Initial Problem
Start: eval_rsd_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: nondef_0
Locations: eval_rsd_0, eval_rsd_1, eval_rsd_10, eval_rsd_11, eval_rsd_12, eval_rsd_13, eval_rsd_14, eval_rsd_2, eval_rsd_4, eval_rsd_5, eval_rsd_6, eval_rsd_7, eval_rsd_8, eval_rsd_9, eval_rsd_bb0_in, eval_rsd_bb1_in, eval_rsd_bb2_in, eval_rsd_bb3_in, eval_rsd_bb4_in, eval_rsd_start, eval_rsd_stop
Transitions:
t₂: eval_rsd_0(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_1(X₀, X₁, X₂, X₃, X₄, X₅)
t₃: eval_rsd_1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_2(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₃: eval_rsd_10(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_11(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₄: eval_rsd_11(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_12(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₅: eval_rsd_12(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₀, X₁, X₅)
t₁₉: eval_rsd_13(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_14(X₀, X₁, nondef_0, X₃, X₄, X₅)
t₂₀: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 1 ≤ X₂
t₂₁: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₄-1, X₄, X₅) :|: 1 ≤ X₂ ∧ X₂ ≤ 0
t₂₂: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₃-1, X₃, X₅) :|: 1 ≤ X₂ ∧ X₂ ≤ 0
t₂₃: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₄-1, X₃, X₅) :|: X₂ ≤ 0
t₄: eval_rsd_2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅
t₅: eval_rsd_2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₅ ≤ 0
t₇: eval_rsd_4(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_5(X₀, X₁, X₂, X₃, X₄, X₅)
t₈: eval_rsd_5(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_6(X₀, 2⋅X₅, X₂, X₃, X₄, X₅)
t₉: eval_rsd_6(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_7(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₀: eval_rsd_7(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_8(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₁: eval_rsd_8(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_9(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₂: eval_rsd_9(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_10(X₀, X₁, X₂, X₃, X₄, X₅)
t₁: eval_rsd_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_0(X₀, X₁, X₂, X₃, X₄, X₅)
t₆: eval_rsd_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_4(2⋅X₅, X₁, X₂, X₃, X₄, X₅)
t₁₆: eval_rsd_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₃
t₁₇: eval_rsd_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₃ ≤ X₅
t₁₈: eval_rsd_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_13(X₀, X₁, X₂, X₃, X₄, X₅)
t₂₄: eval_rsd_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_stop(X₀, X₁, X₂, X₃, X₄, X₅)
t₀: eval_rsd_start(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅)
Preprocessing
Cut unsatisfiable transition [t₂₁: eval_rsd_14→eval_rsd_bb2_in; t₂₂: eval_rsd_14→eval_rsd_bb2_in]
Found invariant X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀ for location eval_rsd_5
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_10
Found invariant X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₀ for location eval_rsd_4
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_12
Found invariant 0 ≤ X₅ for location eval_rsd_bb1_in
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_9
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_13
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_8
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_11
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_6
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ 1+X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ 1+X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_bb2_in
Found invariant X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_7
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_bb3_in
Found invariant X₅ ≤ X₄ ∧ X₅ ≤ X₃ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₁+X₅ ∧ 0 ≤ X₀+X₅ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_rsd_14
Problem after Preprocessing
Start: eval_rsd_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: nondef_0
Locations: eval_rsd_0, eval_rsd_1, eval_rsd_10, eval_rsd_11, eval_rsd_12, eval_rsd_13, eval_rsd_14, eval_rsd_2, eval_rsd_4, eval_rsd_5, eval_rsd_6, eval_rsd_7, eval_rsd_8, eval_rsd_9, eval_rsd_bb0_in, eval_rsd_bb1_in, eval_rsd_bb2_in, eval_rsd_bb3_in, eval_rsd_bb4_in, eval_rsd_start, eval_rsd_stop
Transitions:
t₂: eval_rsd_0(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_1(X₀, X₁, X₂, X₃, X₄, X₅)
t₃: eval_rsd_1(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_2(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₃: eval_rsd_10(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_11(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅
t₁₄: eval_rsd_11(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_12(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅
t₁₅: eval_rsd_12(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₀, X₁, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅
t₁₉: eval_rsd_13(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_14(X₀, X₁, nondef_0, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₂₀: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 1 ≤ X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₂₃: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₄-1, X₃, X₅) :|: X₂ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₄: eval_rsd_2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅
t₅: eval_rsd_2(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₅ ≤ 0
t₇: eval_rsd_4(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_5(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅
t₈: eval_rsd_5(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_6(X₀, 2⋅X₅, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₅
t₉: eval_rsd_6(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_7(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅
t₁₀: eval_rsd_7(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_8(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅
t₁₁: eval_rsd_8(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_9(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅
t₁₂: eval_rsd_9(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_10(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₅
t₁: eval_rsd_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_0(X₀, X₁, X₂, X₃, X₄, X₅)
t₆: eval_rsd_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_4(2⋅X₅, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅
t₁₆: eval_rsd_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₅ ∧ X₅ ≤ 1+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₁₇: eval_rsd_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₃ ≤ X₅ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₅ ∧ X₅ ≤ 1+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₁₈: eval_rsd_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_13(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅
t₂₄: eval_rsd_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_stop(X₀, X₁, X₂, X₃, X₄, X₅)
t₀: eval_rsd_start(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅)
MPRF for transition t₁₆: eval_rsd_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₅ ≤ X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₃+X₅ ∧ X₅ ≤ 1+X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅ of depth 1:
new bound:
4⋅X₅+2 {O(n)}
MPRF:
• eval_rsd_13: [1+X₃+X₄]
• eval_rsd_14: [1+X₃+X₄]
• eval_rsd_bb2_in: [2+X₃+X₄]
• eval_rsd_bb3_in: [1+X₃+X₄]
MPRF for transition t₁₈: eval_rsd_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_13(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
MPRF:
• eval_rsd_13: [X₃+X₄]
• eval_rsd_14: [X₃+X₄]
• eval_rsd_bb2_in: [1+X₃+X₄]
• eval_rsd_bb3_in: [1+X₃+X₄]
MPRF for transition t₁₉: eval_rsd_13(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_14(X₀, X₁, nondef_0, X₃, X₄, X₅) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
MPRF:
• eval_rsd_13: [1+X₃+X₄]
• eval_rsd_14: [X₃+X₄]
• eval_rsd_bb2_in: [1+X₃+X₄]
• eval_rsd_bb3_in: [1+X₃+X₄]
MPRF for transition t₂₀: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 1 ≤ X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
MPRF:
• eval_rsd_13: [1+X₃+X₄]
• eval_rsd_14: [1+X₃+X₄]
• eval_rsd_bb2_in: [1+X₃+X₄]
• eval_rsd_bb3_in: [1+X₃+X₄]
MPRF for transition t₂₃: eval_rsd_14(X₀, X₁, X₂, X₃, X₄, X₅) → eval_rsd_bb2_in(X₀, X₁, X₂, X₄-1, X₃, X₅) :|: X₂ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₅ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₁+X₄ ∧ 0 ≤ X₁+X₅ ∧ X₅ ≤ X₁ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₃+X₅ ∧ X₅ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ X₅ ≤ X₄ ∧ 0 ≤ X₅ of depth 1:
new bound:
4⋅X₅+1 {O(n)}
MPRF:
• eval_rsd_13: [1+X₃+X₄]
• eval_rsd_14: [1+X₃+X₄]
• eval_rsd_bb2_in: [1+X₃+X₄]
• eval_rsd_bb3_in: [1+X₃+X₄]
All Bounds
Timebounds
Overall timebound:20⋅X₅+24 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 4⋅X₅+2 {O(n)}
t₁₇: 1 {O(1)}
t₁₈: 4⋅X₅+1 {O(n)}
t₁₉: 4⋅X₅+1 {O(n)}
t₂₀: 4⋅X₅+1 {O(n)}
t₂₃: 4⋅X₅+1 {O(n)}
t₂₄: 1 {O(1)}
Costbounds
Overall costbound: 20⋅X₅+24 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: 1 {O(1)}
t₁₁: 1 {O(1)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₁₆: 4⋅X₅+2 {O(n)}
t₁₇: 1 {O(1)}
t₁₈: 4⋅X₅+1 {O(n)}
t₁₉: 4⋅X₅+1 {O(n)}
t₂₀: 4⋅X₅+1 {O(n)}
t₂₃: 4⋅X₅+1 {O(n)}
t₂₄: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
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)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₆, X₀: 2⋅X₅ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₇, X₀: 2⋅X₅ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₈, X₀: 2⋅X₅ {O(n)}
t₈, X₁: 2⋅X₅ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₉, X₀: 2⋅X₅ {O(n)}
t₉, X₁: 2⋅X₅ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₁₀, X₀: 2⋅X₅ {O(n)}
t₁₀, X₁: 2⋅X₅ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₁, X₀: 2⋅X₅ {O(n)}
t₁₁, X₁: 2⋅X₅ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₂, X₀: 2⋅X₅ {O(n)}
t₁₂, X₁: 2⋅X₅ {O(n)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₃, X₀: 2⋅X₅ {O(n)}
t₁₃, X₁: 2⋅X₅ {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₄, X₀: 2⋅X₅ {O(n)}
t₁₄, X₁: 2⋅X₅ {O(n)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₅, X₀: 2⋅X₅ {O(n)}
t₁₅, X₁: 2⋅X₅ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: 2⋅X₅ {O(n)}
t₁₅, X₄: 2⋅X₅ {O(n)}
t₁₅, X₅: X₅ {O(n)}
t₁₆, X₀: 2⋅X₅ {O(n)}
t₁₆, X₁: 2⋅X₅ {O(n)}
t₁₆, X₃: 4⋅X₅+1 {O(n)}
t₁₆, X₄: 4⋅X₅+1 {O(n)}
t₁₆, X₅: X₅ {O(n)}
t₁₇, X₀: 4⋅X₅ {O(n)}
t₁₇, X₁: 4⋅X₅ {O(n)}
t₁₇, X₃: 8⋅X₅+2 {O(n)}
t₁₇, X₄: 8⋅X₅+2 {O(n)}
t₁₇, X₅: 2⋅X₅ {O(n)}
t₁₈, X₀: 2⋅X₅ {O(n)}
t₁₈, X₁: 2⋅X₅ {O(n)}
t₁₈, X₃: 4⋅X₅+1 {O(n)}
t₁₈, X₄: 4⋅X₅+1 {O(n)}
t₁₈, X₅: X₅ {O(n)}
t₁₉, X₀: 2⋅X₅ {O(n)}
t₁₉, X₁: 2⋅X₅ {O(n)}
t₁₉, X₃: 4⋅X₅+1 {O(n)}
t₁₉, X₄: 4⋅X₅+1 {O(n)}
t₁₉, X₅: X₅ {O(n)}
t₂₀, X₀: 2⋅X₅ {O(n)}
t₂₀, X₁: 2⋅X₅ {O(n)}
t₂₀, X₃: 4⋅X₅+1 {O(n)}
t₂₀, X₄: 4⋅X₅+1 {O(n)}
t₂₀, X₅: X₅ {O(n)}
t₂₃, X₀: 2⋅X₅ {O(n)}
t₂₃, X₁: 2⋅X₅ {O(n)}
t₂₃, X₃: 4⋅X₅+1 {O(n)}
t₂₃, X₄: 4⋅X₅+1 {O(n)}
t₂₃, X₅: X₅ {O(n)}
t₂₄, X₀: 4⋅X₅+X₀ {O(n)}
t₂₄, X₁: 4⋅X₅+X₁ {O(n)}
t₂₄, X₃: 8⋅X₅+X₃+2 {O(n)}
t₂₄, X₄: 8⋅X₅+X₄+2 {O(n)}
t₂₄, X₅: 3⋅X₅ {O(n)}