Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l1(X₁, X₁, X₃, X₃)
t₁: l1(X₀, X₁, X₂, X₃) → l1(X₀-1, X₁, X₂-1, X₃) :|: X₀+1 ≤ 0
t₂: l1(X₀, X₁, X₂, X₃) → l1(X₀-1, X₁, X₂-1, X₃) :|: 1 ≤ X₀
t₃: l1(X₀, X₁, X₂, X₃) → l2(0, X₁, X₂, X₃) :|: X₁+1 ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₄: l1(X₀, X₁, X₂, X₃) → l2(0, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₅: l1(X₀, X₁, X₂, X₃) → l2(0, X₁, X₂, X₁) :|: X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁

Preprocessing

Eliminate variables {X₂} that do not contribute to the problem

Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₀ ≤ X₁ for location l1

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₃
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₁₆: l0(X₀, X₁, X₃) → l1(X₁, X₁, X₃)
t₁₇: l1(X₀, X₁, X₃) → l1(X₀-1, X₁, X₃) :|: X₀+1 ≤ 0 ∧ X₀ ≤ X₁
t₁₈: l1(X₀, X₁, X₃) → l1(X₀-1, X₁, X₃) :|: 1 ≤ X₀ ∧ X₀ ≤ X₁
t₁₉: l1(X₀, X₁, X₃) → l2(0, X₁, X₃) :|: X₁+1 ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁
t₂₀: l1(X₀, X₁, X₃) → l2(0, X₁, X₃) :|: 1+X₃ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁
t₂₁: l1(X₀, X₁, X₃) → l2(0, X₁, X₁) :|: X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ X₀ ≤ X₁

Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₀ ≤ X₁ for location l1

Analysing control-flow refined program

Cut unsatisfiable transition t₈₈: n_l1___2→l2

Cut unsatisfiable transition t₉₀: n_l1___2→l2

Cut unsatisfiable transition t₉₂: n_l1___2→l2

Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant 1+X₁ ≤ 0 ∧ 3+X₀+X₁ ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ 2+X₀ ≤ 0 for location n_l1___2

Found invariant X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location l1

Found invariant 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location n_l1___1

Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant 1+X₁ ≤ 0 ∧ 3+X₀+X₁ ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ 2+X₀ ≤ 0 for location n_l1___2

Found invariant X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location l1

Found invariant 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location n_l1___1

Time-Bound by TWN-Loops:

TWN-Loops: t₇₃ 12⋅X₁+12 {O(n)}

TWN-Loops:

entry: t₇₅: l1(X₀, X₁, X₃) → n_l1___1(X₀-1, X₁, X₃) :|: X₀ ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁
results in twn-loop: twn:Inv: [1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀] , (X₀,X₁,X₃) -> (X₀-1,X₁,X₃) :|: X₀ ≤ X₁ ∧ 0 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ X₁
order: [X₀; X₁]
closed-form:
X₀: X₀ + [[n != 0]] * -1 * n^1
X₁: X₁

Termination: true
Formula:

0 < 1 ∧ 1 < 0
∨ 1 < 0 ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 0 < 1 ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ 0 < 1 ∧ 1 < 0 ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 < 1 ∧ 1 < 0 ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 0 < 1 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ 0 < 1 ∧ 1 < 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 < 1 ∧ 1 < 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 1 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ 1 < 0
∨ 1 < X₀ ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < X₀ ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 0 < 1 ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ 0 < 1 ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 < 1 ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 0 < 1 ∧ 1 < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ 0 < 1 ∧ 1 < X₀ ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 < 1 ∧ 1 < X₀ ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 1 < 0
∨ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 0 < 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ 0 < 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 < 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 0 < 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ 0 < 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 < 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 < 1 ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 < 0 ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 < 0 ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 < 0 ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 < 0 ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 < 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 < 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 < X₀ ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 < 1 ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < 0 ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < 0 ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < 0 ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < 0 ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 < X₀ ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 < 1 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 < 0
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₀ ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0

Stabilization-Threshold for: X₀ ≤ X₁
alphas_abs: X₀+X₁
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₁+2 {O(n)}
Stabilization-Threshold for: 1 ≤ X₀
alphas_abs: X₀
M: 0
N: 1
Bound: 2⋅X₀+2 {O(n)}
Stabilization-Threshold for: 1+X₀ ≤ X₁
alphas_abs: 1+X₀+X₁
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₁+4 {O(n)}
Stabilization-Threshold for: 0 ≤ X₀
alphas_abs: X₀
M: 0
N: 1
Bound: 2⋅X₀+2 {O(n)}

relevant size-bounds w.r.t. t₇₅:
X₀: X₁ {O(n)}
X₁: X₁ {O(n)}
Runtime-bound of t₇₅: 1 {O(1)}
Results in: 12⋅X₁+12 {O(n)}

12⋅X₁+12 {O(n)}

Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant 1+X₁ ≤ 0 ∧ 3+X₀+X₁ ≤ 0 ∧ 1+X₀ ≤ X₁ ∧ 2+X₀ ≤ 0 for location n_l1___2

Found invariant X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location l1

Found invariant 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location n_l1___1

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₆: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₆: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}

Sizebounds

t₁₆, X₀: X₁ {O(n)}
t₁₆, X₁: X₁ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₇, X₁: X₁ {O(n)}
t₁₇, X₃: X₃ {O(n)}
t₁₈, X₀: X₁ {O(n)}
t₁₈, X₁: X₁ {O(n)}
t₁₈, X₃: X₃ {O(n)}
t₁₉, X₀: 0 {O(1)}
t₁₉, X₁: 2⋅X₁ {O(n)}
t₁₉, X₃: 2⋅X₃ {O(n)}
t₂₀, X₀: 0 {O(1)}
t₂₀, X₁: 2⋅X₁ {O(n)}
t₂₀, X₃: 2⋅X₃ {O(n)}
t₂₁, X₀: 0 {O(1)}
t₂₁, X₁: 2⋅X₁ {O(n)}
t₂₁, X₃: 2⋅X₁ {O(n)}