Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
t₆: eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_1(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆)
t₇: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ 0
t₈: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃
t₉: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₃ ∧ X₃ ≤ 0
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₄, X₅, X₆, X₃, X₄, X₅, X₆)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(1+X₀, 1+X₀+X₁, X₂, X₃, X₄, X₅, X₆)
t₁₁: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀-X₂, X₁+(X₂)², X₂-1, X₃, X₄, X₅, X₆)
t₁₂: eval_foo_bb5_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

Found invariant X₂ ≤ X₆ ∧ 1+X₀ ≤ X₁ for location eval_foo_bb5_in

Found invariant X₂ ≤ X₆ ∧ X₁ ≤ X₀ for location eval_foo_0

Found invariant X₂ ≤ X₆ ∧ 1+X₀ ≤ X₁ for location eval_foo_stop

Found invariant X₂ ≤ X₆ ∧ X₁ ≤ X₀ for location eval_foo_bb3_in

Found invariant X₂ ≤ X₆ ∧ X₁ ≤ X₀ for location eval_foo_bb2_in

Found invariant X₂ ≤ X₆ ∧ X₁ ≤ X₀ for location eval_foo_1

Found invariant X₂ ≤ X₆ for location eval_foo_bb1_in

Found invariant X₂ ≤ X₆ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
t₆: eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_1(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆) :|: X₁ ≤ X₀ ∧ X₂ ≤ X₆
t₇: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₆
t₈: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₆
t₉: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₆
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₄, X₅, X₆, X₃, X₄, X₅, X₆)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₀ ∧ X₂ ≤ X₆
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁ ∧ X₂ ≤ X₆
t₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₀ ∧ X₂ ≤ X₆
t₁₀: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(1+X₀, 1+X₀+X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₀ ∧ X₂ ≤ X₆
t₁₁: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀-X₂, X₁+(X₂)², X₂-1, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₀ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₁₂: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁ ∧ X₂ ≤ X₆
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb4_in_v2

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_0_v6

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ 0 for location eval_foo_bb1_in_v1

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ for location eval_foo_bb1_in_v3

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_bb2_in_v5

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v7

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_foo_1_v2

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₀ for location eval_foo_1_v1

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₃ ≤ 0 for location eval_foo_bb1_in_v4

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb4_in_v4

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₁ ≤ X₀ for location eval_foo_1_v3

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₀ for location eval_foo_bb2_in_v1

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v3

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_0_v3

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v2

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₃ for location eval_foo_bb1_in_v5

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v6

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v4

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_0_v5

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb2_in_v4

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb4_in_v3

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb2_in_v6

Found invariant X₂ ≤ X₆ ∧ 1+X₀ ≤ X₁ for location eval_foo_bb5_in

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃ for location eval_foo_bb1_in_v2

Found invariant X₂ ≤ X₆ ∧ 1+X₀ ≤ X₁ for location eval_foo_stop

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₁ ≤ X₀ for location eval_foo_0_v1

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_0_v4

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_0_v2

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₁ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₄ for location eval_foo_bb1_in

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ 0 ∧ 0 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb4_in_v1

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₅ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb2_in_v3

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₁ ≤ X₀ for location eval_foo_1_v4

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1+X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v8

Found invariant 1+X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v5

Found invariant X₆ ≤ X₂ ∧ X₂ ≤ X₆ ∧ X₅ ≤ X₄ ∧ X₅ ≤ X₁ ∧ X₅ ≤ X₀ ∧ X₁ ≤ X₅ ∧ X₄ ≤ X₀ ∧ X₁ ≤ X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_foo_bb3_in_v1

All Bounds

Timebounds

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

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: inf {Infinity}
t₁₀: inf {Infinity}
t₁₁: inf {Infinity}
t₁₂: 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: X₅ {O(n)}
t₁, X₂: X₆ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₃, X₄: 3⋅X₄ {O(n)}
t₃, X₅: 3⋅X₅ {O(n)}
t₃, X₆: 3⋅X₆ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₉, X₃: 0 {O(1)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₆ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₆ {O(n)}
t₁₁, X₃: 0 {O(1)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₂, X₄: 3⋅X₄ {O(n)}
t₁₂, X₅: 3⋅X₅ {O(n)}
t₁₂, X₆: 3⋅X₆ {O(n)}