KoAT2 Proof Output

Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: K, L
Locations: f0, f10, f16, f19, f27, f30, f31, f36, f37, f38, f49, f56
Transitions:
t₆: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f10(1, X₁, 0, 9, 1, K, X₆, X₇, X₈, X₉)
t₇: f10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f10(X₀, X₁, 1+X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₂ ≤ X₃
t₃₃: f10(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f16(X₀, X₁, 0, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ X₂
t₈: f16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ 0
t₉: f16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₂ ≤ X₃ ∧ 1 ≤ X₄
t₁₃: f16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(X₀, 0, X₂, X₃, 0, X₅, 0, X₇, X₈, X₉) :|: 1+X₂ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₃₀: f16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f49(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₄ ≤ 0 ∧ X₃ ≤ X₂
t₃₁: f16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f49(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₄ ∧ X₃ ≤ X₂
t₃₂: f16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f56(X₀, X₁, X₂, X₃, 0, X₅, X₆, X₇, X₈, 1) :|: X₃ ≤ X₂ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₁₀: f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(X₀, 0, X₂, X₃, 1, X₅, 1, X₇, X₈, X₉) :|: 1+K ≤ X₃
t₁₁: f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(X₀, 0, X₂, X₃, 0, X₅, 0, X₇, X₈, X₉)
t₁₂: f19(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(X₀, 0, X₂, X₃, 0, X₅, 0, X₇, X₈, X₉) :|: 1+K ≤ 0
t₂₉: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f16(X₀, X₁, 1+X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ X₁
t₂₀: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(X₀, 1+X₂, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₁ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₄: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₂ ≤ X₁ ∧ 1+X₁ ≤ X₃
t₁₅: f27(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₃
t₀: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀ ≤ 0
t₁: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₀
t₁₉: f30(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f36(0, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, X₉) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₁₆: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f36(1, X₁, X₂, X₃, X₄, X₅, X₆, 1, X₈, X₉) :|: 1+L ≤ K
t₁₇: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f36(1, X₁, X₂, X₃, X₄, X₅, X₆, 1, X₈, X₉)
t₁₈: f31(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f36(0, X₁, X₂, X₃, X₄, X₅, X₆, 0, X₈, X₉)
t₂₅: f36(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(0, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0, X₉) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₂: f36(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀ ≤ 0
t₃: f36(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₀
t₂₄: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(0, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0, X₉)
t₄: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f38(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+L+X₂ ≤ K+X₁
t₅: f37(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f38(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+L+X₁ ≤ K+X₂
t₂₁: f38(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(1, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1, X₉) :|: 1+L+X₂ ≤ K+X₁
t₂₂: f38(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(1, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1, X₉) :|: 1+L+X₁ ≤ K+X₂
t₂₃: f38(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f27(0, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0, X₉)
t₂₆: f49(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f56(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 0) :|: 1+X₀ ≤ 0
t₂₇: f49(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f56(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 0) :|: 1 ≤ X₀
t₂₈: f49(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → f56(0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, 1) :|: 0 ≤ X₀ ∧ X₀ ≤ 0

Preprocessing

Cut unsatisfiable transition [t₂: f36→f37]

Eliminate variables [X₅; X₆; X₇; X₈; X₉] that do not contribute to the problem

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ 8+X₄ ≤ X₂ ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 2 ∧ 0 ≤ X₄ ∧ 9 ≤ X₃+X₄ ∧ X₃ ≤ 9+X₄ ∧ 9 ≤ X₂+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ X₂ ∧ X₃ ≤ 9+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 18 ≤ X₂+X₃ ∧ 9 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ 9 ≤ X₂ ∧ 9 ≤ X₀+X₂ ∧ 8+X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location f56

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ 8+X₄ ≤ X₂ ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 2 ∧ 1 ≤ X₄ ∧ 10 ≤ X₃+X₄ ∧ X₃ ≤ 8+X₄ ∧ 10 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ X₂ ∧ X₃ ≤ 9+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 18 ≤ X₂+X₃ ∧ 9 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ 9 ≤ X₂ ∧ 9 ≤ X₀+X₂ ∧ 8+X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location f49

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ X₄ ≤ 1+X₂ ∧ X₂+X₄ ≤ 9 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 2 ∧ 1 ≤ X₄ ∧ 10 ≤ X₃+X₄ ∧ X₃ ≤ 8+X₄ ∧ 1 ≤ X₂+X₄ ∧ X₂ ≤ 7+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₃ ≤ 17 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ X₂ ≤ 8 ∧ X₂ ≤ 8+X₀ ∧ X₀+X₂ ≤ 9 ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location f19

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ X₄ ≤ 1+X₂ ∧ X₁+X₄ ≤ 9 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 2 ∧ 0 ≤ X₄ ∧ 9 ≤ X₃+X₄ ∧ X₃ ≤ 9+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₁ ≤ 8+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₁+X₃ ≤ 17 ∧ X₃ ≤ 8+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 10 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₁ ≤ 8+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 7+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location f31

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ X₄ ≤ 1+X₂ ∧ X₁+X₄ ≤ 9 ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 2 ∧ 0 ≤ X₄ ∧ 9 ≤ X₃+X₄ ∧ X₃ ≤ 9+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₁ ≤ 8+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₁+X₃ ≤ 17 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₁ ≤ 8+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location f36

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ X₄ ≤ 1+X₂ ∧ X₂+X₄ ≤ 10 ∧ X₄ ≤ X₀ ∧ X₀+X₄ ≤ 2 ∧ 1 ≤ X₄ ∧ 10 ≤ X₃+X₄ ∧ X₃ ≤ 8+X₄ ∧ 1 ≤ X₂+X₄ ∧ X₂ ≤ 8+X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₃ ≤ 18 ∧ X₃ ≤ 8+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 10 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ X₂ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₀+X₂ ≤ 10 ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location f10

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 2 ∧ 0 ≤ X₄ ∧ 9 ≤ X₃+X₄ ∧ X₃ ≤ 9+X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location f16

Found invariant X₄ ≤ 1 ∧ 8+X₄ ≤ X₃ ∧ X₃+X₄ ≤ 10 ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1+X₀ ∧ X₀+X₄ ≤ 2 ∧ 0 ≤ X₄ ∧ 9 ≤ X₃+X₄ ∧ X₃ ≤ 9+X₄ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₀+X₄ ∧ X₀ ≤ 1+X₄ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9+X₀ ∧ X₀+X₃ ≤ 10 ∧ 9 ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₀+X₃ ∧ 8+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1 ∧ 0 ≤ X₀ for location f27

Cut unsatisfiable transition [t₇₅: f16→f19; t₇₈: f16→f49; t₈₈: f30→f31; t₁₀₂: f49→f56]

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: K, L
Locations: f0, f10, f16, f19, f27, f30, f31, f36, f37, f38, f49, f56
Transitions:
t₇₂: f0(X₀, X₁, X₂, X₃, X₄) → f10(1, X₁, 0, 9, 1)
t₇₃: f10(X₀, X₁, X₂, X₃, X₄) → f10(X₀, X₁, 1+X₂, X₃, X₄) :|: 1+X₂ ≤ X₃ ∧ X₂+X₃ ≤ 18 ∧ X₀+X₂ ≤ 10 ∧ X₀+X₃ ≤ 10 ∧ X₂+X₄ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₂ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₃ ≤ 8+X₀ ∧ X₂ ≤ 8+X₄ ∧ X₃ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₀+X₃ ∧ 10 ≤ X₃+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃
t₇₄: f10(X₀, X₁, X₂, X₃, X₄) → f16(X₀, X₁, 0, X₃, X₄) :|: X₃ ≤ X₂ ∧ X₂+X₃ ≤ 18 ∧ X₀+X₂ ≤ 10 ∧ X₀+X₃ ≤ 10 ∧ X₂+X₄ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₂ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₃ ≤ 8+X₀ ∧ X₂ ≤ 8+X₄ ∧ X₃ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₀+X₃ ∧ 10 ≤ X₃+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃
t₇₆: f16(X₀, X₁, X₂, X₃, X₄) → f19(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₇₇: f16(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 0) :|: 1+X₂ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂
t₇₉: f16(X₀, X₁, X₂, X₃, X₄) → f49(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄
t₈₀: f16(X₀, X₁, X₂, X₃, X₄) → f56(X₀, X₁, X₂, X₃, 0) :|: X₃ ≤ X₂ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂
t₈₁: f19(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 1) :|: 1+K ≤ X₃ ∧ X₂+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₂ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₄ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₂ ≤ 8 ∧ X₃ ≤ 8+X₄ ∧ X₂ ≤ 7+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂
t₈₂: f19(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 0) :|: X₂+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₂ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₄ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₂ ≤ 8 ∧ X₃ ≤ 8+X₄ ∧ X₂ ≤ 7+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂
t₈₃: f19(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 0) :|: 1+K ≤ 0 ∧ X₂+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₂ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₄ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₂ ≤ 8 ∧ X₃ ≤ 8+X₄ ∧ X₂ ≤ 7+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂
t₈₄: f27(X₀, X₁, X₂, X₃, X₄) → f16(X₀, X₁, 1+X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₈₅: f27(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 1+X₂, X₂, X₃, X₄) :|: 1+X₁ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₈₆: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₈₇: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₃ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₈₉: f30(X₀, X₁, X₂, X₃, X₄) → f31(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₀: f30(X₀, X₁, X₂, X₃, X₄) → f36(0, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₁: f31(X₀, X₁, X₂, X₃, X₄) → f36(1, X₁, X₂, X₃, X₄) :|: 1+L ≤ K ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₂: f31(X₀, X₁, X₂, X₃, X₄) → f36(1, X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₃: f31(X₀, X₁, X₂, X₃, X₄) → f36(0, X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₄: f36(X₀, X₁, X₂, X₃, X₄) → f27(0, 1+X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₅: f36(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₆: f37(X₀, X₁, X₂, X₃, X₄) → f27(0, 1+X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₇: f37(X₀, X₁, X₂, X₃, X₄) → f38(X₀, X₁, X₂, X₃, X₄) :|: 1+L+X₂ ≤ K+X₁ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₈: f37(X₀, X₁, X₂, X₃, X₄) → f38(X₀, X₁, X₂, X₃, X₄) :|: 1+L+X₁ ≤ K+X₂ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₉₉: f38(X₀, X₁, X₂, X₃, X₄) → f27(1, 1+X₁, X₂, X₃, X₄) :|: 1+L+X₂ ≤ K+X₁ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₁₀₀: f38(X₀, X₁, X₂, X₃, X₄) → f27(1, 1+X₁, X₂, X₃, X₄) :|: 1+L+X₁ ≤ K+X₂ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₁₀₁: f38(X₀, X₁, X₂, X₃, X₄) → f27(0, 1+X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄
t₁₀₃: f49(X₀, X₁, X₂, X₃, X₄) → f56(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9 ∧ X₃ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₂ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₂ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₂ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂ ∧ 9 ≤ X₃ ∧ 10 ≤ X₂+X₄ ∧ 10 ≤ X₃+X₄ ∧ 18 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₂
t₁₀₄: f49(X₀, X₁, X₂, X₃, X₄) → f56(0, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9 ∧ X₃ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₂ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₂ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₂ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂ ∧ 9 ≤ X₃ ∧ 10 ≤ X₂+X₄ ∧ 10 ≤ X₃+X₄ ∧ 18 ≤ X₂+X₃ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₂

MPRF for transition t₇₃: f10(X₀, X₁, X₂, X₃, X₄) → f10(X₀, X₁, 1+X₂, X₃, X₄) :|: 1+X₂ ≤ X₃ ∧ X₂+X₃ ≤ 18 ∧ X₀+X₂ ≤ 10 ∧ X₀+X₃ ≤ 10 ∧ X₂+X₄ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₂ ∧ X₂ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₃ ≤ 8+X₀ ∧ X₂ ≤ 8+X₄ ∧ X₃ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₀+X₃ ∧ 10 ≤ X₃+X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃ of depth 1:

new bound:

10 {O(1)}

MPRF:

• f10: [10-X₂]

MPRF for transition t₇₆: f16(X₀, X₁, X₂, X₃, X₄) → f19(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₄ of depth 1:

new bound:

10 {O(1)}

MPRF:

• f16: [10-X₂]
• f19: [9-X₂]
• f27: [9-X₂]
• f30: [9-X₂]
• f31: [9-X₂]
• f36: [X₃-X₂]
• f37: [X₃-X₂]
• f38: [X₃-X₂]

MPRF for transition t₇₇: f16(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 0) :|: 1+X₂ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ of depth 1:

new bound:

9 {O(1)}

MPRF:

• f16: [9-X₂]
• f19: [8-X₂]
• f27: [8-X₂]
• f30: [8-X₂]
• f31: [8-X₂]
• f36: [X₃-1-X₂]
• f37: [X₃-1-X₂]
• f38: [X₃-1-X₂]

MPRF for transition t₈₁: f19(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 1) :|: 1+K ≤ X₃ ∧ X₂+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₂ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₄ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₂ ≤ 8 ∧ X₃ ≤ 8+X₄ ∧ X₂ ≤ 7+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂ of depth 1:

new bound:

10 {O(1)}

MPRF:

• f16: [10-X₂]
• f19: [10-X₂]
• f27: [9-X₂]
• f30: [9-X₂]
• f31: [9⋅X₀-X₂]
• f36: [X₃-X₂]
• f37: [X₃-X₂]
• f38: [X₃-X₂]

MPRF for transition t₈₂: f19(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 0) :|: X₂+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₂ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₄ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₂ ≤ 8 ∧ X₃ ≤ 8+X₄ ∧ X₂ ≤ 7+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂ of depth 1:

new bound:

1 {O(1)}

MPRF:

• f16: [X₄]
• f19: [1]
• f27: [X₄]
• f30: [X₄]
• f31: [X₄]
• f36: [X₄]
• f37: [X₄]
• f38: [X₄]

MPRF for transition t₈₃: f19(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 0, X₂, X₃, 0) :|: 1+K ≤ 0 ∧ X₂+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₂ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₂+X₄ ≤ 9 ∧ X₃ ≤ 9 ∧ X₂ ≤ 8+X₀ ∧ X₂ ≤ 8 ∧ X₃ ≤ 8+X₄ ∧ X₂ ≤ 7+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₄ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 10 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₄ ∧ 0 ≤ X₂ of depth 1:

new bound:

1 {O(1)}

MPRF:

• f16: [X₄]
• f19: [1]
• f27: [X₄]
• f30: [X₄]
• f31: [X₄]
• f36: [X₄]
• f37: [X₄]
• f38: [X₄]

MPRF for transition t₉₃: f31(X₀, X₁, X₂, X₃, X₄) → f36(0, X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

10 {O(1)}

MPRF:

• f16: [9+X₀]
• f19: [9+X₀]
• f27: [9+X₀]
• f30: [X₀+X₃]
• f31: [10]
• f36: [9+X₀]
• f37: [1+X₃]
• f38: [X₀+X₃]

MPRF for transition t₉₆: f37(X₀, X₁, X₂, X₃, X₄) → f27(0, 1+X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

1 {O(1)}

MPRF:

• f16: [X₀]
• f19: [X₀]
• f27: [X₀]
• f30: [X₀]
• f31: [1]
• f36: [X₀]
• f37: [1]
• f38: [1]

MPRF for transition t₁₀₁: f38(X₀, X₁, X₂, X₃, X₄) → f27(0, 1+X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

1 {O(1)}

MPRF:

• f16: [X₀]
• f19: [X₀]
• f27: [X₀]
• f30: [X₀+X₃-9]
• f31: [1]
• f36: [X₀]
• f37: [X₀]
• f38: [1]

MPRF for transition t₈₄: f27(X₀, X₁, X₂, X₃, X₄) → f16(X₀, X₁, 1+X₂, X₃, X₄) :|: X₃ ≤ X₁ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

208 {O(1)}

MPRF:

• f16: [7+X₄]
• f19: [8]
• f27: [X₃+X₄-1]
• f30: [X₃+X₄-1]
• f31: [8⋅X₀+X₄]
• f36: [X₃+X₄-1]
• f37: [X₃+X₄-1]
• f38: [X₃+X₄-1]

MPRF for transition t₈₅: f27(X₀, X₁, X₂, X₃, X₄) → f27(X₀, 1+X₂, X₂, X₃, X₄) :|: 1+X₁ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+189 {O(n)}

MPRF:

• f16: [X₂-X₁]
• f19: [X₂-X₁]
• f27: [1+X₂-X₁]
• f30: [X₂-X₁]
• f31: [X₂-X₁]
• f36: [X₂-X₁]
• f37: [X₂-X₁]
• f38: [X₂-X₁]

MPRF for transition t₈₆: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₁ ∧ 1+X₁ ≤ X₃ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+827 {O(n)}

MPRF:

• f16: [41-X₁-X₃]
• f19: [37+41⋅X₄-X₁-6⋅X₃]
• f27: [37-X₁]
• f30: [36-X₁]
• f31: [36-X₁]
• f36: [4⋅X₃-X₁]
• f37: [4⋅X₃-X₁]
• f38: [4⋅X₃-X₁]

MPRF for transition t₈₇: f27(X₀, X₁, X₂, X₃, X₄) → f30(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₂ ∧ 1+X₁ ≤ X₃ ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+189 {O(n)}

MPRF:

• f16: [X₂-X₁]
• f19: [8+X₂-X₁-8⋅X₄]
• f27: [1+X₂-X₁]
• f30: [X₂-X₁]
• f31: [X₂-X₁]
• f36: [X₂-X₁]
• f37: [X₂-X₁]
• f38: [X₂-X₁]

MPRF for transition t₈₉: f30(X₀, X₁, X₂, X₃, X₄) → f31(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+1446 {O(n)}

MPRF:

• f16: [72-X₁-X₃]
• f19: [X₄-X₁]
• f27: [65-X₁]
• f30: [65-X₁]
• f31: [64-X₁]
• f36: [55+X₃-X₁]
• f37: [55+X₃-X₁]
• f38: [55+X₃-X₁]

MPRF for transition t₉₀: f30(X₀, X₁, X₂, X₃, X₄) → f36(0, X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+198 {O(n)}

MPRF:

• f16: [9-X₁]
• f19: [9⋅X₄-X₁]
• f27: [9-X₁]
• f30: [9-X₁]
• f31: [9-X₁]
• f36: [8+X₀-X₁]
• f37: [9-X₁]
• f38: [X₃-X₁]

MPRF for transition t₉₁: f31(X₀, X₁, X₂, X₃, X₄) → f36(1, X₁, X₂, X₃, X₄) :|: 1+L ≤ K ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+198 {O(n)}

MPRF:

• f16: [2+7⋅X₀-X₁]
• f19: [2+7⋅X₀-X₁]
• f27: [2+7⋅X₀-X₁]
• f30: [2+7⋅X₀-X₁]
• f31: [9-X₁]
• f36: [1+7⋅X₀-X₁]
• f37: [8⋅X₀-X₁]
• f38: [8⋅X₀-X₁]

MPRF for transition t₉₂: f31(X₀, X₁, X₂, X₃, X₄) → f36(1, X₁, X₂, X₃, X₄) :|: X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+234 {O(n)}

MPRF:

• f16: [17+10⋅X₀-X₁-2⋅X₃]
• f19: [10⋅X₀+3⋅X₄-X₁-2⋅X₃]
• f27: [2+7⋅X₀-X₁]
• f30: [2+7⋅X₀-X₁]
• f31: [9-X₁]
• f36: [1+7⋅X₀-X₁]
• f37: [1+7⋅X₀-X₁]
• f38: [1+7⋅X₀-X₁]

MPRF for transition t₉₄: f36(X₀, X₁, X₂, X₃, X₄) → f27(0, 1+X₁, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+189 {O(n)}

MPRF:

• f16: [-X₁]
• f19: [-X₁]
• f27: [9-X₁]
• f30: [X₃-X₁]
• f31: [X₃-X₁]
• f36: [9-X₁]
• f37: [9⋅X₀-X₁]
• f38: [X₃-X₁]

MPRF for transition t₉₅: f36(X₀, X₁, X₂, X₃, X₄) → f37(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₃ ≤ 9+X₀ ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₁ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₀+X₄ ≤ 2 ∧ X₄ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₀+X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+198 {O(n)}

MPRF:

• f16: [8+X₀-X₁]
• f19: [8+X₀-X₁]
• f27: [8+X₀-X₁]
• f30: [8+X₀-X₁]
• f31: [9-X₁]
• f36: [8+X₀-X₁]
• f37: [7+X₀-X₁]
• f38: [7+X₀-X₁]

MPRF for transition t₉₇: f37(X₀, X₁, X₂, X₃, X₄) → f38(X₀, X₁, X₂, X₃, X₄) :|: 1+L+X₂ ≤ K+X₁ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+198 {O(n)}

MPRF:

• f16: [9-X₁]
• f19: [X₃-X₁]
• f27: [9-X₁]
• f30: [9-X₁]
• f31: [9⋅X₀-X₁]
• f36: [X₃-X₁]
• f37: [9-X₁]
• f38: [8-X₁]

MPRF for transition t₉₈: f37(X₀, X₁, X₂, X₃, X₄) → f38(X₀, X₁, X₂, X₃, X₄) :|: 1+L+X₁ ≤ K+X₂ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+198 {O(n)}

MPRF:

• f16: [9-X₁]
• f19: [9⋅X₄-X₁]
• f27: [9-X₁]
• f30: [9-X₁]
• f31: [9-X₁]
• f36: [8+X₀-X₁]
• f37: [9-X₁]
• f38: [8-X₁]

MPRF for transition t₉₉: f38(X₀, X₁, X₂, X₃, X₄) → f27(1, 1+X₁, X₂, X₃, X₄) :|: 1+L+X₂ ≤ K+X₁ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+1562 {O(n)}

MPRF:

• f16: [71⋅X₀-X₁]
• f19: [71⋅X₀-X₁]
• f27: [71⋅X₀-X₁]
• f30: [71⋅X₀-X₁]
• f31: [71-X₁]
• f36: [71⋅X₀-X₁]
• f37: [8⋅X₀+7⋅X₃-X₁]
• f38: [70+X₀-X₁]

MPRF for transition t₁₀₀: f38(X₀, X₁, X₂, X₃, X₄) → f27(1, 1+X₁, X₂, X₃, X₄) :|: 1+L+X₁ ≤ K+X₂ ∧ X₁+X₃ ≤ 17 ∧ X₀+X₃ ≤ 10 ∧ X₃+X₄ ≤ 10 ∧ X₀+X₁ ≤ 9 ∧ X₁+X₄ ≤ 9 ∧ X₃ ≤ 9+X₂ ∧ X₃ ≤ 9 ∧ X₃ ≤ 9+X₄ ∧ X₃ ≤ 8+X₀ ∧ X₁ ≤ 8 ∧ X₁ ≤ 8+X₂ ∧ X₁ ≤ 8+X₄ ∧ X₁ ≤ 7+X₀ ∧ X₀+X₄ ≤ 2 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₄ ∧ 1+X₁ ≤ X₃ ∧ 8+X₀ ≤ X₃ ∧ 8+X₄ ≤ X₃ ∧ 9 ≤ X₂+X₃ ∧ 9 ≤ X₃ ∧ 9 ≤ X₃+X₄ ∧ 10 ≤ X₀+X₃ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₁+198 {O(n)}

MPRF:

• f16: [9⋅X₀-X₁]
• f19: [8+X₃-8⋅X₀-X₁-17⋅X₂]
• f27: [9⋅X₀-X₁]
• f30: [9⋅X₀-X₁]
• f31: [9-X₁]
• f36: [9⋅X₀-X₁]
• f37: [7⋅X₃-54⋅X₀-X₁]
• f38: [8+X₀-X₁]

All Bounds

Timebounds

Overall timebound:13⋅X₁+6091 {O(n)}
t₇₂: 1 {O(1)}
t₇₃: 10 {O(1)}
t₇₄: 1 {O(1)}
t₇₆: 10 {O(1)}
t₇₇: 9 {O(1)}
t₇₉: 1 {O(1)}
t₈₀: 1 {O(1)}
t₈₁: 10 {O(1)}
t₈₂: 1 {O(1)}
t₈₃: 1 {O(1)}
t₈₄: 208 {O(1)}
t₈₅: X₁+189 {O(n)}
t₈₆: X₁+827 {O(n)}
t₈₇: X₁+189 {O(n)}
t₈₉: X₁+1446 {O(n)}
t₉₀: X₁+198 {O(n)}
t₉₁: X₁+198 {O(n)}
t₉₂: X₁+234 {O(n)}
t₉₃: 10 {O(1)}
t₉₄: X₁+189 {O(n)}
t₉₅: X₁+198 {O(n)}
t₉₆: 1 {O(1)}
t₉₇: X₁+198 {O(n)}
t₉₈: X₁+198 {O(n)}
t₉₉: X₁+1562 {O(n)}
t₁₀₀: X₁+198 {O(n)}
t₁₀₁: 1 {O(1)}
t₁₀₃: 1 {O(1)}
t₁₀₄: 1 {O(1)}

Costbounds

Overall costbound: 13⋅X₁+6091 {O(n)}
t₇₂: 1 {O(1)}
t₇₃: 10 {O(1)}
t₇₄: 1 {O(1)}
t₇₆: 10 {O(1)}
t₇₇: 9 {O(1)}
t₇₉: 1 {O(1)}
t₈₀: 1 {O(1)}
t₈₁: 10 {O(1)}
t₈₂: 1 {O(1)}
t₈₃: 1 {O(1)}
t₈₄: 208 {O(1)}
t₈₅: X₁+189 {O(n)}
t₈₆: X₁+827 {O(n)}
t₈₇: X₁+189 {O(n)}
t₈₉: X₁+1446 {O(n)}
t₉₀: X₁+198 {O(n)}
t₉₁: X₁+198 {O(n)}
t₉₂: X₁+234 {O(n)}
t₉₃: 10 {O(1)}
t₉₄: X₁+189 {O(n)}
t₉₅: X₁+198 {O(n)}
t₉₆: 1 {O(1)}
t₉₇: X₁+198 {O(n)}
t₉₈: X₁+198 {O(n)}
t₉₉: X₁+1562 {O(n)}
t₁₀₀: X₁+198 {O(n)}
t₁₀₁: 1 {O(1)}
t₁₀₃: 1 {O(1)}
t₁₀₄: 1 {O(1)}

Sizebounds

t₇₂, X₀: 1 {O(1)}
t₇₂, X₁: X₁ {O(n)}
t₇₂, X₂: 0 {O(1)}
t₇₂, X₃: 9 {O(1)}
t₇₂, X₄: 1 {O(1)}
t₇₃, X₀: 1 {O(1)}
t₇₃, X₁: X₁ {O(n)}
t₇₃, X₂: 9 {O(1)}
t₇₃, X₃: 9 {O(1)}
t₇₃, X₄: 1 {O(1)}
t₇₄, X₀: 1 {O(1)}
t₇₄, X₁: X₁ {O(n)}
t₇₄, X₂: 0 {O(1)}
t₇₄, X₃: 9 {O(1)}
t₇₄, X₄: 1 {O(1)}
t₇₆, X₀: 1 {O(1)}
t₇₆, X₁: 16⋅X₁+9804 {O(n)}
t₇₆, X₂: 8 {O(1)}
t₇₆, X₃: 9 {O(1)}
t₇₆, X₄: 1 {O(1)}
t₇₇, X₀: 1 {O(1)}
t₇₇, X₁: 0 {O(1)}
t₇₇, X₂: 8 {O(1)}
t₇₇, X₃: 9 {O(1)}
t₇₇, X₄: 0 {O(1)}
t₇₉, X₀: 1 {O(1)}
t₇₉, X₁: 15⋅X₁+9804 {O(n)}
t₇₉, X₂: 209 {O(1)}
t₇₉, X₃: 9 {O(1)}
t₇₉, X₄: 1 {O(1)}
t₈₀, X₀: 1 {O(1)}
t₈₀, X₁: 15⋅X₁+9804 {O(n)}
t₈₀, X₂: 209 {O(1)}
t₈₀, X₃: 9 {O(1)}
t₈₀, X₄: 0 {O(1)}
t₈₁, X₀: 1 {O(1)}
t₈₁, X₁: 0 {O(1)}
t₈₁, X₂: 8 {O(1)}
t₈₁, X₃: 9 {O(1)}
t₈₁, X₄: 1 {O(1)}
t₈₂, X₀: 1 {O(1)}
t₈₂, X₁: 0 {O(1)}
t₈₂, X₂: 8 {O(1)}
t₈₂, X₃: 9 {O(1)}
t₈₂, X₄: 0 {O(1)}
t₈₃, X₀: 1 {O(1)}
t₈₃, X₁: 0 {O(1)}
t₈₃, X₂: 8 {O(1)}
t₈₃, X₃: 9 {O(1)}
t₈₃, X₄: 0 {O(1)}
t₈₄, X₀: 1 {O(1)}
t₈₄, X₁: 15⋅X₁+9804 {O(n)}
t₈₄, X₂: 209 {O(1)}
t₈₄, X₃: 9 {O(1)}
t₈₄, X₄: 1 {O(1)}
t₈₅, X₀: 1 {O(1)}
t₈₅, X₁: 9 {O(1)}
t₈₅, X₂: 8 {O(1)}
t₈₅, X₃: 9 {O(1)}
t₈₅, X₄: 1 {O(1)}
t₈₆, X₀: 1 {O(1)}
t₈₆, X₁: 8 {O(1)}
t₈₆, X₂: 7 {O(1)}
t₈₆, X₃: 9 {O(1)}
t₈₆, X₄: 1 {O(1)}
t₈₇, X₀: 1 {O(1)}
t₈₇, X₁: 3⋅X₁+1959 {O(n)}
t₈₇, X₂: 39 {O(1)}
t₈₇, X₃: 9 {O(1)}
t₈₇, X₄: 1 {O(1)}
t₈₉, X₀: 1 {O(1)}
t₈₉, X₁: 3⋅X₁+1959 {O(n)}
t₈₉, X₂: 39 {O(1)}
t₈₉, X₃: 9 {O(1)}
t₈₉, X₄: 1 {O(1)}
t₉₀, X₀: 0 {O(1)}
t₉₀, X₁: 3⋅X₁+1959 {O(n)}
t₉₀, X₂: 39 {O(1)}
t₉₀, X₃: 9 {O(1)}
t₉₀, X₄: 1 {O(1)}
t₉₁, X₀: 1 {O(1)}
t₉₁, X₁: 3⋅X₁+1959 {O(n)}
t₉₁, X₂: 39 {O(1)}
t₉₁, X₃: 9 {O(1)}
t₉₁, X₄: 1 {O(1)}
t₉₂, X₀: 1 {O(1)}
t₉₂, X₁: 3⋅X₁+1959 {O(n)}
t₉₂, X₂: 39 {O(1)}
t₉₂, X₃: 9 {O(1)}
t₉₂, X₄: 1 {O(1)}
t₉₃, X₀: 0 {O(1)}
t₉₃, X₁: 3⋅X₁+1959 {O(n)}
t₉₃, X₂: 39 {O(1)}
t₉₃, X₃: 9 {O(1)}
t₉₃, X₄: 1 {O(1)}
t₉₄, X₀: 0 {O(1)}
t₉₄, X₁: 3⋅X₁+1959 {O(n)}
t₉₄, X₂: 39 {O(1)}
t₉₄, X₃: 9 {O(1)}
t₉₄, X₄: 1 {O(1)}
t₉₅, X₀: 1 {O(1)}
t₉₅, X₁: 3⋅X₁+1959 {O(n)}
t₉₅, X₂: 39 {O(1)}
t₉₅, X₃: 9 {O(1)}
t₉₅, X₄: 1 {O(1)}
t₉₆, X₀: 0 {O(1)}
t₉₆, X₁: 3⋅X₁+1959 {O(n)}
t₉₆, X₂: 39 {O(1)}
t₉₆, X₃: 9 {O(1)}
t₉₆, X₄: 1 {O(1)}
t₉₇, X₀: 1 {O(1)}
t₉₇, X₁: 3⋅X₁+1959 {O(n)}
t₉₇, X₂: 39 {O(1)}
t₉₇, X₃: 9 {O(1)}
t₉₇, X₄: 1 {O(1)}
t₉₈, X₀: 1 {O(1)}
t₉₈, X₁: 3⋅X₁+1959 {O(n)}
t₉₈, X₂: 39 {O(1)}
t₉₈, X₃: 9 {O(1)}
t₉₈, X₄: 1 {O(1)}
t₉₉, X₀: 1 {O(1)}
t₉₉, X₁: 3⋅X₁+1959 {O(n)}
t₉₉, X₂: 39 {O(1)}
t₉₉, X₃: 9 {O(1)}
t₉₉, X₄: 1 {O(1)}
t₁₀₀, X₀: 1 {O(1)}
t₁₀₀, X₁: 3⋅X₁+1959 {O(n)}
t₁₀₀, X₂: 39 {O(1)}
t₁₀₀, X₃: 9 {O(1)}
t₁₀₀, X₄: 1 {O(1)}
t₁₀₁, X₀: 0 {O(1)}
t₁₀₁, X₁: 3⋅X₁+1959 {O(n)}
t₁₀₁, X₂: 39 {O(1)}
t₁₀₁, X₃: 9 {O(1)}
t₁₀₁, X₄: 1 {O(1)}
t₁₀₃, X₀: 1 {O(1)}
t₁₀₃, X₁: 15⋅X₁+9804 {O(n)}
t₁₀₃, X₂: 209 {O(1)}
t₁₀₃, X₃: 9 {O(1)}
t₁₀₃, X₄: 1 {O(1)}
t₁₀₄, X₀: 0 {O(1)}
t₁₀₄, X₁: 15⋅X₁+9804 {O(n)}
t₁₀₄, X₂: 209 {O(1)}
t₁₀₄, X₃: 9 {O(1)}
t₁₀₄, X₄: 1 {O(1)}