Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁
Temp_Vars: M, N
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(1, 1, 10, M, N, 0, X₆, X₇, X₈, X₉, X₁₀, X₁₁)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l1(X₀, X₁, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₂
t₂₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(X₀, X₁, X₂, X₃, X₄, 0, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ X₅
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, 0, 0, X₈, X₉, X₁₀, X₁₁) :|: X₅+1 ≤ X₂
t₂₅: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l4(X₀, X₁, X₂, X₃, X₄, 0, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₂ ≤ X₅
t₂₄: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(0, X₁, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, 0, X₁₀, X₁₁) :|: X₂ ≤ X₇ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, 1, X₇+1, 1, X₉, X₁₀, X₁₁) :|: X₆+1 ≤ 0 ∧ X₇+1 ≤ X₂
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, 1, X₇+1, 1, X₉, X₁₀, X₁₁) :|: 1 ≤ X₆ ∧ X₇+1 ≤ X₂
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, 1, X₇+1, 1, X₉, X₁₀, X₁₁) :|: X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆
t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, 0, X₇+1, 0, X₉, X₁₀, X₁₁) :|: N+1 ≤ M ∧ X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆
t₇: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l3(X₀, X₁, X₂, X₃, X₄, X₅, 0, X₇+1, 0, X₉, X₁₀, X₁₁) :|: X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆
t₂₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀+1 ≤ 0 ∧ X₂ ≤ X₇
t₂₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ X₂ ≤ X₇
t₁₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l4(X₀, 0, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, X₉, 0, X₁₁) :|: 2+X₅ ≤ X₂ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁
t₁₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₁+1 ≤ 0 ∧ 2+X₅ ≤ X₂
t₁₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₁ ∧ 2+X₅ ≤ X₂
t₁₉: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: X₀+1 ≤ 0 ∧ X₂ ≤ X₅+1
t₂₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) :|: 1 ≤ X₀ ∧ X₂ ≤ X₅+1
t₂₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l8(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, 1) :|: X₂ ≤ X₅+1 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₈: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(1, X₁, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, 1, X₁₀, X₁₁) :|: X₆+1 ≤ 0
t₉: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(1, X₁, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, 1, X₁₀, X₁₁) :|: 1 ≤ X₆
t₁₀: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l2(0, X₁, X₂, X₃, X₄, X₅+1, 0, X₇, X₈, 0, X₁₀, X₁₁) :|: X₆ ≤ 0 ∧ 0 ≤ X₆
t₁₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l4(X₀, 1, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, X₉, 1, X₁₁) :|: N+1 ≤ M
t₁₄: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l4(X₀, 0, X₂, X₃, X₄, X₅+1, X₆, X₇, X₈, X₉, 0, X₁₁)
t₁₆: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, 0) :|: X₁+1 ≤ 0
t₁₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, 0) :|: 1 ≤ X₁
t₁₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁) → l8(X₀, 0, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, 1) :|: X₁ ≤ 0 ∧ 0 ≤ X₁

Preprocessing

Cut unsatisfiable transition t₃: l3→l3

Eliminate variables {X₃,X₄,X₈,X₉,X₁₀,X₁₁} that do not contribute to the problem

Found invariant 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location l2

Found invariant X₅ ≤ 8 ∧ 2+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 18 ∧ X₅ ≤ 7+X₁ ∧ X₁+X₅ ≤ 9 ∧ X₅ ≤ 8+X₀ ∧ X₀+X₅ ≤ 9 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location l6

Found invariant 9 ≤ X₅ ∧ 19 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 9 ≤ X₁+X₅ ∧ 8+X₁ ≤ X₅ ∧ 10 ≤ X₀+X₅ ∧ 8+X₀ ≤ X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 11 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location l7

Found invariant 10 ≤ X₇ ∧ 10 ≤ X₆+X₇ ∧ 9+X₆ ≤ X₇ ∧ 10 ≤ X₅+X₇ ∧ 20 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 11 ≤ X₁+X₇ ∧ 9+X₁ ≤ X₇ ∧ 9+X₀ ≤ X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 for location l5

Found invariant 9 ≤ X₅ ∧ 19 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 9 ≤ X₁+X₅ ∧ 8+X₁ ≤ X₅ ∧ 9 ≤ X₀+X₅ ∧ 8+X₀ ≤ X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location l8

Found invariant X₅ ≤ 10 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 20 ∧ X₅ ≤ 9+X₁ ∧ X₁+X₅ ≤ 11 ∧ X₅ ≤ 9+X₀ ∧ X₀+X₅ ≤ 11 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 11 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location l1

Found invariant 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location l4

Found invariant 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 for location l3

Cut unsatisfiable transition t₇₉: l4→l6

Cut unsatisfiable transition t₈₂: l4→l7

Cut unsatisfiable transition t₈₅: l5→l2

Cut unsatisfiable transition t₉₀: l7→l8

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂, X₅, X₆, X₇
Temp_Vars: M, N
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8
Transitions:
t₆₇: l0(X₀, X₁, X₂, X₅, X₆, X₇) → l1(1, 1, 10, 0, X₆, X₇)
t₆₈: l1(X₀, X₁, X₂, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₅+1, X₆, X₇) :|: X₅+1 ≤ X₂ ∧ X₅ ≤ 10 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 20 ∧ X₅ ≤ 9+X₁ ∧ X₁+X₅ ≤ 11 ∧ X₅ ≤ 9+X₀ ∧ X₀+X₅ ≤ 11 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 11 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₆₉: l1(X₀, X₁, X₂, X₅, X₆, X₇) → l2(X₀, X₁, X₂, 0, X₆, X₇) :|: X₂ ≤ X₅ ∧ X₅ ≤ 10 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 20 ∧ X₅ ≤ 9+X₁ ∧ X₁+X₅ ≤ 11 ∧ X₅ ≤ 9+X₀ ∧ X₀+X₅ ≤ 11 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 11 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₇₀: l2(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 0, 0) :|: X₅+1 ≤ X₂ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₇₁: l2(X₀, X₁, X₂, X₅, X₆, X₇) → l4(X₀, X₁, X₂, 0, X₆, X₇) :|: X₂ ≤ X₅ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₇₈: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l2(0, X₁, X₂, X₅+1, X₆, X₇) :|: X₂ ≤ X₇ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₇₂: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 1, X₇+1) :|: 1 ≤ X₆ ∧ X₇+1 ≤ X₂ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₇₃: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 1, X₇+1) :|: X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₇₄: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 0, X₇+1) :|: N+1 ≤ M ∧ X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₇₅: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 0, X₇+1) :|: X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₇₆: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₅, X₆, X₇) :|: X₀+1 ≤ 0 ∧ X₂ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₇₇: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ X₂ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₈₁: l4(X₀, X₁, X₂, X₅, X₆, X₇) → l4(X₀, 0, X₂, X₅+1, X₆, X₇) :|: 2+X₅ ≤ X₂ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₈₀: l4(X₀, X₁, X₂, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₈₃: l4(X₀, X₁, X₂, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ X₂ ≤ X₅+1 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₈₄: l4(X₀, X₁, X₂, X₅, X₆, X₇) → l8(0, X₁, X₂, X₅, X₆, X₇) :|: X₂ ≤ X₅+1 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₈₆: l5(X₀, X₁, X₂, X₅, X₆, X₇) → l2(1, X₁, X₂, X₅+1, X₆, X₇) :|: 1 ≤ X₆ ∧ 10 ≤ X₇ ∧ 10 ≤ X₆+X₇ ∧ 9+X₆ ≤ X₇ ∧ 10 ≤ X₅+X₇ ∧ 20 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 11 ≤ X₁+X₇ ∧ 9+X₁ ≤ X₇ ∧ 9+X₀ ≤ X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₈₇: l5(X₀, X₁, X₂, X₅, X₆, X₇) → l2(0, X₁, X₂, X₅+1, 0, X₇) :|: X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 10 ≤ X₇ ∧ 10 ≤ X₆+X₇ ∧ 9+X₆ ≤ X₇ ∧ 10 ≤ X₅+X₇ ∧ 20 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 11 ≤ X₁+X₇ ∧ 9+X₁ ≤ X₇ ∧ 9+X₀ ≤ X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1
t₈₈: l6(X₀, X₁, X₂, X₅, X₆, X₇) → l4(X₀, 1, X₂, X₅+1, X₆, X₇) :|: N+1 ≤ M ∧ X₅ ≤ 8 ∧ 2+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 18 ∧ X₅ ≤ 7+X₁ ∧ X₁+X₅ ≤ 9 ∧ X₅ ≤ 8+X₀ ∧ X₀+X₅ ≤ 9 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₈₉: l6(X₀, X₁, X₂, X₅, X₆, X₇) → l4(X₀, 0, X₂, X₅+1, X₆, X₇) :|: X₅ ≤ 8 ∧ 2+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 18 ∧ X₅ ≤ 7+X₁ ∧ X₁+X₅ ≤ 9 ∧ X₅ ≤ 8+X₀ ∧ X₀+X₅ ≤ 9 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀
t₉₁: l7(X₀, X₁, X₂, X₅, X₆, X₇) → l8(X₀, X₁, X₂, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ 9 ≤ X₅ ∧ 19 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 9 ≤ X₁+X₅ ∧ 8+X₁ ≤ X₅ ∧ 10 ≤ X₀+X₅ ∧ 8+X₀ ≤ X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 11 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀
t₉₂: l7(X₀, X₁, X₂, X₅, X₆, X₇) → l8(X₀, 0, X₂, X₅, X₆, X₇) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 9 ≤ X₅ ∧ 19 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 9 ≤ X₁+X₅ ∧ 8+X₁ ≤ X₅ ∧ 10 ≤ X₀+X₅ ∧ 8+X₀ ≤ X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 11 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀

MPRF for transition t₆₈: l1(X₀, X₁, X₂, X₅, X₆, X₇) → l1(X₀, X₁, X₂, X₅+1, X₆, X₇) :|: X₅+1 ≤ X₂ ∧ X₅ ≤ 10 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 20 ∧ X₅ ≤ 9+X₁ ∧ X₁+X₅ ≤ 11 ∧ X₅ ≤ 9+X₀ ∧ X₀+X₅ ≤ 11 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 11 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ of depth 1:

new bound:

11 {O(1)}

MPRF:

l1 [11-X₅ ]

MPRF for transition t₇₀: l2(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 0, 0) :|: X₅+1 ≤ X₂ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ of depth 1:

new bound:

55 {O(1)}

MPRF:

l3 [54-5⋅X₅ ]
l5 [4⋅X₁+5⋅X₂-5⋅X₅ ]
l2 [55-5⋅X₅ ]

MPRF for transition t₇₂: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 1, X₇+1) :|: 1 ≤ X₆ ∧ X₇+1 ≤ X₂ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

550 {O(1)}

MPRF:

l3 [X₂-X₇ ]
l5 [X₂-X₇ ]
l2 [X₂-X₇ ]

MPRF for transition t₇₃: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 1, X₇+1) :|: X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

550 {O(1)}

MPRF:

l3 [10-X₆ ]
l5 [-X₆ ]
l2 [-X₆ ]

MPRF for transition t₇₄: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 0, X₇+1) :|: N+1 ≤ M ∧ X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

550 {O(1)}

MPRF:

l3 [X₂-X₇ ]
l5 [X₂-X₇ ]
l2 [X₂-X₇ ]

MPRF for transition t₇₅: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₅, 0, X₇+1) :|: X₇+1 ≤ X₂ ∧ X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

550 {O(1)}

MPRF:

l3 [X₂-X₇ ]
l5 [X₂-X₇ ]
l2 [X₂-X₇ ]

MPRF for transition t₇₆: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₅, X₆, X₇) :|: X₀+1 ≤ 0 ∧ X₂ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

165 {O(1)}

MPRF:

l3 [2-X₀ ]
l5 [1 ]
l2 [0 ]

MPRF for transition t₇₇: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ X₂ ≤ X₇ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

1210 {O(1)}

MPRF:

l3 [X₀+2⋅X₅+2-X₁ ]
l5 [X₁+1-X₀ ]
l2 [-X₁ ]

MPRF for transition t₇₈: l3(X₀, X₁, X₂, X₅, X₆, X₇) → l2(0, X₁, X₂, X₅+1, X₆, X₇) :|: X₂ ≤ X₇ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₅+X₇ ∧ 10 ≤ X₂+X₇ ∧ X₂ ≤ 10+X₇ ∧ 1 ≤ X₁+X₇ ∧ X₁ ≤ 1+X₇ ∧ X₀ ≤ 1+X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

55 {O(1)}

MPRF:

l3 [1 ]
l5 [0 ]
l2 [0 ]

MPRF for transition t₈₆: l5(X₀, X₁, X₂, X₅, X₆, X₇) → l2(1, X₁, X₂, X₅+1, X₆, X₇) :|: 1 ≤ X₆ ∧ 10 ≤ X₇ ∧ 10 ≤ X₆+X₇ ∧ 9+X₆ ≤ X₇ ∧ 10 ≤ X₅+X₇ ∧ 20 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 11 ≤ X₁+X₇ ∧ 9+X₁ ≤ X₇ ∧ 9+X₀ ≤ X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

55 {O(1)}

MPRF:

l3 [1 ]
l5 [1 ]
l2 [0 ]

MPRF for transition t₈₇: l5(X₀, X₁, X₂, X₅, X₆, X₇) → l2(0, X₁, X₂, X₅+1, 0, X₇) :|: X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ 10 ≤ X₇ ∧ 10 ≤ X₆+X₇ ∧ 9+X₆ ≤ X₇ ∧ 10 ≤ X₅+X₇ ∧ 20 ≤ X₂+X₇ ∧ X₂ ≤ X₇ ∧ 11 ≤ X₁+X₇ ∧ 9+X₁ ≤ X₇ ∧ 9+X₀ ≤ X₇ ∧ X₆ ≤ 1 ∧ X₆ ≤ 1+X₅ ∧ 9+X₆ ≤ X₂ ∧ X₂+X₆ ≤ 11 ∧ X₆ ≤ X₁ ∧ X₁+X₆ ≤ 2 ∧ X₀+X₆ ≤ 2 ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 10 ≤ X₂+X₆ ∧ X₂ ≤ 10+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₀ ≤ 1+X₆ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 of depth 1:

new bound:

55 {O(1)}

MPRF:

l3 [1 ]
l5 [1 ]
l2 [0 ]

MPRF for transition t₈₀: l4(X₀, X₁, X₂, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₅, X₆, X₇) :|: 1 ≤ X₁ ∧ 2+X₅ ≤ X₂ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ of depth 1:

new bound:

9 {O(1)}

MPRF:

l6 [8-X₅ ]
l4 [9-X₅ ]

MPRF for transition t₈₁: l4(X₀, X₁, X₂, X₅, X₆, X₇) → l4(X₀, 0, X₂, X₅+1, X₆, X₇) :|: 2+X₅ ≤ X₂ ∧ X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 10+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 10 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 1+X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ of depth 1:

new bound:

10 {O(1)}

MPRF:

l6 [X₂-X₅ ]
l4 [X₂-X₅ ]

MPRF for transition t₈₈: l6(X₀, X₁, X₂, X₅, X₆, X₇) → l4(X₀, 1, X₂, X₅+1, X₆, X₇) :|: N+1 ≤ M ∧ X₅ ≤ 8 ∧ 2+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 18 ∧ X₅ ≤ 7+X₁ ∧ X₁+X₅ ≤ 9 ∧ X₅ ≤ 8+X₀ ∧ X₀+X₅ ≤ 9 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ of depth 1:

new bound:

50 {O(1)}

MPRF:

l6 [50-5⋅X₅ ]
l4 [5⋅X₂-5⋅X₅ ]

MPRF for transition t₈₉: l6(X₀, X₁, X₂, X₅, X₆, X₇) → l4(X₀, 0, X₂, X₅+1, X₆, X₇) :|: X₅ ≤ 8 ∧ 2+X₅ ≤ X₂ ∧ X₂+X₅ ≤ 18 ∧ X₅ ≤ 7+X₁ ∧ X₁+X₅ ≤ 9 ∧ X₅ ≤ 8+X₀ ∧ X₀+X₅ ≤ 9 ∧ 0 ≤ X₅ ∧ 10 ≤ X₂+X₅ ∧ X₂ ≤ 10+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₀ ≤ 1+X₅ ∧ X₂ ≤ 10 ∧ X₂ ≤ 9+X₁ ∧ X₁+X₂ ≤ 11 ∧ X₂ ≤ 10+X₀ ∧ X₀+X₂ ≤ 11 ∧ 10 ≤ X₂ ∧ 11 ≤ X₁+X₂ ∧ 9+X₁ ≤ X₂ ∧ 10 ≤ X₀+X₂ ∧ 9+X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₀ ∧ X₀+X₁ ≤ 2 ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ of depth 1:

new bound:

1 {O(1)}

MPRF:

l6 [1 ]
l4 [X₁ ]

All Bounds

Timebounds

Overall timebound:3883 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 11 {O(1)}
t₆₉: 1 {O(1)}
t₇₀: 55 {O(1)}
t₇₁: 1 {O(1)}
t₇₂: 550 {O(1)}
t₇₃: 550 {O(1)}
t₇₄: 550 {O(1)}
t₇₅: 550 {O(1)}
t₇₆: 165 {O(1)}
t₇₇: 1210 {O(1)}
t₇₈: 55 {O(1)}
t₈₀: 9 {O(1)}
t₈₁: 10 {O(1)}
t₈₃: 1 {O(1)}
t₈₄: 1 {O(1)}
t₈₆: 55 {O(1)}
t₈₇: 55 {O(1)}
t₈₈: 50 {O(1)}
t₈₉: 1 {O(1)}
t₉₁: 1 {O(1)}
t₉₂: 1 {O(1)}

Costbounds

Overall costbound: 3883 {O(1)}
t₆₇: 1 {O(1)}
t₆₈: 11 {O(1)}
t₆₉: 1 {O(1)}
t₇₀: 55 {O(1)}
t₇₁: 1 {O(1)}
t₇₂: 550 {O(1)}
t₇₃: 550 {O(1)}
t₇₄: 550 {O(1)}
t₇₅: 550 {O(1)}
t₇₆: 165 {O(1)}
t₇₇: 1210 {O(1)}
t₇₈: 55 {O(1)}
t₈₀: 9 {O(1)}
t₈₁: 10 {O(1)}
t₈₃: 1 {O(1)}
t₈₄: 1 {O(1)}
t₈₆: 55 {O(1)}
t₈₇: 55 {O(1)}
t₈₈: 50 {O(1)}
t₈₉: 1 {O(1)}
t₉₁: 1 {O(1)}
t₉₂: 1 {O(1)}

Sizebounds

t₆₇, X₀: 1 {O(1)}
t₆₇, X₁: 1 {O(1)}
t₆₇, X₂: 10 {O(1)}
t₆₇, X₅: 0 {O(1)}
t₆₇, X₆: X₆ {O(n)}
t₆₇, X₇: X₇ {O(n)}
t₆₈, X₀: 1 {O(1)}
t₆₈, X₁: 1 {O(1)}
t₆₈, X₂: 10 {O(1)}
t₆₈, X₅: 10 {O(1)}
t₆₈, X₆: X₆ {O(n)}
t₆₈, X₇: X₇ {O(n)}
t₆₉, X₀: 1 {O(1)}
t₆₉, X₁: 1 {O(1)}
t₆₉, X₂: 10 {O(1)}
t₆₉, X₅: 0 {O(1)}
t₆₉, X₆: X₆ {O(n)}
t₆₉, X₇: X₇ {O(n)}
t₇₀, X₀: 1 {O(1)}
t₇₀, X₁: 1 {O(1)}
t₇₀, X₂: 10 {O(1)}
t₇₀, X₅: 9 {O(1)}
t₇₀, X₆: 0 {O(1)}
t₇₀, X₇: 0 {O(1)}
t₇₁, X₀: 1 {O(1)}
t₇₁, X₁: 1 {O(1)}
t₇₁, X₂: 10 {O(1)}
t₇₁, X₅: 0 {O(1)}
t₇₁, X₆: 2 {O(1)}
t₇₁, X₇: 200 {O(1)}
t₇₂, X₀: 5 {O(1)}
t₇₂, X₁: 1 {O(1)}
t₇₂, X₂: 10 {O(1)}
t₇₂, X₅: 45 {O(1)}
t₇₂, X₆: 1 {O(1)}
t₇₂, X₇: 10 {O(1)}
t₇₃, X₀: 5 {O(1)}
t₇₃, X₁: 1 {O(1)}
t₇₃, X₂: 10 {O(1)}
t₇₃, X₅: 45 {O(1)}
t₇₃, X₆: 1 {O(1)}
t₇₃, X₇: 10 {O(1)}
t₇₄, X₀: 2 {O(1)}
t₇₄, X₁: 1 {O(1)}
t₇₄, X₂: 10 {O(1)}
t₇₄, X₅: 18 {O(1)}
t₇₄, X₆: 0 {O(1)}
t₇₄, X₇: 10 {O(1)}
t₇₅, X₀: 2 {O(1)}
t₇₅, X₁: 1 {O(1)}
t₇₅, X₂: 10 {O(1)}
t₇₅, X₅: 18 {O(1)}
t₇₅, X₆: 0 {O(1)}
t₇₅, X₇: 10 {O(1)}
t₇₆, X₀: 14 {O(1)}
t₇₆, X₁: 1 {O(1)}
t₇₆, X₂: 10 {O(1)}
t₇₆, X₅: 126 {O(1)}
t₇₆, X₆: 1 {O(1)}
t₇₆, X₇: 40 {O(1)}
t₇₇, X₀: 1 {O(1)}
t₇₇, X₁: 1 {O(1)}
t₇₇, X₂: 10 {O(1)}
t₇₇, X₅: 126 {O(1)}
t₇₇, X₆: 1 {O(1)}
t₇₇, X₇: 40 {O(1)}
t₇₈, X₀: 0 {O(1)}
t₇₈, X₁: 1 {O(1)}
t₇₈, X₂: 10 {O(1)}
t₇₈, X₅: 130 {O(1)}
t₇₈, X₆: 1 {O(1)}
t₇₈, X₇: 40 {O(1)}
t₈₀, X₀: 1 {O(1)}
t₈₀, X₁: 1 {O(1)}
t₈₀, X₂: 10 {O(1)}
t₈₀, X₅: 8 {O(1)}
t₈₀, X₆: 2 {O(1)}
t₈₀, X₇: 200 {O(1)}
t₈₁, X₀: 1 {O(1)}
t₈₁, X₁: 0 {O(1)}
t₈₁, X₂: 10 {O(1)}
t₈₁, X₅: 9 {O(1)}
t₈₁, X₆: 2 {O(1)}
t₈₁, X₇: 200 {O(1)}
t₈₃, X₀: 1 {O(1)}
t₈₃, X₁: 1 {O(1)}
t₈₃, X₂: 10 {O(1)}
t₈₃, X₅: 27 {O(1)}
t₈₃, X₆: 6 {O(1)}
t₈₃, X₇: 600 {O(1)}
t₈₄, X₀: 0 {O(1)}
t₈₄, X₁: 1 {O(1)}
t₈₄, X₂: 10 {O(1)}
t₈₄, X₅: 27 {O(1)}
t₈₄, X₆: 6 {O(1)}
t₈₄, X₇: 600 {O(1)}
t₈₆, X₀: 1 {O(1)}
t₈₆, X₁: 1 {O(1)}
t₈₆, X₂: 10 {O(1)}
t₈₆, X₅: 254 {O(1)}
t₈₆, X₆: 1 {O(1)}
t₈₆, X₇: 80 {O(1)}
t₈₇, X₀: 0 {O(1)}
t₈₇, X₁: 1 {O(1)}
t₈₇, X₂: 10 {O(1)}
t₈₇, X₅: 254 {O(1)}
t₈₇, X₆: 0 {O(1)}
t₈₇, X₇: 80 {O(1)}
t₈₈, X₀: 1 {O(1)}
t₈₈, X₁: 1 {O(1)}
t₈₈, X₂: 10 {O(1)}
t₈₈, X₅: 9 {O(1)}
t₈₈, X₆: 2 {O(1)}
t₈₈, X₇: 200 {O(1)}
t₈₉, X₀: 1 {O(1)}
t₈₉, X₁: 0 {O(1)}
t₈₉, X₂: 10 {O(1)}
t₈₉, X₅: 9 {O(1)}
t₈₉, X₆: 2 {O(1)}
t₈₉, X₇: 200 {O(1)}
t₉₁, X₀: 1 {O(1)}
t₉₁, X₁: 1 {O(1)}
t₉₁, X₂: 10 {O(1)}
t₉₁, X₅: 27 {O(1)}
t₉₁, X₆: 6 {O(1)}
t₉₁, X₇: 600 {O(1)}
t₉₂, X₀: 1 {O(1)}
t₉₂, X₁: 0 {O(1)}
t₉₂, X₂: 10 {O(1)}
t₉₂, X₅: 27 {O(1)}
t₉₂, X₆: 6 {O(1)}
t₉₂, X₇: 600 {O(1)}