Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4
Transitions:
t₁₁: l0(X₀, X₁, X₂, X₃) → l3(X₀, X₂, X₂, X₀)
t₉: l1(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ 6 ≤ X₁ ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂
t₁₀: l1(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ X₁ ≤ 5 ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂
t₈: l1(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₃ ≤ X₁ ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂
t₆: l2(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ 6 ≤ X₁ ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12
t₇: l2(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ X₁ ≤ 5 ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12
t₅: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₃ ≤ X₁ ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12
t₄: l2(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 30 ≤ X₃ ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12
t₂: l3(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₂+1 ≤ X₀ ∧ 6 ≤ X₂ ∧ X₀ ≤ 29 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃
t₃: l3(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₂+1 ≤ X₀ ∧ X₂ ≤ 5 ∧ X₀ ≤ 29 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃
t₁: l3(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₀ ≤ X₂ ∧ X₀ ≤ 29 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃
t₀: l3(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 30 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃
Preprocessing
Found invariant X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29 for location l2
Found invariant X₁ ≤ 5+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₀ ≤ 29 for location l1
Found invariant 30 ≤ X₃ ∧ X₀ ≤ X₃ for location l4
Found invariant X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4
Transitions:
t₁₁: l0(X₀, X₁, X₂, X₃) → l3(X₀, X₂, X₂, X₀)
t₉: l1(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ 6 ≤ X₁ ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂ ∧ X₁ ≤ 5+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₀ ≤ 29
t₁₀: l1(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ X₁ ≤ 5 ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂ ∧ X₁ ≤ 5+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₀ ≤ 29
t₈: l1(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₃ ≤ X₁ ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂ ∧ X₁ ≤ 5+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₀ ≤ 29
t₆: l2(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ 6 ≤ X₁ ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12 ∧ X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29
t₇: l2(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ X₁ ≤ 5 ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12 ∧ X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29
t₅: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₃ ≤ X₁ ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12 ∧ X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29
t₄: l2(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 30 ≤ X₃ ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12 ∧ X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29
t₂: l3(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₂+1 ≤ X₀ ∧ 6 ≤ X₂ ∧ X₀ ≤ 29 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₃: l3(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₂+1 ≤ X₀ ∧ X₂ ≤ 5 ∧ X₀ ≤ 29 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁: l3(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₀ ≤ X₂ ∧ X₀ ≤ 29 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₀: l3(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: 30 ≤ X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
MPRF for transition t₈: l1(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₃ ≤ X₁ ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂ ∧ X₁ ≤ 5+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₀ ≤ 29 of depth 1:
new bound:
134⋅X₂+714⋅X₀+47588 {O(n)}
MPRF:
l2 [11⋅X₁+11614-280⋅X₀-56⋅X₂-77⋅X₃ ]
l1 [11⋅X₁+11614-280⋅X₀-56⋅X₂-77⋅X₃ ]
MPRF for transition t₉: l1(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ 6 ≤ X₁ ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂ ∧ X₁ ≤ 5+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₀ ≤ 29 of depth 1:
new bound:
14⋅X₂+70⋅X₀+5005 {O(n)}
MPRF:
l2 [1247-30⋅X₀-X₁-6⋅X₂-5⋅X₃ ]
l1 [1254-30⋅X₀-X₁-6⋅X₂-5⋅X₃ ]
MPRF for transition t₁₀: l1(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ X₁ ≤ 5 ∧ 5⋅X₀+X₂+7 ≤ 6⋅X₃ ∧ 5⋅X₀+X₂+7 ≤ 5⋅X₃+X₁ ∧ X₀+1 ≤ X₃ ∧ X₀ ≤ 29 ∧ 2⋅X₃+5⋅X₀+X₂ ≤ X₁+203 ∧ 14⋅X₃+35⋅X₀+7⋅X₂ ≤ 2⋅X₁+1561 ∧ 140⋅X₀+28⋅X₂+161 ≤ 140⋅X₃+23⋅X₁ ∧ 56⋅X₃+140⋅X₀+28⋅X₂ ≤ 23⋅X₁+5719 ∧ X₁ ≤ X₃+5 ∧ X₁+7⋅X₀ ≤ 7⋅X₃+X₂ ∧ X₁ ≤ 5+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₀ ≤ 29 of depth 1:
new bound:
14⋅X₂+70⋅X₀+4428 {O(n)}
MPRF:
l2 [1037-25⋅X₀-2⋅X₁-5⋅X₂-10⋅X₃ ]
l1 [1051-25⋅X₀-2⋅X₁-5⋅X₂-10⋅X₃ ]
MPRF for transition t₅: l2(X₀, X₁, X₂, X₃) → l2(X₀, X₁-10, X₂, 2+X₃) :|: X₃ ≤ X₁ ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12 ∧ X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29 of depth 1:
new bound:
2⋅X₀+119 {O(n)}
MPRF:
l2 [30-X₃ ]
l1 [28-X₃ ]
MPRF for transition t₆: l2(X₀, X₁, X₂, X₃) → l1(X₀, 7+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ 6 ≤ X₁ ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12 ∧ X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29 of depth 1:
new bound:
14⋅X₀+2⋅X₂+866 {O(n)}
MPRF:
l2 [X₁+198-7⋅X₃ ]
l1 [X₁+195-7⋅X₃ ]
MPRF for transition t₇: l2(X₀, X₁, X₂, X₃) → l1(X₀, 2+X₁, X₂, 1+X₃) :|: X₁+1 ≤ X₃ ∧ X₁ ≤ 5 ∧ X₃ ≤ 29 ∧ X₀ ≤ 29 ∧ 5⋅X₀+X₂ ≤ 5⋅X₃+X₁ ∧ X₁+7⋅X₀+24 ≤ 7⋅X₃+X₂ ∧ 19⋅X₃+35⋅X₀+7⋅X₂ ≤ 7⋅X₁+1674 ∧ X₃ ≤ X₁+12 ∧ X₃ ≤ 12+X₁ ∧ 2+X₀ ≤ X₃ ∧ X₀ ≤ 10+X₁ ∧ X₀ ≤ 29 of depth 1:
new bound:
16⋅X₀+2⋅X₂+943 {O(n)}
MPRF:
l2 [X₁+214-X₀-7⋅X₃ ]
l1 [X₁+211-X₀-7⋅X₃ ]
All Bounds
Timebounds
Overall timebound:166⋅X₂+886⋅X₀+58955 {O(n)}
t₁₁: 1 {O(1)}
t₈: 134⋅X₂+714⋅X₀+47588 {O(n)}
t₉: 14⋅X₂+70⋅X₀+5005 {O(n)}
t₁₀: 14⋅X₂+70⋅X₀+4428 {O(n)}
t₄: 1 {O(1)}
t₅: 2⋅X₀+119 {O(n)}
t₆: 14⋅X₀+2⋅X₂+866 {O(n)}
t₇: 16⋅X₀+2⋅X₂+943 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
Costbounds
Overall costbound: 166⋅X₂+886⋅X₀+58955 {O(n)}
t₁₁: 1 {O(1)}
t₈: 134⋅X₂+714⋅X₀+47588 {O(n)}
t₉: 14⋅X₂+70⋅X₀+5005 {O(n)}
t₁₀: 14⋅X₂+70⋅X₀+4428 {O(n)}
t₄: 1 {O(1)}
t₅: 2⋅X₀+119 {O(n)}
t₆: 14⋅X₀+2⋅X₂+866 {O(n)}
t₇: 16⋅X₀+2⋅X₂+943 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
Sizebounds
t₁₁, X₀: X₀ {O(n)}
t₁₁, X₁: X₂ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₀ {O(n)}
t₈, X₀: 7⋅X₀+58 {O(n)}
t₈, X₁: 1475⋅X₂+7822⋅X₀+523013 {O(n)}
t₈, X₂: 7⋅X₂+56 {O(n)}
t₈, X₃: 1593⋅X₀+298⋅X₂+105917 {O(n)}
t₉, X₀: 7⋅X₀+58 {O(n)}
t₉, X₁: 1475⋅X₂+7822⋅X₀+523013 {O(n)}
t₉, X₂: 7⋅X₂+56 {O(n)}
t₉, X₃: 1593⋅X₀+298⋅X₂+105917 {O(n)}
t₁₀, X₀: 7⋅X₀+58 {O(n)}
t₁₀, X₁: 1475⋅X₂+7822⋅X₀+523013 {O(n)}
t₁₀, X₂: 7⋅X₂+56 {O(n)}
t₁₀, X₃: 1593⋅X₀+298⋅X₂+105917 {O(n)}
t₄, X₀: 9⋅X₀+58 {O(n)}
t₄, X₁: 1477⋅X₂+7842⋅X₀+524223 {O(n)}
t₄, X₂: 9⋅X₂+56 {O(n)}
t₄, X₃: 1599⋅X₀+298⋅X₂+106159 {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: 20⋅X₀+X₂+1200 {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: 5⋅X₀+240 {O(n)}
t₆, X₀: 7⋅X₀+58 {O(n)}
t₆, X₁: 35 {O(1)}
t₆, X₂: 7⋅X₂+56 {O(n)}
t₆, X₃: 30 {O(1)}
t₇, X₀: 7⋅X₀+58 {O(n)}
t₇, X₁: 1475⋅X₂+7822⋅X₀+523013 {O(n)}
t₇, X₂: 7⋅X₂+56 {O(n)}
t₇, X₃: 1593⋅X₀+298⋅X₂+105917 {O(n)}
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₂ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₂+10 {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₀+2 {O(n)}
t₂, X₀: 29 {O(1)}
t₂, X₁: 35 {O(1)}
t₂, X₂: 28 {O(1)}
t₂, X₃: 30 {O(1)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₂+2 {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₀+1 {O(n)}