Initial Problem
Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: eval_foo_.critedge_in, 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:
t₁₃: eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₄, X₆, X₂, X₃, X₄, X₅, X₆)
t₄: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₁ ∧ X₁ ≤ 0
t₅: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ 0
t₆: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ 0
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 ≤ X₁
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₁
t₇: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₁, X₀, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁
t₈: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₀, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ X₁
t₉: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₀, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₀
t₁₁: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₁, X₂, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₁
t₁₀: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₂
t₁₂: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂-X₁, 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 [t₂: eval_foo_bb1_in→eval_foo_bb2_in]
Eliminate variables [X₃; X₅] that do not contribute to the problem
Found invariant 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb2_in
Found invariant X₁ ≤ X₄ for location eval_foo_bb1_in
Found invariant X₁ ≤ X₄ for location eval_foo_stop
Found invariant X₁ ≤ X₄ for location eval_foo_.critedge_in
Found invariant 1 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb4_in
Problem after Preprocessing
Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_foo_.critedge_in, 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:
t₂₉: eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ X₄
t₃₀: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₃, X₄, X₂, X₃, X₄)
t₃₁: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₄
t₃₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ 0 ∧ X₁ ≤ X₄
t₃₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ 0 ∧ X₁ ≤ X₄
t₃₄: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₁ ∧ 0 ≤ X₀ ∧ 0 ≤ X₁ ∧ X₁ ≤ X₄
t₃₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₁, X₀, X₂, X₃, X₄) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₄
t₃₆: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₄
t₃₇: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₄
t₃₈: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₁, X₂, X₂, X₃, X₄) :|: X₂ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₄
t₃₉: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₄
t₄₀: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂-X₁, X₃, X₄) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₄ ∧ 4 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₄
t₄₁: eval_foo_start(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄)
MPRF for transition t₃₉: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₄ of depth 1:
new bound:
X₃+X₄+2 {O(n)}
MPRF:
• eval_foo_bb1_in: [X₀+X₁-2]
• eval_foo_bb2_in: [X₀+X₁-2]
• eval_foo_bb3_in: [X₁+X₂-2]
• eval_foo_bb4_in: [X₁+X₂-3]
MPRF for transition t₄₀: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂-X₁, X₃, X₄) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₄ ∧ 4 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₄ of depth 1:
new bound:
X₃+X₄+2 {O(n)}
MPRF:
• eval_foo_bb1_in: [X₀+X₁-2]
• eval_foo_bb2_in: [X₀+X₁-2]
• eval_foo_bb3_in: [X₁+X₂-2]
• eval_foo_bb4_in: [X₁+X₂-2]
MPRF for transition t₃₆: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₀ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₄ of depth 1:
new bound:
2⋅X₃⋅X₄+X₃⋅X₃+X₄⋅X₄+2⋅X₃+3⋅X₄ {O(n^2)}
MPRF:
• eval_foo_bb1_in: [X₁]
• eval_foo_bb2_in: [X₁]
• eval_foo_bb3_in: [X₀]
• eval_foo_bb4_in: [X₀]
MPRF for transition t₃₈: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₁, X₂, X₂, X₃, X₄) :|: X₂ ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₄ of depth 1:
new bound:
2⋅X₃+2⋅X₄+2 {O(n)}
MPRF:
• eval_foo_bb1_in: [X₁-X₀]
• eval_foo_bb2_in: [X₁-X₀]
• eval_foo_bb3_in: [1]
• eval_foo_bb4_in: [1]
MPRF for transition t₃₇: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₀, X₃, X₄) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 0 ≤ X₀ ∧ X₁ ≤ X₄ of depth 1:
new bound:
2⋅X₃+2⋅X₄+3 {O(n)}
MPRF:
• eval_foo_bb1_in: [1]
• eval_foo_bb2_in: [1]
• eval_foo_bb3_in: [0]
• eval_foo_bb4_in: [0]
Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_foo_bb1_in_v1
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb1_in_v3
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v5
Found invariant X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb1_in_v2
Found invariant X₁ ≤ X₄ for location eval_foo_stop
Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ X₃ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v2
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location eval_foo_bb1_in_v4
Found invariant X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₃ ≤ X₀ ∧ X₀ ≤ X₃ for location eval_foo_bb1_in
Found invariant X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb2_in_v1
Found invariant X₁ ≤ X₄ for location eval_foo_.critedge_in
Found invariant X₄ ≤ X₀ ∧ 2 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v3
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb4_in
Found invariant X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1+X₃ ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1+X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v2
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb3_in
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ X₀ ≤ X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v4
Found invariant 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb3_in_v1
All Bounds
Timebounds
Overall timebound:inf {Infinity}
t₂₉: 1 {O(1)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₂: 1 {O(1)}
t₃₃: 1 {O(1)}
t₃₄: inf {Infinity}
t₃₅: inf {Infinity}
t₃₆: 2⋅X₃⋅X₄+X₃⋅X₃+X₄⋅X₄+2⋅X₃+3⋅X₄ {O(n^2)}
t₃₇: 2⋅X₃+2⋅X₄+3 {O(n)}
t₃₈: 2⋅X₃+2⋅X₄+2 {O(n)}
t₃₉: X₃+X₄+2 {O(n)}
t₄₀: X₃+X₄+2 {O(n)}
t₄₁: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
t₂₉: 1 {O(1)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₂: 1 {O(1)}
t₃₃: 1 {O(1)}
t₃₄: inf {Infinity}
t₃₅: inf {Infinity}
t₃₆: 2⋅X₃⋅X₄+X₃⋅X₃+X₄⋅X₄+2⋅X₃+3⋅X₄ {O(n^2)}
t₃₇: 2⋅X₃+2⋅X₄+3 {O(n)}
t₃₈: 2⋅X₃+2⋅X₄+2 {O(n)}
t₃₉: X₃+X₄+2 {O(n)}
t₄₀: X₃+X₄+2 {O(n)}
t₄₁: 1 {O(1)}
Sizebounds
t₂₉, X₀: 2⋅X₄+5⋅X₃ {O(n)}
t₂₉, X₁: 3⋅X₄+X₃ {O(n)}
t₂₉, X₂: 3⋅X₂+4⋅X₃+4⋅X₄ {O(n)}
t₂₉, X₃: 5⋅X₃ {O(n)}
t₂₉, X₄: 5⋅X₄ {O(n)}
t₃₀, X₀: X₃ {O(n)}
t₃₀, X₁: X₄ {O(n)}
t₃₀, X₂: X₂ {O(n)}
t₃₀, X₃: X₃ {O(n)}
t₃₀, X₄: X₄ {O(n)}
t₃₁, X₀: 2⋅X₃+X₄ {O(n)}
t₃₁, X₁: 0 {O(1)}
t₃₁, X₂: 2⋅X₃+2⋅X₄+X₂ {O(n)}
t₃₁, X₃: 2⋅X₃ {O(n)}
t₃₁, X₄: 2⋅X₄ {O(n)}
t₃₂, X₀: X₃ {O(n)}
t₃₂, X₁: X₄ {O(n)}
t₃₂, X₂: X₂ {O(n)}
t₃₂, X₃: X₃ {O(n)}
t₃₂, X₄: X₄ {O(n)}
t₃₃, X₀: 2⋅X₃+X₄ {O(n)}
t₃₃, X₁: 2⋅X₄+X₃ {O(n)}
t₃₃, X₂: 2⋅X₃+2⋅X₄+X₂ {O(n)}
t₃₃, X₃: 2⋅X₃ {O(n)}
t₃₃, X₄: 2⋅X₄ {O(n)}
t₃₄, X₀: X₃+X₄ {O(n)}
t₃₄, X₁: X₃+X₄ {O(n)}
t₃₄, X₂: 2⋅X₃+2⋅X₄+X₂ {O(n)}
t₃₄, X₃: X₃ {O(n)}
t₃₄, X₄: X₄ {O(n)}
t₃₅, X₀: X₃+X₄ {O(n)}
t₃₅, X₁: X₃+X₄ {O(n)}
t₃₅, X₂: 2⋅X₃+2⋅X₄+X₂ {O(n)}
t₃₅, X₃: X₃ {O(n)}
t₃₅, X₄: X₄ {O(n)}
t₃₆, X₀: X₃+X₄ {O(n)}
t₃₆, X₁: X₃+X₄ {O(n)}
t₃₆, X₂: X₃+X₄ {O(n)}
t₃₆, X₃: X₃ {O(n)}
t₃₆, X₄: X₄ {O(n)}
t₃₇, X₀: X₃+X₄ {O(n)}
t₃₇, X₁: X₃+X₄ {O(n)}
t₃₇, X₂: X₃+X₄ {O(n)}
t₃₇, X₃: X₃ {O(n)}
t₃₇, X₄: X₄ {O(n)}
t₃₈, X₀: X₃+X₄ {O(n)}
t₃₈, X₁: X₃+X₄ {O(n)}
t₃₈, X₂: 2⋅X₃+2⋅X₄ {O(n)}
t₃₈, X₃: X₃ {O(n)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: X₃+X₄ {O(n)}
t₃₉, X₁: X₃+X₄ {O(n)}
t₃₉, X₂: X₃+X₄ {O(n)}
t₃₉, X₃: X₃ {O(n)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: X₃+X₄ {O(n)}
t₄₀, X₁: X₃+X₄ {O(n)}
t₄₀, X₂: X₃+X₄ {O(n)}
t₄₀, X₃: X₃ {O(n)}
t₄₀, X₄: X₄ {O(n)}
t₄₁, X₀: X₀ {O(n)}
t₄₁, X₁: X₁ {O(n)}
t₄₁, X₂: X₂ {O(n)}
t₄₁, X₃: X₃ {O(n)}
t₄₁, X₄: X₄ {O(n)}