Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0
Locations: eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
t₈: eval_foo_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_4(X₀, X₁, nondef.0, X₃, X₄, X₅, X₆)
t₉: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₂ ≤ 0
t₁₀: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂ ∧ 1+X₂ ≤ 0
t₁₁: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂ ∧ 1+X₂ ≤ 0
t₁₂: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂
t₁₃: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₁-1, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₄: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₁-1, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₅: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆) :|: 1+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₆: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0
t₁₇: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₁-1, X₁-1, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₂ ∧ X₂ ≤ 0
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₅
t₂: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ 0
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(2⋅X₅, 2⋅X₅, X₂, X₃, X₄, X₅, X₆)
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ X₀
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₅
t₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₈: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Cut unsatisfiable transition [t₁₀: eval_foo_4→eval_foo_bb2_in; t₁₁: eval_foo_4→eval_foo_bb2_in; t₁₃: eval_foo_4→eval_foo_bb2_in; t₁₄: eval_foo_4→eval_foo_bb2_in; t₁₅: eval_foo_4→eval_foo_bb2_in; t₁₆: eval_foo_4→eval_foo_bb2_in]

Eliminate variables [X₃; X₄; X₆] that do not contribute to the problem

Found invariant X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀ for location eval_foo_bb3_in

Found invariant X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀ for location eval_foo_3

Found invariant 0 ≤ X₃ for location eval_foo_bb2_in

Found invariant 0 ≤ X₃ for location eval_foo_bb1_in

Found invariant X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₀ for location eval_foo_4

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef.0
Locations: eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
t₃₆: eval_foo_3(X₀, X₁, X₂, X₃) → eval_foo_4(X₀, X₁, nondef.0, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃
t₃₇: eval_foo_4(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃) :|: 1+X₂ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃
t₃₈: eval_foo_4(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃) :|: 1 ≤ X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃
t₃₉: eval_foo_4(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₁-1, X₁-1, X₂, X₃) :|: 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃
t₄₀: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₃
t₄₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_bb4_in(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ 0
t₄₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(2⋅X₃, 2⋅X₃, X₂, X₃) :|: 0 ≤ X₃
t₄₃: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₀ ∧ 0 ≤ X₃
t₄₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb4_in(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₃ ∧ 0 ≤ X₃
t₄₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃) → eval_foo_3(X₀, X₁, X₂, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃
t₄₆: eval_foo_bb4_in(X₀, X₁, X₂, X₃) → eval_foo_stop(X₀, X₁, X₂, X₃)
t₄₇: eval_foo_start(X₀, X₁, X₂, X₃) → eval_foo_bb0_in(X₀, X₁, X₂, X₃)

MPRF for transition t₃₉: eval_foo_4(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₁-1, X₁-1, X₂, X₃) :|: 0 ≤ X₂ ∧ X₂ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ of depth 2:

new bound:

40⋅X₃+1 {O(n)}

MPRF:

• eval_foo_3: [X₁; X₀+X₃]
• eval_foo_4: [X₁; X₀+X₃]
• eval_foo_bb2_in: [X₁; X₀+X₃]
• eval_foo_bb3_in: [X₁; X₀+X₃]

MPRF for transition t₃₆: eval_foo_3(X₀, X₁, X₂, X₃) → eval_foo_4(X₀, X₁, nondef.0, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ of depth 1:

new bound:

1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}

MPRF:

• eval_foo_3: [2+X₀]
• eval_foo_4: [1+X₀]
• eval_foo_bb2_in: [2+X₀]
• eval_foo_bb3_in: [2+X₀]

MPRF for transition t₃₇: eval_foo_4(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃) :|: 1+X₂ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ of depth 1:

new bound:

1680⋅X₃⋅X₃+164⋅X₃+4 {O(n^2)}

MPRF:

• eval_foo_3: [1+X₀]
• eval_foo_4: [1+X₀]
• eval_foo_bb2_in: [1+X₀]
• eval_foo_bb3_in: [1+X₀]

MPRF for transition t₃₈: eval_foo_4(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(X₀-1, X₁, X₂, X₃) :|: 1 ≤ X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ of depth 1:

new bound:

1680⋅X₃⋅X₃+164⋅X₃+4 {O(n^2)}

MPRF:

• eval_foo_3: [1+X₀]
• eval_foo_4: [1+X₀]
• eval_foo_bb2_in: [1+X₀]
• eval_foo_bb3_in: [1+X₀]

MPRF for transition t₄₃: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₀ ∧ 0 ≤ X₃ of depth 1:

new bound:

1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}

MPRF:

• eval_foo_3: [1+X₀]
• eval_foo_4: [1+X₀]
• eval_foo_bb2_in: [2+X₀]
• eval_foo_bb3_in: [1+X₀]

MPRF for transition t₄₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃) → eval_foo_3(X₀, X₁, X₂, X₃) :|: 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ of depth 1:

new bound:

1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}

MPRF:

• eval_foo_3: [1+X₀]
• eval_foo_4: [1+X₀]
• eval_foo_bb2_in: [2+X₀]
• eval_foo_bb3_in: [2+X₀]

Cut unsatisfiable transition [t₄₄: eval_foo_bb2_in→eval_foo_bb4_in; t₇₆: eval_foo_bb2_in→eval_foo_bb4_in]

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ 1+X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ 1+X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v5

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_bb2_in_v7

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ 1+X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ 1+X₀+X₁ ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v2

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_3_v3

Found invariant 0 ≤ X₃ for location eval_foo_bb1_in

Found invariant X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ 1+X₁ ∧ 0 ≤ 2+X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v1

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v3

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1+X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_3_v2

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1+X₂ ≤ 0 ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_3_v5

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_3_v6

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ 1+X₀ ∧ 0 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 1+X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ 1+X₀+X₁ ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v3

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1+X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v2

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_3_v1

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_4_v1

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v6

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v4

Found invariant X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ 1+X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ 1+X₁ ∧ X₂ ≤ 1+X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ 1+X₁+X₂ ∧ 0 ≤ 1+X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ 1+X₁ ∧ 0 ≤ 2+X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v4

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1+X₂ ≤ 0 ∧ 2+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v5

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_3_v4

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_4_v2

Found invariant 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_4_v3

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ 1+X₀ ∧ 0 ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ 1+X₀+X₃ ∧ 1+X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ 1+X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v6

Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v1

All Bounds

Timebounds

Overall timebound:8400⋅X₃⋅X₃+980⋅X₃+33 {O(n^2)}
t₃₆: 1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}
t₃₇: 1680⋅X₃⋅X₃+164⋅X₃+4 {O(n^2)}
t₃₈: 1680⋅X₃⋅X₃+164⋅X₃+4 {O(n^2)}
t₃₉: 40⋅X₃+1 {O(n)}
t₄₀: 1 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}
t₄₄: 1 {O(1)}
t₄₅: 1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}

Costbounds

Overall costbound: 8400⋅X₃⋅X₃+980⋅X₃+33 {O(n^2)}
t₃₆: 1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}
t₃₇: 1680⋅X₃⋅X₃+164⋅X₃+4 {O(n^2)}
t₃₈: 1680⋅X₃⋅X₃+164⋅X₃+4 {O(n^2)}
t₃₉: 40⋅X₃+1 {O(n)}
t₄₀: 1 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 1 {O(1)}
t₄₃: 1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}
t₄₄: 1 {O(1)}
t₄₅: 1680⋅X₃⋅X₃+204⋅X₃+6 {O(n^2)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}

Sizebounds

t₃₆, X₀: 44⋅X₃+3 {O(n)}
t₃₆, X₁: 42⋅X₃+1 {O(n)}
t₃₆, X₃: X₃ {O(n)}
t₃₇, X₀: 44⋅X₃+3 {O(n)}
t₃₇, X₁: 42⋅X₃+1 {O(n)}
t₃₇, X₃: X₃ {O(n)}
t₃₈, X₀: 44⋅X₃+3 {O(n)}
t₃₈, X₁: 42⋅X₃+1 {O(n)}
t₃₈, X₃: X₃ {O(n)}
t₃₉, X₀: 42⋅X₃+2 {O(n)}
t₃₉, X₁: 42⋅X₃+1 {O(n)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: X₃ {O(n)}
t₄₀, X₀: X₀ {O(n)}
t₄₀, X₁: X₁ {O(n)}
t₄₀, X₂: X₂ {O(n)}
t₄₀, X₃: X₃ {O(n)}
t₄₁, X₀: X₀ {O(n)}
t₄₁, X₁: X₁ {O(n)}
t₄₁, X₂: X₂ {O(n)}
t₄₁, X₃: X₃ {O(n)}
t₄₂, X₀: 2⋅X₃ {O(n)}
t₄₂, X₁: 2⋅X₃ {O(n)}
t₄₂, X₂: X₂ {O(n)}
t₄₂, X₃: X₃ {O(n)}
t₄₃, X₀: 44⋅X₃+3 {O(n)}
t₄₃, X₁: 42⋅X₃+1 {O(n)}
t₄₃, X₃: X₃ {O(n)}
t₄₄, X₀: 130⋅X₃+8 {O(n)}
t₄₄, X₁: 126⋅X₃+3 {O(n)}
t₄₄, X₃: 3⋅X₃ {O(n)}
t₄₅, X₀: 44⋅X₃+3 {O(n)}
t₄₅, X₁: 42⋅X₃+1 {O(n)}
t₄₅, X₃: X₃ {O(n)}
t₄₆, X₀: 130⋅X₃+X₀+8 {O(n)}
t₄₆, X₁: 126⋅X₃+X₁+3 {O(n)}
t₄₆, X₃: 4⋅X₃ {O(n)}
t₄₇, X₀: X₀ {O(n)}
t₄₇, X₁: X₁ {O(n)}
t₄₇, X₂: X₂ {O(n)}
t₄₇, X₃: X₃ {O(n)}