Initial Problem

Start: f0
Program_Vars: X₀, X₁
Temp_Vars: C
Locations: f0, f14, f4
Transitions:
t₀: f0(X₀, X₁) → f4(C, 0)
t₃: f4(X₀, X₁) → f14(X₀, X₁) :|: 1+X₀ ≤ X₁ ∧ 0 ≤ X₀
t₄: f4(X₀, X₁) → f14(X₀, X₁) :|: 1+X₀ ≤ 0
t₅: f4(X₀, X₁) → f14(X₀, X₁) :|: 0 ≤ X₀ ∧ X₁ ≤ X₀
t₆: f4(X₀, X₁) → f14(X₀, X₁) :|: 1+C ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀
t₁: f4(X₀, X₁) → f4(X₀, 1+X₁) :|: 1+C ≤ 0
t₂: f4(X₀, X₁) → f4(X₀, 1+X₁)

Preprocessing

Found invariant 0 ≤ X₁ for location f14

Found invariant 0 ≤ X₁ for location f4

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁
Temp_Vars: C
Locations: f0, f14, f4
Transitions:
t₀: f0(X₀, X₁) → f4(C, 0)
t₃: f4(X₀, X₁) → f14(X₀, X₁) :|: 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₁
t₄: f4(X₀, X₁) → f14(X₀, X₁) :|: 1+X₀ ≤ 0 ∧ 0 ≤ X₁
t₅: f4(X₀, X₁) → f14(X₀, X₁) :|: 0 ≤ X₀ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁
t₆: f4(X₀, X₁) → f14(X₀, X₁) :|: 1+C ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₁
t₁: f4(X₀, X₁) → f4(X₀, 1+X₁) :|: 1+C ≤ 0 ∧ 0 ≤ X₁
t₂: f4(X₀, X₁) → f4(X₀, 1+X₁) :|: 0 ≤ X₁

Cut unsatisfiable transition [t₃: f4→f14; t₆: f4→f14; t₄₈: f4→f14; t₅₁: f4→f14]

Found invariant 0 ≤ X₁ for location f14

Found invariant X₁ ≤ 0 ∧ 0 ≤ X₁ for location f4

Found invariant 1 ≤ X₁ for location f4_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}

Sizebounds

t₀, X₁: 0 {O(1)}