Initial Problem

Start: eval_size05_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: eval_size05_bb0_in, eval_size05_bb1_in, eval_size05_bb2_in, eval_size05_bb3_in, eval_size05_bb4_in, eval_size05_bb5_in, eval_size05_start, eval_size05_stop
Transitions:
t₁: eval_size05_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb1_in(X₃, X₄, X₂, X₃, X₄, X₅)
t₂: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₀ ∧ 1+X₅ ≤ 0
t₃: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₅
t₄: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb3_in(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₀ ≤ 0
t₅: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb3_in(X₀, X₁, X₁, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ X₅ ≤ 0
t₆: eval_size05_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb1_in(X₀-(X₁)², X₁+(X₅)², X₂, X₃, X₄, X₅)
t₇: eval_size05_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₂
t₈: eval_size05_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₂ ≤ 0
t₉: eval_size05_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb3_in(X₀, X₁, X₂-1, X₃, X₄, X₅)
t₁₀: eval_size05_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_stop(X₀, X₁, X₂, X₃, X₄, X₅)
t₀: eval_size05_start(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅)

Preprocessing

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ for location eval_size05_bb1_in

Found invariant X₄ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_size05_bb2_in

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ for location eval_size05_bb5_in

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ for location eval_size05_bb3_in

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_size05_bb4_in

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ for location eval_size05_stop

Problem after Preprocessing

Start: eval_size05_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: eval_size05_bb0_in, eval_size05_bb1_in, eval_size05_bb2_in, eval_size05_bb3_in, eval_size05_bb4_in, eval_size05_bb5_in, eval_size05_start, eval_size05_stop
Transitions:
t₁: eval_size05_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb1_in(X₃, X₄, X₂, X₃, X₄, X₅)
t₂: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₀ ∧ 1+X₅ ≤ 0 ∧ X₀ ≤ X₃ ∧ X₄ ≤ X₁
t₃: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₅ ∧ X₀ ≤ X₃ ∧ X₄ ≤ X₁
t₄: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb3_in(X₀, X₁, X₁, X₃, X₄, X₅) :|: X₀ ≤ 0 ∧ X₀ ≤ X₃ ∧ X₄ ≤ X₁
t₅: eval_size05_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb3_in(X₀, X₁, X₁, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ X₅ ≤ 0 ∧ X₀ ≤ X₃ ∧ X₄ ≤ X₁
t₆: eval_size05_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb1_in(X₀-(X₁)², X₁+(X₅)², X₂, X₃, X₄, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₄ ≤ X₁
t₇: eval_size05_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₈: eval_size05_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₂ ≤ 0 ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₉: eval_size05_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb3_in(X₀, X₁, X₂-1, X₃, X₄, X₅) :|: 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁
t₁₀: eval_size05_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_stop(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₄ ≤ X₁ ∧ X₂ ≤ 0
t₀: eval_size05_start(X₀, X₁, X₂, X₃, X₄, X₅) → eval_size05_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅)

Found invariant X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location eval_size05_bb1_in

Found invariant 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_size05_bb2_in_v1

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ for location eval_size05_bb5_in

Found invariant 1 ≤ X₅ ∧ 2 ≤ X₃+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₃ ∧ X₀ ≤ X₃ for location eval_size05_bb1_in_v2

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ for location eval_size05_bb3_in

Found invariant 1+X₅ ≤ 0 ∧ 2+X₅ ≤ X₃ ∧ 2+X₅ ≤ X₀ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_size05_bb2_in_v2

Found invariant 1+X₅ ≤ 0 ∧ 2+X₅ ≤ X₃ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₃ ∧ X₀ ≤ X₃ for location eval_size05_bb1_in_v1

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_size05_bb4_in

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ for location eval_size05_stop

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ for location eval_size05_bb1_in

Found invariant X₄ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_size05_bb2_in

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ for location eval_size05_bb5_in

Found invariant X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ for location eval_size05_bb3_in

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₁ for location eval_size05_bb4_in_v2

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_size05_bb3_in_v1

Found invariant X₄ ≤ X₂ ∧ X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₁ for location eval_size05_bb4_in_v1

Found invariant X₄ ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₁ for location eval_size05_stop

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: inf {Infinity}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: 1 {O(1)}
t₉: inf {Infinity}
t₁₀: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: inf {Infinity}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: 1 {O(1)}
t₉: inf {Infinity}
t₁₀: 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)}
t₁, X₀: X₃ {O(n)}
t₁, X₁: X₄ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₄, X₄: 2⋅X₄ {O(n)}
t₄, X₅: 2⋅X₅ {O(n)}
t₅, X₃: 2⋅X₃ {O(n)}
t₅, X₄: 2⋅X₄ {O(n)}
t₅, X₅: 0 {O(1)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₇, X₃: 4⋅X₃ {O(n)}
t₇, X₄: 4⋅X₄ {O(n)}
t₇, X₅: 2⋅X₅ {O(n)}
t₈, X₃: 8⋅X₃ {O(n)}
t₈, X₄: 8⋅X₄ {O(n)}
t₈, X₅: 4⋅X₅ {O(n)}
t₉, X₃: 4⋅X₃ {O(n)}
t₉, X₄: 4⋅X₄ {O(n)}
t₉, X₅: 2⋅X₅ {O(n)}
t₁₀, X₃: 8⋅X₃ {O(n)}
t₁₀, X₄: 8⋅X₄ {O(n)}
t₁₀, X₅: 4⋅X₅ {O(n)}