Initial Problem

Start: eval_realshellsort_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: eval_realshellsort_.critedge_in, eval_realshellsort_2, eval_realshellsort_3, eval_realshellsort_4, eval_realshellsort_5, eval_realshellsort_bb0_in, eval_realshellsort_bb1_in, eval_realshellsort_bb2_in, eval_realshellsort_bb3_in, eval_realshellsort_bb4_in, eval_realshellsort_bb5_in, eval_realshellsort_bb6_in, eval_realshellsort_bb7_in, eval_realshellsort_start, eval_realshellsort_stop
Transitions:
t₂₂: eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆)
t₁₂: eval_realshellsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_3(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆)
t₁₃: eval_realshellsort_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅)
t₁₈: eval_realshellsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_5(X₀, X₁, nondef.2, X₃, X₄, X₅, X₆)
t₂₀: eval_realshellsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₁
t₁₉: eval_realshellsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₂
t₁: eval_realshellsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆)
t₂: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(nondef.0, X₁, X₂, X₃, X₄, 0, X₆) :|: 1 ≤ nondef.0 ∧ 0 ≤ nondef.0 ∧ nondef.0 ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₃: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(nondef.0, X₁, X₂, X₃, X₄, 0, X₆) :|: X₄ ≤ 1+2⋅nondef.0 ∧ 1 ≤ nondef.0 ∧ 1 ≤ X₄ ∧ 0 ≤ nondef.0 ∧ 2⋅nondef.0 ≤ X₄
t₄: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(nondef.0, X₁, X₂, X₃, X₄, 0, X₆) :|: 2⋅nondef.0 ≤ 1+X₄ ∧ 1 ≤ nondef.0 ∧ 1+X₄ ≤ 0 ∧ X₄ ≤ 2⋅nondef.0 ∧ nondef.0 ≤ 0
t₅: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ nondef.0 ∧ nondef.0 ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0
t₆: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+2⋅nondef.0 ∧ 1 ≤ X₄ ∧ 0 ≤ nondef.0 ∧ nondef.0 ≤ 0 ∧ 2⋅nondef.0 ≤ X₄
t₇: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 2⋅nondef.0 ≤ 1+X₄ ∧ 1+X₄ ≤ 0 ∧ X₄ ≤ 2⋅nondef.0 ∧ nondef.0 ≤ 0
t₉: eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₀, X₅, X₆) :|: X₃ ≤ X₅
t₈: eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₃
t₁₀: eval_realshellsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₅: eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₆ ≤ X₀
t₁₄: eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₆
t₁₆: eval_realshellsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂₁: eval_realshellsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-X₀)
t₂₃: eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_realshellsort_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Cut unsatisfiable transition [t₂: eval_realshellsort_bb1_in→eval_realshellsort_bb2_in; t₄: eval_realshellsort_bb1_in→eval_realshellsort_bb2_in]

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_5

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_4

Found invariant X₄ ≤ 1 ∧ X₄ ≤ X₃ for location eval_realshellsort_bb7_in

Found invariant X₄ ≤ 1 ∧ X₄ ≤ X₃ for location eval_realshellsort_stop

Found invariant 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb2_in

Found invariant 1+X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_2

Found invariant 1+X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb3_in

Found invariant X₄ ≤ X₃ for location eval_realshellsort_bb1_in

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_bb6_in

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb5_in

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_.critedge_in

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 0 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb4_in

Found invariant 1+X₅ ≤ X₃ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_3

Problem after Preprocessing

Start: eval_realshellsort_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: eval_realshellsort_.critedge_in, eval_realshellsort_2, eval_realshellsort_3, eval_realshellsort_4, eval_realshellsort_5, eval_realshellsort_bb0_in, eval_realshellsort_bb1_in, eval_realshellsort_bb2_in, eval_realshellsort_bb3_in, eval_realshellsort_bb4_in, eval_realshellsort_bb5_in, eval_realshellsort_bb6_in, eval_realshellsort_bb7_in, eval_realshellsort_start, eval_realshellsort_stop
Transitions:
t₂₂: eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅
t₁₂: eval_realshellsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_3(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅
t₁₃: eval_realshellsort_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅
t₁₈: eval_realshellsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_5(X₀, X₁, nondef.2, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅
t₂₀: eval_realshellsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅
t₁₉: eval_realshellsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅
t₁: eval_realshellsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₃, X₅, X₆)
t₃: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(nondef.0, X₁, X₂, X₃, X₄, 0, X₆) :|: X₄ ≤ 1+2⋅nondef.0 ∧ 1 ≤ nondef.0 ∧ 1 ≤ X₄ ∧ 0 ≤ nondef.0 ∧ 2⋅nondef.0 ≤ X₄ ∧ X₄ ≤ X₃
t₅: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ nondef.0 ∧ nondef.0 ≤ 0 ∧ 0 ≤ X₄ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃
t₆: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1+2⋅nondef.0 ∧ 1 ≤ X₄ ∧ 0 ≤ nondef.0 ∧ nondef.0 ≤ 0 ∧ 2⋅nondef.0 ≤ X₄ ∧ X₄ ≤ X₃
t₇: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 2⋅nondef.0 ≤ 1+X₄ ∧ 1+X₄ ≤ 0 ∧ X₄ ≤ 2⋅nondef.0 ∧ nondef.0 ≤ 0 ∧ X₄ ≤ X₃
t₉: eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₀, X₅, X₆) :|: X₃ ≤ X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅
t₈: eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅
t₁₀: eval_realshellsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅
t₁₅: eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₆ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅
t₁₄: eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅
t₁₆: eval_realshellsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅
t₂₁: eval_realshellsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-X₀) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁ ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅
t₂₃: eval_realshellsort_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₄ ≤ 1 ∧ X₄ ≤ X₃
t₀: eval_realshellsort_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

MPRF for transition t₃: eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(nondef.0, X₁, X₂, X₃, X₄, 0, X₆) :|: X₄ ≤ 1+2⋅nondef.0 ∧ 1 ≤ nondef.0 ∧ 1 ≤ X₄ ∧ 0 ≤ nondef.0 ∧ 2⋅nondef.0 ≤ X₄ ∧ X₄ ≤ X₃ of depth 1:

new bound:

X₃+1 {O(n)}

• eval_realshellsort_.critedge_in: [X₄-2]
• eval_realshellsort_2: [X₄-2]
• eval_realshellsort_3: [X₄-2]
• eval_realshellsort_4: [X₄-2]
• eval_realshellsort_5: [X₄-2]
• eval_realshellsort_bb1_in: [X₄-1]
• eval_realshellsort_bb2_in: [X₄-2]
• eval_realshellsort_bb3_in: [X₄-2]
• eval_realshellsort_bb4_in: [X₄-2]
• eval_realshellsort_bb5_in: [X₄-2]
• eval_realshellsort_bb6_in: [X₄-2]

MPRF for transition t₉: eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb1_in(X₀, X₁, X₂, X₃, X₀, X₅, X₆) :|: X₃ ≤ X₅ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃+1 {O(n)}

• eval_realshellsort_.critedge_in: [X₀]
• eval_realshellsort_2: [X₀]
• eval_realshellsort_3: [X₀]
• eval_realshellsort_4: [X₀]
• eval_realshellsort_5: [X₀]
• eval_realshellsort_bb1_in: [X₄-1]
• eval_realshellsort_bb2_in: [X₀]
• eval_realshellsort_bb3_in: [X₀]
• eval_realshellsort_bb4_in: [X₀]
• eval_realshellsort_bb5_in: [X₀]
• eval_realshellsort_bb6_in: [X₀]

MPRF for transition t₈: eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃⋅X₃+2⋅X₃ {O(n^2)}

• eval_realshellsort_.critedge_in: [X₃-1-X₅]
• eval_realshellsort_2: [X₃-1-X₅]
• eval_realshellsort_3: [X₃-1-X₅]
• eval_realshellsort_4: [X₃-1-X₅]
• eval_realshellsort_5: [X₃-1-X₅]
• eval_realshellsort_bb1_in: [X₃]
• eval_realshellsort_bb2_in: [X₃-X₅]
• eval_realshellsort_bb3_in: [X₃-1-X₅]
• eval_realshellsort_bb4_in: [X₃-1-X₅]
• eval_realshellsort_bb5_in: [X₃-1-X₅]
• eval_realshellsort_bb6_in: [X₃-1-X₅]

MPRF for transition t₁₀: eval_realshellsort_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃⋅X₃+2⋅X₃ {O(n^2)}

• eval_realshellsort_.critedge_in: [X₃-1-X₅]
• eval_realshellsort_2: [X₃-1-X₅]
• eval_realshellsort_3: [X₃-1-X₅]
• eval_realshellsort_4: [X₃-1-X₅]
• eval_realshellsort_5: [X₃-1-X₅]
• eval_realshellsort_bb1_in: [X₃]
• eval_realshellsort_bb2_in: [X₃-X₅]
• eval_realshellsort_bb3_in: [X₃-X₅]
• eval_realshellsort_bb4_in: [X₃-1-X₅]
• eval_realshellsort_bb5_in: [X₃-1-X₅]
• eval_realshellsort_bb6_in: [X₃-1-X₅]

MPRF for transition t₁₂: eval_realshellsort_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_3(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃⋅X₃+3⋅X₃+2 {O(n^2)}

• eval_realshellsort_.critedge_in: [X₃-X₅]
• eval_realshellsort_2: [1+X₃-X₅]
• eval_realshellsort_3: [X₃-X₅]
• eval_realshellsort_4: [X₃-X₅]
• eval_realshellsort_5: [X₃-X₅]
• eval_realshellsort_bb1_in: [1+X₃]
• eval_realshellsort_bb2_in: [1+X₃-X₅]
• eval_realshellsort_bb3_in: [1+X₃-X₅]
• eval_realshellsort_bb4_in: [X₃-X₅]
• eval_realshellsort_bb5_in: [X₃-X₅]
• eval_realshellsort_bb6_in: [X₃-X₅]

MPRF for transition t₁₃: eval_realshellsort_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃⋅X₃+2⋅X₃ {O(n^2)}

• eval_realshellsort_.critedge_in: [X₃-1-X₅]
• eval_realshellsort_2: [X₃-X₅]
• eval_realshellsort_3: [X₃-X₅]
• eval_realshellsort_4: [X₃-1-X₅]
• eval_realshellsort_5: [X₃-1-X₅]
• eval_realshellsort_bb1_in: [X₃]
• eval_realshellsort_bb2_in: [X₃-X₅]
• eval_realshellsort_bb3_in: [X₃-X₅]
• eval_realshellsort_bb4_in: [X₃-1-X₅]
• eval_realshellsort_bb5_in: [X₃-1-X₅]
• eval_realshellsort_bb6_in: [X₃-1-X₅]

MPRF for transition t₁₅: eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₆ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃+2⋅X₃ {O(n^2)}

• eval_realshellsort_.critedge_in: [X₃-1-X₅]
• eval_realshellsort_2: [X₃-X₅]
• eval_realshellsort_3: [X₃-X₅]
• eval_realshellsort_4: [X₃-X₅]
• eval_realshellsort_5: [X₃-X₅]
• eval_realshellsort_bb1_in: [X₃]
• eval_realshellsort_bb2_in: [X₃-X₅]
• eval_realshellsort_bb3_in: [X₃-X₅]
• eval_realshellsort_bb4_in: [X₃-X₅]
• eval_realshellsort_bb5_in: [X₃-X₅]
• eval_realshellsort_bb6_in: [X₃-X₅]

MPRF for transition t₂₀: eval_realshellsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃+2⋅X₃ {O(n^2)}

• eval_realshellsort_.critedge_in: [X₃-1-X₅]
• eval_realshellsort_2: [X₃-X₅]
• eval_realshellsort_3: [X₃-X₅]
• eval_realshellsort_4: [X₃-X₅]
• eval_realshellsort_5: [X₃-X₅]
• eval_realshellsort_bb1_in: [X₃]
• eval_realshellsort_bb2_in: [X₃-X₅]
• eval_realshellsort_bb3_in: [X₃-X₅]
• eval_realshellsort_bb4_in: [X₃-X₅]
• eval_realshellsort_bb5_in: [X₃-X₅]
• eval_realshellsort_bb6_in: [X₃-X₅]

MPRF for transition t₂₂: eval_realshellsort_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃+2⋅X₃ {O(n^2)}

• eval_realshellsort_.critedge_in: [X₃-X₅]
• eval_realshellsort_2: [X₃-X₅]
• eval_realshellsort_3: [X₃-X₅]
• eval_realshellsort_4: [X₃-X₅]
• eval_realshellsort_5: [X₃-X₅]
• eval_realshellsort_bb1_in: [X₃]
• eval_realshellsort_bb2_in: [X₃-X₅]
• eval_realshellsort_bb3_in: [X₃-X₅]
• eval_realshellsort_bb4_in: [X₃-X₅]
• eval_realshellsort_bb5_in: [X₃-X₅]
• eval_realshellsort_bb6_in: [X₃-X₅]

MPRF for transition t₁₄: eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃⋅X₃⋅X₃+4⋅X₃⋅X₃⋅X₃+5⋅X₃⋅X₃+2⋅X₃+1 {O(n^4)}

• eval_realshellsort_.critedge_in: [X₆-2]
• eval_realshellsort_2: [1+X₅]
• eval_realshellsort_3: [1+X₅]
• eval_realshellsort_4: [X₆]
• eval_realshellsort_5: [X₆]
• eval_realshellsort_bb1_in: [1]
• eval_realshellsort_bb2_in: [1+X₅]
• eval_realshellsort_bb3_in: [1+X₅]
• eval_realshellsort_bb4_in: [1+X₆]
• eval_realshellsort_bb5_in: [X₆]
• eval_realshellsort_bb6_in: [X₆]

MPRF for transition t₁₆: eval_realshellsort_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃⋅X₃⋅X₃+5⋅X₃⋅X₃⋅X₃+6⋅X₃⋅X₃+X₃ {O(n^4)}

• eval_realshellsort_.critedge_in: [X₃+X₆-3]
• eval_realshellsort_2: [X₃+X₅]
• eval_realshellsort_3: [X₃+X₅]
• eval_realshellsort_4: [X₃+X₆-3]
• eval_realshellsort_5: [X₃+X₆-3]
• eval_realshellsort_bb1_in: [X₃]
• eval_realshellsort_bb2_in: [X₃+X₅]
• eval_realshellsort_bb3_in: [X₃+X₅]
• eval_realshellsort_bb4_in: [X₃+X₆-2]
• eval_realshellsort_bb5_in: [X₃+X₆-2]
• eval_realshellsort_bb6_in: [X₃+X₆-2-X₀]

MPRF for transition t₁₈: eval_realshellsort_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_5(X₀, X₁, nondef.2, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃⋅X₃⋅X₃+4⋅X₃⋅X₃⋅X₃+4⋅X₃⋅X₃ {O(n^4)}

• eval_realshellsort_.critedge_in: [X₆-1]
• eval_realshellsort_2: [X₅]
• eval_realshellsort_3: [X₅]
• eval_realshellsort_4: [X₆]
• eval_realshellsort_5: [X₆-1]
• eval_realshellsort_bb1_in: [0]
• eval_realshellsort_bb2_in: [X₅]
• eval_realshellsort_bb3_in: [X₅]
• eval_realshellsort_bb4_in: [X₆]
• eval_realshellsort_bb5_in: [X₆]
• eval_realshellsort_bb6_in: [X₆-X₀]

MPRF for transition t₁₉: eval_realshellsort_5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃⋅X₃⋅X₃+4⋅X₃⋅X₃⋅X₃+4⋅X₃⋅X₃ {O(n^4)}

• eval_realshellsort_.critedge_in: [X₆]
• eval_realshellsort_2: [X₅]
• eval_realshellsort_3: [X₅]
• eval_realshellsort_4: [X₆]
• eval_realshellsort_5: [X₆]
• eval_realshellsort_bb1_in: [0]
• eval_realshellsort_bb2_in: [X₅]
• eval_realshellsort_bb3_in: [X₅]
• eval_realshellsort_bb4_in: [X₆]
• eval_realshellsort_bb5_in: [X₆]
• eval_realshellsort_bb6_in: [X₆-1]

MPRF for transition t₂₁: eval_realshellsort_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆-X₀) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₁ ≤ X₂ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₃⋅X₃⋅X₃⋅X₃+4⋅X₃⋅X₃⋅X₃+4⋅X₃⋅X₃ {O(n^4)}

• eval_realshellsort_.critedge_in: [X₆]
• eval_realshellsort_2: [X₅]
• eval_realshellsort_3: [X₅]
• eval_realshellsort_4: [X₆]
• eval_realshellsort_5: [X₆]
• eval_realshellsort_bb1_in: [0]
• eval_realshellsort_bb2_in: [X₅]
• eval_realshellsort_bb3_in: [X₅]
• eval_realshellsort_bb4_in: [X₆]
• eval_realshellsort_bb5_in: [X₆]
• eval_realshellsort_bb6_in: [1+X₆-X₀]

Cut unsatisfiable transition [t₉: eval_realshellsort_bb2_in→eval_realshellsort_bb1_in; t₁₁₉: eval_realshellsort_bb2_in→eval_realshellsort_bb1_in]

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 1 ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb2_in_v1

Found invariant X₄ ≤ 1 ∧ X₄ ≤ X₃ for location eval_realshellsort_bb7_in

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_4_v2

Found invariant X₄ ≤ 1 ∧ X₄ ≤ X₃ for location eval_realshellsort_stop

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_.critedge_in_v4

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 1 ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_3_v2

Found invariant 2+X₆ ≤ X₅ ∧ 3+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 5 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 3 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 7 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ 2+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 3+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_bb3_in_v6

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 4 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 3 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 2 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 3 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₀ for location eval_realshellsort_2_v3

Found invariant 2+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 3+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_bb3_in_v5

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_3_v4

Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_.critedge_in_v1

Found invariant 2+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 3+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_2_v5

Found invariant 2+X₆ ≤ X₅ ∧ 3+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 5 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 3 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 7 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ 2+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 3+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_2_v6

Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_3_v1

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_2_v4

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 4 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 3 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 2 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 3 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₀ for location eval_realshellsort_3_v3

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_5_v1

Found invariant 1+X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_bb2_in_v3

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₄ ∧ 1+X₆ ≤ X₃ ∧ X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb4_in_v2

Found invariant 2+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 3+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_3_v5

Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅+X₆ ≤ 0 ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 0 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb4_in_v1

Found invariant X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 3 ≤ X₀+X₆ ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 3 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₀ for location eval_realshellsort_.critedge_in_v2

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_bb3_in_v4

Found invariant 2+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ X₃ ∧ 3 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ 2+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_bb2_in_v5

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 1 ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_2_v2

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_bb6_in_v2

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 4 ≤ X₄+X₆ ∧ 5 ≤ X₃+X₆ ∧ 3 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb4_in_v3

Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_2_v1

Found invariant 2+X₆ ≤ X₅ ∧ 3+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 4 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 5 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 3 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 7 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ 2+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 4 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 3+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_3_v6

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_4_v1

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_.critedge_in_v3

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location eval_realshellsort_.critedge_in_v5

Found invariant X₄ ≤ X₃ for location eval_realshellsort_bb1_in

Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb3_in_v1

Found invariant 2+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_bb2_in_v4

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 4 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 3 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 2 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 3 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₀ for location eval_realshellsort_bb3_in_v3

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_bb5_in_v2

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 4 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 3 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 2 ≤ X₅ ∧ 5 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 4 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 3 ≤ X₄ ∧ 6 ≤ X₃+X₄ ∧ 5 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 5 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 2 ≤ X₀ for location eval_realshellsort_bb2_in_v2

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_bb6_in_v1

Found invariant X₆ ≤ X₅ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₅ ≤ X₆ ∧ 3 ≤ X₄+X₆ ∧ 3 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb5_in_v1

Found invariant X₆ ≤ 0 ∧ 1+X₆ ≤ X₅ ∧ X₅+X₆ ≤ 1 ∧ 2+X₆ ≤ X₄ ∧ 2+X₆ ≤ X₃ ∧ 1+X₆ ≤ X₀ ∧ 0 ≤ X₆ ∧ 1 ≤ X₅+X₆ ∧ X₅ ≤ 1+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ X₅ ≤ 1 ∧ 1+X₅ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ X₅ ≤ X₀ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb3_in_v2

Found invariant X₅ ≤ 0 ∧ 2+X₅ ≤ X₄ ∧ 2+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₀ ∧ 0 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₃+X₅ ∧ 1 ≤ X₀+X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_bb2_in

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₃+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₃+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀ for location eval_realshellsort_bb4_in_v4

Found invariant 1+X₆ ≤ X₅ ∧ 2+X₆ ≤ X₃ ∧ 1 ≤ X₆ ∧ 3 ≤ X₅+X₆ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₅ ∧ 4 ≤ X₄+X₅ ∧ 5 ≤ X₃+X₅ ∧ 3 ≤ X₀+X₅ ∧ 1+X₀ ≤ X₅ ∧ X₄ ≤ X₃ ∧ 2 ≤ X₄ ∧ 5 ≤ X₃+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₀ ≤ X₄ ∧ 3 ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₀ for location eval_realshellsort_5_v2

Cut unsatisfiable transition [t₁₂₃: eval_realshellsort_bb4_in_v1→eval_realshellsort_bb5_in_v1]

Analysing control-flow refined program

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₁₈: eval_realshellsort_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₀: eval_realshellsort_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_2_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₁: eval_realshellsort_2_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_3_v1(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₂: eval_realshellsort_3_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ X₅ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₄: eval_realshellsort_bb4_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₆ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1+X₅ ≤ X₀+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ X₅+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₆ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₅: eval_realshellsort_.critedge_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 4 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ 0 ∧ X₅ ≤ X₆ ∧ X₅+X₆ ≤ 0 ∧ 0 ≤ X₆ ∧ X₆ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₆: eval_realshellsort_bb2_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₃ ∧ X₅ ≤ 1 ∧ X₅ ≤ 1+X₆ ∧ X₅+X₆ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₆ ∧ X₆ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₇: eval_realshellsort_bb3_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_2_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ X₅ ≤ 1+X₆ ∧ X₅+X₆ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₆ ∧ X₆ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₈: eval_realshellsort_2_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_3_v2(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1 ∧ X₅ ≤ 1+X₆ ∧ X₅+X₆ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₆ ∧ X₆ ≤ 0

knowledge_propagation leads to new time bound X₃+1 {O(n)} for transition t₁₂₉: eval_realshellsort_3_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: X₅ ≤ 1 ∧ X₅ ≤ 1+X₆ ∧ X₅+X₆ ≤ 1 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₅+X₆ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₆ ∧ X₆ ≤ 0

MPRF for transition t₁₃₀: eval_realshellsort_bb4_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1+X₆ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:

new bound:

X₃+1 {O(n)}

• eval_realshellsort_.critedge_in_v1: [X₄-1]
• eval_realshellsort_.critedge_in_v2: [X₀]
• eval_realshellsort_.critedge_in_v3: [X₀-1]
• eval_realshellsort_.critedge_in_v4: [X₀-1]
• eval_realshellsort_.critedge_in_v5: [X₀-1]
• eval_realshellsort_2_v1: [X₄-1]
• eval_realshellsort_2_v2: [X₄-1]
• eval_realshellsort_2_v3: [X₀]
• eval_realshellsort_2_v4: [X₀-1]
• eval_realshellsort_2_v5: [X₀-1]
• eval_realshellsort_2_v6: [X₀-1]
• eval_realshellsort_3_v1: [X₄-1]
• eval_realshellsort_3_v2: [X₀]
• eval_realshellsort_3_v3: [X₀]
• eval_realshellsort_3_v4: [X₀-1]
• eval_realshellsort_3_v5: [X₀-1]
• eval_realshellsort_3_v6: [X₀-1]
• eval_realshellsort_4_v1: [X₀-1]
• eval_realshellsort_4_v2: [X₀-1]
• eval_realshellsort_5_v1: [X₀-1]
• eval_realshellsort_5_v2: [X₀-1]
• eval_realshellsort_bb1_in: [X₄-1]
• eval_realshellsort_bb2_in: [X₄-1]
• eval_realshellsort_bb2_in_v1: [X₄-1]
• eval_realshellsort_bb2_in_v2: [X₀]
• eval_realshellsort_bb2_in_v3: [X₀-1]
• eval_realshellsort_bb2_in_v4: [X₀-1]
• eval_realshellsort_bb2_in_v5: [X₀-1]
• eval_realshellsort_bb3_in_v1: [X₄-1]
• eval_realshellsort_bb3_in_v2: [X₄-X₅]
• eval_realshellsort_bb3_in_v3: [X₀]
• eval_realshellsort_bb3_in_v4: [X₀-1]
• eval_realshellsort_bb3_in_v5: [X₀-1]
• eval_realshellsort_bb3_in_v6: [X₀-1]
• eval_realshellsort_bb4_in_v1: [X₄-1]
• eval_realshellsort_bb4_in_v2: [X₀]
• eval_realshellsort_bb4_in_v3: [X₀-1]
• eval_realshellsort_bb4_in_v4: [X₀-1]
• eval_realshellsort_bb5_in_v1: [X₀-1]
• eval_realshellsort_bb5_in_v2: [X₀-1]
• eval_realshellsort_bb6_in_v1: [X₀-1]
• eval_realshellsort_bb6_in_v2: [X₀-1]

MPRF for transition t₁₃₁: eval_realshellsort_bb4_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_.critedge_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₆ ≤ X₀ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀+X₆ ∧ 1 ≤ X₀+X₆ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1+X₆ ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₃+X₆ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₆ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ X₆ of depth 1:

new bound:

2⋅X₃ {O(n)}

• eval_realshellsort_.critedge_in_v1: [2⋅X₀+X₃]
• eval_realshellsort_.critedge_in_v2: [2⋅X₀+X₃-1-X₆]
• eval_realshellsort_.critedge_in_v3: [X₀+X₃]
• eval_realshellsort_.critedge_in_v4: [X₀+X₃]
• eval_realshellsort_.critedge_in_v5: [X₀+X₃]
• eval_realshellsort_2_v1: [2⋅X₀+X₃]
• eval_realshellsort_2_v2: [2⋅X₀+X₃]
• eval_realshellsort_2_v3: [2⋅X₀+X₃-X₅]
• eval_realshellsort_2_v4: [X₀+X₃]
• eval_realshellsort_2_v5: [X₀+X₃]
• eval_realshellsort_2_v6: [X₀+X₃]
• eval_realshellsort_3_v1: [2⋅X₀+X₃]
• eval_realshellsort_3_v2: [2⋅X₀+X₃]
• eval_realshellsort_3_v3: [2⋅X₀+X₃-X₅]
• eval_realshellsort_3_v4: [X₀+X₃]
• eval_realshellsort_3_v5: [X₀+X₃]
• eval_realshellsort_3_v6: [X₀+X₃]
• eval_realshellsort_4_v1: [X₀+X₃]
• eval_realshellsort_4_v2: [X₀+X₃]
• eval_realshellsort_5_v1: [X₀+X₃]
• eval_realshellsort_5_v2: [X₀+X₃]
• eval_realshellsort_bb1_in: [X₃+X₄]
• eval_realshellsort_bb2_in: [2⋅X₀+X₃]
• eval_realshellsort_bb2_in_v1: [2⋅X₀+X₃]
• eval_realshellsort_bb2_in_v2: [2⋅X₀+X₃-X₅]
• eval_realshellsort_bb2_in_v3: [X₀+X₃]
• eval_realshellsort_bb2_in_v4: [X₀+X₃]
• eval_realshellsort_bb2_in_v5: [X₀+X₃]
• eval_realshellsort_bb3_in_v1: [2⋅X₀+X₃]
• eval_realshellsort_bb3_in_v2: [2⋅X₀+X₃]
• eval_realshellsort_bb3_in_v3: [2⋅X₀+X₃-X₅]
• eval_realshellsort_bb3_in_v4: [X₀+X₃]
• eval_realshellsort_bb3_in_v5: [X₀+X₃]
• eval_realshellsort_bb3_in_v6: [X₀+X₃]
• eval_realshellsort_bb4_in_v1: [2⋅X₀+X₃]
• eval_realshellsort_bb4_in_v2: [2⋅X₀+X₃-X₅]
• eval_realshellsort_bb4_in_v3: [X₀+X₃]
• eval_realshellsort_bb4_in_v4: [X₀+X₃]
• eval_realshellsort_bb5_in_v1: [X₀+X₃]
• eval_realshellsort_bb5_in_v2: [X₀+X₃]
• eval_realshellsort_bb6_in_v1: [X₀+X₃]
• eval_realshellsort_bb6_in_v2: [X₀+X₃]

MPRF for transition t₁₃₂: eval_realshellsort_.critedge_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, 1+X₅, X₆) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₅ ≤ X₀ ∧ 1 ≤ X₀+X₆ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₅ ≤ X₃ ∧ 2 ≤ X₃+X₆ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₅ ≤ X₄ ∧ 2 ≤ X₄+X₆ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₅ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₃ ∧ 3 ≤ X₄ ∧ 4 ≤ X₃+X₄ ∧ 4 ≤ X₃+X₅ ∧ 4 ≤ X₃+X₆ ∧ 4 ≤ X₄+X₅ ∧ 4 ≤ X₄+X₆ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 6 ≤ X₃+X₄ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅+X₆ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ of depth 1:

new bound:

2⋅X₃+5 {O(n)}

• eval_realshellsort_.critedge_in_v1: [4⋅X₀-5]
• eval_realshellsort_.critedge_in_v2: [4⋅X₀-3-2⋅X₆]
• eval_realshellsort_.critedge_in_v3: [2⋅X₀-3]
• eval_realshellsort_.critedge_in_v4: [2⋅X₀-3]
• eval_realshellsort_.critedge_in_v5: [2⋅X₀-3]
• eval_realshellsort_2_v1: [4⋅X₀-5]
• eval_realshellsort_2_v2: [4⋅X₀-5]
• eval_realshellsort_2_v3: [4⋅X₀+2⋅X₆-4⋅X₅]
• eval_realshellsort_2_v4: [2⋅X₀-3]
• eval_realshellsort_2_v5: [2⋅X₀-3]
• eval_realshellsort_2_v6: [2⋅X₀-3]
• eval_realshellsort_3_v1: [4⋅X₀-5]
• eval_realshellsort_3_v2: [4⋅X₀-5]
• eval_realshellsort_3_v3: [4⋅X₀+2⋅X₆-4⋅X₅]
• eval_realshellsort_3_v4: [2⋅X₀-3]
• eval_realshellsort_3_v5: [2⋅X₀-3]
• eval_realshellsort_3_v6: [2⋅X₀-3]
• eval_realshellsort_4_v1: [2⋅X₀-3]
• eval_realshellsort_4_v2: [2⋅X₀-3]
• eval_realshellsort_5_v1: [2⋅X₀-3]
• eval_realshellsort_5_v2: [2⋅X₀-3]
• eval_realshellsort_bb1_in: [2⋅X₄-5]
• eval_realshellsort_bb2_in: [4⋅X₀-5]
• eval_realshellsort_bb2_in_v1: [4⋅X₀-5]
• eval_realshellsort_bb2_in_v2: [4⋅X₀-4-2⋅X₆]
• eval_realshellsort_bb2_in_v3: [2⋅X₀-3]
• eval_realshellsort_bb2_in_v4: [2⋅X₀-3]
• eval_realshellsort_bb2_in_v5: [2⋅X₀-3]
• eval_realshellsort_bb3_in_v1: [4⋅X₀-5]
• eval_realshellsort_bb3_in_v2: [4⋅X₀-5]
• eval_realshellsort_bb3_in_v3: [4⋅X₀+2⋅X₆-4⋅X₅]
• eval_realshellsort_bb3_in_v4: [2⋅X₀-3]
• eval_realshellsort_bb3_in_v5: [2⋅X₀-3]
• eval_realshellsort_bb3_in_v6: [2⋅X₀-3]
• eval_realshellsort_bb4_in_v1: [4⋅X₀-5]
• eval_realshellsort_bb4_in_v2: [4⋅X₀-3-2⋅X₅]
• eval_realshellsort_bb4_in_v3: [2⋅X₀-3]
• eval_realshellsort_bb4_in_v4: [2⋅X₀-3]
• eval_realshellsort_bb5_in_v1: [2⋅X₀-3]
• eval_realshellsort_bb5_in_v2: [2⋅X₀-3]
• eval_realshellsort_bb6_in_v1: [2⋅X₀-3]
• eval_realshellsort_bb6_in_v2: [2⋅X₀-3]

MPRF for transition t₁₃₃: eval_realshellsort_bb2_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb3_in_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₅ ≤ X₃ ∧ X₅ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₄ ∧ 1+X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₃ ∧ 3 ≤ X₄ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₃+X₄ ∧ 4 ≤ X₃+X₆ ∧ 4 ≤ X₄+X₆ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5 ≤ X₃+X₅ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃ {O(n)}

• eval_realshellsort_.critedge_in_v1: [2⋅X₀]
• eval_realshellsort_.critedge_in_v2: [1+2⋅X₀-X₆]
• eval_realshellsort_.critedge_in_v3: [X₀]
• eval_realshellsort_.critedge_in_v4: [X₀]
• eval_realshellsort_.critedge_in_v5: [X₀]
• eval_realshellsort_2_v1: [2⋅X₀]
• eval_realshellsort_2_v2: [2⋅X₀]
• eval_realshellsort_2_v3: [1+2⋅X₀-X₅]
• eval_realshellsort_2_v4: [X₀]
• eval_realshellsort_2_v5: [X₀]
• eval_realshellsort_2_v6: [X₀]
• eval_realshellsort_3_v1: [2⋅X₀]
• eval_realshellsort_3_v2: [2⋅X₀]
• eval_realshellsort_3_v3: [1+2⋅X₀-X₅]
• eval_realshellsort_3_v4: [X₀]
• eval_realshellsort_3_v5: [X₀]
• eval_realshellsort_3_v6: [X₀]
• eval_realshellsort_4_v1: [X₀]
• eval_realshellsort_4_v2: [X₀]
• eval_realshellsort_5_v1: [X₀]
• eval_realshellsort_5_v2: [X₀]
• eval_realshellsort_bb1_in: [X₄]
• eval_realshellsort_bb2_in: [2⋅X₀]
• eval_realshellsort_bb2_in_v1: [2⋅X₀]
• eval_realshellsort_bb2_in_v2: [2+2⋅X₀-X₅]
• eval_realshellsort_bb2_in_v3: [X₀]
• eval_realshellsort_bb2_in_v4: [X₀]
• eval_realshellsort_bb2_in_v5: [X₀]
• eval_realshellsort_bb3_in_v1: [2⋅X₀]
• eval_realshellsort_bb3_in_v2: [2⋅X₀]
• eval_realshellsort_bb3_in_v3: [1+2⋅X₀-X₅]
• eval_realshellsort_bb3_in_v4: [X₀]
• eval_realshellsort_bb3_in_v5: [X₀]
• eval_realshellsort_bb3_in_v6: [X₀]
• eval_realshellsort_bb4_in_v1: [2⋅X₀]
• eval_realshellsort_bb4_in_v2: [1+2⋅X₀-X₅]
• eval_realshellsort_bb4_in_v3: [X₀]
• eval_realshellsort_bb4_in_v4: [X₀]
• eval_realshellsort_bb5_in_v1: [X₀]
• eval_realshellsort_bb5_in_v2: [X₀]
• eval_realshellsort_bb6_in_v1: [X₀]
• eval_realshellsort_bb6_in_v2: [X₀]

MPRF for transition t₁₃₄: eval_realshellsort_bb3_in_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_2_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1+X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₃ ∧ 3 ≤ X₄ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₃+X₄ ∧ 4 ≤ X₃+X₆ ∧ 4 ≤ X₄+X₆ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5 ≤ X₃+X₅ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃+1 {O(n)}

• eval_realshellsort_.critedge_in_v1: [2⋅X₀-1]
• eval_realshellsort_.critedge_in_v2: [2⋅X₀-1-X₆]
• eval_realshellsort_.critedge_in_v3: [X₀+X₅-1-X₆]
• eval_realshellsort_.critedge_in_v4: [X₀-1]
• eval_realshellsort_.critedge_in_v5: [X₀-1]
• eval_realshellsort_2_v1: [2⋅X₀-1]
• eval_realshellsort_2_v2: [2⋅X₀-1]
• eval_realshellsort_2_v3: [2⋅X₀-1-X₅]
• eval_realshellsort_2_v4: [X₀-1]
• eval_realshellsort_2_v5: [X₀-1]
• eval_realshellsort_2_v6: [X₀-1]
• eval_realshellsort_3_v1: [2⋅X₀-1]
• eval_realshellsort_3_v2: [2⋅X₀-1]
• eval_realshellsort_3_v3: [2⋅X₀-1-X₅]
• eval_realshellsort_3_v4: [X₀-1]
• eval_realshellsort_3_v5: [X₀-1]
• eval_realshellsort_3_v6: [X₀-1]
• eval_realshellsort_4_v1: [X₀+X₅-1-X₆]
• eval_realshellsort_4_v2: [X₀-1]
• eval_realshellsort_5_v1: [X₀+X₅-1-X₆]
• eval_realshellsort_5_v2: [X₀-1]
• eval_realshellsort_bb1_in: [X₄-1]
• eval_realshellsort_bb2_in: [2⋅X₀-1]
• eval_realshellsort_bb2_in_v1: [2⋅X₀-1]
• eval_realshellsort_bb2_in_v2: [2⋅X₀-X₅]
• eval_realshellsort_bb2_in_v3: [X₀-1]
• eval_realshellsort_bb2_in_v4: [X₀-1]
• eval_realshellsort_bb2_in_v5: [X₀-1]
• eval_realshellsort_bb3_in_v1: [2⋅X₀-1]
• eval_realshellsort_bb3_in_v2: [2⋅X₀-1]
• eval_realshellsort_bb3_in_v3: [2⋅X₀-X₅]
• eval_realshellsort_bb3_in_v4: [X₀-1]
• eval_realshellsort_bb3_in_v5: [X₀-1]
• eval_realshellsort_bb3_in_v6: [X₀-1]
• eval_realshellsort_bb4_in_v1: [2⋅X₀-1]
• eval_realshellsort_bb4_in_v2: [2⋅X₀-1-X₆]
• eval_realshellsort_bb4_in_v3: [X₀-1]
• eval_realshellsort_bb4_in_v4: [X₀-1]
• eval_realshellsort_bb5_in_v1: [X₀+X₅-1-X₆]
• eval_realshellsort_bb5_in_v2: [X₀-1]
• eval_realshellsort_bb6_in_v1: [X₀+X₅-1-X₆]
• eval_realshellsort_bb6_in_v2: [X₀-1]

MPRF for transition t₁₃₅: eval_realshellsort_2_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_3_v3(X₀, nondef.1, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1+X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₃ ∧ 3 ≤ X₄ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₃+X₄ ∧ 4 ≤ X₃+X₆ ∧ 4 ≤ X₄+X₆ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5 ≤ X₃+X₅ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

2⋅X₃ {O(n)}

• eval_realshellsort_.critedge_in_v1: [2⋅X₀+X₄]
• eval_realshellsort_.critedge_in_v2: [3⋅X₀-X₆]
• eval_realshellsort_.critedge_in_v3: [2⋅X₀]
• eval_realshellsort_.critedge_in_v4: [2⋅X₀]
• eval_realshellsort_.critedge_in_v5: [2⋅X₀]
• eval_realshellsort_2_v1: [2⋅X₀+X₄]
• eval_realshellsort_2_v2: [3⋅X₀]
• eval_realshellsort_2_v3: [1+3⋅X₀-X₅]
• eval_realshellsort_2_v4: [2⋅X₀]
• eval_realshellsort_2_v5: [2⋅X₀]
• eval_realshellsort_2_v6: [2⋅X₀]
• eval_realshellsort_3_v1: [2⋅X₀+X₄]
• eval_realshellsort_3_v2: [3⋅X₀]
• eval_realshellsort_3_v3: [3⋅X₀-X₅]
• eval_realshellsort_3_v4: [2⋅X₀]
• eval_realshellsort_3_v5: [2⋅X₀]
• eval_realshellsort_3_v6: [2⋅X₀]
• eval_realshellsort_4_v1: [2⋅X₀]
• eval_realshellsort_4_v2: [2⋅X₀]
• eval_realshellsort_5_v1: [2⋅X₀]
• eval_realshellsort_5_v2: [2⋅X₀]
• eval_realshellsort_bb1_in: [2⋅X₄]
• eval_realshellsort_bb2_in: [2⋅X₀+X₄]
• eval_realshellsort_bb2_in_v1: [2⋅X₀+X₄]
• eval_realshellsort_bb2_in_v2: [1+3⋅X₀-X₅]
• eval_realshellsort_bb2_in_v3: [2⋅X₀]
• eval_realshellsort_bb2_in_v4: [2⋅X₀]
• eval_realshellsort_bb2_in_v5: [2⋅X₀]
• eval_realshellsort_bb3_in_v1: [2⋅X₀+X₄]
• eval_realshellsort_bb3_in_v2: [2⋅X₀+X₄]
• eval_realshellsort_bb3_in_v3: [1+3⋅X₀-X₅]
• eval_realshellsort_bb3_in_v4: [2⋅X₀]
• eval_realshellsort_bb3_in_v5: [2⋅X₀]
• eval_realshellsort_bb3_in_v6: [2⋅X₀]
• eval_realshellsort_bb4_in_v1: [2⋅X₀+X₄]
• eval_realshellsort_bb4_in_v2: [3⋅X₀-X₆]
• eval_realshellsort_bb4_in_v3: [2⋅X₀]
• eval_realshellsort_bb4_in_v4: [2⋅X₀]
• eval_realshellsort_bb5_in_v1: [2⋅X₀]
• eval_realshellsort_bb5_in_v2: [2⋅X₀]
• eval_realshellsort_bb6_in_v1: [2⋅X₀]
• eval_realshellsort_bb6_in_v2: [2⋅X₀]

MPRF for transition t₁₃₆: eval_realshellsort_3_v3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_bb4_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₅) :|: X₅ ≤ 1+X₆ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₅ ∧ 1+X₆ ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₅ ≤ X₄ ∧ 1+X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₅ ∧ 2+X₆ ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₄+X₅ ∧ 2+X₆ ≤ X₄ ∧ 2 ≤ X₅ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₀+X₆ ∧ 3 ≤ X₃ ∧ 3 ≤ X₄ ∧ 3 ≤ X₅+X₆ ∧ 4 ≤ X₀+X₅ ∧ 4 ≤ X₃+X₄ ∧ 4 ≤ X₃+X₆ ∧ 4 ≤ X₄+X₆ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 5 ≤ X₃+X₅ ∧ 5 ≤ X₄+X₅ ∧ 6 ≤ X₃+X₄ ∧ X₅ ≤ X₀ ∧ X₄ ≤ X₃ ∧ 0 ≤ X₅ of depth 1:

new bound:

X₃+2 {O(n)}

• eval_realshellsort_.critedge_in_v1: [2⋅X₀-2]
• eval_realshellsort_.critedge_in_v2: [2⋅X₀-1-X₅]
• eval_realshellsort_.critedge_in_v3: [X₀-1]
• eval_realshellsort_.critedge_in_v4: [X₀-1]
• eval_realshellsort_.critedge_in_v5: [X₀-1]
• eval_realshellsort_2_v1: [2⋅X₀-2]
• eval_realshellsort_2_v2: [2⋅X₀-2]
• eval_realshellsort_2_v3: [2⋅X₀-X₅]
• eval_realshellsort_2_v4: [1+X₀+2⋅X₆-2⋅X₅]
• eval_realshellsort_2_v5: [X₀-1]
• eval_realshellsort_2_v6: [X₀-1]
• eval_realshellsort_3_v1: [2⋅X₀-2]
• eval_realshellsort_3_v2: [2⋅X₀-2]
• eval_realshellsort_3_v3: [2⋅X₀-X₅]
• eval_realshellsort_3_v4: [1+X₀+2⋅X₆-2⋅X₅]
• eval_realshellsort_3_v5: [X₀-1]
• eval_realshellsort_3_v6: [X₀-1]
• eval_realshellsort_4_v1: [X₀-1]
• eval_realshellsort_4_v2: [X₀-1]
• eval_realshellsort_5_v1: [X₀-1]
• eval_realshellsort_5_v2: [X₀-1]
• eval_realshellsort_bb1_in: [X₄-2]
• eval_realshellsort_bb2_in: [2⋅X₀-2]
• eval_realshellsort_bb2_in_v1: [2⋅X₀-2]
• eval_realshellsort_bb2_in_v2: [2⋅X₀-X₅]
• eval_realshellsort_bb2_in_v3: [1+X₀+2⋅X₆-2⋅X₅]
• eval_realshellsort_bb2_in_v4: [X₀-1]
• eval_realshellsort_bb2_in_v5: [X₀-1]
• eval_realshellsort_bb3_in_v1: [2⋅X₀-2]
• eval_realshellsort_bb3_in_v2: [2⋅X₀-2]
• eval_realshellsort_bb3_in_v3: [2⋅X₀-X₅]
• eval_realshellsort_bb3_in_v4: [1+X₀+2⋅X₆-2⋅X₅]
• eval_realshellsort_bb3_in_v5: [X₀-1]
• eval_realshellsort_bb3_in_v6: [X₀-1]
• eval_realshellsort_bb4_in_v1: [2⋅X₀-2]
• eval_realshellsort_bb4_in_v2: [2⋅X₀-1-X₅]
• eval_realshellsort_bb4_in_v3: [X₀-1]
• eval_realshellsort_bb4_in_v4: [X₀-1]
• eval_realshellsort_bb5_in_v1: [X₀-1]
• eval_realshellsort_bb5_in_v2: [X₀-1]
• eval_realshellsort_bb6_in_v1: [X₀-1]
• eval_realshellsort_bb6_in_v2: [X₀-1]

MPRF for transition t₁₃₇: eval_realshellsort_bb5_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_realshellsort_4_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ X₃ ∧ 1+X₀ ≤ X₄ ∧ 1+X₅ ≤ X₃ ∧ 1+X₆ ≤ X₃ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄ ∧ 2 ≤ X₅+X₆ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₀+X₄ ∧ 3 ≤ X₃+X₅ ∧ 3 ≤ X₃+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₄+X₆ ∧ 4 ≤ X₃+X₄ ∧ X₀ ≤ X₅ ∧ X₀ ≤ X₆ ∧ X₄ ≤ X₃ ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆ of depth 1:

new bound:

X₃⋅X₃+2⋅X₃+1 {O(n^2)}

• eval_realshellsort_.critedge_in_v1: [0]
• eval_realshellsort_.critedge_in_v2: [X₃-1]
• eval_realshellsort_.critedge_in_v3: [X₃-1-X₅]
• eval_realshellsort_.critedge_in_v4: [X₃-1-X₅]
• eval_realshellsort_.critedge_in_v5: [X₃-1-X₅]
• eval_realshellsort_2_v1: [0]
• eval_realshellsort_2_v2: [0]
• eval_realshellsort_2_v3: [X₃-1]
• eval_realshellsort_2_v4: [X₃-X₅]
• eval_realshellsort_2_v5: [X₃-X₅]
• eval_realshellsort_2_v6: [X₃-X₅]
• eval_realshellsort_3_v1: [0]
• eval_realshellsort_3_v2: [0]
• eval_realshellsort_3_v3: [X₃-1]
• eval_realshellsort_3_v4: [X₃-X₅]
• eval_realshellsort_3_v5: [X₃-X₅]
• eval_realshellsort_3_v6: [X₃-X₅]
• eval_realshellsort_4_v1: [X₃-1-X₆]
• eval_realshellsort_4_v2: [X₃-1-X₅]
• eval_realshellsort_5_v1: [X₃-1-X₆]
• eval_realshellsort_5_v2: [X₃-1-X₅]
• eval_realshellsort_bb1_in: [0]
• eval_realshellsort_bb2_in: [0]
• eval_realshellsort_bb2_in_v1: [0]
• eval_realshellsort_bb2_in_v2: [X₃-1]
• eval_realshellsort_bb2_in_v3: [X₃-X₅]
• eval_realshellsort_bb2_in_v4: [X₃-X₅]
• eval_realshellsort_bb2_in_v5: [X₃-X₅]
• eval_realshellsort_bb3_in_v1: [0]
• eval_realshellsort_bb3_in_v2: [0]
• eval_realshellsort_bb3_in_v3: [X₃-1]
• eval_realshellsort_bb3_in_v4: [X₃-X₅]
• eval_realshellsort_bb3_in_v5: [X₃-X₅]
• eval_realshellsort_bb3_in_v6: [X₃-X₅]
• eval_realshellsort_bb4_in_v1: [0]
• eval_realshellsort_bb4_in_v2: [X₃-1]
• eval_realshellsort_bb4_in_v3: [X₃-X₅]
• eval_realshellsort_bb4_in_v4: [X₃-1-X₅]
• eval_realshellsort_bb5_in_v1: [X₃-X₅]
• eval_realshellsort_bb5_in_v2: [X₃-1-X₅]
• eval_realshellsort_bb6_in_v1: [X₃-1-X₅]
• eval_realshellsort_bb6_in_v2: [X₃-1-X₅]