Initial Problem
Start: eval_perfect_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: 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_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₁, X₃, X₁) :|: 2 ≤ X₁
t₁: eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 1
t₃: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb2_in(X₂-1, X₁, X₂, X₁, X₄) :|: 2 ≤ X₂
t₄: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ 1
t₅: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃
t₆: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀
t₇: eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb2_in(X₀, X₁, X₂, X₃-X₀, X₄)
t₈: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄-X₀) :|: 0 ≤ X₃ ∧ X₃ ≤ 0
t₉: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₃ ≤ 0
t₁₀: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1 ≤ X₃
t₁₁: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₄ ≤ 0
t₁₂: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄
t₁₃: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₄: eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_perfect_start(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄)
Preprocessing
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_perfect_bb1_in
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_perfect_bb5_in
Found invariant X₄ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb2_in
Found invariant X₄ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb3_in
Found invariant X₄ ≤ X₁ ∧ 2+X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb4_in
Problem after Preprocessing
Start: eval_perfect_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: 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_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₁, X₃, X₁) :|: 2 ≤ X₁
t₁: eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 1
t₃: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb2_in(X₂-1, X₁, X₂, X₁, X₄) :|: 2 ≤ X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₄: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₅: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁
t₆: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁
t₇: eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb2_in(X₀, X₁, X₂, X₃-X₀, X₄) :|: X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁
t₈: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄-X₀) :|: 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2+X₃ ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₉: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2+X₃ ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₁₀: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1 ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2+X₃ ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₁₁: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₄ ≤ 0 ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ X₄ ≤ X₁
t₁₂: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ X₄ ≤ X₁
t₁₃: eval_perfect_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ X₄ ≤ X₁
t₁₄: eval_perfect_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_perfect_start(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb0_in(X₀, X₁, X₂, X₃, X₄)
MPRF for transition t₃: eval_perfect_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb2_in(X₂-1, X₁, X₂, X₁, X₄) :|: 2 ≤ X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• eval_perfect_bb1_in: [X₂]
• eval_perfect_bb2_in: [X₀]
• eval_perfect_bb3_in: [X₀]
• eval_perfect_bb4_in: [X₂-1]
MPRF for transition t₆: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• eval_perfect_bb1_in: [X₂-1]
• eval_perfect_bb2_in: [X₀]
• eval_perfect_bb3_in: [1+2⋅X₀-X₂]
• eval_perfect_bb4_in: [X₀-1]
MPRF for transition t₈: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄-X₀) :|: 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2+X₃ ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• eval_perfect_bb1_in: [X₂]
• eval_perfect_bb2_in: [X₂]
• eval_perfect_bb3_in: [X₂]
• eval_perfect_bb4_in: [1+X₀]
MPRF for transition t₉: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2+X₃ ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• eval_perfect_bb1_in: [X₂-1]
• eval_perfect_bb2_in: [X₀]
• eval_perfect_bb3_in: [X₂-1]
• eval_perfect_bb4_in: [X₂-1]
MPRF for transition t₁₀: eval_perfect_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1 ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2+X₃ ≤ X₁ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 2+X₃ ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
2⋅X₁ {O(n)}
MPRF:
• eval_perfect_bb1_in: [X₁+X₂]
• eval_perfect_bb2_in: [X₁+X₂]
• eval_perfect_bb3_in: [X₁+X₂]
• eval_perfect_bb4_in: [1+X₀+X₁]
MPRF for transition t₅: eval_perfect_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂ ∧ 2 ≤ X₂+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
8⋅X₁⋅X₁+12⋅X₁+4 {O(n^2)}
MPRF:
• eval_perfect_bb1_in: [2+X₁-X₂]
• eval_perfect_bb2_in: [1+X₃-X₀]
• eval_perfect_bb3_in: [1+X₃-2⋅X₀]
• eval_perfect_bb4_in: [X₃-X₀]
MPRF for transition t₇: eval_perfect_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect_bb2_in(X₀, X₁, X₂, X₃-X₀, X₄) :|: X₂ ≤ 1+X₀ ∧ X₂ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
12⋅X₁⋅X₁+6⋅X₁ {O(n^2)}
MPRF:
• eval_perfect_bb1_in: [2⋅X₁+X₂]
• eval_perfect_bb2_in: [X₀+X₁+X₃-2]
• eval_perfect_bb3_in: [X₁+X₃-1]
• eval_perfect_bb4_in: [X₀+X₁+X₃-2]
Cut unsatisfiable transition [t₆: eval_perfect_bb2_in→eval_perfect_bb4_in; t₇₈: eval_perfect_bb2_in→eval_perfect_bb4_in]
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_perfect_bb1_in
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_perfect_bb5_in
Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb2_in
Found invariant X₄ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb3_in_v2
Found invariant X₄ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb2_in_v1
Found invariant X₄ ≤ X₁ ∧ 2+X₃ ≤ X₂ ∧ 2+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb4_in
Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 2 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_perfect_bb3_in_v1
Cut unsatisfiable transition [t₉: eval_perfect_bb4_in→eval_perfect_bb1_in]
All Bounds
Timebounds
Overall timebound:20⋅X₁⋅X₁+24⋅X₁+14 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₁ {O(n)}
t₄: 1 {O(1)}
t₅: 8⋅X₁⋅X₁+12⋅X₁+4 {O(n^2)}
t₆: X₁+1 {O(n)}
t₇: 12⋅X₁⋅X₁+6⋅X₁ {O(n^2)}
t₈: X₁ {O(n)}
t₉: X₁+1 {O(n)}
t₁₀: 2⋅X₁ {O(n)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
Costbounds
Overall costbound: 20⋅X₁⋅X₁+24⋅X₁+14 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₁ {O(n)}
t₄: 1 {O(1)}
t₅: 8⋅X₁⋅X₁+12⋅X₁+4 {O(n^2)}
t₆: X₁+1 {O(n)}
t₇: 12⋅X₁⋅X₁+6⋅X₁ {O(n^2)}
t₈: X₁ {O(n)}
t₉: X₁+1 {O(n)}
t₁₀: 2⋅X₁ {O(n)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 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)}
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)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₁ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₁ {O(n)}
t₃, X₀: X₁ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: 4⋅X₁ {O(n)}
t₃, X₃: 4⋅X₁ {O(n)}
t₃, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₄, X₀: X₁ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: 1 {O(1)}
t₄, X₃: 0 {O(1)}
t₄, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₅, X₀: X₁ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: 4⋅X₁ {O(n)}
t₅, X₃: 4⋅X₁ {O(n)}
t₅, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₆, X₀: X₁ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: 4⋅X₁ {O(n)}
t₆, X₃: 4⋅X₁ {O(n)}
t₆, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₇, X₀: X₁ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: 4⋅X₁ {O(n)}
t₇, X₃: 4⋅X₁ {O(n)}
t₇, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₈, X₀: X₁ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₁ {O(n)}
t₈, X₃: 0 {O(1)}
t₈, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₉, X₀: X₁ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₁ {O(n)}
t₉, X₃: 4⋅X₁ {O(n)}
t₉, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₁₀, X₀: X₁ {O(n)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: X₁ {O(n)}
t₁₀, X₃: 4⋅X₁ {O(n)}
t₁₀, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₁₁, X₀: X₁ {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: 1 {O(1)}
t₁₁, X₃: 0 {O(1)}
t₁₁, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₁₂, X₀: X₁ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: 1 {O(1)}
t₁₂, X₃: 0 {O(1)}
t₁₂, X₄: X₁⋅X₁+2⋅X₁ {O(n^2)}
t₁₃, X₀: X₁ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: 1 {O(1)}
t₁₃, X₃: 0 {O(1)}
t₁₃, X₄: 0 {O(1)}
t₁₄, X₀: 3⋅X₁+X₀ {O(n)}
t₁₄, X₁: 4⋅X₁ {O(n)}
t₁₄, X₂: X₂+3 {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: 2⋅X₁⋅X₁+4⋅X₁+X₄ {O(n^2)}