Initial Problem
Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: evalfbb2in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₁₃: evalfbb2in(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, 1+X₃, X₄)
t₉: evalfbb3in(X₀, X₁, X₂, X₃, X₄) → evalfbb4in(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁
t₈: evalfbb3in(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₃
t₁₀: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0
t₁₁: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ F
t₁₂: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄)
t₁₄: evalfbb5in(X₀, X₁, X₂, X₃, X₄) → evalfbb6in(X₀, X₁, X₂, X₀-1, X₃)
t₁₅: evalfbb6in(X₀, X₁, X₂, X₃, X₄) → evalfbb7in(X₃, X₁, X₄-1, X₃, X₄)
t₂: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfbbin(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂
t₃: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0
t₄: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ 0
t₅: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, X₂, X₄) :|: 1+F ≤ 0
t₆: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, X₂, X₄) :|: 1 ≤ F
t₇: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb6in(X₀, X₁, X₂, X₀, X₂)
t₁: evalfentryin(X₀, X₁, X₂, X₃, X₄) → evalfbb7in(X₁, X₁, 0, X₃, X₄)
t₁₆: evalfreturnin(X₀, X₁, X₂, X₃, X₄) → evalfstop(X₀, X₁, X₂, X₃, X₄)
t₀: evalfstart(X₀, X₁, X₂, X₃, X₄) → evalfentryin(X₀, X₁, X₂, X₃, X₄)
Preprocessing
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb5in
Found invariant 0 ≤ 1+X₂ ∧ X₀ ≤ X₁ for location evalfreturnin
Found invariant X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb2in
Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbbin
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb3in
Found invariant 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb6in
Found invariant 0 ≤ 1+X₂ ∧ X₀ ≤ X₁ for location evalfbb7in
Found invariant 0 ≤ 1+X₂ ∧ X₀ ≤ X₁ for location evalfstop
Found invariant X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb4in
Problem after Preprocessing
Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: evalfbb2in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₁₃: evalfbb2in(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, 1+X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₉: evalfbb3in(X₀, X₁, X₂, X₃, X₄) → evalfbb4in(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₈: evalfbb3in(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₁: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ F ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₂: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₄: evalfbb5in(X₀, X₁, X₂, X₃, X₄) → evalfbb6in(X₀, X₁, X₂, X₀-1, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₅: evalfbb6in(X₀, X₁, X₂, X₃, X₄) → evalfbb7in(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₄
t₂: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfbbin(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 1+X₂ ∧ X₀ ≤ X₁
t₃: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0 ∧ 0 ≤ 1+X₂ ∧ X₀ ≤ X₁
t₄: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ 0 ∧ 0 ≤ 1+X₂ ∧ X₀ ≤ X₁
t₅: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, X₂, X₄) :|: 1+F ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₆: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, X₂, X₄) :|: 1 ≤ F ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₇: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb6in(X₀, X₁, X₂, X₀, X₂) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₁: evalfentryin(X₀, X₁, X₂, X₃, X₄) → evalfbb7in(X₁, X₁, 0, X₃, X₄)
t₁₆: evalfreturnin(X₀, X₁, X₂, X₃, X₄) → evalfstop(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ 1+X₂ ∧ X₀ ≤ X₁
t₀: evalfstart(X₀, X₁, X₂, X₃, X₄) → evalfentryin(X₀, X₁, X₂, X₃, X₄)
MPRF for transition t₅: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, X₂, X₄) :|: 1+F ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalfbb2in: [X₀]
• evalfbb3in: [X₀]
• evalfbb4in: [X₀]
• evalfbb5in: [X₀]
• evalfbb6in: [1+X₃]
• evalfbb7in: [1+X₀]
• evalfbbin: [1+X₀]
MPRF for transition t₆: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, X₂, X₄) :|: 1 ≤ F ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalfbb2in: [X₀]
• evalfbb3in: [X₀]
• evalfbb4in: [X₀]
• evalfbb5in: [X₀]
• evalfbb6in: [1+X₃]
• evalfbb7in: [1+X₀]
• evalfbbin: [1+X₀]
MPRF for transition t₈: evalfbb3in(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalfbb2in: [1+X₀]
• evalfbb3in: [1+X₀]
• evalfbb4in: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb6in: [1+X₃]
• evalfbb7in: [1+X₀]
• evalfbbin: [1+X₀]
MPRF for transition t₁₂: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalfbb2in: [1+X₀]
• evalfbb3in: [1+X₀]
• evalfbb4in: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb6in: [1+X₃]
• evalfbb7in: [1+X₀]
• evalfbbin: [1+X₀]
MPRF for transition t₁₄: evalfbb5in(X₀, X₁, X₂, X₃, X₄) → evalfbb6in(X₀, X₁, X₂, X₀-1, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalfbb2in: [1+X₀]
• evalfbb3in: [1+X₀]
• evalfbb4in: [1+X₀]
• evalfbb5in: [1+X₀]
• evalfbb6in: [1+X₃]
• evalfbb7in: [1+X₀]
• evalfbbin: [1+X₀]
MPRF for transition t₉: evalfbb3in(X₀, X₁, X₂, X₃, X₄) → evalfbb4in(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁⋅X₁+3⋅X₁+2 {O(n^2)}
MPRF:
• evalfbb2in: [X₁-X₃]
• evalfbb3in: [1+X₁-X₃]
• evalfbb4in: [X₁-X₃]
• evalfbb5in: [-2⋅X₁-X₃]
• evalfbb6in: [1+X₁]
• evalfbb7in: [1+X₁]
• evalfbbin: [1+X₁]
MPRF for transition t₁₀: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁⋅X₁+3⋅X₁+2 {O(n^2)}
MPRF:
• evalfbb2in: [X₁-X₃]
• evalfbb3in: [1+X₁-X₃]
• evalfbb4in: [1+X₁-X₃]
• evalfbb5in: [1+X₁-X₃]
• evalfbb6in: [1+X₁]
• evalfbb7in: [1+X₁]
• evalfbbin: [1+X₁]
MPRF for transition t₁₁: evalfbb4in(X₀, X₁, X₂, X₃, X₄) → evalfbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ F ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁⋅X₁+3⋅X₁+2 {O(n^2)}
MPRF:
• evalfbb2in: [X₁-X₃]
• evalfbb3in: [1+X₁-X₃]
• evalfbb4in: [1+X₁-X₃]
• evalfbb5in: [1+X₁-X₃]
• evalfbb6in: [1+X₁]
• evalfbb7in: [1+X₁]
• evalfbbin: [1+X₁]
MPRF for transition t₁₃: evalfbb2in(X₀, X₁, X₂, X₃, X₄) → evalfbb3in(X₀, X₁, X₂, 1+X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁⋅X₁+5⋅X₁+2 {O(n^2)}
MPRF:
• evalfbb2in: [1+X₁-X₃]
• evalfbb3in: [1+X₁-X₃]
• evalfbb4in: [1+X₁-X₃]
• evalfbb5in: [1+X₁-X₃]
• evalfbb6in: [1+2⋅X₁]
• evalfbb7in: [1+2⋅X₁]
• evalfbbin: [1+2⋅X₁]
MPRF for transition t₂: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfbbin(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 1+X₂ ∧ X₀ ≤ X₁ of depth 1:
new bound:
2⋅X₁⋅X₁⋅X₁+7⋅X₁⋅X₁+10⋅X₁+8 {O(n^3)}
MPRF:
• evalfbb2in: [2]
• evalfbb3in: [2]
• evalfbb4in: [2]
• evalfbb5in: [1]
• evalfbb6in: [2+X₄]
• evalfbb7in: [3+X₂]
• evalfbbin: [2+X₂]
MPRF for transition t₇: evalfbbin(X₀, X₁, X₂, X₃, X₄) → evalfbb6in(X₀, X₁, X₂, X₀, X₂) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂ of depth 1:
new bound:
2⋅X₁⋅X₁⋅X₁+7⋅X₁⋅X₁+8⋅X₁+4 {O(n^3)}
MPRF:
• evalfbb2in: [1]
• evalfbb3in: [1]
• evalfbb4in: [1]
• evalfbb5in: [1]
• evalfbb6in: [X₄]
• evalfbb7in: [1+X₂]
• evalfbbin: [1+X₂]
MPRF for transition t₁₅: evalfbb6in(X₀, X₁, X₂, X₃, X₄) → evalfbb7in(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
2⋅X₁⋅X₁⋅X₁+7⋅X₁⋅X₁+9⋅X₁+5 {O(n^3)}
MPRF:
• evalfbb2in: [1]
• evalfbb3in: [1]
• evalfbb4in: [1]
• evalfbb5in: [1]
• evalfbb6in: [1+X₄]
• evalfbb7in: [1+X₂]
• evalfbbin: [1+X₂]
Cut unreachable locations [evalfbb3in] from the program graph
Cut unsatisfiable transition [t₄: evalfbb7in→evalfreturnin; t₁₂₂: evalfbb7in→evalfreturnin]
Found invariant 1 ≤ 0 for location evalfbbin_v3
Found invariant X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbbin_v1
Found invariant X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb2in_v2
Found invariant X₃ ≤ 1+X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb3in_v2
Found invariant X₄ ≤ 1+X₂ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ 1+X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb7in_v3
Found invariant X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb6in_v2
Found invariant X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ 1+X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 2+X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 2+X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ 1+X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location evalfbb7in_v1
Found invariant X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb6in_v3
Found invariant X₃ ≤ 1+X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb5in
Found invariant 0 ≤ 1+X₂ ∧ X₀ ≤ X₁ for location evalfreturnin
Found invariant X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb3in_v1
Found invariant X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb5in_v1
Found invariant X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location evalfbb7in
Found invariant X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb4in_v2
Found invariant X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb5in_v2
Found invariant X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 0 ∧ X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb6in_v5
Found invariant X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb2in_v1
Found invariant X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb4in_v1
Found invariant X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbbin_v2
Found invariant X₄ ≤ 1+X₁ ∧ 1 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 2+X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb6in_v1
Found invariant X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb6in_v4
Found invariant 0 ≤ 1+X₂ ∧ X₀ ≤ X₁ for location evalfstop
Found invariant X₄ ≤ 1+X₂ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ 2+X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ 1+X₀+X₂ ∧ 1 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location evalfbb7in_v2
Found invariant X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 1+X₂+X₄ ≤ 0 ∧ X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalfbb7in_v4
Cut unsatisfiable transition [t₁₀₁: evalfbb3in_v1→evalfbb5in; t₁₃₀: evalfbb7in_v4→evalfbbin_v3; t₁₃₁: evalfbbin_v3→evalfbb6in_v5; t₁₃₂: evalfbbin_v3→evalfbb3in_v1; t₁₃₃: evalfbbin_v3→evalfbb3in_v1]
Cut unreachable locations [evalfbbin_v3] from the program graph
Analysing control-flow refined program
MPRF for transition t₉₃: evalfbb5in(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v1(X₀, X₁, X₂, X₀-1, X₃) :|: X₃ ≤ 1+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [1+X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [X₀]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [1+X₃]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₉₄: evalfbb6in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v1(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₄ ∧ 2+X₃ ≤ X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [1+X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [1+X₀]
• evalfbb6in_v1: [1+X₀]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [1+X₀]
• evalfbb6in_v4: [1+X₀]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [1+X₃]
• evalfbb7in_v3: [1+X₃]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₉₇: evalfbb7in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 2+X₀+X₂ ∧ 0 ≤ 2+X₀+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₁+X₃ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
2⋅X₁ {O(n)}
MPRF:
• evalfbb2in_v1: [X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [X₃]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [X₀]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [X₀]
• evalfbb7in_v3: [X₀]
• evalfbbin_v1: [X₀]
MPRF for transition t₉₉: evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v1(X₀, X₁, X₂, X₂, X₄) :|: 1 ≤ F ∧ X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁ {O(n)}
MPRF:
• evalfbb2in_v1: [X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [X₀]
• evalfbb6in_v2: [1+X₀]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [1+X₃]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [1+X₃]
• evalfbb7in_v3: [1+X₃]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₀₀: evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v1(X₀, X₁, X₂, X₂, X₄) :|: 1+F ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁ {O(n)}
MPRF:
• evalfbb2in_v1: [X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [X₀]
• evalfbb6in_v2: [1+X₀]
• evalfbb6in_v3: [1+X₃]
• evalfbb6in_v4: [1+X₃]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [1+X₀]
• evalfbb7in_v3: [1+X₃]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₀₂: evalfbb3in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [1+X₃]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [1+X₃]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₀₃: evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb5in_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
4⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀+X₁]
• evalfbb2in_v2: [1+X₀+X₁]
• evalfbb3in_v1: [1+X₀+X₁]
• evalfbb3in_v2: [1+X₀+X₁]
• evalfbb4in_v1: [1+X₀+X₁]
• evalfbb4in_v2: [1+X₀+X₁]
• evalfbb5in: [X₀+X₃-1]
• evalfbb5in_v1: [X₀+X₁]
• evalfbb5in_v2: [1+X₀+X₁]
• evalfbb6in_v1: [1+X₁+X₃]
• evalfbb6in_v2: [1+X₀+X₁]
• evalfbb6in_v3: [1+X₀+X₁]
• evalfbb6in_v4: [1+X₁+X₃]
• evalfbb7in_v1: [1+X₀+X₁]
• evalfbb7in_v2: [1+X₁+X₃]
• evalfbb7in_v3: [1+X₁+X₃]
• evalfbbin_v1: [1+X₀+X₁]
MPRF for transition t₁₀₄: evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ F ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [X₀]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [1+X₀]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₀₅: evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [X₀]
• evalfbb6in_v2: [1+X₀]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [1+X₀]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [1+X₃]
• evalfbb7in_v3: [1+X₃]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₀₆: evalfbb2in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v2(X₀, X₁, X₂, 1+X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₀]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [X₀]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [1+X₀]
• evalfbb7in_v3: [1+X₃]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₀₇: evalfbb3in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₃ ∧ X₃ ≤ 1+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [1+X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [1+X₀]
• evalfbb6in_v4: [1+X₀]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [1+X₃]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₀₉: evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb5in_v2(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [X₀]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [1+X₃]
• evalfbb6in_v4: [1+X₀]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [X₃+X₄-X₂]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₁₃: evalfbb5in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v3(X₀, X₁, X₂, X₀-1, X₃) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [1+X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [1+X₃]
• evalfbb6in_v4: [1+X₀]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [1+X₀]
• evalfbb7in_v3: [1+X₃]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₁₄: evalfbb6in_v3(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v2(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [X₀]
• evalfbb5in_v2: [1+X₀]
• evalfbb6in_v1: [X₀]
• evalfbb6in_v2: [1+X₀]
• evalfbb6in_v3: [1+X₀]
• evalfbb6in_v4: [X₀]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [1+X₀]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₃]
MPRF for transition t₁₁₆: evalfbb7in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 2+X₀+X₃ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [1+X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₀]
• evalfbb6in_v3: [2+X₃]
• evalfbb6in_v4: [1+X₀]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [2+X₃]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₁₇: evalfbb5in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v4(X₀, X₁, X₂, X₀-1, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [1+X₀]
• evalfbb2in_v2: [1+X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [1+X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [1+X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [1+X₀]
• evalfbb6in_v1: [X₀]
• evalfbb6in_v2: [1+X₃]
• evalfbb6in_v3: [1+X₀]
• evalfbb6in_v4: [1+X₃]
• evalfbb7in_v1: [1+X₀]
• evalfbb7in_v2: [X₀+X₄-X₂]
• evalfbb7in_v3: [1+X₃]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₁₁₈: evalfbb6in_v4(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v1(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
2⋅X₁+2 {O(n)}
MPRF:
• evalfbb2in_v1: [X₀]
• evalfbb2in_v2: [X₀]
• evalfbb3in_v1: [1+X₀]
• evalfbb3in_v2: [X₀]
• evalfbb4in_v1: [1+X₀]
• evalfbb4in_v2: [X₀]
• evalfbb5in: [X₀]
• evalfbb5in_v1: [1+X₀]
• evalfbb5in_v2: [X₀]
• evalfbb6in_v1: [1+X₃]
• evalfbb6in_v2: [1+X₀]
• evalfbb6in_v3: [X₀]
• evalfbb6in_v4: [2+X₃]
• evalfbb7in_v1: [1+X₃]
• evalfbb7in_v2: [1+X₃]
• evalfbb7in_v3: [1+X₀]
• evalfbbin_v1: [1+X₀]
MPRF for transition t₉₈: evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v2(X₀, X₁, X₂, X₀, X₂) :|: X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
MPRF:
• evalfbb2in_v1: [1+X₃]
• evalfbb2in_v2: [0]
• evalfbb3in_v1: [1+X₃]
• evalfbb3in_v2: [0]
• evalfbb4in_v1: [1+X₃]
• evalfbb4in_v2: [0]
• evalfbb5in: [1+X₁]
• evalfbb5in_v1: [X₂]
• evalfbb5in_v2: [0]
• evalfbb6in_v1: [1+X₁]
• evalfbb6in_v2: [X₂]
• evalfbb6in_v3: [0]
• evalfbb6in_v4: [X₄]
• evalfbb7in_v1: [1+X₂]
• evalfbb7in_v2: [X₁]
• evalfbb7in_v3: [1+X₂]
• evalfbbin_v1: [1+X₂]
MPRF for transition t₁₀₈: evalfbb3in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ X₃ ≤ 1+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
MPRF:
• evalfbb2in_v1: [X₀+X₁-X₃]
• evalfbb2in_v2: [X₀+X₁-X₃]
• evalfbb3in_v1: [X₀+X₁]
• evalfbb3in_v2: [1+X₀+X₁-X₃]
• evalfbb4in_v1: [X₀+X₁]
• evalfbb4in_v2: [X₀+X₁-X₃]
• evalfbb5in: [1+X₀+X₁]
• evalfbb5in_v1: [X₀+X₁]
• evalfbb5in_v2: [X₀+X₁-X₃]
• evalfbb6in_v1: [X₀+X₄]
• evalfbb6in_v2: [X₁+X₃]
• evalfbb6in_v3: [X₀+X₁-X₄]
• evalfbb6in_v4: [1+X₁+X₃]
• evalfbb7in_v1: [X₀+X₁]
• evalfbb7in_v2: [1+X₁+X₃-X₄]
• evalfbb7in_v3: [X₁+X₃]
• evalfbbin_v1: [X₀+X₁]
MPRF for transition t₁₁₀: evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v2(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ F ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
MPRF:
• evalfbb2in_v1: [X₀+X₁]
• evalfbb2in_v2: [X₀+X₁-X₃]
• evalfbb3in_v1: [X₀+X₁]
• evalfbb3in_v2: [1+X₀+X₁-X₃]
• evalfbb4in_v1: [X₀+X₁]
• evalfbb4in_v2: [1+X₀+X₁-X₃]
• evalfbb5in: [1+X₀+X₁]
• evalfbb5in_v1: [X₀+X₁]
• evalfbb5in_v2: [X₀+X₁-X₃]
• evalfbb6in_v1: [X₀+X₄]
• evalfbb6in_v2: [X₀+X₁]
• evalfbb6in_v3: [X₀+X₁-X₄]
• evalfbb6in_v4: [X₀+X₁]
• evalfbb7in_v1: [X₀+X₁]
• evalfbb7in_v2: [1+X₀+X₁-X₄]
• evalfbb7in_v3: [1+X₁+X₂+X₃-X₄]
• evalfbbin_v1: [X₀+X₁]
MPRF for transition t₁₁₁: evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v2(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
16⋅X₁⋅X₁+24⋅X₁+4 {O(n^2)}
MPRF:
• evalfbb2in_v1: [X₀+X₁]
• evalfbb2in_v2: [X₀+X₁-X₃]
• evalfbb3in_v1: [X₀+X₁]
• evalfbb3in_v2: [1+X₀+X₁-X₃]
• evalfbb4in_v1: [X₀+X₁]
• evalfbb4in_v2: [1+X₀+X₁-X₃]
• evalfbb5in: [X₀+X₁]
• evalfbb5in_v1: [X₀+X₁]
• evalfbb5in_v2: [1+X₀+X₁-X₃]
• evalfbb6in_v1: [1+X₁+X₃]
• evalfbb6in_v2: [X₁+X₂+X₃-X₄]
• evalfbb6in_v3: [1+X₀+X₁-X₄]
• evalfbb6in_v4: [X₀+X₁]
• evalfbb7in_v1: [1+X₁+X₂+X₃-X₄]
• evalfbb7in_v2: [1+X₁+X₃-X₄]
• evalfbb7in_v3: [X₀+X₁]
• evalfbbin_v1: [X₀+X₁]
MPRF for transition t₁₁₂: evalfbb2in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v2(X₀, X₁, X₂, 1+X₃, X₄) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
MPRF:
• evalfbb2in_v1: [X₀+X₁]
• evalfbb2in_v2: [1+X₀+X₁-X₃]
• evalfbb3in_v1: [X₀+X₁]
• evalfbb3in_v2: [1+X₀+X₁-X₃]
• evalfbb4in_v1: [X₀+X₁]
• evalfbb4in_v2: [1+X₀+X₁-X₃]
• evalfbb5in: [X₀+X₁]
• evalfbb5in_v1: [X₀+X₁]
• evalfbb5in_v2: [X₀+X₁-X₃]
• evalfbb6in_v1: [X₃+X₄]
• evalfbb6in_v2: [X₀+X₁]
• evalfbb6in_v3: [X₀+X₁-X₄]
• evalfbb6in_v4: [1+X₁+X₃]
• evalfbb7in_v1: [1+X₁+X₂+X₃-X₄]
• evalfbb7in_v2: [1+X₀+X₁-X₄]
• evalfbb7in_v3: [X₀+X₁]
• evalfbbin_v1: [X₁+X₃]
MPRF for transition t₁₁₉: evalfbb6in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v3(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
MPRF:
• evalfbb2in_v1: [1+X₂]
• evalfbb2in_v2: [1]
• evalfbb3in_v1: [1+X₃]
• evalfbb3in_v2: [1]
• evalfbb4in_v1: [1+X₃]
• evalfbb4in_v2: [1]
• evalfbb5in: [1+X₁]
• evalfbb5in_v1: [X₃]
• evalfbb5in_v2: [1]
• evalfbb6in_v1: [1+X₁]
• evalfbb6in_v2: [1+X₂]
• evalfbb6in_v3: [X₀-X₃]
• evalfbb6in_v4: [X₂]
• evalfbb7in_v1: [X₄]
• evalfbb7in_v2: [X₁]
• evalfbb7in_v3: [X₄]
• evalfbbin_v1: [X₄]
MPRF for transition t₁₂₁: evalfbb7in_v3(X₀, X₁, X₂, X₃, X₄) → evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
MPRF:
• evalfbb2in_v1: [1+X₂]
• evalfbb2in_v2: [0]
• evalfbb3in_v1: [1+X₃]
• evalfbb3in_v2: [0]
• evalfbb4in_v1: [1+X₃]
• evalfbb4in_v2: [0]
• evalfbb5in: [1+X₁]
• evalfbb5in_v1: [X₃]
• evalfbb5in_v2: [0]
• evalfbb6in_v1: [1+X₁]
• evalfbb6in_v2: [1+X₂]
• evalfbb6in_v3: [0]
• evalfbb6in_v4: [X₂]
• evalfbb7in_v1: [1+X₂]
• evalfbb7in_v2: [X₁]
• evalfbb7in_v3: [1+X₄]
• evalfbbin_v1: [1+X₂]
CFR: Improvement to new bound with the following program:
method: PartialEvaluation new bound:
O(n^2)
cfr-program:
Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: evalfbb2in_v1, evalfbb2in_v2, evalfbb3in_v1, evalfbb3in_v2, evalfbb4in_v1, evalfbb4in_v2, evalfbb5in, evalfbb5in_v1, evalfbb5in_v2, evalfbb6in_v1, evalfbb6in_v2, evalfbb6in_v3, evalfbb6in_v4, evalfbb6in_v5, evalfbb7in, evalfbb7in_v1, evalfbb7in_v2, evalfbb7in_v3, evalfbb7in_v4, evalfbbin_v1, evalfbbin_v2, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₁₀₆: evalfbb2in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v2(X₀, X₁, X₂, 1+X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₁₂: evalfbb2in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v2(X₀, X₁, X₂, 1+X₃, X₄) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀₂: evalfbb3in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀₈: evalfbb3in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ X₃ ≤ 1+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀₇: evalfbb3in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb5in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₃ ∧ X₃ ≤ 1+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀₄: evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ F ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀₅: evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀₃: evalfbb4in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb5in_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₁₀: evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v2(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ F ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₁₁: evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb2in_v2(X₀, X₁, X₂, X₃, X₄) :|: 1+F ≤ 0 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₀₉: evalfbb4in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb5in_v2(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₉₃: evalfbb5in(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v1(X₀, X₁, X₂, X₀-1, X₃) :|: X₃ ≤ 1+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₁₇: evalfbb5in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v4(X₀, X₁, X₂, X₀-1, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₁₃: evalfbb5in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v3(X₀, X₁, X₂, X₀-1, X₃) :|: 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₉₄: evalfbb6in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v1(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₄ ∧ 2+X₃ ≤ X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₁₁₉: evalfbb6in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v3(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₁₁₄: evalfbb6in_v3(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v2(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1 ≤ X₀+X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₁₁₈: evalfbb6in_v4(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v1(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₄
t₁₂₈: evalfbb6in_v5(X₀, X₁, X₂, X₃, X₄) → evalfbb7in_v4(X₃, X₁, X₄-1, X₃, X₄) :|: 0 ≤ 1+X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂+X₄ ≤ 0 ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₂₄: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfbbin_v2(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 1+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₂ ≤ 0
t₃: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0 ∧ 0 ≤ 1+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₂₃: evalfbb7in(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0 ∧ 0 ≤ 1+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₉₇: evalfbb7in_v1(X₀, X₁, X₂, X₃, X₄) → evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 2+X₀+X₂ ∧ 0 ≤ 2+X₀+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₁+X₃ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₄
t₉₅: evalfbb7in_v1(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ 0 ∧ 0 ≤ 2+X₀+X₂ ∧ 0 ≤ 2+X₀+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₁+X₃ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₄
t₉₆: evalfbb7in_v1(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0 ∧ 0 ≤ 2+X₀+X₂ ∧ 0 ≤ 2+X₀+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₁ ∧ 0 ≤ 1+X₀+X₄ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₁+X₃ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₄
t₁₁₆: evalfbb7in_v2(X₀, X₁, X₂, X₃, X₄) → evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 2+X₀+X₃ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₁₁₅: evalfbb7in_v2(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0 ∧ 0 ≤ 2+X₀+X₃ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₁₂₁: evalfbb7in_v3(X₀, X₁, X₂, X₃, X₄) → evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₁₂₀: evalfbb7in_v3(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₂ ≤ X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₁₂₉: evalfbb7in_v4(X₀, X₁, X₂, X₃, X₄) → evalfreturnin(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ 0 ∧ 0 ≤ 1+X₀ ∧ 0 ≤ 1+X₀+X₂ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₃ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ 1+X₃ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂+X₄ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₉₉: evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v1(X₀, X₁, X₂, X₂, X₄) :|: 1 ≤ F ∧ X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁₀₀: evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v1(X₀, X₁, X₂, X₂, X₄) :|: 1+F ≤ 0 ∧ X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₉₈: evalfbbin_v1(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v2(X₀, X₁, X₂, X₀, X₂) :|: X₄ ≤ 1+X₁ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₃
t₁₂₆: evalfbbin_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v1(X₀, X₁, X₂, X₂, X₄) :|: 1 ≤ F ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₂₇: evalfbbin_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb3in_v1(X₀, X₁, X₂, X₂, X₄) :|: 1+F ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₂₅: evalfbbin_v2(X₀, X₁, X₂, X₃, X₄) → evalfbb6in_v5(X₀, X₁, X₂, X₀, X₂) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁: evalfentryin(X₀, X₁, X₂, X₃, X₄) → evalfbb7in(X₁, X₁, 0, X₃, X₄)
t₁₆: evalfreturnin(X₀, X₁, X₂, X₃, X₄) → evalfstop(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ 1+X₂ ∧ X₀ ≤ X₁
t₀: evalfstart(X₀, X₁, X₂, X₃, X₄) → evalfentryin(X₀, X₁, X₂, X₃, X₄)
All Bounds
Timebounds
Overall timebound:88⋅X₁⋅X₁+168⋅X₁+77 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₃: 1 {O(1)}
t₁₆: 1 {O(1)}
t₉₃: 2⋅X₁+2 {O(n)}
t₉₄: 2⋅X₁+2 {O(n)}
t₉₅: 1 {O(1)}
t₉₆: 1 {O(1)}
t₉₇: 2⋅X₁ {O(n)}
t₉₈: 8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
t₉₉: 2⋅X₁ {O(n)}
t₁₀₀: 2⋅X₁ {O(n)}
t₁₀₂: 2⋅X₁+2 {O(n)}
t₁₀₃: 4⋅X₁+2 {O(n)}
t₁₀₄: 2⋅X₁+2 {O(n)}
t₁₀₅: 2⋅X₁+2 {O(n)}
t₁₀₆: 2⋅X₁+2 {O(n)}
t₁₀₇: 2⋅X₁+2 {O(n)}
t₁₀₈: 16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
t₁₀₉: 2⋅X₁+2 {O(n)}
t₁₁₀: 16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
t₁₁₁: 16⋅X₁⋅X₁+24⋅X₁+4 {O(n^2)}
t₁₁₂: 16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
t₁₁₃: 2⋅X₁+2 {O(n)}
t₁₁₄: 2⋅X₁+2 {O(n)}
t₁₁₅: 1 {O(1)}
t₁₁₆: 2⋅X₁+2 {O(n)}
t₁₁₇: 2⋅X₁+2 {O(n)}
t₁₁₈: 2⋅X₁+2 {O(n)}
t₁₁₉: 8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
t₁₂₀: 1 {O(1)}
t₁₂₁: 8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
t₁₂₃: 1 {O(1)}
t₁₂₄: 1 {O(1)}
t₁₂₅: 1 {O(1)}
t₁₂₆: 1 {O(1)}
t₁₂₇: 1 {O(1)}
t₁₂₈: 1 {O(1)}
t₁₂₉: 1 {O(1)}
Costbounds
Overall costbound: 88⋅X₁⋅X₁+168⋅X₁+77 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₃: 1 {O(1)}
t₁₆: 1 {O(1)}
t₉₃: 2⋅X₁+2 {O(n)}
t₉₄: 2⋅X₁+2 {O(n)}
t₉₅: 1 {O(1)}
t₉₆: 1 {O(1)}
t₉₇: 2⋅X₁ {O(n)}
t₉₈: 8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
t₉₉: 2⋅X₁ {O(n)}
t₁₀₀: 2⋅X₁ {O(n)}
t₁₀₂: 2⋅X₁+2 {O(n)}
t₁₀₃: 4⋅X₁+2 {O(n)}
t₁₀₄: 2⋅X₁+2 {O(n)}
t₁₀₅: 2⋅X₁+2 {O(n)}
t₁₀₆: 2⋅X₁+2 {O(n)}
t₁₀₇: 2⋅X₁+2 {O(n)}
t₁₀₈: 16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
t₁₀₉: 2⋅X₁+2 {O(n)}
t₁₁₀: 16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
t₁₁₁: 16⋅X₁⋅X₁+24⋅X₁+4 {O(n^2)}
t₁₁₂: 16⋅X₁⋅X₁+26⋅X₁+6 {O(n^2)}
t₁₁₃: 2⋅X₁+2 {O(n)}
t₁₁₄: 2⋅X₁+2 {O(n)}
t₁₁₅: 1 {O(1)}
t₁₁₆: 2⋅X₁+2 {O(n)}
t₁₁₇: 2⋅X₁+2 {O(n)}
t₁₁₈: 2⋅X₁+2 {O(n)}
t₁₁₉: 8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
t₁₂₀: 1 {O(1)}
t₁₂₁: 8⋅X₁⋅X₁+10⋅X₁+4 {O(n^2)}
t₁₂₃: 1 {O(1)}
t₁₂₄: 1 {O(1)}
t₁₂₅: 1 {O(1)}
t₁₂₆: 1 {O(1)}
t₁₂₇: 1 {O(1)}
t₁₂₈: 1 {O(1)}
t₁₂₉: 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: X₁ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: 0 {O(1)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₃, X₀: X₁ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: 0 {O(1)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₁₆, X₀: 7⋅X₁+4 {O(n)}
t₁₆, X₁: 13⋅X₁ {O(n)}
t₁₆, X₂: 48⋅X₁⋅X₁+84⋅X₁+30 {O(n^2)}
t₁₆, X₃: 2⋅X₃+9⋅X₁+7 {O(n)}
t₁₆, X₄: 48⋅X₁⋅X₁+2⋅X₄+84⋅X₁+27 {O(n^2)}
t₉₃, X₀: 2⋅X₁+1 {O(n)}
t₉₃, X₁: 2⋅X₁ {O(n)}
t₉₃, X₂: 64⋅X₁⋅X₁+112⋅X₁+36 {O(n^2)}
t₉₃, X₃: 2⋅X₁+2 {O(n)}
t₉₃, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₉₄, X₀: 2⋅X₁+1 {O(n)}
t₉₄, X₁: 2⋅X₁ {O(n)}
t₉₄, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₉₄, X₃: 2⋅X₁+2 {O(n)}
t₉₄, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₉₅, X₀: 2⋅X₁+1 {O(n)}
t₉₅, X₁: 2⋅X₁ {O(n)}
t₉₅, X₂: 1 {O(1)}
t₉₅, X₃: 2⋅X₁+2 {O(n)}
t₉₅, X₄: 0 {O(1)}
t₉₆, X₀: 1 {O(1)}
t₉₆, X₁: 4⋅X₁ {O(n)}
t₉₆, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₉₆, X₃: 1 {O(1)}
t₉₆, X₄: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₉₇, X₀: 2⋅X₁+1 {O(n)}
t₉₇, X₁: 2⋅X₁ {O(n)}
t₉₇, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₉₇, X₃: 4⋅X₁+4 {O(n)}
t₉₇, X₄: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₉₈, X₀: 2⋅X₁+1 {O(n)}
t₉₈, X₁: 2⋅X₁ {O(n)}
t₉₈, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₉₈, X₃: 6⋅X₁+3 {O(n)}
t₉₈, X₄: 48⋅X₁⋅X₁+84⋅X₁+27 {O(n^2)}
t₉₉, X₀: 2⋅X₁+1 {O(n)}
t₉₉, X₁: 2⋅X₁ {O(n)}
t₉₉, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₉₉, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₉₉, X₄: 96⋅X₁⋅X₁+168⋅X₁+54 {O(n^2)}
t₁₀₀, X₀: 2⋅X₁+1 {O(n)}
t₁₀₀, X₁: 2⋅X₁ {O(n)}
t₁₀₀, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₀, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₀, X₄: 96⋅X₁⋅X₁+168⋅X₁+54 {O(n^2)}
t₁₀₂, X₀: 2⋅X₁+1 {O(n)}
t₁₀₂, X₁: 2⋅X₁ {O(n)}
t₁₀₂, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₂, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₂, X₄: 192⋅X₁⋅X₁+2⋅X₄+336⋅X₁+108 {O(n^2)}
t₁₀₃, X₀: 2⋅X₁+1 {O(n)}
t₁₀₃, X₁: 2⋅X₁ {O(n)}
t₁₀₃, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₃, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₃, X₄: 192⋅X₁⋅X₁+2⋅X₄+336⋅X₁+108 {O(n^2)}
t₁₀₄, X₀: 2⋅X₁+1 {O(n)}
t₁₀₄, X₁: 2⋅X₁ {O(n)}
t₁₀₄, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₄, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₄, X₄: 192⋅X₁⋅X₁+2⋅X₄+336⋅X₁+108 {O(n^2)}
t₁₀₅, X₀: 2⋅X₁+1 {O(n)}
t₁₀₅, X₁: 2⋅X₁ {O(n)}
t₁₀₅, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₅, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₅, X₄: 192⋅X₁⋅X₁+2⋅X₄+336⋅X₁+108 {O(n^2)}
t₁₀₆, X₀: 2⋅X₁+1 {O(n)}
t₁₀₆, X₁: 2⋅X₁ {O(n)}
t₁₀₆, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₁₀₆, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₆, X₄: 384⋅X₁⋅X₁+4⋅X₄+672⋅X₁+216 {O(n^2)}
t₁₀₇, X₀: 2⋅X₁+1 {O(n)}
t₁₀₇, X₁: 2⋅X₁ {O(n)}
t₁₀₇, X₂: 64⋅X₁⋅X₁+112⋅X₁+36 {O(n^2)}
t₁₀₇, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₇, X₄: 768⋅X₁⋅X₁+1344⋅X₁+8⋅X₄+432 {O(n^2)}
t₁₀₈, X₀: 2⋅X₁+1 {O(n)}
t₁₀₈, X₁: 2⋅X₁ {O(n)}
t₁₀₈, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₁₀₈, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₈, X₄: 384⋅X₁⋅X₁+4⋅X₄+672⋅X₁+216 {O(n^2)}
t₁₀₉, X₀: 2⋅X₁+1 {O(n)}
t₁₀₉, X₁: 2⋅X₁ {O(n)}
t₁₀₉, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₁₀₉, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₀₉, X₄: 384⋅X₁⋅X₁+4⋅X₄+672⋅X₁+216 {O(n^2)}
t₁₁₀, X₀: 2⋅X₁+1 {O(n)}
t₁₁₀, X₁: 2⋅X₁ {O(n)}
t₁₁₀, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₁₁₀, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₀, X₄: 384⋅X₁⋅X₁+4⋅X₄+672⋅X₁+216 {O(n^2)}
t₁₁₁, X₀: 2⋅X₁+1 {O(n)}
t₁₁₁, X₁: 2⋅X₁ {O(n)}
t₁₁₁, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₁₁₁, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₁, X₄: 384⋅X₁⋅X₁+4⋅X₄+672⋅X₁+216 {O(n^2)}
t₁₁₂, X₀: 2⋅X₁+1 {O(n)}
t₁₁₂, X₁: 2⋅X₁ {O(n)}
t₁₁₂, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₁₁₂, X₃: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₂, X₄: 384⋅X₁⋅X₁+4⋅X₄+672⋅X₁+216 {O(n^2)}
t₁₁₃, X₀: 2⋅X₁+1 {O(n)}
t₁₁₃, X₁: 2⋅X₁ {O(n)}
t₁₁₃, X₂: 32⋅X₁⋅X₁+56⋅X₁+18 {O(n^2)}
t₁₁₃, X₃: 2⋅X₁+2 {O(n)}
t₁₁₃, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₄, X₀: 2⋅X₁+1 {O(n)}
t₁₁₄, X₁: 2⋅X₁ {O(n)}
t₁₁₄, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₄, X₃: 2⋅X₁+2 {O(n)}
t₁₁₄, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₅, X₀: 1 {O(1)}
t₁₁₅, X₁: 2⋅X₁ {O(n)}
t₁₁₅, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₅, X₃: 1 {O(1)}
t₁₁₅, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₆, X₀: 2⋅X₁+1 {O(n)}
t₁₁₆, X₁: 2⋅X₁ {O(n)}
t₁₁₆, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₆, X₃: 2⋅X₁+2 {O(n)}
t₁₁₆, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₇, X₀: 2⋅X₁+1 {O(n)}
t₁₁₇, X₁: 2⋅X₁ {O(n)}
t₁₁₇, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₇, X₃: 2⋅X₁+2 {O(n)}
t₁₁₇, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₈, X₀: 2⋅X₁+1 {O(n)}
t₁₁₈, X₁: 2⋅X₁ {O(n)}
t₁₁₈, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₈, X₃: 2⋅X₁+2 {O(n)}
t₁₁₈, X₄: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₉, X₀: 2⋅X₁+1 {O(n)}
t₁₁₉, X₁: 2⋅X₁ {O(n)}
t₁₁₉, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₁₉, X₃: 6⋅X₁+3 {O(n)}
t₁₁₉, X₄: 48⋅X₁⋅X₁+84⋅X₁+27 {O(n^2)}
t₁₂₀, X₀: 2⋅X₁+1 {O(n)}
t₁₂₀, X₁: 2⋅X₁ {O(n)}
t₁₂₀, X₂: 1 {O(1)}
t₁₂₀, X₃: 6⋅X₁+3 {O(n)}
t₁₂₀, X₄: 0 {O(1)}
t₁₂₁, X₀: 2⋅X₁+1 {O(n)}
t₁₂₁, X₁: 2⋅X₁ {O(n)}
t₁₂₁, X₂: 16⋅X₁⋅X₁+28⋅X₁+9 {O(n^2)}
t₁₂₁, X₃: 6⋅X₁+3 {O(n)}
t₁₂₁, X₄: 48⋅X₁⋅X₁+84⋅X₁+27 {O(n^2)}
t₁₂₃, X₀: X₁ {O(n)}
t₁₂₃, X₁: X₁ {O(n)}
t₁₂₃, X₂: 0 {O(1)}
t₁₂₃, X₃: X₃ {O(n)}
t₁₂₃, X₄: X₄ {O(n)}
t₁₂₄, X₀: X₁ {O(n)}
t₁₂₄, X₁: X₁ {O(n)}
t₁₂₄, X₂: 0 {O(1)}
t₁₂₄, X₃: X₃ {O(n)}
t₁₂₄, X₄: X₄ {O(n)}
t₁₂₅, X₀: X₁ {O(n)}
t₁₂₅, X₁: X₁ {O(n)}
t₁₂₅, X₂: 0 {O(1)}
t₁₂₅, X₃: X₁ {O(n)}
t₁₂₅, X₄: 0 {O(1)}
t₁₂₆, X₀: X₁ {O(n)}
t₁₂₆, X₁: X₁ {O(n)}
t₁₂₆, X₂: 0 {O(1)}
t₁₂₆, X₃: 0 {O(1)}
t₁₂₆, X₄: X₄ {O(n)}
t₁₂₇, X₀: X₁ {O(n)}
t₁₂₇, X₁: X₁ {O(n)}
t₁₂₇, X₂: 0 {O(1)}
t₁₂₇, X₃: 0 {O(1)}
t₁₂₇, X₄: X₄ {O(n)}
t₁₂₈, X₀: X₁ {O(n)}
t₁₂₈, X₁: X₁ {O(n)}
t₁₂₈, X₂: 1 {O(1)}
t₁₂₈, X₃: X₁ {O(n)}
t₁₂₈, X₄: 0 {O(1)}
t₁₂₉, X₀: X₁ {O(n)}
t₁₂₉, X₁: X₁ {O(n)}
t₁₂₉, X₂: 1 {O(1)}
t₁₂₉, X₃: X₁ {O(n)}
t₁₂₉, X₄: 0 {O(1)}