Initial Problem
Start: eval_perfect_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: eval_perfect_0, eval_perfect_1, eval_perfect_10, eval_perfect_11, eval_perfect_7, eval_perfect_8, eval_perfect_9, eval_perfect_bb0_in, eval_perfect_bb1_in, eval_perfect_bb2_in, eval_perfect_bb3_in, eval_perfect_bb4_in, eval_perfect_bb5_in, eval_perfect_bb6_in, eval_perfect_start, eval_perfect_stop
Transitions:
t₂: eval_perfect_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: eval_perfect_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₃, X₅, X₃) :|: 2 ≤ X₃
t₃: eval_perfect_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ ≤ 1
t₁₆: eval_perfect_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₇: eval_perfect_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₁, X₅, X₀)
t₁₁: eval_perfect_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₂: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₂, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₅ ∧ X₅ ≤ 0
t₁₃: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₆, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ 0
t₁₄: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₆, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅
t₁₅: eval_perfect_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁: eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb2_in(X₀, X₄-1, X₂, X₃, X₄, X₃, X₆) :|: 2 ≤ X₄
t₆: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1
t₇: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₅
t₈: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₁
t₉: eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅-X₁, X₆)
t₁₀: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_7(X₀, X₁, X₆-X₁, X₃, X₄, X₅, X₆)
t₁₈: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₆ ≤ 0
t₁₉: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆
t₂₀: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₆ ∧ X₆ ≤ 0
t₂₁: eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_perfect_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
Preprocessing
Found invariant X₆ ≤ X₃ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₃ for location eval_perfect_bb1_in
Found invariant X₆ ≤ X₃ ∧ X₄ ≤ 1 ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₃ for location eval_perfect_bb5_in
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ for location eval_perfect_10
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ for location eval_perfect_11
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_7
Found invariant X₆ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb2_in
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_8
Found invariant X₆ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb3_in
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ for location eval_perfect_9
Found invariant X₆ ≤ X₃ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb4_in
Problem after Preprocessing
Start: eval_perfect_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: eval_perfect_0, eval_perfect_1, eval_perfect_10, eval_perfect_11, eval_perfect_7, eval_perfect_8, eval_perfect_9, eval_perfect_bb0_in, eval_perfect_bb1_in, eval_perfect_bb2_in, eval_perfect_bb3_in, eval_perfect_bb4_in, eval_perfect_bb5_in, eval_perfect_bb6_in, eval_perfect_start, eval_perfect_stop
Transitions:
t₂: eval_perfect_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: eval_perfect_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₃, X₅, X₃) :|: 2 ≤ X₃
t₃: eval_perfect_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ ≤ 1
t₁₆: eval_perfect_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁₇: eval_perfect_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₁, X₅, X₀) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁₁: eval_perfect_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁₂: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₂, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁₃: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₆, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁₄: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₆, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁₅: eval_perfect_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁: eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb2_in(X₀, X₄-1, X₂, X₃, X₄, X₃, X₆) :|: 2 ≤ X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₆: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1 ∧ 1 ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₇: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃
t₈: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₁ ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃
t₉: eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅-X₁, X₆) :|: X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₄ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃
t₁₀: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_7(X₀, X₁, X₆-X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃
t₁₈: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₆ ≤ 0 ∧ X₄ ≤ 1 ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₄ ∧ X₆ ≤ X₃
t₁₉: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆ ∧ X₄ ≤ 1 ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₄ ∧ X₆ ≤ X₃
t₂₀: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₆ ∧ X₆ ≤ 0 ∧ X₄ ≤ 1 ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₄ ∧ X₆ ≤ X₃
t₂₁: eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_perfect_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
MPRF for transition t₅: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb2_in(X₀, X₄-1, X₂, X₃, X₄, X₃, X₆) :|: 2 ≤ X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃ {O(n)}
MPRF:
• eval_perfect_10: [X₁]
• eval_perfect_11: [X₁]
• eval_perfect_7: [X₄-1]
• eval_perfect_8: [X₁]
• eval_perfect_9: [X₁]
• eval_perfect_bb1_in: [X₄]
• eval_perfect_bb2_in: [X₄-1]
• eval_perfect_bb3_in: [X₄-1]
• eval_perfect_bb4_in: [X₄-1]
MPRF for transition t₈: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₁ ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [2⋅X₁-X₄]
• eval_perfect_11: [2⋅X₁-X₄]
• eval_perfect_7: [X₁-1]
• eval_perfect_8: [X₁-1]
• eval_perfect_9: [X₄-2]
• eval_perfect_bb1_in: [X₄-1]
• eval_perfect_bb2_in: [X₁]
• eval_perfect_bb3_in: [X₄-1]
• eval_perfect_bb4_in: [X₁-1]
MPRF for transition t₁₀: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_7(X₀, X₁, X₆-X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
2⋅X₃ {O(n)}
MPRF:
• eval_perfect_10: [X₁+X₃]
• eval_perfect_11: [X₁+X₃]
• eval_perfect_7: [X₁+X₃]
• eval_perfect_8: [X₁+X₃]
• eval_perfect_9: [X₁+X₃]
• eval_perfect_bb1_in: [X₃+X₄]
• eval_perfect_bb2_in: [X₃+X₄]
• eval_perfect_bb3_in: [1+X₁+X₃]
• eval_perfect_bb4_in: [1+X₁+X₃]
MPRF for transition t₁₁: eval_perfect_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [X₄-2]
• eval_perfect_11: [X₄-2]
• eval_perfect_7: [X₄-1]
• eval_perfect_8: [X₄-2]
• eval_perfect_9: [X₄-2]
• eval_perfect_bb1_in: [X₄-1]
• eval_perfect_bb2_in: [X₄-1]
• eval_perfect_bb3_in: [X₄-1]
• eval_perfect_bb4_in: [X₄-1]
MPRF for transition t₁₂: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₂, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [X₄]
• eval_perfect_11: [X₄]
• eval_perfect_7: [1+X₄]
• eval_perfect_8: [1+X₄]
• eval_perfect_9: [X₄]
• eval_perfect_bb1_in: [1+X₄]
• eval_perfect_bb2_in: [2+X₁]
• eval_perfect_bb3_in: [1+X₄]
• eval_perfect_bb4_in: [1+X₄]
MPRF for transition t₁₃: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₆, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [X₁-1]
• eval_perfect_11: [X₁-1]
• eval_perfect_7: [X₁]
• eval_perfect_8: [X₄-1]
• eval_perfect_9: [X₄-2]
• eval_perfect_bb1_in: [X₄-1]
• eval_perfect_bb2_in: [X₁]
• eval_perfect_bb3_in: [X₁]
• eval_perfect_bb4_in: [X₁]
MPRF for transition t₁₄: eval_perfect_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_9(X₆, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [X₁-1]
• eval_perfect_11: [X₁-1]
• eval_perfect_7: [X₄-1]
• eval_perfect_8: [X₁]
• eval_perfect_9: [X₁-1]
• eval_perfect_bb1_in: [X₄-1]
• eval_perfect_bb2_in: [X₁]
• eval_perfect_bb3_in: [X₁]
• eval_perfect_bb4_in: [X₄-1]
MPRF for transition t₁₅: eval_perfect_9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [1+X₁]
• eval_perfect_11: [1+X₁]
• eval_perfect_7: [2+X₁]
• eval_perfect_8: [2+X₁]
• eval_perfect_9: [1+X₄]
• eval_perfect_bb1_in: [1+X₄]
• eval_perfect_bb2_in: [1+X₄]
• eval_perfect_bb3_in: [2+X₁]
• eval_perfect_bb4_in: [1+X₄]
MPRF for transition t₁₆: eval_perfect_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [2+X₁]
• eval_perfect_11: [1+X₁]
• eval_perfect_7: [2+X₁]
• eval_perfect_8: [1+X₄]
• eval_perfect_9: [1+X₄]
• eval_perfect_bb1_in: [1+X₄]
• eval_perfect_bb2_in: [1+X₄]
• eval_perfect_bb3_in: [1+X₄]
• eval_perfect_bb4_in: [2+X₁]
MPRF for transition t₁₇: eval_perfect_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₁, X₅, X₀) :|: X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_perfect_10: [X₁]
• eval_perfect_11: [X₁]
• eval_perfect_7: [X₄-1]
• eval_perfect_8: [X₁]
• eval_perfect_9: [X₄-1]
• eval_perfect_bb1_in: [X₄-1]
• eval_perfect_bb2_in: [X₄-1]
• eval_perfect_bb3_in: [X₄-1]
• eval_perfect_bb4_in: [X₄-1]
MPRF for transition t₇: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₅ ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
2⋅X₃⋅X₃+6⋅X₃+4 {O(n^2)}
MPRF:
• eval_perfect_10: [X₅-X₁]
• eval_perfect_11: [X₅-X₁]
• eval_perfect_7: [X₅-X₁]
• eval_perfect_8: [X₅-X₁]
• eval_perfect_9: [X₅-X₁]
• eval_perfect_bb1_in: [2+X₃-X₄]
• eval_perfect_bb2_in: [1+X₅-X₁]
• eval_perfect_bb3_in: [1+X₅-2⋅X₁]
• eval_perfect_bb4_in: [X₅-X₁]
MPRF for transition t₉: eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅-X₁, X₆) :|: X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₄ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:
new bound:
2⋅X₃⋅X₃+4⋅X₃ {O(n^2)}
MPRF:
• eval_perfect_10: [X₁+X₅-1]
• eval_perfect_11: [X₁+X₅-1]
• eval_perfect_7: [X₁+X₅-1]
• eval_perfect_8: [X₁+X₅-1]
• eval_perfect_9: [X₁+X₅-1]
• eval_perfect_bb1_in: [X₃+X₄]
• eval_perfect_bb2_in: [X₁+X₅-1]
• eval_perfect_bb3_in: [X₅]
• eval_perfect_bb4_in: [X₁+X₅-1]
Cut unsatisfiable transition [t₈: eval_perfect_bb2_in→eval_perfect_bb4_in; t₁₀₉: eval_perfect_bb2_in→eval_perfect_bb4_in]
Found invariant X₆ ≤ X₃ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₃ for location eval_perfect_bb1_in
Found invariant X₆ ≤ X₃ ∧ X₄ ≤ 1 ∧ 1+X₄ ≤ X₃ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₃ for location eval_perfect_bb5_in
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ for location eval_perfect_11
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ for location eval_perfect_9
Found invariant X₆ ≤ X₃ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb4_in
Found invariant X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 3 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb3_in_v1
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁ for location eval_perfect_10
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_7
Found invariant X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 4 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 3 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb2_in
Found invariant X₆ ≤ X₃ ∧ 1+X₂ ≤ X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_8
Found invariant X₆ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb3_in_v2
Found invariant X₆ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₁ for location eval_perfect_bb2_in_v1
Cut unsatisfiable transition [t₁₃: eval_perfect_8→eval_perfect_9]
All Bounds
Timebounds
Overall timebound:4⋅X₃⋅X₃+21⋅X₃+22 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: X₃ {O(n)}
t₆: 1 {O(1)}
t₇: 2⋅X₃⋅X₃+6⋅X₃+4 {O(n^2)}
t₈: X₃+1 {O(n)}
t₉: 2⋅X₃⋅X₃+4⋅X₃ {O(n^2)}
t₁₀: 2⋅X₃ {O(n)}
t₁₁: X₃+1 {O(n)}
t₁₂: X₃+1 {O(n)}
t₁₃: X₃+1 {O(n)}
t₁₄: X₃+1 {O(n)}
t₁₅: X₃+1 {O(n)}
t₁₆: X₃+1 {O(n)}
t₁₇: X₃+1 {O(n)}
t₁₈: 1 {O(1)}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}
Costbounds
Overall costbound: 4⋅X₃⋅X₃+21⋅X₃+22 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: X₃ {O(n)}
t₆: 1 {O(1)}
t₇: 2⋅X₃⋅X₃+6⋅X₃+4 {O(n^2)}
t₈: X₃+1 {O(n)}
t₉: 2⋅X₃⋅X₃+4⋅X₃ {O(n^2)}
t₁₀: 2⋅X₃ {O(n)}
t₁₁: X₃+1 {O(n)}
t₁₂: X₃+1 {O(n)}
t₁₃: X₃+1 {O(n)}
t₁₄: X₃+1 {O(n)}
t₁₅: X₃+1 {O(n)}
t₁₆: X₃+1 {O(n)}
t₁₇: X₃+1 {O(n)}
t₁₈: 1 {O(1)}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 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: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {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)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₃ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₃ {O(n)}
t₅, X₀: 2⋅X₃⋅X₃+2⋅X₃+X₀ {O(n^2)}
t₅, X₁: X₃ {O(n)}
t₅, X₂: 6⋅X₃⋅X₃+6⋅X₃+X₂ {O(n^2)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: 2⋅X₃ {O(n)}
t₅, X₅: 2⋅X₃ {O(n)}
t₅, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₆, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₆, X₁: X₃ {O(n)}
t₆, X₂: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: 1 {O(1)}
t₆, X₅: 4⋅X₃ {O(n)}
t₆, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₇, X₀: 2⋅X₃⋅X₃+2⋅X₃+X₀ {O(n^2)}
t₇, X₁: X₃ {O(n)}
t₇, X₂: 6⋅X₃⋅X₃+6⋅X₃+X₂ {O(n^2)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: 2⋅X₃ {O(n)}
t₇, X₅: 2⋅X₃ {O(n)}
t₇, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₈, X₀: 2⋅X₃⋅X₃+2⋅X₃+X₀ {O(n^2)}
t₈, X₁: X₃ {O(n)}
t₈, X₂: 6⋅X₃⋅X₃+6⋅X₃+X₂ {O(n^2)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: 2⋅X₃ {O(n)}
t₈, X₅: 2⋅X₃ {O(n)}
t₈, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₉, X₀: 2⋅X₃⋅X₃+2⋅X₃+X₀ {O(n^2)}
t₉, X₁: X₃ {O(n)}
t₉, X₂: 6⋅X₃⋅X₃+6⋅X₃+X₂ {O(n^2)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: 2⋅X₃ {O(n)}
t₉, X₅: 2⋅X₃ {O(n)}
t₉, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₀, X₀: 2⋅X₃⋅X₃+2⋅X₃+X₀ {O(n^2)}
t₁₀, X₁: X₃ {O(n)}
t₁₀, X₂: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: 2⋅X₃ {O(n)}
t₁₀, X₅: 2⋅X₃ {O(n)}
t₁₀, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₁, X₀: 2⋅X₃⋅X₃+2⋅X₃+X₀ {O(n^2)}
t₁₁, X₁: X₃ {O(n)}
t₁₁, X₂: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: 2⋅X₃ {O(n)}
t₁₁, X₅: 2⋅X₃ {O(n)}
t₁₁, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₂, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₂, X₁: X₃ {O(n)}
t₁₂, X₂: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: 2⋅X₃ {O(n)}
t₁₂, X₅: 0 {O(1)}
t₁₂, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₃, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₃, X₁: X₃ {O(n)}
t₁₃, X₂: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: 2⋅X₃ {O(n)}
t₁₃, X₅: 2⋅X₃ {O(n)}
t₁₃, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₄, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₄, X₁: X₃ {O(n)}
t₁₄, X₂: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: 2⋅X₃ {O(n)}
t₁₄, X₅: 2⋅X₃ {O(n)}
t₁₄, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₅, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₅, X₁: X₃ {O(n)}
t₁₅, X₂: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: 6⋅X₃ {O(n)}
t₁₅, X₅: 4⋅X₃ {O(n)}
t₁₅, X₆: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₆, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₆, X₁: X₃ {O(n)}
t₁₆, X₂: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: 6⋅X₃ {O(n)}
t₁₆, X₅: 4⋅X₃ {O(n)}
t₁₆, X₆: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₇, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₇, X₁: X₃ {O(n)}
t₁₇, X₂: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: X₃ {O(n)}
t₁₇, X₅: 4⋅X₃ {O(n)}
t₁₇, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₈, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₈, X₁: X₃ {O(n)}
t₁₈, X₂: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: 1 {O(1)}
t₁₈, X₅: 4⋅X₃ {O(n)}
t₁₈, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₉, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₉, X₁: X₃ {O(n)}
t₁₉, X₂: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₉, X₃: X₃ {O(n)}
t₁₉, X₄: 1 {O(1)}
t₁₉, X₅: 4⋅X₃ {O(n)}
t₁₉, X₆: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₂₀, X₀: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₂₀, X₁: X₃ {O(n)}
t₂₀, X₂: 6⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₂₀, X₃: X₃ {O(n)}
t₂₀, X₄: 1 {O(1)}
t₂₀, X₅: 4⋅X₃ {O(n)}
t₂₀, X₆: 0 {O(1)}
t₂₁, X₀: 6⋅X₃⋅X₃+6⋅X₃+X₀ {O(n^2)}
t₂₁, X₁: 3⋅X₃+X₁ {O(n)}
t₂₁, X₂: 18⋅X₃⋅X₃+18⋅X₃+X₂ {O(n^2)}
t₂₁, X₃: 4⋅X₃ {O(n)}
t₂₁, X₄: X₄+3 {O(n)}
t₂₁, X₅: 12⋅X₃+X₅ {O(n)}
t₂₁, X₆: 4⋅X₃⋅X₃+4⋅X₃+X₆ {O(n^2)}