KoAT2 Proof Output

Initial Problem

Preprocessing

Found invariant X₇ ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₀+X₆ ∧ 16+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_encode_mcu_AC_refine_6

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location eval_encode_mcu_AC_refine_bb5_in

Found invariant X₃ ≤ X₄ for location eval_encode_mcu_AC_refine_bb1_in

Found invariant X₄ ≤ X₂ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₂ for location eval_encode_mcu_AC_refine_bb2_in

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location eval_encode_mcu_AC_refine_bb4_in

Found invariant 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ 1+X₂ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ for location eval_encode_mcu_AC_refine_stop

Found invariant 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ for location eval_encode_mcu_AC_refine_bb3_in

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location eval_encode_mcu_AC_refine_3

Found invariant X₇ ≤ X₆ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ 0 ≤ X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_encode_mcu_AC_refine_bb6_in

Found invariant 0 ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ X₅ ∧ 1+X₂ ≤ X₅ ∧ X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ for location eval_encode_mcu_AC_refine_bb9_in

Found invariant X₈ ≤ 1+X₆ ∧ 0 ≤ X₈ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location eval_encode_mcu_AC_refine_.critedge_in

Found invariant 0 ≤ X₆ ∧ 1+X₅ ≤ X₄ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 1+X₃ ≤ X₄ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₂ for location eval_encode_mcu_AC_refine_2

Problem after Preprocessing

Start: eval_encode_mcu_AC_refine_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef.0, nondef.1
Locations: eval_encode_mcu_AC_refine_.critedge_in, eval_encode_mcu_AC_refine_2, eval_encode_mcu_AC_refine_3, eval_encode_mcu_AC_refine_6, eval_encode_mcu_AC_refine_7, eval_encode_mcu_AC_refine_bb0_in, eval_encode_mcu_AC_refine_bb1_in, eval_encode_mcu_AC_refine_bb2_in, eval_encode_mcu_AC_refine_bb3_in, eval_encode_mcu_AC_refine_bb4_in, eval_encode_mcu_AC_refine_bb5_in, eval_encode_mcu_AC_refine_bb6_in, eval_encode_mcu_AC_refine_bb7_in, eval_encode_mcu_AC_refine_bb8_in, eval_encode_mcu_AC_refine_bb9_in, eval_encode_mcu_AC_refine_start, eval_encode_mcu_AC_refine_stop
Transitions:
t₂₃: eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb3_in(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₈, X₇, X₈) :|: X₈ ≤ 1+X₆ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₈
t₉: eval_encode_mcu_AC_refine_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆
t₁₀: eval_encode_mcu_AC_refine_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆
t₁₁: eval_encode_mcu_AC_refine_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆
t₁₂: eval_encode_mcu_AC_refine_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆
t₁₈: eval_encode_mcu_AC_refine_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_7(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆
t₂₁: eval_encode_mcu_AC_refine_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆
t₁₉: eval_encode_mcu_AC_refine_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₁ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆
t₂₀: eval_encode_mcu_AC_refine_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆
t₁: eval_encode_mcu_AC_refine_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb1_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆, X₇, X₈)
t₂: eval_encode_mcu_AC_refine_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ X₂ ∧ X₃ ≤ X₄
t₃: eval_encode_mcu_AC_refine_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb3_in(X₀, X₁, X₂, X₃, X₄, X₃, 0, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ X₃ ≤ X₄
t₄: eval_encode_mcu_AC_refine_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb1_in(X₀, X₁, X₂, X₃, 1+X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₃ ≤ X₄
t₅: eval_encode_mcu_AC_refine_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₆
t₆: eval_encode_mcu_AC_refine_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₅ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₆
t₇: eval_encode_mcu_AC_refine_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆
t₁₃: eval_encode_mcu_AC_refine_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₆) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆
t₁₅: eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₇ ≤ 15 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₆ ∧ X₀ ≤ X₇ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁₄: eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 16 ≤ X₇ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₆ ∧ X₀ ≤ X₇ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁₆: eval_encode_mcu_AC_refine_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆
t₂₂: eval_encode_mcu_AC_refine_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇-16, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆
t₂₄: eval_encode_mcu_AC_refine_bb9_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₅ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₆
t₀: eval_encode_mcu_AC_refine_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)

MPRF for transition t₂: eval_encode_mcu_AC_refine_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ X₂ ∧ X₃ ≤ X₄ of depth 1:

new bound:

X₂+X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_bb1_in: [1+X₂-X₄]
• eval_encode_mcu_AC_refine_bb2_in: [X₂-X₄]

MPRF for transition t₄: eval_encode_mcu_AC_refine_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb1_in(X₀, X₁, X₂, X₃, 1+X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ X₂ ∧ X₄ ≤ X₂ ∧ X₃ ≤ X₄ of depth 1:

new bound:

X₂+X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_bb1_in: [1+X₂-X₄]
• eval_encode_mcu_AC_refine_bb2_in: [1+X₂-X₄]

MPRF for transition t₅: eval_encode_mcu_AC_refine_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₂ ∧ 1+X₂ ≤ X₄ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_2: [X₂-X₅]
• eval_encode_mcu_AC_refine_3: [X₂-X₅]
• eval_encode_mcu_AC_refine_6: [X₂-X₅]
• eval_encode_mcu_AC_refine_7: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₂-X₅]

MPRF for transition t₇: eval_encode_mcu_AC_refine_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_2: [X₂-X₅]
• eval_encode_mcu_AC_refine_3: [X₂-X₅]
• eval_encode_mcu_AC_refine_6: [X₂-X₅]
• eval_encode_mcu_AC_refine_7: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₂-X₅]

MPRF for transition t₉: eval_encode_mcu_AC_refine_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_3: [X₂-X₅]
• eval_encode_mcu_AC_refine_6: [X₂-X₅]
• eval_encode_mcu_AC_refine_7: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₂-X₅]

MPRF for transition t₁₀: eval_encode_mcu_AC_refine_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:

new bound:

5⋅X₃+X₂+2 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₄-1-X₅]
• eval_encode_mcu_AC_refine_2: [X₄-X₅]
• eval_encode_mcu_AC_refine_3: [X₄-X₅]
• eval_encode_mcu_AC_refine_6: [X₄-1-X₅]
• eval_encode_mcu_AC_refine_7: [X₄-1-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [X₄-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [X₄-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₄-1-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₄-1-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₄-1-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₄-1-X₅]

MPRF for transition t₁₁: eval_encode_mcu_AC_refine_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_6: [X₂-X₅]
• eval_encode_mcu_AC_refine_7: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₂-X₅]

MPRF for transition t₁₂: eval_encode_mcu_AC_refine_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₆, X₈) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:

new bound:

5⋅X₃+X₂+3 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₄-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₄-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₄-X₅]
• eval_encode_mcu_AC_refine_6: [X₄-X₅]
• eval_encode_mcu_AC_refine_7: [X₄-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₄-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₄-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₄-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₄-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₄-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₄-X₅]

MPRF for transition t₁₃: eval_encode_mcu_AC_refine_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 1+X₆) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_6: [X₂-X₅]
• eval_encode_mcu_AC_refine_7: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₂-X₅]

MPRF for transition t₁₄: eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 16 ≤ X₇ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₆ ∧ X₀ ≤ X₇ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ of depth 1:

new bound:

5⋅X₃+X₂+2 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₄+X₈-1-X₅]
• eval_encode_mcu_AC_refine_2: [X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_3: [X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_6: [X₄+X₇-1-X₅]
• eval_encode_mcu_AC_refine_7: [X₄+X₇-1-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₄+X₇-1-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₄+X₇-16-X₅]

MPRF for transition t₁₅: eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: X₇ ≤ 15 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₆ ∧ X₀ ≤ X₇ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_6: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_7: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₂-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [1+X₂-X₅]

MPRF for transition t₁₆: eval_encode_mcu_AC_refine_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆ of depth 1:

new bound:

5⋅X₃+X₂+3 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₄+X₈-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_6: [X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_7: [X₄+X₇-15-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [1+X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [1+X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₄+X₇-15-X₅]

MPRF for transition t₁₈: eval_encode_mcu_AC_refine_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_7(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂+X₈-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_6: [1+X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_7: [X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [1+X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [1+X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₂+X₇-X₅]

MPRF for transition t₁₉: eval_encode_mcu_AC_refine_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₁ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃ {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂+X₈-1-X₅]
• eval_encode_mcu_AC_refine_2: [X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_3: [X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_6: [X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_7: [X₂+X₇-15-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₂+X₇-16-X₅]

MPRF for transition t₂₀: eval_encode_mcu_AC_refine_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆ of depth 1:

new bound:

5⋅X₃+X₂+3 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₄+X₈-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_6: [1+X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_7: [1+X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [1+X₄+X₆-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [1+X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [1+X₄+X₇-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [X₄+X₇-15-X₅]

MPRF for transition t₂₁: eval_encode_mcu_AC_refine_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, 0) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [X₂+X₈-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_6: [1+X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_7: [1+X₂+X₇-X₀-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [1+X₂+X₆-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [1+X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [1+X₂+X₇-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [1+X₂+X₇-X₅]

MPRF for transition t₂₂: eval_encode_mcu_AC_refine_bb8_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇-16, X₈) :|: 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 16 ≤ X₀+X₆ ∧ 16 ≤ X₀+X₇ ∧ 16+X₀ ≤ X₆ ∧ 16+X₀ ≤ X₇ ∧ 16 ≤ X₆ ∧ 16 ≤ X₇ ∧ 32 ≤ X₆+X₇ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ X₇ ≤ X₆ of depth 1:

new bound:

4⋅X₂+4⋅X₃+2 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [2⋅X₂+2⋅X₈-2⋅X₅]
• eval_encode_mcu_AC_refine_2: [2+2⋅X₂+2⋅X₆-2⋅X₅]
• eval_encode_mcu_AC_refine_3: [2+2⋅X₂+2⋅X₆-2⋅X₅]
• eval_encode_mcu_AC_refine_6: [2⋅X₂+X₆+X₇-15-2⋅X₅]
• eval_encode_mcu_AC_refine_7: [2⋅X₂+X₆+X₇-15-2⋅X₅]
• eval_encode_mcu_AC_refine_bb3_in: [2+2⋅X₂+2⋅X₆-2⋅X₅]
• eval_encode_mcu_AC_refine_bb4_in: [2+2⋅X₂+2⋅X₆-2⋅X₅]
• eval_encode_mcu_AC_refine_bb5_in: [2+2⋅X₂+2⋅X₆-2⋅X₅]
• eval_encode_mcu_AC_refine_bb6_in: [2⋅X₂+X₆+X₇-2⋅X₅]
• eval_encode_mcu_AC_refine_bb7_in: [2⋅X₂+X₆+X₇-2⋅X₅]
• eval_encode_mcu_AC_refine_bb8_in: [2⋅X₂+X₆+X₇-15-2⋅X₅]

MPRF for transition t₂₃: eval_encode_mcu_AC_refine_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_encode_mcu_AC_refine_bb3_in(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₈, X₇, X₈) :|: X₈ ≤ 1+X₆ ∧ 1+X₂ ≤ X₄ ∧ 1+X₃ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₅ ≤ X₂ ∧ X₃ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₈ ∧ 0 ≤ X₈ of depth 1:

new bound:

2⋅X₂+2⋅X₃+1 {O(n)}

MPRF:

• eval_encode_mcu_AC_refine_.critedge_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_2: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_3: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_6: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_7: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb3_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb4_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb5_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb6_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb7_in: [1+X₂-X₅]
• eval_encode_mcu_AC_refine_bb8_in: [1+X₂-X₅]

All Bounds

Timebounds

Overall timebound:31⋅X₂+51⋅X₃+31 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂+X₃+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₂+X₃+1 {O(n)}
t₅: 2⋅X₂+2⋅X₃+1 {O(n)}
t₆: 1 {O(1)}
t₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₉: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₀: 5⋅X₃+X₂+2 {O(n)}
t₁₁: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₂: 5⋅X₃+X₂+3 {O(n)}
t₁₃: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₄: 5⋅X₃+X₂+2 {O(n)}
t₁₅: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₆: 5⋅X₃+X₂+3 {O(n)}
t₁₈: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₉: 2⋅X₂+2⋅X₃ {O(n)}
t₂₀: 5⋅X₃+X₂+3 {O(n)}
t₂₁: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₂: 4⋅X₂+4⋅X₃+2 {O(n)}
t₂₃: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₄: 1 {O(1)}

Costbounds

Overall costbound: 31⋅X₂+51⋅X₃+31 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂+X₃+1 {O(n)}
t₃: 1 {O(1)}
t₄: X₂+X₃+1 {O(n)}
t₅: 2⋅X₂+2⋅X₃+1 {O(n)}
t₆: 1 {O(1)}
t₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₉: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₀: 5⋅X₃+X₂+2 {O(n)}
t₁₁: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₂: 5⋅X₃+X₂+3 {O(n)}
t₁₃: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₄: 5⋅X₃+X₂+2 {O(n)}
t₁₅: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₆: 5⋅X₃+X₂+3 {O(n)}
t₁₈: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₉: 2⋅X₂+2⋅X₃ {O(n)}
t₂₀: 5⋅X₃+X₂+3 {O(n)}
t₂₁: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₂: 4⋅X₂+4⋅X₃+2 {O(n)}
t₂₃: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₄: 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: X₃ {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: X₃ {O(n)}
t₂, X₄: 2⋅X₃+X₂+2 {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₃, X₀: 2⋅X₀ {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₃, X₄: 3⋅X₃+X₂+2 {O(n)}
t₃, X₅: 2⋅X₃ {O(n)}
t₃, X₆: 0 {O(1)}
t₃, X₇: 2⋅X₇ {O(n)}
t₃, X₈: 2⋅X₈ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: 2⋅X₃+X₂+2 {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}
t₄, X₈: X₈ {O(n)}
t₅, X₂: 2⋅X₂ {O(n)}
t₅, X₃: 2⋅X₃ {O(n)}
t₅, X₄: 3⋅X₃+X₂+2 {O(n)}
t₅, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₅, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₅, X₇: 2⋅X₂+2⋅X₃+2⋅X₇+16 {O(n)}
t₅, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₆, X₂: 4⋅X₂ {O(n)}
t₆, X₃: 4⋅X₃ {O(n)}
t₆, X₄: 2⋅X₂+6⋅X₃+4 {O(n)}
t₆, X₅: 2⋅X₂+6⋅X₃+1 {O(n)}
t₆, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₆, X₇: 2⋅X₂+2⋅X₃+4⋅X₇+16 {O(n)}
t₆, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₇, X₂: 2⋅X₂ {O(n)}
t₇, X₃: 2⋅X₃ {O(n)}
t₇, X₄: 3⋅X₃+X₂+2 {O(n)}
t₇, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₇, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₇, X₇: 2⋅X₂+2⋅X₃+2⋅X₇+16 {O(n)}
t₇, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₉, X₂: 2⋅X₂ {O(n)}
t₉, X₃: 2⋅X₃ {O(n)}
t₉, X₄: 3⋅X₃+X₂+2 {O(n)}
t₉, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₉, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₉, X₇: 2⋅X₂+2⋅X₃+2⋅X₇+16 {O(n)}
t₉, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₁₀, X₂: 2⋅X₂ {O(n)}
t₁₀, X₃: 2⋅X₃ {O(n)}
t₁₀, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₀, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₀, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₀, X₇: 2⋅X₂+2⋅X₃+2⋅X₇+16 {O(n)}
t₁₀, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₁₁, X₂: 2⋅X₂ {O(n)}
t₁₁, X₃: 2⋅X₃ {O(n)}
t₁₁, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₁, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₁, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₁, X₇: 2⋅X₂+2⋅X₃+2⋅X₇+16 {O(n)}
t₁₁, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₁₂, X₀: 0 {O(1)}
t₁₂, X₂: 2⋅X₂ {O(n)}
t₁₂, X₃: 2⋅X₃ {O(n)}
t₁₂, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₂, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₂, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₂, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₂, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₁₃, X₂: 2⋅X₂ {O(n)}
t₁₃, X₃: 2⋅X₃ {O(n)}
t₁₃, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₃, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₃, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₃, X₇: 2⋅X₂+2⋅X₃+2⋅X₇+16 {O(n)}
t₁₃, X₈: 4⋅X₂+4⋅X₃+4 {O(n)}
t₁₄, X₀: 0 {O(1)}
t₁₄, X₂: 2⋅X₂ {O(n)}
t₁₄, X₃: 2⋅X₃ {O(n)}
t₁₄, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₄, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₄, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₄, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₄, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₁₅, X₀: 0 {O(1)}
t₁₅, X₂: 2⋅X₂ {O(n)}
t₁₅, X₃: 2⋅X₃ {O(n)}
t₁₅, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₅, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₅, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₅, X₇: 15 {O(1)}
t₁₅, X₈: 0 {O(1)}
t₁₆, X₀: 0 {O(1)}
t₁₆, X₂: 2⋅X₂ {O(n)}
t₁₆, X₃: 2⋅X₃ {O(n)}
t₁₆, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₆, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₆, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₆, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₆, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₁₈, X₀: 0 {O(1)}
t₁₈, X₂: 2⋅X₂ {O(n)}
t₁₈, X₃: 2⋅X₃ {O(n)}
t₁₈, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₈, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₈, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₈, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₈, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₁₉, X₀: 0 {O(1)}
t₁₉, X₂: 2⋅X₂ {O(n)}
t₁₉, X₃: 2⋅X₃ {O(n)}
t₁₉, X₄: 3⋅X₃+X₂+2 {O(n)}
t₁₉, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₁₉, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₉, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₁₉, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₂₀, X₀: 0 {O(1)}
t₂₀, X₂: 2⋅X₂ {O(n)}
t₂₀, X₃: 2⋅X₃ {O(n)}
t₂₀, X₄: 3⋅X₃+X₂+2 {O(n)}
t₂₀, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₂₀, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₀, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₀, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₂₁, X₀: 0 {O(1)}
t₂₁, X₁: 0 {O(1)}
t₂₁, X₂: 2⋅X₂ {O(n)}
t₂₁, X₃: 2⋅X₃ {O(n)}
t₂₁, X₄: 3⋅X₃+X₂+2 {O(n)}
t₂₁, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₂₁, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₁, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₁, X₈: 0 {O(1)}
t₂₂, X₀: 0 {O(1)}
t₂₂, X₂: 2⋅X₂ {O(n)}
t₂₂, X₃: 2⋅X₃ {O(n)}
t₂₂, X₄: 3⋅X₃+X₂+2 {O(n)}
t₂₂, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₂₂, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₂, X₇: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₂, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}
t₂₃, X₂: 2⋅X₂ {O(n)}
t₂₃, X₃: 2⋅X₃ {O(n)}
t₂₃, X₄: 3⋅X₃+X₂+2 {O(n)}
t₂₃, X₅: 2⋅X₂+4⋅X₃+1 {O(n)}
t₂₃, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₃, X₇: 2⋅X₂+2⋅X₃+2⋅X₇+16 {O(n)}
t₂₃, X₈: 4⋅X₂+4⋅X₃+4 {O(n)}
t₂₄, X₂: 4⋅X₂ {O(n)}
t₂₄, X₃: 4⋅X₃ {O(n)}
t₂₄, X₄: 2⋅X₂+6⋅X₃+4 {O(n)}
t₂₄, X₅: 2⋅X₂+6⋅X₃+1 {O(n)}
t₂₄, X₆: 2⋅X₂+2⋅X₃+1 {O(n)}
t₂₄, X₇: 2⋅X₂+2⋅X₃+4⋅X₇+16 {O(n)}
t₂₄, X₈: 2⋅X₈+4⋅X₂+4⋅X₃+4 {O(n)}