Initial Problem
Start: eval_Loopus2015_original_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef.0, nondef.1
Locations: eval_Loopus2015_original_1, eval_Loopus2015_original_2, eval_Loopus2015_original_3, eval_Loopus2015_original_4, eval_Loopus2015_original_bb0_in, eval_Loopus2015_original_bb1_in, eval_Loopus2015_original_bb2_in, eval_Loopus2015_original_bb3_in, eval_Loopus2015_original_bb4_in, eval_Loopus2015_original_bb5_in, eval_Loopus2015_original_start, eval_Loopus2015_original_stop
Transitions:
t₆: eval_Loopus2015_original_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_2(X₀, X₁, nondef.0, X₃, X₄, X₅, X₆, X₇, X₈)
t₇: eval_Loopus2015_original_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_3(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₂
t₈: eval_Loopus2015_original_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_3(X₅, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ ≤ 0
t₁₀: eval_Loopus2015_original_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_4(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈)
t₁₂: eval_Loopus2015_original_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₀, X₁, X₇, X₈) :|: X₃ ≤ 0
t₁₁: eval_Loopus2015_original_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₄, X₈) :|: 1 ≤ X₃
t₁: eval_Loopus2015_original_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, 0, 0, 0, X₇, X₈)
t₂: eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₆ ≤ X₈
t₃: eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₈ ≤ X₆
t₄: eval_Loopus2015_original_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_1(X₀, 1+X₆, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₄: eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₁, X₁, X₁, X₇, X₈) :|: X₀ ≤ X₇
t₁₃: eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₇ ≤ X₀
t₁₅: eval_Loopus2015_original_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇, X₈)
t₁₆: eval_Loopus2015_original_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₀: eval_Loopus2015_original_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
Preprocessing
Found invariant 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₄ for location eval_Loopus2015_original_bb1_in
Found invariant 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₄ for location eval_Loopus2015_original_bb2_in
Found invariant 1 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1+X₇ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 2 ≤ X₃+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 2 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ X₇ ≤ X₆ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_Loopus2015_original_bb4_in
Found invariant 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁ for location eval_Loopus2015_original_1
Found invariant 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁ for location eval_Loopus2015_original_2
Found invariant X₈ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₄ for location eval_Loopus2015_original_bb5_in
Found invariant X₈ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 0 ≤ X₄ for location eval_Loopus2015_original_stop
Found invariant 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 1 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2015_original_4
Found invariant 1 ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 1 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2015_original_3
Found invariant 1 ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ X₇ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 2 ≤ X₃+X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 1 ≤ X₀+X₈ ∧ X₀ ≤ X₈ ∧ X₇ ≤ 1+X₆ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 0 ≤ X₇ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₅+X₇ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₇ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₁+X₇ ∧ 0 ≤ X₀+X₇ ∧ 1+X₆ ≤ X₁ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₁+X₆ ∧ X₁ ≤ 1+X₆ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ 1+X₆ ∧ 1+X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_Loopus2015_original_bb3_in
Problem after Preprocessing
Start: eval_Loopus2015_original_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef.0, nondef.1
Locations: eval_Loopus2015_original_1, eval_Loopus2015_original_2, eval_Loopus2015_original_3, eval_Loopus2015_original_4, eval_Loopus2015_original_bb0_in, eval_Loopus2015_original_bb1_in, eval_Loopus2015_original_bb2_in, eval_Loopus2015_original_bb3_in, eval_Loopus2015_original_bb4_in, eval_Loopus2015_original_bb5_in, eval_Loopus2015_original_start, eval_Loopus2015_original_stop
Transitions:
t₆: eval_Loopus2015_original_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_2(X₀, X₁, nondef.0, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₇: eval_Loopus2015_original_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_3(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₂ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₈: eval_Loopus2015_original_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_3(X₅, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ ≤ 0 ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₀: eval_Loopus2015_original_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_4(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈) :|: X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₂: eval_Loopus2015_original_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₀, X₁, X₇, X₈) :|: X₃ ≤ 0 ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₁: eval_Loopus2015_original_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₄, X₈) :|: 1 ≤ X₃ ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁: eval_Loopus2015_original_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, 0, 0, 0, X₇, X₈)
t₂: eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₆ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₃: eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₈ ≤ X₆ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₄: eval_Loopus2015_original_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_1(X₀, 1+X₆, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆
t₁₄: eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₁, X₁, X₁, X₇, X₈) :|: X₀ ≤ X₇ ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₇ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₃+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₇ ∧ X₇ ≤ X₈
t₁₃: eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₇ ≤ X₀ ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₇ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₃+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₇ ∧ X₇ ≤ X₈
t₁₅: eval_Loopus2015_original_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇, X₈) :|: X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1+X₇ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1+X₇ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1+X₇ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₈ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇
t₁₆: eval_Loopus2015_original_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ ∧ X₈ ≤ X₆
t₀: eval_Loopus2015_original_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
MPRF for transition t₂: eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₆ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [X₈-1-X₆]
• eval_Loopus2015_original_2: [X₈-1-X₆]
• eval_Loopus2015_original_3: [X₈-X₁]
• eval_Loopus2015_original_4: [X₈-1-X₆]
• eval_Loopus2015_original_bb1_in: [X₈-X₆]
• eval_Loopus2015_original_bb2_in: [X₈-1-X₆]
• eval_Loopus2015_original_bb3_in: [X₈-1-X₆]
• eval_Loopus2015_original_bb4_in: [X₈-1-X₆]
MPRF for transition t₄: eval_Loopus2015_original_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_1(X₀, 1+X₆, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [X₈-X₁]
• eval_Loopus2015_original_2: [X₈-1-X₆]
• eval_Loopus2015_original_3: [X₈-X₁]
• eval_Loopus2015_original_4: [X₈-X₁]
• eval_Loopus2015_original_bb1_in: [X₈-X₆]
• eval_Loopus2015_original_bb2_in: [X₈-X₆]
• eval_Loopus2015_original_bb3_in: [X₈-X₁]
• eval_Loopus2015_original_bb4_in: [X₈-X₁]
MPRF for transition t₆: eval_Loopus2015_original_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_2(X₀, X₁, nondef.0, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 1+X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈+1 {O(n)}
MPRF:
• eval_Loopus2015_original_1: [1+X₈-X₆]
• eval_Loopus2015_original_2: [1+X₈-X₁]
• eval_Loopus2015_original_3: [1+X₈-X₁]
• eval_Loopus2015_original_4: [X₈-X₆]
• eval_Loopus2015_original_bb1_in: [1+X₈-X₆]
• eval_Loopus2015_original_bb2_in: [1+X₈-X₆]
• eval_Loopus2015_original_bb3_in: [X₈-X₆]
• eval_Loopus2015_original_bb4_in: [X₈-X₆]
MPRF for transition t₇: eval_Loopus2015_original_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_3(X₁, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₂ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [1+X₈-X₁]
• eval_Loopus2015_original_2: [X₈-X₆]
• eval_Loopus2015_original_3: [X₈-1-X₆]
• eval_Loopus2015_original_4: [X₈-1-X₆]
• eval_Loopus2015_original_bb1_in: [X₈-X₆]
• eval_Loopus2015_original_bb2_in: [X₈-X₆]
• eval_Loopus2015_original_bb3_in: [X₈-1-X₆]
• eval_Loopus2015_original_bb4_in: [X₈-1-X₆]
MPRF for transition t₈: eval_Loopus2015_original_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_3(X₅, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ ≤ 0 ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈+1 {O(n)}
MPRF:
• eval_Loopus2015_original_1: [1+X₈-X₆]
• eval_Loopus2015_original_2: [1+X₈-X₆]
• eval_Loopus2015_original_3: [X₈-X₆]
• eval_Loopus2015_original_4: [1+X₈-X₁]
• eval_Loopus2015_original_bb1_in: [1+X₈-X₆]
• eval_Loopus2015_original_bb2_in: [1+X₈-X₆]
• eval_Loopus2015_original_bb3_in: [X₈-X₆]
• eval_Loopus2015_original_bb4_in: [X₈-X₆]
MPRF for transition t₁₀: eval_Loopus2015_original_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_4(X₀, X₁, X₂, nondef.1, X₄, X₅, X₆, X₇, X₈) :|: X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [X₈-X₆]
• eval_Loopus2015_original_2: [1+X₈-X₁]
• eval_Loopus2015_original_3: [1+X₈-X₁]
• eval_Loopus2015_original_4: [X₈-X₁]
• eval_Loopus2015_original_bb1_in: [X₈-X₆]
• eval_Loopus2015_original_bb2_in: [X₈-X₆]
• eval_Loopus2015_original_bb3_in: [X₈-X₁]
• eval_Loopus2015_original_bb4_in: [X₈-X₁]
MPRF for transition t₁₁: eval_Loopus2015_original_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₄, X₈) :|: 1 ≤ X₃ ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [X₈-X₅]
• eval_Loopus2015_original_2: [X₈-X₅]
• eval_Loopus2015_original_3: [X₈-X₅]
• eval_Loopus2015_original_4: [X₈-X₅]
• eval_Loopus2015_original_bb1_in: [X₈-X₅]
• eval_Loopus2015_original_bb2_in: [X₈-X₅]
• eval_Loopus2015_original_bb3_in: [X₈-X₁]
• eval_Loopus2015_original_bb4_in: [X₈-X₁]
MPRF for transition t₁₂: eval_Loopus2015_original_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₄, X₀, X₁, X₇, X₈) :|: X₃ ≤ 0 ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [1+X₈-X₁]
• eval_Loopus2015_original_2: [1+X₈-X₁]
• eval_Loopus2015_original_3: [1+X₈-X₁]
• eval_Loopus2015_original_4: [X₈-X₆]
• eval_Loopus2015_original_bb1_in: [X₈-X₆]
• eval_Loopus2015_original_bb2_in: [X₈-X₆]
• eval_Loopus2015_original_bb3_in: [X₈-X₆]
• eval_Loopus2015_original_bb4_in: [X₈-X₆]
MPRF for transition t₁₃: eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₇ ≤ X₀ ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₇ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₃+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₇ ∧ X₇ ≤ X₈ of depth 1:
new bound:
X₈+1 {O(n)}
MPRF:
• eval_Loopus2015_original_1: [1+X₈-X₄]
• eval_Loopus2015_original_2: [1+X₈-X₄]
• eval_Loopus2015_original_3: [1+X₈-X₄]
• eval_Loopus2015_original_4: [X₁+X₈-X₄-X₆]
• eval_Loopus2015_original_bb1_in: [1+X₈-X₄]
• eval_Loopus2015_original_bb2_in: [1+X₈-X₄]
• eval_Loopus2015_original_bb3_in: [1+X₈-X₇]
• eval_Loopus2015_original_bb4_in: [X₈-X₇]
MPRF for transition t₁₄: eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb1_in(X₀, X₁, X₂, X₃, X₁, X₁, X₁, X₇, X₈) :|: X₀ ≤ X₇ ∧ X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ X₇ ≤ 1+X₆ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₈ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₃+X₈ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₀+X₆ ∧ 0 ≤ X₀+X₇ ∧ X₇ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ 0 ≤ X₇ ∧ X₇ ≤ X₈ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [X₈-X₅]
• eval_Loopus2015_original_2: [X₈-X₅]
• eval_Loopus2015_original_3: [X₈-X₅]
• eval_Loopus2015_original_4: [X₈-X₅]
• eval_Loopus2015_original_bb1_in: [X₈-X₅]
• eval_Loopus2015_original_bb2_in: [X₈-X₅]
• eval_Loopus2015_original_bb3_in: [X₈-X₅]
• eval_Loopus2015_original_bb4_in: [X₈-X₅]
MPRF for transition t₁₅: eval_Loopus2015_original_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_Loopus2015_original_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, 1+X₇, X₈) :|: X₀ ≤ 1+X₆ ∧ X₁ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1 ≤ X₀+X₇ ∧ 1+X₇ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₁+X₆ ∧ 1+X₆ ≤ X₁ ∧ 1 ≤ X₁+X₇ ∧ 1+X₇ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₃+X₇ ∧ 1 ≤ X₄+X₈ ∧ 1+X₄ ≤ X₈ ∧ 1 ≤ X₅+X₈ ∧ 1+X₅ ≤ X₈ ∧ 1 ≤ X₆+X₈ ∧ 1+X₆ ≤ X₈ ∧ 1 ≤ X₇+X₈ ∧ 1+X₇ ≤ X₈ ∧ 1 ≤ X₈ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₈ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₈ ∧ 2 ≤ X₃+X₈ ∧ X₅ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₈ ∧ X₁ ≤ X₈ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₄+X₆ ∧ 0 ≤ X₄+X₇ ∧ X₄ ≤ X₅ ∧ X₄ ≤ X₆ ∧ X₄ ≤ X₇ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ 0 ≤ X₅+X₇ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ ∧ 0 ≤ X₆+X₇ ∧ X₇ ≤ X₆ ∧ 0 ≤ X₇ of depth 1:
new bound:
X₈ {O(n)}
MPRF:
• eval_Loopus2015_original_1: [X₈-X₄]
• eval_Loopus2015_original_2: [X₈-X₄]
• eval_Loopus2015_original_3: [X₈-X₄]
• eval_Loopus2015_original_4: [X₈-X₄]
• eval_Loopus2015_original_bb1_in: [X₈-X₄]
• eval_Loopus2015_original_bb2_in: [X₈-X₄]
• eval_Loopus2015_original_bb3_in: [X₈-X₇]
• eval_Loopus2015_original_bb4_in: [X₈-X₇]
All Bounds
Timebounds
Overall timebound:11⋅X₈+7 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₈ {O(n)}
t₃: 1 {O(1)}
t₄: X₈ {O(n)}
t₆: X₈+1 {O(n)}
t₇: X₈ {O(n)}
t₈: X₈+1 {O(n)}
t₁₀: X₈ {O(n)}
t₁₁: X₈ {O(n)}
t₁₂: X₈ {O(n)}
t₁₃: X₈+1 {O(n)}
t₁₄: X₈ {O(n)}
t₁₅: X₈ {O(n)}
t₁₆: 1 {O(1)}
Costbounds
Overall costbound: 11⋅X₈+7 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₈ {O(n)}
t₃: 1 {O(1)}
t₄: X₈ {O(n)}
t₆: X₈+1 {O(n)}
t₇: X₈ {O(n)}
t₈: X₈+1 {O(n)}
t₁₀: X₈ {O(n)}
t₁₁: X₈ {O(n)}
t₁₂: X₈ {O(n)}
t₁₃: X₈+1 {O(n)}
t₁₄: X₈ {O(n)}
t₁₅: X₈ {O(n)}
t₁₆: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₀, X₇: X₇ {O(n)}
t₀, X₈: X₈ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: 0 {O(1)}
t₁, X₅: 0 {O(1)}
t₁, X₆: 0 {O(1)}
t₁, X₇: X₇ {O(n)}
t₁, X₈: X₈ {O(n)}
t₂, X₀: 9⋅X₈+X₀ {O(n)}
t₂, X₁: 3⋅X₈+X₁ {O(n)}
t₂, X₄: 2⋅X₈ {O(n)}
t₂, X₅: 3⋅X₈ {O(n)}
t₂, X₆: X₈ {O(n)}
t₂, X₇: 5⋅X₈+X₇ {O(n)}
t₂, X₈: X₈ {O(n)}
t₃, X₀: 9⋅X₈+X₀ {O(n)}
t₃, X₁: 3⋅X₈+X₁ {O(n)}
t₃, X₄: 4⋅X₈ {O(n)}
t₃, X₅: 5⋅X₈ {O(n)}
t₃, X₆: 2⋅X₈ {O(n)}
t₃, X₇: 10⋅X₈+2⋅X₇ {O(n)}
t₃, X₈: 3⋅X₈ {O(n)}
t₄, X₀: 9⋅X₈+X₀ {O(n)}
t₄, X₁: X₈ {O(n)}
t₄, X₄: 2⋅X₈ {O(n)}
t₄, X₅: 3⋅X₈ {O(n)}
t₄, X₆: X₈ {O(n)}
t₄, X₇: 5⋅X₈+X₇ {O(n)}
t₄, X₈: X₈ {O(n)}
t₆, X₀: 9⋅X₈+X₀ {O(n)}
t₆, X₁: X₈ {O(n)}
t₆, X₄: 2⋅X₈ {O(n)}
t₆, X₅: 3⋅X₈ {O(n)}
t₆, X₆: X₈ {O(n)}
t₆, X₇: 5⋅X₈+X₇ {O(n)}
t₆, X₈: X₈ {O(n)}
t₇, X₀: X₈ {O(n)}
t₇, X₁: X₈ {O(n)}
t₇, X₄: 2⋅X₈ {O(n)}
t₇, X₅: 3⋅X₈ {O(n)}
t₇, X₆: X₈ {O(n)}
t₇, X₇: 5⋅X₈+X₇ {O(n)}
t₇, X₈: X₈ {O(n)}
t₈, X₀: 3⋅X₈ {O(n)}
t₈, X₁: X₈ {O(n)}
t₈, X₄: 2⋅X₈ {O(n)}
t₈, X₅: 3⋅X₈ {O(n)}
t₈, X₆: X₈ {O(n)}
t₈, X₇: 5⋅X₈+X₇ {O(n)}
t₈, X₈: X₈ {O(n)}
t₁₀, X₀: 3⋅X₈ {O(n)}
t₁₀, X₁: X₈ {O(n)}
t₁₀, X₄: 2⋅X₈ {O(n)}
t₁₀, X₅: 6⋅X₈ {O(n)}
t₁₀, X₆: 2⋅X₈ {O(n)}
t₁₀, X₇: 5⋅X₈+X₇ {O(n)}
t₁₀, X₈: X₈ {O(n)}
t₁₁, X₀: 3⋅X₈ {O(n)}
t₁₁, X₁: X₈ {O(n)}
t₁₁, X₄: 2⋅X₈ {O(n)}
t₁₁, X₅: 6⋅X₈ {O(n)}
t₁₁, X₆: 2⋅X₈ {O(n)}
t₁₁, X₇: 2⋅X₈ {O(n)}
t₁₁, X₈: X₈ {O(n)}
t₁₂, X₀: 3⋅X₈ {O(n)}
t₁₂, X₁: X₈ {O(n)}
t₁₂, X₄: 2⋅X₈ {O(n)}
t₁₂, X₅: 3⋅X₈ {O(n)}
t₁₂, X₆: X₈ {O(n)}
t₁₂, X₇: 5⋅X₈+X₇ {O(n)}
t₁₂, X₈: X₈ {O(n)}
t₁₃, X₀: 3⋅X₈ {O(n)}
t₁₃, X₁: X₈ {O(n)}
t₁₃, X₄: 2⋅X₈ {O(n)}
t₁₃, X₅: 6⋅X₈ {O(n)}
t₁₃, X₆: 2⋅X₈ {O(n)}
t₁₃, X₇: 3⋅X₈ {O(n)}
t₁₃, X₈: X₈ {O(n)}
t₁₄, X₀: 6⋅X₈ {O(n)}
t₁₄, X₁: 2⋅X₈ {O(n)}
t₁₄, X₄: 2⋅X₈ {O(n)}
t₁₄, X₅: 2⋅X₈ {O(n)}
t₁₄, X₆: X₈ {O(n)}
t₁₄, X₇: 5⋅X₈ {O(n)}
t₁₄, X₈: X₈ {O(n)}
t₁₅, X₀: 3⋅X₈ {O(n)}
t₁₅, X₁: X₈ {O(n)}
t₁₅, X₄: 2⋅X₈ {O(n)}
t₁₅, X₅: 6⋅X₈ {O(n)}
t₁₅, X₆: 2⋅X₈ {O(n)}
t₁₅, X₇: 3⋅X₈ {O(n)}
t₁₅, X₈: X₈ {O(n)}
t₁₆, X₀: 9⋅X₈+X₀ {O(n)}
t₁₆, X₁: 3⋅X₈+X₁ {O(n)}
t₁₆, X₄: 4⋅X₈ {O(n)}
t₁₆, X₅: 5⋅X₈ {O(n)}
t₁₆, X₆: 2⋅X₈ {O(n)}
t₁₆, X₇: 10⋅X₈+2⋅X₇ {O(n)}
t₁₆, X₈: 3⋅X₈ {O(n)}