Initial Problem

Start: eval_complex_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: eval_complex_0, eval_complex_1, eval_complex_15, eval_complex_16, eval_complex_17, eval_complex_18, eval_complex_2, eval_complex_3, eval_complex_4, eval_complex_5, eval_complex_6, eval_complex_bb0_in, eval_complex_bb1_in, eval_complex_bb2_in, eval_complex_bb3_in, eval_complex_bb4_in, eval_complex_bb5_in, eval_complex_start, eval_complex_stop
Transitions:
t₂: eval_complex_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₃: eval_complex_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₀: eval_complex_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₁: eval_complex_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_17(X₀, X₁, X₂, X₃, X₃-10, X₅, X₆, X₇)
t₂₂: eval_complex_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₃: eval_complex_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb1_in(X₅, X₄, X₂, X₃, X₄, X₅, X₆, X₇)
t₄: eval_complex_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₅: eval_complex_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₆: eval_complex_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₇: eval_complex_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₈: eval_complex_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb1_in(X₆, X₇, X₂, X₃, X₄, X₅, X₆, X₇)
t₁: eval_complex_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₉: eval_complex_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇) :|: X₀ ≤ 29
t₁₀: eval_complex_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 30 ≤ X₀
t₁₁: eval_complex_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₂
t₁₂: eval_complex_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₃
t₁₃: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 10+X₂, 7+X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 5 ∧ 3 ≤ X₃ ∧ 6 ≤ X₃
t₁₄: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 7+X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 2 ∧ 6 ≤ X₃
t₁₅: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 7+X₃, X₄, X₅, X₆, X₇) :|: 6 ≤ X₃
t₁₆: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 10+X₂, 2+X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 10 ∧ X₃ ≤ 5 ∧ 8 ≤ X₃
t₁₇: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 2+X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 7 ∧ X₃ ≤ 5
t₁₈: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 2+X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 5 ∧ 11 ≤ X₃
t₁₉: eval_complex_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_15(X₀, X₁, X₂, X₃, X₄, 2+X₂, X₆, X₇)
t₂₄: eval_complex_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₀: eval_complex_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

Preprocessing

Cut unsatisfiable transition [t₁₃: eval_complex_bb3_in→eval_complex_bb2_in; t₁₄: eval_complex_bb3_in→eval_complex_bb2_in; t₁₆: eval_complex_bb3_in→eval_complex_bb2_in; t₁₈: eval_complex_bb3_in→eval_complex_bb2_in]

Found invariant X₆ ≤ 29 ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 58 ∧ X₅ ≤ 2+X₃ ∧ X₅ ≤ 2+X₂ ∧ 2+X₂ ≤ X₅ ∧ 2+X₀ ≤ X₅ ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 29 for location eval_complex_16

Found invariant X₆ ≤ X₀ ∧ 30 ≤ X₀ for location eval_complex_stop

Found invariant X₆ ≤ 29 ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 58 ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 29 for location eval_complex_bb4_in

Found invariant X₆ ≤ 29 ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ 10+X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 58 ∧ X₅ ≤ 12+X₄ ∧ X₅ ≤ 2+X₃ ∧ X₅ ≤ 2+X₂ ∧ 2+X₂ ≤ X₅ ∧ 2+X₀ ≤ X₅ ∧ 10+X₄ ≤ X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 10+X₄ ∧ X₁ ≤ 10+X₄ ∧ X₀ ≤ 10+X₄ ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 29 for location eval_complex_17

Found invariant X₆ ≤ X₀ for location eval_complex_bb1_in

Found invariant X₆ ≤ 29 ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 58 ∧ X₁ ≤ X₃ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 29 for location eval_complex_bb2_in

Found invariant X₆ ≤ 29 ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 58 ∧ X₅ ≤ 2+X₃ ∧ X₅ ≤ 2+X₂ ∧ 2+X₂ ≤ X₅ ∧ 2+X₀ ≤ X₅ ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 29 for location eval_complex_15

Found invariant X₆ ≤ X₀ ∧ 30 ≤ X₀ for location eval_complex_bb5_in

Found invariant X₆ ≤ 29 ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 58 ∧ 1+X₃ ≤ X₂ ∧ X₁ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 29 for location eval_complex_bb3_in

Found invariant X₆ ≤ 29 ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ 10+X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀+X₆ ≤ 58 ∧ X₅ ≤ 12+X₄ ∧ X₅ ≤ 2+X₃ ∧ X₅ ≤ 2+X₂ ∧ 2+X₂ ≤ X₅ ∧ 2+X₀ ≤ X₅ ∧ 10+X₄ ≤ X₃ ∧ X₃ ≤ 10+X₄ ∧ X₂ ≤ 10+X₄ ∧ X₁ ≤ 10+X₄ ∧ X₀ ≤ 10+X₄ ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 29 for location eval_complex_18

Problem after Preprocessing

Start: eval_complex_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: eval_complex_0, eval_complex_1, eval_complex_15, eval_complex_16, eval_complex_17, eval_complex_18, eval_complex_2, eval_complex_3, eval_complex_4, eval_complex_5, eval_complex_6, eval_complex_bb0_in, eval_complex_bb1_in, eval_complex_bb2_in, eval_complex_bb3_in, eval_complex_bb4_in, eval_complex_bb5_in, eval_complex_start, eval_complex_stop
Transitions:
t₂: eval_complex_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₃: eval_complex_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₀: eval_complex_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃
t₂₁: eval_complex_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_17(X₀, X₁, X₂, X₃, X₃-10, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃
t₂₂: eval_complex_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 12+X₄ ∧ X₀ ≤ 10+X₄ ∧ X₁ ≤ 10+X₄ ∧ X₂ ≤ 10+X₄ ∧ X₃ ≤ 10+X₄ ∧ X₆ ≤ 10+X₄ ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ 10+X₄ ≤ X₃ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃
t₂₃: eval_complex_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb1_in(X₅, X₄, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 12+X₄ ∧ X₀ ≤ 10+X₄ ∧ X₁ ≤ 10+X₄ ∧ X₂ ≤ 10+X₄ ∧ X₃ ≤ 10+X₄ ∧ X₆ ≤ 10+X₄ ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ 10+X₄ ≤ X₃ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃
t₄: eval_complex_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₅: eval_complex_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₆: eval_complex_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₇: eval_complex_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₈: eval_complex_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb1_in(X₆, X₇, X₂, X₃, X₄, X₅, X₆, X₇)
t₁: eval_complex_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₉: eval_complex_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇) :|: X₀ ≤ 29 ∧ X₆ ≤ X₀
t₁₀: eval_complex_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 30 ≤ X₀ ∧ X₆ ≤ X₀
t₁₁: eval_complex_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₂ ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂
t₁₂: eval_complex_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₃ ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂
t₁₅: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 7+X₃, X₄, X₅, X₆, X₇) :|: 6 ≤ X₃ ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ 1+X₁ ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂
t₁₇: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 2+X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 7 ∧ X₃ ≤ 5 ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ 1+X₁ ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂
t₁₉: eval_complex_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_15(X₀, X₁, X₂, X₃, X₄, 2+X₂, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃
t₂₄: eval_complex_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 30 ≤ X₀ ∧ X₆ ≤ X₀
t₀: eval_complex_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

MPRF for transition t₉: eval_complex_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇) :|: X₀ ≤ 29 ∧ X₆ ≤ X₀ of depth 1:

new bound:

X₆+30 {O(n)}

• eval_complex_15: [29-X₀]
• eval_complex_16: [31-X₅]
• eval_complex_17: [31-X₅]
• eval_complex_18: [31-X₅]
• eval_complex_bb1_in: [30-X₀]
• eval_complex_bb2_in: [29-X₀]
• eval_complex_bb3_in: [29-X₀]
• eval_complex_bb4_in: [29-X₀]

MPRF for transition t₁₁: eval_complex_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₃ ≤ X₂ ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ of depth 1:

new bound:

5⋅X₆+X₇+174 {O(n)}

• eval_complex_15: [174-5⋅X₂-X₃]
• eval_complex_16: [174-5⋅X₂-X₃]
• eval_complex_17: [174-5⋅X₂-X₃]
• eval_complex_18: [174-5⋅X₂-X₃]
• eval_complex_bb1_in: [174-5⋅X₀-X₁]
• eval_complex_bb2_in: [174+X₂-6⋅X₀-X₃]
• eval_complex_bb3_in: [173+X₂-6⋅X₀-X₃]
• eval_complex_bb4_in: [174-5⋅X₂-X₃]

MPRF for transition t₁₂: eval_complex_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₃ ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ of depth 1:

new bound:

X₆+30 {O(n)}

• eval_complex_15: [29-X₀]
• eval_complex_16: [29-X₀]
• eval_complex_17: [29-X₀]
• eval_complex_18: [31+X₂-X₀-X₅]
• eval_complex_bb1_in: [30-X₀]
• eval_complex_bb2_in: [30-X₀]
• eval_complex_bb3_in: [30-X₀]
• eval_complex_bb4_in: [29-X₀]

MPRF for transition t₁₅: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 7+X₃, X₄, X₅, X₆, X₇) :|: 6 ≤ X₃ ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ 1+X₁ ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ of depth 1:

new bound:

5⋅X₆+X₇+175 {O(n)}

• eval_complex_15: [175+X₂-6⋅X₀-X₃]
• eval_complex_16: [175+X₂-6⋅X₀-X₃]
• eval_complex_17: [175+X₂-6⋅X₀-X₃]
• eval_complex_18: [175+X₂-6⋅X₀-X₃]
• eval_complex_bb1_in: [175-5⋅X₀-X₁]
• eval_complex_bb2_in: [175+X₂-6⋅X₀-X₃]
• eval_complex_bb3_in: [174+X₂-6⋅X₀-X₃]
• eval_complex_bb4_in: [175+X₂-6⋅X₀-X₃]

MPRF for transition t₁₇: eval_complex_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb2_in(X₀, X₁, 1+X₂, 2+X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 7 ∧ X₃ ≤ 5 ∧ X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ 1+X₁ ≤ X₂ ∧ 1+X₃ ≤ X₂ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ of depth 1:

new bound:

5⋅X₆+X₇+152 {O(n)}

• eval_complex_15: [162-X₃-5⋅X₅]
• eval_complex_16: [162-X₃-5⋅X₅]
• eval_complex_17: [162-X₃-5⋅X₅]
• eval_complex_18: [162-X₃-5⋅X₅]
• eval_complex_bb1_in: [152-5⋅X₀-X₁]
• eval_complex_bb2_in: [152-5⋅X₀-X₃]
• eval_complex_bb3_in: [151-5⋅X₀-X₃]
• eval_complex_bb4_in: [152-5⋅X₀-X₃]

MPRF for transition t₁₉: eval_complex_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_15(X₀, X₁, X₂, X₃, X₄, 2+X₂, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:

new bound:

X₆+30 {O(n)}

• eval_complex_15: [29-X₂]
• eval_complex_16: [31-X₅]
• eval_complex_17: [31-X₅]
• eval_complex_18: [30-X₅]
• eval_complex_bb1_in: [30-X₀]
• eval_complex_bb2_in: [30-X₀]
• eval_complex_bb3_in: [30-X₀]
• eval_complex_bb4_in: [30-X₀]

MPRF for transition t₂₀: eval_complex_15(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:

new bound:

X₆+30 {O(n)}

• eval_complex_15: [30-X₀]
• eval_complex_16: [28-X₀]
• eval_complex_17: [30-X₅]
• eval_complex_18: [30-X₅]
• eval_complex_bb1_in: [30-X₀]
• eval_complex_bb2_in: [30-X₀]
• eval_complex_bb3_in: [30-X₀]
• eval_complex_bb4_in: [30-X₀]

MPRF for transition t₂₁: eval_complex_16(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_17(X₀, X₁, X₂, X₃, X₃-10, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:

new bound:

2⋅X₆+59 {O(n)}

• eval_complex_15: [1+29⋅X₅-X₀-29⋅X₂-X₆]
• eval_complex_16: [59-X₀-X₆]
• eval_complex_17: [57-X₀-X₆]
• eval_complex_18: [59+X₂-X₀-X₅-X₆]
• eval_complex_bb1_in: [59-X₀-X₆]
• eval_complex_bb2_in: [59-X₀-X₆]
• eval_complex_bb3_in: [59-X₀-X₆]
• eval_complex_bb4_in: [59-X₀-X₆]

MPRF for transition t₂₂: eval_complex_17(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 12+X₄ ∧ X₀ ≤ 10+X₄ ∧ X₁ ≤ 10+X₄ ∧ X₂ ≤ 10+X₄ ∧ X₃ ≤ 10+X₄ ∧ X₆ ≤ 10+X₄ ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ 10+X₄ ≤ X₃ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:

new bound:

X₆+31 {O(n)}

• eval_complex_15: [31-X₀]
• eval_complex_16: [31-X₀]
• eval_complex_17: [30-X₀]
• eval_complex_18: [29-X₀]
• eval_complex_bb1_in: [31-X₀]
• eval_complex_bb2_in: [31-X₀]
• eval_complex_bb3_in: [31-X₀]
• eval_complex_bb4_in: [31-X₀]

MPRF for transition t₂₃: eval_complex_18(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_complex_bb1_in(X₅, X₄, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀+X₆ ≤ 58 ∧ X₀ ≤ 29 ∧ X₆ ≤ 29 ∧ X₅ ≤ 12+X₄ ∧ X₀ ≤ 10+X₄ ∧ X₁ ≤ 10+X₄ ∧ X₂ ≤ 10+X₄ ∧ X₃ ≤ 10+X₄ ∧ X₆ ≤ 10+X₄ ∧ X₅ ≤ 2+X₂ ∧ X₅ ≤ 2+X₃ ∧ 2+X₀ ≤ X₅ ∧ 2+X₂ ≤ X₅ ∧ 2+X₆ ≤ X₅ ∧ 10+X₄ ≤ X₃ ∧ X₆ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₆ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₆ ≤ X₃ of depth 1:

new bound:

X₆+31 {O(n)}

• eval_complex_15: [30-X₀]
• eval_complex_16: [30-X₀]
• eval_complex_17: [30-X₀]
• eval_complex_18: [30-X₀]
• eval_complex_bb1_in: [31-X₀]
• eval_complex_bb2_in: [31-X₀]
• eval_complex_bb3_in: [31-X₀]
• eval_complex_bb4_in: [30-X₀]

All Bounds

Timebounds

Overall timebound:23⋅X₆+3⋅X₇+753 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: X₆+30 {O(n)}
t₁₀: 1 {O(1)}
t₁₁: 5⋅X₆+X₇+174 {O(n)}
t₁₂: X₆+30 {O(n)}
t₁₅: 5⋅X₆+X₇+175 {O(n)}
t₁₇: 5⋅X₆+X₇+152 {O(n)}
t₁₉: X₆+30 {O(n)}
t₂₀: X₆+30 {O(n)}
t₂₁: 2⋅X₆+59 {O(n)}
t₂₂: X₆+31 {O(n)}
t₂₃: X₆+31 {O(n)}
t₂₄: 1 {O(1)}

Costbounds

Overall costbound: 23⋅X₆+3⋅X₇+753 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: X₆+30 {O(n)}
t₁₀: 1 {O(1)}
t₁₁: 5⋅X₆+X₇+174 {O(n)}
t₁₂: X₆+30 {O(n)}
t₁₅: 5⋅X₆+X₇+175 {O(n)}
t₁₇: 5⋅X₆+X₇+152 {O(n)}
t₁₉: X₆+30 {O(n)}
t₂₀: X₆+30 {O(n)}
t₂₁: 2⋅X₆+59 {O(n)}
t₂₂: X₆+31 {O(n)}
t₂₃: X₆+31 {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)}
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)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₃, X₇: X₇ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₄, X₇: X₇ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}
t₅, X₇: X₇ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₆, X₇: X₇ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₇, X₇: X₇ {O(n)}
t₈, X₀: X₆ {O(n)}
t₈, X₁: X₇ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₈, X₇: X₇ {O(n)}
t₉, X₀: 14⋅X₆+2⋅X₇+387 {O(n)}
t₉, X₁: 11⋅X₇+65⋅X₆+2119 {O(n)}
t₉, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₉, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₉, X₄: 10⋅X₇+65⋅X₆+X₄+2119 {O(n)}
t₉, X₅: 13⋅X₆+2⋅X₇+X₅+387 {O(n)}
t₉, X₆: X₆ {O(n)}
t₉, X₇: X₇ {O(n)}
t₁₀, X₀: 14⋅X₆+2⋅X₇+387 {O(n)}
t₁₀, X₁: 11⋅X₇+65⋅X₆+2119 {O(n)}
t₁₀, X₂: 13⋅X₆+2⋅X₇+X₂+387 {O(n)}
t₁₀, X₃: 10⋅X₇+65⋅X₆+X₃+2119 {O(n)}
t₁₀, X₄: 10⋅X₇+65⋅X₆+X₄+2119 {O(n)}
t₁₀, X₅: 13⋅X₆+2⋅X₇+X₅+387 {O(n)}
t₁₀, X₆: 2⋅X₆ {O(n)}
t₁₀, X₇: 2⋅X₇ {O(n)}
t₁₁, X₀: 14⋅X₆+2⋅X₇+387 {O(n)}
t₁₁, X₁: 11⋅X₇+65⋅X₆+2119 {O(n)}
t₁₁, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₁₁, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₁₁, X₄: 10⋅X₇+65⋅X₆+X₄+2119 {O(n)}
t₁₁, X₅: 13⋅X₆+2⋅X₇+X₅+387 {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₁, X₇: X₇ {O(n)}
t₁₂, X₀: 42⋅X₆+6⋅X₇+1161 {O(n)}
t₁₂, X₁: 195⋅X₆+33⋅X₇+6357 {O(n)}
t₁₂, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₁₂, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₁₂, X₄: 195⋅X₆+3⋅X₄+30⋅X₇+6357 {O(n)}
t₁₂, X₅: 3⋅X₅+39⋅X₆+6⋅X₇+1161 {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₂, X₇: X₇ {O(n)}
t₁₅, X₀: 14⋅X₆+2⋅X₇+387 {O(n)}
t₁₅, X₁: 11⋅X₇+65⋅X₆+2119 {O(n)}
t₁₅, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₁₅, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₁₅, X₄: 10⋅X₇+65⋅X₆+X₄+2119 {O(n)}
t₁₅, X₅: 13⋅X₆+2⋅X₇+X₅+387 {O(n)}
t₁₅, X₆: X₆ {O(n)}
t₁₅, X₇: X₇ {O(n)}
t₁₇, X₀: 14⋅X₆+2⋅X₇+387 {O(n)}
t₁₇, X₁: 11⋅X₇+65⋅X₆+2119 {O(n)}
t₁₇, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₁₇, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₁₇, X₄: 10⋅X₇+65⋅X₆+X₄+2119 {O(n)}
t₁₇, X₅: 13⋅X₆+2⋅X₇+X₅+387 {O(n)}
t₁₇, X₆: X₆ {O(n)}
t₁₇, X₇: X₇ {O(n)}
t₁₉, X₀: 42⋅X₆+6⋅X₇+1161 {O(n)}
t₁₉, X₁: 195⋅X₆+33⋅X₇+6357 {O(n)}
t₁₉, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₁₉, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₁₉, X₄: 195⋅X₆+3⋅X₄+30⋅X₇+6357 {O(n)}
t₁₉, X₅: 13⋅X₆+2⋅X₇+387 {O(n)}
t₁₉, X₆: X₆ {O(n)}
t₁₉, X₇: X₇ {O(n)}
t₂₀, X₀: 42⋅X₆+6⋅X₇+1161 {O(n)}
t₂₀, X₁: 195⋅X₆+33⋅X₇+6357 {O(n)}
t₂₀, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₀, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₀, X₄: 195⋅X₆+3⋅X₄+30⋅X₇+6357 {O(n)}
t₂₀, X₅: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₀, X₆: X₆ {O(n)}
t₂₀, X₇: X₇ {O(n)}
t₂₁, X₀: 42⋅X₆+6⋅X₇+1161 {O(n)}
t₂₁, X₁: 195⋅X₆+33⋅X₇+6357 {O(n)}
t₂₁, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₁, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₁, X₄: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₁, X₅: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₁, X₆: X₆ {O(n)}
t₂₁, X₇: X₇ {O(n)}
t₂₂, X₀: 42⋅X₆+6⋅X₇+1161 {O(n)}
t₂₂, X₁: 195⋅X₆+33⋅X₇+6357 {O(n)}
t₂₂, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₂, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₂, X₄: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₂, X₅: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₂, X₆: X₆ {O(n)}
t₂₂, X₇: X₇ {O(n)}
t₂₃, X₀: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₃, X₁: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₃, X₂: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₃, X₃: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₃, X₄: 10⋅X₇+65⋅X₆+2119 {O(n)}
t₂₃, X₅: 13⋅X₆+2⋅X₇+387 {O(n)}
t₂₃, X₆: X₆ {O(n)}
t₂₃, X₇: X₇ {O(n)}
t₂₄, X₀: 14⋅X₆+2⋅X₇+387 {O(n)}
t₂₄, X₁: 11⋅X₇+65⋅X₆+2119 {O(n)}
t₂₄, X₂: 13⋅X₆+2⋅X₇+X₂+387 {O(n)}
t₂₄, X₃: 10⋅X₇+65⋅X₆+X₃+2119 {O(n)}
t₂₄, X₄: 10⋅X₇+65⋅X₆+X₄+2119 {O(n)}
t₂₄, X₅: 13⋅X₆+2⋅X₇+X₅+387 {O(n)}
t₂₄, X₆: 2⋅X₆ {O(n)}
t₂₄, X₇: 2⋅X₇ {O(n)}