Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I, J
Locations: l0, l1, l2, l3
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(H, I, J, 0, X₄, X₅, X₆)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₃+1 ≤ X₂
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₀, 0, H) :|: X₂ ≤ X₃
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆) :|: X₅+1 ≤ X₄
t₃: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ X₅
Eliminate variables {I,X₁,X₆} that do not contribute to the problem
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ for location l2
Found invariant 0 ≤ X₃ for location l1
Found invariant 0 ≤ X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ for location l3
Start: l0
Program_Vars: X₀, X₂, X₃, X₄, X₅
Temp_Vars: H, J
Locations: l0, l1, l2, l3
Transitions:
t₁₂: l0(X₀, X₂, X₃, X₄, X₅) → l1(H, J, 0, X₄, X₅)
t₁₃: l1(X₀, X₂, X₃, X₄, X₅) → l1(X₀, X₂, X₃+1, X₄, X₅) :|: X₃+1 ≤ X₂ ∧ 0 ≤ X₃
t₁₄: l1(X₀, X₂, X₃, X₄, X₅) → l2(X₀, X₂, X₃, X₀, 0) :|: X₂ ≤ X₃ ∧ 0 ≤ X₃
t₁₅: l2(X₀, X₂, X₃, X₄, X₅) → l2(X₀, X₂, X₃, X₄, X₅+1) :|: X₅+1 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃
t₁₆: l2(X₀, X₂, X₃, X₄, X₅) → l3(X₀, X₂, X₃, X₄, X₅) :|: X₄ ≤ X₅ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ for location l2
Found invariant X₃ ≤ 0 ∧ 0 ≤ X₃ for location l1
Found invariant 0 ≤ X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ for location l3
Found invariant X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location n_l1___1
Found invariant X₅ ≤ 0 ∧ X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ for location l2
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location n_l2___1
Found invariant 0 ≤ X₃ for location l1
Found invariant 0 ≤ X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₃+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₃ ∧ X₂ ≤ X₃ for location l3
Overall timebound:inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: 1 {O(1)}
t₁₅: inf {Infinity}
t₁₆: 1 {O(1)}
Overall costbound: inf {Infinity}
t₁₂: 1 {O(1)}
t₁₃: inf {Infinity}
t₁₄: 1 {O(1)}
t₁₅: inf {Infinity}
t₁₆: 1 {O(1)}
t₁₂, X₃: 0 {O(1)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₄, X₅: 0 {O(1)}