Initial Problem

Start: eval_non_linear11_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0
Locations: eval_non_linear11_0, eval_non_linear11_1, eval_non_linear11_bb0_in, eval_non_linear11_bb1_in, eval_non_linear11_bb2_in, eval_non_linear11_bb3_in, eval_non_linear11_bb4_in, eval_non_linear11_bb5_in, eval_non_linear11_start, eval_non_linear11_stop
Transitions:
t₆: eval_non_linear11_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_1(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆)
t₇: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, X₁+(X₅)², X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ 0
t₈: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, X₁+(X₅)², X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃
t₉: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, 1+X₁+(X₅)², X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₃ ∧ X₃ ≤ 0
t₁: eval_non_linear11_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₄, X₆, X₂, X₃, X₄, X₅, X₆)
t₂: eval_non_linear11_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀
t₃: eval_non_linear11_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb3_in(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0
t₄: eval_non_linear11_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: eval_non_linear11_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂
t₁₁: eval_non_linear11_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0
t₁₂: eval_non_linear11_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb3_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆)
t₁₃: eval_non_linear11_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_non_linear11_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Found invariant X₀ ≤ X₄ for location eval_non_linear11_bb1_in

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location eval_non_linear11_bb4_in

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀ for location eval_non_linear11_bb2_in

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀ for location eval_non_linear11_1

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀ for location eval_non_linear11_0

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₀ ≤ 0 for location eval_non_linear11_bb3_in

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0 for location eval_non_linear11_bb5_in

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0 for location eval_non_linear11_stop

Problem after Preprocessing

Start: eval_non_linear11_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0
Locations: eval_non_linear11_0, eval_non_linear11_1, eval_non_linear11_bb0_in, eval_non_linear11_bb1_in, eval_non_linear11_bb2_in, eval_non_linear11_bb3_in, eval_non_linear11_bb4_in, eval_non_linear11_bb5_in, eval_non_linear11_start, eval_non_linear11_stop
Transitions:
t₆: eval_non_linear11_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_1(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄
t₇: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, X₁+(X₅)², X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄
t₈: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, X₁+(X₅)², X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄
t₉: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, 1+X₁+(X₅)², X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄
t₁: eval_non_linear11_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₄, X₆, X₂, X₃, X₄, X₅, X₆)
t₂: eval_non_linear11_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ X₀ ≤ X₄
t₃: eval_non_linear11_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb3_in(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ X₀ ≤ X₄
t₄: eval_non_linear11_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄
t₁₀: eval_non_linear11_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁
t₁₁: eval_non_linear11_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁
t₁₂: eval_non_linear11_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb3_in(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁
t₁₃: eval_non_linear11_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 0
t₀: eval_non_linear11_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

MPRF for transition t₂: eval_non_linear11_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ X₀ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

• eval_non_linear11_0: [X₀-1]
• eval_non_linear11_1: [X₀-1]
• eval_non_linear11_bb1_in: [X₀]
• eval_non_linear11_bb2_in: [X₀-1]

MPRF for transition t₄: eval_non_linear11_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

• eval_non_linear11_0: [X₀-1]
• eval_non_linear11_1: [X₀-1]
• eval_non_linear11_bb1_in: [X₀]
• eval_non_linear11_bb2_in: [X₀]

MPRF for transition t₆: eval_non_linear11_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_1(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

• eval_non_linear11_0: [X₀]
• eval_non_linear11_1: [X₀-1]
• eval_non_linear11_bb1_in: [X₀]
• eval_non_linear11_bb2_in: [X₀]

MPRF for transition t₇: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, Temp_Int₂₇₆+X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ 0 ∧ 0 ≤ Temp_Int₂₇₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

• eval_non_linear11_0: [X₀]
• eval_non_linear11_1: [X₀]
• eval_non_linear11_bb1_in: [X₀]
• eval_non_linear11_bb2_in: [X₀]

MPRF for transition t₈: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, Temp_Int₂₇₇+X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ 0 ≤ Temp_Int₂₇₇ ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

• eval_non_linear11_0: [X₀]
• eval_non_linear11_1: [X₀]
• eval_non_linear11_bb1_in: [X₀]
• eval_non_linear11_bb2_in: [X₀]

MPRF for transition t₉: eval_non_linear11_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_non_linear11_bb1_in(X₀-1, Temp_Int₂₇₈+Temp_Int₂₇₉+X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ 0 ≤ Temp_Int₂₇₉ ∧ 1 ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ of depth 1:

new bound:

X₄ {O(n)}

• eval_non_linear11_0: [X₀]
• eval_non_linear11_1: [X₀]
• eval_non_linear11_bb1_in: [X₀]
• eval_non_linear11_bb2_in: [X₀]

Found invariant X₀ ≤ X₄ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location eval_non_linear11_bb3_in_v1

Found invariant X₀ ≤ X₄ for location eval_non_linear11_bb1_in

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀ for location eval_non_linear11_bb2_in

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀ for location eval_non_linear11_1

Found invariant X₀ ≤ X₄ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location eval_non_linear11_bb4_in_v2

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location eval_non_linear11_bb4_in_v1

Found invariant 1 ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₀ for location eval_non_linear11_0

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ X₀ ≤ 0 for location eval_non_linear11_bb3_in

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0 for location eval_non_linear11_bb5_in

Found invariant X₀ ≤ X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ X₀ ≤ 0 for location eval_non_linear11_stop

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₄ {O(n)}
t₃: 1 {O(1)}
t₄: X₄ {O(n)}
t₆: X₄ {O(n)}
t₇: X₄ {O(n)}
t₈: X₄ {O(n)}
t₉: X₄ {O(n)}
t₁₀: inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: inf {Infinity}
t₁₃: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₄ {O(n)}
t₃: 1 {O(1)}
t₄: X₄ {O(n)}
t₆: X₄ {O(n)}
t₇: X₄ {O(n)}
t₈: X₄ {O(n)}
t₉: X₄ {O(n)}
t₁₀: inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: inf {Infinity}
t₁₃: 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: X₄ {O(n)}
t₁, X₁: X₆ {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: X₄ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₃, X₀: 4⋅X₄ {O(n)}
t₃, X₄: 4⋅X₄ {O(n)}
t₃, X₅: 4⋅X₅ {O(n)}
t₃, X₆: 4⋅X₆ {O(n)}
t₄, X₀: X₄ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₆, X₀: X₄ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₇, X₀: X₄ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₈, X₀: X₄ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₉, X₀: X₄ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: 0 {O(1)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₆ {O(n)}
t₁₀, X₀: 4⋅X₄ {O(n)}
t₁₀, X₄: 4⋅X₄ {O(n)}
t₁₀, X₅: 4⋅X₅ {O(n)}
t₁₀, X₆: 4⋅X₆ {O(n)}
t₁₁, X₀: 8⋅X₄ {O(n)}
t₁₁, X₄: 8⋅X₄ {O(n)}
t₁₁, X₅: 8⋅X₅ {O(n)}
t₁₁, X₆: 8⋅X₆ {O(n)}
t₁₂, X₀: 4⋅X₄ {O(n)}
t₁₂, X₄: 4⋅X₄ {O(n)}
t₁₂, X₅: 4⋅X₅ {O(n)}
t₁₂, X₆: 4⋅X₆ {O(n)}
t₁₃, X₀: 8⋅X₄ {O(n)}
t₁₃, X₄: 8⋅X₄ {O(n)}
t₁₃, X₅: 8⋅X₅ {O(n)}
t₁₃, X₆: 8⋅X₆ {O(n)}