Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂) → l6(X₀, X₁, X₂)
t₂: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: X₁+1 ≤ X₂
t₃: l1(X₀, X₁, X₂) → l5(X₀, X₁, X₂) :|: X₂ ≤ X₁
t₄: l2(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: X₁+1 ≤ X₀
t₅: l2(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: X₀ ≤ X₁
t₆: l3(X₀, X₁, X₂) → l1(X₀, X₁+1, X₂)
t₇: l4(X₀, X₁, X₂) → l1(X₀+1, X₁, X₂)
t₈: l5(X₀, X₁, X₂) → l7(X₀, X₁, X₂)
t₁: l6(X₀, X₁, X₂) → l1(X₁, X₀, X₂)

Preprocessing

Found invariant 1+X₁ ≤ X₂ for location l2

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location l4

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂) → l6(X₀, X₁, X₂)
t₂: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: X₁+1 ≤ X₂
t₃: l1(X₀, X₁, X₂) → l5(X₀, X₁, X₂) :|: X₂ ≤ X₁
t₄: l2(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: X₁+1 ≤ X₀ ∧ 1+X₁ ≤ X₂
t₅: l2(X₀, X₁, X₂) → l4(X₀, X₁, X₂) :|: X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂
t₆: l3(X₀, X₁, X₂) → l1(X₀, X₁+1, X₂) :|: 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀
t₇: l4(X₀, X₁, X₂) → l1(X₀+1, X₁, X₂) :|: 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁
t₈: l5(X₀, X₁, X₂) → l7(X₀, X₁, X₂) :|: X₂ ≤ X₁
t₁: l6(X₀, X₁, X₂) → l1(X₁, X₀, X₂)

Analysing control-flow refined program

Cut unsatisfiable transition t₂₅₈: n_l1___2→l5

Cut unsatisfiable transition t₂₆₀: n_l1___7→l5

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Time-Bound by TWN-Loops:

TWN-Loops: t₂₃₁ 4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

TWN-Loops:

entry: t₂₄₄: n_l3___13(X₀, X₁, X₂) → n_l1___11(X₀, X₁+1, X₂) :|: 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀
results in twn-loop: twn:Inv: [X₁ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀] , (X₀,X₁,X₂) -> (X₀,X₁+1,X₂) :|: X₁ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ X₂
order: [X₀; X₁; X₂]
closed-form:
X₀: X₀
X₁: X₁ + [[n != 0]] * n^1
X₂: X₂

Termination: true
Formula:

1 < 0
∨ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1 < 0 ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1 < 0 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ < X₀ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₀ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1 < 0 ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1 < 0 ∧ 1+X₁ < X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 1+X₁ < X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0
∨ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1 < 0 ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1 < 0 ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1 < 0 ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1 < 0 ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1 < 0 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1 < 0 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1+X₁ < X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ < X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ < X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 < 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 < 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁

Stabilization-Threshold for: 1+X₁ ≤ X₂
alphas_abs: X₁+X₂
M: 0
N: 1
Bound: 2⋅X₁+2⋅X₂+2 {O(n)}
Stabilization-Threshold for: 1+X₁ ≤ X₀
alphas_abs: X₀+X₁
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₁+2 {O(n)}
Stabilization-Threshold for: X₁ ≤ X₀
alphas_abs: X₀+X₁
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₁+2 {O(n)}
Stabilization-Threshold for: X₁ ≤ X₂
alphas_abs: X₁+X₂
M: 0
N: 1
Bound: 2⋅X₁+2⋅X₂+2 {O(n)}

relevant size-bounds w.r.t. t₂₄₄:
X₀: X₁ {O(n)}
X₁: X₀+1 {O(n)}
X₂: X₂ {O(n)}
Runtime-bound of t₂₄₄: 1 {O(1)}
Results in: 4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

Time-Bound by TWN-Loops:

TWN-Loops: t₂₃₈ 4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

relevant size-bounds w.r.t. t₂₄₄:
X₀: X₁ {O(n)}
X₁: X₀+1 {O(n)}
X₂: X₂ {O(n)}
Runtime-bound of t₂₄₄: 1 {O(1)}
Results in: 4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

Time-Bound by TWN-Loops:

TWN-Loops: t₂₄₆ 4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

relevant size-bounds w.r.t. t₂₄₄:
X₀: X₁ {O(n)}
X₁: X₀+1 {O(n)}
X₂: X₂ {O(n)}
Runtime-bound of t₂₄₄: 1 {O(1)}
Results in: 4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

4⋅X₁+4⋅X₂+8⋅X₀+18 {O(n)}

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Time-Bound by TWN-Loops:

TWN-Loops: t₂₃₃ 4⋅X₀+4⋅X₁+7 {O(n)}

TWN-Loops:

entry: t₂₄₁: n_l2___14(X₀, X₁, X₂) → n_l4___12(X₀, X₁, X₂) :|: 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂
results in twn-loop: twn:Inv: [1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁] , (X₀,X₁,X₂) -> (1+X₀,X₁,X₂) :|: 1+X₁ ≤ X₂ ∧ X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ X₀ ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₁
order: [X₀; X₁; X₂]
closed-form:
X₀: X₀ + [[n != 0]] * n^1
X₁: X₁
X₂: X₂

Termination: true
Formula:

1+X₁ < X₂ ∧ 1 < 0
∨ 1 < 0 ∧ 1+X₁ < X₂ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0
∨ 1 < 0 ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 < 0 ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀
∨ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ < X₂ ∧ 1 < 0
∨ 1+X₀ < X₁ ∧ 1+X₁ < X₂ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₁ ∧ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀
∨ 1+X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0
∨ 1+X₀ < X₁ ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₁ ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1+X₁ < X₂ ∧ 1 < 0
∨ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1+X₁ < X₂ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 < 0
∨ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₁ ∧ X₁ ≤ 1+X₀ ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀

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

relevant size-bounds w.r.t. t₂₄₁:
X₀: X₁ {O(n)}
X₁: X₀ {O(n)}
Runtime-bound of t₂₄₁: 1 {O(1)}
Results in: 4⋅X₀+4⋅X₁+7 {O(n)}

4⋅X₀+4⋅X₁+7 {O(n)}

Time-Bound by TWN-Loops:

TWN-Loops: t₂₃₇ 4⋅X₀+4⋅X₁+7 {O(n)}

relevant size-bounds w.r.t. t₂₄₁:
X₀: X₁ {O(n)}
X₁: X₀ {O(n)}
Runtime-bound of t₂₄₁: 1 {O(1)}
Results in: 4⋅X₀+4⋅X₁+7 {O(n)}

4⋅X₀+4⋅X₁+7 {O(n)}

Time-Bound by TWN-Loops:

TWN-Loops: t₂₄₇ 4⋅X₀+4⋅X₁+7 {O(n)}

relevant size-bounds w.r.t. t₂₄₁:
X₀: X₁ {O(n)}
X₁: X₀ {O(n)}
Runtime-bound of t₂₄₁: 1 {O(1)}
Results in: 4⋅X₀+4⋅X₁+7 {O(n)}

4⋅X₀+4⋅X₁+7 {O(n)}

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l2___6

Found invariant 1+X₁ ≤ X₂ for location n_l2___14

Found invariant X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l1___11

Found invariant X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___4

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l1___7

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ X₀ ≤ 1+X₁ for location n_l3___5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ X₁ for location n_l4___12

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l1___2

Found invariant 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₁ for location n_l2___1

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l2___3

Found invariant X₂ ≤ X₁ for location l7

Found invariant X₂ ≤ X₁ for location l5

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___13

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₀ for location n_l3___9

Found invariant 1+X₁ ≤ X₂ ∧ X₁ ≤ X₀ for location n_l2___10

Found invariant 1+X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l4___8

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₅: inf {Infinity}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: 1 {O(1)}
t₁: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₅: inf {Infinity}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: 1 {O(1)}
t₁: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₂, X₂: X₂ {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₄, X₂: X₂ {O(n)}
t₅, X₂: X₂ {O(n)}
t₆, X₂: X₂ {O(n)}
t₇, X₂: X₂ {O(n)}
t₈, X₂: 2⋅X₂ {O(n)}
t₁, X₀: X₁ {O(n)}
t₁, X₁: X₀ {O(n)}
t₁, X₂: X₂ {O(n)}