Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: C, D, E
Locations: l0, l1
Transitions:
t₂: l0(X₀, X₁) → l1(X₀, X₁)
t₀: l1(X₀, X₁) → l1(D, X₁) :|: 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ X₀+1 ≤ X₁ ∧ 2⋅C ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅C ∧ C+1 ≤ D ∧ 2⋅E ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅E ∧ D ≤ E+1
t₁: l1(X₀, X₁) → l1(X₀, D) :|: 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ X₀+1 ≤ X₁ ∧ 2⋅C ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅C ∧ C ≤ D ∧ 2⋅E ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅E ∧ D ≤ E

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars: C, D, E
Locations: l0, l1
Transitions:
t₂: l0(X₀, X₁) → l1(X₀, X₁)
t₀: l1(X₀, X₁) → l1(D, X₁) :|: 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ X₀+1 ≤ X₁ ∧ 2⋅C ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅C ∧ C+1 ≤ D ∧ 2⋅E ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅E ∧ D ≤ E+1
t₁: l1(X₀, X₁) → l1(X₀, D) :|: 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ X₀+1 ≤ X₁ ∧ 2⋅C ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅C ∧ C ≤ D ∧ 2⋅E ≤ X₀+X₁ ∧ X₀+X₁+1 ≤ 3⋅E ∧ D ≤ E

Analysing control-flow refined program

Found invariant 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location n_l1___4

Found invariant 4 ≤ X₁ ∧ 8 ≤ X₀+X₁ ∧ 4 ≤ X₀ for location n_l1___2

Found invariant 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location n_l1___3

Found invariant 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location n_l1___1

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₂: 1 {O(1)}
t₀: inf {Infinity}
t₁: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₂: 1 {O(1)}
t₀: inf {Infinity}
t₁: inf {Infinity}

Sizebounds

t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₀, X₁: 2⋅X₁ {O(n)}
t₁, X₁: 2⋅X₁ {O(n)}