Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂
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) → eval_foo_1(X₀, nondef.0, X₂)
t₇: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1+X₁ ≤ 0
t₈: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1 ≤ X₁
t₉: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb4_in(X₀, X₁, X₂) :|: 0 ≤ X₁ ∧ X₁ ≤ 0
t₁: eval_foo_bb0_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₂, X₁, X₂)
t₂: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: X₀ ≤ 100
t₃: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb5_in(X₀, X₁, X₂) :|: 101 ≤ X₀
t₄: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_0(X₀, X₁, X₂)
t₁₀: eval_foo_bb3_in(X₀, X₁, X₂) → eval_foo_bb1_in(2-2⋅X₀, X₁, X₂)
t₁₁: eval_foo_bb4_in(X₀, X₁, X₂) → eval_foo_bb1_in(-2-3⋅X₀, X₁, X₂)
t₁₂: eval_foo_bb5_in(X₀, X₁, X₂) → eval_foo_stop(X₀, X₁, X₂)
t₀: eval_foo_start(X₀, X₁, X₂) → eval_foo_bb0_in(X₀, X₁, X₂)

Preprocessing

Found invariant 101 ≤ X₀ for location eval_foo_bb5_in

Found invariant X₀ ≤ 100 for location eval_foo_0

Found invariant 101 ≤ X₀ for location eval_foo_stop

Found invariant X₀ ≤ 100 for location eval_foo_bb3_in

Found invariant X₀ ≤ 100 for location eval_foo_bb2_in

Found invariant X₀ ≤ 100 for location eval_foo_1

Found invariant X₁ ≤ 0 ∧ X₀+X₁ ≤ 100 ∧ 0 ≤ X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 100 for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂
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) → eval_foo_1(X₀, nondef.0, X₂) :|: X₀ ≤ 100
t₇: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 100
t₈: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1 ≤ X₁ ∧ X₀ ≤ 100
t₉: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb4_in(X₀, X₁, X₂) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 100
t₁: eval_foo_bb0_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₂, X₁, X₂)
t₂: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: X₀ ≤ 100
t₃: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb5_in(X₀, X₁, X₂) :|: 101 ≤ X₀
t₄: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_0(X₀, X₁, X₂) :|: X₀ ≤ 100
t₁₀: eval_foo_bb3_in(X₀, X₁, X₂) → eval_foo_bb1_in(2-2⋅X₀, X₁, X₂) :|: X₀ ≤ 100
t₁₁: eval_foo_bb4_in(X₀, X₁, X₂) → eval_foo_bb1_in(-2-3⋅X₀, X₁, X₂) :|: X₀ ≤ 100 ∧ X₀ ≤ 100+X₁ ∧ X₀+X₁ ≤ 100 ∧ 0 ≤ X₁ ∧ X₁ ≤ 0
t₁₂: eval_foo_bb5_in(X₀, X₁, X₂) → eval_foo_stop(X₀, X₁, X₂) :|: 101 ≤ X₀
t₀: eval_foo_start(X₀, X₁, X₂) → eval_foo_bb0_in(X₀, X₁, X₂)

Found invariant X₂ ≤ X₀ ∧ 101 ≤ X₀ for location eval_foo_bb5_in

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 100+X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ X₁ ≤ 0 ∧ X₁ ≤ 198+X₀ ∧ X₀+X₁ ≤ 100 ∧ 0 ≤ X₁ ∧ 0 ≤ 198+X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_bb4_in_v2

Found invariant X₂ ≤ 100 ∧ X₁+X₂ ≤ 99 ∧ X₂ ≤ 298+X₀ ∧ 1+X₁ ≤ 0 ∧ X₁ ≤ 197+X₀ ∧ 0 ≤ 198+X₀ for location eval_foo_bb1_in_v1

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 100+X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 402+X₀ ∧ X₁ ≤ 0 ∧ X₁ ≤ 302+X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ 302+X₀+X₁ ∧ 0 ≤ 302+X₀ for location eval_foo_bb1_in_v3

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ 298+X₀ ∧ 1 ≤ X₁ ∧ 0 ≤ 197+X₀+X₁ ∧ 0 ≤ 198+X₀ for location eval_foo_bb1_in_v2

Found invariant X₂ ≤ X₀ ∧ 101 ≤ X₀ for location eval_foo_stop

Found invariant X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 100 for location eval_foo_0_v1

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_1_v2

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 100+X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 402+X₀ ∧ X₀+X₂ ≤ 200 ∧ X₁ ≤ 0 ∧ X₁ ≤ 302+X₀ ∧ X₀+X₁ ≤ 100 ∧ 0 ≤ X₁ ∧ 0 ≤ 302+X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 302+X₀ for location eval_foo_0_v4

Found invariant X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 100 for location eval_foo_1_v1

Found invariant X₂ ≤ 100 ∧ X₁+X₂ ≤ 99 ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1+X₁ ≤ 0 ∧ X₁ ≤ 197+X₀ ∧ X₀+X₁ ≤ 99 ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_bb2_in_v2

Found invariant X₂ ≤ 100 ∧ X₁+X₂ ≤ 99 ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1+X₁ ≤ 0 ∧ X₁ ≤ 197+X₀ ∧ X₀+X₁ ≤ 99 ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_0_v2

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 402+X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ 100 ∧ 0 ≤ 302+X₀ for location eval_foo_1_v3

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location eval_foo_bb1_in

Found invariant X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ X₂ ∧ X₀ ≤ 100 for location eval_foo_bb2_in_v1

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1 ≤ X₁ ∧ 0 ≤ 197+X₀+X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_bb3_in_v3

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 100+X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ X₀+X₁ ≤ 100 ∧ 0 ≤ X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 100 for location eval_foo_bb4_in_v1

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1 ≤ X₁ ∧ 0 ≤ 197+X₀+X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_0_v3

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1 ≤ X₁ ∧ 0 ≤ 197+X₀+X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_bb2_in_v3

Found invariant X₂ ≤ 100 ∧ X₁+X₂ ≤ 99 ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ X₀+X₁ ≤ 99 ∧ X₀ ≤ 100 for location eval_foo_bb3_in_v2

Found invariant X₂ ≤ 100 ∧ X₁+X₂ ≤ 99 ∧ X₂ ≤ 402+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1+X₁ ≤ 0 ∧ X₁ ≤ 301+X₀ ∧ X₀+X₁ ≤ 99 ∧ X₀ ≤ 100 ∧ 0 ≤ 302+X₀ for location eval_foo_bb3_in_v6

Found invariant X₂ ≤ 100 ∧ X₁+X₂ ≤ 99 ∧ X₂ ≤ 298+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1+X₁ ≤ 0 ∧ X₁ ≤ 197+X₀ ∧ X₀+X₁ ≤ 99 ∧ X₀ ≤ 100 ∧ 0 ≤ 198+X₀ for location eval_foo_bb3_in_v4

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 100+X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 402+X₀ ∧ X₀+X₂ ≤ 200 ∧ X₁ ≤ 0 ∧ X₁ ≤ 302+X₀ ∧ X₀+X₁ ≤ 100 ∧ 0 ≤ X₁ ∧ 0 ≤ 302+X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 302+X₀ for location eval_foo_bb2_in_v4

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ 402+X₀ ∧ X₀+X₂ ≤ 200 ∧ 1 ≤ X₁ ∧ 0 ≤ 301+X₀+X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 302+X₀ for location eval_foo_bb3_in_v5

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 100+X₁ ∧ X₁+X₂ ≤ 100 ∧ X₂ ≤ 402+X₀ ∧ X₀+X₂ ≤ 200 ∧ X₁ ≤ 0 ∧ X₁ ≤ 302+X₀ ∧ X₀+X₁ ≤ 100 ∧ 0 ≤ X₁ ∧ 0 ≤ 302+X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 100 ∧ 0 ≤ 302+X₀ for location eval_foo_bb4_in_v3

Found invariant X₂ ≤ 100 ∧ X₂ ≤ 99+X₁ ∧ X₂ ≤ X₀ ∧ X₀+X₂ ≤ 200 ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ X₀ ≤ 99+X₁ ∧ X₀ ≤ 100 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)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₂, X₂: X₂ {O(n)}
t₃, X₂: 3⋅X₂ {O(n)}
t₄, X₂: X₂ {O(n)}
t₆, X₂: X₂ {O(n)}
t₇, X₂: X₂ {O(n)}
t₈, X₂: X₂ {O(n)}
t₉, X₁: 0 {O(1)}
t₉, X₂: X₂ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₁, X₁: 0 {O(1)}
t₁₁, X₂: X₂ {O(n)}
t₁₂, X₂: 3⋅X₂ {O(n)}