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_10, eval_foo_11, eval_foo_2, eval_foo_3, eval_foo_4, eval_foo_5, eval_foo_6, eval_foo_7, 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:
t₂: eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₃: eval_foo_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_11(X₀, X₁, nondef_0, X₃, X₄, X₅, X₆)
t₁₅: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₁, X₀) :|: X₂ ≤ 0
t₁₄: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₁, X₅, X₆) :|: 1 ≤ X₂
t₄: eval_foo_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: eval_foo_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₈: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₉: eval_foo_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, 0, X₃)
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆
t₁₁: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ 0
t₁₂: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_10(X₆-1, 1+X₅, X₂, X₃, X₄, X₅, X₆)
t₁₇: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, 0, X₀) :|: X₄ ≤ 0
t₁₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄
t₁₈: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄-1, X₅, X₆)
t₁₉: 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 X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ for location eval_foo_bb5_in

Found invariant X₆ ≤ X₃ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_10

Found invariant X₆ ≤ X₃ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_11

Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ for location eval_foo_stop

Found invariant X₆ ≤ X₃ ∧ 0 ≤ X₅ for location eval_foo_bb1_in

Found invariant X₆ ≤ X₃ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb4_in

Found invariant X₆ ≤ X₃ ∧ X₆ ≤ 1+X₀ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₁ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 0 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location eval_foo_bb3_in

Found invariant X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃ for location eval_foo_bb2_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_10, eval_foo_11, eval_foo_2, eval_foo_3, eval_foo_4, eval_foo_5, eval_foo_6, eval_foo_7, 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:
t₂: eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: eval_foo_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₃: eval_foo_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_11(X₀, X₁, nondef_0, X₃, X₄, X₅, X₆) :|: X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅
t₁₅: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₁, X₀) :|: X₂ ≤ 0 ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅
t₁₄: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₁, X₅, X₆) :|: 1 ≤ X₂ ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅
t₄: eval_foo_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: eval_foo_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: eval_foo_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: eval_foo_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₈: eval_foo_6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₉: eval_foo_7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, 0, X₃)
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅
t₁₁: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ 0 ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅
t₁₂: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_10(X₆-1, 1+X₅, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅
t₁₇: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, 0, X₀) :|: X₄ ≤ 0 ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₅
t₁₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄ ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₅
t₁₈: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄-1, X₅, X₆) :|: X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅
t₁₉: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ X₃ ∧ 0 ≤ X₅ ∧ X₆ ≤ X₅ ∧ X₆ ≤ 0
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

MPRF for transition t₁₀: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_10: [X₀]
• eval_foo_11: [X₀]
• eval_foo_bb1_in: [X₆]
• eval_foo_bb2_in: [X₆-1]
• eval_foo_bb3_in: [X₀]
• eval_foo_bb4_in: [X₀]

MPRF for transition t₁₂: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_10(X₆-1, 1+X₅, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₃+X₆ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_10: [X₆-1]
• eval_foo_11: [X₀]
• eval_foo_bb1_in: [X₆]
• eval_foo_bb2_in: [X₆]
• eval_foo_bb3_in: [X₀]
• eval_foo_bb4_in: [X₀]

MPRF for transition t₁₃: eval_foo_10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_11(X₀, X₁, nondef_0, X₃, X₄, X₅, X₆) :|: X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_10: [X₆]
• eval_foo_11: [X₆-1]
• eval_foo_bb1_in: [X₆]
• eval_foo_bb2_in: [X₆]
• eval_foo_bb3_in: [X₆-1]
• eval_foo_bb4_in: [X₆-1]

MPRF for transition t₁₄: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₁, X₅, X₆) :|: 1 ≤ X₂ ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_10: [2⋅X₆-1-X₀]
• eval_foo_11: [X₆]
• eval_foo_bb1_in: [X₆]
• eval_foo_bb2_in: [X₆]
• eval_foo_bb3_in: [X₆-1]
• eval_foo_bb4_in: [X₆-1]

MPRF for transition t₁₅: eval_foo_11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₁, X₀) :|: X₂ ≤ 0 ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_10: [1+X₀]
• eval_foo_11: [1+X₀]
• eval_foo_bb1_in: [X₆]
• eval_foo_bb2_in: [X₆]
• eval_foo_bb3_in: [X₀]
• eval_foo_bb4_in: [X₀]

MPRF for transition t₁₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄ ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

2⋅X₃ {O(n)}

• eval_foo_10: [X₅+2⋅X₆]
• eval_foo_11: [X₅+2⋅X₆]
• eval_foo_bb1_in: [X₅+2⋅X₆]
• eval_foo_bb2_in: [X₅+2⋅X₆]
• eval_foo_bb3_in: [1+2⋅X₀+X₄]
• eval_foo_bb4_in: [2⋅X₀+X₄]

MPRF for transition t₁₇: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, 0, X₀) :|: X₄ ≤ 0 ∧ X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₃+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₄ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄+X₅ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_10: [2⋅X₆-1-X₀]
• eval_foo_11: [X₅+2⋅X₆-X₀-X₁]
• eval_foo_bb1_in: [X₆]
• eval_foo_bb2_in: [X₆]
• eval_foo_bb3_in: [1+X₀]
• eval_foo_bb4_in: [X₀+X₁-X₅]

MPRF for transition t₁₈: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄-1, X₅, X₆) :|: X₆ ≤ 1+X₀ ∧ X₁ ≤ 1+X₅ ∧ X₄ ≤ 1+X₅ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₅ ∧ 1+X₅ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₅+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄+X₆ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₅ ∧ X₄ ≤ X₁ ∧ X₆ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_10: [X₅+X₆]
• eval_foo_11: [1+X₀+X₅]
• eval_foo_bb1_in: [X₅+X₆]
• eval_foo_bb2_in: [X₅+X₆]
• eval_foo_bb3_in: [X₀+X₄]
• eval_foo_bb4_in: [X₀+X₄]

All Bounds

Timebounds

Overall timebound:9⋅X₃+12 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: X₃ {O(n)}
t₁₁: 1 {O(1)}
t₁₂: X₃ {O(n)}
t₁₃: X₃ {O(n)}
t₁₄: X₃ {O(n)}
t₁₅: X₃ {O(n)}
t₁₆: 2⋅X₃ {O(n)}
t₁₇: X₃ {O(n)}
t₁₈: X₃ {O(n)}
t₁₉: 1 {O(1)}

Costbounds

Overall costbound: 9⋅X₃+12 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: 1 {O(1)}
t₉: 1 {O(1)}
t₁₀: X₃ {O(n)}
t₁₁: 1 {O(1)}
t₁₂: X₃ {O(n)}
t₁₃: X₃ {O(n)}
t₁₄: X₃ {O(n)}
t₁₅: X₃ {O(n)}
t₁₆: 2⋅X₃ {O(n)}
t₁₇: X₃ {O(n)}
t₁₈: X₃ {O(n)}
t₁₉: 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: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₇, X₀: X₀ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₉, X₀: X₀ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: 0 {O(1)}
t₉, X₆: X₃ {O(n)}
t₁₀, X₀: 2⋅X₃+X₀ {O(n)}
t₁₀, X₁: 2⋅X₃+X₁ {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: X₃ {O(n)}
t₁₀, X₆: X₃ {O(n)}
t₁₁, X₀: 2⋅X₃+X₀ {O(n)}
t₁₁, X₁: 2⋅X₃+X₁ {O(n)}
t₁₁, X₃: 3⋅X₃ {O(n)}
t₁₁, X₄: 2⋅X₄ {O(n)}
t₁₁, X₅: X₃ {O(n)}
t₁₁, X₆: 3⋅X₃ {O(n)}
t₁₂, X₀: X₃ {O(n)}
t₁₂, X₁: X₃ {O(n)}
t₁₂, X₃: X₃ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₂, X₅: X₃ {O(n)}
t₁₂, X₆: X₃ {O(n)}
t₁₃, X₀: X₃ {O(n)}
t₁₃, X₁: X₃ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₃, X₅: X₃ {O(n)}
t₁₃, X₆: X₃ {O(n)}
t₁₄, X₀: X₃ {O(n)}
t₁₄, X₁: X₃ {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₃ {O(n)}
t₁₄, X₅: X₃ {O(n)}
t₁₄, X₆: X₃ {O(n)}
t₁₅, X₀: X₃ {O(n)}
t₁₅, X₁: X₃ {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₅, X₅: X₃ {O(n)}
t₁₅, X₆: X₃ {O(n)}
t₁₆, X₀: X₃ {O(n)}
t₁₆, X₁: X₃ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₃ {O(n)}
t₁₆, X₅: X₃ {O(n)}
t₁₆, X₆: X₃ {O(n)}
t₁₇, X₀: X₃ {O(n)}
t₁₇, X₁: X₃ {O(n)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: 0 {O(1)}
t₁₇, X₅: 0 {O(1)}
t₁₇, X₆: X₃ {O(n)}
t₁₈, X₀: X₃ {O(n)}
t₁₈, X₁: X₃ {O(n)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: X₃ {O(n)}
t₁₈, X₅: X₃ {O(n)}
t₁₈, X₆: X₃ {O(n)}
t₁₉, X₀: 2⋅X₃+X₀ {O(n)}
t₁₉, X₁: 2⋅X₃+X₁ {O(n)}
t₁₉, X₃: 3⋅X₃ {O(n)}
t₁₉, X₄: 2⋅X₄ {O(n)}
t₁₉, X₅: X₃ {O(n)}
t₁₉, X₆: 3⋅X₃ {O(n)}