Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars: D, E, F
Locations: l0, l1, l2, l3
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(2, X₁, X₂)
t₁: l1(X₀, X₁, X₂) → l2(X₀, X₀, X₂) :|: X₀ ≤ 10
t₄: l1(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: 11 ≤ X₀
t₃: l2(X₀, X₁, X₂) → l1(X₀+1, X₁, X₂)
t₂: l2(X₀, X₁, X₂) → l2(X₀, X₁-1, F) :|: E+1 ≤ D
Eliminate variables {F,X₁,X₂} that do not contribute to the problem
Found invariant 2 ≤ X₀ for location l2
Found invariant 2 ≤ X₀ for location l1
Found invariant 11 ≤ X₀ for location l3
Start: l0
Program_Vars: X₀
Temp_Vars: D, E
Locations: l0, l1, l2, l3
Transitions:
t₁₀: l0(X₀) → l1(2)
t₁₁: l1(X₀) → l2(X₀) :|: X₀ ≤ 10 ∧ 2 ≤ X₀
t₁₂: l1(X₀) → l3(X₀) :|: 11 ≤ X₀ ∧ 2 ≤ X₀
t₁₃: l2(X₀) → l1(X₀+1) :|: 2 ≤ X₀
t₁₄: l2(X₀) → l2(X₀) :|: E+1 ≤ D ∧ 2 ≤ X₀
new bound:
13 {O(1)}
new bound:
52 {O(1)}
Chain transitions t₁₃: l2→l1 and t₁₂: l1→l3 to t₃₇: l2→l3
Chain transitions t₁₀: l0→l1 and t₁₂: l1→l3 to t₃₈: l0→l3
Chain transitions t₁₀: l0→l1 and t₁₁: l1→l2 to t₃₉: l0→l2
Chain transitions t₁₃: l2→l1 and t₁₁: l1→l2 to t₄₀: l2→l2
Cut unsatisfiable transition t₃₈: l0→l3
Found invariant 2 ≤ X₀ for location l2
Found invariant 2 ≤ X₀ for location l1
Found invariant 11 ≤ X₀ for location l3
Found invariant X₀ ≤ 10 ∧ 2 ≤ X₀ for location l2
Found invariant 2 ≤ X₀ for location l1
Found invariant 11 ≤ X₀ for location l3
Overall timebound:inf {Infinity}
t₁₀: 1 {O(1)}
t₁₁: 13 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 52 {O(1)}
t₁₄: inf {Infinity}
Overall costbound: inf {Infinity}
t₁₀: 1 {O(1)}
t₁₁: 13 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 52 {O(1)}
t₁₄: inf {Infinity}
t₁₀, X₀: 2 {O(1)}
t₁₁, X₀: 10 {O(1)}
t₁₂, X₀: 22 {O(1)}
t₁₃, X₀: 22 {O(1)}
t₁₄, X₀: 10 {O(1)}