Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 < X₀
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 0
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₃, X₄, X₅, X₃, X₄, X₅)
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀+X₁, X₁+X₂, X₂-1, X₃, X₄, X₅)
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅)
Found invariant X₂ ≤ X₅ ∧ X₀ ≤ 0 for location l5
Found invariant X₂ ≤ X₅ for location l1
Found invariant X₂ ≤ X₅ ∧ X₀ ≤ 0 for location l4
Found invariant X₂ ≤ X₅ ∧ 1 ≤ X₀ for location l3
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 < X₀ ∧ X₂ ≤ X₅
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ 0 ∧ X₂ ≤ X₅
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₃, X₄, X₅, X₃, X₄, X₅)
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀+X₁, X₁+X₂, X₂-1, X₃, X₄, X₅) :|: X₂ ≤ X₅ ∧ 1 ≤ X₀
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₂ ≤ X₅ ∧ X₀ ≤ 0
new bound:
27⋅X₃+27⋅X₄+27⋅X₅+55 {O(n)}
MPRF:
l3 [X₂ ; X₁+X₂+1 ; X₀+X₁ ]
l1 [X₂+1 ; X₁+1 ; X₀ ]
new bound:
27⋅X₃+27⋅X₄+27⋅X₅+55 {O(n)}
MPRF:
l3 [X₂+1 ; X₁+1 ; X₀ ]
l1 [X₂+1 ; X₁+1 ; X₀ ]
Overall timebound:54⋅X₃+54⋅X₄+54⋅X₅+114 {O(n)}
t₀: 1 {O(1)}
t₂: 27⋅X₃+27⋅X₄+27⋅X₅+55 {O(n)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₄: 27⋅X₃+27⋅X₄+27⋅X₅+55 {O(n)}
t₅: 1 {O(1)}
Overall costbound: 54⋅X₃+54⋅X₄+54⋅X₅+114 {O(n)}
t₀: 1 {O(1)}
t₂: 27⋅X₃+27⋅X₄+27⋅X₅+55 {O(n)}
t₃: 1 {O(1)}
t₁: 1 {O(1)}
t₄: 27⋅X₃+27⋅X₄+27⋅X₅+55 {O(n)}
t₅: 1 {O(1)}
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)}
t₀, X₅: X₅ {O(n)}
t₂, X₀: 119556⋅X₃⋅X₄⋅X₅+19683⋅X₃⋅X₃⋅X₃+19683⋅X₄⋅X₄⋅X₄+20412⋅X₅⋅X₅⋅X₅+59049⋅X₃⋅X₃⋅X₄+59049⋅X₃⋅X₄⋅X₄+59778⋅X₃⋅X₃⋅X₅+59778⋅X₄⋅X₄⋅X₅+60507⋅X₃⋅X₅⋅X₅+60507⋅X₄⋅X₅⋅X₅+121743⋅X₃⋅X₃+121770⋅X₄⋅X₄+124767⋅X₅⋅X₅+243513⋅X₃⋅X₄+246510⋅X₃⋅X₅+246537⋅X₄⋅X₅+250993⋅X₃+251048⋅X₄+254128⋅X₅+172480 {O(n^3)}
t₂, X₁: 1458⋅X₃⋅X₄+1485⋅X₃⋅X₅+1485⋅X₄⋅X₅+729⋅X₃⋅X₃+729⋅X₄⋅X₄+756⋅X₅⋅X₅+2997⋅X₃+2998⋅X₄+3053⋅X₅+3080 {O(n^2)}
t₂, X₂: 27⋅X₃+27⋅X₄+28⋅X₅+55 {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₃, X₀: 119556⋅X₃⋅X₄⋅X₅+19683⋅X₃⋅X₃⋅X₃+19683⋅X₄⋅X₄⋅X₄+20412⋅X₅⋅X₅⋅X₅+59049⋅X₃⋅X₃⋅X₄+59049⋅X₃⋅X₄⋅X₄+59778⋅X₃⋅X₃⋅X₅+59778⋅X₄⋅X₄⋅X₅+60507⋅X₃⋅X₅⋅X₅+60507⋅X₄⋅X₅⋅X₅+121743⋅X₃⋅X₃+121770⋅X₄⋅X₄+124767⋅X₅⋅X₅+243513⋅X₃⋅X₄+246510⋅X₃⋅X₅+246537⋅X₄⋅X₅+250994⋅X₃+251048⋅X₄+254128⋅X₅+172480 {O(n^3)}
t₃, X₁: 1458⋅X₃⋅X₄+1485⋅X₃⋅X₅+1485⋅X₄⋅X₅+729⋅X₃⋅X₃+729⋅X₄⋅X₄+756⋅X₅⋅X₅+2997⋅X₃+2999⋅X₄+3053⋅X₅+3080 {O(n^2)}
t₃, X₂: 27⋅X₃+27⋅X₄+29⋅X₅+55 {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₃, X₄: 2⋅X₄ {O(n)}
t₃, X₅: 2⋅X₅ {O(n)}
t₁, X₀: X₃ {O(n)}
t₁, X₁: X₄ {O(n)}
t₁, X₂: X₅ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₄, X₀: 119556⋅X₃⋅X₄⋅X₅+19683⋅X₃⋅X₃⋅X₃+19683⋅X₄⋅X₄⋅X₄+20412⋅X₅⋅X₅⋅X₅+59049⋅X₃⋅X₃⋅X₄+59049⋅X₃⋅X₄⋅X₄+59778⋅X₃⋅X₃⋅X₅+59778⋅X₄⋅X₄⋅X₅+60507⋅X₃⋅X₅⋅X₅+60507⋅X₄⋅X₅⋅X₅+121743⋅X₃⋅X₃+121770⋅X₄⋅X₄+124767⋅X₅⋅X₅+243513⋅X₃⋅X₄+246510⋅X₃⋅X₅+246537⋅X₄⋅X₅+250993⋅X₃+251048⋅X₄+254128⋅X₅+172480 {O(n^3)}
t₄, X₁: 1458⋅X₃⋅X₄+1485⋅X₃⋅X₅+1485⋅X₄⋅X₅+729⋅X₃⋅X₃+729⋅X₄⋅X₄+756⋅X₅⋅X₅+2997⋅X₃+2998⋅X₄+3053⋅X₅+3080 {O(n^2)}
t₄, X₂: 27⋅X₃+27⋅X₄+28⋅X₅+55 {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₅, X₀: 119556⋅X₃⋅X₄⋅X₅+19683⋅X₃⋅X₃⋅X₃+19683⋅X₄⋅X₄⋅X₄+20412⋅X₅⋅X₅⋅X₅+59049⋅X₃⋅X₃⋅X₄+59049⋅X₃⋅X₄⋅X₄+59778⋅X₃⋅X₃⋅X₅+59778⋅X₄⋅X₄⋅X₅+60507⋅X₃⋅X₅⋅X₅+60507⋅X₄⋅X₅⋅X₅+121743⋅X₃⋅X₃+121770⋅X₄⋅X₄+124767⋅X₅⋅X₅+243513⋅X₃⋅X₄+246510⋅X₃⋅X₅+246537⋅X₄⋅X₅+250994⋅X₃+251048⋅X₄+254128⋅X₅+172480 {O(n^3)}
t₅, X₁: 1458⋅X₃⋅X₄+1485⋅X₃⋅X₅+1485⋅X₄⋅X₅+729⋅X₃⋅X₃+729⋅X₄⋅X₄+756⋅X₅⋅X₅+2997⋅X₃+2999⋅X₄+3053⋅X₅+3080 {O(n^2)}
t₅, X₂: 27⋅X₃+27⋅X₄+29⋅X₅+55 {O(n)}
t₅, X₃: 2⋅X₃ {O(n)}
t₅, X₄: 2⋅X₄ {O(n)}
t₅, X₅: 2⋅X₅ {O(n)}