KoAT2 Proof Output

Initial Problem

Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lbl111, lbl161, lbl221, start, start0, stop
Transitions:
t₁₂: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, 1+X₃, X₄, 11+X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 111 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ 2 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₄: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl161(X₀, X₅-20, X₂, X₃-1, X₄, X₅-10, X₆, X₇) :|: X₅ ≤ 111 ∧ X₀ ≤ 100 ∧ X₇ ≤ 100 ∧ X₃ ≤ 2 ∧ 2 ≤ X₃ ∧ 100 ≤ X₀ ∧ 100 ≤ X₇ ∧ 111 ≤ X₅ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₅: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 121 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ 112 ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₆: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 121 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ 2 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ 112 ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₇: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃-1, X₄, X₅-9, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ 11⋅X₃+X₇ ≤ 122 ∧ X₅ ≤ 111 ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 111 ≤ X₅ ∧ 122 ≤ X₀+11⋅X₃ ∧ 122 ≤ 11⋅X₃+X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₃: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ X₃ ≤ 1 ∧ 2 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ 112 ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₃: lbl161(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl161(X₀, X₅-20, X₂, X₃-1, X₄, X₅-10, X₆, X₇) :|: X₅ ≤ 101 ∧ X₁ ≤ 91 ∧ X₀ ≤ 89 ∧ X₃ ≤ 2 ∧ 1 ≤ 0 ∧ 2 ≤ X₃ ∧ 91 ≤ X₁ ∧ 101 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₄: lbl161(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 101 ∧ X₁ ≤ 91 ∧ X₀ ≤ 89 ∧ X₃ ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₃ ∧ 91 ≤ X₁ ∧ 101 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₅: lbl161(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 101 ∧ X₁ ≤ 91 ∧ X₀ ≤ 89 ∧ X₃ ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₃ ∧ 91 ≤ X₁ ∧ 101 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₆: lbl161(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃-1, X₄, X₅-9, X₆, X₇) :|: X₅ ≤ 101 ∧ X₁ ≤ 91 ∧ X₀ ≤ 89 ∧ X₃ ≤ 1 ∧ 1 ≤ 0 ∧ 1 ≤ X₃ ∧ 91 ≤ X₁ ∧ 101 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₂: lbl161(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ 101 ∧ X₁ ≤ 91 ∧ X₀ ≤ 89 ∧ X₃ ≤ 1 ∧ 1 ≤ X₃ ∧ 91 ≤ X₁ ∧ 101 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₈: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl161(X₀, X₅-20, X₂, X₃-1, X₄, X₅-10, X₆, X₇) :|: X₅ ≤ 111 ∧ X₀ ≤ 99 ∧ X₀ ≤ 89 ∧ X₃ ≤ 2 ∧ 2 ≤ X₃ ∧ 111 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₉: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 111 ∧ X₅ ≤ 110 ∧ X₀ ≤ 89 ∧ X₀+11⋅X₃ ≤ 10+X₅ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 102 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₀: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 111 ∧ X₅ ≤ 110 ∧ X₀ ≤ 89 ∧ X₀+11⋅X₃ ≤ 10+X₅ ∧ 2 ≤ X₃ ∧ 102 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁₁: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃-1, X₄, X₅-9, X₆, X₇) :|: X₀+11⋅X₃ ≤ 121 ∧ X₅ ≤ 111 ∧ X₀ ≤ 89 ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 111 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₇: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ 111 ∧ X₀ ≤ 89 ∧ X₀+11⋅X₃ ≤ 10+X₅ ∧ X₃ ≤ 1 ∧ 2 ≤ X₃ ∧ 102 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, 2, X₄, 11+X₇, X₆, X₇) :|: X₀ ≤ 100 ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₀: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₇-10, X₂, 1, X₄, X₇, X₆, X₇) :|: 101 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₈: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)

Preprocessing

Cut unsatisfiable transition [t₃: lbl161→lbl161; t₄: lbl161→lbl221; t₅: lbl161→lbl221; t₆: lbl161→lbl221; t₇: lbl221→stop; t₁₃: lbl111→stop]

Found invariant X₇ ≤ X₅ ∧ X₇ ≤ 10+X₁ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 10+X₁ ∧ 101 ≤ X₅ ∧ 102 ≤ X₃+X₅ ∧ 100+X₃ ≤ X₅ ∧ 192 ≤ X₁+X₅ ∧ 10+X₁ ≤ X₅ ∧ X₀ ≤ X₅ ∧ X₃ ≤ 1 ∧ 90+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 92 ≤ X₁+X₃ ∧ 91 ≤ X₁ ∧ X₀ ≤ 10+X₁ for location stop

Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location start

Found invariant X₇ ≤ 100 ∧ 11+X₇ ≤ X₅ ∧ X₇ ≤ 98+X₃ ∧ X₃+X₇ ≤ 102 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 200 ∧ X₀ ≤ X₇ ∧ 11+X₀ ≤ X₅ ∧ X₀+X₃ ≤ 102 ∧ 2 ≤ X₃ ∧ X₀ ≤ 98+X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀ ≤ 100 for location lbl111

Found invariant X₇ ≤ 99 ∧ 12+X₇ ≤ X₅ ∧ X₇ ≤ 97+X₃ ∧ X₃+X₇ ≤ 101 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 198 ∧ X₀ ≤ X₇ ∧ 12+X₀ ≤ X₅ ∧ X₀+X₃ ≤ 101 ∧ 2 ≤ X₃ ∧ X₀ ≤ 97+X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀ ≤ 99 for location lbl221

Found invariant X₇ ≤ 100 ∧ 1+X₇ ≤ X₅ ∧ X₅+X₇ ≤ 201 ∧ X₇ ≤ 99+X₃ ∧ X₃+X₇ ≤ 101 ∧ X₇ ≤ 9+X₁ ∧ X₁+X₇ ≤ 191 ∧ X₇ ≤ X₀ ∧ X₀+X₇ ≤ 200 ∧ X₀ ≤ X₇ ∧ X₅ ≤ 101 ∧ X₅ ≤ 100+X₃ ∧ X₃+X₅ ≤ 102 ∧ X₅ ≤ 10+X₁ ∧ X₁+X₅ ≤ 192 ∧ X₀+X₅ ≤ 201 ∧ 101 ≤ X₅ ∧ 102 ≤ X₃+X₅ ∧ 100+X₃ ≤ X₅ ∧ 192 ≤ X₁+X₅ ∧ 10+X₁ ≤ X₅ ∧ 1+X₀ ≤ X₅ ∧ X₃ ≤ 1 ∧ 90+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 92 ∧ X₀+X₃ ≤ 101 ∧ 1 ≤ X₃ ∧ 92 ≤ X₁+X₃ ∧ X₁ ≤ 90+X₃ ∧ X₀ ≤ 99+X₃ ∧ X₁ ≤ 91 ∧ X₀+X₁ ≤ 191 ∧ 91 ≤ X₁ ∧ X₀ ≤ 9+X₁ ∧ X₀ ≤ 100 for location lbl161

Problem after Preprocessing

Start: start0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: lbl111, lbl161, lbl221, start, start0, stop
Transitions:
t₁₂: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, 1+X₃, X₄, 11+X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 111 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ 2 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 200 ∧ X₀+X₃ ≤ 102 ∧ X₃+X₇ ≤ 102 ∧ X₀ ≤ 100 ∧ X₇ ≤ 100 ∧ X₀ ≤ 98+X₃ ∧ X₇ ≤ 98+X₃ ∧ 11+X₀ ≤ X₅ ∧ 11+X₇ ≤ X₅
t₁₄: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl161(X₀, X₅-20, X₂, X₃-1, X₄, X₅-10, X₆, X₇) :|: X₅ ≤ 111 ∧ X₀ ≤ 100 ∧ X₇ ≤ 100 ∧ X₃ ≤ 2 ∧ 2 ≤ X₃ ∧ 100 ≤ X₀ ∧ 100 ≤ X₇ ∧ 111 ≤ X₅ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 200 ∧ X₀+X₃ ≤ 102 ∧ X₃+X₇ ≤ 102 ∧ X₀ ≤ 98+X₃ ∧ X₇ ≤ 98+X₃ ∧ 11+X₀ ≤ X₅ ∧ 11+X₇ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₁₅: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 121 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ 112 ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 200 ∧ X₀+X₃ ≤ 102 ∧ X₃+X₇ ≤ 102 ∧ X₀ ≤ 100 ∧ X₇ ≤ 100 ∧ X₀ ≤ 98+X₃ ∧ X₇ ≤ 98+X₃ ∧ 11+X₀ ≤ X₅ ∧ 11+X₇ ≤ X₅
t₁₆: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 121 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ 2 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ 112 ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 200 ∧ X₀+X₃ ≤ 102 ∧ X₃+X₇ ≤ 102 ∧ X₀ ≤ 100 ∧ X₇ ≤ 100 ∧ X₀ ≤ 98+X₃ ∧ X₇ ≤ 98+X₃ ∧ 11+X₀ ≤ X₅ ∧ 11+X₇ ≤ X₅
t₁₇: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃-1, X₄, X₅-9, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ 11⋅X₃+X₇ ≤ 122 ∧ X₅ ≤ 111 ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 111 ≤ X₅ ∧ 122 ≤ X₀+11⋅X₃ ∧ 122 ≤ 11⋅X₃+X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 200 ∧ X₀+X₃ ≤ 102 ∧ X₃+X₇ ≤ 102 ∧ X₀ ≤ 100 ∧ X₇ ≤ 100 ∧ X₀ ≤ 98+X₃ ∧ X₇ ≤ 98+X₃ ∧ 11+X₀ ≤ X₅ ∧ 11+X₇ ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇
t₂: lbl161(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₅ ≤ 101 ∧ X₁ ≤ 91 ∧ X₀ ≤ 89 ∧ X₃ ≤ 1 ∧ 1 ≤ X₃ ∧ 91 ≤ X₁ ∧ 101 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₀+X₅ ≤ 201 ∧ X₅+X₇ ≤ 201 ∧ X₀+X₇ ≤ 200 ∧ X₁+X₅ ≤ 192 ∧ X₀+X₁ ≤ 191 ∧ X₁+X₇ ≤ 191 ∧ X₃+X₅ ≤ 102 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₀ ≤ 100 ∧ X₅ ≤ 100+X₃ ∧ X₇ ≤ 100 ∧ X₀ ≤ 99+X₃ ∧ X₇ ≤ 99+X₃ ∧ X₁+X₃ ≤ 92 ∧ X₁ ≤ 90+X₃ ∧ X₅ ≤ 10+X₁ ∧ X₀ ≤ 9+X₁ ∧ X₇ ≤ 9+X₁ ∧ 1+X₀ ≤ X₅ ∧ 1+X₇ ≤ X₅ ∧ 10+X₁ ≤ X₅ ∧ 90+X₃ ≤ X₁ ∧ 92 ≤ X₁+X₃ ∧ 100+X₃ ≤ X₅ ∧ 102 ≤ X₃+X₅ ∧ 192 ≤ X₁+X₅
t₈: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl161(X₀, X₅-20, X₂, X₃-1, X₄, X₅-10, X₆, X₇) :|: X₅ ≤ 111 ∧ X₀ ≤ 99 ∧ X₀ ≤ 89 ∧ X₃ ≤ 2 ∧ 2 ≤ X₃ ∧ 111 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 198 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₇ ≤ 99 ∧ X₀ ≤ 97+X₃ ∧ X₇ ≤ 97+X₃ ∧ 12+X₀ ≤ X₅ ∧ 12+X₇ ≤ X₅
t₉: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 111 ∧ X₅ ≤ 110 ∧ X₀ ≤ 89 ∧ X₀+11⋅X₃ ≤ 10+X₅ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 102 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 198 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₀ ≤ 99 ∧ X₇ ≤ 99 ∧ X₀ ≤ 97+X₃ ∧ X₇ ≤ 97+X₃ ∧ 12+X₀ ≤ X₅ ∧ 12+X₇ ≤ X₅
t₁₀: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 111 ∧ X₅ ≤ 110 ∧ X₀ ≤ 89 ∧ X₀+11⋅X₃ ≤ 10+X₅ ∧ 2 ≤ X₃ ∧ 102 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 198 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₀ ≤ 99 ∧ X₇ ≤ 99 ∧ X₀ ≤ 97+X₃ ∧ X₇ ≤ 97+X₃ ∧ 12+X₀ ≤ X₅ ∧ 12+X₇ ≤ X₅
t₁₁: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃-1, X₄, X₅-9, X₆, X₇) :|: X₀+11⋅X₃ ≤ 121 ∧ X₅ ≤ 111 ∧ X₀ ≤ 89 ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 111 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 198 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₀ ≤ 99 ∧ X₇ ≤ 99 ∧ X₀ ≤ 97+X₃ ∧ X₇ ≤ 97+X₃ ∧ 12+X₀ ≤ X₅ ∧ 12+X₇ ≤ X₅
t₁: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, 2, X₄, 11+X₇, X₆, X₇) :|: X₀ ≤ 100 ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₀: start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → stop(X₀, X₇-10, X₂, 1, X₄, X₇, X₆, X₇) :|: 101 ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₈: start0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → start(X₀, X₂, X₂, X₄, X₄, X₆, X₆, X₀)

MPRF for transition t₁₂: lbl111(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl111(X₀, X₁, X₂, 1+X₃, X₄, 11+X₅, X₆, X₇) :|: X₀+11⋅X₃ ≤ 122 ∧ X₀+11⋅X₃ ≤ 111 ∧ X₀+11⋅X₃ ≤ 11+X₅ ∧ 2 ≤ X₃ ∧ 11+X₅ ≤ X₀+11⋅X₃ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 200 ∧ X₀+X₃ ≤ 102 ∧ X₃+X₇ ≤ 102 ∧ X₀ ≤ 100 ∧ X₇ ≤ 100 ∧ X₀ ≤ 98+X₃ ∧ X₇ ≤ 98+X₃ ∧ 11+X₀ ≤ X₅ ∧ 11+X₇ ≤ X₅ of depth 1:

new bound:

X₀+94 {O(n)}

MPRF:

• lbl111: [92-X₀-X₃]

MPRF for transition t₉: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 111 ∧ X₅ ≤ 110 ∧ X₀ ≤ 89 ∧ X₀+11⋅X₃ ≤ 10+X₅ ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 102 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 198 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₀ ≤ 99 ∧ X₇ ≤ 99 ∧ X₀ ≤ 97+X₃ ∧ X₇ ≤ 97+X₃ ∧ 12+X₀ ≤ X₅ ∧ 12+X₇ ≤ X₅ of depth 1:

new bound:

27⋅X₀+3189 {O(n)}

MPRF:

• lbl221: [85+9⋅X₃-X₅]

MPRF for transition t₁₀: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆, X₇) :|: X₅ ≤ 111 ∧ X₅ ≤ 110 ∧ X₀ ≤ 89 ∧ X₀+11⋅X₃ ≤ 10+X₅ ∧ 2 ≤ X₃ ∧ 102 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 198 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₀ ≤ 99 ∧ X₇ ≤ 99 ∧ X₀ ≤ 97+X₃ ∧ X₇ ≤ 97+X₃ ∧ 12+X₀ ≤ X₅ ∧ 12+X₇ ≤ X₅ of depth 1:

new bound:

27⋅X₀+3216 {O(n)}

MPRF:

• lbl221: [94+9⋅X₃-X₅]

MPRF for transition t₁₁: lbl221(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → lbl221(X₀, X₁, X₂, X₃-1, X₄, X₅-9, X₆, X₇) :|: X₀+11⋅X₃ ≤ 121 ∧ X₅ ≤ 111 ∧ X₀ ≤ 89 ∧ 2 ≤ X₃ ∧ 3 ≤ X₃ ∧ 111 ≤ X₅ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀+X₇ ≤ 198 ∧ X₀+X₃ ≤ 101 ∧ X₃+X₇ ≤ 101 ∧ X₀ ≤ 99 ∧ X₇ ≤ 99 ∧ X₀ ≤ 97+X₃ ∧ X₇ ≤ 97+X₃ ∧ 12+X₀ ≤ X₅ ∧ 12+X₇ ≤ X₅ of depth 1:

new bound:

3⋅X₀+290 {O(n)}

MPRF:

• lbl221: [X₃]

All Bounds

Timebounds

Overall timebound:58⋅X₀+6798 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 27⋅X₀+3189 {O(n)}
t₁₀: 27⋅X₀+3216 {O(n)}
t₁₁: 3⋅X₀+290 {O(n)}
t₁₂: X₀+94 {O(n)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}

Costbounds

Overall costbound: 58⋅X₀+6798 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 27⋅X₀+3189 {O(n)}
t₁₀: 27⋅X₀+3216 {O(n)}
t₁₁: 3⋅X₀+290 {O(n)}
t₁₂: X₀+94 {O(n)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₀ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: 1 {O(1)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₀ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₂ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: 2 {O(1)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₀+11 {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₀ {O(n)}
t₂, X₀: 4⋅X₀ {O(n)}
t₂, X₁: 91 {O(1)}
t₂, X₂: 4⋅X₂ {O(n)}
t₂, X₃: 1 {O(1)}
t₂, X₄: 4⋅X₄ {O(n)}
t₂, X₅: 101 {O(1)}
t₂, X₆: 4⋅X₆ {O(n)}
t₂, X₇: 4⋅X₀ {O(n)}
t₈, X₀: 4⋅X₀ {O(n)}
t₈, X₁: 91 {O(1)}
t₈, X₂: 4⋅X₂ {O(n)}
t₈, X₃: 1 {O(1)}
t₈, X₄: 4⋅X₄ {O(n)}
t₈, X₅: 101 {O(1)}
t₈, X₆: 4⋅X₆ {O(n)}
t₈, X₇: 4⋅X₀ {O(n)}
t₉, X₀: 4⋅X₀ {O(n)}
t₉, X₁: 4⋅X₂ {O(n)}
t₉, X₂: 4⋅X₂ {O(n)}
t₉, X₃: 3⋅X₀+290 {O(n)}
t₉, X₄: 4⋅X₄ {O(n)}
t₉, X₅: 111 {O(1)}
t₉, X₆: 4⋅X₆ {O(n)}
t₉, X₇: 4⋅X₀ {O(n)}
t₁₀, X₀: 4⋅X₀ {O(n)}
t₁₀, X₁: 4⋅X₂ {O(n)}
t₁₀, X₂: 4⋅X₂ {O(n)}
t₁₀, X₃: 3⋅X₀+290 {O(n)}
t₁₀, X₄: 4⋅X₄ {O(n)}
t₁₀, X₅: 111 {O(1)}
t₁₀, X₆: 4⋅X₆ {O(n)}
t₁₀, X₇: 4⋅X₀ {O(n)}
t₁₁, X₀: 4⋅X₀ {O(n)}
t₁₁, X₁: 4⋅X₂ {O(n)}
t₁₁, X₂: 4⋅X₂ {O(n)}
t₁₁, X₃: 3⋅X₀+290 {O(n)}
t₁₁, X₄: 4⋅X₄ {O(n)}
t₁₁, X₅: 102 {O(1)}
t₁₁, X₆: 4⋅X₆ {O(n)}
t₁₁, X₇: 4⋅X₀ {O(n)}
t₁₂, X₀: X₀ {O(n)}
t₁₂, X₁: X₂ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₀+96 {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: 12⋅X₀+1045 {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₂, X₇: X₀ {O(n)}
t₁₄, X₀: 100 {O(1)}
t₁₄, X₁: 91 {O(1)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: 1 {O(1)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: 101 {O(1)}
t₁₄, X₆: X₆ {O(n)}
t₁₄, X₇: 100 {O(1)}
t₁₅, X₀: X₀ {O(n)}
t₁₅, X₁: X₂ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₀+96 {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: 111 {O(1)}
t₁₅, X₆: X₆ {O(n)}
t₁₅, X₇: X₀ {O(n)}
t₁₆, X₀: 2⋅X₀ {O(n)}
t₁₆, X₁: 2⋅X₂ {O(n)}
t₁₆, X₂: 2⋅X₂ {O(n)}
t₁₆, X₃: X₀+98 {O(n)}
t₁₆, X₄: 2⋅X₄ {O(n)}
t₁₆, X₅: 111 {O(1)}
t₁₆, X₆: 2⋅X₆ {O(n)}
t₁₆, X₇: 2⋅X₀ {O(n)}
t₁₇, X₀: X₀ {O(n)}
t₁₇, X₁: X₂ {O(n)}
t₁₇, X₂: X₂ {O(n)}
t₁₇, X₃: X₀+96 {O(n)}
t₁₇, X₄: X₄ {O(n)}
t₁₇, X₅: 102 {O(1)}
t₁₇, X₆: X₆ {O(n)}
t₁₇, X₇: X₀ {O(n)}
t₁₈, X₀: X₀ {O(n)}
t₁₈, X₁: X₂ {O(n)}
t₁₈, X₂: X₂ {O(n)}
t₁₈, X₃: X₄ {O(n)}
t₁₈, X₄: X₄ {O(n)}
t₁₈, X₅: X₆ {O(n)}
t₁₈, X₆: X₆ {O(n)}
t₁₈, X₇: X₀ {O(n)}