Initial Problem
Start: eval_perfect2_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_perfect2_bb0_in, eval_perfect2_bb1_in, eval_perfect2_bb2_in, eval_perfect2_bb3_in, eval_perfect2_bb4_in, eval_perfect2_bb5_in, eval_perfect2_bb6_in, eval_perfect2_start, eval_perfect2_stop
Transitions:
t₂: eval_perfect2_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb1_in(X₀, X₁, X₁, X₃, X₁) :|: 1 ≤ X₁
t₁: eval_perfect2_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 0
t₃: eval_perfect2_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₂
t₄: eval_perfect2_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb4_in(X₂-1, X₁, X₂, X₁, X₄) :|: X₂ ≤ 0
t₅: eval_perfect2_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb4_in(X₂-1, X₁, X₂, X₁, X₄) :|: 2 ≤ X₂
t₆: eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₄ ≤ 0
t₇: eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄
t₈: eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₄ ∧ X₄ ≤ 0
t₉: eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_stop(X₀, X₁, X₂, X₃, X₄)
t₁₀: eval_perfect2_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃
t₁₁: eval_perfect2_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀
t₁₂: eval_perfect2_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb4_in(X₀, X₁, X₂, X₃-X₀, X₄)
t₁₃: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb1_in(X₀, X₁, X₀, X₃, X₄-X₀) :|: 0 ≤ X₃ ∧ X₃ ≤ 0
t₁₄: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₃ ≤ 0
t₁₅: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb1_in(X₀, X₁, X₀, X₃, X₄) :|: 1 ≤ X₃
t₀: eval_perfect2_start(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb0_in(X₀, X₁, X₂, X₃, X₄)
Preprocessing
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_perfect2_bb1_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_perfect2_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_perfect2_bb4_in
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_perfect2_bb2_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_perfect2_bb6_in
Cut unsatisfiable transition [t₄: eval_perfect2_bb1_in→eval_perfect2_bb4_in]
Problem after Preprocessing
Start: eval_perfect2_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_perfect2_bb0_in, eval_perfect2_bb1_in, eval_perfect2_bb2_in, eval_perfect2_bb3_in, eval_perfect2_bb4_in, eval_perfect2_bb5_in, eval_perfect2_bb6_in, eval_perfect2_start, eval_perfect2_stop
Transitions:
t₂: eval_perfect2_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb1_in(X₀, X₁, X₁, X₃, X₁) :|: 1 ≤ X₁
t₁: eval_perfect2_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 0
t₃: eval_perfect2_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ 1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₅: eval_perfect2_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb4_in(X₂-1, X₁, X₂, X₁, X₄) :|: 2 ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₆: eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₄ ≤ 0 ∧ X₂ ≤ 1 ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₇: eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ X₂ ≤ 1 ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₈: eval_perfect2_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ X₂ ≤ 1 ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₉: eval_perfect2_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_stop(X₀, X₁, X₂, X₃, X₄)
t₁₀: eval_perfect2_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb5_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
t₁₁: eval_perfect2_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb6_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
t₁₂: eval_perfect2_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb4_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
t₁₃: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_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
t₁₄: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_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
t₁₅: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_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
t₀: eval_perfect2_start(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb0_in(X₀, X₁, X₂, X₃, X₄)
MPRF for transition t₅: eval_perfect2_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb4_in(X₂-1, X₁, X₂, X₁, X₄) :|: 2 ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• eval_perfect2_bb1_in: [X₂]
• eval_perfect2_bb4_in: [X₀]
• eval_perfect2_bb5_in: [X₀]
• eval_perfect2_bb6_in: [X₀]
MPRF for transition t₁₁: eval_perfect2_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb6_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_perfect2_bb1_in: [X₂-1]
• eval_perfect2_bb4_in: [X₀]
• eval_perfect2_bb5_in: [X₂-1]
• eval_perfect2_bb6_in: [X₀-1]
MPRF for transition t₁₃: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_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+1 {O(n)}
MPRF:
• eval_perfect2_bb1_in: [X₂-1]
• eval_perfect2_bb4_in: [X₀]
• eval_perfect2_bb5_in: [X₂-1]
• eval_perfect2_bb6_in: [X₀]
MPRF for transition t₁₄: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_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_perfect2_bb1_in: [X₂-1]
• eval_perfect2_bb4_in: [X₀]
• eval_perfect2_bb5_in: [X₂-1]
• eval_perfect2_bb6_in: [X₂-1]
MPRF for transition t₁₅: eval_perfect2_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_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:
X₁+1 {O(n)}
MPRF:
• eval_perfect2_bb1_in: [X₂-1]
• eval_perfect2_bb4_in: [X₀]
• eval_perfect2_bb5_in: [X₀]
• eval_perfect2_bb6_in: [X₂-1]
MPRF for transition t₁₀: eval_perfect2_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb5_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:
6⋅X₁⋅X₁+14⋅X₁+8 {O(n^2)}
MPRF:
• eval_perfect2_bb1_in: [2+X₁-X₂]
• eval_perfect2_bb4_in: [1+X₃-X₀]
• eval_perfect2_bb5_in: [X₃-X₀]
• eval_perfect2_bb6_in: [X₃-X₀]
MPRF for transition t₁₂: eval_perfect2_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_perfect2_bb4_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:
6⋅X₁⋅X₁+8⋅X₁ {O(n^2)}
MPRF:
• eval_perfect2_bb1_in: [X₁+X₂]
• eval_perfect2_bb4_in: [X₀+X₃-1]
• eval_perfect2_bb5_in: [X₃]
• eval_perfect2_bb6_in: [X₀+X₃-1]
Cut unsatisfiable transition [t₁₁: eval_perfect2_bb4_in→eval_perfect2_bb6_in; t₁₀₀: eval_perfect2_bb4_in→eval_perfect2_bb6_in]
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_perfect2_bb1_in
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_perfect2_bb4_in_v1
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_perfect2_bb5_in_v2
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_perfect2_bb5_in_v1
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_perfect2_bb4_in
Found invariant X₄ ≤ X₁ ∧ X₂ ≤ 1 ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_perfect2_bb2_in
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_perfect2_bb6_in
Cut unsatisfiable transition [t₁₄: eval_perfect2_bb6_in→eval_perfect2_bb1_in]
All Bounds
Timebounds
Overall timebound:12⋅X₁⋅X₁+27⋅X₁+20 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₅: X₁ {O(n)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 6⋅X₁⋅X₁+14⋅X₁+8 {O(n^2)}
t₁₁: X₁+1 {O(n)}
t₁₂: 6⋅X₁⋅X₁+8⋅X₁ {O(n^2)}
t₁₃: X₁+1 {O(n)}
t₁₄: X₁+1 {O(n)}
t₁₅: X₁+1 {O(n)}
Costbounds
Overall costbound: 12⋅X₁⋅X₁+27⋅X₁+20 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₅: X₁ {O(n)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 6⋅X₁⋅X₁+14⋅X₁+8 {O(n^2)}
t₁₁: X₁+1 {O(n)}
t₁₂: 6⋅X₁⋅X₁+8⋅X₁ {O(n^2)}
t₁₃: X₁+1 {O(n)}
t₁₄: X₁+1 {O(n)}
t₁₅: X₁+1 {O(n)}
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: X₀+X₁ {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₃, X₂: 1 {O(1)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₁⋅X₁+4⋅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+3⋅X₁ {O(n^2)}
t₆, X₀: X₀+X₁ {O(n)}
t₆, X₁: 2⋅X₁ {O(n)}
t₆, X₂: 1 {O(1)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₁⋅X₁+4⋅X₁ {O(n^2)}
t₇, X₀: X₀+X₁ {O(n)}
t₇, X₁: 2⋅X₁ {O(n)}
t₇, X₂: 1 {O(1)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₁⋅X₁+4⋅X₁ {O(n^2)}
t₈, X₀: X₀+X₁ {O(n)}
t₈, X₁: 2⋅X₁ {O(n)}
t₈, X₂: 1 {O(1)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: 0 {O(1)}
t₉, X₀: 3⋅X₁+4⋅X₀ {O(n)}
t₉, X₁: 7⋅X₁ {O(n)}
t₉, X₂: X₂+3 {O(n)}
t₉, X₃: 4⋅X₃ {O(n)}
t₉, X₄: 2⋅X₁⋅X₁+8⋅X₁+X₄ {O(n^2)}
t₁₀, X₀: X₁ {O(n)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: 4⋅X₁ {O(n)}
t₁₀, X₃: 4⋅X₁ {O(n)}
t₁₀, X₄: X₁⋅X₁+3⋅X₁ {O(n^2)}
t₁₁, X₀: X₁ {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: 4⋅X₁ {O(n)}
t₁₁, X₃: 4⋅X₁ {O(n)}
t₁₁, X₄: X₁⋅X₁+3⋅X₁ {O(n^2)}
t₁₂, X₀: X₁ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: 4⋅X₁ {O(n)}
t₁₂, X₃: 4⋅X₁ {O(n)}
t₁₂, X₄: X₁⋅X₁+3⋅X₁ {O(n^2)}
t₁₃, X₀: X₁ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: X₁ {O(n)}
t₁₃, X₃: 0 {O(1)}
t₁₃, X₄: X₁⋅X₁+3⋅X₁ {O(n^2)}
t₁₄, X₀: X₁ {O(n)}
t₁₄, X₁: X₁ {O(n)}
t₁₄, X₂: X₁ {O(n)}
t₁₄, X₃: 4⋅X₁ {O(n)}
t₁₄, X₄: X₁⋅X₁+3⋅X₁ {O(n^2)}
t₁₅, X₀: X₁ {O(n)}
t₁₅, X₁: X₁ {O(n)}
t₁₅, X₂: X₁ {O(n)}
t₁₅, X₃: 4⋅X₁ {O(n)}
t₁₅, X₄: X₁⋅X₁+3⋅X₁ {O(n^2)}