Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(0, H, I, 0, X₄, X₅, X₆)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃+1, X₄, X₅, X₆) :|: X₃ ≤ 49
t₁₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 50 ≤ X₃
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄+1, X₅, X₆) :|: X₄ ≤ 49
t₁₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(0, X₁, X₂, X₃, X₄, X₅, X₆) :|: 50 ≤ X₄
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49
t₁₀: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, 0, X₆) :|: 50 ≤ X₀
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆) :|: X₅ ≤ 49
t₉: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, 0) :|: 50 ≤ X₅
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆+1) :|: X₆ ≤ 49
t₈: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(0, X₁, X₂, X₃, X₄, X₅, X₆) :|: 50 ≤ X₆
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀+1, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49
t₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 50 ≤ X₀

Preprocessing

Eliminate variables {H,I,X₁,X₂} that do not contribute to the problem

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l6

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l7

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l5

Found invariant X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l4

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l3

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7
Transitions:
t₃₂: l0(X₀, X₃, X₄, X₅, X₆) → l1(0, 0, X₄, X₅, X₆)
t₃₃: l1(X₀, X₃, X₄, X₅, X₆) → l1(X₀, X₃+1, X₄, X₅, X₆) :|: X₃ ≤ 49 ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₃₄: l1(X₀, X₃, X₄, X₅, X₆) → l2(X₀, X₃, 0, X₅, X₆) :|: 50 ≤ X₃ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₃₅: l2(X₀, X₃, X₄, X₅, X₆) → l2(X₀, X₃, X₄+1, X₅, X₆) :|: X₄ ≤ 49 ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₃₆: l2(X₀, X₃, X₄, X₅, X₆) → l3(0, X₃, X₄, X₅, X₆) :|: 50 ≤ X₄ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₃₇: l3(X₀, X₃, X₄, X₅, X₆) → l3(X₀+1, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49 ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀
t₃₈: l3(X₀, X₃, X₄, X₅, X₆) → l4(X₀, X₃, X₄, 0, X₆) :|: 50 ≤ X₀ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀
t₃₉: l4(X₀, X₃, X₄, X₅, X₆) → l4(X₀, X₃, X₄, X₅+1, X₆) :|: X₅ ≤ 49 ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀
t₄₀: l4(X₀, X₃, X₄, X₅, X₆) → l5(X₀, X₃, X₄, X₅, 0) :|: 50 ≤ X₅ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀
t₄₁: l5(X₀, X₃, X₄, X₅, X₆) → l5(X₀, X₃, X₄, X₅, X₆+1) :|: X₆ ≤ 49 ∧ X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀
t₄₂: l5(X₀, X₃, X₄, X₅, X₆) → l6(0, X₃, X₄, X₅, X₆) :|: 50 ≤ X₆ ∧ X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀
t₄₃: l6(X₀, X₃, X₄, X₅, X₆) → l6(X₀+1, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49 ∧ X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀
t₄₄: l6(X₀, X₃, X₄, X₅, X₆) → l7(X₀, X₃, X₄, X₅, X₆) :|: 50 ≤ X₀ ∧ X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l6

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l7

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l5

Found invariant X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l4

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l3

Time-Bound by TWN-Loops:

TWN-Loops: t₃₃ 102 {O(1)}

TWN-Loops:

entry: t₃₂: l0(X₀, X₃, X₄, X₅, X₆) → l1(0, 0, X₄, X₅, X₆)
results in twn-loop: twn:Inv: [X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀] , (X₀,X₃,X₄,X₅,X₆) -> (X₀,X₃+1,X₄,X₅,X₆) :|: X₃ ≤ 49
order: [X₀; X₃]
closed-form:
X₀: X₀
X₃: X₃ + [[n != 0]] * n^1

Termination: true
Formula:

1 < 0
∨ X₃ < 49 ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₃ ≤ 49 ∧ 49 ≤ X₃

Stabilization-Threshold for: X₃ ≤ 49
alphas_abs: X₃+49
M: 0
N: 1
Bound: 2⋅X₃+100 {O(n)}

relevant size-bounds w.r.t. t₃₂:
X₃: 0 {O(1)}
Runtime-bound of t₃₂: 1 {O(1)}
Results in: 102 {O(1)}

102 {O(1)}

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l6

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l7

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l5

Found invariant X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l4

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l3

Time-Bound by TWN-Loops:

TWN-Loops: t₃₅ 102 {O(1)}

TWN-Loops:

entry: t₃₄: l1(X₀, X₃, X₄, X₅, X₆) → l2(X₀, X₃, 0, X₅, X₆) :|: 50 ≤ X₃ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
results in twn-loop: twn:Inv: [X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀] , (X₀,X₃,X₄,X₅,X₆) -> (X₀,X₃,X₄+1,X₅,X₆) :|: X₄ ≤ 49
order: [X₀; X₃; X₄]
closed-form:
X₀: X₀
X₃: X₃
X₄: X₄ + [[n != 0]] * n^1

Termination: true
Formula:

1 < 0
∨ X₄ < 49 ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₄ ≤ 49 ∧ 49 ≤ X₄

Stabilization-Threshold for: X₄ ≤ 49
alphas_abs: X₄+49
M: 0
N: 1
Bound: 2⋅X₄+100 {O(n)}

relevant size-bounds w.r.t. t₃₄:
X₄: 0 {O(1)}
Runtime-bound of t₃₄: 1 {O(1)}
Results in: 102 {O(1)}

102 {O(1)}

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l6

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l7

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l5

Found invariant X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l4

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l3

Time-Bound by TWN-Loops:

TWN-Loops: t₃₇ 102 {O(1)}

TWN-Loops:

entry: t₃₆: l2(X₀, X₃, X₄, X₅, X₆) → l3(0, X₃, X₄, X₅, X₆) :|: 50 ≤ X₄ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
results in twn-loop: twn:Inv: [X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀] , (X₀,X₃,X₄,X₅,X₆) -> (X₀+1,X₃,X₄,X₅,X₆) :|: X₀ ≤ 49
order: [X₀; X₃; X₄]
closed-form:
X₀: X₀ + [[n != 0]] * n^1
X₃: X₃
X₄: X₄

Termination: true
Formula:

1 < 0
∨ X₀ < 49 ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ 49 ∧ 49 ≤ X₀

Stabilization-Threshold for: X₀ ≤ 49
alphas_abs: X₀+49
M: 0
N: 1
Bound: 2⋅X₀+100 {O(n)}

relevant size-bounds w.r.t. t₃₆:
X₀: 0 {O(1)}
Runtime-bound of t₃₆: 1 {O(1)}
Results in: 102 {O(1)}

102 {O(1)}

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l6

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l7

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l5

Found invariant X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l4

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l3

Time-Bound by TWN-Loops:

TWN-Loops: t₃₉ 102 {O(1)}

TWN-Loops:

entry: t₃₈: l3(X₀, X₃, X₄, X₅, X₆) → l4(X₀, X₃, X₄, 0, X₆) :|: 50 ≤ X₀ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀
results in twn-loop: twn:Inv: [X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀] , (X₀,X₃,X₄,X₅,X₆) -> (X₀,X₃,X₄,X₅+1,X₆) :|: X₅ ≤ 49
order: [X₀; X₃; X₄; X₅]
closed-form:
X₀: X₀
X₃: X₃
X₄: X₄
X₅: X₅ + [[n != 0]] * n^1

Termination: true
Formula:

1 < 0
∨ X₅ < 49 ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₅ ≤ 49 ∧ 49 ≤ X₅

Stabilization-Threshold for: X₅ ≤ 49
alphas_abs: X₅+49
M: 0
N: 1
Bound: 2⋅X₅+100 {O(n)}

relevant size-bounds w.r.t. t₃₈:
X₅: 0 {O(1)}
Runtime-bound of t₃₈: 1 {O(1)}
Results in: 102 {O(1)}

102 {O(1)}

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l6

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l7

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l5

Found invariant X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l4

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l3

Time-Bound by TWN-Loops:

TWN-Loops: t₄₁ 102 {O(1)}

TWN-Loops:

entry: t₄₀: l4(X₀, X₃, X₄, X₅, X₆) → l5(X₀, X₃, X₄, X₅, 0) :|: 50 ≤ X₅ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀
results in twn-loop: twn:Inv: [X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀] , (X₀,X₃,X₄,X₅,X₆) -> (X₀,X₃,X₄,X₅,X₆+1) :|: X₆ ≤ 49
order: [X₀; X₃; X₄; X₅; X₆]
closed-form:
X₀: X₀
X₃: X₃
X₄: X₄
X₅: X₅
X₆: X₆ + [[n != 0]] * n^1

Termination: true
Formula:

1 < 0
∨ X₆ < 49 ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₆ ≤ 49 ∧ 49 ≤ X₆

Stabilization-Threshold for: X₆ ≤ 49
alphas_abs: X₆+49
M: 0
N: 1
Bound: 2⋅X₆+100 {O(n)}

relevant size-bounds w.r.t. t₄₀:
X₆: 0 {O(1)}
Runtime-bound of t₄₀: 1 {O(1)}
Results in: 102 {O(1)}

102 {O(1)}

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 50 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ 50+X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l2

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l6

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l7

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l5

Found invariant X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location l1

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location l4

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location l3

Time-Bound by TWN-Loops:

TWN-Loops: t₄₃ 102 {O(1)}

TWN-Loops:

entry: t₄₂: l5(X₀, X₃, X₄, X₅, X₆) → l6(0, X₃, X₄, X₅, X₆) :|: 50 ≤ X₆ ∧ X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 100 ∧ 0 ≤ X₆ ∧ 50 ≤ X₅+X₆ ∧ X₅ ≤ 50+X₆ ∧ 50 ≤ X₄+X₆ ∧ X₄ ≤ 50+X₆ ∧ 50 ≤ X₃+X₆ ∧ X₃ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀
results in twn-loop: twn:Inv: [X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ 50+X₀ ∧ X₀+X₆ ≤ 100 ∧ 50 ≤ X₆ ∧ 100 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 100 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 100 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀] , (X₀,X₃,X₄,X₅,X₆) -> (X₀+1,X₃,X₄,X₅,X₆) :|: X₀ ≤ 49
order: [X₀; X₃; X₄; X₅; X₆]
closed-form:
X₀: X₀ + [[n != 0]] * n^1
X₃: X₃
X₄: X₄
X₅: X₅
X₆: X₆

Termination: true
Formula:

1 < 0
∨ X₀ < 49 ∧ 1 ≤ 0 ∧ 0 ≤ 1
∨ 1 ≤ 0 ∧ 0 ≤ 1 ∧ X₀ ≤ 49 ∧ 49 ≤ X₀

Stabilization-Threshold for: X₀ ≤ 49
alphas_abs: X₀+49
M: 0
N: 1
Bound: 2⋅X₀+100 {O(n)}

relevant size-bounds w.r.t. t₄₂:
X₀: 0 {O(1)}
Runtime-bound of t₄₂: 1 {O(1)}
Results in: 102 {O(1)}

102 {O(1)}

All Bounds

Timebounds

Overall timebound:619 {O(1)}
t₃₂: 1 {O(1)}
t₃₃: 102 {O(1)}
t₃₄: 1 {O(1)}
t₃₅: 102 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 102 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 102 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 102 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 102 {O(1)}
t₄₄: 1 {O(1)}

Costbounds

Overall costbound: 619 {O(1)}
t₃₂: 1 {O(1)}
t₃₃: 102 {O(1)}
t₃₄: 1 {O(1)}
t₃₅: 102 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 102 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 102 {O(1)}
t₄₀: 1 {O(1)}
t₄₁: 102 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 102 {O(1)}
t₄₄: 1 {O(1)}

Sizebounds

t₃₂, X₀: 0 {O(1)}
t₃₂, X₃: 0 {O(1)}
t₃₂, X₄: X₄ {O(n)}
t₃₂, X₅: X₅ {O(n)}
t₃₂, X₆: X₆ {O(n)}
t₃₃, X₀: 0 {O(1)}
t₃₃, X₃: 50 {O(1)}
t₃₃, X₄: X₄ {O(n)}
t₃₃, X₅: X₅ {O(n)}
t₃₃, X₆: X₆ {O(n)}
t₃₄, X₀: 0 {O(1)}
t₃₄, X₃: 50 {O(1)}
t₃₄, X₄: 0 {O(1)}
t₃₄, X₅: X₅ {O(n)}
t₃₄, X₆: X₆ {O(n)}
t₃₅, X₀: 0 {O(1)}
t₃₅, X₃: 50 {O(1)}
t₃₅, X₄: 50 {O(1)}
t₃₅, X₅: X₅ {O(n)}
t₃₅, X₆: X₆ {O(n)}
t₃₆, X₀: 0 {O(1)}
t₃₆, X₃: 50 {O(1)}
t₃₆, X₄: 50 {O(1)}
t₃₆, X₅: X₅ {O(n)}
t₃₆, X₆: X₆ {O(n)}
t₃₇, X₀: 50 {O(1)}
t₃₇, X₃: 50 {O(1)}
t₃₇, X₄: 50 {O(1)}
t₃₇, X₅: X₅ {O(n)}
t₃₇, X₆: X₆ {O(n)}
t₃₈, X₀: 50 {O(1)}
t₃₈, X₃: 50 {O(1)}
t₃₈, X₄: 50 {O(1)}
t₃₈, X₅: 0 {O(1)}
t₃₈, X₆: X₆ {O(n)}
t₃₉, X₀: 50 {O(1)}
t₃₉, X₃: 50 {O(1)}
t₃₉, X₄: 50 {O(1)}
t₃₉, X₅: 50 {O(1)}
t₃₉, X₆: X₆ {O(n)}
t₄₀, X₀: 50 {O(1)}
t₄₀, X₃: 50 {O(1)}
t₄₀, X₄: 50 {O(1)}
t₄₀, X₅: 50 {O(1)}
t₄₀, X₆: 0 {O(1)}
t₄₁, X₀: 50 {O(1)}
t₄₁, X₃: 50 {O(1)}
t₄₁, X₄: 50 {O(1)}
t₄₁, X₅: 50 {O(1)}
t₄₁, X₆: 50 {O(1)}
t₄₂, X₀: 0 {O(1)}
t₄₂, X₃: 50 {O(1)}
t₄₂, X₄: 50 {O(1)}
t₄₂, X₅: 50 {O(1)}
t₄₂, X₆: 50 {O(1)}
t₄₃, X₀: 50 {O(1)}
t₄₃, X₃: 50 {O(1)}
t₄₃, X₄: 50 {O(1)}
t₄₃, X₅: 50 {O(1)}
t₄₃, X₆: 50 {O(1)}
t₄₄, X₀: 50 {O(1)}
t₄₄, X₃: 50 {O(1)}
t₄₄, X₄: 50 {O(1)}
t₄₄, X₅: 50 {O(1)}
t₄₄, X₆: 50 {O(1)}