Initial Problem

Start: eval_non_linear10_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅
Temp_Vars:
Locations: eval_non_linear10_1, eval_non_linear10_2, eval_non_linear10_bb0_in, eval_non_linear10_bb1_in, eval_non_linear10_bb2_in, eval_non_linear10_bb3_in, eval_non_linear10_bb4_in, eval_non_linear10_bb5_in, eval_non_linear10_bb6_in, eval_non_linear10_bb7_in, eval_non_linear10_start, eval_non_linear10_stop
Transitions:
t₆: eval_non_linear10_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)
t₇: eval_non_linear10_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb3_in(X₀, X₅, 2, X₅, X₅, X₅, X₅, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)
t₁: eval_non_linear10_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb1_in(X₉, X₁, X₂, X₃, X₄, X₁₃, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)
t₂: eval_non_linear10_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: 1 ≤ X₅
t₃: eval_non_linear10_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₀, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: X₅ ≤ 0
t₄: eval_non_linear10_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅-1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)
t₁₀: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb1_in(X₆, X₁, X₂, X₃, X₄, X₈, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: 32+2⋅X₃ ≤ (X₂)²+X₄
t₁₁: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb1_in(X₆, X₁, X₂, X₃, X₄, X₈, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: 0 ≤ X₂ ∧ X₂ ≤ 0
t₈: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: (X₂)²+X₄ ≤ 31+2⋅X₃ ∧ 1+X₂ ≤ 0
t₉: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: (X₂)²+X₄ ≤ 31+2⋅X₃ ∧ 1 ≤ X₂
t₁₂: eval_non_linear10_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb3_in(X₀, -3⋅X₁-5⋅X₆, -2⋅X₂, 4+X₃+(X₃)², 4+2⋅(X₃)²+3⋅X₄-4⋅X₃, X₅, 2⋅X₁+3⋅X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)
t₁₃: eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: 1 ≤ X₇
t₁₄: eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) :|: X₇ ≤ 0
t₁₅: eval_non_linear10_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇-1, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)
t₁₆: eval_non_linear10_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)
t₀: eval_non_linear10_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅) → eval_non_linear10_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅)

Preprocessing

Eliminate variables [X₁₀; X₁₁; X₁₂; X₁₄; X₁₅] that do not contribute to the problem

Found invariant X₇ ≤ 0 ∧ X₅+X₇ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_stop

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_1

Found invariant X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb2_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb4_in

Found invariant X₅ ≤ X₁₀ for location eval_non_linear10_bb1_in

Found invariant X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_bb5_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb3_in

Found invariant X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀ for location eval_non_linear10_bb6_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_2

Found invariant X₇ ≤ 0 ∧ X₅+X₇ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_bb7_in

Problem after Preprocessing

Start: eval_non_linear10_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀
Temp_Vars:
Locations: eval_non_linear10_1, eval_non_linear10_2, eval_non_linear10_bb0_in, eval_non_linear10_bb1_in, eval_non_linear10_bb2_in, eval_non_linear10_bb3_in, eval_non_linear10_bb4_in, eval_non_linear10_bb5_in, eval_non_linear10_bb6_in, eval_non_linear10_bb7_in, eval_non_linear10_start, eval_non_linear10_stop
Transitions:
t₃₂: eval_non_linear10_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈
t₃₃: eval_non_linear10_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb3_in(X₀, X₅, 2, X₅, X₅, X₅, X₅, X₇, X₈, X₉, X₁₀) :|: X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈
t₃₄: eval_non_linear10_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb1_in(X₉, X₁, X₂, X₃, X₄, X₁₀, X₆, X₇, X₈, X₉, X₁₀)
t₃₅: eval_non_linear10_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1 ≤ X₅ ∧ X₅ ≤ X₁₀
t₃₆: eval_non_linear10_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₀, X₈, X₉, X₁₀) :|: X₅ ≤ 0 ∧ X₅ ≤ X₁₀
t₃₇: eval_non_linear10_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅-1, X₉, X₁₀) :|: 1 ≤ X₅ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀
t₃₈: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb1_in(X₆, X₁, X₂, X₃, X₄, X₈, X₆, X₇, X₈, X₉, X₁₀) :|: 32+2⋅X₃ ≤ (X₂)²+X₄ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈
t₃₉: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb1_in(X₆, X₁, X₂, X₃, X₄, X₈, X₆, X₇, X₈, X₉, X₁₀) :|: 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈
t₄₀: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: (X₂)²+X₄ ≤ 31+2⋅X₃ ∧ 1+X₂ ≤ 0 ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈
t₄₁: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: (X₂)²+X₄ ≤ 31+2⋅X₃ ∧ 1 ≤ X₂ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈
t₄₂: eval_non_linear10_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb3_in(X₀, -3⋅X₁-5⋅X₆, -2⋅X₂, 4+X₃+(X₃)², 4+2⋅(X₃)²+3⋅X₄-4⋅X₃, X₅, 2⋅X₁+3⋅X₆, X₇, X₈, X₉, X₁₀) :|: X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈
t₄₃: eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1 ≤ X₇ ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀
t₄₄: eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₇ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀
t₄₅: eval_non_linear10_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇-1, X₈, X₉, X₁₀) :|: 1 ≤ X₀ ∧ 1+X₅ ≤ X₀ ∧ 1+X₅ ≤ X₇ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀
t₄₆: eval_non_linear10_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅+X₇ ≤ 0 ∧ X₅ ≤ X₁₀ ∧ X₇ ≤ 0
t₄₇: eval_non_linear10_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀)

MPRF for transition t₃₂: eval_non_linear10_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈ of depth 1:

new bound:

X₁₀ {O(n)}

• eval_non_linear10_1: [1+X₈]
• eval_non_linear10_2: [X₅-1]
• eval_non_linear10_bb1_in: [X₅]
• eval_non_linear10_bb2_in: [X₅]
• eval_non_linear10_bb3_in: [X₈]
• eval_non_linear10_bb4_in: [X₈]

MPRF for transition t₃₃: eval_non_linear10_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb3_in(X₀, X₅, 2, X₅, X₅, X₅, X₅, X₇, X₈, X₉, X₁₀) :|: X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈ of depth 1:

new bound:

X₁₀ {O(n)}

• eval_non_linear10_1: [1+X₈]
• eval_non_linear10_2: [1+X₈]
• eval_non_linear10_bb1_in: [X₅]
• eval_non_linear10_bb2_in: [X₅]
• eval_non_linear10_bb3_in: [X₅-1]
• eval_non_linear10_bb4_in: [X₅-1]

MPRF for transition t₃₅: eval_non_linear10_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) :|: 1 ≤ X₅ ∧ X₅ ≤ X₁₀ of depth 1:

new bound:

X₁₀ {O(n)}

• eval_non_linear10_1: [X₈]
• eval_non_linear10_2: [X₈]
• eval_non_linear10_bb1_in: [X₅]
• eval_non_linear10_bb2_in: [X₅-1]
• eval_non_linear10_bb3_in: [X₈]
• eval_non_linear10_bb4_in: [X₈]

MPRF for transition t₃₇: eval_non_linear10_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₅-1, X₉, X₁₀) :|: 1 ≤ X₅ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ of depth 1:

new bound:

X₁₀ {O(n)}

• eval_non_linear10_1: [X₅-1]
• eval_non_linear10_2: [X₈]
• eval_non_linear10_bb1_in: [X₅]
• eval_non_linear10_bb2_in: [X₅]
• eval_non_linear10_bb3_in: [X₈]
• eval_non_linear10_bb4_in: [X₈]

MPRF for transition t₃₈: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb1_in(X₆, X₁, X₂, X₃, X₄, X₈, X₆, X₇, X₈, X₉, X₁₀) :|: 32+2⋅X₃ ≤ (X₂)²+X₄ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈ of depth 1:

new bound:

X₁₀ {O(n)}

• eval_non_linear10_1: [X₅]
• eval_non_linear10_2: [X₅]
• eval_non_linear10_bb1_in: [X₅]
• eval_non_linear10_bb2_in: [X₅]
• eval_non_linear10_bb3_in: [1+X₈]
• eval_non_linear10_bb4_in: [X₅]

MPRF for transition t₃₉: eval_non_linear10_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀) → eval_non_linear10_bb1_in(X₆, X₁, X₂, X₃, X₄, X₈, X₆, X₇, X₈, X₉, X₁₀) :|: 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₈ ∧ 1+X₈ ≤ X₅ ∧ 1 ≤ X₈+X₁₀ ∧ 1+X₈ ≤ X₁₀ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₅+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 0 ≤ X₈ of depth 1:

new bound:

X₁₀ {O(n)}

• eval_non_linear10_1: [X₅]
• eval_non_linear10_2: [X₅]
• eval_non_linear10_bb1_in: [X₅]
• eval_non_linear10_bb2_in: [X₅]
• eval_non_linear10_bb3_in: [1+X₈]
• eval_non_linear10_bb4_in: [X₅]

Cut unsatisfiable transition [t₃₈: eval_non_linear10_bb3_in→eval_non_linear10_bb1_in; t₃₉: eval_non_linear10_bb3_in→eval_non_linear10_bb1_in; t₈₄: eval_non_linear10_bb3_in→eval_non_linear10_bb4_in_v2; t₈₅: eval_non_linear10_bb3_in→eval_non_linear10_bb1_in; t₈₆: eval_non_linear10_bb3_in→eval_non_linear10_bb1_in]

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 4+X₂ ≤ X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 5+X₂ ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 4+X₂ ≤ 0 ∧ 5+X₂ ≤ X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb3_in_v2

Found invariant X₇ ≤ 0 ∧ X₅+X₇ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_stop

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_1

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₂+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb4_in_v1

Found invariant X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb2_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 8 ≤ X₂+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 9 ≤ X₂+X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 8 ≤ X₂ ∧ 9 ≤ X₂+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb3_in_v1

Found invariant X₅ ≤ X₁₀ for location eval_non_linear10_bb1_in

Found invariant X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_bb5_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 4+X₂ ≤ X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 5+X₂ ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 4+X₂ ≤ 0 ∧ 5+X₂ ≤ X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb4_in_v2

Found invariant 1+X₈ ≤ X₆ ∧ 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₄ ∧ 1+X₈ ≤ X₃ ∧ 1+X₈ ≤ X₁₀ ∧ 1+X₈ ≤ X₁ ∧ 0 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ X₆ ≤ 1+X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₄+X₈ ∧ X₄ ≤ 1+X₈ ∧ 1 ≤ X₃+X₈ ∧ X₃ ≤ 1+X₈ ∧ 2 ≤ X₂+X₈ ∧ X₂ ≤ 2+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ 1 ≤ X₁+X₈ ∧ X₁ ≤ 1+X₈ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₃ ∧ X₆ ≤ X₁₀ ∧ X₆ ≤ X₁ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₃ ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ X₂ ≤ 1+X₆ ∧ 2 ≤ X₆+X₁₀ ∧ 2 ≤ X₁+X₆ ∧ X₁ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁₀ ∧ X₅ ≤ X₁ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ X₃ ≤ X₅ ∧ 3 ≤ X₂+X₅ ∧ X₂ ≤ 1+X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 2 ≤ X₁+X₅ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ X₁₀ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ X₂ ≤ 1+X₄ ∧ 2 ≤ X₄+X₁₀ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₁₀ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 2 ≤ X₃+X₁₀ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₁₀ ∧ X₂ ≤ 1+X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₂+X₁₀ ∧ 3 ≤ X₁+X₂ ∧ 1 ≤ X₁₀ ∧ 2 ≤ X₁+X₁₀ ∧ X₁ ≤ X₁₀ ∧ 1 ≤ X₁ for location eval_non_linear10_bb3_in

Found invariant X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀ for location eval_non_linear10_bb6_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_2

Found invariant X₇ ≤ 0 ∧ X₅+X₇ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_bb7_in

Found invariant X₇ ≤ 0 ∧ X₅+X₇ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_stop

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_1

Found invariant X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb2_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb4_in

Found invariant X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀ for location eval_non_linear10_bb6_in_v1

Found invariant X₅ ≤ X₁₀ for location eval_non_linear10_bb1_in

Found invariant X₇ ≤ X₀ ∧ X₀ ≤ X₇ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_bb5_in

Found invariant 1+X₇ ≤ X₀ ∧ 1 ≤ X₇ ∧ 1+X₅ ≤ X₇ ∧ 3 ≤ X₀+X₇ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ ∧ 2+X₅ ≤ X₀ ∧ 2 ≤ X₀ for location eval_non_linear10_bb6_in_v2

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_bb3_in

Found invariant 1+X₈ ≤ X₅ ∧ 1+X₈ ≤ X₁₀ ∧ 0 ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ X₅ ≤ 1+X₈ ∧ 1 ≤ X₈+X₁₀ ∧ X₅ ≤ X₁₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₁₀ ∧ 1 ≤ X₁₀ for location eval_non_linear10_2

Found invariant X₇ ≤ 0 ∧ X₅+X₇ ≤ 0 ∧ X₇ ≤ X₀ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ for location eval_non_linear10_bb7_in

Found invariant 1+X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ X₅ ≤ X₇ ∧ 1 ≤ X₀+X₇ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₁₀ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀ for location eval_non_linear10_bb5_in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₃₂: X₁₀ {O(n)}
t₃₃: X₁₀ {O(n)}
t₃₄: 1 {O(1)}
t₃₅: X₁₀ {O(n)}
t₃₆: 1 {O(1)}
t₃₇: X₁₀ {O(n)}
t₃₈: X₁₀ {O(n)}
t₃₉: X₁₀ {O(n)}
t₄₀: inf {Infinity}
t₄₁: inf {Infinity}
t₄₂: inf {Infinity}
t₄₃: inf {Infinity}
t₄₄: 1 {O(1)}
t₄₅: inf {Infinity}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₃₂: X₁₀ {O(n)}
t₃₃: X₁₀ {O(n)}
t₃₄: 1 {O(1)}
t₃₅: X₁₀ {O(n)}
t₃₆: 1 {O(1)}
t₃₇: X₁₀ {O(n)}
t₃₈: X₁₀ {O(n)}
t₃₉: X₁₀ {O(n)}
t₄₀: inf {Infinity}
t₄₁: inf {Infinity}
t₄₂: inf {Infinity}
t₄₃: inf {Infinity}
t₄₄: 1 {O(1)}
t₄₅: inf {Infinity}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}

Sizebounds

t₃₂, X₅: X₁₀ {O(n)}
t₃₂, X₇: X₇ {O(n)}
t₃₂, X₈: X₁₀ {O(n)}
t₃₂, X₉: X₉ {O(n)}
t₃₂, X₁₀: X₁₀ {O(n)}
t₃₃, X₁: X₁₀ {O(n)}
t₃₃, X₂: 2 {O(1)}
t₃₃, X₃: X₁₀ {O(n)}
t₃₃, X₄: X₁₀ {O(n)}
t₃₃, X₅: X₁₀ {O(n)}
t₃₃, X₆: X₁₀ {O(n)}
t₃₃, X₇: X₇ {O(n)}
t₃₃, X₈: X₁₀ {O(n)}
t₃₃, X₉: X₉ {O(n)}
t₃₃, X₁₀: X₁₀ {O(n)}
t₃₄, X₀: X₉ {O(n)}
t₃₄, X₁: X₁ {O(n)}
t₃₄, X₂: X₂ {O(n)}
t₃₄, X₃: X₃ {O(n)}
t₃₄, X₄: X₄ {O(n)}
t₃₄, X₅: X₁₀ {O(n)}
t₃₄, X₆: X₆ {O(n)}
t₃₄, X₇: X₇ {O(n)}
t₃₄, X₈: X₈ {O(n)}
t₃₄, X₉: X₉ {O(n)}
t₃₄, X₁₀: X₁₀ {O(n)}
t₃₅, X₅: X₁₀ {O(n)}
t₃₅, X₇: X₇ {O(n)}
t₃₅, X₈: 2⋅X₁₀+X₈ {O(n)}
t₃₅, X₉: X₉ {O(n)}
t₃₅, X₁₀: X₁₀ {O(n)}
t₃₆, X₅: 3⋅X₁₀ {O(n)}
t₃₆, X₈: 2⋅X₁₀+X₈ {O(n)}
t₃₆, X₉: 3⋅X₉ {O(n)}
t₃₆, X₁₀: 3⋅X₁₀ {O(n)}
t₃₇, X₅: X₁₀ {O(n)}
t₃₇, X₇: X₇ {O(n)}
t₃₇, X₈: X₁₀ {O(n)}
t₃₇, X₉: X₉ {O(n)}
t₃₇, X₁₀: X₁₀ {O(n)}
t₃₈, X₅: X₁₀ {O(n)}
t₃₈, X₇: X₇ {O(n)}
t₃₈, X₈: X₁₀ {O(n)}
t₃₈, X₉: X₉ {O(n)}
t₃₈, X₁₀: X₁₀ {O(n)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₅: X₁₀ {O(n)}
t₃₉, X₇: X₇ {O(n)}
t₃₉, X₈: X₁₀ {O(n)}
t₃₉, X₉: X₉ {O(n)}
t₃₉, X₁₀: X₁₀ {O(n)}
t₄₀, X₅: X₁₀ {O(n)}
t₄₀, X₇: X₇ {O(n)}
t₄₀, X₈: X₁₀ {O(n)}
t₄₀, X₉: X₉ {O(n)}
t₄₀, X₁₀: X₁₀ {O(n)}
t₄₁, X₅: X₁₀ {O(n)}
t₄₁, X₇: X₇ {O(n)}
t₄₁, X₈: X₁₀ {O(n)}
t₄₁, X₉: X₉ {O(n)}
t₄₁, X₁₀: X₁₀ {O(n)}
t₄₂, X₅: X₁₀ {O(n)}
t₄₂, X₇: X₇ {O(n)}
t₄₂, X₈: X₁₀ {O(n)}
t₄₂, X₉: X₉ {O(n)}
t₄₂, X₁₀: X₁₀ {O(n)}
t₄₃, X₅: 3⋅X₁₀ {O(n)}
t₄₃, X₈: 2⋅X₁₀+X₈ {O(n)}
t₄₃, X₉: 3⋅X₉ {O(n)}
t₄₃, X₁₀: 3⋅X₁₀ {O(n)}
t₄₄, X₅: 6⋅X₁₀ {O(n)}
t₄₄, X₈: 2⋅X₈+4⋅X₁₀ {O(n)}
t₄₄, X₉: 6⋅X₉ {O(n)}
t₄₄, X₁₀: 6⋅X₁₀ {O(n)}
t₄₅, X₅: 3⋅X₁₀ {O(n)}
t₄₅, X₈: 2⋅X₁₀+X₈ {O(n)}
t₄₅, X₉: 3⋅X₉ {O(n)}
t₄₅, X₁₀: 3⋅X₁₀ {O(n)}
t₄₆, X₅: 6⋅X₁₀ {O(n)}
t₄₆, X₈: 2⋅X₈+4⋅X₁₀ {O(n)}
t₄₆, X₉: 6⋅X₉ {O(n)}
t₄₆, X₁₀: 6⋅X₁₀ {O(n)}
t₄₇, X₀: X₀ {O(n)}
t₄₇, X₁: X₁ {O(n)}
t₄₇, X₂: X₂ {O(n)}
t₄₇, X₃: X₃ {O(n)}
t₄₇, X₄: X₄ {O(n)}
t₄₇, X₅: X₅ {O(n)}
t₄₇, X₆: X₆ {O(n)}
t₄₇, X₇: X₇ {O(n)}
t₄₇, X₈: X₈ {O(n)}
t₄₇, X₉: X₉ {O(n)}
t₄₇, X₁₀: X₁₀ {O(n)}