Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ < X₄
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₄ ≤ X₀
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₃, X₅, X₂, X₃, X₄, X₅)
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀+1, X₁, X₂, X₃, X₄, X₅) :|: X₀ < X₁ ∧ X₀ < X₁
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ < X₁ ∧ X₁ ≤ X₀
t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀+1, X₁+1, X₂, X₃, X₄, X₅) :|: X₁ ≤ X₀ ∧ X₀ < X₁
t₇: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁+1, X₂, X₃, X₄, X₅) :|: X₁ ≤ X₀ ∧ X₁ ≤ X₀
t₈: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₁, X₂, X₃, X₄, X₅)
Preprocessing
Cut unsatisfiable transition t₅: l3→l1
Cut unsatisfiable transition t₆: l3→l1
Eliminate variables {X₂} that do not contribute to the problem
Found invariant X₅ ≤ X₁ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₀ for location l5
Found invariant X₅ ≤ X₁ ∧ X₃ ≤ X₀ for location l1
Found invariant X₅ ≤ X₁ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₀ for location l4
Found invariant X₅ ≤ X₁ ∧ 1+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5
Transitions:
t₁₈: l0(X₀, X₁, X₃, X₄, X₅) → l2(X₀, X₁, X₃, X₄, X₅)
t₁₉: l1(X₀, X₁, X₃, X₄, X₅) → l3(X₀, X₁, X₃, X₄, X₅) :|: X₀ < X₄ ∧ X₅ ≤ X₁ ∧ X₃ ≤ X₀
t₂₀: l1(X₀, X₁, X₃, X₄, X₅) → l4(X₀, X₁, X₃, X₄, X₅) :|: X₄ ≤ X₀ ∧ X₅ ≤ X₁ ∧ X₃ ≤ X₀
t₂₁: l2(X₀, X₁, X₃, X₄, X₅) → l1(X₃, X₅, X₃, X₄, X₅)
t₂₂: l3(X₀, X₁, X₃, X₄, X₅) → l1(X₀+1, X₁, X₃, X₄, X₅) :|: X₀ < X₁ ∧ X₀ < X₁ ∧ X₅ ≤ X₁ ∧ 1+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀
t₂₃: l3(X₀, X₁, X₃, X₄, X₅) → l1(X₀, X₁+1, X₃, X₄, X₅) :|: X₁ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₅ ≤ X₁ ∧ 1+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀
t₂₄: l4(X₀, X₁, X₃, X₄, X₅) → l5(X₀, X₁, X₃, X₄, X₅) :|: X₅ ≤ X₁ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₀
Analysing control-flow refined program
Cut unsatisfiable transition t₁₄₄: n_l1___5→l4
Found invariant X₅ ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___6
Found invariant X₅ ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₀ ≤ X₅ ∧ 2+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l3___4
Found invariant 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 1+X₃ ≤ X₄ ∧ X₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₁ ≤ 1+X₀ for location n_l3___3
Found invariant 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 1+X₃ ≤ X₄ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___2
Found invariant X₅ ≤ X₁ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₀ for location l5
Found invariant 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 1+X₃ ≤ X₄ ∧ X₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₁ ≤ 1+X₀ for location n_l1___5
Found invariant X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location l1
Found invariant X₅ ≤ X₁ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₀ for location l4
Found invariant 2+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 2+X₃ ≤ X₄ ∧ 1+X₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l3___1
Found invariant X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location n_l3___7
Found invariant X₅ ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___6
Found invariant X₅ ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₀ ≤ X₅ ∧ 2+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l3___4
Found invariant 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 1+X₃ ≤ X₄ ∧ X₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₁ ≤ 1+X₀ for location n_l3___3
Found invariant 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 1+X₃ ≤ X₄ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l1___2
Found invariant X₅ ≤ X₁ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₀ for location l5
Found invariant 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 1+X₃ ≤ X₄ ∧ X₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₁ ≤ 1+X₀ for location n_l1___5
Found invariant X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location l1
Found invariant X₅ ≤ X₁ ∧ X₄ ≤ X₀ ∧ X₃ ≤ X₀ for location l4
Found invariant 2+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₁ ∧ 1+X₅ ≤ X₀ ∧ 2+X₃ ≤ X₄ ∧ 1+X₁ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location n_l3___1
Found invariant X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location n_l3___7
Time-Bound by TWN-Loops:
TWN-Loops: t₁₂₈ 10⋅X₃+2⋅X₅+4⋅X₄+21 {O(n)}
TWN-Loops:
entry: t₁₃₆: n_l3___7(X₀, X₁, X₃, X₄, X₅) → n_l1___6(X₀+1, X₁, X₃, X₄, X₅) :|: X₀ < X₄ ∧ X₁ ≤ X₅ ∧ X₅ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ X₅ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ < X₁ ∧ 1+X₀ ≤ X₄ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃
results in twn-loop: twn:Inv: [X₅ ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₅ ≤ X₁ ∧ 1+X₃ ≤ X₅ ∧ X₁ ≤ X₅ ∧ X₀ ≤ X₅ ∧ 2+X₃ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₁] , (X₀,X₁,X₃,X₄,X₅) -> (X₀+1,X₁,X₃,X₄,X₅) :|: X₃ ≤ X₀ ∧ X₅ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₅ ≤ X₁ ∧ X₀ < X₄ ∧ X₀ < X₄ ∧ X₃ ≤ X₀ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₃ ≤ X₀ ∧ X₀ < X₁ ∧ 1+X₀ ≤ X₄
order: [X₀; X₁; X₃; X₄; X₅]
closed-form:
X₀: X₀ + [[n != 0]] * n^1
X₁: X₁
X₃: X₃
X₄: X₄
X₅: X₅
Termination: true
Formula:
0 < 1 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1 < 0 ∧ 0 < 1 ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1 < 0 ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1 < 0 ∧ X₃ < X₀ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1 < 0 ∧ X₃ < X₀ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ 1 < 0
∨ 1 < 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1 < 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1 < 0 ∧ X₀ < X₁ ∧ 0 < 1 ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1 < 0 ∧ X₀ < X₁ ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1 < 0 ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1 < 0 ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ 1 < 0
∨ 1 < 0 ∧ X₀ < X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1 < 0 ∧ X₀ < X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ 1 < 0 ∧ 0 < 1 ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ 1 < 0 ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ 1 < 0 ∧ X₃ < X₀ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ 1 < 0 ∧ X₃ < X₀ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ 1 < 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ 1 < 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ 0 < 1 ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ < X₄ ∧ X₀ < X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 0 < 1 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 1 < 0 ∧ 0 < 1 ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 1 < 0 ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 1 < 0 ∧ X₃ < X₀ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 1 < 0 ∧ X₃ < X₀ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 1 < 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ 1 < 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ 0 < 1 ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ 1 ≤ 0 ∧ 0 ≤ 1 ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ 0 < 1 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ X₃ < X₀ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ < X₁ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ 1 < 0
∨ 1+X₀ ≤ X₄ ∧ X₄ ≤ 1+X₀ ∧ X₀ < X₁ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₀ < X₄ ∧ 1 ≤ 0 ∧ 0 ≤ 1
Stabilization-Threshold for: 1+X₀ ≤ X₄
alphas_abs: 1+X₀+X₄
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₄+4 {O(n)}
Stabilization-Threshold for: X₀ < X₁
alphas_abs: X₀+X₁
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₁+2 {O(n)}
Stabilization-Threshold for: X₃ ≤ X₀
alphas_abs: X₀+X₃
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₃+2 {O(n)}
Stabilization-Threshold for: X₀ < X₄
alphas_abs: X₀+X₄
M: 0
N: 1
Bound: 2⋅X₀+2⋅X₄+2 {O(n)}
relevant size-bounds w.r.t. t₁₃₆:
X₀: X₃+1 {O(n)}
X₁: X₅ {O(n)}
X₃: X₃ {O(n)}
X₄: X₄ {O(n)}
Runtime-bound of t₁₃₆: 1 {O(1)}
Results in: 10⋅X₃+2⋅X₅+4⋅X₄+21 {O(n)}
10⋅X₃+2⋅X₅+4⋅X₄+21 {O(n)}
Time-Bound by TWN-Loops:
TWN-Loops: t₁₃₄ 10⋅X₃+2⋅X₅+4⋅X₄+21 {O(n)}
relevant size-bounds w.r.t. t₁₃₆:
X₀: X₃+1 {O(n)}
X₁: X₅ {O(n)}
X₃: X₃ {O(n)}
X₄: X₄ {O(n)}
Runtime-bound of t₁₃₆: 1 {O(1)}
Results in: 10⋅X₃+2⋅X₅+4⋅X₄+21 {O(n)}
10⋅X₃+2⋅X₅+4⋅X₄+21 {O(n)}
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}
t₂₂: inf {Infinity}
t₂₃: inf {Infinity}
t₂₄: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₀: 1 {O(1)}
t₂₁: 1 {O(1)}
t₂₂: inf {Infinity}
t₂₃: inf {Infinity}
t₂₄: 1 {O(1)}
Sizebounds
t₁₈, X₀: X₀ {O(n)}
t₁₈, X₁: X₁ {O(n)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: X₄ {O(n)}
t₁₈, X₅: X₅ {O(n)}
t₁₉, X₃: X₃ {O(n)}
t₁₉, X₄: X₄ {O(n)}
t₁₉, X₅: X₅ {O(n)}
t₂₀, X₃: 2⋅X₃ {O(n)}
t₂₀, X₄: 2⋅X₄ {O(n)}
t₂₀, X₅: 2⋅X₅ {O(n)}
t₂₁, X₀: X₃ {O(n)}
t₂₁, X₁: X₅ {O(n)}
t₂₁, X₃: X₃ {O(n)}
t₂₁, X₄: X₄ {O(n)}
t₂₁, X₅: X₅ {O(n)}
t₂₂, X₃: X₃ {O(n)}
t₂₂, X₄: X₄ {O(n)}
t₂₂, X₅: X₅ {O(n)}
t₂₃, X₃: X₃ {O(n)}
t₂₃, X₄: X₄ {O(n)}
t₂₃, X₅: X₅ {O(n)}
t₂₄, X₃: 2⋅X₃ {O(n)}
t₂₄, X₄: 2⋅X₄ {O(n)}
t₂₄, X₅: 2⋅X₅ {O(n)}