Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(300)
t₁: l1(X₀) → l1(X₀-1) :|: 102 ≤ X₀
t₂: l1(X₀) → l1(X₀-1) :|: X₀ ≤ 100

Preprocessing

Cut unsatisfiable transition t₂: l1→l1

Found invariant X₀ ≤ 300 ∧ 101 ≤ X₀ for location l1

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(300)
t₁: l1(X₀) → l1(X₀-1) :|: 102 ≤ X₀ ∧ X₀ ≤ 300 ∧ 101 ≤ X₀

MPRF for transition t₁: l1(X₀) → l1(X₀-1) :|: 102 ≤ X₀ ∧ X₀ ≤ 300 ∧ 101 ≤ X₀ of depth 1:

new bound:

300 {O(1)}

MPRF:

l1 [X₀ ]

All Bounds

Timebounds

Overall timebound:301 {O(1)}
t₀: 1 {O(1)}
t₁: 300 {O(1)}

Costbounds

Overall costbound: 301 {O(1)}
t₀: 1 {O(1)}
t₁: 300 {O(1)}

Sizebounds

t₀, X₀: 300 {O(1)}
t₁, X₀: 299 {O(1)}