Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₂
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₅, X₂, X₀, X₄, X₅, X₆) :|: X₂ ≤ 0
t₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₄, X₁, X₆, X₃, X₄, X₅, X₆) :|: 0 < X₄
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀+X₂, X₁, X₂-1, X₃, X₄, X₅, X₆)
t₇: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: (X₁)² ≤ X₃
t₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ < (X₁)²
t₈: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, 2⋅X₁, X₂, 5⋅X₃+(X₂)², X₄, X₅, X₆)
Preprocessing
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location l6
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location l5
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l1
Found invariant 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l4
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₂ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₅, X₂, X₀, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₄, X₁, X₆, X₃, X₄, X₅, X₆) :|: 0 < X₄
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0
t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀+X₂, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₇: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: (X₁)² ≤ X₃ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀
t₆: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₃ < (X₁)² ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀
t₈: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, 2⋅X₁, X₂, 5⋅X₃+(X₂)², X₄, X₅, X₆) :|: X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀
MPRF for transition t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₂ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₆ {O(n)}
MPRF:
l4 [X₂-1 ]
l1 [X₂ ]
MPRF for transition t₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀+X₂, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₆ {O(n)}
MPRF:
l4 [X₂ ]
l1 [X₂ ]
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location l6
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location l5
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l1
Found invariant 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l4
Time-Bound by TWN-Loops:
TWN-Loops: t₆ 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
TWN-Loops:
entry: t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₅, X₂, X₀, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₀
results in twn-loop: twn:Inv: [X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀] , (X₀,X₁,X₂,X₃,X₄,X₅,X₆) -> (X₀,2⋅X₁,X₂,5⋅X₃+(X₂)²,X₄,X₅,X₆) :|: X₃ < (X₁)²
order: [X₀; X₁; X₂; X₃; X₄; X₆]
closed-form:
X₀: X₀
X₁: X₁ * 2^n
X₂: X₂
X₃: X₃ * 5^n + [[n != 0]] * 1/4⋅(X₂)² * 5^n + [[n != 0]] * -1/4⋅(X₂)²
X₄: X₄
X₆: X₆
Termination: true
Formula:
4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 4⋅X₃+(X₂)² < 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < 4⋅(X₁)² ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² < 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² < 4⋅X₀ ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² < 4⋅X₄ ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 < 4⋅X₃+(X₂)²
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ (X₂)²+4⋅X₄ < 0 ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0
∨ 0 < (X₂)² ∧ 0 ≤ 4⋅(X₁)² ∧ 4⋅(X₁)² ≤ 0 ∧ 4⋅X₀+(X₂)² ≤ 0 ∧ 0 ≤ 4⋅X₀+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₀ ∧ 4⋅X₀ ≤ 8+(X₂)² ∧ 8+(X₂)² ≤ 4⋅X₄ ∧ 4⋅X₄ ≤ 8+(X₂)² ∧ 0 ≤ 4⋅X₃+(X₂)² ∧ 4⋅X₃+(X₂)² ≤ 0 ∧ (X₂)²+4⋅X₄ ≤ 0 ∧ 0 ≤ (X₂)²+4⋅X₄
Stabilization-Threshold for: X₃ < (X₁)²
alphas_abs: 4⋅(X₁)²+(X₂)²
M: 11
N: 1
Bound: 2⋅X₂⋅X₂+8⋅X₁⋅X₁+12 {O(n^2)}
relevant size-bounds w.r.t. t₄:
X₁: 2⋅X₅ {O(n)}
X₂: 2⋅X₆ {O(n)}
Runtime-bound of t₄: 1 {O(1)}
Results in: 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
Time-Bound by TWN-Loops:
TWN-Loops: t₈ 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
relevant size-bounds w.r.t. t₄:
X₁: 2⋅X₅ {O(n)}
X₂: 2⋅X₆ {O(n)}
Runtime-bound of t₄: 1 {O(1)}
Results in: 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
Analysing control-flow refined program
Found invariant X₂ ≤ X₆ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location n_l6___3
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location n_l6___1
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location n_l5___2
Found invariant X₂ ≤ X₆ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀ for location l5
Found invariant X₂ ≤ X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l1
Found invariant 1 ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l4
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:16⋅X₆⋅X₆+64⋅X₅⋅X₅+2⋅X₆+34 {O(n^2)}
t₀: 1 {O(1)}
t₃: X₆ {O(n)}
t₄: 1 {O(1)}
t₉: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₅: X₆ {O(n)}
t₆: 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
t₇: 1 {O(1)}
t₈: 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
Costbounds
Overall costbound: 16⋅X₆⋅X₆+64⋅X₅⋅X₅+2⋅X₆+34 {O(n^2)}
t₀: 1 {O(1)}
t₃: X₆ {O(n)}
t₄: 1 {O(1)}
t₉: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₅: X₆ {O(n)}
t₆: 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
t₇: 1 {O(1)}
t₈: 32⋅X₅⋅X₅+8⋅X₆⋅X₆+14 {O(n^2)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₃, X₀: X₆⋅X₆+X₄+X₆ {O(n^2)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₆ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₄, X₀: X₆⋅X₆+2⋅X₄+X₆ {O(n^2)}
t₄, X₁: 2⋅X₅ {O(n)}
t₄, X₂: 2⋅X₆ {O(n)}
t₄, X₃: X₆⋅X₆+2⋅X₄+X₆ {O(n^2)}
t₄, X₄: 2⋅X₄ {O(n)}
t₄, X₅: 2⋅X₅ {O(n)}
t₄, X₆: 2⋅X₆ {O(n)}
t₉, X₀: 2⋅X₆⋅X₆+2⋅X₆+4⋅X₄+X₀ {O(n^2)}
t₉, X₁: 2⋅2^(32⋅X₅⋅X₅+8⋅X₆⋅X₆+14)⋅X₅+2⋅X₅+X₁ {O(EXP)}
t₉, X₂: 4⋅X₆+X₂ {O(n)}
t₉, X₄: 5⋅X₄ {O(n)}
t₉, X₅: 5⋅X₅ {O(n)}
t₉, X₆: 5⋅X₆ {O(n)}
t₁, X₀: X₄ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₆ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₅, X₀: X₆⋅X₆+X₄+X₆ {O(n^2)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₆ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}
t₆, X₀: X₆⋅X₆+2⋅X₄+X₆ {O(n^2)}
t₆, X₁: 2⋅2^(32⋅X₅⋅X₅+8⋅X₆⋅X₆+14)⋅X₅ {O(EXP)}
t₆, X₂: 2⋅X₆ {O(n)}
t₆, X₄: 2⋅X₄ {O(n)}
t₆, X₅: 2⋅X₅ {O(n)}
t₆, X₆: 2⋅X₆ {O(n)}
t₇, X₀: 2⋅X₆⋅X₆+2⋅X₆+4⋅X₄ {O(n^2)}
t₇, X₁: 2⋅2^(32⋅X₅⋅X₅+8⋅X₆⋅X₆+14)⋅X₅+2⋅X₅ {O(EXP)}
t₇, X₂: 4⋅X₆ {O(n)}
t₇, X₄: 4⋅X₄ {O(n)}
t₇, X₅: 4⋅X₅ {O(n)}
t₇, X₆: 4⋅X₆ {O(n)}
t₈, X₀: X₆⋅X₆+2⋅X₄+X₆ {O(n^2)}
t₈, X₁: 2⋅2^(32⋅X₅⋅X₅+8⋅X₆⋅X₆+14)⋅X₅ {O(EXP)}
t₈, X₂: 2⋅X₆ {O(n)}
t₈, X₄: 2⋅X₄ {O(n)}
t₈, X₅: 2⋅X₅ {O(n)}
t₈, X₆: 2⋅X₆ {O(n)}