KoAT2 Proof Output

Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: J, K
Locations: f0, f17, f27, f37, f45, f55, f65, f75, f83, f93
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f17(0, J, K, 0, X₄, X₅, X₆, X₇, X₈)
t₁: f17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f17(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ 49
t₁₆: f17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f27(X₀, X₁, X₂, X₃, 0, X₅, X₆, X₇, X₈) :|: 50 ≤ X₃
t₂: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f27(X₀, X₁, X₂, X₃, 1+X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ 49
t₁₅: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f37(X₀, X₁, X₂, X₃, X₄, 0, X₆, X₇, X₈) :|: 50 ≤ X₄
t₃: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f37(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇, X₈) :|: X₅ ≤ 49
t₁₄: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f45(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 50 ≤ X₅
t₄: f45(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f45(1+X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₀ ≤ 49
t₁₃: f45(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f55(X₀, X₁, X₂, X₃, X₄, X₅, 0, X₇, X₈) :|: 50 ≤ X₀
t₅: f55(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f55(X₀, X₁, X₂, X₃, X₄, X₅, 1+X₆, X₇, X₈) :|: X₆ ≤ 49
t₁₂: f55(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈) :|: 50 ≤ X₆
t₆: f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇, X₈) :|: X₇ ≤ 49
t₁₁: f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f75(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: 50 ≤ X₇
t₇: f75(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f75(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₈) :|: X₈ ≤ 49
t₁₀: f75(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f83(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 50 ≤ X₈
t₈: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f83(1+X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₀ ≤ 49
t₉: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → f93(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 50 ≤ X₀

Preprocessing

Eliminate variables [J; K; X₁; X₂] that do not contribute to the problem

Found invariant X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 100 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 0 ≤ X₅ ∧ 50 ≤ X₄+X₅ ∧ X₄ ≤ 50+X₅ ∧ 50 ≤ X₃+X₅ ∧ X₃ ≤ 50+X₅ ∧ 50 ≤ X₂+X₅ ∧ X₂ ≤ 50+X₅ ∧ 50 ≤ X₁+X₅ ∧ X₁ ≤ 50+X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 100 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 100 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 100 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 100 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 100 ∧ 50 ≤ X₂ ∧ 100 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 100 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 100 ∧ 50 ≤ X₁ ∧ 100 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location f65

Found invariant X₃ ≤ 50 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 100 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 100 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 50+X₀ ∧ X₀+X₂ ≤ 100 ∧ 50 ≤ X₂ ∧ 100 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 50 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 100 ∧ 50 ≤ X₁ ∧ 50 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location f45

Found invariant X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 100 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 0 ≤ X₄ ∧ 50 ≤ X₃+X₄ ∧ X₃ ≤ 50+X₄ ∧ 50 ≤ X₂+X₄ ∧ X₂ ≤ 50+X₄ ∧ 50 ≤ X₁+X₄ ∧ X₁ ≤ 50+X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ 50+X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 100 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 100 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 100 ∧ 50 ≤ X₂ ∧ 100 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 100 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 100 ∧ 50 ≤ X₁ ∧ 100 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location f55

Found invariant X₃ ≤ 50 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 100 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 50 ∧ 0 ≤ X₃ ∧ 50 ≤ X₂+X₃ ∧ X₂ ≤ 50+X₃ ∧ 50 ≤ X₁+X₃ ∧ X₁ ≤ 50+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 50+X₀ ∧ X₀+X₂ ≤ 50 ∧ 50 ≤ X₂ ∧ 100 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 50 ≤ X₀+X₂ ∧ 50+X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ 50 ≤ X₁ ∧ 50 ≤ X₀+X₁ ∧ 50+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location f37

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 100 ∧ X₆ ≤ X₁ ∧ X₁+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 ∧ 100 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 100 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 100 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 100 ∧ X₅ ≤ 50+X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 100 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ 50 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 100 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 100 ∧ X₄ ≤ 50+X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 100 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 50 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 100 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ 50+X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 100 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 50 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 50+X₀ ∧ X₀+X₂ ≤ 100 ∧ 50 ≤ X₂ ∧ 100 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 50 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 100 ∧ 50 ≤ X₁ ∧ 50 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 50 ∧ 0 ≤ X₀ for location f83

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 100 ∧ X₆ ≤ X₁ ∧ X₁+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 ≤ X₂+X₆ ∧ X₂ ≤ 50+X₆ ∧ 50 ≤ X₁+X₆ ∧ X₁ ≤ 50+X₆ ∧ 50 ≤ X₀+X₆ ∧ X₀ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 100 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 100 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 100 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 100 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 100 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 100 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 100 ∧ 50 ≤ X₂ ∧ 100 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 100 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 100 ∧ 50 ≤ X₁ ∧ 100 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location f75

Found invariant X₆ ≤ 50 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 100 ∧ X₆ ≤ X₄ ∧ X₄+X₆ ≤ 100 ∧ X₆ ≤ X₃ ∧ X₃+X₆ ≤ 100 ∧ X₆ ≤ X₂ ∧ X₂+X₆ ≤ 100 ∧ X₆ ≤ X₁ ∧ X₁+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 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 100 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ 100 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ X₄ ∧ X₄+X₅ ≤ 100 ∧ X₅ ≤ X₃ ∧ X₃+X₅ ≤ 100 ∧ X₅ ≤ X₂ ∧ X₂+X₅ ≤ 100 ∧ X₅ ≤ X₁ ∧ X₁+X₅ ≤ 100 ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 100 ∧ 50 ≤ X₅ ∧ 100 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 100 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 100 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 100 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ 100 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ X₃ ∧ X₃+X₄ ≤ 100 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 100 ∧ X₄ ≤ X₁ ∧ X₁+X₄ ≤ 100 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 100 ∧ 50 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 100 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 100 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 100 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ X₂ ∧ X₂+X₃ ≤ 100 ∧ X₃ ≤ X₁ ∧ X₁+X₃ ≤ 100 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 100 ∧ 50 ≤ X₃ ∧ 100 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 100 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 100 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 100 ∧ 50 ≤ X₂ ∧ 100 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 100 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ X₀ ∧ X₀+X₁ ≤ 100 ∧ 50 ≤ X₁ ∧ 100 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 50 ∧ 50 ≤ X₀ for location f93

Found invariant X₁ ≤ 50 ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location f17

Found invariant X₂ ≤ 50 ∧ X₂ ≤ X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 50+X₀ ∧ X₀+X₂ ≤ 50 ∧ 0 ≤ X₂ ∧ 50 ≤ X₁+X₂ ∧ X₁ ≤ 50+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ 50 ≤ X₁ ∧ 50 ≤ X₀+X₁ ∧ 50+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location f27

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: f0, f17, f27, f37, f45, f55, f65, f75, f83, f93
Transitions:
t₄₁: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f17(0, 0, X₂, X₃, X₄, X₅, X₆)
t₄₂: f17(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f17(X₀, 1+X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 49 ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₁ ≤ 50 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁
t₄₃: f17(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f27(X₀, X₁, 0, X₃, X₄, X₅, X₆) :|: 50 ≤ X₁ ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₁ ≤ 50 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁
t₄₄: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f27(X₀, X₁, 1+X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 49 ∧ X₁+X₂ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₀+X₂ ≤ 50 ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₂ ∧ X₂ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50+X₀ ≤ X₁ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂
t₄₅: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f37(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: 50 ≤ X₂ ∧ X₁+X₂ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₀+X₂ ≤ 50 ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₂ ∧ X₂ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50+X₀ ≤ X₁ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂
t₄₆: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f37(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₃ ≤ 49 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₀+X₂ ≤ 50 ∧ X₀+X₃ ≤ 50 ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₃ ∧ X₃ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50+X₀ ≤ X₁ ∧ 50+X₀ ≤ X₂ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₃ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₃ ∧ 100 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₄₇: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f45(0, X₁, X₂, X₃, X₄, X₅, X₆) :|: 50 ≤ X₃ ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₀+X₂ ≤ 50 ∧ X₀+X₃ ≤ 50 ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₃ ∧ X₃ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50+X₀ ≤ X₁ ∧ 50+X₀ ≤ X₂ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₃ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₃ ∧ 100 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₄₈: f45(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f45(1+X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₀ ≤ 50 ∧ X₁ ≤ 50 ∧ X₂ ≤ 50 ∧ X₃ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50 ≤ X₀+X₃ ∧ 50 ≤ X₁ ∧ 50 ≤ X₂ ∧ 50 ≤ X₃ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₄₉: f45(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f55(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 50 ≤ X₀ ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₀ ≤ 50 ∧ X₁ ≤ 50 ∧ X₂ ≤ 50 ∧ X₃ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50 ≤ X₀+X₃ ∧ 50 ≤ X₁ ∧ 50 ≤ X₂ ∧ 50 ≤ X₃ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₅₀: f55(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f55(X₀, X₁, X₂, X₃, 1+X₄, X₅, X₆) :|: X₄ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₄ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₄ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₄ ∧ X₄ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₄ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₄ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₄ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₄ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₂+X₃ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄
t₅₁: f55(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f65(X₀, X₁, X₂, X₃, X₄, 0, X₆) :|: 50 ≤ X₄ ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₄ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₄ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₄ ∧ X₄ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₄ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₄ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₄ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₄ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₂+X₃ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄
t₅₂: f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f65(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: X₅ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₅ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₅ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₅ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ 50+X₅ ∧ X₅ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₅ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₅ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₅ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₅ ∧ 50 ≤ X₄ ∧ 50 ≤ X₄+X₅ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₀+X₄ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₅₃: f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f75(X₀, X₁, X₂, X₃, X₄, X₅, 0) :|: 50 ≤ X₅ ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₅ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₅ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₅ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ 50+X₅ ∧ X₅ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₅ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₅ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₅ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₅ ∧ 50 ≤ X₄ ∧ 50 ≤ X₄+X₅ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₀+X₄ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₅₄: f75(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f75(X₀, X₁, X₂, X₃, X₄, X₅, 1+X₆) :|: X₆ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₀+X₆ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₁+X₆ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₂+X₆ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₃+X₆ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₄+X₆ ≤ 100 ∧ X₅+X₆ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₆ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₆ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₆ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₆ ∧ X₄ ≤ 50 ∧ X₄ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ 50+X₆ ∧ X₆ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₆ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₆ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₆ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₆ ∧ 50 ≤ X₄ ∧ 50 ≤ X₄+X₆ ∧ 50 ≤ X₅ ∧ 50 ≤ X₅+X₆ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₀+X₄ ∧ 100 ≤ X₀+X₅ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₁+X₅ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₂+X₅ ∧ 100 ≤ X₃+X₄ ∧ 100 ≤ X₃+X₅ ∧ 100 ≤ X₄+X₅ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₅₅: f75(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f83(0, X₁, X₂, X₃, X₄, X₅, X₆) :|: 50 ≤ X₆ ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₀+X₆ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₁+X₆ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₂+X₆ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₃+X₆ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₄+X₆ ≤ 100 ∧ X₅+X₆ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₆ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₆ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₆ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₆ ∧ X₄ ≤ 50 ∧ X₄ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ 50+X₆ ∧ X₆ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₆ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₆ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₆ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₆ ∧ 50 ≤ X₄ ∧ 50 ≤ X₄+X₆ ∧ 50 ≤ X₅ ∧ 50 ≤ X₅+X₆ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₀+X₄ ∧ 100 ≤ X₀+X₅ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₁+X₅ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₂+X₅ ∧ 100 ≤ X₃+X₄ ∧ 100 ≤ X₃+X₅ ∧ 100 ≤ X₄+X₅ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₅₆: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f83(1+X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₀+X₆ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₁+X₆ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₂+X₆ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₃+X₆ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₄+X₆ ≤ 100 ∧ X₅+X₆ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₄ ≤ 50+X₀ ∧ X₅ ≤ 50+X₀ ∧ X₆ ≤ 50+X₀ ∧ X₀ ≤ 50 ∧ X₁ ≤ 50 ∧ X₂ ≤ 50 ∧ X₃ ≤ 50 ∧ X₄ ≤ 50 ∧ X₅ ≤ 50 ∧ X₆ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50 ≤ X₀+X₃ ∧ 50 ≤ X₀+X₄ ∧ 50 ≤ X₀+X₅ ∧ 50 ≤ X₀+X₆ ∧ 50 ≤ X₁ ∧ 50 ≤ X₂ ∧ 50 ≤ X₃ ∧ 50 ≤ X₄ ∧ 50 ≤ X₅ ∧ 50 ≤ X₆ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₁+X₅ ∧ 100 ≤ X₁+X₆ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₂+X₅ ∧ 100 ≤ X₂+X₆ ∧ 100 ≤ X₃+X₄ ∧ 100 ≤ X₃+X₅ ∧ 100 ≤ X₃+X₆ ∧ 100 ≤ X₄+X₅ ∧ 100 ≤ X₄+X₆ ∧ 100 ≤ X₅+X₆ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₆ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₅₇: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f93(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 50 ≤ X₀ ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₀+X₆ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₁+X₆ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₂+X₆ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₃+X₆ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₄+X₆ ≤ 100 ∧ X₅+X₆ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₄ ≤ 50+X₀ ∧ X₅ ≤ 50+X₀ ∧ X₆ ≤ 50+X₀ ∧ X₀ ≤ 50 ∧ X₁ ≤ 50 ∧ X₂ ≤ 50 ∧ X₃ ≤ 50 ∧ X₄ ≤ 50 ∧ X₅ ≤ 50 ∧ X₆ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50 ≤ X₀+X₃ ∧ 50 ≤ X₀+X₄ ∧ 50 ≤ X₀+X₅ ∧ 50 ≤ X₀+X₆ ∧ 50 ≤ X₁ ∧ 50 ≤ X₂ ∧ 50 ≤ X₃ ∧ 50 ≤ X₄ ∧ 50 ≤ X₅ ∧ 50 ≤ X₆ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₁+X₅ ∧ 100 ≤ X₁+X₆ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₂+X₅ ∧ 100 ≤ X₂+X₆ ∧ 100 ≤ X₃+X₄ ∧ 100 ≤ X₃+X₅ ∧ 100 ≤ X₃+X₆ ∧ 100 ≤ X₄+X₅ ∧ 100 ≤ X₄+X₆ ∧ 100 ≤ X₅+X₆ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₆ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆

MPRF for transition t₄₂: f17(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f17(X₀, 1+X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 49 ∧ X₁ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₁ ≤ 50 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₁ ∧ 0 ≤ X₁ of depth 1:

new bound:

50 {O(1)}

MPRF:

• f17: [50-X₁]

MPRF for transition t₄₄: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f27(X₀, X₁, 1+X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 49 ∧ X₁+X₂ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₀+X₂ ≤ 50 ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₂ ∧ X₂ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50+X₀ ≤ X₁ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ of depth 1:

new bound:

51 {O(1)}

MPRF:

• f27: [51-X₂]

MPRF for transition t₄₆: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f37(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₃ ≤ 49 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₀+X₁ ≤ 50 ∧ X₀+X₂ ≤ 50 ∧ X₀+X₃ ≤ 50 ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₃ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₃ ∧ X₃ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50+X₀ ≤ X₁ ∧ 50+X₀ ≤ X₂ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₃ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₃ ∧ 100 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

51 {O(1)}

MPRF:

• f37: [1+X₁-X₃]

MPRF for transition t₄₈: f45(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f45(1+X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₀ ≤ 50 ∧ X₁ ≤ 50 ∧ X₂ ≤ 50 ∧ X₃ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50 ≤ X₀+X₃ ∧ 50 ≤ X₁ ∧ 50 ≤ X₂ ∧ 50 ≤ X₃ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ of depth 1:

new bound:

51 {O(1)}

MPRF:

• f45: [1+X₂-X₀]

MPRF for transition t₅₀: f55(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f55(X₀, X₁, X₂, X₃, 1+X₄, X₅, X₆) :|: X₄ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₄ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₄ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₄ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₄ ∧ X₄ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₄ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₄ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₄ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₄ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₂+X₃ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ of depth 1:

new bound:

50 {O(1)}

MPRF:

• f55: [50-X₄]

MPRF for transition t₅₂: f65(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f65(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: X₅ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₅ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₅ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₅ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₅ ∧ X₄ ≤ 50 ∧ X₄ ≤ 50+X₅ ∧ X₅ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₅ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₅ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₅ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₅ ∧ 50 ≤ X₄ ∧ 50 ≤ X₄+X₅ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₀+X₄ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅ of depth 1:

new bound:

51 {O(1)}

MPRF:

• f65: [1+X₃-X₅]

MPRF for transition t₅₄: f75(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f75(X₀, X₁, X₂, X₃, X₄, X₅, 1+X₆) :|: X₆ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₀+X₆ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₁+X₆ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₂+X₆ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₃+X₆ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₄+X₆ ≤ 100 ∧ X₅+X₆ ≤ 100 ∧ X₀ ≤ 50 ∧ X₀ ≤ 50+X₆ ∧ X₁ ≤ 50 ∧ X₁ ≤ 50+X₆ ∧ X₂ ≤ 50 ∧ X₂ ≤ 50+X₆ ∧ X₃ ≤ 50 ∧ X₃ ≤ 50+X₆ ∧ X₄ ≤ 50 ∧ X₄ ≤ 50+X₆ ∧ X₅ ≤ 50 ∧ X₅ ≤ 50+X₆ ∧ X₆ ≤ 50 ∧ 50 ≤ X₀ ∧ 50 ≤ X₀+X₆ ∧ 50 ≤ X₁ ∧ 50 ≤ X₁+X₆ ∧ 50 ≤ X₂ ∧ 50 ≤ X₂+X₆ ∧ 50 ≤ X₃ ∧ 50 ≤ X₃+X₆ ∧ 50 ≤ X₄ ∧ 50 ≤ X₄+X₆ ∧ 50 ≤ X₅ ∧ 50 ≤ X₅+X₆ ∧ 100 ≤ X₀+X₁ ∧ 100 ≤ X₀+X₂ ∧ 100 ≤ X₀+X₃ ∧ 100 ≤ X₀+X₄ ∧ 100 ≤ X₀+X₅ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₁+X₅ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₂+X₅ ∧ 100 ≤ X₃+X₄ ∧ 100 ≤ X₃+X₅ ∧ 100 ≤ X₄+X₅ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₃ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₅ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:

new bound:

51 {O(1)}

MPRF:

• f75: [51-X₆]

MPRF for transition t₅₆: f83(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f83(1+X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 49 ∧ X₀+X₁ ≤ 100 ∧ X₀+X₂ ≤ 100 ∧ X₀+X₃ ≤ 100 ∧ X₀+X₄ ≤ 100 ∧ X₀+X₅ ≤ 100 ∧ X₀+X₆ ≤ 100 ∧ X₁+X₂ ≤ 100 ∧ X₁+X₃ ≤ 100 ∧ X₁+X₄ ≤ 100 ∧ X₁+X₅ ≤ 100 ∧ X₁+X₆ ≤ 100 ∧ X₂+X₃ ≤ 100 ∧ X₂+X₄ ≤ 100 ∧ X₂+X₅ ≤ 100 ∧ X₂+X₆ ≤ 100 ∧ X₃+X₄ ≤ 100 ∧ X₃+X₅ ≤ 100 ∧ X₃+X₆ ≤ 100 ∧ X₄+X₅ ≤ 100 ∧ X₄+X₆ ≤ 100 ∧ X₅+X₆ ≤ 100 ∧ X₁ ≤ 50+X₀ ∧ X₂ ≤ 50+X₀ ∧ X₃ ≤ 50+X₀ ∧ X₄ ≤ 50+X₀ ∧ X₅ ≤ 50+X₀ ∧ X₆ ≤ 50+X₀ ∧ X₀ ≤ 50 ∧ X₁ ≤ 50 ∧ X₂ ≤ 50 ∧ X₃ ≤ 50 ∧ X₄ ≤ 50 ∧ X₅ ≤ 50 ∧ X₆ ≤ 50 ∧ 50 ≤ X₀+X₁ ∧ 50 ≤ X₀+X₂ ∧ 50 ≤ X₀+X₃ ∧ 50 ≤ X₀+X₄ ∧ 50 ≤ X₀+X₅ ∧ 50 ≤ X₀+X₆ ∧ 50 ≤ X₁ ∧ 50 ≤ X₂ ∧ 50 ≤ X₃ ∧ 50 ≤ X₄ ∧ 50 ≤ X₅ ∧ 50 ≤ X₆ ∧ 100 ≤ X₁+X₂ ∧ 100 ≤ X₁+X₃ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₁+X₅ ∧ 100 ≤ X₁+X₆ ∧ 100 ≤ X₂+X₃ ∧ 100 ≤ X₂+X₄ ∧ 100 ≤ X₂+X₅ ∧ 100 ≤ X₂+X₆ ∧ 100 ≤ X₃+X₄ ∧ 100 ≤ X₃+X₅ ∧ 100 ≤ X₃+X₆ ∧ 100 ≤ X₄+X₅ ∧ 100 ≤ X₄+X₆ ∧ 100 ≤ X₅+X₆ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₅ ≤ X₁ ∧ X₆ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₁ ≤ X₅ ∧ X₁ ≤ X₆ ∧ X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₆ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ of depth 1:

new bound:

51 {O(1)}

MPRF:

• f83: [1+X₂-X₀]

All Bounds

Timebounds

Overall timebound:415 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 50 {O(1)}
t₄₃: 1 {O(1)}
t₄₄: 51 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 51 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 51 {O(1)}
t₄₉: 1 {O(1)}
t₅₀: 50 {O(1)}
t₅₁: 1 {O(1)}
t₅₂: 51 {O(1)}
t₅₃: 1 {O(1)}
t₅₄: 51 {O(1)}
t₅₅: 1 {O(1)}
t₅₆: 51 {O(1)}
t₅₇: 1 {O(1)}

Costbounds

Overall costbound: 415 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 50 {O(1)}
t₄₃: 1 {O(1)}
t₄₄: 51 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 51 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 51 {O(1)}
t₄₉: 1 {O(1)}
t₅₀: 50 {O(1)}
t₅₁: 1 {O(1)}
t₅₂: 51 {O(1)}
t₅₃: 1 {O(1)}
t₅₄: 51 {O(1)}
t₅₅: 1 {O(1)}
t₅₆: 51 {O(1)}
t₅₇: 1 {O(1)}

Sizebounds

t₄₁, X₀: 0 {O(1)}
t₄₁, X₁: 0 {O(1)}
t₄₁, X₂: X₂ {O(n)}
t₄₁, X₃: X₃ {O(n)}
t₄₁, X₄: X₄ {O(n)}
t₄₁, X₅: X₅ {O(n)}
t₄₁, X₆: X₆ {O(n)}
t₄₂, X₀: 0 {O(1)}
t₄₂, X₁: 50 {O(1)}
t₄₂, X₂: X₂ {O(n)}
t₄₂, X₃: X₃ {O(n)}
t₄₂, X₄: X₄ {O(n)}
t₄₂, X₅: X₅ {O(n)}
t₄₂, X₆: X₆ {O(n)}
t₄₃, X₀: 0 {O(1)}
t₄₃, X₁: 50 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: X₃ {O(n)}
t₄₃, X₄: X₄ {O(n)}
t₄₃, X₅: X₅ {O(n)}
t₄₃, X₆: X₆ {O(n)}
t₄₄, X₀: 0 {O(1)}
t₄₄, X₁: 50 {O(1)}
t₄₄, X₂: 50 {O(1)}
t₄₄, X₃: X₃ {O(n)}
t₄₄, X₄: X₄ {O(n)}
t₄₄, X₅: X₅ {O(n)}
t₄₄, X₆: X₆ {O(n)}
t₄₅, X₀: 0 {O(1)}
t₄₅, X₁: 50 {O(1)}
t₄₅, X₂: 50 {O(1)}
t₄₅, X₃: 0 {O(1)}
t₄₅, X₄: X₄ {O(n)}
t₄₅, X₅: X₅ {O(n)}
t₄₅, X₆: X₆ {O(n)}
t₄₆, X₀: 0 {O(1)}
t₄₆, X₁: 50 {O(1)}
t₄₆, X₂: 50 {O(1)}
t₄₆, X₃: 50 {O(1)}
t₄₆, X₄: X₄ {O(n)}
t₄₆, X₅: X₅ {O(n)}
t₄₆, X₆: X₆ {O(n)}
t₄₇, X₀: 0 {O(1)}
t₄₇, X₁: 50 {O(1)}
t₄₇, X₂: 50 {O(1)}
t₄₇, X₃: 50 {O(1)}
t₄₇, X₄: X₄ {O(n)}
t₄₇, X₅: X₅ {O(n)}
t₄₇, X₆: X₆ {O(n)}
t₄₈, X₀: 50 {O(1)}
t₄₈, X₁: 50 {O(1)}
t₄₈, X₂: 50 {O(1)}
t₄₈, X₃: 50 {O(1)}
t₄₈, X₄: X₄ {O(n)}
t₄₈, X₅: X₅ {O(n)}
t₄₈, X₆: X₆ {O(n)}
t₄₉, X₀: 50 {O(1)}
t₄₉, X₁: 50 {O(1)}
t₄₉, X₂: 50 {O(1)}
t₄₉, X₃: 50 {O(1)}
t₄₉, X₄: 0 {O(1)}
t₄₉, X₅: X₅ {O(n)}
t₄₉, X₆: X₆ {O(n)}
t₅₀, X₀: 50 {O(1)}
t₅₀, X₁: 50 {O(1)}
t₅₀, X₂: 50 {O(1)}
t₅₀, X₃: 50 {O(1)}
t₅₀, X₄: 50 {O(1)}
t₅₀, X₅: X₅ {O(n)}
t₅₀, X₆: X₆ {O(n)}
t₅₁, X₀: 50 {O(1)}
t₅₁, X₁: 50 {O(1)}
t₅₁, X₂: 50 {O(1)}
t₅₁, X₃: 50 {O(1)}
t₅₁, X₄: 50 {O(1)}
t₅₁, X₅: 0 {O(1)}
t₅₁, X₆: X₆ {O(n)}
t₅₂, X₀: 50 {O(1)}
t₅₂, X₁: 50 {O(1)}
t₅₂, X₂: 50 {O(1)}
t₅₂, X₃: 50 {O(1)}
t₅₂, X₄: 50 {O(1)}
t₅₂, X₅: 50 {O(1)}
t₅₂, X₆: X₆ {O(n)}
t₅₃, X₀: 50 {O(1)}
t₅₃, X₁: 50 {O(1)}
t₅₃, X₂: 50 {O(1)}
t₅₃, X₃: 50 {O(1)}
t₅₃, X₄: 50 {O(1)}
t₅₃, X₅: 50 {O(1)}
t₅₃, X₆: 0 {O(1)}
t₅₄, X₀: 50 {O(1)}
t₅₄, X₁: 50 {O(1)}
t₅₄, X₂: 50 {O(1)}
t₅₄, X₃: 50 {O(1)}
t₅₄, X₄: 50 {O(1)}
t₅₄, X₅: 50 {O(1)}
t₅₄, X₆: 50 {O(1)}
t₅₅, X₀: 0 {O(1)}
t₅₅, X₁: 50 {O(1)}
t₅₅, X₂: 50 {O(1)}
t₅₅, X₃: 50 {O(1)}
t₅₅, X₄: 50 {O(1)}
t₅₅, X₅: 50 {O(1)}
t₅₅, X₆: 50 {O(1)}
t₅₆, X₀: 50 {O(1)}
t₅₆, X₁: 50 {O(1)}
t₅₆, X₂: 50 {O(1)}
t₅₆, X₃: 50 {O(1)}
t₅₆, X₄: 50 {O(1)}
t₅₆, X₅: 50 {O(1)}
t₅₆, X₆: 50 {O(1)}
t₅₇, X₀: 50 {O(1)}
t₅₇, X₁: 50 {O(1)}
t₅₇, X₂: 50 {O(1)}
t₅₇, X₃: 50 {O(1)}
t₅₇, X₄: 50 {O(1)}
t₅₇, X₅: 50 {O(1)}
t₅₇, X₆: 50 {O(1)}