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb5_in(X₀, X₁, 1+X₅, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₅
t₆: eval_speed_pldi10_ex1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₁: eval_speed_pldi10_ex1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₁-1, X₂, X₃, X₄, X₂-1, X₆)
t₁₂: eval_speed_pldi10_ex1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb1_in(X₁, X₁, X₂, X₃, 1+X₄, X₅, X₆)
t₁₃: eval_speed_pldi10_ex1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_speed_pldi10_ex1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Found invariant X₀ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₀ ≤ X₄ for location eval_speed_pldi10_ex1_bb6_in

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_2

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_bb4_in

Found invariant X₀ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₀ ≤ X₄ for location eval_speed_pldi10_ex1_stop

Found invariant 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_speed_pldi10_ex1_bb2_in

Found invariant 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_speed_pldi10_ex1_bb5_in

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_3

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_bb3_in

Found invariant X₀ ≤ X₆ ∧ 0 ≤ X₄ for location eval_speed_pldi10_ex1_bb1_in

Problem after Preprocessing

Start: eval_speed_pldi10_ex1_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0
Locations: eval_speed_pldi10_ex1_2, eval_speed_pldi10_ex1_3, eval_speed_pldi10_ex1_bb0_in, eval_speed_pldi10_ex1_bb1_in, eval_speed_pldi10_ex1_bb2_in, eval_speed_pldi10_ex1_bb3_in, eval_speed_pldi10_ex1_bb4_in, eval_speed_pldi10_ex1_bb5_in, eval_speed_pldi10_ex1_bb6_in, eval_speed_pldi10_ex1_start, eval_speed_pldi10_ex1_stop
Transitions:
t₈: eval_speed_pldi10_ex1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_3(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆) :|: X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₁₀: eval_speed_pldi10_ex1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₂, X₆) :|: X₃ ≤ 0 ∧ X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₉: eval_speed_pldi10_ex1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₁: eval_speed_pldi10_ex1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb1_in(X₆, X₁, X₂, X₃, 0, X₅, X₆)
t₂: eval_speed_pldi10_ex1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₀, X₂, X₃, X₄, X₄, X₆) :|: 1+X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ 0 ≤ X₄
t₃: eval_speed_pldi10_ex1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₄ ∧ X₀ ≤ X₆ ∧ 0 ≤ X₄
t₄: eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb3_in(X₀, X₁, 1+X₅, X₃, X₄, X₅, X₆) :|: 2+X₅ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₅: eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb5_in(X₀, X₁, 1+X₅, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₆: eval_speed_pldi10_ex1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₁₁: eval_speed_pldi10_ex1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₁-1, X₂, X₃, X₄, X₂-1, X₆) :|: X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₁₂: eval_speed_pldi10_ex1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb1_in(X₁, X₁, X₂, X₃, 1+X₄, X₅, X₆) :|: X₁ ≤ 1+X₅ ∧ X₂ ≤ 1+X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅
t₁₃: eval_speed_pldi10_ex1_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₄ ∧ X₀ ≤ X₆ ∧ 0 ≤ X₄
t₀: eval_speed_pldi10_ex1_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

MPRF for transition t₂: eval_speed_pldi10_ex1_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₀, X₂, X₃, X₄, X₄, X₆) :|: 1+X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₆ {O(n)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₀-1-X₄]
• eval_speed_pldi10_ex1_3: [X₀-1-X₄]
• eval_speed_pldi10_ex1_bb1_in: [X₀-X₄]
• eval_speed_pldi10_ex1_bb2_in: [X₀-1-X₄]
• eval_speed_pldi10_ex1_bb3_in: [X₀-1-X₄]
• eval_speed_pldi10_ex1_bb4_in: [X₀-1-X₄]
• eval_speed_pldi10_ex1_bb5_in: [X₀-1-X₄]

MPRF for transition t₅: eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb5_in(X₀, X₁, 1+X₅, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₆ {O(n)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₁-X₄]
• eval_speed_pldi10_ex1_3: [X₁+X₂-1-X₄-X₅]
• eval_speed_pldi10_ex1_bb1_in: [X₀-X₄]
• eval_speed_pldi10_ex1_bb2_in: [X₁-X₄]
• eval_speed_pldi10_ex1_bb3_in: [X₁-X₄]
• eval_speed_pldi10_ex1_bb4_in: [X₁+X₂-1-X₄-X₅]
• eval_speed_pldi10_ex1_bb5_in: [X₁-1-X₄]

MPRF for transition t₉: eval_speed_pldi10_ex1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₆+1 {O(n)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₁-1]
• eval_speed_pldi10_ex1_3: [X₁-1]
• eval_speed_pldi10_ex1_bb1_in: [X₀-1]
• eval_speed_pldi10_ex1_bb2_in: [X₁-1]
• eval_speed_pldi10_ex1_bb3_in: [X₁-1]
• eval_speed_pldi10_ex1_bb4_in: [X₁-2]
• eval_speed_pldi10_ex1_bb5_in: [X₁-1]

MPRF for transition t₁₁: eval_speed_pldi10_ex1_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₁-1, X₂, X₃, X₄, X₂-1, X₆) :|: X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₃+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

2⋅X₆+3 {O(n)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₀+X₁-3]
• eval_speed_pldi10_ex1_3: [X₀+X₁+3⋅X₅-3⋅X₂]
• eval_speed_pldi10_ex1_bb1_in: [2⋅X₀-3]
• eval_speed_pldi10_ex1_bb2_in: [X₀+X₁-3]
• eval_speed_pldi10_ex1_bb3_in: [X₀+X₁-3]
• eval_speed_pldi10_ex1_bb4_in: [X₀+X₁-3]
• eval_speed_pldi10_ex1_bb5_in: [X₀+X₁-3]

MPRF for transition t₁₂: eval_speed_pldi10_ex1_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb1_in(X₁, X₁, X₂, X₃, 1+X₄, X₅, X₆) :|: X₁ ≤ 1+X₅ ∧ X₂ ≤ 1+X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₆ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₆ {O(n)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₀-X₄]
• eval_speed_pldi10_ex1_3: [X₀-X₄]
• eval_speed_pldi10_ex1_bb1_in: [X₀-X₄]
• eval_speed_pldi10_ex1_bb2_in: [X₀-X₄]
• eval_speed_pldi10_ex1_bb3_in: [X₀-X₄]
• eval_speed_pldi10_ex1_bb4_in: [X₀-X₄]
• eval_speed_pldi10_ex1_bb5_in: [1+X₅-X₄]

MPRF for transition t₄: eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb3_in(X₀, X₁, 1+X₅, X₃, X₄, X₅, X₆) :|: 2+X₅ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

2⋅X₆⋅X₆+2⋅X₆ {O(n^2)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₀+X₁-1-X₂]
• eval_speed_pldi10_ex1_3: [X₀+X₁-1-X₂]
• eval_speed_pldi10_ex1_bb1_in: [2⋅X₀]
• eval_speed_pldi10_ex1_bb2_in: [X₀+X₁-1-X₅]
• eval_speed_pldi10_ex1_bb3_in: [X₀+X₁-1-X₂]
• eval_speed_pldi10_ex1_bb4_in: [X₀+X₁-1-X₂]
• eval_speed_pldi10_ex1_bb5_in: [X₀+X₁-1-X₅]

MPRF for transition t₆: eval_speed_pldi10_ex1_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₆⋅X₆+2⋅X₆+1 {O(n^2)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₁-X₅]
• eval_speed_pldi10_ex1_3: [1+X₁-X₂]
• eval_speed_pldi10_ex1_bb1_in: [1+X₀]
• eval_speed_pldi10_ex1_bb2_in: [1+X₁-X₅]
• eval_speed_pldi10_ex1_bb3_in: [2+X₁-X₂]
• eval_speed_pldi10_ex1_bb4_in: [1+X₁-X₂]
• eval_speed_pldi10_ex1_bb5_in: [1+X₁-X₅]

MPRF for transition t₈: eval_speed_pldi10_ex1_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_3(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆) :|: X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₆⋅X₆+X₆ {O(n^2)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₁-1-X₅]
• eval_speed_pldi10_ex1_3: [X₁-2-X₅]
• eval_speed_pldi10_ex1_bb1_in: [X₀]
• eval_speed_pldi10_ex1_bb2_in: [X₁-1-X₅]
• eval_speed_pldi10_ex1_bb3_in: [1+X₁+X₅-2⋅X₂]
• eval_speed_pldi10_ex1_bb4_in: [X₁-2-X₅]
• eval_speed_pldi10_ex1_bb5_in: [X₁-1-X₅]

MPRF for transition t₁₀: eval_speed_pldi10_ex1_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_speed_pldi10_ex1_bb2_in(X₀, X₁, X₂, X₃, X₄, X₂, X₆) :|: X₃ ≤ 0 ∧ X₂ ≤ 1+X₅ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₄ ∧ 2+X₄ ≤ X₀ ∧ 2 ≤ X₀+X₅ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₆ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₆⋅X₆+X₆ {O(n^2)}

MPRF:

• eval_speed_pldi10_ex1_2: [X₁-X₅]
• eval_speed_pldi10_ex1_3: [1+X₁-X₂]
• eval_speed_pldi10_ex1_bb1_in: [X₀]
• eval_speed_pldi10_ex1_bb2_in: [X₁-X₅]
• eval_speed_pldi10_ex1_bb3_in: [1+X₁-X₂]
• eval_speed_pldi10_ex1_bb4_in: [X₁-X₂]
• eval_speed_pldi10_ex1_bb5_in: [X₁-X₅]

Cut unreachable locations [eval_speed_pldi10_ex1_3] from the program graph

Found invariant X₀ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₀ ≤ X₄ for location eval_speed_pldi10_ex1_bb6_in

Found invariant 2 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 2+X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 2+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_bb2_in_v1

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_bb3_in_v1

Found invariant 3 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3+X₄ ≤ X₆ ∧ 3+X₃ ≤ X₆ ∧ 5 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 6 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 6 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 1+X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 4 ≤ X₁+X₅ ∧ 4 ≤ X₀+X₅ ∧ 2+X₄ ≤ X₂ ∧ 3+X₄ ≤ X₁ ∧ 3+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₄ ∧ X₃ ≤ 0 ∧ 2+X₃ ≤ X₂ ∧ 3+X₃ ≤ X₁ ∧ 3+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 3 ≤ X₁ ∧ 6 ≤ X₀+X₁ ∧ 3 ≤ X₀ for location eval_speed_pldi10_ex1_bb3_in_v2

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_bb4_in

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_2_v1

Found invariant X₀ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₀ ≤ X₄ for location eval_speed_pldi10_ex1_stop

Found invariant 2 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2+X₄ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 4 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 4 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_speed_pldi10_ex1_3_v1

Found invariant 3 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3+X₄ ≤ X₆ ∧ 5 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 6 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 6 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 4 ≤ X₁+X₅ ∧ 4 ≤ X₀+X₅ ∧ 2+X₄ ≤ X₂ ∧ 3+X₄ ≤ X₁ ∧ 3+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 3 ≤ X₁ ∧ 6 ≤ X₀+X₁ ∧ 3 ≤ X₀ for location eval_speed_pldi10_ex1_3_v2

Found invariant 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_speed_pldi10_ex1_bb2_in

Found invariant 3 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 2+X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3+X₄ ≤ X₆ ∧ 3+X₃ ≤ X₆ ∧ 5 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₆ ∧ 6 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 6 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 2+X₅ ≤ X₁ ∧ 2+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 1+X₄ ≤ X₅ ∧ 1+X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 4 ≤ X₁+X₅ ∧ 4 ≤ X₀+X₅ ∧ 2+X₄ ≤ X₂ ∧ 3+X₄ ≤ X₁ ∧ 3+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₄ ∧ X₃ ≤ 0 ∧ 2+X₃ ≤ X₂ ∧ 3+X₃ ≤ X₁ ∧ 3+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 5 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 3 ≤ X₁ ∧ 6 ≤ X₀+X₁ ∧ 3 ≤ X₀ for location eval_speed_pldi10_ex1_2_v2

Found invariant 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ 1+X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₂ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_speed_pldi10_ex1_bb5_in

Found invariant X₀ ≤ X₆ ∧ 0 ≤ X₄ for location eval_speed_pldi10_ex1_bb1_in

All Bounds

Timebounds

Overall timebound:5⋅X₆⋅X₆+12⋅X₆+9 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₆ {O(n)}
t₃: 1 {O(1)}
t₄: 2⋅X₆⋅X₆+2⋅X₆ {O(n^2)}
t₅: X₆ {O(n)}
t₆: X₆⋅X₆+2⋅X₆+1 {O(n^2)}
t₈: X₆⋅X₆+X₆ {O(n^2)}
t₉: X₆+1 {O(n)}
t₁₀: X₆⋅X₆+X₆ {O(n^2)}
t₁₁: 2⋅X₆+3 {O(n)}
t₁₂: X₆ {O(n)}
t₁₃: 1 {O(1)}

Costbounds

Overall costbound: 5⋅X₆⋅X₆+12⋅X₆+9 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₆ {O(n)}
t₃: 1 {O(1)}
t₄: 2⋅X₆⋅X₆+2⋅X₆ {O(n^2)}
t₅: X₆ {O(n)}
t₆: X₆⋅X₆+2⋅X₆+1 {O(n^2)}
t₈: X₆⋅X₆+X₆ {O(n^2)}
t₉: X₆+1 {O(n)}
t₁₀: X₆⋅X₆+X₆ {O(n^2)}
t₁₁: 2⋅X₆+3 {O(n)}
t₁₂: X₆ {O(n)}
t₁₃: 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)}
t₁, X₀: X₆ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: 0 {O(1)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₀: X₆ {O(n)}
t₂, X₁: 2⋅X₆ {O(n)}
t₂, X₂: 4⋅X₆⋅X₆+7⋅X₆+X₂+3 {O(n^2)}
t₂, X₄: X₆ {O(n)}
t₂, X₅: X₆ {O(n)}
t₂, X₆: X₆ {O(n)}
t₃, X₀: 2⋅X₆ {O(n)}
t₃, X₁: 6⋅X₆+X₁ {O(n)}
t₃, X₂: 4⋅X₆⋅X₆+7⋅X₆+X₂+3 {O(n^2)}
t₃, X₄: X₆ {O(n)}
t₃, X₅: 4⋅X₆⋅X₆+7⋅X₆+X₅ {O(n^2)}
t₃, X₆: 2⋅X₆ {O(n)}
t₄, X₀: X₆ {O(n)}
t₄, X₁: 2⋅X₆ {O(n)}
t₄, X₂: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₄, X₄: X₆ {O(n)}
t₄, X₅: 4⋅X₆⋅X₆+7⋅X₆ {O(n^2)}
t₄, X₆: X₆ {O(n)}
t₅, X₀: X₆ {O(n)}
t₅, X₁: 6⋅X₆ {O(n)}
t₅, X₂: 4⋅X₆⋅X₆+7⋅X₆+3 {O(n^2)}
t₅, X₄: X₆ {O(n)}
t₅, X₅: 4⋅X₆⋅X₆+7⋅X₆ {O(n^2)}
t₅, X₆: X₆ {O(n)}
t₆, X₀: X₆ {O(n)}
t₆, X₁: 2⋅X₆ {O(n)}
t₆, X₂: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₆, X₄: X₆ {O(n)}
t₆, X₅: 4⋅X₆⋅X₆+7⋅X₆ {O(n^2)}
t₆, X₆: X₆ {O(n)}
t₈, X₀: X₆ {O(n)}
t₈, X₁: 2⋅X₆ {O(n)}
t₈, X₂: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₈, X₄: X₆ {O(n)}
t₈, X₅: 4⋅X₆⋅X₆+7⋅X₆ {O(n^2)}
t₈, X₆: X₆ {O(n)}
t₉, X₀: X₆ {O(n)}
t₉, X₁: 2⋅X₆ {O(n)}
t₉, X₂: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₉, X₄: X₆ {O(n)}
t₉, X₅: 4⋅X₆⋅X₆+7⋅X₆ {O(n^2)}
t₉, X₆: X₆ {O(n)}
t₁₀, X₀: X₆ {O(n)}
t₁₀, X₁: 2⋅X₆ {O(n)}
t₁₀, X₂: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₁₀, X₄: X₆ {O(n)}
t₁₀, X₅: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₁₀, X₆: X₆ {O(n)}
t₁₁, X₀: X₆ {O(n)}
t₁₁, X₁: 2⋅X₆ {O(n)}
t₁₁, X₂: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₁₁, X₄: X₆ {O(n)}
t₁₁, X₅: 2⋅X₆⋅X₆+3⋅X₆ {O(n^2)}
t₁₁, X₆: X₆ {O(n)}
t₁₂, X₀: X₆ {O(n)}
t₁₂, X₁: 6⋅X₆ {O(n)}
t₁₂, X₂: 4⋅X₆⋅X₆+7⋅X₆+3 {O(n^2)}
t₁₂, X₄: X₆ {O(n)}
t₁₂, X₅: 4⋅X₆⋅X₆+7⋅X₆ {O(n^2)}
t₁₂, X₆: X₆ {O(n)}
t₁₃, X₀: 2⋅X₆ {O(n)}
t₁₃, X₁: 6⋅X₆+X₁ {O(n)}
t₁₃, X₂: 4⋅X₆⋅X₆+7⋅X₆+X₂+3 {O(n^2)}
t₁₃, X₄: X₆ {O(n)}
t₁₃, X₅: 4⋅X₆⋅X₆+7⋅X₆+X₅ {O(n^2)}
t₁₃, X₆: 2⋅X₆ {O(n)}