Initial Problem

Start: eval_sipma91_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars:
Locations: eval_sipma91_bb0_in, eval_sipma91_bb1_in, eval_sipma91_bb2_in, eval_sipma91_bb3_in, eval_sipma91_bb4_in, eval_sipma91_bb5_in, eval_sipma91_bb6_in, eval_sipma91_bb7_in, eval_sipma91_bb8_in, eval_sipma91_start, eval_sipma91_stop
Transitions:
t₂: eval_sipma91_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb1_in(X₀, X₁, X₂, X₂, X₄, X₅, 1, X₇, X₈) :|: X₂ ≤ 100
t₁: eval_sipma91_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 101 ≤ X₂
t₃: eval_sipma91_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ 100
t₄: eval_sipma91_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₆, X₈) :|: 101 ≤ X₃
t₅: eval_sipma91_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb1_in(X₀, X₁, X₂, 11+X₃, X₄, X₅, 1+X₆, X₇, X₈)
t₆: eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 2 ≤ X₇
t₇: eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ 1
t₈: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄-10, X₅, X₆, X₇-1, X₈) :|: X₇ ≤ 2 ∧ 2 ≤ X₇ ∧ 111 ≤ X₄
t₉: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb5_in(X₄-10, X₇-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ 110
t₁₀: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb5_in(X₄-10, X₇-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ 1
t₁₁: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb5_in(X₄-10, X₇-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 3 ≤ X₇
t₁₂: eval_sipma91_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 101 ≤ X₀
t₁₃: eval_sipma91_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₀, X₆, X₇, X₁) :|: X₀ ≤ 100
t₁₄: eval_sipma91_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₀-10, X₆, X₇, X₁-1)
t₁₅: eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, 11+X₅, X₅, X₆, 1+X₈, X₈)
t₁₆: eval_sipma91_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₀: eval_sipma91_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)

Preprocessing

Cut unsatisfiable transition [t₁₀: eval_sipma91_bb4_in→eval_sipma91_bb5_in]

Found invariant 1 ≤ X₆ ∧ X₃ ≤ 99+X₆ ∧ X₂ ≤ 99+X₆ ∧ X₃ ≤ 100 ∧ X₂+X₃ ≤ 200 ∧ X₂ ≤ X₃ ∧ X₂ ≤ 100 for location eval_sipma91_bb2_in

Found invariant 1+X₈ ≤ X₇ ∧ 1+X₈ ≤ X₆ ∧ X₈ ≤ X₁ ∧ 1 ≤ X₈ ∧ 3 ≤ X₇+X₈ ∧ X₇ ≤ 2+X₈ ∧ 3 ≤ X₆+X₈ ∧ 92 ≤ X₅+X₈ ∧ X₅ ≤ 99+X₈ ∧ 102 ≤ X₄+X₈ ∧ X₄ ≤ 110+X₈ ∧ 102 ≤ X₃+X₈ ∧ X₃ ≤ 110+X₈ ∧ X₂ ≤ 99+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ 1+X₈ ∧ 92 ≤ X₀+X₈ ∧ X₀ ≤ 100+X₈ ∧ X₇ ≤ X₆ ∧ X₇ ≤ 1+X₁ ∧ 2 ≤ X₇ ∧ 4 ≤ X₆+X₇ ∧ 93 ≤ X₅+X₇ ∧ X₅ ≤ 98+X₇ ∧ 103 ≤ X₄+X₇ ∧ X₄ ≤ 108+X₇ ∧ 103 ≤ X₃+X₇ ∧ X₃ ≤ 109+X₇ ∧ X₂ ≤ 98+X₇ ∧ 3 ≤ X₁+X₇ ∧ 1+X₁ ≤ X₇ ∧ 93 ≤ X₀+X₇ ∧ X₀ ≤ 98+X₇ ∧ 2 ≤ X₆ ∧ 93 ≤ X₅+X₆ ∧ X₅ ≤ 98+X₆ ∧ 103 ≤ X₄+X₆ ∧ X₄ ≤ 108+X₆ ∧ 103 ≤ X₃+X₆ ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 98+X₆ ∧ 3 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₆ ∧ 93 ≤ X₀+X₆ ∧ X₀ ≤ 98+X₆ ∧ X₅ ≤ 100 ∧ 10+X₅ ≤ X₄ ∧ X₄+X₅ ≤ 210 ∧ 1+X₅ ≤ X₃ ∧ X₃+X₅ ≤ 211 ∧ X₂+X₅ ≤ 200 ∧ X₅ ≤ 99+X₁ ∧ X₅ ≤ X₀ ∧ X₀+X₅ ≤ 200 ∧ 91 ≤ X₅ ∧ 192 ≤ X₄+X₅ ∧ X₄ ≤ 20+X₅ ∧ 192 ≤ X₃+X₅ ∧ X₃ ≤ 20+X₅ ∧ X₂ ≤ 9+X₅ ∧ 92 ≤ X₁+X₅ ∧ 182 ≤ X₀+X₅ ∧ X₀ ≤ 10+X₅ ∧ X₄ ≤ 111 ∧ X₄ ≤ 10+X₃ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₄ ≤ 211 ∧ X₄ ≤ 109+X₁ ∧ X₄ ≤ 10+X₀ ∧ X₀+X₄ ≤ 212 ∧ 101 ≤ X₄ ∧ 202 ≤ X₃+X₄ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₄ ∧ 102 ≤ X₁+X₄ ∧ 192 ≤ X₀+X₄ ∧ 10+X₀ ≤ X₄ ∧ X₃ ≤ 111 ∧ X₂+X₃ ≤ 211 ∧ X₃ ≤ 110+X₁ ∧ X₃ ≤ 20+X₀ ∧ X₀+X₃ ≤ 212 ∧ 101 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 102 ≤ X₁+X₃ ∧ 192 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 201 ∧ 1 ≤ X₁ ∧ 92 ≤ X₀+X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 101 ∧ 91 ≤ X₀ for location eval_sipma91_bb7_in

Found invariant 1 ≤ X₆ ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 99+X₆ ∧ X₃ ≤ 111 ∧ X₂+X₃ ≤ 211 ∧ X₂ ≤ X₃ ∧ X₂ ≤ 100 for location eval_sipma91_bb1_in

Found invariant X₇ ≤ X₆ ∧ X₇ ≤ 1+X₁ ∧ 3 ≤ X₇ ∧ 6 ≤ X₆+X₇ ∧ 114 ≤ X₄+X₇ ∧ X₄ ≤ 108+X₇ ∧ 104 ≤ X₃+X₇ ∧ X₃ ≤ 108+X₇ ∧ X₂ ≤ 97+X₇ ∧ 5 ≤ X₁+X₇ ∧ 1+X₁ ≤ X₇ ∧ 104 ≤ X₀+X₇ ∧ X₀ ≤ 98+X₇ ∧ 3 ≤ X₆ ∧ 114 ≤ X₄+X₆ ∧ X₄ ≤ 108+X₆ ∧ 104 ≤ X₃+X₆ ∧ X₃ ≤ 108+X₆ ∧ X₂ ≤ 97+X₆ ∧ 5 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₆ ∧ 104 ≤ X₀+X₆ ∧ X₀ ≤ 98+X₆ ∧ X₄ ≤ 111 ∧ X₄ ≤ 10+X₃ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₄ ≤ 211 ∧ X₄ ≤ 109+X₁ ∧ X₄ ≤ 10+X₀ ∧ X₀+X₄ ≤ 212 ∧ 111 ≤ X₄ ∧ 212 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 11+X₂ ≤ X₄ ∧ 113 ≤ X₁+X₄ ∧ 212 ≤ X₀+X₄ ∧ 10+X₀ ≤ X₄ ∧ X₃ ≤ 111 ∧ X₂+X₃ ≤ 211 ∧ X₃ ≤ 109+X₁ ∧ X₃ ≤ 10+X₀ ∧ X₀+X₃ ≤ 212 ∧ 101 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 103 ≤ X₁+X₃ ∧ 202 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 100 ∧ X₂ ≤ 98+X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 201 ∧ 2 ≤ X₁ ∧ 103 ≤ X₀+X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 101 ∧ 101 ≤ X₀ for location eval_sipma91_bb6_in

Found invariant X₇ ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 102 ≤ X₄+X₇ ∧ X₄ ≤ 109+X₇ ∧ 102 ≤ X₃+X₇ ∧ X₃ ≤ 110+X₇ ∧ X₂ ≤ 99+X₇ ∧ 1 ≤ X₆ ∧ 102 ≤ X₄+X₆ ∧ X₄ ≤ 109+X₆ ∧ 102 ≤ X₃+X₆ ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 99+X₆ ∧ X₄ ≤ 111 ∧ X₄ ≤ 10+X₃ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₄ ≤ 211 ∧ 101 ≤ X₄ ∧ 202 ≤ X₃+X₄ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 111 ∧ X₂+X₃ ≤ 211 ∧ 101 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ X₂ ≤ 100 for location eval_sipma91_bb3_in

Found invariant X₇ ≤ X₆ ∧ 2 ≤ X₇ ∧ 4 ≤ X₆+X₇ ∧ 103 ≤ X₄+X₇ ∧ X₄ ≤ 109+X₇ ∧ 103 ≤ X₃+X₇ ∧ X₃ ≤ 109+X₇ ∧ X₂ ≤ 98+X₇ ∧ 2 ≤ X₆ ∧ 103 ≤ X₄+X₆ ∧ X₄ ≤ 109+X₆ ∧ 103 ≤ X₃+X₆ ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 98+X₆ ∧ X₄ ≤ 111 ∧ X₄ ≤ 10+X₃ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₄ ≤ 211 ∧ 101 ≤ X₄ ∧ 202 ≤ X₃+X₄ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ 111 ∧ X₂+X₃ ≤ 211 ∧ 101 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ X₂ ≤ 100 for location eval_sipma91_bb4_in

Found invariant X₇ ≤ X₆ ∧ X₇ ≤ 1+X₁ ∧ 2 ≤ X₇ ∧ 4 ≤ X₆+X₇ ∧ 103 ≤ X₄+X₇ ∧ X₄ ≤ 108+X₇ ∧ 103 ≤ X₃+X₇ ∧ X₃ ≤ 109+X₇ ∧ X₂ ≤ 98+X₇ ∧ 3 ≤ X₁+X₇ ∧ 1+X₁ ≤ X₇ ∧ 93 ≤ X₀+X₇ ∧ X₀ ≤ 98+X₇ ∧ 2 ≤ X₆ ∧ 103 ≤ X₄+X₆ ∧ X₄ ≤ 108+X₆ ∧ 103 ≤ X₃+X₆ ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 98+X₆ ∧ 3 ≤ X₁+X₆ ∧ 1+X₁ ≤ X₆ ∧ 93 ≤ X₀+X₆ ∧ X₀ ≤ 98+X₆ ∧ X₄ ≤ 111 ∧ X₄ ≤ 10+X₃ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₄ ≤ 211 ∧ X₄ ≤ 109+X₁ ∧ X₄ ≤ 10+X₀ ∧ X₀+X₄ ≤ 212 ∧ 101 ≤ X₄ ∧ 202 ≤ X₃+X₄ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₄ ∧ 102 ≤ X₁+X₄ ∧ 192 ≤ X₀+X₄ ∧ 10+X₀ ≤ X₄ ∧ X₃ ≤ 111 ∧ X₂+X₃ ≤ 211 ∧ X₃ ≤ 110+X₁ ∧ X₃ ≤ 20+X₀ ∧ X₀+X₃ ≤ 212 ∧ 101 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 102 ≤ X₁+X₃ ∧ 192 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ 9+X₀ ∧ X₀+X₂ ≤ 201 ∧ 1 ≤ X₁ ∧ 92 ≤ X₀+X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 101 ∧ 91 ≤ X₀ for location eval_sipma91_bb5_in

Problem after Preprocessing

Start: eval_sipma91_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars:
Locations: eval_sipma91_bb0_in, eval_sipma91_bb1_in, eval_sipma91_bb2_in, eval_sipma91_bb3_in, eval_sipma91_bb4_in, eval_sipma91_bb5_in, eval_sipma91_bb6_in, eval_sipma91_bb7_in, eval_sipma91_bb8_in, eval_sipma91_start, eval_sipma91_stop
Transitions:
t₂: eval_sipma91_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb1_in(X₀, X₁, X₂, X₂, X₄, X₅, 1, X₇, X₈) :|: X₂ ≤ 100
t₁: eval_sipma91_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 101 ≤ X₂
t₃: eval_sipma91_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ 100 ∧ X₂+X₃ ≤ 211 ∧ X₃ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ 1 ≤ X₆ ∧ X₂ ≤ X₃
t₄: eval_sipma91_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₆, X₈) :|: 101 ≤ X₃ ∧ X₂+X₃ ≤ 211 ∧ X₃ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ 1 ≤ X₆ ∧ X₂ ≤ X₃
t₅: eval_sipma91_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb1_in(X₀, X₁, X₂, 11+X₃, X₄, X₅, 1+X₆, X₇, X₈) :|: X₂+X₃ ≤ 200 ∧ X₂ ≤ 100 ∧ X₃ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ X₃ ≤ 99+X₆ ∧ 1 ≤ X₆ ∧ X₂ ≤ X₃
t₆: eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 2 ≤ X₇ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₇ ∧ X₃ ≤ 109+X₆ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ X₂ ≤ 99+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₃+X₆ ∧ 102 ≤ X₃+X₇ ∧ 102 ≤ X₄+X₆ ∧ 102 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆
t₇: eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ 1 ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₇ ∧ X₃ ≤ 109+X₆ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ X₂ ≤ 99+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₃+X₆ ∧ 102 ≤ X₃+X₇ ∧ 102 ≤ X₄+X₆ ∧ 102 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆
t₈: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄-10, X₅, X₆, X₇-1, X₈) :|: X₇ ≤ 2 ∧ 2 ≤ X₇ ∧ 111 ≤ X₄ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 4 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆
t₉: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb5_in(X₄-10, X₇-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ 110 ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 4 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆
t₁₁: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb5_in(X₄-10, X₇-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 3 ≤ X₇ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 4 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆
t₁₂: eval_sipma91_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 101 ≤ X₀ ∧ X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₀+X₂ ≤ 201 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₁ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₂ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₂ ≤ 99+X₁ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₃ ≤ 20+X₀ ∧ X₄ ≤ 10+X₀ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 9+X₀ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 4 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 91 ≤ X₀ ∧ 92 ≤ X₀+X₁ ∧ 93 ≤ X₀+X₆ ∧ 93 ≤ X₀+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₁+X₃ ∧ 102 ≤ X₁+X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 192 ≤ X₀+X₃ ∧ 192 ≤ X₀+X₄ ∧ 202 ≤ X₃+X₄ ∧ X₀ ≤ X₃ ∧ X₇ ≤ X₆
t₁₃: eval_sipma91_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₀, X₆, X₇, X₁) :|: X₀ ≤ 100 ∧ X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₀+X₂ ≤ 201 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₁ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₂ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₂ ≤ 99+X₁ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₃ ≤ 20+X₀ ∧ X₄ ≤ 10+X₀ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 9+X₀ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 4 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 91 ≤ X₀ ∧ 92 ≤ X₀+X₁ ∧ 93 ≤ X₀+X₆ ∧ 93 ≤ X₀+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₁+X₃ ∧ 102 ≤ X₁+X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 192 ≤ X₀+X₃ ∧ 192 ≤ X₀+X₄ ∧ 202 ≤ X₃+X₄ ∧ X₀ ≤ X₃ ∧ X₇ ≤ X₆
t₁₄: eval_sipma91_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₀-10, X₆, X₇, X₁-1) :|: X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₀+X₂ ≤ 201 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₁ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 108+X₆ ∧ X₃ ≤ 108+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₂ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₁ ∧ X₂ ≤ 97+X₆ ∧ X₂ ≤ 97+X₇ ∧ X₃ ≤ 10+X₀ ∧ X₄ ≤ 10+X₀ ∧ X₄ ≤ 10+X₃ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₀ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 3 ≤ X₆ ∧ 3 ≤ X₇ ∧ 5 ≤ X₁+X₆ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 11+X₂ ≤ X₄ ∧ 101 ≤ X₀ ∧ 101 ≤ X₃ ∧ 103 ≤ X₀+X₁ ∧ 103 ≤ X₁+X₃ ∧ 104 ≤ X₀+X₆ ∧ 104 ≤ X₀+X₇ ∧ 104 ≤ X₃+X₆ ∧ 104 ≤ X₃+X₇ ∧ 111 ≤ X₄ ∧ 113 ≤ X₁+X₄ ∧ 114 ≤ X₄+X₆ ∧ 114 ≤ X₄+X₇ ∧ 202 ≤ X₀+X₃ ∧ 212 ≤ X₀+X₄ ∧ 212 ≤ X₃+X₄ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₇ ≤ X₆
t₁₅: eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, 11+X₅, X₅, X₆, 1+X₈, X₈) :|: X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃+X₅ ≤ 211 ∧ X₄+X₅ ≤ 210 ∧ X₀+X₂ ≤ 201 ∧ X₀+X₅ ≤ 200 ∧ X₂+X₅ ≤ 200 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₁ ∧ X₃ ≤ 110+X₈ ∧ X₄ ≤ 110+X₈ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₀ ≤ 100+X₈ ∧ X₂ ≤ 100 ∧ X₅ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₂ ≤ 99+X₁ ∧ X₅ ≤ 99+X₁ ∧ X₂ ≤ 99+X₈ ∧ X₅ ≤ 99+X₈ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₅ ≤ 98+X₆ ∧ X₅ ≤ 98+X₇ ∧ X₃ ≤ 20+X₀ ∧ X₃ ≤ 20+X₅ ∧ X₄ ≤ 20+X₅ ∧ X₄ ≤ 10+X₀ ∧ X₀ ≤ 10+X₅ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 9+X₀ ∧ X₂ ≤ 9+X₅ ∧ X₇ ≤ 2+X₈ ∧ X₇ ≤ 1+X₁ ∧ X₁ ≤ 1+X₈ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₈ ≤ X₆ ∧ 1+X₈ ≤ X₇ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₆+X₈ ∧ 3 ≤ X₇+X₈ ∧ 4 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 10+X₅ ≤ X₄ ∧ 91 ≤ X₀ ∧ 91 ≤ X₅ ∧ 92 ≤ X₀+X₁ ∧ 92 ≤ X₀+X₈ ∧ 92 ≤ X₁+X₅ ∧ 92 ≤ X₅+X₈ ∧ 93 ≤ X₀+X₆ ∧ 93 ≤ X₀+X₇ ∧ 93 ≤ X₅+X₆ ∧ 93 ≤ X₅+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₁+X₃ ∧ 102 ≤ X₁+X₄ ∧ 102 ≤ X₃+X₈ ∧ 102 ≤ X₄+X₈ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 182 ≤ X₀+X₅ ∧ 192 ≤ X₀+X₃ ∧ 192 ≤ X₀+X₄ ∧ 192 ≤ X₃+X₅ ∧ 192 ≤ X₄+X₅ ∧ 202 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₈ ≤ X₁ ∧ X₇ ≤ X₆
t₁₆: eval_sipma91_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₀: eval_sipma91_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)

MPRF for transition t₃: eval_sipma91_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ 100 ∧ X₂+X₃ ≤ 211 ∧ X₃ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ 1 ≤ X₆ ∧ X₂ ≤ X₃ of depth 1:

new bound:

X₂+101 {O(n)}

• eval_sipma91_bb1_in: [101-X₃]
• eval_sipma91_bb2_in: [90-X₃]

MPRF for transition t₅: eval_sipma91_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb1_in(X₀, X₁, X₂, 11+X₃, X₄, X₅, 1+X₆, X₇, X₈) :|: X₂+X₃ ≤ 200 ∧ X₂ ≤ 100 ∧ X₃ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ X₃ ≤ 99+X₆ ∧ 1 ≤ X₆ ∧ X₂ ≤ X₃ of depth 1:

new bound:

X₂+111 {O(n)}

• eval_sipma91_bb1_in: [111-X₃]
• eval_sipma91_bb2_in: [101-X₃]

MPRF for transition t₆: eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 2 ≤ X₇ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₇ ∧ X₃ ≤ 109+X₆ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 99+X₆ ∧ X₂ ≤ 99+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₃+X₆ ∧ 102 ≤ X₃+X₇ ∧ 102 ≤ X₄+X₆ ∧ 102 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆ of depth 1:

new bound:

11⋅X₂+1345 {O(n)}

• eval_sipma91_bb3_in: [101+11⋅X₇-X₄]
• eval_sipma91_bb4_in: [100+11⋅X₇-X₄]
• eval_sipma91_bb5_in: [100+11⋅X₇-X₄]
• eval_sipma91_bb6_in: [11⋅X₇-11]
• eval_sipma91_bb7_in: [101+X₁+10⋅X₈-X₅]

MPRF for transition t₈: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, X₄-10, X₅, X₆, X₇-1, X₈) :|: X₇ ≤ 2 ∧ 2 ≤ X₇ ∧ 111 ≤ X₄ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 4 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆ of depth 1:

new bound:

X₂+104 {O(n)}

• eval_sipma91_bb3_in: [X₇-1]
• eval_sipma91_bb4_in: [X₇-1]
• eval_sipma91_bb5_in: [X₇-1]
• eval_sipma91_bb6_in: [X₇-1]
• eval_sipma91_bb7_in: [X₇-1]

MPRF for transition t₉: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb5_in(X₄-10, X₇-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ 110 ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 4 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆ of depth 1:

new bound:

10⋅X₂+1282 {O(n)}

• eval_sipma91_bb3_in: [141+10⋅X₇-X₄]
• eval_sipma91_bb4_in: [141+10⋅X₇-X₄]
• eval_sipma91_bb5_in: [130+10⋅X₇-X₀]
• eval_sipma91_bb6_in: [140⋅X₇-X₀-130⋅X₁]
• eval_sipma91_bb7_in: [140⋅X₇+10⋅X₈-140⋅X₁-X₅]

MPRF for transition t₁₁: eval_sipma91_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb5_in(X₄-10, X₇-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 3 ≤ X₇ ∧ X₃+X₄ ≤ 222 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 109+X₆ ∧ X₄ ≤ 109+X₇ ∧ X₂ ≤ 100 ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 4 ≤ X₆+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 202 ≤ X₃+X₄ ∧ X₇ ≤ X₆ of depth 1:

new bound:

10⋅X₂+1233 {O(n)}

• eval_sipma91_bb3_in: [92+10⋅X₇-X₄]
• eval_sipma91_bb4_in: [92+10⋅X₇-X₄]
• eval_sipma91_bb5_in: [81+10⋅X₇-X₀]
• eval_sipma91_bb6_in: [91⋅X₇-X₀-81⋅X₁]
• eval_sipma91_bb7_in: [91+10⋅X₈-X₅]

MPRF for transition t₁₂: eval_sipma91_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 101 ≤ X₀ ∧ X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₀+X₂ ≤ 201 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₁ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₂ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₂ ≤ 99+X₁ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₃ ≤ 20+X₀ ∧ X₄ ≤ 10+X₀ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 9+X₀ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 4 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 91 ≤ X₀ ∧ 92 ≤ X₀+X₁ ∧ 93 ≤ X₀+X₆ ∧ 93 ≤ X₀+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₁+X₃ ∧ 102 ≤ X₁+X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 192 ≤ X₀+X₃ ∧ 192 ≤ X₀+X₄ ∧ 202 ≤ X₃+X₄ ∧ X₀ ≤ X₃ ∧ X₇ ≤ X₆ of depth 1:

new bound:

X₂+105 {O(n)}

• eval_sipma91_bb3_in: [X₇-2]
• eval_sipma91_bb4_in: [X₇-2]
• eval_sipma91_bb5_in: [X₁-1]
• eval_sipma91_bb6_in: [X₇-3]
• eval_sipma91_bb7_in: [X₈-1]

MPRF for transition t₁₃: eval_sipma91_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₀, X₆, X₇, X₁) :|: X₀ ≤ 100 ∧ X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₀+X₂ ≤ 201 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₁ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₂ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₂ ≤ 99+X₁ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₃ ≤ 20+X₀ ∧ X₄ ≤ 10+X₀ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 9+X₀ ∧ X₇ ≤ 1+X₁ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 4 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 91 ≤ X₀ ∧ 92 ≤ X₀+X₁ ∧ 93 ≤ X₀+X₆ ∧ 93 ≤ X₀+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₁+X₃ ∧ 102 ≤ X₁+X₄ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 192 ≤ X₀+X₃ ∧ 192 ≤ X₀+X₄ ∧ 202 ≤ X₃+X₄ ∧ X₀ ≤ X₃ ∧ X₇ ≤ X₆ of depth 1:

new bound:

10⋅X₂+3775 {O(n)}

• eval_sipma91_bb3_in: [1413+10⋅X₇-11⋅X₃-X₄]
• eval_sipma91_bb4_in: [1413+10⋅X₇-11⋅X₃-X₄]
• eval_sipma91_bb5_in: [1413+10⋅X₇-11⋅X₃-X₄]
• eval_sipma91_bb6_in: [1422+9⋅X₁+X₇-11⋅X₃-X₄]
• eval_sipma91_bb7_in: [1421+X₀+X₇+9⋅X₈-11⋅X₃-X₄-X₅]

MPRF for transition t₁₄: eval_sipma91_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₀-10, X₆, X₇, X₁-1) :|: X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₀+X₂ ≤ 201 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 109+X₁ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 108+X₆ ∧ X₃ ≤ 108+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₂ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₁ ∧ X₂ ≤ 97+X₆ ∧ X₂ ≤ 97+X₇ ∧ X₃ ≤ 10+X₀ ∧ X₄ ≤ 10+X₀ ∧ X₄ ≤ 10+X₃ ∧ X₇ ≤ 1+X₁ ∧ 1+X₂ ≤ X₀ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 3 ≤ X₆ ∧ 3 ≤ X₇ ∧ 5 ≤ X₁+X₆ ∧ 5 ≤ X₁+X₇ ∧ 6 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 11+X₂ ≤ X₄ ∧ 101 ≤ X₀ ∧ 101 ≤ X₃ ∧ 103 ≤ X₀+X₁ ∧ 103 ≤ X₁+X₃ ∧ 104 ≤ X₀+X₆ ∧ 104 ≤ X₀+X₇ ∧ 104 ≤ X₃+X₆ ∧ 104 ≤ X₃+X₇ ∧ 111 ≤ X₄ ∧ 113 ≤ X₁+X₄ ∧ 114 ≤ X₄+X₆ ∧ 114 ≤ X₄+X₇ ∧ 202 ≤ X₀+X₃ ∧ 212 ≤ X₀+X₄ ∧ 212 ≤ X₃+X₄ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₇ ≤ X₆ of depth 1:

new bound:

X₂+111 {O(n)}

• eval_sipma91_bb3_in: [8+X₇]
• eval_sipma91_bb4_in: [8+X₇]
• eval_sipma91_bb5_in: [8+X₇]
• eval_sipma91_bb6_in: [9+X₁]
• eval_sipma91_bb7_in: [9+X₈]

MPRF for transition t₁₅: eval_sipma91_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_sipma91_bb3_in(X₀, X₁, X₂, X₃, 11+X₅, X₅, X₆, 1+X₈, X₈) :|: X₃+X₄ ≤ 222 ∧ X₀+X₃ ≤ 212 ∧ X₀+X₄ ≤ 212 ∧ X₂+X₃ ≤ 211 ∧ X₂+X₄ ≤ 211 ∧ X₃+X₅ ≤ 211 ∧ X₄+X₅ ≤ 210 ∧ X₀+X₂ ≤ 201 ∧ X₀+X₅ ≤ 200 ∧ X₂+X₅ ≤ 200 ∧ X₃ ≤ 111 ∧ X₄ ≤ 111 ∧ X₃ ≤ 110+X₁ ∧ X₃ ≤ 110+X₈ ∧ X₄ ≤ 110+X₈ ∧ X₄ ≤ 109+X₁ ∧ X₃ ≤ 109+X₆ ∧ X₃ ≤ 109+X₇ ∧ X₄ ≤ 108+X₆ ∧ X₄ ≤ 108+X₇ ∧ X₀ ≤ 101 ∧ X₀ ≤ 100+X₈ ∧ X₂ ≤ 100 ∧ X₅ ≤ 100 ∧ X₀ ≤ 99+X₁ ∧ X₂ ≤ 99+X₁ ∧ X₅ ≤ 99+X₁ ∧ X₂ ≤ 99+X₈ ∧ X₅ ≤ 99+X₈ ∧ X₀ ≤ 98+X₆ ∧ X₀ ≤ 98+X₇ ∧ X₂ ≤ 98+X₆ ∧ X₂ ≤ 98+X₇ ∧ X₅ ≤ 98+X₆ ∧ X₅ ≤ 98+X₇ ∧ X₃ ≤ 20+X₀ ∧ X₃ ≤ 20+X₅ ∧ X₄ ≤ 20+X₅ ∧ X₄ ≤ 10+X₀ ∧ X₀ ≤ 10+X₅ ∧ X₄ ≤ 10+X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 9+X₀ ∧ X₂ ≤ 9+X₅ ∧ X₇ ≤ 2+X₈ ∧ X₇ ≤ 1+X₁ ∧ X₁ ≤ 1+X₈ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₆ ∧ 1+X₁ ≤ X₇ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₈ ≤ X₆ ∧ 1+X₈ ≤ X₇ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₆ ∧ 2 ≤ X₇ ∧ 3 ≤ X₁+X₆ ∧ 3 ≤ X₁+X₇ ∧ 3 ≤ X₆+X₈ ∧ 3 ≤ X₇+X₈ ∧ 4 ≤ X₆+X₇ ∧ 10+X₀ ≤ X₄ ∧ 10+X₅ ≤ X₄ ∧ 91 ≤ X₀ ∧ 91 ≤ X₅ ∧ 92 ≤ X₀+X₁ ∧ 92 ≤ X₀+X₈ ∧ 92 ≤ X₁+X₅ ∧ 92 ≤ X₅+X₈ ∧ 93 ≤ X₀+X₆ ∧ 93 ≤ X₀+X₇ ∧ 93 ≤ X₅+X₆ ∧ 93 ≤ X₅+X₇ ∧ 101 ≤ X₃ ∧ 101 ≤ X₄ ∧ 102 ≤ X₁+X₃ ∧ 102 ≤ X₁+X₄ ∧ 102 ≤ X₃+X₈ ∧ 102 ≤ X₄+X₈ ∧ 103 ≤ X₃+X₆ ∧ 103 ≤ X₃+X₇ ∧ 103 ≤ X₄+X₆ ∧ 103 ≤ X₄+X₇ ∧ 182 ≤ X₀+X₅ ∧ 192 ≤ X₀+X₃ ∧ 192 ≤ X₀+X₄ ∧ 192 ≤ X₃+X₅ ∧ 192 ≤ X₄+X₅ ∧ 202 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₈ ≤ X₁ ∧ X₇ ≤ X₆ of depth 1:

new bound:

10⋅X₂+1252 {O(n)}

• eval_sipma91_bb3_in: [111+10⋅X₇-X₄]
• eval_sipma91_bb4_in: [111+10⋅X₇-X₄]
• eval_sipma91_bb5_in: [111+10⋅X₇-X₄]
• eval_sipma91_bb6_in: [111+10⋅X₇-X₄]
• eval_sipma91_bb7_in: [111+10⋅X₈-X₅]

All Bounds

Timebounds

Overall timebound:56⋅X₂+9425 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₂+101 {O(n)}
t₄: 1 {O(1)}
t₅: X₂+111 {O(n)}
t₆: 11⋅X₂+1345 {O(n)}
t₇: 1 {O(1)}
t₈: X₂+104 {O(n)}
t₉: 10⋅X₂+1282 {O(n)}
t₁₁: 10⋅X₂+1233 {O(n)}
t₁₂: X₂+105 {O(n)}
t₁₃: 10⋅X₂+3775 {O(n)}
t₁₄: X₂+111 {O(n)}
t₁₅: 10⋅X₂+1252 {O(n)}
t₁₆: 1 {O(1)}

Costbounds

Overall costbound: 56⋅X₂+9425 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₂+101 {O(n)}
t₄: 1 {O(1)}
t₅: X₂+111 {O(n)}
t₆: 11⋅X₂+1345 {O(n)}
t₇: 1 {O(1)}
t₈: X₂+104 {O(n)}
t₉: 10⋅X₂+1282 {O(n)}
t₁₁: 10⋅X₂+1233 {O(n)}
t₁₂: X₂+105 {O(n)}
t₁₃: 10⋅X₂+3775 {O(n)}
t₁₄: X₂+111 {O(n)}
t₁₅: 10⋅X₂+1252 {O(n)}
t₁₆: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₀, X₈: X₈ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₂ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: 1 {O(1)}
t₂, X₇: X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: 12⋅X₂+1122 {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₂+103 {O(n)}
t₃, X₇: X₇ {O(n)}
t₃, X₈: X₈ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: 111 {O(1)}
t₄, X₄: 111 {O(1)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₂+103 {O(n)}
t₄, X₇: X₂+103 {O(n)}
t₄, X₈: X₈ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: 12⋅X₂+1001 {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₂+103 {O(n)}
t₅, X₇: X₇ {O(n)}
t₅, X₈: X₈ {O(n)}
t₆, X₀: X₀+101 {O(n)}
t₆, X₁: 3⋅X₂+X₁+309 {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: 111 {O(1)}
t₆, X₄: 111 {O(1)}
t₆, X₅: X₅+100 {O(n)}
t₆, X₆: X₂+103 {O(n)}
t₆, X₇: X₂+103 {O(n)}
t₆, X₈: 3⋅X₂+X₈+309 {O(n)}
t₇, X₀: 2⋅X₀+101 {O(n)}
t₇, X₁: 2⋅X₁+3⋅X₂+309 {O(n)}
t₇, X₂: 2⋅X₂ {O(n)}
t₇, X₃: 111 {O(1)}
t₇, X₄: 110 {O(1)}
t₇, X₅: 2⋅X₅+100 {O(n)}
t₇, X₆: 2⋅X₂+206 {O(n)}
t₇, X₇: 1 {O(1)}
t₇, X₈: 2⋅X₈+3⋅X₂+309 {O(n)}
t₈, X₀: X₀+101 {O(n)}
t₈, X₁: 3⋅X₂+X₁+309 {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: 111 {O(1)}
t₈, X₄: 101 {O(1)}
t₈, X₅: X₅+100 {O(n)}
t₈, X₆: X₂+103 {O(n)}
t₈, X₇: 1 {O(1)}
t₈, X₈: 3⋅X₂+X₈+309 {O(n)}
t₉, X₀: 100 {O(1)}
t₉, X₁: X₂+103 {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: 111 {O(1)}
t₉, X₄: 110 {O(1)}
t₉, X₅: X₅+100 {O(n)}
t₉, X₆: X₂+103 {O(n)}
t₉, X₇: X₂+103 {O(n)}
t₉, X₈: 3⋅X₂+X₈+309 {O(n)}
t₁₁, X₀: 101 {O(1)}
t₁₁, X₁: X₂+103 {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: 111 {O(1)}
t₁₁, X₄: 111 {O(1)}
t₁₁, X₅: X₅+100 {O(n)}
t₁₁, X₆: X₂+103 {O(n)}
t₁₁, X₇: X₂+103 {O(n)}
t₁₁, X₈: 3⋅X₂+X₈+309 {O(n)}
t₁₂, X₀: 101 {O(1)}
t₁₂, X₁: X₂+103 {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: 111 {O(1)}
t₁₂, X₄: 111 {O(1)}
t₁₂, X₅: X₅+100 {O(n)}
t₁₂, X₆: X₂+103 {O(n)}
t₁₂, X₇: X₂+103 {O(n)}
t₁₂, X₈: 3⋅X₂+X₈+309 {O(n)}
t₁₃, X₀: 100 {O(1)}
t₁₃, X₁: 2⋅X₂+206 {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: 111 {O(1)}
t₁₃, X₄: 110 {O(1)}
t₁₃, X₅: 100 {O(1)}
t₁₃, X₆: X₂+103 {O(n)}
t₁₃, X₇: X₂+103 {O(n)}
t₁₃, X₈: 2⋅X₂+206 {O(n)}
t₁₄, X₀: 101 {O(1)}
t₁₄, X₁: X₂+103 {O(n)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: 111 {O(1)}
t₁₄, X₄: 111 {O(1)}
t₁₄, X₅: 91 {O(1)}
t₁₄, X₆: X₂+103 {O(n)}
t₁₄, X₇: X₂+103 {O(n)}
t₁₄, X₈: X₂+103 {O(n)}
t₁₅, X₀: 101 {O(1)}
t₁₅, X₁: 3⋅X₂+309 {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: 111 {O(1)}
t₁₅, X₄: 111 {O(1)}
t₁₅, X₅: 100 {O(1)}
t₁₅, X₆: X₂+103 {O(n)}
t₁₅, X₇: X₂+103 {O(n)}
t₁₅, X₈: 3⋅X₂+309 {O(n)}
t₁₆, X₀: 3⋅X₀+101 {O(n)}
t₁₆, X₁: 3⋅X₁+3⋅X₂+309 {O(n)}
t₁₆, X₂: 3⋅X₂ {O(n)}
t₁₆, X₃: X₃+111 {O(n)}
t₁₆, X₄: X₄+110 {O(n)}
t₁₆, X₅: 3⋅X₅+100 {O(n)}
t₁₆, X₆: 2⋅X₂+X₆+206 {O(n)}
t₁₆, X₇: X₇+1 {O(n)}
t₁₆, X₈: 3⋅X₂+3⋅X₈+309 {O(n)}