Initial Problem

Start: eval_start_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef_0
Locations: eval_start_0, eval_start_1, eval_start_2, eval_start_3, eval_start_4, eval_start_5, eval_start_7, eval_start_8, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
t₂: eval_start_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: eval_start_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: eval_start_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: eval_start_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: eval_start_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: eval_start_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₅, X₆, X₂, X₃, X₄, X₅, X₆)
t₁₁: eval_start_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_8(X₀, X₁, X₂, X₃, nondef_0, X₅, X₆)
t₁₂: eval_start_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄
t₁₃: eval_start_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb4_in(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0
t₁: eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₈: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀
t₉: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0
t₁₀: eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_7(X₀, X₁, X₂, X₀-1, X₄, X₅, X₆)
t₁₄: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₃, 1+X₁, X₂, X₃, X₄, X₅, X₆)
t₁₆: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₃, X₂, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0
t₁₅: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂
t₁₇: eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb4_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆)
t₁₈: eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_start_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Found invariant X₀ ≤ X₅ for location eval_start_bb1_in

Found invariant X₀ ≤ X₅ ∧ X₀ ≤ 0 for location eval_start_stop

Found invariant X₀ ≤ X₅ ∧ X₀ ≤ 0 for location eval_start_bb6_in

Found invariant 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_start_bb5_in

Found invariant 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ for location eval_start_8

Found invariant 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ for location eval_start_bb3_in

Found invariant 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_start_bb4_in

Found invariant 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ for location eval_start_7

Found invariant 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₀ for location eval_start_bb2_in

Problem after Preprocessing

Start: eval_start_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef_0
Locations: eval_start_0, eval_start_1, eval_start_2, eval_start_3, eval_start_4, eval_start_5, eval_start_7, eval_start_8, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
t₂: eval_start_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: eval_start_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: eval_start_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: eval_start_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: eval_start_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: eval_start_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₅, X₆, X₂, X₃, X₄, X₅, X₆)
t₁₁: eval_start_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_8(X₀, X₁, X₂, X₃, nondef_0, X₅, X₆) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃
t₁₂: eval_start_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃
t₁₃: eval_start_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb4_in(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃
t₁: eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₈: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ X₀ ≤ X₅
t₉: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ X₀ ≤ X₅
t₁₀: eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_7(X₀, X₁, X₂, X₀-1, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅
t₁₄: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₃, 1+X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃
t₁₆: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₃, X₂, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 0
t₁₅: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 0
t₁₇: eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb4_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 0
t₁₈: eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ X₀ ≤ X₅
t₀: eval_start_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

MPRF for transition t₈: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ X₀ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

• eval_start_7: [X₀-1]
• eval_start_8: [X₀-1]
• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀-1]
• eval_start_bb3_in: [X₀-1]
• eval_start_bb4_in: [X₀-1]
• eval_start_bb5_in: [X₀-1]

MPRF for transition t₁₀: eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_7(X₀, X₁, X₂, X₀-1, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

• eval_start_7: [X₀-1]
• eval_start_8: [X₀-1]
• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [X₃]
• eval_start_bb4_in: [X₀-1]
• eval_start_bb5_in: [X₀-1]

MPRF for transition t₁₁: eval_start_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_8(X₀, X₁, X₂, X₃, nondef_0, X₅, X₆) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₅ {O(n)}

• eval_start_7: [1+X₃]
• eval_start_8: [X₃]
• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [X₃]
• eval_start_bb4_in: [X₃]
• eval_start_bb5_in: [X₃]

MPRF for transition t₁₂: eval_start_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₅ {O(n)}

• eval_start_7: [X₀]
• eval_start_8: [X₀]
• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [X₀-1]
• eval_start_bb4_in: [X₀]
• eval_start_bb5_in: [X₀]

MPRF for transition t₁₃: eval_start_8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb4_in(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₅ {O(n)}

• eval_start_7: [X₀]
• eval_start_8: [1+X₃]
• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [X₀]
• eval_start_bb4_in: [X₃]
• eval_start_bb5_in: [X₃]

MPRF for transition t₁₄: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₃, 1+X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₄+X₅ ∧ X₀ ≤ X₅ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₅ {O(n)}

• eval_start_7: [X₀]
• eval_start_8: [X₀]
• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [1+X₃]
• eval_start_bb4_in: [X₀]
• eval_start_bb5_in: [X₀]

MPRF for transition t₁₅: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 0 of depth 1:

new bound:

2⋅X₅+X₆ {O(n)}

• eval_start_7: [1+X₁+X₃+X₅]
• eval_start_8: [X₀+X₁+X₅]
• eval_start_bb1_in: [X₀+X₁+X₅]
• eval_start_bb2_in: [X₀+X₁+X₅]
• eval_start_bb3_in: [1+X₁+X₃+X₅]
• eval_start_bb4_in: [X₀+X₂+X₅-1]
• eval_start_bb5_in: [X₀+X₂+X₅-2]

MPRF for transition t₁₆: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb1_in(X₃, X₂, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 0 of depth 1:

new bound:

X₅ {O(n)}

• eval_start_7: [1+X₃]
• eval_start_8: [1+X₃]
• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [X₀]
• eval_start_bb4_in: [1+X₃]
• eval_start_bb5_in: [X₀]

MPRF for transition t₁₇: eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_start_bb4_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₅ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₀ ≤ X₅ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₃ ∧ X₄ ≤ 0 of depth 1:

new bound:

X₅+X₆+1 {O(n)}

• eval_start_7: [X₀+X₁-1]
• eval_start_8: [X₁+X₃]
• eval_start_bb1_in: [X₀+X₁-1]
• eval_start_bb2_in: [X₀+X₁-1]
• eval_start_bb3_in: [X₁+X₃]
• eval_start_bb4_in: [X₀+X₂-1]
• eval_start_bb5_in: [X₀+X₂-1]

All Bounds

Timebounds

Overall timebound:10⋅X₅+2⋅X₆+11 {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: X₅ {O(n)}
t₉: 1 {O(1)}
t₁₀: X₅ {O(n)}
t₁₁: X₅ {O(n)}
t₁₂: X₅ {O(n)}
t₁₃: X₅ {O(n)}
t₁₄: X₅ {O(n)}
t₁₅: 2⋅X₅+X₆ {O(n)}
t₁₆: X₅ {O(n)}
t₁₇: X₅+X₆+1 {O(n)}
t₁₈: 1 {O(1)}

Costbounds

Overall costbound: 10⋅X₅+2⋅X₆+11 {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: X₅ {O(n)}
t₉: 1 {O(1)}
t₁₀: X₅ {O(n)}
t₁₁: X₅ {O(n)}
t₁₂: X₅ {O(n)}
t₁₃: X₅ {O(n)}
t₁₄: X₅ {O(n)}
t₁₅: 2⋅X₅+X₆ {O(n)}
t₁₆: X₅ {O(n)}
t₁₇: X₅+X₆+1 {O(n)}
t₁₈: 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)}
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)}
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)}
t₂, X₆: X₆ {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)}
t₃, X₆: X₆ {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)}
t₄, X₆: X₆ {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)}
t₅, X₆: X₆ {O(n)}
t₆, X₀: X₀ {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)}
t₆, X₆: X₆ {O(n)}
t₇, X₀: X₅ {O(n)}
t₇, X₁: X₆ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₈, X₀: X₅ {O(n)}
t₈, X₁: X₅+X₆ {O(n)}
t₈, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₈, X₃: 3⋅X₅+X₃ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₉, X₀: 3⋅X₅ {O(n)}
t₉, X₁: 2⋅X₅+3⋅X₆ {O(n)}
t₉, X₂: 2⋅X₂+4⋅X₅+4⋅X₆ {O(n)}
t₉, X₃: 3⋅X₅+X₃ {O(n)}
t₉, X₅: 3⋅X₅ {O(n)}
t₉, X₆: 3⋅X₆ {O(n)}
t₁₀, X₀: X₅ {O(n)}
t₁₀, X₁: X₅+X₆ {O(n)}
t₁₀, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₀, X₃: X₅ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₆ {O(n)}
t₁₁, X₀: X₅ {O(n)}
t₁₁, X₁: X₅+X₆ {O(n)}
t₁₁, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₁, X₃: X₅ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₂, X₀: X₅ {O(n)}
t₁₂, X₁: X₅+X₆ {O(n)}
t₁₂, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₂, X₃: X₅ {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₃, X₀: X₅ {O(n)}
t₁₃, X₁: X₅+X₆ {O(n)}
t₁₃, X₂: X₅+X₆ {O(n)}
t₁₃, X₃: X₅ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₃, X₆: X₆ {O(n)}
t₁₄, X₀: X₅ {O(n)}
t₁₄, X₁: X₅+X₆ {O(n)}
t₁₄, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₄, X₃: X₅ {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₄, X₆: X₆ {O(n)}
t₁₅, X₀: X₅ {O(n)}
t₁₅, X₁: X₅+X₆ {O(n)}
t₁₅, X₂: X₅+X₆ {O(n)}
t₁₅, X₃: X₅ {O(n)}
t₁₅, X₅: X₅ {O(n)}
t₁₅, X₆: X₆ {O(n)}
t₁₆, X₀: X₅ {O(n)}
t₁₆, X₁: X₅+X₆ {O(n)}
t₁₆, X₂: 2⋅X₅+2⋅X₆ {O(n)}
t₁₆, X₃: 2⋅X₅ {O(n)}
t₁₆, X₅: X₅ {O(n)}
t₁₆, X₆: X₆ {O(n)}
t₁₇, X₀: X₅ {O(n)}
t₁₇, X₁: X₅+X₆ {O(n)}
t₁₇, X₂: X₅+X₆ {O(n)}
t₁₇, X₃: X₅ {O(n)}
t₁₇, X₅: X₅ {O(n)}
t₁₇, X₆: X₆ {O(n)}
t₁₈, X₀: 3⋅X₅ {O(n)}
t₁₈, X₁: 2⋅X₅+3⋅X₆ {O(n)}
t₁₈, X₂: 2⋅X₂+4⋅X₅+4⋅X₆ {O(n)}
t₁₈, X₃: 3⋅X₅+X₃ {O(n)}
t₁₈, X₅: 3⋅X₅ {O(n)}
t₁₈, X₆: 3⋅X₆ {O(n)}