Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l1(400, 0, X₂, X₃, X₄)
t₁: l1(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, 0, X₃, X₄) :|: X₁ ≤ 4
t₁₀: l1(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: 5 ≤ X₁
t₈: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂+1, X₃, X₄) :|: 5 ≤ X₃
t₃: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, 0) :|: X₃ ≤ 4
t₉: l3(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁+1, X₂, X₃, X₄) :|: 5 ≤ X₂
t₂: l3(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, 0, X₄) :|: X₂ ≤ 4
t₇: l4(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃+1, X₄) :|: 5 ≤ X₄
t₄: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄+1) :|: X₄ ≤ 4 ∧ F+1 ≤ X₀
t₅: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄+1) :|: X₄ ≤ 4
t₆: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₄ ≤ 4
Preprocessing
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₃ ≤ 5+X₁ ∧ 395+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 405 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ for location l2
Found invariant 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ for location l5
Found invariant 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ for location l1
Found invariant X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ for location l4
Found invariant 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l1(400, 0, X₂, X₃, X₄)
t₁: l1(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, 0, X₃, X₄) :|: X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₁₀: l1(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: 5 ≤ X₁ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₈: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂+1, X₃, X₄) :|: 5 ≤ X₃ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₃ ≤ 5+X₁ ∧ 395+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 405 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₃: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, 0) :|: X₃ ≤ 4 ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₃ ≤ 5+X₁ ∧ 395+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 405 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₉: l3(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁+1, X₂, X₃, X₄) :|: 5 ≤ X₂ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₂: l3(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, 0, X₄) :|: X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₇: l4(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃+1, X₄) :|: 5 ≤ X₄ ∧ X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₄: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄+1) :|: X₄ ≤ 4 ∧ F+1 ≤ X₀ ∧ X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₅: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄+1) :|: X₄ ≤ 4 ∧ X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
t₆: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₄ ≤ 4 ∧ X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀
MPRF for transition t₁: l1(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, 0, X₃, X₄) :|: X₁ ≤ 4 ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
401 {O(1)}
MPRF:
l3 [400-100⋅X₁ ]
l1 [401-100⋅X₁ ]
l4 [X₀-100⋅X₁ ]
l2 [X₀-100⋅X₁ ]
MPRF for transition t₂: l3(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, 0, X₄) :|: X₂ ≤ 4 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
802000 {O(1)}
MPRF:
l3 [2000-400⋅X₂ ]
l1 [-400⋅X₂ ]
l4 [4⋅X₀-400⋅X₂ ]
l2 [1600-400⋅X₂ ]
MPRF for transition t₉: l3(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁+1, X₂, X₃, X₄) :|: 5 ≤ X₂ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
160400 {O(1)}
MPRF:
l3 [400 ]
l1 [400-400⋅X₁ ]
l4 [X₀ ]
l2 [X₀ ]
MPRF for transition t₃: l2(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, 0) :|: X₃ ≤ 4 ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₃ ≤ 5+X₁ ∧ 395+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 405 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
8020005 {O(1)}
MPRF:
l3 [5 ]
l1 [5 ]
l4 [9-X₃ ]
l2 [10-X₃ ]
MPRF for transition t₈: l2(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂+1, X₃, X₄) :|: 5 ≤ X₃ ∧ X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₃ ≤ 5+X₁ ∧ 395+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 405 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
321602400 {O(1)}
MPRF:
l3 [400 ]
l1 [400 ]
l4 [X₀+1 ]
l2 [401 ]
MPRF for transition t₄: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄+1) :|: X₄ ≤ 4 ∧ F+1 ≤ X₀ ∧ X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
44110000 {O(1)}
MPRF:
l3 [6⋅X₂ ]
l1 [0 ]
l4 [6⋅X₂+31-5⋅X₃-X₄ ]
l2 [6⋅X₂+31-5⋅X₃ ]
MPRF for transition t₅: l4(X₀, X₁, X₂, X₃, X₄) → l4(X₀, X₁, X₂, X₃, X₄+1) :|: X₄ ≤ 4 ∧ X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
44110000 {O(1)}
MPRF:
l3 [6⋅X₂ ]
l1 [0 ]
l4 [6⋅X₂+31-5⋅X₃-X₄ ]
l2 [6⋅X₂+31-5⋅X₃ ]
MPRF for transition t₇: l4(X₀, X₁, X₂, X₃, X₄) → l2(X₀, X₁, X₂, X₃+1, X₄) :|: 5 ≤ X₄ ∧ X₄ ≤ 5 ∧ X₄ ≤ 5+X₃ ∧ X₃+X₄ ≤ 9 ∧ X₄ ≤ 5+X₂ ∧ X₄ ≤ 5+X₁ ∧ 395+X₄ ≤ X₀ ∧ X₀+X₄ ≤ 405 ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 400 ≤ X₀+X₄ ∧ X₀ ≤ 400+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₃ ≤ 4+X₁ ∧ 396+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 404 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 400 ≤ X₀+X₃ ∧ X₀ ≤ 400+X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 400 ≤ X₀+X₂ ∧ X₀ ≤ 400+X₂ ∧ 0 ≤ X₁ ∧ 400 ≤ X₀+X₁ ∧ X₀ ≤ 400+X₁ ∧ X₀ ≤ 400 ∧ 400 ≤ X₀ of depth 1:
new bound:
16040000 {O(1)}
MPRF:
l3 [3⋅X₂ ]
l1 [0 ]
l4 [3⋅X₂+8-X₃ ]
l2 [3⋅X₂+8-X₃ ]
All Bounds
Timebounds
Overall timebound:434845209 {O(1)}
t₀: 1 {O(1)}
t₁: 401 {O(1)}
t₁₀: 1 {O(1)}
t₃: 8020005 {O(1)}
t₈: 321602400 {O(1)}
t₂: 802000 {O(1)}
t₉: 160400 {O(1)}
t₄: 44110000 {O(1)}
t₅: 44110000 {O(1)}
t₆: 1 {O(1)}
t₇: 16040000 {O(1)}
Costbounds
Overall costbound: 434845209 {O(1)}
t₀: 1 {O(1)}
t₁: 401 {O(1)}
t₁₀: 1 {O(1)}
t₃: 8020005 {O(1)}
t₈: 321602400 {O(1)}
t₂: 802000 {O(1)}
t₉: 160400 {O(1)}
t₄: 44110000 {O(1)}
t₅: 44110000 {O(1)}
t₆: 1 {O(1)}
t₇: 16040000 {O(1)}
Sizebounds
t₀, X₀: 400 {O(1)}
t₀, X₁: 0 {O(1)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₁, X₀: 400 {O(1)}
t₁, X₁: 4 {O(1)}
t₁, X₂: 0 {O(1)}
t₁, X₃: X₃+5 {O(n)}
t₁, X₄: X₄+5 {O(n)}
t₁₀, X₀: 400 {O(1)}
t₁₀, X₁: 5 {O(1)}
t₁₀, X₂: 5 {O(1)}
t₁₀, X₃: 5 {O(1)}
t₁₀, X₄: 5 {O(1)}
t₃, X₀: 400 {O(1)}
t₃, X₁: 4 {O(1)}
t₃, X₂: 4 {O(1)}
t₃, X₃: 4 {O(1)}
t₃, X₄: 0 {O(1)}
t₈, X₀: 400 {O(1)}
t₈, X₁: 4 {O(1)}
t₈, X₂: 5 {O(1)}
t₈, X₃: 5 {O(1)}
t₈, X₄: 5 {O(1)}
t₂, X₀: 400 {O(1)}
t₂, X₁: 4 {O(1)}
t₂, X₂: 4 {O(1)}
t₂, X₃: 0 {O(1)}
t₂, X₄: X₄+10 {O(n)}
t₉, X₀: 400 {O(1)}
t₉, X₁: 5 {O(1)}
t₉, X₂: 5 {O(1)}
t₉, X₃: 5 {O(1)}
t₉, X₄: 5 {O(1)}
t₄, X₀: 400 {O(1)}
t₄, X₁: 4 {O(1)}
t₄, X₂: 4 {O(1)}
t₄, X₃: 4 {O(1)}
t₄, X₄: 5 {O(1)}
t₅, X₀: 400 {O(1)}
t₅, X₁: 4 {O(1)}
t₅, X₂: 4 {O(1)}
t₅, X₃: 4 {O(1)}
t₅, X₄: 5 {O(1)}
t₆, X₀: 400 {O(1)}
t₆, X₁: 12 {O(1)}
t₆, X₂: 12 {O(1)}
t₆, X₃: 4 {O(1)}
t₆, X₄: 4 {O(1)}
t₇, X₀: 400 {O(1)}
t₇, X₁: 4 {O(1)}
t₇, X₂: 4 {O(1)}
t₇, X₃: 5 {O(1)}
t₇, X₄: 5 {O(1)}