Initial Problem
Start: eval_realbubble_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1
Locations: eval_realbubble_2, eval_realbubble_3, eval_realbubble_4, eval_realbubble_5, eval_realbubble_6, eval_realbubble_bb0_in, eval_realbubble_bb1_in, eval_realbubble_bb2_in, eval_realbubble_bb3_in, eval_realbubble_bb4_in, eval_realbubble_bb5_in, eval_realbubble_bb6_in, eval_realbubble_bb7_in, eval_realbubble_bb8_in, eval_realbubble_start, eval_realbubble_stop
Transitions:
t₈: eval_realbubble_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: eval_realbubble_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_4(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆)
t₁₁: eval_realbubble_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀
t₁₂: eval_realbubble_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: X₀ ≤ X₁
t₁₅: eval_realbubble_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₆: eval_realbubble_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, 1)
t₁: eval_realbubble_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb1_in(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆)
t₂: eval_realbubble_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb2_in(X₀, X₁, X₂, 0, X₄, 0, X₆) :|: 1 ≤ X₂
t₃: eval_realbubble_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0
t₄: eval_realbubble_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₂
t₅: eval_realbubble_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₃
t₆: eval_realbubble_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₃: eval_realbubble_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₇: eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb2_in(X₀, X₁, X₂, 1+X₃, X₄, X₆, X₆)
t₁₉: eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ 0
t₂₀: eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅
t₁₈: eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₅ ∧ X₅ ≤ 0
t₂₁: eval_realbubble_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb1_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆)
t₂₂: eval_realbubble_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_realbubble_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
Preprocessing
Found invariant X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb6_in
Found invariant X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₅+X₆ ≤ 2 ∧ 1+X₆ ≤ X₄ ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb5_in
Found invariant X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_5
Found invariant 1+X₂ ≤ X₄ for location eval_realbubble_bb8_in
Found invariant X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_4
Found invariant X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_3
Found invariant X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb3_in
Found invariant X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_6
Found invariant 1+X₂ ≤ X₄ for location eval_realbubble_stop
Found invariant X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb7_in
Found invariant 1+X₂ ≤ X₄ for location eval_realbubble_bb1_in
Found invariant X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb2_in
Found invariant X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_bb4_in
Found invariant X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_2
Cut unsatisfiable transition [t₁₉: eval_realbubble_bb6_in→eval_realbubble_bb7_in]
Problem after Preprocessing
Start: eval_realbubble_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1
Locations: eval_realbubble_2, eval_realbubble_3, eval_realbubble_4, eval_realbubble_5, eval_realbubble_6, eval_realbubble_bb0_in, eval_realbubble_bb1_in, eval_realbubble_bb2_in, eval_realbubble_bb3_in, eval_realbubble_bb4_in, eval_realbubble_bb5_in, eval_realbubble_bb6_in, eval_realbubble_bb7_in, eval_realbubble_bb8_in, eval_realbubble_start, eval_realbubble_stop
Transitions:
t₈: eval_realbubble_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₀: eval_realbubble_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_4(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₁: eval_realbubble_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₂: eval_realbubble_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: X₀ ≤ X₁ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₅: eval_realbubble_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₆: eval_realbubble_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, 1) :|: X₅ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁: eval_realbubble_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb1_in(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆)
t₂: eval_realbubble_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb2_in(X₀, X₁, X₂, 0, X₄, 0, X₆) :|: 1 ≤ X₂ ∧ 1+X₂ ≤ X₄
t₃: eval_realbubble_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ 1+X₂ ≤ X₄
t₄: eval_realbubble_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₂ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₂+X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₅: eval_realbubble_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₃ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₂+X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₆: eval_realbubble_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₃: eval_realbubble_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₇: eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb2_in(X₀, X₁, X₂, 1+X₃, X₄, X₆, X₆) :|: X₅+X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₅ ∧ X₅ ≤ 1 ∧ X₆ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₄ ∧ X₆ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₂₀: eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅
t₁₈: eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₅ ≤ X₃
t₂₁: eval_realbubble_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb1_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₅ ≤ X₃
t₂₂: eval_realbubble_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₂ ≤ X₄
t₀: eval_realbubble_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
MPRF for transition t₂: eval_realbubble_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb2_in(X₀, X₁, X₂, 0, X₄, 0, X₆) :|: 1 ≤ X₂ ∧ 1+X₂ ≤ X₄ of depth 1:
new bound:
X₄+1 {O(n)}
MPRF:
• eval_realbubble_2: [X₂-1]
• eval_realbubble_3: [X₂-1]
• eval_realbubble_4: [X₂-1]
• eval_realbubble_5: [X₂-1]
• eval_realbubble_6: [X₂-1]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂-1]
• eval_realbubble_bb3_in: [X₂-1]
• eval_realbubble_bb4_in: [X₂-1]
• eval_realbubble_bb5_in: [X₂-1]
• eval_realbubble_bb6_in: [X₃-1]
• eval_realbubble_bb7_in: [X₂-X₅]
MPRF for transition t₅: eval_realbubble_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₃ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₂+X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄+1 {O(n)}
MPRF:
• eval_realbubble_2: [X₂]
• eval_realbubble_3: [X₂]
• eval_realbubble_4: [X₂]
• eval_realbubble_5: [X₂]
• eval_realbubble_6: [X₂]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂]
• eval_realbubble_bb3_in: [X₂]
• eval_realbubble_bb4_in: [X₂]
• eval_realbubble_bb5_in: [X₂]
• eval_realbubble_bb6_in: [X₂-1]
• eval_realbubble_bb7_in: [X₃-1]
MPRF for transition t₂₀: eval_realbubble_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₃+X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
2⋅X₄+1 {O(n)}
MPRF:
• eval_realbubble_2: [X₂+X₄]
• eval_realbubble_3: [X₂+X₄]
• eval_realbubble_4: [X₂+X₄]
• eval_realbubble_5: [X₂+X₄]
• eval_realbubble_6: [X₂+X₄]
• eval_realbubble_bb1_in: [X₂+X₄]
• eval_realbubble_bb2_in: [X₂+X₄]
• eval_realbubble_bb3_in: [X₂+X₄]
• eval_realbubble_bb4_in: [X₂+X₄]
• eval_realbubble_bb5_in: [X₂+X₄]
• eval_realbubble_bb6_in: [X₂+X₄]
• eval_realbubble_bb7_in: [X₃+X₄-1]
MPRF for transition t₂₁: eval_realbubble_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb1_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₄+X₅ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₅ ≤ X₃ of depth 1:
new bound:
X₄+1 {O(n)}
MPRF:
• eval_realbubble_2: [X₂]
• eval_realbubble_3: [X₂]
• eval_realbubble_4: [X₂]
• eval_realbubble_5: [X₂]
• eval_realbubble_6: [X₂]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂]
• eval_realbubble_bb3_in: [X₂]
• eval_realbubble_bb4_in: [X₂]
• eval_realbubble_bb5_in: [X₂]
• eval_realbubble_bb6_in: [X₂]
• eval_realbubble_bb7_in: [X₃]
MPRF for transition t₄: eval_realbubble_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₂ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₅ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₂+X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄⋅X₄+3⋅X₄+2 {O(n^2)}
MPRF:
• eval_realbubble_2: [X₂-1-X₃]
• eval_realbubble_3: [X₂-1-X₃]
• eval_realbubble_4: [X₂-1-X₃]
• eval_realbubble_5: [X₂-1-X₃]
• eval_realbubble_6: [X₂-1-X₃]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂-X₃]
• eval_realbubble_bb3_in: [X₂-1-X₃]
• eval_realbubble_bb4_in: [X₂-1-X₃]
• eval_realbubble_bb5_in: [X₂-1-X₃]
• eval_realbubble_bb6_in: [X₂-X₃]
• eval_realbubble_bb7_in: [X₂-X₃]
MPRF for transition t₆: eval_realbubble_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄⋅X₄+2⋅X₄ {O(n^2)}
MPRF:
• eval_realbubble_2: [X₄-1-X₃]
• eval_realbubble_3: [X₄-1-X₃]
• eval_realbubble_4: [X₄-1-X₃]
• eval_realbubble_5: [X₄-1-X₃]
• eval_realbubble_6: [X₄-1-X₃]
• eval_realbubble_bb1_in: [X₄]
• eval_realbubble_bb2_in: [X₄-X₃]
• eval_realbubble_bb3_in: [X₄-X₃]
• eval_realbubble_bb4_in: [X₄-1-X₃]
• eval_realbubble_bb5_in: [X₄-1-X₃]
• eval_realbubble_bb6_in: [X₄-X₃]
• eval_realbubble_bb7_in: [X₄-X₃]
MPRF for transition t₈: eval_realbubble_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄⋅X₄+3⋅X₄+2 {O(n^2)}
MPRF:
• eval_realbubble_2: [X₂-X₃]
• eval_realbubble_3: [X₂-1-X₃]
• eval_realbubble_4: [X₂-1-X₃]
• eval_realbubble_5: [X₂-1-X₃]
• eval_realbubble_6: [X₂-1-X₃]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂-X₃]
• eval_realbubble_bb3_in: [X₂-X₃]
• eval_realbubble_bb4_in: [X₂-1-X₃]
• eval_realbubble_bb5_in: [X₂-1-X₃]
• eval_realbubble_bb6_in: [X₂-X₃]
• eval_realbubble_bb7_in: [X₂-X₃]
MPRF for transition t₁₀: eval_realbubble_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_4(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄⋅X₄+3⋅X₄+2 {O(n^2)}
MPRF:
• eval_realbubble_2: [X₂-X₃]
• eval_realbubble_3: [X₂-X₃]
• eval_realbubble_4: [X₂-1-X₃]
• eval_realbubble_5: [X₂-1-X₃]
• eval_realbubble_6: [X₂-1-X₃]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂-X₃]
• eval_realbubble_bb3_in: [X₂-X₃]
• eval_realbubble_bb4_in: [X₂-1-X₃]
• eval_realbubble_bb5_in: [X₂-1-X₃]
• eval_realbubble_bb6_in: [X₂-X₃]
• eval_realbubble_bb7_in: [X₂-X₃]
MPRF for transition t₁₁: eval_realbubble_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄⋅X₄+3⋅X₄+2 {O(n^2)}
MPRF:
• eval_realbubble_2: [X₂-X₃]
• eval_realbubble_3: [X₂-X₃]
• eval_realbubble_4: [X₂-X₃]
• eval_realbubble_5: [X₂-1-X₃]
• eval_realbubble_6: [X₂-1-X₃]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂-X₃]
• eval_realbubble_bb3_in: [X₂-X₃]
• eval_realbubble_bb4_in: [X₂-1-X₃]
• eval_realbubble_bb5_in: [X₂-1-X₃]
• eval_realbubble_bb6_in: [X₂-X₃]
• eval_realbubble_bb7_in: [X₂-X₃]
MPRF for transition t₁₂: eval_realbubble_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: X₀ ≤ X₁ ∧ X₅ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄⋅X₄+2⋅X₄ {O(n^2)}
MPRF:
• eval_realbubble_2: [X₄-X₃]
• eval_realbubble_3: [X₄-X₃]
• eval_realbubble_4: [X₄-X₃]
• eval_realbubble_5: [X₄-1-X₃]
• eval_realbubble_6: [X₄-1-X₃]
• eval_realbubble_bb1_in: [X₄]
• eval_realbubble_bb2_in: [X₄-X₃]
• eval_realbubble_bb3_in: [X₄-X₃]
• eval_realbubble_bb4_in: [X₄-1-X₃]
• eval_realbubble_bb5_in: [X₄-1-X₃]
• eval_realbubble_bb6_in: [X₄-X₃]
• eval_realbubble_bb7_in: [X₄-X₃]
MPRF for transition t₁₃: eval_realbubble_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
3⋅X₄⋅X₄+7⋅X₄+2 {O(n^2)}
MPRF:
• eval_realbubble_2: [1+X₄-X₃]
• eval_realbubble_3: [1+X₄-X₃]
• eval_realbubble_4: [1+X₄-X₃]
• eval_realbubble_5: [X₄-X₃]
• eval_realbubble_6: [X₄-X₃]
• eval_realbubble_bb1_in: [2⋅X₄-X₂]
• eval_realbubble_bb2_in: [1+X₄-X₃]
• eval_realbubble_bb3_in: [1+X₄-X₃]
• eval_realbubble_bb4_in: [1+X₄-X₃]
• eval_realbubble_bb5_in: [X₄-X₃]
• eval_realbubble_bb6_in: [X₄-X₃]
• eval_realbubble_bb7_in: [X₄-X₃]
MPRF for transition t₁₅: eval_realbubble_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
X₄⋅X₄+3⋅X₄+2 {O(n^2)}
MPRF:
• eval_realbubble_2: [X₂-X₃]
• eval_realbubble_3: [X₂-X₃]
• eval_realbubble_4: [X₂-X₃]
• eval_realbubble_5: [X₂-X₃]
• eval_realbubble_6: [X₂-1-X₃]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂-X₃]
• eval_realbubble_bb3_in: [X₂-X₃]
• eval_realbubble_bb4_in: [X₂-X₃]
• eval_realbubble_bb5_in: [X₂-1-X₃]
• eval_realbubble_bb6_in: [X₂-X₃]
• eval_realbubble_bb7_in: [X₂-X₃]
MPRF for transition t₁₆: eval_realbubble_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, 1) :|: X₅ ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:
new bound:
2⋅X₄⋅X₄+6⋅X₄+4 {O(n^2)}
MPRF:
• eval_realbubble_2: [2⋅X₂-X₃-X₅]
• eval_realbubble_3: [2⋅X₂-X₃-X₅]
• eval_realbubble_4: [2⋅X₂-X₃-X₅]
• eval_realbubble_5: [2⋅X₂-X₃-X₅]
• eval_realbubble_6: [2⋅X₂-X₃-X₅]
• eval_realbubble_bb1_in: [2⋅X₂]
• eval_realbubble_bb2_in: [2⋅X₂-X₃-X₅]
• eval_realbubble_bb3_in: [2⋅X₂-X₃-X₅]
• eval_realbubble_bb4_in: [2⋅X₂-X₃-X₅]
• eval_realbubble_bb5_in: [2⋅X₂-X₃-X₅-X₆]
• eval_realbubble_bb6_in: [2⋅X₂-X₃-X₅]
• eval_realbubble_bb7_in: [2⋅X₂-1-X₃]
MPRF for transition t₁₇: eval_realbubble_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realbubble_bb2_in(X₀, X₁, X₂, 1+X₃, X₄, X₆, X₆) :|: X₅+X₆ ≤ 2 ∧ X₆ ≤ 1+X₃ ∧ X₆ ≤ 1+X₅ ∧ X₅ ≤ 1 ∧ X₆ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₂+X₆ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₄ ∧ X₆ ≤ X₂ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₄⋅X₄+3⋅X₄+2 {O(n^2)}
MPRF:
• eval_realbubble_2: [X₂-X₃]
• eval_realbubble_3: [X₂-X₃]
• eval_realbubble_4: [X₂-X₃]
• eval_realbubble_5: [X₂-X₃]
• eval_realbubble_6: [X₂-X₃]
• eval_realbubble_bb1_in: [X₂]
• eval_realbubble_bb2_in: [X₂-X₃]
• eval_realbubble_bb3_in: [X₂-X₃]
• eval_realbubble_bb4_in: [X₂-X₃]
• eval_realbubble_bb5_in: [X₂-X₃]
• eval_realbubble_bb6_in: [X₂-X₃]
• eval_realbubble_bb7_in: [X₂-X₃]
Cut unsatisfiable transition [t₅: eval_realbubble_bb2_in→eval_realbubble_bb6_in; t₁₂₂: eval_realbubble_bb2_in→eval_realbubble_bb6_in]
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ X₀ ≤ X₁ for location eval_realbubble_2_v3
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_4_v1
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_2_v1
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ X₀ ≤ X₁ for location eval_realbubble_bb5_in_v5
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 1+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb7_in
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ for location eval_realbubble_3_v3
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_5_v2
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ for location eval_realbubble_4_v2
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_3_v1
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ for location eval_realbubble_4_v3
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_6_v1
Found invariant X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₅+X₆ ≤ 1 ∧ 1+X₆ ≤ X₄ ∧ X₆ ≤ 1+X₃ ∧ X₃+X₆ ≤ 1 ∧ X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1+X₃ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_bb5_in_v2
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 1+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb6_in
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_6_v2
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ for location eval_realbubble_3_v2
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_5_v1
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_5_v3
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb3_in_v1
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_6_v3
Found invariant 1+X₂ ≤ X₄ for location eval_realbubble_bb1_in
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 0 ∧ 1+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 1 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ X₀ ≤ X₁ for location eval_realbubble_bb5_in_v1
Found invariant X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ X₅+X₆ ≤ 1 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1+X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_bb5_in_v6
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ X₀ ≤ X₁ for location eval_realbubble_bb3_in_v3
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_bb4_in_v2
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_bb4_in_v1
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 1+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb2_in_v1
Found invariant 1+X₂ ≤ X₄ for location eval_realbubble_bb8_in
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ for location eval_realbubble_bb3_in_v2
Found invariant 1+X₂ ≤ X₄ for location eval_realbubble_stop
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ for location eval_realbubble_2_v2
Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 0 ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_realbubble_bb2_in
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_bb5_in_v4
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 2+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₂ ∧ X₀ ≤ X₁ for location eval_realbubble_bb2_in_v2
Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 3+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 2+X₆ ≤ X₂ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₅ ≤ 0 ∧ 3+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ 1+X₁ ≤ X₀ for location eval_realbubble_bb4_in_v3
Found invariant X₆ ≤ 1 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 2 ∧ 2+X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ 1+X₆ ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 3 ≤ X₂+X₆ ∧ X₅ ≤ 1 ∧ 2+X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ 1+X₅ ≤ X₂ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 3 ≤ X₂+X₅ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 5 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₂ ∧ X₀ ≤ X₁ for location eval_realbubble_bb5_in_v3
All Bounds
Timebounds
Overall timebound:13⋅X₄⋅X₄+40⋅X₄+27 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₄+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₅: X₄+1 {O(n)}
t₆: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₈: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₀: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₁: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₂: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₃: 3⋅X₄⋅X₄+7⋅X₄+2 {O(n^2)}
t₁₅: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₆: 2⋅X₄⋅X₄+6⋅X₄+4 {O(n^2)}
t₁₇: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₈: 1 {O(1)}
t₂₀: 2⋅X₄+1 {O(n)}
t₂₁: X₄+1 {O(n)}
t₂₂: 1 {O(1)}
Costbounds
Overall costbound: 13⋅X₄⋅X₄+40⋅X₄+27 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₄+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₅: X₄+1 {O(n)}
t₆: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₈: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₀: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₁: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₂: X₄⋅X₄+2⋅X₄ {O(n^2)}
t₁₃: 3⋅X₄⋅X₄+7⋅X₄+2 {O(n^2)}
t₁₅: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₆: 2⋅X₄⋅X₄+6⋅X₄+4 {O(n^2)}
t₁₇: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₈: 1 {O(1)}
t₂₀: 2⋅X₄+1 {O(n)}
t₂₁: X₄+1 {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)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₄+1 {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₂: X₄+1 {O(n)}
t₂, X₃: 0 {O(1)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: 0 {O(1)}
t₂, X₆: X₆+1 {O(n)}
t₃, X₂: 2⋅X₄+2 {O(n)}
t₃, X₃: X₄⋅X₄+3⋅X₄+X₃+2 {O(n^2)}
t₃, X₄: 2⋅X₄ {O(n)}
t₃, X₅: X₅+1 {O(n)}
t₃, X₆: X₆+1 {O(n)}
t₄, X₂: X₄+1 {O(n)}
t₄, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: 1 {O(1)}
t₄, X₆: X₆+2 {O(n)}
t₅, X₂: X₄+1 {O(n)}
t₅, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: 1 {O(1)}
t₅, X₆: 1 {O(1)}
t₆, X₂: X₄+1 {O(n)}
t₆, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: 1 {O(1)}
t₆, X₆: X₆+2 {O(n)}
t₈, X₂: X₄+1 {O(n)}
t₈, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: 1 {O(1)}
t₈, X₆: X₆+2 {O(n)}
t₁₀, X₂: X₄+1 {O(n)}
t₁₀, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: 1 {O(1)}
t₁₀, X₆: X₆+2 {O(n)}
t₁₁, X₂: X₄+1 {O(n)}
t₁₁, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: 1 {O(1)}
t₁₁, X₆: X₆+2 {O(n)}
t₁₂, X₂: X₄+1 {O(n)}
t₁₂, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: 1 {O(1)}
t₁₂, X₆: 1 {O(1)}
t₁₃, X₂: X₄+1 {O(n)}
t₁₃, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: 1 {O(1)}
t₁₃, X₆: X₆+2 {O(n)}
t₁₅, X₂: X₄+1 {O(n)}
t₁₅, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: 1 {O(1)}
t₁₅, X₆: X₆+2 {O(n)}
t₁₆, X₂: X₄+1 {O(n)}
t₁₆, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₆, X₄: X₄ {O(n)}
t₁₆, X₅: 1 {O(1)}
t₁₆, X₆: 1 {O(1)}
t₁₇, X₂: X₄+1 {O(n)}
t₁₇, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: 1 {O(1)}
t₁₇, X₆: 1 {O(1)}
t₁₈, X₂: X₄+1 {O(n)}
t₁₈, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₁₈, X₄: X₄ {O(n)}
t₁₈, X₅: 0 {O(1)}
t₁₈, X₆: 1 {O(1)}
t₂₀, X₂: X₄+1 {O(n)}
t₂₀, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₂₀, X₄: X₄ {O(n)}
t₂₀, X₅: 1 {O(1)}
t₂₀, X₆: 1 {O(1)}
t₂₁, X₂: X₄+1 {O(n)}
t₂₁, X₃: X₄⋅X₄+3⋅X₄+2 {O(n^2)}
t₂₁, X₄: X₄ {O(n)}
t₂₁, X₅: 1 {O(1)}
t₂₁, X₆: 1 {O(1)}
t₂₂, X₂: 3⋅X₄+3 {O(n)}
t₂₂, X₃: 2⋅X₄⋅X₄+6⋅X₄+X₃+4 {O(n^2)}
t₂₂, X₄: 3⋅X₄ {O(n)}
t₂₂, X₅: X₅+1 {O(n)}
t₂₂, X₆: X₆+2 {O(n)}