Initial Problem
Start: eval_serpent_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars: nondef.0, nondef.1
Locations: eval_serpent_.critedge1_in, eval_serpent_.critedge_in, eval_serpent_0, eval_serpent_1, eval_serpent_6, eval_serpent_7, eval_serpent_bb0_in, eval_serpent_bb1_in, eval_serpent_bb2_in, eval_serpent_bb3_in, eval_serpent_bb4_in, eval_serpent_bb5_in, eval_serpent_bb6_in, eval_serpent_bb7_in, eval_serpent_start, eval_serpent_stop
Transitions:
t₃: eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: 0 ≤ X₄
t₄: eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ 0
t₁₃: eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in(X₀, X₄-1, X₂, X₃, X₄, X₅, X₆, X₆)
t₉: eval_serpent_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_1(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₁: eval_serpent_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0
t₁₀: eval_serpent_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀
t₁₈: eval_serpent_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_7(X₀, X₁, nondef.1, X₃, X₄, X₅, X₆, X₇)
t₂₀: eval_serpent_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: X₂ ≤ 0
t₁₉: eval_serpent_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂
t₂: eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₃, X₃, X₆, X₇) :|: 1 ≤ X₃
t₁: eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 0
t₆: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0
t₅: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆
t₇: eval_serpent_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₁₂: eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇)
t₁₅: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇
t₁₄: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ X₃
t₁₆: eval_serpent_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₁: eval_serpent_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇)
t₂₂: eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₀: eval_serpent_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
Preprocessing
Found invariant X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_6
Found invariant X₆ ≤ X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_bb1_in
Found invariant 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_.critedge1_in
Found invariant X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₂+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂ for location eval_serpent_bb6_in
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_0
Found invariant X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_7
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_serpent_bb3_in
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_bb2_in
Found invariant 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_bb4_in
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_1
Found invariant X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_bb5_in
Found invariant X₆ ≤ X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_.critedge_in
Problem after Preprocessing
Start: eval_serpent_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars: nondef.0, nondef.1
Locations: eval_serpent_.critedge1_in, eval_serpent_.critedge_in, eval_serpent_0, eval_serpent_1, eval_serpent_6, eval_serpent_7, eval_serpent_bb0_in, eval_serpent_bb1_in, eval_serpent_bb2_in, eval_serpent_bb3_in, eval_serpent_bb4_in, eval_serpent_bb5_in, eval_serpent_bb6_in, eval_serpent_bb7_in, eval_serpent_start, eval_serpent_stop
Transitions:
t₃: eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: 0 ≤ X₄ ∧ 0 ≤ 1+X₅ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅
t₄: eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ 0 ∧ 0 ≤ 1+X₅ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅
t₁₃: eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in(X₀, X₄-1, X₂, X₃, X₄, X₅, X₆, X₆) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₅
t₉: eval_serpent_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_1(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₁: eval_serpent_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₀: eval_serpent_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₈: eval_serpent_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_7(X₀, X₁, nondef.1, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇
t₂₀: eval_serpent_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: X₂ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇
t₁₉: eval_serpent_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇
t₂: eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₃, X₃, X₆, X₇) :|: 1 ≤ X₃
t₁: eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 0
t₆: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₅
t₅: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₅
t₇: eval_serpent_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₂: eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₅: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇
t₁₄: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ X₃ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇
t₁₆: eval_serpent_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇
t₂₁: eval_serpent_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇
t₂₂: eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₀: eval_serpent_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
MPRF for transition t₃: eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: 0 ≤ X₄ ∧ 0 ≤ 1+X₅ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [1+X₄]
• eval_serpent_.critedge_in: [X₄]
• eval_serpent_0: [X₄]
• eval_serpent_1: [X₄]
• eval_serpent_6: [X₄]
• eval_serpent_7: [X₄]
• eval_serpent_bb1_in: [X₄]
• eval_serpent_bb2_in: [X₄]
• eval_serpent_bb3_in: [X₄]
• eval_serpent_bb4_in: [X₄]
• eval_serpent_bb5_in: [X₄]
• eval_serpent_bb6_in: [X₄]
MPRF for transition t₆: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₅ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [0]
• eval_serpent_.critedge_in: [0]
• eval_serpent_0: [1]
• eval_serpent_1: [1]
• eval_serpent_6: [0]
• eval_serpent_7: [0]
• eval_serpent_bb1_in: [1]
• eval_serpent_bb2_in: [1]
• eval_serpent_bb3_in: [1]
• eval_serpent_bb4_in: [0]
• eval_serpent_bb5_in: [0]
• eval_serpent_bb6_in: [0]
MPRF for transition t₁₁: eval_serpent_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [0]
• eval_serpent_.critedge_in: [0]
• eval_serpent_0: [1]
• eval_serpent_1: [1]
• eval_serpent_6: [0]
• eval_serpent_7: [0]
• eval_serpent_bb1_in: [1]
• eval_serpent_bb2_in: [1]
• eval_serpent_bb3_in: [1]
• eval_serpent_bb4_in: [0]
• eval_serpent_bb5_in: [0]
• eval_serpent_bb6_in: [0]
MPRF for transition t₁₃: eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in(X₀, X₄-1, X₂, X₃, X₄, X₅, X₆, X₆) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₅ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [-4-X₆]
• eval_serpent_.critedge_in: [1]
• eval_serpent_0: [1]
• eval_serpent_1: [1]
• eval_serpent_6: [-4-X₆]
• eval_serpent_7: [-4-X₆]
• eval_serpent_bb1_in: [1]
• eval_serpent_bb2_in: [1]
• eval_serpent_bb3_in: [1]
• eval_serpent_bb4_in: [-4-X₆]
• eval_serpent_bb5_in: [-4-X₆]
• eval_serpent_bb6_in: [-4-X₆]
MPRF for transition t₁₄: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ X₃ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+2 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₃-X₇]
• eval_serpent_.critedge_in: [2+X₃]
• eval_serpent_0: [2+X₃]
• eval_serpent_1: [2+X₃]
• eval_serpent_6: [X₃-X₇]
• eval_serpent_7: [X₃-X₇]
• eval_serpent_bb1_in: [2+X₃]
• eval_serpent_bb2_in: [2+X₃]
• eval_serpent_bb3_in: [2+X₃]
• eval_serpent_bb4_in: [1+X₃-X₇]
• eval_serpent_bb5_in: [X₃-X₇]
• eval_serpent_bb6_in: [X₃-X₇]
MPRF for transition t₁₅: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [1-X₃-X₅]
• eval_serpent_.critedge_in: [1]
• eval_serpent_0: [1]
• eval_serpent_1: [1]
• eval_serpent_6: [1]
• eval_serpent_7: [1]
• eval_serpent_bb1_in: [1]
• eval_serpent_bb2_in: [1]
• eval_serpent_bb3_in: [1]
• eval_serpent_bb4_in: [1]
• eval_serpent_bb5_in: [1]
• eval_serpent_bb6_in: [1]
MPRF for transition t₁₆: eval_serpent_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+2 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₃-X₇]
• eval_serpent_.critedge_in: [2+X₃]
• eval_serpent_0: [2+X₃]
• eval_serpent_1: [2+X₃]
• eval_serpent_6: [X₃-X₇]
• eval_serpent_7: [X₃-X₇]
• eval_serpent_bb1_in: [2+X₃]
• eval_serpent_bb2_in: [2+X₃]
• eval_serpent_bb3_in: [2+X₃]
• eval_serpent_bb4_in: [1+X₃-X₇]
• eval_serpent_bb5_in: [1+X₃-X₇]
• eval_serpent_bb6_in: [X₃-X₇]
MPRF for transition t₁₈: eval_serpent_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_7(X₀, X₁, nondef.1, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+2 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₃-X₇]
• eval_serpent_.critedge_in: [2+X₃]
• eval_serpent_0: [2+X₃]
• eval_serpent_1: [2+X₃]
• eval_serpent_6: [1+X₃-X₇]
• eval_serpent_7: [X₃-X₇]
• eval_serpent_bb1_in: [2+X₃]
• eval_serpent_bb2_in: [2+X₃]
• eval_serpent_bb3_in: [2+X₃]
• eval_serpent_bb4_in: [1+X₃-X₇]
• eval_serpent_bb5_in: [1+X₃-X₇]
• eval_serpent_bb6_in: [X₃-X₇]
MPRF for transition t₁₉: eval_serpent_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ of depth 1:
new bound:
3⋅X₃⋅X₃+3⋅X₃ {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [3⋅X₃+X₆-X₇]
• eval_serpent_.critedge_in: [3⋅X₃]
• eval_serpent_0: [3⋅X₃]
• eval_serpent_1: [3⋅X₃]
• eval_serpent_6: [3⋅X₃+X₆-X₇]
• eval_serpent_7: [3⋅X₃+X₆-X₇]
• eval_serpent_bb1_in: [3⋅X₃]
• eval_serpent_bb2_in: [3⋅X₃]
• eval_serpent_bb3_in: [3⋅X₃]
• eval_serpent_bb4_in: [3⋅X₃+X₆-X₇]
• eval_serpent_bb5_in: [3⋅X₃+X₆-X₇]
• eval_serpent_bb6_in: [3⋅X₃+X₆-1-X₇]
MPRF for transition t₂₀: eval_serpent_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: X₂ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [0]
• eval_serpent_.critedge_in: [1]
• eval_serpent_0: [1]
• eval_serpent_1: [1]
• eval_serpent_6: [1]
• eval_serpent_7: [1]
• eval_serpent_bb1_in: [1]
• eval_serpent_bb2_in: [1]
• eval_serpent_bb3_in: [1]
• eval_serpent_bb4_in: [1]
• eval_serpent_bb5_in: [1]
• eval_serpent_bb6_in: [1]
MPRF for transition t₂₁: eval_serpent_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+2 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₃+X₆-X₇]
• eval_serpent_.critedge_in: [2+X₃]
• eval_serpent_0: [2+X₃]
• eval_serpent_1: [2+X₃]
• eval_serpent_6: [2+X₃+X₆-X₇]
• eval_serpent_7: [2+X₃+X₆-X₇]
• eval_serpent_bb1_in: [2+X₃]
• eval_serpent_bb2_in: [2+X₃]
• eval_serpent_bb3_in: [2+X₃]
• eval_serpent_bb4_in: [2+X₃+X₆-X₇]
• eval_serpent_bb5_in: [2+X₃+X₆-X₇]
• eval_serpent_bb6_in: [2+X₃+X₆-X₇]
MPRF for transition t₅: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₅ of depth 1:
new bound:
2⋅X₃⋅X₃⋅X₃+10⋅X₃⋅X₃+19⋅X₃+11 {O(n^3)}
MPRF:
• eval_serpent_.critedge1_in: [1+X₅]
• eval_serpent_.critedge_in: [X₆]
• eval_serpent_0: [X₆]
• eval_serpent_1: [X₆]
• eval_serpent_6: [1+X₁-X₃-X₄]
• eval_serpent_7: [1+X₁-X₃-X₄]
• eval_serpent_bb1_in: [1+X₆]
• eval_serpent_bb2_in: [X₆]
• eval_serpent_bb3_in: [X₆]
• eval_serpent_bb4_in: [-X₃]
• eval_serpent_bb5_in: [1+X₁-X₃-X₄]
• eval_serpent_bb6_in: [1+X₁-X₃-X₄]
MPRF for transition t₇: eval_serpent_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
2⋅X₃⋅X₃⋅X₃+18⋅X₃⋅X₃+35⋅X₃+18 {O(n^3)}
MPRF:
• eval_serpent_.critedge1_in: [2+2⋅X₄+X₅]
• eval_serpent_.critedge_in: [-X₆]
• eval_serpent_0: [1+X₆]
• eval_serpent_1: [1+X₆]
• eval_serpent_6: [2+2⋅X₁-2⋅X₄-X₆]
• eval_serpent_7: [1+X₁-X₄-X₆]
• eval_serpent_bb1_in: [2+X₆]
• eval_serpent_bb2_in: [2+X₆]
• eval_serpent_bb3_in: [1+X₆]
• eval_serpent_bb4_in: [1+X₁-X₄-X₆]
• eval_serpent_bb5_in: [1+X₁-X₄-X₆]
• eval_serpent_bb6_in: [1+X₁-X₄-X₆]
MPRF for transition t₉: eval_serpent_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_1(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
2⋅X₃⋅X₃⋅X₃+10⋅X₃⋅X₃+19⋅X₃+11 {O(n^3)}
MPRF:
• eval_serpent_.critedge1_in: [1+X₅]
• eval_serpent_.critedge_in: [X₆]
• eval_serpent_0: [1+X₆]
• eval_serpent_1: [X₆]
• eval_serpent_6: [1+X₁+X₆-X₄]
• eval_serpent_7: [1+X₁+X₆-X₄]
• eval_serpent_bb1_in: [1+X₆]
• eval_serpent_bb2_in: [1+X₆]
• eval_serpent_bb3_in: [X₆]
• eval_serpent_bb4_in: [X₆]
• eval_serpent_bb5_in: [X₆]
• eval_serpent_bb6_in: [1+X₁+X₆-X₄]
MPRF for transition t₁₀: eval_serpent_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃⋅X₃⋅X₃⋅X₃+13⋅X₃⋅X₃⋅X₃+39⋅X₃⋅X₃+42⋅X₃+15 {O(n^4)}
MPRF:
• eval_serpent_.critedge1_in: [1+X₅]
• eval_serpent_.critedge_in: [1+X₆]
• eval_serpent_0: [1+X₆]
• eval_serpent_1: [1+X₆]
• eval_serpent_6: [X₄+X₇-X₁]
• eval_serpent_7: [X₄+X₇-X₁]
• eval_serpent_bb1_in: [1+X₆]
• eval_serpent_bb2_in: [1+X₆]
• eval_serpent_bb3_in: [X₆]
• eval_serpent_bb4_in: [X₄+X₇-X₁]
• eval_serpent_bb5_in: [X₄+X₇-X₁]
• eval_serpent_bb6_in: [X₄+X₇-X₁]
MPRF for transition t₁₂: eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃⋅X₃⋅X₃⋅X₃+7⋅X₃⋅X₃⋅X₃+19⋅X₃⋅X₃+24⋅X₃+11 {O(n^4)}
MPRF:
• eval_serpent_.critedge1_in: [1+X₅]
• eval_serpent_.critedge_in: [1+X₆]
• eval_serpent_0: [1+X₆]
• eval_serpent_1: [1+X₆]
• eval_serpent_6: [X₄+X₇-X₁]
• eval_serpent_7: [X₄+X₇-X₁]
• eval_serpent_bb1_in: [1+X₆]
• eval_serpent_bb2_in: [1+X₆]
• eval_serpent_bb3_in: [1+X₆]
• eval_serpent_bb4_in: [1+X₇]
• eval_serpent_bb5_in: [X₄+X₇-X₁]
• eval_serpent_bb6_in: [X₄+X₇-X₁]
knowledge_propagation leads to new time bound 2⋅X₃⋅X₃⋅X₃+10⋅X₃⋅X₃+19⋅X₃+11 {O(n^3)} for transition t₁₀: eval_serpent_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
knowledge_propagation leads to new time bound 2⋅X₃⋅X₃⋅X₃+10⋅X₃⋅X₃+19⋅X₃+11 {O(n^3)} for transition t₁₂: eval_serpent_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
Cut unreachable locations [eval_serpent_1; eval_serpent_7] from the program graph
Found invariant 1+X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_serpent_0_v2
Found invariant 1+X₆ ≤ X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_serpent_bb1_in_v1
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_7_v1
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ 0 ≤ X₂+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂ for location eval_serpent_bb6_in_v1
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ 1+X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 0 ≤ 1+X₅+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂ for location eval_serpent_6_v2
Found invariant X₇ ≤ 1+X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ 1+X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 0 ≤ 1+X₅+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂ for location eval_serpent_bb4_in_v1
Found invariant 1+X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_serpent_bb3_in_v2
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_serpent_bb3_in_v1
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location eval_serpent_0_v1
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ 1+X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 0 ≤ 1+X₅+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂ for location eval_serpent_bb5_in_v2
Found invariant 1+X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location eval_serpent_bb2_in_v2
Found invariant X₆ ≤ X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location eval_serpent_bb1_in
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ 1+X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 0 ≤ 1+X₅+X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₂+X₇ ∧ X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₁ ≤ X₃ ∧ 1 ≤ X₂ for location eval_serpent_bb6_in_v2
Found invariant 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_.critedge1_in
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location eval_serpent_bb2_in_v1
Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ 1 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃ for location eval_serpent_1_v1
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_6_v1
Found invariant X₇ ≤ X₃ ∧ 0 ≤ X₇ ∧ 0 ≤ 1+X₆+X₇ ∧ 1+X₆ ≤ X₇ ∧ 0 ≤ 1+X₅+X₇ ∧ 1 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_7_v2
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_bb4_in
Found invariant X₇ ≤ X₆ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₃ ∧ 0 ≤ 1+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₆ ≤ X₇ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 1+X₁ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₁ ≤ X₃ for location eval_serpent_bb5_in_v1
Found invariant 1+X₆ ≤ X₅ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_1_v2
Found invariant X₆ ≤ X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 1 ≤ X₃ for location eval_serpent_.critedge_in
Analysing control-flow refined program
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₂: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₄+X₅ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₃: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₄+X₅ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₄: eval_serpent_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_0_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₅: eval_serpent_0_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_1_v1(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₆: eval_serpent_1_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₇: eval_serpent_1_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₈: eval_serpent_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₆: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ X₃ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₇: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₈: eval_serpent_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_6_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₉: eval_serpent_6_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_7_v1(X₀, X₁, nondef.1, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₃₀: eval_serpent_7_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb6_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₃₁: eval_serpent_7_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: X₂ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₃₂: eval_serpent_bb6_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
MPRF for transition t₁₁₉: eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ X₆ ≤ X₅ of depth 1:
new bound:
X₃⋅X₃+4⋅X₃+3 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [1+X₅]
• eval_serpent_.critedge_in: [1+X₆]
• eval_serpent_0_v1: [1+X₅]
• eval_serpent_0_v2: [1+X₆]
• eval_serpent_1_v1: [1+X₆]
• eval_serpent_1_v2: [1+X₆]
• eval_serpent_6_v1: [X₄+X₇-X₁]
• eval_serpent_6_v2: [2+X₃]
• eval_serpent_7_v1: [X₄+X₇-X₁]
• eval_serpent_7_v2: [1+X₃+X₄-X₁]
• eval_serpent_bb1_in: [1+X₆]
• eval_serpent_bb1_in_v1: [2+X₆]
• eval_serpent_bb2_in_v1: [1+X₆]
• eval_serpent_bb2_in_v2: [1+X₆]
• eval_serpent_bb3_in_v1: [1+X₅]
• eval_serpent_bb3_in_v2: [1+X₆]
• eval_serpent_bb4_in: [1+X₇]
• eval_serpent_bb4_in_v1: [2+X₃]
• eval_serpent_bb5_in_v1: [1+X₇]
• eval_serpent_bb5_in_v2: [2+X₃]
• eval_serpent_bb6_in_v1: [2+X₁+X₇-X₄]
• eval_serpent_bb6_in_v2: [2+X₃]
MPRF for transition t₁₂₀: eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ X₆ ≤ X₅ of depth 1:
new bound:
2⋅X₃⋅X₃+5⋅X₃+1 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₃+X₅]
• eval_serpent_.critedge_in: [X₃+X₆]
• eval_serpent_0_v1: [X₃+X₆]
• eval_serpent_0_v2: [1+X₃+X₆]
• eval_serpent_1_v1: [X₃+X₅]
• eval_serpent_1_v2: [1+X₃+X₆]
• eval_serpent_6_v1: [X₃+X₆]
• eval_serpent_6_v2: [1+2⋅X₃]
• eval_serpent_7_v1: [X₃+X₇]
• eval_serpent_7_v2: [1+2⋅X₃]
• eval_serpent_bb1_in: [X₃+X₆]
• eval_serpent_bb1_in_v1: [1+X₃+X₆]
• eval_serpent_bb2_in_v1: [X₃+X₆]
• eval_serpent_bb2_in_v2: [1+X₃+X₆]
• eval_serpent_bb3_in_v1: [X₃+X₅]
• eval_serpent_bb3_in_v2: [X₃+X₆]
• eval_serpent_bb4_in: [X₃+X₆]
• eval_serpent_bb4_in_v1: [1+2⋅X₃]
• eval_serpent_bb5_in_v1: [X₃+X₆]
• eval_serpent_bb5_in_v2: [1+2⋅X₃]
• eval_serpent_bb6_in_v1: [X₃+X₇]
• eval_serpent_bb6_in_v2: [1+2⋅X₃]
MPRF for transition t₁₂₁: eval_serpent_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_0_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
2⋅X₃⋅X₃+5⋅X₃+1 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₃+X₅]
• eval_serpent_.critedge_in: [X₃+X₆]
• eval_serpent_0_v1: [X₃+X₆]
• eval_serpent_0_v2: [X₃+X₆]
• eval_serpent_1_v1: [X₃+X₅]
• eval_serpent_1_v2: [X₃+X₆]
• eval_serpent_6_v1: [X₃+X₇]
• eval_serpent_6_v2: [1+2⋅X₃]
• eval_serpent_7_v1: [X₃+X₇]
• eval_serpent_7_v2: [1+2⋅X₃]
• eval_serpent_bb1_in: [X₃+X₅]
• eval_serpent_bb1_in_v1: [1+X₃+X₆]
• eval_serpent_bb2_in_v1: [X₃+X₅]
• eval_serpent_bb2_in_v2: [1+X₃+X₆]
• eval_serpent_bb3_in_v1: [X₃+X₆]
• eval_serpent_bb3_in_v2: [X₃+X₆]
• eval_serpent_bb4_in: [X₃+X₇]
• eval_serpent_bb4_in_v1: [1+2⋅X₃]
• eval_serpent_bb5_in_v1: [X₃+X₇]
• eval_serpent_bb5_in_v2: [1+2⋅X₃]
• eval_serpent_bb6_in_v1: [X₃+X₇]
• eval_serpent_bb6_in_v2: [1+2⋅X₃]
MPRF for transition t₁₂₂: eval_serpent_0_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_1_v2(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+1 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₅]
• eval_serpent_.critedge_in: [X₆]
• eval_serpent_0_v1: [X₆]
• eval_serpent_0_v2: [1+X₆]
• eval_serpent_1_v1: [X₆]
• eval_serpent_1_v2: [X₆]
• eval_serpent_6_v1: [X₇]
• eval_serpent_6_v2: [1+X₃]
• eval_serpent_7_v1: [X₇]
• eval_serpent_7_v2: [1+X₃]
• eval_serpent_bb1_in: [X₅]
• eval_serpent_bb1_in_v1: [1+X₆]
• eval_serpent_bb2_in_v1: [X₆]
• eval_serpent_bb2_in_v2: [1+X₆]
• eval_serpent_bb3_in_v1: [X₅]
• eval_serpent_bb3_in_v2: [X₆]
• eval_serpent_bb4_in: [X₇]
• eval_serpent_bb4_in_v1: [1+X₃]
• eval_serpent_bb5_in_v1: [X₇]
• eval_serpent_bb5_in_v2: [1+X₃]
• eval_serpent_bb6_in_v1: [X₇]
• eval_serpent_bb6_in_v2: [1+X₃]
MPRF for transition t₁₂₃: eval_serpent_1_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+1 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₅]
• eval_serpent_.critedge_in: [X₆]
• eval_serpent_0_v1: [X₆]
• eval_serpent_0_v2: [1+X₆]
• eval_serpent_1_v1: [X₅]
• eval_serpent_1_v2: [1+X₆]
• eval_serpent_6_v1: [X₇]
• eval_serpent_6_v2: [1+X₃]
• eval_serpent_7_v1: [X₇]
• eval_serpent_7_v2: [1+X₃]
• eval_serpent_bb1_in: [X₆]
• eval_serpent_bb1_in_v1: [1+X₆]
• eval_serpent_bb2_in_v1: [X₅]
• eval_serpent_bb2_in_v2: [1+X₆]
• eval_serpent_bb3_in_v1: [X₆]
• eval_serpent_bb3_in_v2: [X₆]
• eval_serpent_bb4_in: [2⋅X₇-X₆]
• eval_serpent_bb4_in_v1: [1+X₃]
• eval_serpent_bb5_in_v1: [X₇]
• eval_serpent_bb5_in_v2: [1+X₃]
• eval_serpent_bb6_in_v1: [X₇]
• eval_serpent_bb6_in_v2: [1+X₃]
MPRF for transition t₁₂₄: eval_serpent_1_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+1 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₅]
• eval_serpent_.critedge_in: [X₆]
• eval_serpent_0_v1: [X₅]
• eval_serpent_0_v2: [X₅]
• eval_serpent_1_v1: [X₆]
• eval_serpent_1_v2: [X₅]
• eval_serpent_6_v1: [2⋅X₆-X₇]
• eval_serpent_6_v2: [1+X₃]
• eval_serpent_7_v1: [X₇]
• eval_serpent_7_v2: [1+X₃]
• eval_serpent_bb1_in: [X₆]
• eval_serpent_bb1_in_v1: [X₅]
• eval_serpent_bb2_in_v1: [X₆]
• eval_serpent_bb2_in_v2: [X₅]
• eval_serpent_bb3_in_v1: [X₅]
• eval_serpent_bb3_in_v2: [X₅]
• eval_serpent_bb4_in: [X₆]
• eval_serpent_bb4_in_v1: [1+X₃]
• eval_serpent_bb5_in_v1: [X₆]
• eval_serpent_bb5_in_v2: [1+X₃]
• eval_serpent_bb6_in_v1: [X₁+X₇-1-X₄]
• eval_serpent_bb6_in_v2: [1+X₃]
MPRF for transition t₁₂₅: eval_serpent_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₃⋅X₃+3⋅X₃+1 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₅]
• eval_serpent_.critedge_in: [X₆]
• eval_serpent_0_v1: [X₆]
• eval_serpent_0_v2: [1+X₆]
• eval_serpent_1_v1: [X₆]
• eval_serpent_1_v2: [1+X₆]
• eval_serpent_6_v1: [X₇]
• eval_serpent_6_v2: [1+X₃]
• eval_serpent_7_v1: [X₇]
• eval_serpent_7_v2: [1+X₃]
• eval_serpent_bb1_in: [X₅]
• eval_serpent_bb1_in_v1: [1+X₆]
• eval_serpent_bb2_in_v1: [X₆]
• eval_serpent_bb2_in_v2: [1+X₆]
• eval_serpent_bb3_in_v1: [X₅]
• eval_serpent_bb3_in_v2: [1+X₆]
• eval_serpent_bb4_in: [X₇]
• eval_serpent_bb4_in_v1: [1+X₃]
• eval_serpent_bb5_in_v1: [X₇]
• eval_serpent_bb5_in_v2: [1+X₃]
• eval_serpent_bb6_in_v1: [X₇]
• eval_serpent_bb6_in_v2: [1+X₃]
MPRF for transition t₁₃₃: eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb5_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ X₃ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₃ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
3⋅X₃⋅X₃+4⋅X₃ {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [X₃]
• eval_serpent_.critedge_in: [X₃]
• eval_serpent_0_v1: [X₃]
• eval_serpent_0_v2: [X₃]
• eval_serpent_1_v1: [X₃]
• eval_serpent_1_v2: [X₃]
• eval_serpent_6_v1: [X₃]
• eval_serpent_6_v2: [2⋅X₃-X₇]
• eval_serpent_7_v1: [X₃]
• eval_serpent_7_v2: [2⋅X₃-X₇]
• eval_serpent_bb1_in: [X₃]
• eval_serpent_bb1_in_v1: [X₃]
• eval_serpent_bb2_in_v1: [X₃]
• eval_serpent_bb2_in_v2: [X₃]
• eval_serpent_bb3_in_v1: [X₃]
• eval_serpent_bb3_in_v2: [X₃]
• eval_serpent_bb4_in: [X₃]
• eval_serpent_bb4_in_v1: [1+2⋅X₃-X₇]
• eval_serpent_bb5_in_v1: [X₃]
• eval_serpent_bb5_in_v2: [2⋅X₃-X₇]
• eval_serpent_bb6_in_v1: [3⋅X₃]
• eval_serpent_bb6_in_v2: [1+X₁+2⋅X₃-X₄-X₇]
MPRF for transition t₁₃₄: eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₃ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
2⋅X₃+3 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [1]
• eval_serpent_.critedge_in: [1]
• eval_serpent_0_v1: [1]
• eval_serpent_0_v2: [1]
• eval_serpent_1_v1: [1]
• eval_serpent_1_v2: [1]
• eval_serpent_6_v1: [X₄-X₁]
• eval_serpent_6_v2: [2]
• eval_serpent_7_v1: [X₄-X₁]
• eval_serpent_7_v2: [2]
• eval_serpent_bb1_in: [1]
• eval_serpent_bb1_in_v1: [1]
• eval_serpent_bb2_in_v1: [1]
• eval_serpent_bb2_in_v2: [1]
• eval_serpent_bb3_in_v1: [1]
• eval_serpent_bb3_in_v2: [1]
• eval_serpent_bb4_in: [1]
• eval_serpent_bb4_in_v1: [2]
• eval_serpent_bb5_in_v1: [X₄-X₁]
• eval_serpent_bb5_in_v2: [2]
• eval_serpent_bb6_in_v1: [1]
• eval_serpent_bb6_in_v2: [2]
MPRF for transition t₁₃₅: eval_serpent_bb5_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_6_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [0]
• eval_serpent_.critedge_in: [0]
• eval_serpent_0_v1: [0]
• eval_serpent_0_v2: [0]
• eval_serpent_1_v1: [0]
• eval_serpent_1_v2: [0]
• eval_serpent_6_v1: [0]
• eval_serpent_6_v2: [X₃-X₇]
• eval_serpent_7_v1: [2⋅X₄-2-2⋅X₁]
• eval_serpent_7_v2: [X₃-X₇]
• eval_serpent_bb1_in: [0]
• eval_serpent_bb1_in_v1: [0]
• eval_serpent_bb2_in_v1: [0]
• eval_serpent_bb2_in_v2: [0]
• eval_serpent_bb3_in_v1: [0]
• eval_serpent_bb3_in_v2: [0]
• eval_serpent_bb4_in: [0]
• eval_serpent_bb4_in_v1: [1+X₃-X₇]
• eval_serpent_bb5_in_v1: [0]
• eval_serpent_bb5_in_v2: [1+X₃-X₇]
• eval_serpent_bb6_in_v1: [2⋅X₃]
• eval_serpent_bb6_in_v2: [X₃-X₇]
MPRF for transition t₁₃₆: eval_serpent_6_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_7_v2(X₀, X₁, nondef.1, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
4⋅X₃⋅X₃+6⋅X₃+2 {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [2⋅X₃-2]
• eval_serpent_.critedge_in: [2⋅X₃-2]
• eval_serpent_0_v1: [2⋅X₃-2]
• eval_serpent_0_v2: [2⋅X₃-2]
• eval_serpent_1_v1: [2⋅X₃+X₆-2-X₅]
• eval_serpent_1_v2: [2⋅X₃-2]
• eval_serpent_6_v1: [2⋅X₃-2]
• eval_serpent_6_v2: [3⋅X₃-1-X₇]
• eval_serpent_7_v1: [2⋅X₃-2]
• eval_serpent_7_v2: [3⋅X₃-2-X₇]
• eval_serpent_bb1_in: [2⋅X₃-2]
• eval_serpent_bb1_in_v1: [2⋅X₃-2]
• eval_serpent_bb2_in_v1: [2⋅X₃-2]
• eval_serpent_bb2_in_v2: [2⋅X₃-2]
• eval_serpent_bb3_in_v1: [2⋅X₃-2]
• eval_serpent_bb3_in_v2: [2⋅X₃-2]
• eval_serpent_bb4_in: [2⋅X₃-2]
• eval_serpent_bb4_in_v1: [3⋅X₃-1-X₇]
• eval_serpent_bb5_in_v1: [2⋅X₃-2]
• eval_serpent_bb5_in_v2: [3⋅X₃-1-X₇]
• eval_serpent_bb6_in_v1: [4⋅X₃]
• eval_serpent_bb6_in_v2: [3⋅X₃-2-X₇]
MPRF for transition t₁₃₇: eval_serpent_7_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb6_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
4⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [2⋅X₃]
• eval_serpent_.critedge_in: [2⋅X₃]
• eval_serpent_0_v1: [2⋅X₃]
• eval_serpent_0_v2: [2⋅X₃]
• eval_serpent_1_v1: [2⋅X₃]
• eval_serpent_1_v2: [2⋅X₃]
• eval_serpent_6_v1: [2⋅X₃]
• eval_serpent_6_v2: [1+3⋅X₃-X₇]
• eval_serpent_7_v1: [2⋅X₃]
• eval_serpent_7_v2: [1+3⋅X₃-X₇]
• eval_serpent_bb1_in: [2⋅X₃]
• eval_serpent_bb1_in_v1: [2⋅X₃]
• eval_serpent_bb2_in_v1: [2⋅X₃]
• eval_serpent_bb2_in_v2: [2⋅X₃]
• eval_serpent_bb3_in_v1: [2⋅X₃]
• eval_serpent_bb3_in_v2: [2⋅X₃]
• eval_serpent_bb4_in: [2⋅X₃]
• eval_serpent_bb4_in_v1: [1+3⋅X₃-X₇]
• eval_serpent_bb5_in_v1: [2⋅X₃]
• eval_serpent_bb5_in_v2: [1+3⋅X₃-X₇]
• eval_serpent_bb6_in_v1: [4⋅X₃]
• eval_serpent_bb6_in_v2: [3⋅X₃-X₇]
MPRF for transition t₁₃₈: eval_serpent_7_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: X₂ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₃+1 {O(n)}
MPRF:
• eval_serpent_.critedge1_in: [0]
• eval_serpent_.critedge_in: [0]
• eval_serpent_0_v1: [0]
• eval_serpent_0_v2: [0]
• eval_serpent_1_v1: [0]
• eval_serpent_1_v2: [0]
• eval_serpent_6_v1: [0]
• eval_serpent_6_v2: [1]
• eval_serpent_7_v1: [1+X₁-X₄]
• eval_serpent_7_v2: [1]
• eval_serpent_bb1_in: [0]
• eval_serpent_bb1_in_v1: [0]
• eval_serpent_bb2_in_v1: [0]
• eval_serpent_bb2_in_v2: [0]
• eval_serpent_bb3_in_v1: [0]
• eval_serpent_bb3_in_v2: [0]
• eval_serpent_bb4_in: [0]
• eval_serpent_bb4_in_v1: [1]
• eval_serpent_bb5_in_v1: [0]
• eval_serpent_bb5_in_v2: [1]
• eval_serpent_bb6_in_v1: [1+X₁-X₄]
• eval_serpent_bb6_in_v2: [1]
MPRF for transition t₁₃₉: eval_serpent_bb6_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇ of depth 1:
new bound:
4⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
MPRF:
• eval_serpent_.critedge1_in: [2⋅X₃]
• eval_serpent_.critedge_in: [2⋅X₃]
• eval_serpent_0_v1: [2⋅X₃]
• eval_serpent_0_v2: [2⋅X₃]
• eval_serpent_1_v1: [2⋅X₃]
• eval_serpent_1_v2: [2⋅X₃]
• eval_serpent_6_v1: [2⋅X₃+X₇-X₆]
• eval_serpent_6_v2: [1+3⋅X₃-X₇]
• eval_serpent_7_v1: [2⋅X₃+X₇-X₆]
• eval_serpent_7_v2: [1+3⋅X₃-X₇]
• eval_serpent_bb1_in: [2⋅X₃+X₆-X₅]
• eval_serpent_bb1_in_v1: [2⋅X₃]
• eval_serpent_bb2_in_v1: [2⋅X₃]
• eval_serpent_bb2_in_v2: [2⋅X₃]
• eval_serpent_bb3_in_v1: [2⋅X₃]
• eval_serpent_bb3_in_v2: [2⋅X₃]
• eval_serpent_bb4_in: [2⋅X₃]
• eval_serpent_bb4_in_v1: [1+3⋅X₃-X₇]
• eval_serpent_bb5_in_v1: [2⋅X₃+X₇-X₆]
• eval_serpent_bb5_in_v2: [1+3⋅X₃-X₇]
• eval_serpent_bb6_in_v1: [4⋅X₃]
• eval_serpent_bb6_in_v2: [1+3⋅X₃-X₇]
CFR: Improvement to new bound with the following program:
method: PartialEvaluation new bound:
O(n^2)
cfr-program:
Start: eval_serpent_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars: nondef.0, nondef.1
Locations: eval_serpent_.critedge1_in, eval_serpent_.critedge_in, eval_serpent_0_v1, eval_serpent_0_v2, eval_serpent_1_v1, eval_serpent_1_v2, eval_serpent_6_v1, eval_serpent_6_v2, eval_serpent_7_v1, eval_serpent_7_v2, eval_serpent_bb0_in, eval_serpent_bb1_in, eval_serpent_bb1_in_v1, eval_serpent_bb2_in_v1, eval_serpent_bb2_in_v2, eval_serpent_bb3_in_v1, eval_serpent_bb3_in_v2, eval_serpent_bb4_in, eval_serpent_bb4_in_v1, eval_serpent_bb5_in_v1, eval_serpent_bb5_in_v2, eval_serpent_bb6_in_v1, eval_serpent_bb6_in_v2, eval_serpent_bb7_in, eval_serpent_start, eval_serpent_stop
Transitions:
t₃: eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅, X₇) :|: 0 ≤ X₄ ∧ 0 ≤ 1+X₅ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅
t₄: eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₄ ≤ 0 ∧ 0 ≤ 1+X₅ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅
t₁₃: eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in(X₀, X₄-1, X₂, X₃, X₄, X₅, X₆, X₆) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₅
t₁₁₅: eval_serpent_0_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_1_v1(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₂₂: eval_serpent_0_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_1_v2(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₁₇: eval_serpent_1_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₁₆: eval_serpent_1_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₂₄: eval_serpent_1_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₂₃: eval_serpent_1_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₂₉: eval_serpent_6_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_7_v1(X₀, X₁, nondef.1, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₃₆: eval_serpent_6_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_7_v2(X₀, X₁, nondef.1, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₃₁: eval_serpent_7_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: X₂ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₃₀: eval_serpent_7_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb6_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₃₈: eval_serpent_7_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: X₂ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₃₇: eval_serpent_7_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb6_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₂: eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₃, X₃, X₆, X₇) :|: 1 ≤ X₃
t₁: eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₃ ≤ 0
t₆: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₄+X₅ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₁₃: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₄+X₅ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₁₂: eval_serpent_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₄+X₅ ∧ 0 ≤ 1+X₄+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₂₀: eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1+X₆ ≤ 0 ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ X₆ ≤ X₅
t₁₁₉: eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ X₆ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₆ ∧ 0 ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ X₆ ≤ X₅
t₁₁₄: eval_serpent_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_0_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₂₁: eval_serpent_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_0_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₁₈: eval_serpent_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₂₅: eval_serpent_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb1_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆-1, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃+X₅ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ 0 ≤ X₆
t₁₅: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₂₇: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₂₆: eval_serpent_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ X₃ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₃₄: eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_.critedge1_in(X₀, X₁, X₂, X₃, X₁, X₇, X₆, X₇) :|: 1+X₃ ≤ X₇ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₃ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₃₃: eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb5_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₇ ≤ X₃ ∧ 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ X₇ ≤ 1+X₃ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₂₈: eval_serpent_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_6_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₃₅: eval_serpent_bb5_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_6_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₁₃₂: eval_serpent_bb6_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₇ ≤ X₅ ∧ X₇ ≤ X₆ ∧ X₆ ≤ X₇
t₁₃₉: eval_serpent_bb6_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇) :|: 0 ≤ 2+X₅+X₆ ∧ 0 ≤ 2+X₅+X₇ ∧ 0 ≤ 2+X₆+X₇ ∧ X₄ ≤ 1+X₁ ∧ 0 ≤ 1+X₅ ∧ 0 ≤ 1+X₅+X₇ ∧ 0 ≤ 1+X₆ ∧ 0 ≤ 1+X₆+X₇ ∧ 0 ≤ 1+X₇ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₇ ∧ 1 ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₃+X₇ ∧ 1+X₆ ≤ X₇ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₂+X₇ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₃+X₇ ∧ X₇ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₇ ∧ 0 ≤ X₇
t₂₂: eval_serpent_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₀: eval_serpent_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_serpent_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
All Bounds
Timebounds
Overall timebound:26⋅X₃⋅X₃+71⋅X₃+38 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₃+1 {O(n)}
t₄: 1 {O(1)}
t₆: X₃+1 {O(n)}
t₁₃: X₃+1 {O(n)}
t₁₅: X₃+1 {O(n)}
t₂₂: 1 {O(1)}
t₁₁₂: X₃+1 {O(n)}
t₁₁₃: X₃+1 {O(n)}
t₁₁₄: X₃+1 {O(n)}
t₁₁₅: X₃+1 {O(n)}
t₁₁₆: X₃+1 {O(n)}
t₁₁₇: X₃+1 {O(n)}
t₁₁₈: X₃+1 {O(n)}
t₁₁₉: X₃⋅X₃+4⋅X₃+3 {O(n^2)}
t₁₂₀: 2⋅X₃⋅X₃+5⋅X₃+1 {O(n^2)}
t₁₂₁: 2⋅X₃⋅X₃+5⋅X₃+1 {O(n^2)}
t₁₂₂: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₃: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₄: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₅: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₆: X₃+1 {O(n)}
t₁₂₇: X₃+1 {O(n)}
t₁₂₈: X₃+1 {O(n)}
t₁₂₉: X₃+1 {O(n)}
t₁₃₀: X₃+1 {O(n)}
t₁₃₁: X₃+1 {O(n)}
t₁₃₂: X₃+1 {O(n)}
t₁₃₃: 3⋅X₃⋅X₃+4⋅X₃ {O(n^2)}
t₁₃₄: 2⋅X₃+3 {O(n)}
t₁₃₅: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₃₆: 4⋅X₃⋅X₃+6⋅X₃+2 {O(n^2)}
t₁₃₇: 4⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₃₈: X₃+1 {O(n)}
t₁₃₉: 4⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
Costbounds
Overall costbound: 26⋅X₃⋅X₃+71⋅X₃+38 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₃+1 {O(n)}
t₄: 1 {O(1)}
t₆: X₃+1 {O(n)}
t₁₃: X₃+1 {O(n)}
t₁₅: X₃+1 {O(n)}
t₂₂: 1 {O(1)}
t₁₁₂: X₃+1 {O(n)}
t₁₁₃: X₃+1 {O(n)}
t₁₁₄: X₃+1 {O(n)}
t₁₁₅: X₃+1 {O(n)}
t₁₁₆: X₃+1 {O(n)}
t₁₁₇: X₃+1 {O(n)}
t₁₁₈: X₃+1 {O(n)}
t₁₁₉: X₃⋅X₃+4⋅X₃+3 {O(n^2)}
t₁₂₀: 2⋅X₃⋅X₃+5⋅X₃+1 {O(n^2)}
t₁₂₁: 2⋅X₃⋅X₃+5⋅X₃+1 {O(n^2)}
t₁₂₂: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₃: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₄: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₅: X₃⋅X₃+3⋅X₃+1 {O(n^2)}
t₁₂₆: X₃+1 {O(n)}
t₁₂₇: X₃+1 {O(n)}
t₁₂₈: X₃+1 {O(n)}
t₁₂₉: X₃+1 {O(n)}
t₁₃₀: X₃+1 {O(n)}
t₁₃₁: X₃+1 {O(n)}
t₁₃₂: X₃+1 {O(n)}
t₁₃₃: 3⋅X₃⋅X₃+4⋅X₃ {O(n^2)}
t₁₃₄: 2⋅X₃+3 {O(n)}
t₁₃₅: 2⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₃₆: 4⋅X₃⋅X₃+6⋅X₃+2 {O(n^2)}
t₁₃₇: 4⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
t₁₃₈: X₃+1 {O(n)}
t₁₃₉: 4⋅X₃⋅X₃+6⋅X₃ {O(n^2)}
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: X₃ {O(n)}
t₂, X₅: X₃ {O(n)}
t₂, X₆: X₆ {O(n)}
t₂, X₇: X₇ {O(n)}
t₃, X₁: 6⋅X₃+X₁+3 {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: 2⋅X₃+1 {O(n)}
t₃, X₅: 2⋅X₃⋅X₃+9⋅X₃+8 {O(n^2)}
t₃, X₆: X₃⋅X₃+4⋅X₃+4 {O(n^2)}
t₃, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₄, X₁: 6⋅X₃+3 {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₄, X₄: 4⋅X₃+2 {O(n)}
t₄, X₅: 2⋅X₃⋅X₃+8⋅X₃+8 {O(n^2)}
t₄, X₆: 3⋅X₃⋅X₃+12⋅X₃+15 {O(n^2)}
t₄, X₇: 3⋅X₃⋅X₃+12⋅X₃+12 {O(n^2)}
t₆, X₁: 6⋅X₃+X₁+3 {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: 2⋅X₃+1 {O(n)}
t₆, X₅: 1 {O(1)}
t₆, X₆: 1 {O(1)}
t₆, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₃, X₁: 2⋅X₃+1 {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: 4⋅X₃+2 {O(n)}
t₁₃, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃, X₇: X₃⋅X₃+4⋅X₃+4 {O(n^2)}
t₁₅, X₁: 4⋅X₃+2 {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: 2⋅X₃+1 {O(n)}
t₁₅, X₅: X₃⋅X₃+4⋅X₃+4 {O(n^2)}
t₁₅, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₅, X₇: X₃⋅X₃+4⋅X₃+4 {O(n^2)}
t₂₂, X₁: 6⋅X₃+X₁+3 {O(n)}
t₂₂, X₃: 3⋅X₃ {O(n)}
t₂₂, X₄: 4⋅X₃+X₄+2 {O(n)}
t₂₂, X₅: 2⋅X₃⋅X₃+8⋅X₃+X₅+8 {O(n^2)}
t₂₂, X₆: 3⋅X₃⋅X₃+12⋅X₃+X₆+15 {O(n^2)}
t₂₂, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₂, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₂, X₃: X₃ {O(n)}
t₁₁₂, X₄: 2⋅X₃+1 {O(n)}
t₁₁₂, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₂, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₂, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₃, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₃, X₃: X₃ {O(n)}
t₁₁₃, X₄: 2⋅X₃+1 {O(n)}
t₁₁₃, X₅: 1 {O(1)}
t₁₁₃, X₆: 1 {O(1)}
t₁₁₃, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₄, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₄, X₃: X₃ {O(n)}
t₁₁₄, X₄: 2⋅X₃+1 {O(n)}
t₁₁₄, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₄, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₄, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₅, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₅, X₃: X₃ {O(n)}
t₁₁₅, X₄: 2⋅X₃+1 {O(n)}
t₁₁₅, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₅, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₅, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₆, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₆, X₃: X₃ {O(n)}
t₁₁₆, X₄: 2⋅X₃+1 {O(n)}
t₁₁₆, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₆, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₆, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₇, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₇, X₃: X₃ {O(n)}
t₁₁₇, X₄: 2⋅X₃+1 {O(n)}
t₁₁₇, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₇, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₇, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₈, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₈, X₃: X₃ {O(n)}
t₁₁₈, X₄: 2⋅X₃+1 {O(n)}
t₁₁₈, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₈, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₈, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₁₉, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₁₉, X₃: X₃ {O(n)}
t₁₁₉, X₄: 2⋅X₃+1 {O(n)}
t₁₁₉, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₉, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₁₉, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₂₀, X₁: 12⋅X₃+2⋅X₁+6 {O(n)}
t₁₂₀, X₃: X₃ {O(n)}
t₁₂₀, X₄: 2⋅X₃+1 {O(n)}
t₁₂₀, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₀, X₆: 1 {O(1)}
t₁₂₀, X₇: 6⋅X₃⋅X₃+2⋅X₇+24⋅X₃+24 {O(n^2)}
t₁₂₁, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₂₁, X₃: X₃ {O(n)}
t₁₂₁, X₄: 2⋅X₃+1 {O(n)}
t₁₂₁, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₁, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₁, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₂₂, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₂₂, X₃: X₃ {O(n)}
t₁₂₂, X₄: 2⋅X₃+1 {O(n)}
t₁₂₂, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₂, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₂, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₂₃, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₂₃, X₃: X₃ {O(n)}
t₁₂₃, X₄: 2⋅X₃+1 {O(n)}
t₁₂₃, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₃, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₃, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₂₄, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₂₄, X₃: X₃ {O(n)}
t₁₂₄, X₄: 2⋅X₃+1 {O(n)}
t₁₂₄, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₄, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₄, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₂₅, X₁: 6⋅X₃+X₁+3 {O(n)}
t₁₂₅, X₃: X₃ {O(n)}
t₁₂₅, X₄: 2⋅X₃+1 {O(n)}
t₁₂₅, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₅, X₆: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₅, X₇: 3⋅X₃⋅X₃+12⋅X₃+X₇+12 {O(n^2)}
t₁₂₆, X₁: 2⋅X₃+1 {O(n)}
t₁₂₆, X₃: X₃ {O(n)}
t₁₂₆, X₄: 4⋅X₃+2 {O(n)}
t₁₂₆, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₆, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₂₆, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₇, X₁: 2⋅X₃+1 {O(n)}
t₁₂₇, X₃: X₃ {O(n)}
t₁₂₇, X₄: 2⋅X₃+1 {O(n)}
t₁₂₇, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₇, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₂₇, X₇: X₃⋅X₃+4⋅X₃+4 {O(n^2)}
t₁₂₈, X₁: 2⋅X₃+1 {O(n)}
t₁₂₈, X₃: X₃ {O(n)}
t₁₂₈, X₄: 4⋅X₃+2 {O(n)}
t₁₂₈, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₈, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₂₈, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₉, X₁: 2⋅X₃+1 {O(n)}
t₁₂₉, X₃: X₃ {O(n)}
t₁₂₉, X₄: 4⋅X₃+2 {O(n)}
t₁₂₉, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₂₉, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₂₉, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₀, X₁: 2⋅X₃+1 {O(n)}
t₁₃₀, X₃: X₃ {O(n)}
t₁₃₀, X₄: 4⋅X₃+2 {O(n)}
t₁₃₀, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₀, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₀, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₁, X₁: 2⋅X₃+1 {O(n)}
t₁₃₁, X₃: X₃ {O(n)}
t₁₃₁, X₄: 2⋅X₃+1 {O(n)}
t₁₃₁, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₁, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₁, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₂, X₁: 2⋅X₃+1 {O(n)}
t₁₃₂, X₃: X₃ {O(n)}
t₁₃₂, X₄: 4⋅X₃+2 {O(n)}
t₁₃₂, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₂, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₂, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₃, X₁: 2⋅X₃+1 {O(n)}
t₁₃₃, X₃: X₃ {O(n)}
t₁₃₃, X₄: 4⋅X₃+2 {O(n)}
t₁₃₃, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₃, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₃, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₄, X₁: 4⋅X₃+2 {O(n)}
t₁₃₄, X₃: X₃ {O(n)}
t₁₃₄, X₄: 2⋅X₃+1 {O(n)}
t₁₃₄, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₄, X₆: 2⋅X₃⋅X₃+8⋅X₃+10 {O(n^2)}
t₁₃₄, X₇: 8⋅X₃⋅X₃+16⋅X₃+14 {O(n^2)}
t₁₃₅, X₁: 2⋅X₃+1 {O(n)}
t₁₃₅, X₃: X₃ {O(n)}
t₁₃₅, X₄: 4⋅X₃+2 {O(n)}
t₁₃₅, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₅, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₅, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₆, X₁: 2⋅X₃+1 {O(n)}
t₁₃₆, X₃: X₃ {O(n)}
t₁₃₆, X₄: 4⋅X₃+2 {O(n)}
t₁₃₆, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₆, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₆, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₇, X₁: 2⋅X₃+1 {O(n)}
t₁₃₇, X₃: X₃ {O(n)}
t₁₃₇, X₄: 4⋅X₃+2 {O(n)}
t₁₃₇, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₇, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₇, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₈, X₁: 2⋅X₃+1 {O(n)}
t₁₃₈, X₃: X₃ {O(n)}
t₁₃₈, X₄: 2⋅X₃+1 {O(n)}
t₁₃₈, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₈, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₈, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₉, X₁: 2⋅X₃+1 {O(n)}
t₁₃₉, X₃: X₃ {O(n)}
t₁₃₉, X₄: 4⋅X₃+2 {O(n)}
t₁₃₉, X₅: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}
t₁₃₉, X₆: X₃⋅X₃+4⋅X₃+5 {O(n^2)}
t₁₃₉, X₇: 4⋅X₃⋅X₃+8⋅X₃+7 {O(n^2)}