Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₂: l1(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: 0 < X₀
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: X₀ ≤ 0
t₁: l2(X₀, X₁, X₂, X₃) → l1(X₂, X₃, X₂, X₃)
t₄: l3(X₀, X₁, X₂, X₃) → l1(X₀+X₁-5, -2⋅X₁, X₂, X₃)
t₅: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃)
Found invariant X₀ ≤ 0 for location l5
Found invariant X₀ ≤ 0 for location l4
Found invariant 1 ≤ X₀ for location l3
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₂: l1(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: 0 < X₀
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: X₀ ≤ 0
t₁: l2(X₀, X₁, X₂, X₃) → l1(X₂, X₃, X₂, X₃)
t₄: l3(X₀, X₁, X₂, X₃) → l1(X₀+X₁-5, -2⋅X₁, X₂, X₃) :|: 1 ≤ X₀
t₅: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ 0
Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location n_l3___3
Found invariant 1 ≤ X₂ for location n_l1___2
Found invariant X₀ ≤ X₂ ∧ X₀ ≤ 0 for location l5
Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location l1
Found invariant X₀ ≤ X₂ ∧ X₀ ≤ 0 for location l4
Found invariant 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location n_l3___1
new bound:
3⋅X₂+5⋅X₃+17 {O(n)}
MPRF:
n_l3___1 [3⋅X₀+X₁-7 ]
n_l1___2 [3⋅X₀+X₁+8 ]
new bound:
3⋅X₂+5⋅X₃+17 {O(n)}
MPRF:
n_l3___1 [3⋅X₀+X₁+8 ]
n_l1___2 [3⋅X₀+X₁+8 ]
new bound:
10⋅X₃+6⋅X₂+34 {O(n)}
cfr-program:
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l4, l5, n_l1___2, n_l3___1, n_l3___3
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: X₀ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₃₉: l1(X₀, X₁, X₂, X₃) → n_l3___3(X₀, X₁, X₂, X₃) :|: X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 0 < X₀ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₁: l2(X₀, X₁, X₂, X₃) → l1(X₂, X₃, X₂, X₃)
t₅: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0
t₄₅: n_l1___2(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃) :|: X₀ ≤ 0 ∧ 1 ≤ X₂
t₃₈: n_l1___2(X₀, X₁, X₂, X₃) → n_l3___1(X₀, X₁, X₂, X₃) :|: 0 ≤ 8+2⋅X₀+X₁ ∧ 0 < X₀ ∧ 1 ≤ X₂
t₄₀: n_l3___1(X₀, X₁, X₂, X₃) → n_l1___2(X₀+X₁-5, -2⋅X₁, X₂, X₃) :|: 0 ≤ 8+2⋅X₀+X₁ ∧ 0 < X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₄₁: n_l3___3(X₀, X₁, X₂, X₃) → n_l1___2(X₀+X₁-5, -2⋅X₁, X₂, X₃) :|: 0 < X₀ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₀ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀
Overall timebound:10⋅X₃+6⋅X₂+41 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₃₉: 1 {O(1)}
t₁: 1 {O(1)}
t₅: 1 {O(1)}
t₃₈: 3⋅X₂+5⋅X₃+17 {O(n)}
t₄₅: 1 {O(1)}
t₄₀: 3⋅X₂+5⋅X₃+17 {O(n)}
t₄₁: 1 {O(1)}
Overall costbound: 10⋅X₃+6⋅X₂+41 {O(n)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₃₉: 1 {O(1)}
t₁: 1 {O(1)}
t₅: 1 {O(1)}
t₃₈: 3⋅X₂+5⋅X₃+17 {O(n)}
t₄₅: 1 {O(1)}
t₄₀: 3⋅X₂+5⋅X₃+17 {O(n)}
t₄₁: 1 {O(1)}
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₃, X₀: X₂ {O(n)}
t₃, X₁: X₃ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃₉, X₀: X₂ {O(n)}
t₃₉, X₁: X₃ {O(n)}
t₃₉, X₂: X₂ {O(n)}
t₃₉, X₃: X₃ {O(n)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₅, X₀: 10⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃⋅X₃+2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅34⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅6⋅X₂⋅X₃+12⋅X₂+17⋅X₃+57 {O(EXP)}
t₅, X₁: 2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃+3⋅X₃ {O(EXP)}
t₅, X₂: 3⋅X₂ {O(n)}
t₅, X₃: 3⋅X₃ {O(n)}
t₃₈, X₀: 10⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃⋅X₃+2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅34⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅6⋅X₂⋅X₃+10⋅X₂+16⋅X₃+54 {O(EXP)}
t₃₈, X₁: 2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃ {O(EXP)}
t₃₈, X₂: X₂ {O(n)}
t₃₈, X₃: X₃ {O(n)}
t₄₅, X₀: 10⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃⋅X₃+2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅34⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅6⋅X₂⋅X₃+11⋅X₂+17⋅X₃+57 {O(EXP)}
t₄₅, X₁: 2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃+2⋅X₃ {O(EXP)}
t₄₅, X₂: 2⋅X₂ {O(n)}
t₄₅, X₃: 2⋅X₃ {O(n)}
t₄₀, X₀: 10⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃⋅X₃+2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅34⋅X₃+2^(3⋅X₂+5⋅X₃+17)⋅6⋅X₂⋅X₃+10⋅X₂+16⋅X₃+54 {O(EXP)}
t₄₀, X₁: 2⋅2^(3⋅X₂+5⋅X₃+17)⋅X₃ {O(EXP)}
t₄₀, X₂: X₂ {O(n)}
t₄₀, X₃: X₃ {O(n)}
t₄₁, X₀: X₂+X₃+3 {O(n)}
t₄₁, X₁: 2⋅X₃ {O(n)}
t₄₁, X₂: X₂ {O(n)}
t₄₁, X₃: X₃ {O(n)}