Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: nondef.0
Locations: eval_foo_.critedge_in, eval_foo_2, eval_foo_3, 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:
t₁₆: eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄)
t₁₀: eval_foo_2(X₀, X₁, X₂, X₃, X₄) → eval_foo_3(X₀, nondef.0, X₂, X₃, X₄)
t₁₃: eval_foo_3(X₀, X₁, X₂, X₃, X₄) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₁ ∧ X₁ ≤ 0
t₁₁: eval_foo_3(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₁ ≤ 0
t₁₂: eval_foo_3(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₁
t₂: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ 0
t₃: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₂
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₃ ∧ 0 ≤ X₂
t₄: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(1+X₂, X₁, X₂, X₃, X₄)
t₇: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ X₀ ∧ X₀ ≤ X₂
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ X₂
t₆: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₀
t₈: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_2(X₀, X₁, X₂, X₃, X₄)
t₁₄: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(1+X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃
t₁₅: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(0, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄)

Preprocessing

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

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location eval_foo_2

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location eval_foo_bb3_in

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location eval_foo_3

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location eval_foo_bb2_in

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ for location eval_foo_bb1_in

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef.0
Locations: eval_foo_.critedge_in, eval_foo_2, eval_foo_3, 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:
t₃₂: eval_foo_.critedge_in(X₀, X₁, X₂, X₃) → eval_foo_stop(X₀, X₁, X₂, X₃)
t₃₃: eval_foo_2(X₀, X₁, X₂, X₃) → eval_foo_3(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₃₄: eval_foo_3(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₃₅: eval_foo_3(X₀, X₁, X₂, X₃) → eval_foo_bb4_in(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₃₆: eval_foo_3(X₀, X₁, X₂, X₃) → eval_foo_bb4_in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₃₇: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ 0
t₃₈: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₂
t₃₉: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₃ ∧ 0 ≤ X₂
t₄₀: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(1+X₂, X₁, X₂, X₃) :|: 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₄₁: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₄₂: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₄₃: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₄₄: eval_foo_bb3_in(X₀, X₁, X₂, X₃) → eval_foo_2(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₄₅: eval_foo_bb4_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₄₆: eval_foo_bb4_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(0, X₁, X₂, X₃) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₄₇: eval_foo_start(X₀, X₁, X₂, X₃) → eval_foo_bb0_in(X₀, X₁, X₂, X₃)

Cut unreachable locations [eval_foo_3] from the program graph

Cut unsatisfiable transition [t₄₁: eval_foo_bb2_in→eval_foo_.critedge_in; t₈₈: eval_foo_bb2_in→eval_foo_bb3_in_v2; t₈₉: eval_foo_bb2_in→eval_foo_.critedge_in]

Cut unreachable locations [eval_foo_2_v1; eval_foo_3_v1; eval_foo_bb2_in_v1; eval_foo_bb3_in_v2; eval_foo_bb4_in_v1; eval_foo_bb4_in_v2] from the program graph

Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v5

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ 1+X₀+X₁ ≤ 0 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb4_in_v8

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

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀ for location eval_foo_bb4_in_v4

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location eval_foo_bb3_in_v3

Found invariant 4 ≤ X₃ ∧ 7 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 6 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₀ for location eval_foo_bb3_in_v6

Found invariant 4 ≤ X₃ ∧ 7 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 5 ≤ X₁+X₃ ∧ 6 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 5 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb4_in_v11

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb3_in_v4

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location eval_foo_2_v3

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location eval_foo_bb4_in_v5

Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_2_v5

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v4

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location eval_foo_2_v2

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location eval_foo_bb2_in

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb4_in_v3

Found invariant 4 ≤ X₃ ∧ 7 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 6 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₀ for location eval_foo_2_v6

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb4_in_v7

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location eval_foo_3_v3

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ for location eval_foo_bb1_in

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location eval_foo_3_v2

Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_3_v5

Found invariant 4 ≤ X₃ ∧ 7 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 6 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₀ for location eval_foo_3_v6

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location eval_foo_bb2_in_v3

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_2_v4

Found invariant 4 ≤ X₃ ∧ 7 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 5+X₁ ≤ X₃ ∧ 6 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4+X₁ ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀ for location eval_foo_bb4_in_v12

Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb3_in_v5

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_3_v4

Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4+X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ X₀+X₁ ≤ 0 ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb4_in_v10

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀ for location eval_foo_bb4_in_v6

Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location eval_foo_bb3_in_v1

Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb4_in_v9

Cut unsatisfiable transition [t₁₀₄: eval_foo_bb4_in_v4→eval_foo_bb2_in_v2; t₁₄₃: eval_foo_bb4_in_v3→eval_foo_bb2_in_v2]

Analysing control-flow refined program

MPRF for transition t₁₀₆: eval_foo_bb2_in_v3(X₀, X₁, X₂, X₃) → eval_foo_bb3_in_v3(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+8 {O(n)}

MPRF:

• eval_foo_2_v3: [1+X₃-X₀]
• eval_foo_3_v3: [1+X₃-X₀]
• eval_foo_bb2_in_v3: [2+X₃-X₀]
• eval_foo_bb3_in_v3: [1+X₃-X₀]
• eval_foo_bb4_in_v5: [1+X₃-X₀]
• eval_foo_bb4_in_v6: [1+X₃-X₀]

MPRF for transition t₁₀₇: eval_foo_bb3_in_v3(X₀, X₁, X₂, X₃) → eval_foo_2_v3(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+8 {O(n)}

MPRF:

• eval_foo_2_v3: [1+X₃-X₀]
• eval_foo_3_v3: [1+X₃-X₀]
• eval_foo_bb2_in_v3: [2+X₃-X₀]
• eval_foo_bb3_in_v3: [2+X₃-X₀]
• eval_foo_bb4_in_v5: [1+X₃-X₀]
• eval_foo_bb4_in_v6: [1+X₃-X₀]

MPRF for transition t₁₀₈: eval_foo_2_v3(X₀, X₁, X₂, X₃) → eval_foo_3_v3(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+8 {O(n)}

MPRF:

• eval_foo_2_v3: [2+X₃-X₀]
• eval_foo_3_v3: [1+X₃-X₀]
• eval_foo_bb2_in_v3: [2+X₃-X₀]
• eval_foo_bb3_in_v3: [2+X₃-X₀]
• eval_foo_bb4_in_v5: [1+X₃-X₀]
• eval_foo_bb4_in_v6: [1+X₃-X₀]

MPRF for transition t₁₀₉: eval_foo_3_v3(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v5(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+8 {O(n)}

MPRF:

• eval_foo_2_v3: [2+X₃-X₀]
• eval_foo_3_v3: [2+X₃-X₀]
• eval_foo_bb2_in_v3: [2+X₃-X₀]
• eval_foo_bb3_in_v3: [2+X₃-X₀]
• eval_foo_bb4_in_v5: [1+X₃-X₀]
• eval_foo_bb4_in_v6: [1+X₃-X₀]

MPRF for transition t₁₁₀: eval_foo_3_v3(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v6(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+8 {O(n)}

MPRF:

• eval_foo_2_v3: [2+X₃-X₀]
• eval_foo_3_v3: [2+X₃-X₀]
• eval_foo_bb2_in_v3: [2+X₃-X₀]
• eval_foo_bb3_in_v3: [2+X₃-X₀]
• eval_foo_bb4_in_v5: [1+X₃-X₀]
• eval_foo_bb4_in_v6: [1+X₃-X₀]

MPRF for transition t₁₁₃: eval_foo_bb4_in_v6(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v3(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2+X₁ ≤ X₃ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+6 {O(n)}

MPRF:

• eval_foo_2_v3: [1+X₃-X₀]
• eval_foo_3_v3: [1+X₃-X₀]
• eval_foo_bb2_in_v3: [1+X₃-X₀]
• eval_foo_bb3_in_v3: [1+X₃-X₀]
• eval_foo_bb4_in_v5: [X₃-X₀]
• eval_foo_bb4_in_v6: [1+X₃-X₀]

MPRF for transition t₁₁₅: eval_foo_bb4_in_v5(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v3(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

2⋅X₂+2⋅X₃+8 {O(n)}

MPRF:

• eval_foo_2_v3: [2+X₃-X₀]
• eval_foo_3_v3: [2+X₃-X₀]
• eval_foo_bb2_in_v3: [2+X₃-X₀]
• eval_foo_bb3_in_v3: [2+X₃-X₀]
• eval_foo_bb4_in_v5: [2+X₃-X₀]
• eval_foo_bb4_in_v6: [1+X₃-X₀]

MPRF for transition t₁₃₂: eval_foo_bb2_in_v5(X₀, X₁, X₂, X₃) → eval_foo_bb3_in_v6(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₂ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

16⋅X₃+6 {O(n)}

MPRF:

• eval_foo_2_v6: [X₃-X₀]
• eval_foo_3_v6: [X₃-X₀]
• eval_foo_bb2_in_v5: [1+X₃-X₀]
• eval_foo_bb3_in_v6: [X₃-X₀]
• eval_foo_bb4_in_v11: [X₃-X₀]
• eval_foo_bb4_in_v12: [X₃-X₀]

MPRF for transition t₁₃₄: eval_foo_bb3_in_v6(X₀, X₁, X₂, X₃) → eval_foo_2_v6(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

16⋅X₃+8 {O(n)}

MPRF:

• eval_foo_2_v6: [1+X₃-X₀]
• eval_foo_3_v6: [1+X₃-X₀]
• eval_foo_bb2_in_v5: [2+X₃-X₀]
• eval_foo_bb3_in_v6: [2+X₃-X₀]
• eval_foo_bb4_in_v11: [1+X₃-X₀]
• eval_foo_bb4_in_v12: [1+X₃-X₀]

MPRF for transition t₁₃₅: eval_foo_2_v6(X₀, X₁, X₂, X₃) → eval_foo_3_v6(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

16⋅X₂+4 {O(n)}

MPRF:

• eval_foo_2_v6: [X₂-X₀]
• eval_foo_3_v6: [X₂-1-X₀]
• eval_foo_bb2_in_v5: [X₂-X₀]
• eval_foo_bb3_in_v6: [X₂-X₀]
• eval_foo_bb4_in_v11: [X₂-1-X₀]
• eval_foo_bb4_in_v12: [X₂-1-X₀]

MPRF for transition t₁₃₆: eval_foo_3_v6(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v11(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

16⋅X₂+4 {O(n)}

MPRF:

• eval_foo_2_v6: [X₂-X₀]
• eval_foo_3_v6: [X₂-X₀]
• eval_foo_bb2_in_v5: [X₂-X₀]
• eval_foo_bb3_in_v6: [X₂-X₀]
• eval_foo_bb4_in_v11: [X₂-1-X₀]
• eval_foo_bb4_in_v12: [X₂-X₀]

MPRF for transition t₁₃₇: eval_foo_3_v6(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v12(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

16⋅X₃+6 {O(n)}

MPRF:

• eval_foo_2_v6: [X₃-1-X₀]
• eval_foo_3_v6: [X₃-1-X₀]
• eval_foo_bb2_in_v5: [X₃-1-X₀]
• eval_foo_bb3_in_v6: [X₃-1-X₀]
• eval_foo_bb4_in_v11: [X₃-1-X₀]
• eval_foo_bb4_in_v12: [X₃-2-X₀]

MPRF for transition t₁₃₉: eval_foo_bb4_in_v12(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v5(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₂ ∧ 4+X₁ ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 5+X₁ ≤ X₃ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

16⋅X₃+6 {O(n)}

MPRF:

• eval_foo_2_v6: [1+X₃-X₀]
• eval_foo_3_v6: [1+X₃-X₀]
• eval_foo_bb2_in_v5: [1+X₃-X₀]
• eval_foo_bb3_in_v6: [1+X₃-X₀]
• eval_foo_bb4_in_v11: [1+X₃-X₀]
• eval_foo_bb4_in_v12: [1+X₃-X₀]

MPRF for transition t₁₄₀: eval_foo_bb4_in_v11(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v5(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₁+X₃ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂ of depth 1:

new bound:

32⋅X₃+4 {O(n)}

MPRF:

• eval_foo_2_v6: [2⋅X₃-X₀]
• eval_foo_3_v6: [2⋅X₃-X₀]
• eval_foo_bb2_in_v5: [2⋅X₃-X₀]
• eval_foo_bb3_in_v6: [2⋅X₃-X₀]
• eval_foo_bb4_in_v11: [2⋅X₃-X₀]
• eval_foo_bb4_in_v12: [2⋅X₃-X₀]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

cfr-program:

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef.0
Locations: eval_foo_.critedge_in, eval_foo_2_v2, eval_foo_2_v3, eval_foo_2_v4, eval_foo_2_v5, eval_foo_2_v6, eval_foo_3_v2, eval_foo_3_v3, eval_foo_3_v4, eval_foo_3_v5, eval_foo_3_v6, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb2_in_v2, eval_foo_bb2_in_v3, eval_foo_bb2_in_v4, eval_foo_bb2_in_v5, eval_foo_bb3_in_v1, eval_foo_bb3_in_v3, eval_foo_bb3_in_v4, eval_foo_bb3_in_v5, eval_foo_bb3_in_v6, eval_foo_bb4_in_v10, eval_foo_bb4_in_v11, eval_foo_bb4_in_v12, eval_foo_bb4_in_v3, eval_foo_bb4_in_v4, eval_foo_bb4_in_v5, eval_foo_bb4_in_v6, eval_foo_bb4_in_v7, eval_foo_bb4_in_v8, eval_foo_bb4_in_v9, eval_foo_start, eval_foo_stop
Transitions:
t₃₂: eval_foo_.critedge_in(X₀, X₁, X₂, X₃) → eval_foo_stop(X₀, X₁, X₂, X₃)
t₁₀₀: eval_foo_2_v2(X₀, X₁, X₂, X₃) → eval_foo_3_v2(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₀₈: eval_foo_2_v3(X₀, X₁, X₂, X₃) → eval_foo_3_v3(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₁₉: eval_foo_2_v4(X₀, X₁, X₂, X₃) → eval_foo_3_v4(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂
t₁₂₇: eval_foo_2_v5(X₀, X₁, X₂, X₃) → eval_foo_3_v5(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₃₅: eval_foo_2_v6(X₀, X₁, X₂, X₃) → eval_foo_3_v6(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₀₃: eval_foo_3_v2(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₀₁: eval_foo_3_v2(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v3(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₀₂: eval_foo_3_v2(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v4(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₁₁: eval_foo_3_v3(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₀₉: eval_foo_3_v3(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v5(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₁₀: eval_foo_3_v3(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v6(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₂₂: eval_foo_3_v4(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂
t₁₂₀: eval_foo_3_v4(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v7(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂
t₁₂₁: eval_foo_3_v4(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v8(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂
t₁₃₀: eval_foo_3_v5(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₂₉: eval_foo_3_v5(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v10(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₂₈: eval_foo_3_v5(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v9(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₃₈: eval_foo_3_v6(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₃₆: eval_foo_3_v6(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v11(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₃₇: eval_foo_3_v6(X₀, X₁, X₂, X₃) → eval_foo_bb4_in_v12(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₃₇: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ 0
t₃₈: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₂
t₃₉: eval_foo_bb0_in(X₀, X₁, X₂, X₃) → eval_foo_bb1_in(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₃ ∧ 0 ≤ X₂
t₄₀: eval_foo_bb1_in(X₀, X₁, X₂, X₃) → eval_foo_bb2_in(1+X₂, X₁, X₂, X₃) :|: 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₂
t₈₇: eval_foo_bb2_in(X₀, X₁, X₂, X₃) → eval_foo_bb3_in_v1(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₁₇: eval_foo_bb2_in_v2(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₁₆: eval_foo_bb2_in_v2(X₀, X₁, X₂, X₃) → eval_foo_bb3_in_v4(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ 0 ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₀₆: eval_foo_bb2_in_v3(X₀, X₁, X₂, X₃) → eval_foo_bb3_in_v3(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂
t₁₂₅: eval_foo_bb2_in_v4(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₂₄: eval_foo_bb2_in_v4(X₀, X₁, X₂, X₃) → eval_foo_bb3_in_v5(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₃₃: eval_foo_bb2_in_v5(X₀, X₁, X₂, X₃) → eval_foo_.critedge_in(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₃₂: eval_foo_bb2_in_v5(X₀, X₁, X₂, X₃) → eval_foo_bb3_in_v6(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₂ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₉₉: eval_foo_bb3_in_v1(X₀, X₁, X₂, X₃) → eval_foo_2_v2(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₂
t₁₀₇: eval_foo_bb3_in_v3(X₀, X₁, X₂, X₃) → eval_foo_2_v3(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₁₈: eval_foo_bb3_in_v4(X₀, X₁, X₂, X₃) → eval_foo_2_v4(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂
t₁₂₆: eval_foo_bb3_in_v5(X₀, X₁, X₂, X₃) → eval_foo_2_v5(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₃₄: eval_foo_bb3_in_v6(X₀, X₁, X₂, X₃) → eval_foo_2_v6(X₀, X₁, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₃₁: eval_foo_bb4_in_v10(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v5(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁ ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3+X₁ ≤ X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 4+X₁ ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ X₀+X₁ ≤ 0 ∧ 0 ≤ X₂
t₁₄₀: eval_foo_bb4_in_v11(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v5(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₁+X₃ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₃₉: eval_foo_bb4_in_v12(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v5(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2+X₀ ≤ X₃ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₂ ∧ 4+X₁ ≤ X₂ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₂ ∧ 5+X₁ ≤ X₃ ∧ 6 ≤ X₀+X₃ ∧ 7 ≤ X₂+X₃ ∧ 0 ≤ X₂
t₁₄₄: eval_foo_bb4_in_v3(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v3(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₃ ∧ 0 ≤ X₂
t₁₀₅: eval_foo_bb4_in_v4(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v3(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁ ≤ X₀ ∧ 2 ≤ X₀+X₃ ∧ 2+X₁ ≤ X₃ ∧ 0 ≤ X₂
t₁₁₄: eval_foo_bb4_in_v5(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v2(0, X₁, X₂, X₃) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₁₅: eval_foo_bb4_in_v5(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v3(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₁₂: eval_foo_bb4_in_v6(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v2(0, X₁, X₂, X₃) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2+X₁ ≤ X₃ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₁₃: eval_foo_bb4_in_v6(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v3(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀ ∧ 2 ≤ X₀+X₂ ∧ 2+X₂ ≤ X₀ ∧ 2+X₁ ≤ X₃ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₃ ∧ 0 ≤ X₂
t₁₄₂: eval_foo_bb4_in_v7(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v4(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂
t₁₂₃: eval_foo_bb4_in_v8(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v4(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀+X₁ ≤ 0 ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2+X₁ ≤ X₂ ∧ 2 ≤ X₃ ∧ 3+X₁ ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ X₂
t₁₄₁: eval_foo_bb4_in_v9(X₀, X₁, X₂, X₃) → eval_foo_bb2_in_v5(1+X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 1 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2 ≤ X₀+X₁ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₃ ∧ 5 ≤ X₂+X₃ ∧ X₀ ≤ X₁ ∧ 0 ≤ X₂
t₄₇: eval_foo_start(X₀, X₁, X₂, X₃) → eval_foo_bb0_in(X₀, X₁, X₂, X₃)

All Bounds

Timebounds

Overall timebound:110⋅X₃+46⋅X₂+129 {O(n)}
t₃₂: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}
t₄₇: 1 {O(1)}
t₈₇: 1 {O(1)}
t₉₉: 1 {O(1)}
t₁₀₀: 1 {O(1)}
t₁₀₁: 1 {O(1)}
t₁₀₂: 1 {O(1)}
t₁₀₃: 1 {O(1)}
t₁₀₅: 1 {O(1)}
t₁₀₆: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₀₇: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₀₈: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₀₉: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₁₀: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₁₁: 1 {O(1)}
t₁₁₂: 1 {O(1)}
t₁₁₃: 2⋅X₂+2⋅X₃+6 {O(n)}
t₁₁₄: 1 {O(1)}
t₁₁₅: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₁₆: 1 {O(1)}
t₁₁₇: 1 {O(1)}
t₁₁₈: 1 {O(1)}
t₁₁₉: 1 {O(1)}
t₁₂₀: 1 {O(1)}
t₁₂₁: 1 {O(1)}
t₁₂₂: 1 {O(1)}
t₁₂₃: 1 {O(1)}
t₁₂₄: 1 {O(1)}
t₁₂₅: 1 {O(1)}
t₁₂₆: 1 {O(1)}
t₁₂₇: 1 {O(1)}
t₁₂₈: 1 {O(1)}
t₁₂₉: 1 {O(1)}
t₁₃₀: 1 {O(1)}
t₁₃₁: 1 {O(1)}
t₁₃₂: 16⋅X₃+6 {O(n)}
t₁₃₃: 1 {O(1)}
t₁₃₄: 16⋅X₃+8 {O(n)}
t₁₃₅: 16⋅X₂+4 {O(n)}
t₁₃₆: 16⋅X₂+4 {O(n)}
t₁₃₇: 16⋅X₃+6 {O(n)}
t₁₃₈: 1 {O(1)}
t₁₃₉: 16⋅X₃+6 {O(n)}
t₁₄₀: 32⋅X₃+4 {O(n)}
t₁₄₁: 1 {O(1)}
t₁₄₂: 1 {O(1)}
t₁₄₄: 1 {O(1)}

Costbounds

Overall costbound: 110⋅X₃+46⋅X₂+129 {O(n)}
t₃₂: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}
t₄₇: 1 {O(1)}
t₈₇: 1 {O(1)}
t₉₉: 1 {O(1)}
t₁₀₀: 1 {O(1)}
t₁₀₁: 1 {O(1)}
t₁₀₂: 1 {O(1)}
t₁₀₃: 1 {O(1)}
t₁₀₅: 1 {O(1)}
t₁₀₆: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₀₇: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₀₈: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₀₉: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₁₀: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₁₁: 1 {O(1)}
t₁₁₂: 1 {O(1)}
t₁₁₃: 2⋅X₂+2⋅X₃+6 {O(n)}
t₁₁₄: 1 {O(1)}
t₁₁₅: 2⋅X₂+2⋅X₃+8 {O(n)}
t₁₁₆: 1 {O(1)}
t₁₁₇: 1 {O(1)}
t₁₁₈: 1 {O(1)}
t₁₁₉: 1 {O(1)}
t₁₂₀: 1 {O(1)}
t₁₂₁: 1 {O(1)}
t₁₂₂: 1 {O(1)}
t₁₂₃: 1 {O(1)}
t₁₂₄: 1 {O(1)}
t₁₂₅: 1 {O(1)}
t₁₂₆: 1 {O(1)}
t₁₂₇: 1 {O(1)}
t₁₂₈: 1 {O(1)}
t₁₂₉: 1 {O(1)}
t₁₃₀: 1 {O(1)}
t₁₃₁: 1 {O(1)}
t₁₃₂: 16⋅X₃+6 {O(n)}
t₁₃₃: 1 {O(1)}
t₁₃₄: 16⋅X₃+8 {O(n)}
t₁₃₅: 16⋅X₂+4 {O(n)}
t₁₃₆: 16⋅X₂+4 {O(n)}
t₁₃₇: 16⋅X₃+6 {O(n)}
t₁₃₈: 1 {O(1)}
t₁₃₉: 16⋅X₃+6 {O(n)}
t₁₄₀: 32⋅X₃+4 {O(n)}
t₁₄₁: 1 {O(1)}
t₁₄₂: 1 {O(1)}
t₁₄₄: 1 {O(1)}

Sizebounds

t₃₂, X₀: 148⋅X₃+2⋅X₀+7⋅X₂+67 {O(n)}
t₃₂, X₂: 81⋅X₂+1 {O(n)}
t₃₂, X₃: 93⋅X₃ {O(n)}
t₃₇, X₀: X₀ {O(n)}
t₃₇, X₁: X₁ {O(n)}
t₃₇, X₂: X₂ {O(n)}
t₃₇, X₃: X₃ {O(n)}
t₃₈, X₀: X₀ {O(n)}
t₃₈, X₁: X₁ {O(n)}
t₃₈, X₂: X₂ {O(n)}
t₃₈, X₃: X₃ {O(n)}
t₃₉, X₀: X₀ {O(n)}
t₃₉, X₁: X₁ {O(n)}
t₃₉, X₂: X₂ {O(n)}
t₃₉, X₃: X₃ {O(n)}
t₄₀, X₀: X₂+1 {O(n)}
t₄₀, X₁: X₁ {O(n)}
t₄₀, X₂: X₂ {O(n)}
t₄₀, X₃: X₃ {O(n)}
t₄₇, X₀: X₀ {O(n)}
t₄₇, X₁: X₁ {O(n)}
t₄₇, X₂: X₂ {O(n)}
t₄₇, X₃: X₃ {O(n)}
t₈₇, X₀: X₂+1 {O(n)}
t₈₇, X₁: X₁ {O(n)}
t₈₇, X₂: X₂ {O(n)}
t₈₇, X₃: X₃ {O(n)}
t₉₉, X₀: X₂+1 {O(n)}
t₉₉, X₁: X₁ {O(n)}
t₉₉, X₂: X₂ {O(n)}
t₉₉, X₃: X₃ {O(n)}
t₁₀₀, X₀: X₂+1 {O(n)}
t₁₀₀, X₂: X₂ {O(n)}
t₁₀₀, X₃: X₃ {O(n)}
t₁₀₁, X₀: X₂+1 {O(n)}
t₁₀₁, X₂: X₂ {O(n)}
t₁₀₁, X₃: X₃ {O(n)}
t₁₀₂, X₀: X₂+1 {O(n)}
t₁₀₂, X₂: X₂ {O(n)}
t₁₀₂, X₃: X₃ {O(n)}
t₁₀₃, X₀: X₂+1 {O(n)}
t₁₀₃, X₁: 0 {O(1)}
t₁₀₃, X₂: X₂ {O(n)}
t₁₀₃, X₃: X₃ {O(n)}
t₁₀₅, X₀: X₂+2 {O(n)}
t₁₀₅, X₂: X₂ {O(n)}
t₁₀₅, X₃: X₃ {O(n)}
t₁₀₆, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₀₆, X₂: 2⋅X₂ {O(n)}
t₁₀₆, X₃: 2⋅X₃ {O(n)}
t₁₀₇, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₀₇, X₂: 2⋅X₂ {O(n)}
t₁₀₇, X₃: 2⋅X₃ {O(n)}
t₁₀₈, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₀₈, X₂: 2⋅X₂ {O(n)}
t₁₀₈, X₃: 2⋅X₃ {O(n)}
t₁₀₉, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₀₉, X₂: 2⋅X₂ {O(n)}
t₁₀₉, X₃: 2⋅X₃ {O(n)}
t₁₁₀, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₁₀, X₂: 2⋅X₂ {O(n)}
t₁₁₀, X₃: 2⋅X₃ {O(n)}
t₁₁₁, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₁₁, X₁: 0 {O(1)}
t₁₁₁, X₂: 2⋅X₂ {O(n)}
t₁₁₁, X₃: 2⋅X₃ {O(n)}
t₁₁₂, X₀: 0 {O(1)}
t₁₁₂, X₂: 2⋅X₂ {O(n)}
t₁₁₂, X₃: 2⋅X₃ {O(n)}
t₁₁₃, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₁₃, X₂: 2⋅X₂ {O(n)}
t₁₁₃, X₃: 2⋅X₃ {O(n)}
t₁₁₄, X₀: 0 {O(1)}
t₁₁₄, X₂: 2⋅X₂ {O(n)}
t₁₁₄, X₃: 2⋅X₃ {O(n)}
t₁₁₅, X₀: 4⋅X₃+6⋅X₂+18 {O(n)}
t₁₁₅, X₂: 2⋅X₂ {O(n)}
t₁₁₅, X₃: 2⋅X₃ {O(n)}
t₁₁₆, X₀: 0 {O(1)}
t₁₁₆, X₂: 4⋅X₂ {O(n)}
t₁₁₆, X₃: 4⋅X₃ {O(n)}
t₁₁₇, X₀: 0 {O(1)}
t₁₁₇, X₂: 0 {O(1)}
t₁₁₇, X₃: 4⋅X₃ {O(n)}
t₁₁₈, X₀: 0 {O(1)}
t₁₁₈, X₂: 4⋅X₂ {O(n)}
t₁₁₈, X₃: 4⋅X₃ {O(n)}
t₁₁₉, X₀: 0 {O(1)}
t₁₁₉, X₂: 4⋅X₂ {O(n)}
t₁₁₉, X₃: 4⋅X₃ {O(n)}
t₁₂₀, X₀: 0 {O(1)}
t₁₂₀, X₂: 4⋅X₂ {O(n)}
t₁₂₀, X₃: 4⋅X₃ {O(n)}
t₁₂₁, X₀: 0 {O(1)}
t₁₂₁, X₂: 4⋅X₂ {O(n)}
t₁₂₁, X₃: 4⋅X₃ {O(n)}
t₁₂₂, X₀: 0 {O(1)}
t₁₂₂, X₁: 0 {O(1)}
t₁₂₂, X₂: 4⋅X₂ {O(n)}
t₁₂₂, X₃: 4⋅X₃ {O(n)}
t₁₂₃, X₀: 1 {O(1)}
t₁₂₃, X₂: 4⋅X₂ {O(n)}
t₁₂₃, X₃: 4⋅X₃ {O(n)}
t₁₂₄, X₀: 1 {O(1)}
t₁₂₄, X₂: 8⋅X₂ {O(n)}
t₁₂₄, X₃: 8⋅X₃ {O(n)}
t₁₂₅, X₀: 1 {O(1)}
t₁₂₅, X₂: 1 {O(1)}
t₁₂₅, X₃: 8⋅X₃ {O(n)}
t₁₂₆, X₀: 1 {O(1)}
t₁₂₆, X₂: 8⋅X₂ {O(n)}
t₁₂₆, X₃: 8⋅X₃ {O(n)}
t₁₂₇, X₀: 1 {O(1)}
t₁₂₇, X₂: 8⋅X₂ {O(n)}
t₁₂₇, X₃: 8⋅X₃ {O(n)}
t₁₂₈, X₀: 1 {O(1)}
t₁₂₈, X₂: 8⋅X₂ {O(n)}
t₁₂₈, X₃: 8⋅X₃ {O(n)}
t₁₂₉, X₀: 1 {O(1)}
t₁₂₉, X₂: 8⋅X₂ {O(n)}
t₁₂₉, X₃: 8⋅X₃ {O(n)}
t₁₃₀, X₀: 1 {O(1)}
t₁₃₀, X₁: 0 {O(1)}
t₁₃₀, X₂: 8⋅X₂ {O(n)}
t₁₃₀, X₃: 8⋅X₃ {O(n)}
t₁₃₁, X₀: 2 {O(1)}
t₁₃₁, X₂: 8⋅X₂ {O(n)}
t₁₃₁, X₃: 8⋅X₃ {O(n)}
t₁₃₂, X₀: 48⋅X₃+14 {O(n)}
t₁₃₂, X₂: 16⋅X₂ {O(n)}
t₁₃₂, X₃: 16⋅X₃ {O(n)}
t₁₃₃, X₀: 96⋅X₃+32 {O(n)}
t₁₃₃, X₂: 48⋅X₂ {O(n)}
t₁₃₃, X₃: 48⋅X₃ {O(n)}
t₁₃₄, X₀: 48⋅X₃+14 {O(n)}
t₁₃₄, X₂: 16⋅X₂ {O(n)}
t₁₃₄, X₃: 16⋅X₃ {O(n)}
t₁₃₅, X₀: 48⋅X₃+14 {O(n)}
t₁₃₅, X₂: 16⋅X₂ {O(n)}
t₁₃₅, X₃: 16⋅X₃ {O(n)}
t₁₃₆, X₀: 48⋅X₃+14 {O(n)}
t₁₃₆, X₂: 16⋅X₂ {O(n)}
t₁₃₆, X₃: 16⋅X₃ {O(n)}
t₁₃₇, X₀: 48⋅X₃+14 {O(n)}
t₁₃₇, X₂: 16⋅X₂ {O(n)}
t₁₃₇, X₃: 16⋅X₃ {O(n)}
t₁₃₈, X₀: 48⋅X₃+14 {O(n)}
t₁₃₈, X₁: 0 {O(1)}
t₁₃₈, X₂: 16⋅X₂ {O(n)}
t₁₃₈, X₃: 16⋅X₃ {O(n)}
t₁₃₉, X₀: 48⋅X₃+14 {O(n)}
t₁₃₉, X₂: 16⋅X₂ {O(n)}
t₁₃₉, X₃: 16⋅X₃ {O(n)}
t₁₄₀, X₀: 48⋅X₃+14 {O(n)}
t₁₄₀, X₂: 16⋅X₂ {O(n)}
t₁₄₀, X₃: 16⋅X₃ {O(n)}
t₁₄₁, X₀: 2 {O(1)}
t₁₄₁, X₂: 8⋅X₂ {O(n)}
t₁₄₁, X₃: 8⋅X₃ {O(n)}
t₁₄₂, X₀: 1 {O(1)}
t₁₄₂, X₂: 4⋅X₂ {O(n)}
t₁₄₂, X₃: 4⋅X₃ {O(n)}
t₁₄₄, X₀: X₂+2 {O(n)}
t₁₄₄, X₂: X₂ {O(n)}
t₁₄₄, X₃: X₃ {O(n)}