Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: l0, l1, l2, l3
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l1(0, 0, X₂, X₃)
t₁: l1(X₀, X₁, X₂, X₃) → l1(X₀, X₁+1, X₂, X₃) :|: X₁+1 ≤ X₂
t₂: l1(X₀, X₁, X₂, X₃) → l1(X₀+2, X₁+1, X₂, X₃) :|: X₁+1 ≤ X₂
t₈: l1(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₀, 1) :|: X₂ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀
t₆: l1(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₁ ∧ X₀+1 ≤ X₂
t₇: l1(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₂ ≤ X₁
t₃: l3(X₀, X₁, X₂, X₃) → l2(X₂+1, X₁, X₂, 1) :|: X₀ ≤ X₂+1 ∧ X₂+1 ≤ X₀
t₄: l3(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, 0) :|: X₀ ≤ X₂
t₅: l3(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, 0) :|: 2+X₂ ≤ X₀
Preprocessing
Eliminate variables {X₃} that do not contribute to the problem
Found invariant X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l2
Found invariant 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l1
Found invariant X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1, l2, l3
Transitions:
t₂₀: l0(X₀, X₁, X₂) → l1(0, 0, X₂)
t₂₁: l1(X₀, X₁, X₂) → l1(X₀, X₁+1, X₂) :|: X₁+1 ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₂: l1(X₀, X₁, X₂) → l1(X₀+2, X₁+1, X₂) :|: X₁+1 ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₅: l1(X₀, X₁, X₂) → l2(X₀, X₁, X₀) :|: X₂ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₃: l1(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: X₂ ≤ X₁ ∧ X₀+1 ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₄: l1(X₀, X₁, X₂) → l3(X₀, X₁, X₂) :|: 1+X₂ ≤ X₀ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₆: l3(X₀, X₁, X₂) → l2(X₂+1, X₁, X₂) :|: X₀ ≤ X₂+1 ∧ X₂+1 ≤ X₀ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₇: l3(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
t₂₈: l3(X₀, X₁, X₂) → l2(X₀, X₁, X₂) :|: 2+X₂ ≤ X₀ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀
Analysing control-flow refined program
Cut unsatisfiable transition t₂₃: l1→l3
Found invariant X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l2
Found invariant 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l1___2
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1
Found invariant X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l3
Found invariant 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location n_l1___1
Cut unsatisfiable transition t₁₁₁: n_l1___2→l2
Cut unsatisfiable transition t₁₁₅: n_l1___2→l3
Cut unsatisfiable transition t₁₁₇: n_l1___2→l2
Cut unsatisfiable transition t₁₂₁: n_l1___2→l3
Found invariant X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l2
Found invariant 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l1___2
Found invariant X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1
Found invariant X₂ ≤ X₁ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l3
Found invariant 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location n_l1___1
Time-Bound by TWN-Loops:
TWN-Loops: t₉₇ 4⋅X₂+23 {O(n)}
TWN-Loops:
entry: t₉₉: l1(X₀, X₁, X₂) → n_l1___2(X₀, X₁+1, X₂) :|: 0 ≤ X₁ ∧ 0 ≤ X₀ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
results in twn-loop: twn:Inv: [1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀] , (X₀,X₁,X₂) -> (X₀,X₁+1,X₂) :|: 0 ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ 1+X₁ ≤ X₂
order: [X₀; X₁; X₂]
closed-form:
X₀: X₀
X₁: X₁ + [[n != 0]] * n^1
X₂: X₂
Termination: true
Formula:
0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 0 < 1 ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 0 < 1 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1 < 0 ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1 < 0 ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1 < 0 ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1 < 0 ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 0 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 0 < X₁ ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 0 < X₁ ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 0 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1 < 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ < X₂ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < 1 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 < X₁ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 < X₀ ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 < 0 ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ < X₂ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 < 1
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0
∨ 1+X₁ ≤ X₂ ∧ X₂ ≤ 1+X₁ ∧ 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₁ ∧ X₁ ≤ 1
Stabilization-Threshold for: 1+X₁ ≤ X₂
alphas_abs: 1+X₁+X₂
M: 0
N: 1
Bound: 2⋅X₁+2⋅X₂+4 {O(n)}
Stabilization-Threshold for: 0 ≤ X₁
alphas_abs: X₁
M: 0
N: 1
Bound: 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)}
Stabilization-Threshold for: 1 ≤ X₁
alphas_abs: 1+X₁
M: 0
N: 1
Bound: 2⋅X₁+4 {O(n)}
relevant size-bounds w.r.t. t₉₉:
X₁: 1 {O(1)}
X₂: X₂ {O(n)}
Runtime-bound of t₉₉: 1 {O(1)}
Results in: 4⋅X₂+23 {O(n)}
4⋅X₂+23 {O(n)}
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: inf {Infinity}
t₂₂: inf {Infinity}
t₂₃: 1 {O(1)}
t₂₄: 1 {O(1)}
t₂₅: 1 {O(1)}
t₂₆: 1 {O(1)}
t₂₇: 1 {O(1)}
t₂₈: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: inf {Infinity}
t₂₂: inf {Infinity}
t₂₃: 1 {O(1)}
t₂₄: 1 {O(1)}
t₂₅: 1 {O(1)}
t₂₆: 1 {O(1)}
t₂₇: 1 {O(1)}
t₂₈: 1 {O(1)}
Sizebounds
t₂₀, X₀: 0 {O(1)}
t₂₀, X₁: 0 {O(1)}
t₂₀, X₂: X₂ {O(n)}
t₂₁, X₂: 2⋅X₂ {O(n)}
t₂₂, X₂: 2⋅X₂ {O(n)}
t₂₃, X₂: 4⋅X₂ {O(n)}
t₂₄, X₂: 5⋅X₂ {O(n)}
t₂₆, X₂: 5⋅X₂ {O(n)}
t₂₇, X₂: 4⋅X₂ {O(n)}
t₂₈, X₂: 5⋅X₂ {O(n)}