KoAT2 Proof Output

Initial Problem

Preprocessing

Found invariant 1+X₉ ≤ X₈ ∧ 1+X₉ ≤ X₁ ∧ X₉ ≤ X₀ ∧ X₁ ≤ X₈ ∧ 1+X₀ ≤ X₈ ∧ 1+X₀ ≤ X₁ for location eval_t62_bb1_in

Found invariant 1+X₉ ≤ X₈ ∧ X₉ ≤ X₆ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₃ ∧ X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ X₉ ≤ X₀ ∧ 1+X₆ ≤ X₈ ∧ X₄ ≤ X₈ ∧ X₃ ≤ X₈ ∧ 1+X₂ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 1+X₀ ≤ X₈ ∧ 1+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₁ ∧ X₄ ≤ 1+X₆ ∧ X₃ ≤ 1+X₆ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ X₀ ≤ X₂ ∧ 1+X₀ ≤ X₁ for location eval_t62_.critedge3_in

Found invariant 2+X₉ ≤ X₈ ∧ 1+X₉ ≤ X₄ ∧ X₉ ≤ X₂ ∧ 2+X₉ ≤ X₁ ∧ X₉ ≤ X₀ ∧ 1+X₄ ≤ X₈ ∧ 2+X₂ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 2+X₀ ≤ X₈ ∧ X₄ ≤ 1+X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ 2+X₂ ≤ X₁ ∧ X₀ ≤ X₂ ∧ 2+X₀ ≤ X₁ for location eval_t62_2

Found invariant 3+X₉ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 1+X₉ ≤ X₄ ∧ 3+X₉ ≤ X₃ ∧ X₉ ≤ X₂ ∧ 3+X₉ ≤ X₁ ∧ X₉ ≤ X₀ ∧ 1+X₆ ≤ X₈ ∧ 2+X₄ ≤ X₈ ∧ X₃ ≤ X₈ ∧ 3+X₂ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 3+X₀ ≤ X₈ ∧ 1+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₁ ∧ 1+X₄ ≤ X₆ ∧ X₃ ≤ 1+X₆ ∧ 2+X₂ ≤ X₆ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 2+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₀ ≤ X₃ ∧ 3+X₂ ≤ X₁ ∧ X₀ ≤ X₂ ∧ 3+X₀ ≤ X₁ for location eval_t62_6

Found invariant 1+X₉ ≤ X₈ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₃ ∧ X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ X₉ ≤ X₀ ∧ X₄ ≤ X₈ ∧ X₃ ≤ X₈ ∧ 1+X₂ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 1+X₀ ≤ X₈ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ X₀ ≤ X₂ ∧ 1+X₀ ≤ X₁ for location eval_t62_.critedge_in

Found invariant 1+X₉ ≤ X₈ ∧ X₉ ≤ X₂ ∧ 1+X₉ ≤ X₁ ∧ X₉ ≤ X₀ ∧ 1+X₂ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ X₀ ≤ X₂ ∧ 1+X₀ ≤ X₁ for location eval_t62_bb2_in

Problem after Preprocessing

Start: eval_t62_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: nondef.0, nondef.1
Locations: eval_t62_.critedge3_in, eval_t62_.critedge_in, eval_t62_2, eval_t62_3, eval_t62_6, eval_t62_7, eval_t62_bb0_in, eval_t62_bb1_in, eval_t62_bb2_in, eval_t62_bb3_in, eval_t62_bb4_in, eval_t62_bb5_in, eval_t62_start, eval_t62_stop
Transitions:
t₁₉: eval_t62_.critedge3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb1_in(X₄, X₆, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₄ ≤ X₆ ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ X₄ ≤ 1+X₆ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₆ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₈ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₆ ≤ X₈ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₆ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₈ ∧ X₄ ≤ X₈ ∧ X₉ ≤ X₆
t₁₈: eval_t62_.critedge3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₆ ≤ X₄ ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ X₄ ≤ 1+X₆ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₆ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₈ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₆ ≤ X₈ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₆ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₈ ∧ X₄ ≤ X₈ ∧ X₉ ≤ X₆
t₁₂: eval_t62_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₃-1, X₇, X₈, X₉) :|: X₃ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₈ ∧ X₄ ≤ X₈
t₁₁: eval_t62_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₃-1, X₇, X₈, X₉) :|: 2+X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₈ ∧ X₄ ≤ X₈
t₈: eval_t62_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_3(X₀, X₁, X₂, X₃, X₄, nondef.0, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂
t₁₀: eval_t62_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge_in(X₀, X₁, X₂, X₁, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₅ ≤ 0 ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂
t₉: eval_t62_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb2_in(X₀, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₅ ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂
t₁₅: eval_t62_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.1, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈
t₁₇: eval_t62_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₇ ≤ 0 ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈
t₁₆: eval_t62_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge_in(X₀, X₁, X₂, X₆, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₇ ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈
t₂: eval_t62_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb1_in(X₉, X₈, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₉ ≤ X₈
t₁: eval_t62_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₈ ≤ X₉
t₃: eval_t62_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb2_in(X₀, X₁, X₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₈ ∧ 1+X₉ ≤ X₁ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₁ ≤ X₈
t₅: eval_t62_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge_in(X₀, X₁, X₂, X₁, 1+X₂, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 1+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂
t₄: eval_t62_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb3_in(X₀, X₁, X₂, X₃, 1+X₂, X₅, X₆, X₇, X₈, X₉) :|: 2+X₂ ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂
t₆: eval_t62_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂
t₁₃: eval_t62_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈
t₂₀: eval_t62_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₀: eval_t62_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

MPRF for transition t₃: eval_t62_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb2_in(X₀, X₁, X₀, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₈ ∧ 1+X₉ ≤ X₁ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₁ ≤ X₈ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₆-X₉]
• eval_t62_.critedge_in: [X₃-1-X₉]
• eval_t62_2: [X₁-1-X₉]
• eval_t62_3: [X₁-1-X₉]
• eval_t62_6: [X₆-X₉]
• eval_t62_7: [X₃-1-X₉]
• eval_t62_bb1_in: [X₁-X₉]
• eval_t62_bb2_in: [X₁-1-X₉]
• eval_t62_bb3_in: [X₁-1-X₉]
• eval_t62_bb4_in: [X₃-1-X₉]

MPRF for transition t₄: eval_t62_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb3_in(X₀, X₁, X₂, X₃, 1+X₂, X₅, X₆, X₇, X₈, X₉) :|: 2+X₂ ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₁+X₆-X₃-X₄]
• eval_t62_.critedge_in: [X₁-1-X₄]
• eval_t62_2: [X₁-X₄]
• eval_t62_3: [X₁-X₄]
• eval_t62_6: [X₁-1-X₄]
• eval_t62_7: [X₁+X₆-X₃-X₄]
• eval_t62_bb1_in: [X₁-X₀]
• eval_t62_bb2_in: [X₁-X₂]
• eval_t62_bb3_in: [X₁-X₄]
• eval_t62_bb4_in: [X₁-1-X₄]

MPRF for transition t₅: eval_t62_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge_in(X₀, X₁, X₂, X₁, 1+X₂, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ 1+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₁+X₆-X₃-X₉]
• eval_t62_.critedge_in: [X₁-1-X₉]
• eval_t62_2: [X₁-X₉]
• eval_t62_3: [X₁-X₉]
• eval_t62_6: [X₁+X₆-X₃-X₉]
• eval_t62_7: [X₁+X₆-X₃-X₉]
• eval_t62_bb1_in: [X₁-X₉]
• eval_t62_bb2_in: [X₁-X₉]
• eval_t62_bb3_in: [X₁-X₉]
• eval_t62_bb4_in: [X₁-1-X₉]

MPRF for transition t₆: eval_t62_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₆-X₄]
• eval_t62_.critedge_in: [X₃-1-X₄]
• eval_t62_2: [X₁-1-X₄]
• eval_t62_3: [X₁-1-X₄]
• eval_t62_6: [X₆-X₄]
• eval_t62_7: [X₆-X₄]
• eval_t62_bb1_in: [X₁-1-X₀]
• eval_t62_bb2_in: [X₁-1-X₂]
• eval_t62_bb3_in: [X₁-1-X₂]
• eval_t62_bb4_in: [X₆-X₄]

MPRF for transition t₈: eval_t62_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_3(X₀, X₁, X₂, X₃, X₄, nondef.0, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [1+X₈-X₄]
• eval_t62_.critedge_in: [X₈-X₂]
• eval_t62_2: [2+X₈-X₄]
• eval_t62_3: [X₈-X₂]
• eval_t62_6: [X₈-X₂]
• eval_t62_7: [X₈-X₂]
• eval_t62_bb1_in: [1+X₈-X₀]
• eval_t62_bb2_in: [1+X₈-X₂]
• eval_t62_bb3_in: [1+X₈-X₂]
• eval_t62_bb4_in: [X₈-X₂]

MPRF for transition t₉: eval_t62_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb2_in(X₀, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₅ ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [2⋅X₆-X₃-X₄]
• eval_t62_.critedge_in: [X₃-X₄]
• eval_t62_2: [X₁-X₄]
• eval_t62_3: [X₁-X₄]
• eval_t62_6: [X₆-X₄]
• eval_t62_7: [X₆-X₄]
• eval_t62_bb1_in: [X₁-1-X₀]
• eval_t62_bb2_in: [X₁-1-X₂]
• eval_t62_bb3_in: [X₁-X₄]
• eval_t62_bb4_in: [X₆-X₄]

MPRF for transition t₁₀: eval_t62_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge_in(X₀, X₁, X₂, X₁, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₅ ≤ 0 ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₈ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₈ ∧ 2+X₂ ≤ X₁ ∧ 2+X₉ ≤ X₁ ∧ 2+X₂ ≤ X₈ ∧ 2+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₈-1-X₄]
• eval_t62_.critedge_in: [X₈-1-X₄]
• eval_t62_2: [X₈-X₄]
• eval_t62_3: [X₈-X₄]
• eval_t62_6: [X₆+X₈-X₃-X₄]
• eval_t62_7: [X₆+X₈-X₃-X₄]
• eval_t62_bb1_in: [X₈-1-X₀]
• eval_t62_bb2_in: [X₈-1-X₂]
• eval_t62_bb3_in: [X₈-X₄]
• eval_t62_bb4_in: [X₈-1-X₄]

MPRF for transition t₁₁: eval_t62_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₃-1, X₇, X₈, X₉) :|: 2+X₄ ≤ X₃ ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₈ ∧ X₄ ≤ X₈ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₆-2-X₀]
• eval_t62_.critedge_in: [X₃-2-X₀]
• eval_t62_2: [X₁-1-X₀]
• eval_t62_3: [X₁-1-X₀]
• eval_t62_6: [X₆-2-X₀]
• eval_t62_7: [X₆-2-X₀]
• eval_t62_bb1_in: [X₁-1-X₀]
• eval_t62_bb2_in: [X₁-1-X₀]
• eval_t62_bb3_in: [X₁-1-X₀]
• eval_t62_bb4_in: [X₆-2-X₀]

MPRF for transition t₁₂: eval_t62_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₃-1, X₇, X₈, X₉) :|: X₃ ≤ 1+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₈ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₈ ∧ X₄ ≤ X₈ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₈-X₄]
• eval_t62_.critedge_in: [X₈-X₀]
• eval_t62_2: [X₈-X₀]
• eval_t62_3: [X₈-X₀]
• eval_t62_6: [1+X₂+X₈-X₀-X₄]
• eval_t62_7: [1+X₂+X₈-X₀-X₄]
• eval_t62_bb1_in: [X₈-X₀]
• eval_t62_bb2_in: [X₈-X₀]
• eval_t62_bb3_in: [X₈-X₀]
• eval_t62_bb4_in: [1+X₂+X₈-X₀-X₄]

MPRF for transition t₁₃: eval_t62_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₆-X₂]
• eval_t62_.critedge_in: [1+X₃-X₂]
• eval_t62_2: [1+X₁-X₀]
• eval_t62_3: [1+X₁-X₀]
• eval_t62_6: [X₃-X₂]
• eval_t62_7: [1+X₆-X₂]
• eval_t62_bb1_in: [1+X₁-X₀]
• eval_t62_bb2_in: [1+X₁-X₀]
• eval_t62_bb3_in: [1+X₁-X₀]
• eval_t62_bb4_in: [2+X₃-X₄]

MPRF for transition t₁₅: eval_t62_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, nondef.1, X₈, X₉) :|: X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈ of depth 1:

new bound:

X₈+X₉+1 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [1+X₆-X₄]
• eval_t62_.critedge_in: [2+X₃-X₄]
• eval_t62_2: [1+X₁-X₂]
• eval_t62_3: [2+X₁-X₄]
• eval_t62_6: [1+X₃-X₂]
• eval_t62_7: [X₃-X₂]
• eval_t62_bb1_in: [1+X₁-X₀]
• eval_t62_bb2_in: [1+X₁-X₂]
• eval_t62_bb3_in: [1+X₁-X₂]
• eval_t62_bb4_in: [1+X₃-X₂]

MPRF for transition t₁₆: eval_t62_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge_in(X₀, X₁, X₂, X₆, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₇ ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈ of depth 1:

new bound:

X₈+X₉+2 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₆-X₄]
• eval_t62_.critedge_in: [X₃-1-X₄]
• eval_t62_2: [X₁-2-X₂]
• eval_t62_3: [X₁-1-X₄]
• eval_t62_6: [X₆-X₄]
• eval_t62_7: [X₆-X₄]
• eval_t62_bb1_in: [X₁-2-X₀]
• eval_t62_bb2_in: [X₁-2-X₂]
• eval_t62_bb3_in: [X₁-2-X₂]
• eval_t62_bb4_in: [X₆-X₄]

MPRF for transition t₁₇: eval_t62_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_.critedge3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₇ ≤ 0 ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ 1+X₀ ≤ X₄ ∧ 1+X₆ ≤ X₁ ∧ 1+X₂ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₄ ≤ X₆ ∧ 1+X₆ ≤ X₈ ∧ 2+X₀ ≤ X₆ ∧ 2+X₄ ≤ X₁ ∧ 2+X₂ ≤ X₆ ∧ 2+X₄ ≤ X₃ ∧ 2+X₄ ≤ X₈ ∧ 2+X₉ ≤ X₆ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₃ ∧ 3+X₀ ≤ X₈ ∧ 3+X₂ ≤ X₁ ∧ 3+X₉ ≤ X₁ ∧ 3+X₂ ≤ X₃ ∧ 3+X₂ ≤ X₈ ∧ 3+X₉ ≤ X₃ ∧ 3+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₃ ≤ X₈ of depth 1:

new bound:

X₈+X₉+2 {O(n)}

MPRF:

• eval_t62_.critedge3_in: [2+X₆-X₄]
• eval_t62_.critedge_in: [1+X₃-X₂]
• eval_t62_2: [1+X₁-X₂]
• eval_t62_3: [1+X₁-X₂]
• eval_t62_6: [1+X₃-X₂]
• eval_t62_7: [3+X₆-X₄]
• eval_t62_bb1_in: [2+X₁-X₀]
• eval_t62_bb2_in: [2+X₁-X₂]
• eval_t62_bb3_in: [1+X₁-X₂]
• eval_t62_bb4_in: [1+X₃-X₂]

MPRF for transition t₁₉: eval_t62_.critedge3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_t62_bb1_in(X₄, X₆, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₄ ≤ X₆ ∧ X₄ ≤ 1+X₂ ∧ X₃ ≤ 1+X₆ ∧ X₄ ≤ 1+X₆ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₀ ≤ X₈ ∧ 1+X₂ ≤ X₁ ∧ 1+X₆ ≤ X₁ ∧ 1+X₉ ≤ X₁ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₄ ∧ 1+X₂ ≤ X₈ ∧ 1+X₆ ≤ X₃ ∧ 1+X₉ ≤ X₃ ∧ 1+X₉ ≤ X₄ ∧ 1+X₆ ≤ X₈ ∧ 1+X₉ ≤ X₈ ∧ X₉ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₆ ∧ X₃ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₈ ∧ X₉ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₃ ≤ X₈ ∧ X₄ ≤ X₈ ∧ X₉ ≤ X₆ of depth 1:

new bound:

X₈+X₉ {O(n)}

MPRF:

• eval_t62_.critedge3_in: [X₈-X₂]
• eval_t62_.critedge_in: [1+X₈-X₄]
• eval_t62_2: [X₈-X₀]
• eval_t62_3: [X₈-X₀]
• eval_t62_6: [1+X₈-X₄]
• eval_t62_7: [1+X₈-X₄]
• eval_t62_bb1_in: [X₈-X₀]
• eval_t62_bb2_in: [X₈-X₀]
• eval_t62_bb3_in: [X₈-X₀]
• eval_t62_bb4_in: [1+X₈-X₄]

All Bounds

Timebounds

Overall timebound:14⋅X₈+14⋅X₉+16 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₈+X₉ {O(n)}
t₄: X₈+X₉ {O(n)}
t₅: X₈+X₉ {O(n)}
t₆: X₈+X₉+1 {O(n)}
t₈: X₈+X₉+1 {O(n)}
t₉: X₈+X₉+1 {O(n)}
t₁₀: X₈+X₉+1 {O(n)}
t₁₁: X₈+X₉+1 {O(n)}
t₁₂: X₈+X₉ {O(n)}
t₁₃: X₈+X₉+1 {O(n)}
t₁₅: X₈+X₉+1 {O(n)}
t₁₆: X₈+X₉+2 {O(n)}
t₁₇: X₈+X₉+2 {O(n)}
t₁₈: 1 {O(1)}
t₁₉: X₈+X₉ {O(n)}
t₂₀: 1 {O(1)}

Costbounds

Overall costbound: 14⋅X₈+14⋅X₉+16 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₈+X₉ {O(n)}
t₄: X₈+X₉ {O(n)}
t₅: X₈+X₉ {O(n)}
t₆: X₈+X₉+1 {O(n)}
t₈: X₈+X₉+1 {O(n)}
t₉: X₈+X₉+1 {O(n)}
t₁₀: X₈+X₉+1 {O(n)}
t₁₁: X₈+X₉+1 {O(n)}
t₁₂: X₈+X₉ {O(n)}
t₁₃: X₈+X₉+1 {O(n)}
t₁₅: X₈+X₉+1 {O(n)}
t₁₆: X₈+X₉+2 {O(n)}
t₁₇: X₈+X₉+2 {O(n)}
t₁₈: 1 {O(1)}
t₁₉: X₈+X₉ {O(n)}
t₂₀: 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)}
t₀, X₉: X₉ {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)}
t₁, X₉: X₉ {O(n)}
t₂, X₀: X₉ {O(n)}
t₂, X₁: X₈ {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)}
t₂, X₈: X₈ {O(n)}
t₂, X₉: X₉ {O(n)}
t₃, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₃, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₃, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₃, X₃: 2⋅X₉+3⋅X₈+X₃+3 {O(n)}
t₃, X₄: 2⋅X₈+3⋅X₉+X₄+1 {O(n)}
t₃, X₆: 2⋅X₉+3⋅X₈+X₆+3 {O(n)}
t₃, X₈: X₈ {O(n)}
t₃, X₉: X₉ {O(n)}
t₄, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₄, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₄, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₄, X₃: 2⋅X₉+3⋅X₈+X₃+3 {O(n)}
t₄, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₄, X₆: 2⋅X₉+3⋅X₈+X₆+3 {O(n)}
t₄, X₈: X₈ {O(n)}
t₄, X₉: X₉ {O(n)}
t₅, X₀: 4⋅X₈+8⋅X₉+2 {O(n)}
t₅, X₁: 4⋅X₉+6⋅X₈+6 {O(n)}
t₅, X₂: 4⋅X₈+6⋅X₉+2 {O(n)}
t₅, X₃: 4⋅X₉+6⋅X₈+6 {O(n)}
t₅, X₄: 4⋅X₈+6⋅X₉+4 {O(n)}
t₅, X₆: 2⋅X₆+4⋅X₉+6⋅X₈+6 {O(n)}
t₅, X₈: 2⋅X₈ {O(n)}
t₅, X₉: 2⋅X₉ {O(n)}
t₆, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₆, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₆, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₆, X₃: 2⋅X₉+3⋅X₈+X₃+3 {O(n)}
t₆, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₆, X₆: 2⋅X₉+3⋅X₈+X₆+3 {O(n)}
t₆, X₈: X₈ {O(n)}
t₆, X₉: X₉ {O(n)}
t₈, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₈, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₈, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₈, X₃: 2⋅X₉+3⋅X₈+X₃+3 {O(n)}
t₈, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₈, X₆: 2⋅X₉+3⋅X₈+X₆+3 {O(n)}
t₈, X₈: X₈ {O(n)}
t₈, X₉: X₉ {O(n)}
t₉, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₉, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₉, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₉, X₃: 2⋅X₉+3⋅X₈+X₃+3 {O(n)}
t₉, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₉, X₆: 2⋅X₉+3⋅X₈+X₆+3 {O(n)}
t₉, X₈: X₈ {O(n)}
t₉, X₉: X₉ {O(n)}
t₁₀, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₁₀, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₀, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₀, X₃: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₀, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₀, X₆: 2⋅X₉+3⋅X₈+X₆+3 {O(n)}
t₁₀, X₈: X₈ {O(n)}
t₁₀, X₉: X₉ {O(n)}
t₁₁, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₁₁, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₁, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₁, X₃: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₁, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₁, X₆: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₁, X₈: X₈ {O(n)}
t₁₁, X₉: X₉ {O(n)}
t₁₂, X₀: 16⋅X₉+8⋅X₈+4 {O(n)}
t₁₂, X₁: 12⋅X₈+8⋅X₉+12 {O(n)}
t₁₂, X₂: 12⋅X₉+8⋅X₈+4 {O(n)}
t₁₂, X₃: 12⋅X₈+8⋅X₉+12 {O(n)}
t₁₂, X₄: 12⋅X₉+8⋅X₈+6 {O(n)}
t₁₂, X₆: 12⋅X₈+8⋅X₉+15 {O(n)}
t₁₂, X₈: 4⋅X₈ {O(n)}
t₁₂, X₉: 4⋅X₉ {O(n)}
t₁₃, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₁₃, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₃, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₃, X₃: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₃, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₃, X₆: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₃, X₈: X₈ {O(n)}
t₁₃, X₉: X₉ {O(n)}
t₁₅, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₁₅, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₅, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₅, X₃: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₅, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₅, X₆: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₅, X₈: X₈ {O(n)}
t₁₅, X₉: X₉ {O(n)}
t₁₆, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₁₆, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₆, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₆, X₃: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₆, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₆, X₆: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₆, X₈: X₈ {O(n)}
t₁₆, X₉: X₉ {O(n)}
t₁₇, X₀: 2⋅X₈+4⋅X₉+1 {O(n)}
t₁₇, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₇, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₇, X₃: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₇, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₇, X₆: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₇, X₈: X₈ {O(n)}
t₁₇, X₉: X₉ {O(n)}
t₁₈, X₀: 16⋅X₉+8⋅X₈+4 {O(n)}
t₁₈, X₁: 12⋅X₈+8⋅X₉+12 {O(n)}
t₁₈, X₂: 12⋅X₉+8⋅X₈+4 {O(n)}
t₁₈, X₃: 12⋅X₈+8⋅X₉+12 {O(n)}
t₁₈, X₄: 12⋅X₉+8⋅X₈+6 {O(n)}
t₁₈, X₆: 12⋅X₈+8⋅X₉+15 {O(n)}
t₁₈, X₈: 4⋅X₈ {O(n)}
t₁₈, X₉: 4⋅X₉ {O(n)}
t₁₉, X₀: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₉, X₁: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₉, X₂: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₉, X₃: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₉, X₄: 2⋅X₈+3⋅X₉+1 {O(n)}
t₁₉, X₆: 2⋅X₉+3⋅X₈+3 {O(n)}
t₁₉, X₈: X₈ {O(n)}
t₁₉, X₉: X₉ {O(n)}
t₂₀, X₀: 16⋅X₉+8⋅X₈+X₀+4 {O(n)}
t₂₀, X₁: 12⋅X₈+8⋅X₉+X₁+12 {O(n)}
t₂₀, X₂: 12⋅X₉+8⋅X₈+X₂+4 {O(n)}
t₂₀, X₃: 12⋅X₈+8⋅X₉+X₃+12 {O(n)}
t₂₀, X₄: 12⋅X₉+8⋅X₈+X₄+6 {O(n)}
t₂₀, X₆: 12⋅X₈+8⋅X₉+X₆+15 {O(n)}
t₂₀, X₈: 5⋅X₈ {O(n)}
t₂₀, X₉: 5⋅X₉ {O(n)}